%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW342+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:09:58 AM UTC 2026
% Result : Theorem 11.67s 14.83s
% Output : Refutation 12.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 57
% Syntax : Number of formulae : 116 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 190 ( 153 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 800 ( 90 ~; 0 |; 37 &; 636 @)
% ( 7 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-10 aty)
% Number of variables : 516 ( 0 ^; 513 !; 3 ?; 516 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_P_decl,type,
v_P: $i > $i > $o ).
thf(c_Natural_Oevaln_decl,type,
c_Natural_Oevaln: $i > $i > $i > $i > $o ).
thf(c_Com_Ocom_OSKIP_decl,type,
c_Com_Ocom_OSKIP: $i ).
thf(v_n_decl,type,
v_n: $i ).
thf(c_Com_Ocom_OWhile_decl,type,
c_Com_Ocom_OWhile: $i > $i > $i ).
thf(c_Com_Ocom_OSemi_decl,type,
c_Com_Ocom_OSemi: $i > $i > $i ).
thf(c_Com_Ocom_OLocal_decl,type,
c_Com_Ocom_OLocal: $i > $i > $i > $i ).
thf(c_Com_Ocom_OCond_decl,type,
c_Com_Ocom_OCond: $i > $i > $i > $i ).
thf(c_Com_Ocom_OCall_decl,type,
c_Com_Ocom_OCall: $i > $i > $i > $i ).
thf(c_Com_Ocom_OAss_decl,type,
c_Com_Ocom_OAss: $i > $i > $i ).
thf(c_Com_Ocom_Ocom__rec_decl,type,
c_Com_Ocom_Ocom__rec: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_Com_Ocom_Ocom__case_decl,type,
c_Com_Ocom_Ocom__case: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(54,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
=> ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I1_J) ).
thf(340,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
=> ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I20_J) ).
thf(288,plain,
! [A: $i,B: $i,C: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ c_Com_Ocom_OWhile ) )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I17_J) ).
thf(280,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ c_Com_Ocom_OWhile ) )
!= c_Com_Ocom_OSKIP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I44_J) ).
thf(240,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( D @ c_Com_Ocom_OWhile ) )
= ( A @ ( B @ c_Com_Ocom_OWhile ) ) )
<=> ( ( C = A )
& ( D = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I5_J) ).
thf(194,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( C = A )
& ( D = B ) )
=> ( ( C @ ( D @ c_Com_Ocom_OWhile ) )
= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ) )
& ( ( ( C @ ( D @ c_Com_Ocom_OWhile ) )
= ( A @ ( B @ c_Com_Ocom_OWhile ) ) )
=> ( ( C = A )
& ( D = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I57_J) ).
thf(272,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I26_J) ).
thf(268,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( C @ ( D @ ( E @ ( F @ c_Natural_Oevaln ) ) ) )
=> ( ( A @ ( D @ ( C @ ( B @ c_Natural_Oevaln ) ) ) )
=> ( A @ ( D @ ( E @ ( B @ ( F @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln_OSemi) ).
thf(347,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( C @ ( D @ ( E @ ( F @ c_Natural_Oevaln ) ) ) )
=> ( ( A @ ( D @ ( C @ ( B @ c_Natural_Oevaln ) ) ) )
=> ( A @ ( D @ ( E @ ( B @ ( F @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D @ ( E @ ( F @ c_Com_Ocom_OCond ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) )
<=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I4_J) ).
thf(88,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( ( D = A )
& ( E = B )
& ( F = C ) )
=> ( ( D @ ( E @ ( F @ c_Com_Ocom_OCond ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ) )
& ( ( ( D @ ( E @ ( F @ c_Com_Ocom_OCond ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) )
=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I34_J) ).
thf(276,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( D @ c_Com_Ocom_OSemi ) )
= ( A @ ( B @ c_Com_Ocom_OSemi ) ) )
<=> ( ( C = A )
& ( D = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I3_J) ).
