%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWX207-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n020.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 09:15:17 AM UTC 2026
% Result : Unsatisfiable 8.06s 4.12s
% Output : Refutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 49
% Syntax : Number of formulae : 99 ( 91 unt; 0 typ; 0 def)
% Number of atoms : 107 ( 106 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 406 ( 10 ~; 8 |; 0 &; 388 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 118 ( 0 ^; 118 !; 0 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
thf(eq5_decl,type,
eq5: $i > $i > $i ).
thf(unambig_decl,type,
unambig: $i > $i > $i ).
thf(bfalse_decl,type,
bfalse: $i ).
thf(btrue_decl,type,
btrue: $i ).
thf(linP_decl,type,
linP: $i > $i ).
thf(pB_decl,type,
pB: $i ).
thf(cons_decl,type,
cons: $i > $i > $i ).
thf(b_decl,type,
b: $i ).
thf(nil_decl,type,
nil: $i ).
thf(eq3_decl,type,
eq3: $i > $i > $i ).
thf(aP_decl,type,
aP: $i > $i ).
thf(append_decl,type,
append: $i > $i > $i ).
thf(linC_decl,type,
linC: $i > $i ).
thf(c2_decl,type,
c2: $i > $i > $i ).
thf(pA_decl,type,
pA: $i ).
thf(a_decl,type,
a: $i ).
thf(bP_decl,type,
bP: $i > $i ).
thf(pE_decl,type,
pE: $i ).
thf(eq_decl,type,
eq: $i > $i > $i ).
thf(eq2_decl,type,
eq2: $i > $i > $i ).
thf(eq4_decl,type,
eq4: $i > $i > $i ).
thf(impl_decl,type,
impl: $i > $i > $i ).
thf(34,axiom,
! [A: $i] :
( ( pA @ ( A @ aP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_024) ).
thf(120,plain,
! [A: $i] :
( ( pA @ ( A @ aP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ ( nil @ append ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
thf(57,plain,
! [A: $i] :
( ( A @ ( nil @ append ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,axiom,
! [A: $i] :
( ( pB @ ( A @ aP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_025) ).
thf(84,plain,
! [A: $i] :
( ( pB @ ( A @ aP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(26,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ c2 ) @ ( C @ ( A @ c2 ) @ eq4 ) )
= bfalse )
| ( ( B @ ( A @ eq3 ) )
!= bfalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_037) ).
thf(102,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ c2 ) @ ( C @ ( A @ c2 ) @ eq4 ) )
= bfalse )
| ( ( B @ ( A @ eq3 ) )
!= bfalse ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ ( btrue @ impl ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
thf(137,plain,
! [A: $i] :
( ( A @ ( btrue @ impl ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ ( A @ eq5 ) )
= btrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).
thf(149,plain,
! [A: $i] :
( ( A @ ( A @ eq5 ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ ( A @ eq3 ) )
= btrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_041) ).
thf(130,plain,
! [A: $i] :
( ( A @ ( A @ eq3 ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(46,axiom,
( ( pB @ ( pA @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
thf(145,plain,
( ( pB @ ( pA @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ bP @ linP )
= ( nil @ ( b @ cons ) @ ( A @ linP @ append ) @ ( nil @ ( b @ cons ) @ append ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
thf(63,plain,
! [A: $i] :
( ( A @ bP @ linP )
= ( nil @ ( b @ cons ) @ ( A @ linP @ append ) @ ( nil @ ( b @ cons ) @ append ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(45,axiom,
! [B: $i,A: $i] :
( ( B @ bP @ ( A @ aP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_023) ).
thf(143,plain,
! [B: $i,A: $i] :
( ( B @ bP @ ( A @ aP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ aP @ ( pE @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_035) ).
thf(75,plain,
! [A: $i] :
( ( A @ aP @ ( pE @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(49,axiom,
! [A: $i] :
( ( pB @ ( A @ bP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_029) ).
thf(151,plain,
! [A: $i] :
( ( pB @ ( A @ bP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(10,axiom,
( ( pE @ linP )
= nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
thf(69,plain,
( ( pE @ linP )
= nil ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ ( bfalse @ impl ) )
= btrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
thf(88,plain,
! [A: $i] :
( ( A @ ( bfalse @ impl ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(47,axiom,
! [A: $i] :
( ( pA @ ( A @ bP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_028) ).
