0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_ext
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n093.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:28:39 CST 2018
8.12/8.32	% done 3031 iterations in 8.121s
8.12/8.32	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
8.12/8.32	% SZS output start Refutation
8.12/8.32	tff(fact_4_constant, axiom,
8.12/8.32	  (![Ga:fun_Ho1877127206a_bool,Pa:fun_a_fun_state_bool,Ca:com,
8.12/8.32	     Q_1:fun_a_fun_state_bool,C:bool]:
8.12/8.32	     ((hBOOL(C) =>
8.12/8.32	       hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),
8.12/8.32	                                    hAPP_f16502863a_bool(hAPP_H1975128022a_bool(
8.12/8.32	                                                         insert1434104874iple_a,
8.12/8.32	                                                         hoare_1652181356iple_a(
8.12/8.32	                                                         Pa,Ca,Q_1)),
8.12/8.32	                                                         bot_bo1208640912a_bool)))) =>
8.12/8.32	      hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),
8.12/8.32	                                   hAPP_f16502863a_bool(hAPP_H1975128022a_bool(
8.12/8.32	                                                        insert1434104874iple_a,
8.12/8.32	                                                        hoare_1652181356iple_a(
8.12/8.32	                                                        hAPP_b540892988e_bool(
8.12/8.32	                                                        hAPP_f1824947087e_bool(
8.12/8.32	                                                        cOMBC_41962815e_bool,
8.12/8.32	                                                        hAPP_f340725611e_bool(
8.12/8.32	                                                        cOMBB_1348041619bool_a(
8.12/8.32	                                                        cOMBC_231445413l_bool),
8.12/8.32	                                                        hAPP_f1509969235l_bool(
8.12/8.32	                                                        cOMBB_1355796797bool_a(
8.12/8.32	                                                        cOMBB_188601460_state(
8.12/8.32	                                                        fconj)),Pa))),C),Ca,
8.12/8.32	                                                        Q_1)),
8.12/8.32	                                                        bot_bo1208640912a_bool)))))).
8.12/8.32	tff('0', plain,
8.12/8.32	    ![X14 : fun_Ho1877127206a_bool, X15 : fun_a_fun_state_bool, X16 : bool, 
8.12/8.32	      X17 : com, X18 : fun_a_fun_state_bool]:
8.12/8.32	      (hBOOL(
8.12/8.32	         hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X14), 
8.12/8.32	           hAPP_f16502863a_bool(
8.12/8.32	             hAPP_H1975128022a_bool(insert1434104874iple_a, 
8.12/8.32	               hoare_1652181356iple_a(
8.12/8.32	                 hAPP_b540892988e_bool(
8.12/8.32	                   hAPP_f1824947087e_bool(cOMBC_41962815e_bool, 
8.12/8.32	                     hAPP_f340725611e_bool(
8.12/8.32	                       cOMBB_1348041619bool_a(cOMBC_231445413l_bool), 
8.12/8.32	                       hAPP_f1509969235l_bool(
8.12/8.32	                         cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.32	                         X15))), X16), X17, X18)), bot_bo1208640912a_bool)))
8.12/8.32	       | hBOOL(X16)),
8.12/8.32	    inference('cnf', [status(esa)], [fact_4_constant])).
8.12/8.32	tff(fact_7_conseq1, axiom,
8.12/8.32	  (![Pa:fun_a_fun_state_bool,Ga:fun_Ho1877127206a_bool,
8.12/8.32	     P_2:fun_a_fun_state_bool,Ca:com,Q_1:fun_a_fun_state_bool]:
8.12/8.32	     (hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),
8.12/8.32	                                   hAPP_f16502863a_bool(hAPP_H1975128022a_bool(
8.12/8.32	                                                        insert1434104874iple_a,
8.12/8.32	                                                        hoare_1652181356iple_a(
8.12/8.32	                                                        P_2,Ca,Q_1)),
8.12/8.32	                                                        bot_bo1208640912a_bool))) =>
8.12/8.32	      ((![Z_1:x_a,S:state]:
8.12/8.32	          (hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_1),S)) =>
8.12/8.32	           hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(P_2,Z_1),S)))) =>
8.12/8.32	       hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(Ga),
8.12/8.32	                                    hAPP_f16502863a_bool(hAPP_H1975128022a_bool(
8.12/8.32	                                                         insert1434104874iple_a,
8.12/8.32	                                                         hoare_1652181356iple_a(
8.12/8.32	                                                         Pa,Ca,Q_1)),
8.12/8.32	                                                         bot_bo1208640912a_bool))))))).
