0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_ext
0.00/0.00	% Ordering    : kbo
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	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
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
0.00/0.19	% Computer   : n175.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:32:54 CST 2018
248.77/249.07	% done 52405 iterations in 248.864s
248.77/249.07	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
248.77/249.07	% SZS output start Refutation
248.77/249.07	tff(conj_0, conjecture,
248.77/249.07	  (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,
248.77/249.07	                                     hAPP_int_int(hAPP_int_fun_int_int(
248.77/249.07	                                                  plus_plus_int,one_one_int),
248.77/249.07	                                                  hAPP_nat_int(semiri1621563631at_int,
248.77/249.07	                                                               n))),
248.77/249.07	                hAPP_int_nat(number_number_of_nat,
248.77/249.07	                             hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) !=
248.77/249.07	   zero_zero_int)).
248.77/249.07	tff(zf_stmt_0, negated_conjecture,
248.77/249.07	  (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,
248.77/249.07	                                     hAPP_int_int(hAPP_int_fun_int_int(
248.77/249.07	                                                  plus_plus_int,one_one_int),
248.77/249.07	                                                  hAPP_nat_int(semiri1621563631at_int,
248.77/249.07	                                                               n))),
248.77/249.07	                hAPP_int_nat(number_number_of_nat,
248.77/249.07	                             hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) =
248.77/249.07	   zero_zero_int)).
248.77/249.07	tff('0', plain,
248.77/249.07	    hAPP_nat_int(
248.77/249.07	      hAPP_int_fun_nat_int(power_power_int, 
248.77/249.07	        hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, one_one_int), 
248.77/249.07	          hAPP_nat_int(semiri1621563631at_int, n))), 
248.77/249.07	      hAPP_int_nat(number_number_of_nat, 
248.77/249.07	        hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))
248.77/249.07	     = zero_zero_int,
248.77/249.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
248.77/249.07	tff(fact_102_zadd__commute, axiom,
248.77/249.07	  (![Z_1:int,W:int]:
248.77/249.07	     (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) =
248.77/249.07	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1)))).
248.77/249.07	tff('1', plain,
248.77/249.07	    ![X136 : int, X137 : int]:
248.77/249.07	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X137), X136)
248.77/249.07	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X136), X137),
248.77/249.07	    inference('cnf', [status(esa)], [fact_102_zadd__commute])).
248.77/249.07	tff(fact_857_succ__def, axiom,
248.77/249.07	  (![K_2:int]:
248.77/249.07	     (hAPP_int_int(succ,K_2) =
248.77/249.07	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)))).
248.77/249.07	tff('2', plain,
248.77/249.07	    ![X1706 : int]:
248.77/249.07	      hAPP_int_int(succ, X1706)
248.77/249.07	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X1706), 
248.77/249.07	           one_one_int),
248.77/249.07	    inference('cnf', [status(esa)], [fact_857_succ__def])).
248.77/249.07	tff('3', plain,
248.77/249.07	    ![X0 : int]:
248.77/249.07	      hAPP_int_int(succ, X0)
248.77/249.07	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, one_one_int), X0),
248.77/249.07	    inference('sup+', [status(thm)], ['1', '2'])).
248.77/249.07	tff(fact_151_Pls__def, axiom, (pls = zero_zero_int)).
248.77/249.07	tff('4', plain, pls = zero_zero_int,
248.77/249.07	    inference('cnf', [status(esa)], [fact_151_Pls__def])).
248.77/249.07	tff(fact_51_semiring__norm_I110_J, axiom,
248.77/249.07	  (one_one_int = hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)))).
248.77/249.07	tff('5', plain,
248.77/249.07	    one_one_int = hAPP_int_int(number_number_of_int, hAPP_int_int(bit1, pls)),
248.77/249.07	    inference('cnf', [status(esa)], [fact_51_semiring__norm_I110_J])).
248.77/249.07	tff(fact_279_number__of__is__id, axiom,
248.77/249.07	  (![K_2:int]: (hAPP_int_int(number_number_of_int,K_2) = K_2))).
248.77/249.07	tff('6', plain,
248.77/249.07	    ![X408 : int]: hAPP_int_int(number_number_of_int, X408) = X408,
248.77/249.07	    inference('cnf', [status(esa)], [fact_279_number__of__is__id])).
248.77/249.07	tff('7', plain, one_one_int = hAPP_int_int(bit1, zero_zero_int),
248.77/249.07	    inference('demod', [status(thm)], ['5', '4', '6'])).
