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    : purification_int
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n073.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:50:23 CST 2018
0.39/0.61	% done 1056 iterations in 0.407s
0.39/0.61	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.39/0.61	% SZS output start Refutation
0.39/0.61	tff(arity_RealDef_Oreal___Orderings_Opreorder, axiom, (preorder(real))).
0.39/0.61	tff('0', plain, preorder(real),
0.39/0.61	    inference('cnf', [status(esa)],
0.39/0.61	              [arity_RealDef_Oreal___Orderings_Opreorder])).
0.39/0.61	tff(fact_20_order__refl, axiom,
0.39/0.61	  (![A:$tType]: (preorder(A) => (![X2:A]: ord_less_eq(A,X2,X2))))).
0.39/0.61	tff('1', plain,
0.39/0.61	    ![X33 : $tType, X34 : X33]:
0.39/0.61	      (ord_less_eq(X33, X34, X34) | ~ preorder(X33)),
0.39/0.61	    inference('cnf', [status(esa)], [fact_20_order__refl])).
0.39/0.61	tff('2', plain, ![X0 : real]: (~ $true | ord_less_eq(real, X0, X0)),
0.39/0.61	    inference('sup-', [status(thm)], ['0', '1'])).
0.39/0.61	tff('3', plain, ![X0 : real]: ord_less_eq(real, X0, X0),
0.39/0.61	    inference('simplify', [status(thm)], ['2'])).
0.39/0.61	tff(fact_4__096_091_124_Ay_A_060_AL_059_AALL_Az_O_AP_Az_A_N_N_062_A_126_Ay_A_060_Az_A_124_093_A_061_061_062_AFalse_096, axiom,
0.39/0.61	  (ord_less(real,y,l) =>
0.39/0.61	   (~(![Z1:real]: (pp(aa(real,bool,p,Z1)) => (~ord_less(real,y,Z1))))))).
0.39/0.61	tff('4', plain, (ord_less(real, y, sk_Z11) | ~ ord_less(real, y, l)),
0.39/0.61	    inference('cnf', [status(esa)],
0.39/0.61	              [fact_4__096_091_124_Ay_A_060_AL_059_AALL_Az_O_AP_Az_A_N_N_062_A_126_Ay_A_060_Az_A_124_093_A_061_061_062_AFalse_096])).
0.39/0.61	tff(fact_42_order__less__le__trans, axiom,
0.39/0.61	  (![A:$tType]:
0.39/0.61	     (preorder(A) =>
0.39/0.61	      (![Z:A,Y1:A,X2:A]:
0.39/0.61	         (ord_less(A,X2,Y1) => (ord_less_eq(A,Y1,Z) => ord_less(A,X2,Z))))))).
0.39/0.61	tff('5', plain,
0.39/0.61	    ![X97 : $tType, X98 : X97, X99 : X97, X100 : X97]:
0.39/0.61	      (ord_less(X97, X98, X99)
0.39/0.61	       | ~ ord_less(X97, X98, X100)
0.39/0.61	       | ~ ord_less_eq(X97, X100, X99)
0.39/0.61	       | ~ preorder(X97)),
0.39/0.61	    inference('cnf', [status(esa)], [fact_42_order__less__le__trans])).
0.39/0.61	tff('6', plain,
0.39/0.61	    ![X0 : real]:
0.39/0.61	      (~ $true
0.39/0.61	       | ~ ord_less(real, y, l)
0.39/0.61	       | ~ preorder(real)
0.39/0.61	       | ~ ord_less_eq(real, sk_Z11, X0)
0.39/0.61	       | ord_less(real, y, X0)),
0.39/0.61	    inference('sup-', [status(thm)], ['4', '5'])).
0.39/0.61	tff(conj_0, conjecture,
0.39/0.61	  ((?[X:real]: (ord_less(real,y,X) & pp(aa(real,bool,p,X)))) <=>
0.39/0.61	   ord_less(real,y,l))).
0.39/0.61	tff(zf_stmt_0, negated_conjecture,
0.39/0.61	  (~
0.39/0.61	    ((?[X:real]: (ord_less(real,y,X) & pp(aa(real,bool,p,X)))) <=>
0.39/0.61	     ord_less(real,y,l)))).
0.39/0.61	tff('7', plain, (ord_less(real, y, l) | pp(aa(real, bool, p, sk_X1))),
0.39/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.39/0.61	tff(fact_3__096_B_Bz_O_A_091_124_AP_Az_059_Ay_A_060_Az_A_124_093_A_061_061_062_Ay_A_060_AL_096, axiom,
0.39/0.61	  (![Z2:real]:
0.39/0.61	     (pp(aa(real,bool,p,Z2)) => (ord_less(real,y,Z2) => ord_less(real,y,l))))).