8.12/8.32	tff('1', plain,
8.12/8.32	    ![X28 : fun_a_fun_state_bool, X29 : fun_a_fun_state_bool, 
8.12/8.32	      X30 : fun_Ho1877127206a_bool, X31 : com, X32 : fun_a_fun_state_bool]:
8.12/8.32	      (hBOOL(
8.12/8.32	         hAPP_state_bool(hAPP_a2036067514e_bool(X29, sk_Z_12(X28, X29)), 
8.12/8.32	           sk_S2(X28, X29)))
8.12/8.32	       | ~ hBOOL(
8.12/8.32	             hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X30), 
8.12/8.32	               hAPP_f16502863a_bool(
8.12/8.32	                 hAPP_H1975128022a_bool(insert1434104874iple_a, 
8.12/8.32	                   hoare_1652181356iple_a(X28, X31, X32)), 
8.12/8.32	                 bot_bo1208640912a_bool)))
8.12/8.32	       | hBOOL(
8.12/8.32	           hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X30), 
8.12/8.32	             hAPP_f16502863a_bool(
8.12/8.32	               hAPP_H1975128022a_bool(insert1434104874iple_a, 
8.12/8.32	                 hoare_1652181356iple_a(X29, X31, X32)), 
8.12/8.32	               bot_bo1208640912a_bool)))),
8.12/8.32	    inference('cnf', [status(esa)], [fact_7_conseq1])).
8.12/8.32	tff('2', plain,
8.12/8.32	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : bool, 
8.12/8.32	      X3 : fun_a_fun_state_bool, X4 : fun_Ho1877127206a_bool, 
8.12/8.32	      X5 : fun_a_fun_state_bool]:
8.12/8.32	      (~ $true
8.12/8.32	       | hBOOL(X2)
8.12/8.32	       | hBOOL(
8.12/8.32	           hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X4), 
8.12/8.32	             hAPP_f16502863a_bool(
8.12/8.32	               hAPP_H1975128022a_bool(insert1434104874iple_a, 
8.12/8.32	                 hoare_1652181356iple_a(X5, X1, X0)), bot_bo1208640912a_bool)))
8.12/8.32	       | hBOOL(
8.12/8.32	           hAPP_state_bool(
8.12/8.32	             hAPP_a2036067514e_bool(X5, 
8.12/8.32	               sk_Z_12(
8.12/8.32	                 hAPP_b540892988e_bool(
8.12/8.32	                   hAPP_f1824947087e_bool(cOMBC_41962815e_bool, 
8.12/8.32	                     hAPP_f340725611e_bool(
8.12/8.32	                       cOMBB_1348041619bool_a(cOMBC_231445413l_bool), 
8.12/8.32	                       hAPP_f1509969235l_bool(
8.12/8.32	                         cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.32	                         X3))), X2), X5)), 
8.12/8.32	             sk_S2(
8.12/8.32	               hAPP_b540892988e_bool(
8.12/8.32	                 hAPP_f1824947087e_bool(cOMBC_41962815e_bool, 
8.12/8.32	                   hAPP_f340725611e_bool(
8.12/8.32	                     cOMBB_1348041619bool_a(cOMBC_231445413l_bool), 
8.12/8.32	                     hAPP_f1509969235l_bool(
8.12/8.32	                       cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.32	                       X3))), X2), X5)))),
8.12/8.32	    inference('sup-', [status(thm)], ['0', '1'])).