thf(147,plain,
! [A: $i] :
( ( pA @ ( A @ bP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(6,axiom,
( ( pA @ linP )
= ( nil @ ( a @ cons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
thf(61,plain,
( ( pA @ linP )
= ( nil @ ( a @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(40,axiom,
( ( pA @ ( pE @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
thf(132,plain,
( ( pA @ ( pE @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(32,axiom,
! [A: $i] :
( ( pE @ ( A @ aP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_026) ).
thf(116,plain,
! [A: $i] :
( ( pE @ ( A @ aP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ ( A @ eq4 ) )
= btrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_042) ).
thf(92,plain,
! [A: $i] :
( ( A @ ( A @ eq4 ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ cons ) @ append ) )
= ( C @ ( B @ append ) @ ( A @ cons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
thf(65,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ cons ) @ append ) )
= ( C @ ( B @ append ) @ ( A @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(2,axiom,
( ( pB @ linP )
= ( nil @ ( b @ cons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
thf(53,plain,
( ( pB @ linP )
= ( nil @ ( b @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ( nil @ ( B @ ( A @ cons ) @ eq ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_047) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( nil @ ( B @ ( A @ cons ) @ eq ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ aP @ ( pA @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_031) ).
thf(109,plain,
! [A: $i] :
( ( A @ aP @ ( pA @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ bP @ ( pA @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_032) ).
thf(124,plain,
! [A: $i] :
( ( A @ bP @ ( pA @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(14,axiom,
( ( btrue @ ( bfalse @ eq5 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
thf(77,plain,
( ( btrue @ ( bfalse @ eq5 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(23,axiom,
( ( pE @ ( pA @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
thf(96,plain,
( ( pE @ ( pA @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(41,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ cons ) @ ( C @ ( A @ cons ) @ eq ) )
= bfalse )
| ( ( B @ ( A @ eq2 ) )
!= bfalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_044) ).
thf(134,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ cons ) @ ( C @ ( A @ cons ) @ eq ) )
= bfalse )
| ( ( B @ ( A @ eq2 ) )
!= bfalse ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( nil @ eq ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_046) ).
thf(73,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( nil @ eq ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(38,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ unambig ) )
= ( B @ ( A @ eq4 ) @ ( B @ linC @ ( A @ linC @ eq ) @ impl ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
thf(128,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ unambig ) )
= ( B @ ( A @ eq4 ) @ ( B @ linC @ ( A @ linC @ eq ) @ impl ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ bP @ ( pE @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_036) ).
thf(105,plain,
! [A: $i] :
( ( A @ bP @ ( pE @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c2 ) @ linC )
= ( B @ linP @ ( A @ linP @ append ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
thf(59,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c2 ) @ linC )
= ( B @ linP @ ( A @ linP @ append ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ ( A @ eq ) )
= btrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_039) ).
thf(118,plain,
! [A: $i] :
( ( A @ ( A @ eq ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ aP @ linP )
= ( nil @ ( a @ cons ) @ ( A @ linP @ append ) @ ( nil @ ( a @ cons ) @ append ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
thf(71,plain,
! [A: $i] :
( ( A @ aP @ linP )
= ( nil @ ( a @ cons ) @ ( A @ linP @ append ) @ ( nil @ ( a @ cons ) @ append ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,axiom,
( ( b @ ( a @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
thf(86,plain,
( ( b @ ( a @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(31,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ cons ) @ ( C @ ( A @ cons ) @ eq ) )
= ( D @ ( C @ eq ) ) )
| ( ( B @ ( A @ eq2 ) )
!= btrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_045) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ cons ) @ ( C @ ( A @ cons ) @ eq ) )
= ( D @ ( C @ eq ) ) )
| ( ( B @ ( A @ eq2 ) )
!= btrue ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(16,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ c2 ) @ ( C @ ( A @ c2 ) @ eq4 ) )
= ( D @ ( C @ eq3 ) ) )
| ( ( B @ ( A @ eq3 ) )
!= btrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_038) ).
thf(81,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ c2 ) @ ( C @ ( A @ c2 ) @ eq4 ) )
= ( D @ ( C @ eq3 ) ) )
| ( ( B @ ( A @ eq3 ) )
!= btrue ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ aP @ ( pB @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_033) ).