0.39/0.61	tff('8', plain,
0.39/0.61	    ![X1 : real]:
0.39/0.61	      (ord_less(real, y, l)
0.39/0.61	       | ~ pp(aa(real, bool, p, X1))
0.39/0.61	       | ~ ord_less(real, y, X1)),
0.39/0.61	    inference('cnf', [status(esa)],
0.39/0.61	              [fact_3__096_B_Bz_O_A_091_124_AP_Az_059_Ay_A_060_Az_A_124_093_A_061_061_062_Ay_A_060_AL_096])).
0.39/0.61	tff('9', plain,
0.39/0.61	    (~ $true
0.39/0.61	     | ord_less(real, y, l)
0.39/0.61	     | ~ ord_less(real, y, sk_X1)
0.39/0.61	     | ord_less(real, y, l)),
0.39/0.61	    inference('sup-', [status(thm)], ['7', '8'])).
0.39/0.61	tff('10', plain, (~ ord_less(real, y, sk_X1) | ord_less(real, y, l)),
0.39/0.61	    inference('simplify', [status(thm)], ['9'])).
0.39/0.61	tff('11', plain, (ord_less(real, y, l) | ord_less(real, y, sk_X1)),
0.39/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.39/0.61	tff('12', plain, ord_less(real, y, l),
0.39/0.61	    inference('clc', [status(thm)], ['10', '11'])).
0.39/0.61	tff('13', plain,
0.39/0.61	    ![X0 : real]:
0.39/0.61	      (~ $true
0.39/0.61	       | ~ $true
0.39/0.61	       | ~ $true
0.39/0.61	       | ~ ord_less_eq(real, sk_Z11, X0)
0.39/0.61	       | ord_less(real, y, X0)),
0.39/0.61	    inference('demod', [status(thm)], ['6', '12', '0'])).
0.39/0.61	tff('14', plain,
0.39/0.61	    ![X0 : real]: (ord_less(real, y, X0) | ~ ord_less_eq(real, sk_Z11, X0)),
0.39/0.61	    inference('simplify', [status(thm)], ['13'])).
0.39/0.61	tff('15', plain, (~ $true | ord_less(real, y, sk_Z11)),
0.39/0.61	    inference('sup-', [status(thm)], ['3', '14'])).
0.39/0.61	tff('16', plain, ord_less(real, y, sk_Z11),
0.39/0.61	    inference('simplify', [status(thm)], ['15'])).
0.39/0.61	tff('17', plain,
0.39/0.61	    ![X310 : real]:
0.39/0.61	      (~ ord_less(real, y, l)
0.39/0.61	       | ~ pp(aa(real, bool, p, X310))
0.39/0.61	       | ~ ord_less(real, y, X310)),
0.39/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.39/0.61	tff('18', plain,
0.39/0.61	    ![X310 : real]:
0.39/0.61	      (~ $true | ~ pp(aa(real, bool, p, X310)) | ~ ord_less(real, y, X310)),
0.39/0.61	    inference('demod', [status(thm)], ['17', '12'])).
0.39/0.61	tff('19', plain,
0.39/0.61	    ![X310 : real]:
0.39/0.61	      (~ ord_less(real, y, X310) | ~ pp(aa(real, bool, p, X310))),
0.39/0.61	    inference('simplify', [status(thm)], ['18'])).
0.39/0.61	tff('20', plain, (~ $true | ~ pp(aa(real, bool, p, sk_Z11))),
0.39/0.61	    inference('sup-', [status(thm)], ['16', '19'])).
0.39/0.61	tff('21', plain, (pp(aa(real, bool, p, sk_Z11)) | ~ ord_less(real, y, l)),
0.39/0.61	    inference('cnf', [status(esa)],
0.39/0.61	              [fact_4__096_091_124_Ay_A_060_AL_059_AALL_Az_O_AP_Az_A_N_N_062_A_126_Ay_A_060_Az_A_124_093_A_061_061_062_AFalse_096])).
0.39/0.61	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
0.39/0.61	tff('22', plain, ![X309 : bool]: (X309 = fFalse | X309 = fTrue),
0.39/0.61	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
0.39/0.61	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
0.39/0.61	tff('23', plain, ~ pp(fFalse),
0.39/0.61	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
0.39/0.61	tff('24', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
0.39/0.61	    inference('sup-', [status(thm)], ['22', '23'])).
0.39/0.61	tff(fact_83_UNIV__def, axiom,
0.39/0.61	  (![A:$tType]: (top_top(fun(A,bool)) = collect(A,combk(bool,A,fTrue))))).
0.39/0.61	tff('25', plain,
0.39/0.61	    ![X237 : $tType]:
0.39/0.61	      top_top(fun(X237, bool)) = collect(X237, combk(bool, X237, fTrue)),
0.39/0.61	    inference('cnf', [status(esa)], [fact_83_UNIV__def])).
0.39/0.61	tff(fact_77_Collect__def, axiom,
0.39/0.61	  (![A:$tType,Pa:fun(A,bool)]: (collect(A,Pa) = Pa))).