248.77/249.07	tff(fact_38_semiring__one__add__one__is__two, axiom,
248.77/249.07	  (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) =
248.77/249.07	   hAPP_int_nat(number_number_of_nat,
248.77/249.07	                hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
248.77/249.07	tff('8', plain,
248.77/249.07	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
248.77/249.07	      one_one_nat)
248.77/249.07	     = hAPP_int_nat(number_number_of_nat, 
248.77/249.07	         hAPP_int_int(bit0, hAPP_int_int(bit1, pls))),
248.77/249.07	    inference('cnf', [status(esa)],
248.77/249.07	              [fact_38_semiring__one__add__one__is__two])).
248.77/249.07	tff('9', plain,
248.77/249.07	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
248.77/249.07	      one_one_nat)
248.77/249.07	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
248.77/249.07	    inference('demod', [status(thm)], ['8', '4', '7'])).
248.77/249.07	tff(fact_3063_Suc__eq__plus1, axiom,
248.77/249.07	  (![N:nat]:
248.77/249.07	     (hAPP_nat_nat(suc,N) =
248.77/249.07	      hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)))).
248.77/249.07	tff('10', plain,
248.77/249.07	    ![X7043 : nat]:
248.77/249.07	      hAPP_nat_nat(suc, X7043)
248.77/249.07	       = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, X7043), 
248.77/249.07	           one_one_nat),
248.77/249.07	    inference('cnf', [status(esa)], [fact_3063_Suc__eq__plus1])).
248.77/249.07	tff('11', plain,
248.77/249.07	    hAPP_nat_nat(suc, one_one_nat)
248.77/249.07	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
248.77/249.07	    inference('demod', [status(thm)], ['9', '10'])).
248.77/249.07	tff('12', plain,
248.77/249.07	    hAPP_nat_int(
248.77/249.07	      hAPP_int_fun_nat_int(power_power_int, 
248.77/249.07	        hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, n))), 
248.77/249.07	      hAPP_nat_nat(suc, one_one_nat))
248.77/249.07	     = zero_zero_int,
248.77/249.07	    inference('demod', [status(thm)], ['0', '3', '4', '7', '11'])).
248.77/249.07	tff(fact_414_zero__less__power, axiom,
248.77/249.07	  (![N_46:nat,A_195:int]:
248.77/249.07	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
248.77/249.07	                          A_195)) =>
248.77/249.07	      hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
248.77/249.07	                          hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,
248.77/249.07	                                                            A_195),
248.77/249.07	                                       N_46)))))).
248.77/249.07	tff('13', plain,
248.77/249.07	    ![X640 : int, X641 : nat]:
248.77/249.07	      (hBOOL(
248.77/249.07	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
248.77/249.07	           hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X640), X641)))
248.77/249.07	       | ~ hBOOL(
248.77/249.07	             hAPP_int_bool(
248.77/249.07	               hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), X640))),
248.77/249.07	    inference('cnf', [status(esa)], [fact_414_zero__less__power])).
248.77/249.07	tff('14', plain,
248.77/249.07	    (hBOOL(
248.77/249.07	       hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
248.77/249.07	         zero_zero_int))
248.77/249.07	     | ~ hBOOL(
248.77/249.07	           hAPP_int_bool(
248.77/249.07	             hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
248.77/249.07	             hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, n))))),
248.77/249.07	    inference('sup+', [status(thm)], ['12', '13'])).
248.77/249.07	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
248.77/249.07	tff('15', plain, ![X11429 : bool]: (X11429 = fFalse | X11429 = fTrue),
248.77/249.07	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
248.77/249.07	tff(fact_562_zless__le, axiom,
248.77/249.07	  (![Z_2:int,Wa:int]:
248.77/249.07	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),Wa)) <=>
248.77/249.07	      ((Z_2 != Wa) & 
248.77/249.07	       hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),Wa)))))).
248.77/249.07	tff('16', plain,
248.77/249.07	    ![X987 : int, X988 : int]:
248.77/249.07	      (X988 != X987
248.77/249.07	       | ~ hBOOL(
248.77/249.07	             hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X988), X987))),
248.77/249.07	    inference('cnf', [status(esa)], [fact_562_zless__le])).
248.77/249.07	tff('17', plain,
248.77/249.07	    ![X987 : int]:
248.77/249.07	      ~ hBOOL(
248.77/249.07	          hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X987), X987)),
248.77/249.07	    inference('simplify', [status(thm)], ['16'])).
248.77/249.07	tff('18', plain,
248.77/249.07	    ![X0 : int]:
248.77/249.07	      (~ hBOOL(fTrue)
248.77/249.07	       | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X0), X0) = fFalse),
248.77/249.07	    inference('sup-', [status(thm)], ['15', '17'])).