8.12/8.32	tff('3', plain,
8.12/8.32	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : bool, 
8.12/8.32	      X3 : fun_a_fun_state_bool, X4 : fun_Ho1877127206a_bool, 
8.12/8.32	      X5 : fun_a_fun_state_bool]:
8.12/8.32	      (hBOOL(
8.12/8.32	         hAPP_state_bool(
8.12/8.32	           hAPP_a2036067514e_bool(X5, 
8.12/8.32	             sk_Z_12(
8.12/8.32	               hAPP_b540892988e_bool(
8.12/8.32	                 hAPP_f1824947087e_bool(cOMBC_41962815e_bool, 
8.12/8.32	                   hAPP_f340725611e_bool(
8.12/8.32	                     cOMBB_1348041619bool_a(cOMBC_231445413l_bool), 
8.12/8.32	                     hAPP_f1509969235l_bool(
8.12/8.32	                       cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.32	                       X3))), X2), X5)), 
8.12/8.32	           sk_S2(
8.12/8.32	             hAPP_b540892988e_bool(
8.12/8.32	               hAPP_f1824947087e_bool(cOMBC_41962815e_bool, 
8.12/8.32	                 hAPP_f340725611e_bool(
8.12/8.32	                   cOMBB_1348041619bool_a(cOMBC_231445413l_bool), 
8.12/8.32	                   hAPP_f1509969235l_bool(
8.12/8.32	                     cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.32	                     X3))), X2), X5)))
8.12/8.32	       | hBOOL(
8.12/8.32	           hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X4), 
8.12/8.32	             hAPP_f16502863a_bool(
8.12/8.32	               hAPP_H1975128022a_bool(insert1434104874iple_a, 
8.12/8.32	                 hoare_1652181356iple_a(X5, X1, X0)), bot_bo1208640912a_bool)))
8.12/8.32	       | hBOOL(X2)),
8.12/8.32	    inference('simplify', [status(thm)], ['2'])).
8.12/8.32	tff(conj_0, conjecture,
8.12/8.32	  (hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),
8.12/8.32	                                hAPP_f16502863a_bool(hAPP_H1975128022a_bool(
8.12/8.32	                                                     insert1434104874iple_a,
8.12/8.32	                                                     hoare_1652181356iple_a(
8.12/8.32	                                                     cOMBK_1458035955bool_a(
8.12/8.32	                                                     cOMBK_bool_state(fFalse)),
8.12/8.32	                                                     c,
8.12/8.32	                                                     hAPP_f762886889e_bool(
8.12/8.32	                                                     hAPP_f1261923407e_bool(
8.12/8.32	                                                     cOMBC_892787026e_bool,
8.12/8.32	                                                     hAPP_f963367678e_bool(
8.12/8.32	                                                     cOMBB_145932198bool_a(
8.12/8.32	                                                     cOMBS_1378840469l_bool),
8.12/8.32	                                                     hAPP_f1509969235l_bool(
8.12/8.32	                                                     cOMBB_1355796797bool_a(
8.12/8.32	                                                     cOMBB_188601460_state(
8.12/8.32	                                                     fconj)),p))),
8.12/8.32	                                                     hAPP_f1759915619e_bool(
8.12/8.32	                                                     cOMBB_160679318_state(
8.12/8.32	                                                     fNot),b)))),
8.12/8.32	                                                     bot_bo1208640912a_bool))))).
8.12/8.32	tff(zf_stmt_0, negated_conjecture,
8.12/8.33	  (~
8.12/8.33	    hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),
8.12/8.33	                                 hAPP_f16502863a_bool(hAPP_H1975128022a_bool(
8.12/8.33	                                                      insert1434104874iple_a,
8.12/8.33	                                                      hoare_1652181356iple_a(
8.12/8.33	                                                      cOMBK_1458035955bool_a(
8.12/8.33	                                                      cOMBK_bool_state(
8.12/8.33	                                                      fFalse)),c,
8.12/8.33	                                                      hAPP_f762886889e_bool(
8.12/8.33	                                                      hAPP_f1261923407e_bool(
8.12/8.33	                                                      cOMBC_892787026e_bool,
8.12/8.33	                                                      hAPP_f963367678e_bool(
8.12/8.33	                                                      cOMBB_145932198bool_a(
8.12/8.33	                                                      cOMBS_1378840469l_bool),
8.12/8.33	                                                      hAPP_f1509969235l_bool(
8.12/8.33	                                                      cOMBB_1355796797bool_a(
8.12/8.33	                                                      cOMBB_188601460_state(
8.12/8.33	                                                      fconj)),p))),
8.12/8.33	                                                      hAPP_f1759915619e_bool(
8.12/8.33	                                                      cOMBB_160679318_state(
8.12/8.33	                                                      fNot),b)))),
8.12/8.33	                                                      bot_bo1208640912a_bool))))).