thf(98,plain,
! [A: $i] :
( ( A @ aP @ ( pB @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ( bfalse @ ( B @ ( A @ unambig ) @ eq5 ) )
!= btrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( bfalse @ ( B @ ( A @ unambig ) @ eq5 ) )
!= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( B @ bP @ ( A @ bP @ eq3 ) )
= ( B @ ( A @ eq3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_022) ).
thf(67,plain,
! [B: $i,A: $i] :
( ( B @ bP @ ( A @ bP @ eq3 ) )
= ( B @ ( A @ eq3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ aP @ ( A @ aP @ eq3 ) )
= ( B @ ( A @ eq3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_021) ).
thf(55,plain,
! [B: $i,A: $i] :
( ( B @ aP @ ( A @ aP @ eq3 ) )
= ( B @ ( A @ eq3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(43,axiom,
! [B: $i,A: $i] :
( ( B @ aP @ ( A @ bP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_027) ).
thf(139,plain,
! [B: $i,A: $i] :
( ( B @ aP @ ( A @ bP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(28,axiom,
! [A: $i] :
( ( pE @ ( A @ bP @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_030) ).
thf(107,plain,
! [A: $i] :
( ( pE @ ( A @ bP @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ ( A @ eq2 ) )
= btrue ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_040) ).
thf(126,plain,
! [A: $i] :
( ( A @ ( A @ eq2 ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(15,axiom,
( ( a @ ( b @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
thf(79,plain,
( ( a @ ( b @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(22,axiom,
( ( bfalse @ ( btrue @ eq5 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
thf(94,plain,
( ( bfalse @ ( btrue @ eq5 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(35,axiom,
( ( pA @ ( pB @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
thf(122,plain,
( ( pA @ ( pB @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ bP @ ( pB @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_034) ).
thf(100,plain,
! [A: $i] :
( ( A @ bP @ ( pB @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,axiom,
( ( pE @ ( pB @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
thf(90,plain,
( ( pE @ ( pB @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(30,axiom,
( ( pB @ ( pE @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).
thf(111,plain,
( ( pB @ ( pE @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(241,plain,
$false,
inference(e,[status(thm)],[120,57,84,102,137,149,130,145,63,143,75,151,69,88,147,61,132,116,92,65,53,141,109,124,77,96,134,73,128,105,59,118,71,86,113,81,98,50,67,55,139,107,126,79,94,122,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX207-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.19/0.45 % Computer : n020.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 16:56:48 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.29/1.29 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.80/1.59 % [INFO] Parsing done (293ms).
% 2.07/1.61 % [INFO] Running in sequential loop mode.
% 3.13/2.22 % [INFO] eprover registered as external prover.
% 3.13/2.23 % [INFO] Scanning for conjecture ...
% 3.33/2.38 % [INFO] Found a conjecture (or negated_conjecture) and 48 axioms. Running axiom selection ...
% 3.50/2.50 % [INFO] Axiom selection finished. Selected 48 axioms (removed 0 axioms).
% 3.69/2.57 % [INFO] Problem is propositional (TPTP CNF).
% 3.69/2.57 % [INFO] Type checking passed.
% 3.69/2.58 % [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 ...
% 8.06/4.12 % External prover 'e' found a proof!
% 8.06/4.12 % [INFO] Killing All external provers ...
% 8.06/4.12 % Time passed: 3454ms (effective reasoning time: 2501ms)
% 8.06/4.12 % Axioms used in derivation (48): axiom_035, axiom_010, axiom_002, axiom_028, axiom_023, axiom_034, axiom_012, axiom_001, axiom_044, axiom_030, axiom_041, axiom_029, axiom_036, axiom_025, axiom_014, axiom_018, axiom_039, axiom_024, axiom_009, axiom_040, axiom_046, axiom_017, axiom_021, axiom_032, axiom_013, axiom_043, axiom_006, axiom_016, axiom_027, axiom_005, axiom_045, axiom_038, axiom_031, axiom_015, axiom_004, axiom_033, axiom_022, axiom, axiom_011, axiom_026, axiom_037, axiom_020, axiom_019, axiom_008, axiom_003, axiom_042, axiom_047, axiom_007
% 8.06/4.12 % No. of inferences in proof: 99
% 8.06/4.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3454 ms resp. 2501 ms w/o parsing
% 8.54/4.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.54/4.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------