0.39/0.61	tff('26', plain,
0.39/0.61	    ![X210 : $tType, X211 : fun(X210, bool)]: collect(X210, X211) = X211,
0.39/0.61	    inference('cnf', [status(esa)], [fact_77_Collect__def])).
0.39/0.61	tff('27', plain,
0.39/0.61	    ![X237 : $tType]: top_top(fun(X237, bool)) = combk(bool, X237, fTrue),
0.39/0.61	    inference('demod', [status(thm)], ['25', '26'])).
0.39/0.61	tff(help_COMBK_1_1_U, axiom,
0.39/0.61	  (![B:$tType,A:$tType,Q:B,P:A]: (aa(B,A,combk(A,B,P),Q) = P))).
0.39/0.61	tff('28', plain,
0.39/0.61	    ![X305 : $tType, X306 : X305, X307 : $tType, X308 : X307]:
0.39/0.61	      aa(X307, X305, combk(X305, X307, X306), X308) = X306,
0.39/0.61	    inference('cnf', [status(esa)], [help_COMBK_1_1_U])).
0.39/0.61	tff('29', plain,
0.39/0.61	    ![X0 : $tType, X1 : X0]: aa(X0, bool, top_top(fun(X0, bool)), X1) = fTrue,
0.39/0.61	    inference('sup+', [status(thm)], ['27', '28'])).
0.39/0.61	tff(arity_HOL_Obool___Orderings_Otop, axiom, (top(bool))).
0.39/0.61	tff('30', plain, top(bool),
0.39/0.61	    inference('cnf', [status(esa)], [arity_HOL_Obool___Orderings_Otop])).
0.39/0.61	tff(fact_26_top__apply, axiom,
0.39/0.61	  (![B:$tType,A:$tType]:
0.39/0.61	     (top(A) => (![Xa:B]: (aa(B,A,top_top(fun(B,A)),Xa) = top_top(A)))))).
0.39/0.61	tff('31', plain,
0.39/0.61	    ![X38 : $tType, X39 : $tType, X40 : X39]:
0.39/0.61	      (aa(X39, X38, top_top(fun(X39, X38)), X40) = top_top(X38) | ~ top(X38)),
0.39/0.61	    inference('cnf', [status(esa)], [fact_26_top__apply])).
0.39/0.61	tff('32', plain,
0.39/0.61	    ![X0 : $tType, X1 : X0]:
0.39/0.61	      (~ $true | aa(X0, bool, top_top(fun(X0, bool)), X1) = top_top(bool)),
0.39/0.61	    inference('sup-', [status(thm)], ['30', '31'])).
0.39/0.61	tff('33', plain,
0.39/0.61	    ![X0 : $tType, X1 : X0]:
0.39/0.61	      aa(X0, bool, top_top(fun(X0, bool)), X1) = top_top(bool),
0.39/0.61	    inference('simplify', [status(thm)], ['32'])).
0.39/0.61	tff('34', plain, top_top(bool) = fTrue,
0.39/0.61	    inference('demod', [status(thm)], ['29', '33'])).
0.39/0.61	tff('35', plain, ![X0 : bool]: (~ pp(X0) | X0 = top_top(bool)),
0.39/0.61	    inference('demod', [status(thm)], ['24', '34'])).
0.39/0.61	tff('36', plain,
0.39/0.61	    (~ $true
0.39/0.61	     | ~ ord_less(real, y, l)
0.39/0.61	     | aa(real, bool, p, sk_Z11) = top_top(bool)),
0.39/0.61	    inference('sup-', [status(thm)], ['21', '35'])).
0.39/0.61	tff('37', plain,
0.39/0.61	    (~ $true | ~ $true | aa(real, bool, p, sk_Z11) = top_top(bool)),
0.39/0.61	    inference('demod', [status(thm)], ['36', '12'])).
0.39/0.61	tff('38', plain, aa(real, bool, p, sk_Z11) = top_top(bool),
0.39/0.61	    inference('simplify', [status(thm)], ['37'])).
0.39/0.61	tff(fact_71_top1I, axiom,
0.39/0.61	  (![A:$tType,Xa:A]: pp(aa(A,bool,top_top(fun(A,bool)),Xa)))).
0.39/0.61	tff('39', plain,
0.39/0.61	    ![X190 : $tType, X191 : X190]:
0.39/0.61	      pp(aa(X190, bool, top_top(fun(X190, bool)), X191)),
0.39/0.61	    inference('cnf', [status(esa)], [fact_71_top1I])).
0.39/0.61	tff('40', plain, pp(top_top(bool)),
0.39/0.61	    inference('demod', [status(thm)], ['39', '33'])).
0.39/0.61	tff('41', plain, (~ $true | ~ $true),
0.39/0.61	    inference('demod', [status(thm)], ['20', '38', '40'])).
0.39/0.61	tff('42', plain, $false, inference('simplify', [status(thm)], ['41'])).
0.39/0.61	
0.39/0.61	% SZS output end Refutation
0.39/0.61	EOF