8.12/8.33	tff('4', plain,
8.12/8.33	    ~ hBOOL(
8.12/8.33	        hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g), 
8.12/8.33	          hAPP_f16502863a_bool(
8.12/8.33	            hAPP_H1975128022a_bool(insert1434104874iple_a, 
8.12/8.33	              hoare_1652181356iple_a(
8.12/8.33	                cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)), c, 
8.12/8.33	                hAPP_f762886889e_bool(
8.12/8.33	                  hAPP_f1261923407e_bool(cOMBC_892787026e_bool, 
8.12/8.33	                    hAPP_f963367678e_bool(
8.12/8.33	                      cOMBB_145932198bool_a(cOMBS_1378840469l_bool), 
8.12/8.33	                      hAPP_f1509969235l_bool(
8.12/8.33	                        cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.33	                        p))), 
8.12/8.33	                  hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot), b)))), 
8.12/8.33	            bot_bo1208640912a_bool))),
8.12/8.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.12/8.33	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
8.12/8.33	tff('5', plain, ![X293 : bool]: (X293 = fFalse | X293 = fTrue),
8.12/8.33	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
8.12/8.33	tff(fact_22_empty__def, axiom,
8.12/8.33	  (bot_bo1208640912a_bool =
8.12/8.33	   collec829051333iple_a(cOMBK_712844119iple_a(fFalse)))).
8.12/8.33	tff('6', plain,
8.12/8.33	    bot_bo1208640912a_bool
8.12/8.33	     = collec829051333iple_a(cOMBK_712844119iple_a(fFalse)),
8.12/8.33	    inference('cnf', [status(esa)], [fact_22_empty__def])).
8.12/8.33	tff(fact_74_Collect__def, axiom,
8.12/8.33	  (![Pa:fun_Ho1877127206a_bool]: (collec829051333iple_a(Pa) = Pa))).
8.12/8.33	tff('7', plain,
8.12/8.33	    ![X201 : fun_Ho1877127206a_bool]: collec829051333iple_a(X201) = X201,
8.12/8.33	    inference('cnf', [status(esa)], [fact_74_Collect__def])).
8.12/8.33	tff('8', plain, bot_bo1208640912a_bool = cOMBK_712844119iple_a(fFalse),
8.12/8.33	    inference('demod', [status(thm)], ['6', '7'])).
8.12/8.33	tff(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____yiemogtkbg__, axiom,
8.12/8.33	  (![P:bool,Q:hoare_1927711152iple_a]:
8.12/8.33	     (hAPP_H1448631928a_bool(cOMBK_712844119iple_a(P),Q) = P))).
8.12/8.33	tff('9', plain,
8.12/8.33	    ![X327 : bool, X328 : hoare_1927711152iple_a]:
8.12/8.33	      hAPP_H1448631928a_bool(cOMBK_712844119iple_a(X327), X328) = X327,
8.12/8.33	    inference('cnf', [status(esa)],
8.12/8.33	              [help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____yiemogtkbg__])).
8.12/8.33	tff('10', plain,
8.12/8.33	    ![X0 : hoare_1927711152iple_a]:
8.12/8.33	      hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X0) = fFalse,
8.12/8.33	    inference('sup+', [status(thm)], ['8', '9'])).
8.12/8.33	tff('11', plain,
8.12/8.33	    ![X0 : bool, X1 : hoare_1927711152iple_a]:
8.12/8.33	      (hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X1) = X0 | X0 = fTrue),
8.12/8.33	    inference('sup+', [status(thm)], ['5', '10'])).
8.12/8.33	tff(fact_71_finite_OemptyI, axiom,
8.12/8.33	  (hBOOL(hAPP_f1454306822l_bool(finite68738179iple_a,bot_bo1208640912a_bool)))).
8.12/8.33	tff('12', plain,
8.12/8.33	    hBOOL(
8.12/8.33	      hAPP_f1454306822l_bool(finite68738179iple_a, bot_bo1208640912a_bool)),
8.12/8.33	    inference('cnf', [status(esa)], [fact_71_finite_OemptyI])).