thf(120,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( C = A )
& ( D = B ) )
=> ( ( C @ ( D @ c_Com_Ocom_OSemi ) )
= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ) )
& ( ( ( C @ ( D @ c_Com_Ocom_OSemi ) )
= ( A @ ( B @ c_Com_Ocom_OSemi ) ) )
=> ( ( C = A )
& ( D = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I21_J) ).
thf(284,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) )
!= c_Com_Ocom_OSKIP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I45_J) ).
thf(152,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I60_J) ).
thf(228,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I33_J) ).
thf(216,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I38_J) ).
thf(164,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(50,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( B @ ( C @ ( D @ ( E @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
<=> ? [F: $i] :
( ( A @ ( B @ ( F @ ( D @ c_Natural_Oevaln ) ) ) )
& ( F @ ( B @ ( C @ ( E @ c_Natural_Oevaln ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln_Oequations_I4_J) ).
thf(321,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ? [F: $i] :
( ( A @ ( B @ ( F @ ( D @ c_Natural_Oevaln ) ) ) )
& ( F @ ( B @ ( C @ ( E @ c_Natural_Oevaln ) ) ) ) )
=> ( A @ ( B @ ( C @ ( D @ ( E @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) ) )
& ( ( A @ ( B @ ( C @ ( D @ ( E @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
=> ? [F: $i] :
( ( A @ ( B @ ( F @ ( D @ c_Natural_Oevaln ) ) ) )
& ( F @ ( B @ ( C @ ( E @ c_Natural_Oevaln ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( D @ c_Com_Ocom_OAss ) )
= ( A @ ( B @ c_Com_Ocom_OAss ) ) )
<=> ( ( C = A )
& ( D = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I1_J) ).
thf(106,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( C = A )
& ( D = B ) )
=> ( ( C @ ( D @ c_Com_Ocom_OAss ) )
= ( A @ ( B @ c_Com_Ocom_OAss ) ) ) )
& ( ( ( C @ ( D @ c_Com_Ocom_OAss ) )
= ( A @ ( B @ c_Com_Ocom_OAss ) ) )
=> ( ( C = A )
& ( D = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I61_J) ).
thf(84,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ c_Com_Ocom_OAss ) )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I9_J) ).
thf(292,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ c_Com_Ocom_OAss ) )
!= c_Com_Ocom_OSKIP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I35_J) ).
thf(248,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I27_J) ).
thf(220,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I28_J) ).
thf(160,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I29_J) ).
thf(260,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(57,axiom,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln_Oequations_I1_J) ).
thf(349,plain,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I42_J) ).
thf(252,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I23_J) ).
thf(224,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I10_J) ).
thf(317,plain,
! [A: $i,B: $i,C: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I32_J) ).
thf(156,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I46_J) ).
thf(212,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(51,axiom,
! [A: $i,B: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I12_J) ).
thf(328,plain,
! [A: $i,B: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I37_J) ).
thf(256,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D @ ( E @ ( F @ c_Com_Ocom_OLocal ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) )
<=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I2_J) ).
thf(134,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( ( D = A )
& ( E = B )
& ( F = C ) )
=> ( ( D @ ( E @ ( F @ c_Com_Ocom_OLocal ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ) )
& ( ( ( D @ ( E @ ( F @ c_Com_Ocom_OLocal ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) )
=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I15_J) ).
thf(343,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) )
!= c_Com_Ocom_OSKIP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I53_J) ).
thf(244,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I50_J) ).
thf(264,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I47_J) ).
thf(64,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I8_J) ).
thf(296,plain,
! [A: $i,B: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D @ ( E @ ( F @ c_Com_Ocom_OCall ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) )
<=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I7_J) ).