248.77/249.07	tff(help_fTrue_1_1_U, axiom, (hBOOL(fTrue))).
248.77/249.07	tff('19', plain, hBOOL(fTrue),
248.77/249.07	    inference('cnf', [status(esa)], [help_fTrue_1_1_U])).
248.77/249.07	tff('20', plain,
248.77/249.07	    ![X0 : int]:
248.77/249.07	      (~ $true
248.77/249.07	       | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X0), X0) = fFalse),
248.77/249.07	    inference('demod', [status(thm)], ['18', '19'])).
248.77/249.07	tff('21', plain,
248.77/249.07	    ![X0 : int]:
248.77/249.07	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X0), X0) = fFalse,
248.77/249.07	    inference('simplify', [status(thm)], ['20'])).
248.77/249.07	tff(fact_738_zle__iff__zadd, axiom,
248.77/249.07	  (![Wa:int,Z_2:int]:
248.77/249.07	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),Z_2)) <=>
248.77/249.07	      (?[N_1:nat]:
248.77/249.07	         (Z_2 =
248.77/249.07	          hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Wa),
248.77/249.07	                       hAPP_nat_int(semiri1621563631at_int,N_1))))))).
248.77/249.07	tff('22', plain,
248.77/249.07	    ![X1384 : int, X1386 : int, X1387 : nat]:
248.77/249.07	      (hBOOL(
248.77/249.07	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X1384), X1386))
248.77/249.07	       | X1386
248.77/249.07	          != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X1384), 
248.77/249.07	               hAPP_nat_int(semiri1621563631at_int, X1387))),
248.77/249.07	    inference('cnf', [status(esa)], [fact_738_zle__iff__zadd])).
248.77/249.07	tff('23', plain,
248.77/249.07	    ![X1384 : int, X1387 : nat]:
248.77/249.07	      hBOOL(
248.77/249.07	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X1384), 
248.77/249.07	          hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X1384), 
248.77/249.07	            hAPP_nat_int(semiri1621563631at_int, X1387)))),
248.77/249.07	    inference('simplify', [status(thm)], ['22'])).
248.77/249.07	tff('24', plain,
248.77/249.07	    ![X0 : nat]:
248.77/249.07	      hBOOL(
248.77/249.07	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), 
248.77/249.07	          hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, X0)))),
248.77/249.07	    inference('sup+', [status(thm)], ['3', '23'])).
248.77/249.07	tff(fact_770_int__one__le__iff__zero__less, axiom,
248.77/249.07	  (![Z_2:int]:
248.77/249.07	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),
248.77/249.07	                          Z_2)) <=>
248.77/249.07	      hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
248.77/249.07	                          Z_2))))).
248.77/249.07	tff('25', plain,
248.77/249.07	    ![X1450 : int]:
248.77/249.07	      (hBOOL(
248.77/249.07	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
248.77/249.07	           X1450))
248.77/249.07	       | ~ hBOOL(
248.77/249.07	             hAPP_int_bool(
248.77/249.07	               hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), X1450))),
248.77/249.07	    inference('cnf', [status(esa)], [fact_770_int__one__le__iff__zero__less])).
248.77/249.07	tff('26', plain,
248.77/249.07	    ![X0 : nat]:
248.77/249.07	      (~ $true
248.77/249.07	       | hBOOL(
248.77/249.07	           hAPP_int_bool(
248.77/249.07	             hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
248.77/249.07	             hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, X0))))),
248.77/249.07	    inference('sup-', [status(thm)], ['24', '25'])).
248.77/249.07	tff('27', plain,
248.77/249.07	    ![X0 : nat]:
248.77/249.07	      hBOOL(
248.77/249.07	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
248.77/249.07	          hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, X0)))),
248.77/249.07	    inference('simplify', [status(thm)], ['26'])).
248.77/249.07	tff('28', plain, (hBOOL(fFalse) | ~ $true),
248.77/249.07	    inference('demod', [status(thm)], ['14', '21', '27'])).
248.77/249.07	tff('29', plain, hBOOL(fFalse), inference('simplify', [status(thm)], ['28'])).
248.77/249.07	tff(help_fFalse_1_1_U, axiom, (~hBOOL(fFalse))).
248.77/249.07	tff('30', plain, ~ hBOOL(fFalse),
248.77/249.07	    inference('cnf', [status(esa)], [help_fFalse_1_1_U])).
248.77/249.07	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['29', '30'])).
248.77/249.07	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
248.77/249.07	
248.77/249.07	% SZS output end Refutation
248.77/249.07	EOF