8.12/8.33	tff(help_fFalse_1_1_U, axiom, (~hBOOL(fFalse))).
8.12/8.33	tff('13', plain, ~ hBOOL(fFalse),
8.12/8.33	    inference('cnf', [status(esa)], [help_fFalse_1_1_U])).
8.12/8.33	tff('14', plain, ![X0 : bool]: (~ hBOOL(X0) | X0 = fTrue),
8.12/8.33	    inference('sup-', [status(thm)], ['5', '13'])).
8.12/8.33	tff('15', plain,
8.12/8.33	    (~ $true
8.12/8.33	     | hAPP_f1454306822l_bool(finite68738179iple_a, bot_bo1208640912a_bool)
8.12/8.33	        = fTrue),
8.12/8.33	    inference('sup-', [status(thm)], ['12', '14'])).
8.12/8.33	tff('16', plain,
8.12/8.33	    hAPP_f1454306822l_bool(finite68738179iple_a, bot_bo1208640912a_bool)
8.12/8.33	     = fTrue,
8.12/8.33	    inference('simplify', [status(thm)], ['15'])).
8.12/8.33	tff('17', plain,
8.12/8.33	    ![X0 : bool, X1 : hoare_1927711152iple_a]:
8.12/8.33	      (hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X1) = X0
8.12/8.33	       | X0
8.12/8.33	          = hAPP_f1454306822l_bool(finite68738179iple_a, 
8.12/8.33	              bot_bo1208640912a_bool)),
8.12/8.33	    inference('demod', [status(thm)], ['11', '16'])).
8.12/8.33	tff(fact_41_bot__apply, axiom,
8.12/8.33	  (![X_1:hoare_1927711152iple_a]:
8.12/8.33	     (hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X_1)) <=>
8.12/8.33	      hBOOL(bot_bot_bool)))).
8.12/8.33	tff('18', plain,
8.12/8.33	    ![X117 : hoare_1927711152iple_a]:
8.12/8.33	      (hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X117))
8.12/8.33	       | ~ hBOOL(bot_bot_bool)),
8.12/8.33	    inference('cnf', [status(esa)], [fact_41_bot__apply])).
8.12/8.33	tff('19', plain,
8.12/8.33	    ![X0 : hoare_1927711152iple_a]:
8.12/8.33	      ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X0)),
8.12/8.33	    inference('sup-', [status(thm)], ['10', '13'])).
8.12/8.33	tff('20', plain, ~ hBOOL(bot_bot_bool),
8.12/8.33	    inference('clc', [status(thm)], ['18', '19'])).
8.12/8.33	tff('21', plain,
8.12/8.33	    ![X0 : hoare_1927711152iple_a]:
8.12/8.33	      (~ hBOOL(
8.12/8.33	           hAPP_f1454306822l_bool(finite68738179iple_a, 
8.12/8.33	             bot_bo1208640912a_bool))
8.12/8.33	       | hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X0) = bot_bot_bool),
8.12/8.33	    inference('sup-', [status(thm)], ['17', '20'])).
8.12/8.33	tff('22', plain,
8.12/8.33	    ![X0 : hoare_1927711152iple_a]:
8.12/8.33	      (~ $true
8.12/8.33	       | hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X0) = bot_bot_bool),
8.12/8.33	    inference('demod', [status(thm)], ['21', '12'])).
8.12/8.33	tff('23', plain,
8.12/8.33	    ![X0 : hoare_1927711152iple_a]:
8.12/8.33	      hAPP_H1448631928a_bool(bot_bo1208640912a_bool, X0) = bot_bot_bool,
8.12/8.33	    inference('simplify', [status(thm)], ['22'])).
8.12/8.33	tff('24', plain, bot_bot_bool = fFalse,
8.12/8.33	    inference('sup+', [status(thm)], ['23', '10'])).