thf(176,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( ( D = A )
& ( E = B )
& ( F = C ) )
=> ( ( D @ ( E @ ( F @ c_Com_Ocom_OCall ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ) )
& ( ( ( D @ ( E @ ( F @ c_Com_Ocom_OCall ) ) )
= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) )
=> ( ( D = A )
& ( E = B )
& ( F = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( B @ ( A @ v_P ) )
=> ! [C: $i] :
( ( C @ ( v_n @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
=> ( C @ ( A @ v_P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( B @ ( A @ v_P ) )
=> ! [C: $i] :
( ( C @ ( v_n @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
=> ( C @ ( A @ v_P ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(59,plain,
~ ! [A: $i,B: $i] :
( ( B @ ( A @ v_P ) )
=> ! [C: $i] :
( ( C @ ( v_n @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
=> ( C @ ( A @ v_P ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( B @ ( C @ ( D @ ( E @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
=> ~ ! [F: $i] :
( ( F @ ( B @ ( C @ ( E @ c_Natural_Oevaln ) ) ) )
=> ~ ( A @ ( B @ ( F @ ( D @ c_Natural_Oevaln ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I4_J) ).
thf(313,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A @ ( B @ ( C @ ( D @ ( E @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
=> ~ ! [F: $i] :
( ( F @ ( B @ ( C @ ( E @ c_Natural_Oevaln ) ) ) )
=> ~ ( A @ ( B @ ( F @ ( D @ c_Natural_Oevaln ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I43_J) ).
thf(236,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I25_J) ).
thf(172,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OSemi ) )
!= ( A @ ( B @ c_Com_Ocom_OAss ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I36_J) ).
thf(76,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OLocal ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I51_J) ).
thf(208,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCall ) ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( c_Com_Ocom_OSKIP @ ( A @ ( B @ ( C @ ( D @ ( E @ ( F @ ( G @ ( H @ ( I @ c_Com_Ocom_Ocom__rec ) ) ) ) ) ) ) ) ) )
= H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Orecs_I1_J) ).
thf(306,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( c_Com_Ocom_OSKIP @ ( A @ ( B @ ( C @ ( D @ ( E @ ( F @ ( G @ ( H @ ( I @ c_Com_Ocom_Ocom__rec ) ) ) ) ) ) ) ) ) )
= H ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I52_J) ).
thf(80,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C @ ( D @ ( E @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I16_J) ).
thf(336,plain,
! [A: $i,B: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ c_Com_Ocom_OWhile ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I56_J) ).
thf(72,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( D @ ( E @ ( F @ c_Com_Ocom_OCond ) ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCall ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(45,axiom,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln_OSkip) ).
thf(304,plain,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(58,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( c_Com_Ocom_OSKIP @ ( A @ ( B @ ( C @ ( D @ ( E @ ( F @ ( G @ ( H @ ( I @ c_Com_Ocom_Ocom__case ) ) ) ) ) ) ) ) ) )
= H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I64_J) ).
thf(351,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( c_Com_Ocom_OSKIP @ ( A @ ( B @ ( C @ ( D @ ( E @ ( F @ ( G @ ( H @ ( I @ c_Com_Ocom_Ocom__case ) ) ) ) ) ) ) ) ) )
= H ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ c_Com_Ocom_OSemi ) )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I13_J) ).
thf(300,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ c_Com_Ocom_OSemi ) )
!= c_Com_Ocom_OSKIP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I24_J) ).
thf(168,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ c_Com_Ocom_OSemi ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(52,axiom,
! [A: $i,B: $i,C: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I14_J) ).
thf(332,plain,
! [A: $i,B: $i,C: $i] :
( c_Com_Ocom_OSKIP
!= ( A @ ( B @ ( C @ c_Com_Ocom_OCond ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I39_J) ).
thf(68,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OWhile ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I11_J) ).
thf(309,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) )
!= c_Com_Ocom_OSKIP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I22_J) ).