8.12/8.33	tff('25', plain,
8.12/8.33	    ~ hBOOL(
8.12/8.33	        hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g), 
8.12/8.33	          hAPP_f16502863a_bool(
8.12/8.33	            hAPP_H1975128022a_bool(insert1434104874iple_a, 
8.12/8.33	              hoare_1652181356iple_a(
8.12/8.33	                cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)), c, 
8.12/8.33	                hAPP_f762886889e_bool(
8.12/8.33	                  hAPP_f1261923407e_bool(cOMBC_892787026e_bool, 
8.12/8.33	                    hAPP_f963367678e_bool(
8.12/8.33	                      cOMBB_145932198bool_a(cOMBS_1378840469l_bool), 
8.12/8.33	                      hAPP_f1509969235l_bool(
8.12/8.33	                        cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.33	                        p))), 
8.12/8.33	                  hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot), b)))), 
8.12/8.33	            bot_bo1208640912a_bool))),
8.12/8.33	    inference('demod', [status(thm)], ['4', '24'])).
8.12/8.33	tff('26', plain,
8.12/8.33	    ![X0 : bool, X1 : fun_a_fun_state_bool]:
8.12/8.33	      (~ $true
8.12/8.33	       | hBOOL(X0)
8.12/8.33	       | hBOOL(
8.12/8.33	           hAPP_state_bool(
8.12/8.33	             hAPP_a2036067514e_bool(
8.12/8.33	               cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)), 
8.12/8.33	               sk_Z_12(
8.12/8.33	                 hAPP_b540892988e_bool(
8.12/8.33	                   hAPP_f1824947087e_bool(cOMBC_41962815e_bool, 
8.12/8.33	                     hAPP_f340725611e_bool(
8.12/8.33	                       cOMBB_1348041619bool_a(cOMBC_231445413l_bool), 
8.12/8.33	                       hAPP_f1509969235l_bool(
8.12/8.33	                         cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.33	                         X1))), X0), 
8.12/8.33	                 cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)))), 
8.12/8.33	             sk_S2(
8.12/8.33	               hAPP_b540892988e_bool(
8.12/8.33	                 hAPP_f1824947087e_bool(cOMBC_41962815e_bool, 
8.12/8.33	                   hAPP_f340725611e_bool(
8.12/8.33	                     cOMBB_1348041619bool_a(cOMBC_231445413l_bool), 
8.12/8.33	                     hAPP_f1509969235l_bool(
8.12/8.33	                       cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)), 
8.12/8.33	                       X1))), X0), 
8.12/8.33	               cOMBK_1458035955bool_a(cOMBK_bool_state(bot_bot_bool)))))),
8.12/8.33	    inference('sup-', [status(thm)], ['3', '25'])).
8.12/8.33	tff(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U, axiom,
8.12/8.33	  (![P:fun_state_bool,Q:x_a]:
8.12/8.33	     (hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(P),Q) = P))).
8.12/8.33	tff('27', plain,
8.12/8.33	    ![X306 : fun_state_bool, X307 : x_a]:
8.12/8.33	      hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X306), X307) = X306,
8.12/8.33	    inference('cnf', [status(esa)],
8.12/8.33	              [help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U])).
8.12/8.33	tff(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U, axiom,
8.12/8.33	  (![P:bool,Q:state]: (hAPP_state_bool(cOMBK_bool_state(P),Q) = P))).
8.12/8.33	tff('28', plain,
8.12/8.33	    ![X304 : bool, X305 : state]:
8.12/8.33	      hAPP_state_bool(cOMBK_bool_state(X304), X305) = X304,
8.12/8.33	    inference('cnf', [status(esa)],
8.12/8.33	              [help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U])).
8.12/8.33	tff('29', plain, ![X0 : bool]: (~ $true | hBOOL(X0) | hBOOL(bot_bot_bool)),
8.12/8.33	    inference('demod', [status(thm)], ['26', '27', '28'])).
8.12/8.33	tff('30', plain, ![X0 : bool]: (hBOOL(bot_bot_bool) | hBOOL(X0)),
8.12/8.33	    inference('simplify', [status(thm)], ['29'])).
8.12/8.33	tff('31', plain, hBOOL(bot_bot_bool),
8.12/8.33	    inference('condensation', [status(thm)], ['30'])).
8.12/8.33	tff('32', plain, ~ $true, inference('sup-', [status(thm)], ['31', '20'])).
8.12/8.33	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
8.12/8.33	
8.12/8.33	% SZS output end Refutation
8.12/8.33	EOF