thf(232,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D @ ( E @ c_Com_Ocom_OAss ) )
!= ( A @ ( B @ ( C @ c_Com_Ocom_OLocal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(358,plain,
$false,
inference(e,[status(thm)],[340,288,280,240,194,272,268,347,88,276,120,284,152,228,216,164,321,106,84,292,248,220,160,260,349,252,224,317,156,212,328,256,134,343,244,264,64,296,176,59,313,236,172,76,208,306,80,336,72,304,351,300,168,332,68,309,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW342+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/10.64 % Computer : n008.cluster.edu
% 0.15/10.64 % Model : x86_64 x86_64
% 0.15/10.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.64 % Memory : 8046.5625MB
% 0.15/10.64 % OS : Linux 6.8.0-71-generic
% 0.15/10.64 % CPULimit : 300
% 0.15/10.64 % WCLimit : 300
% 0.15/10.64 % DateTime : Sat Sep 26 15:43:08 UTC 2026
% 0.15/10.64 % CPUTime :
% 0.15/10.64 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.96/11.22 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 3.91/12.25 % [INFO] Parsing done (1029ms).
% 3.91/12.27 % [INFO] Running in sequential loop mode.
% 4.77/12.68 % [INFO] eprover registered as external prover.
% 4.77/12.68 % [INFO] Scanning for conjecture ...
% 7.27/13.37 % [INFO] Found a conjecture (or negated_conjecture) and 5205 axioms. Running axiom selection ...
% 7.89/13.52 % [INFO] Axiom selection finished. Selected 56 axioms (removed 5149 axioms).
% 8.23/13.61 % [INFO] Problem is first-order (TPTP FOF).
% 8.23/13.63 % [INFO] Type checking passed.
% 8.23/13.63 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 11.67/14.82 % External prover 'e' found a proof!
% 11.67/14.82 % [INFO] Killing All external provers ...
% 11.67/14.83 % Time passed: 4043ms (effective reasoning time: 2550ms)
% 11.67/14.83 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 11.67/14.83 % Axioms used in derivation (56): fact_com_Osimps_I17_J, fact_com_Osimps_I32_J, fact_com_Osimps_I21_J, fact_com_Osimps_I26_J, fact_com_Osimps_I42_J, fact_com_Osimps_I16_J, fact_com_Osimps_I1_J, fact_com_Osimps_I15_J, fact_com_Osimps_I4_J, fact_com_Osimps_I56_J, fact_com_Osimps_I8_J, fact_com_Osimps_I50_J, fact_com_Osimps_I22_J, fact_com_Osimps_I37_J, fact_com_Osimps_I10_J, fact_com_Osimps_I24_J, fact_com_Osimps_I46_J, fact_com_Osimps_I2_J, fact_com_Osimps_I60_J, fact_com_Osimps_I27_J, fact_com_Orecs_I1_J, fact_com_Osimps_I14_J, fact_com_Osimps_I53_J, fact_com_Osimps_I3_J, fact_com_Osimps_I20_J, fact_com_Osimps_I5_J, fact_com_Osimps_I23_J, fact_com_Osimps_I13_J, fact_com_Osimps_I57_J, fact_com_Osimps_I47_J, fact_com_Osimps_I35_J, fact_evaln_OSkip, fact_evaln_OSemi, fact_com_Osimps_I12_J, fact_com_Osimps_I7_J, fact_com_Osimps_I45_J, fact_com_Osimps_I28_J, fact_com_Osimps_I33_J, fact_com_Osimps_I64_J, fact_com_Osimps_I34_J, fact_com_Osimps_I38_J, fact_com_Osimps_I36_J, fact_com_Osimps_I11_J, fact_evaln__elim__cases_I4_J, fact_com_Osimps_I9_J, fact_com_Osimps_I44_J, fact_com_Osimps_I29_J, fact_com_Osimps_I39_J, fact_com_Osimps_I25_J, fact_evaln_Oequations_I4_J, fact_com_Osimps_I61_J, fact_com_Osimps_I43_J, fact_com_Osimps_I52_J, fact_com_Osimps_I51_J, fact_evaln__elim__cases_I1_J, fact_evaln_Oequations_I1_J
% 11.67/14.83 % No. of inferences in proof: 116
% 11.67/14.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4043 ms resp. 2550 ms w/o parsing
% 12.10/14.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.10/14.97 % [INFO] Killing All external provers ...
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