%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN576-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n013.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 09:17:53 AM UTC 2026
% Result : Unsatisfiable 37.04s 9.12s
% Output : Refutation 31.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 22
% Syntax : Number of formulae : 131 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 366 ( 44 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1900 ( 188 ~; 159 |; 0 &;1553 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 296 ( 0 ^; 296 !; 0 ?; 296 :)
% Comments :
%------------------------------------------------------------------------------
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(p5_decl,type,
p5: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(c15_decl,type,
c15: $i ).
thf(f6_decl,type,
f6: $i > $i ).
thf(c13_decl,type,
c13: $i ).
thf(c16_decl,type,
c16: $i ).
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(f3_decl,type,
f3: $i > $i > $i ).
thf(f10_decl,type,
f10: $i > $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(f9_decl,type,
f9: $i > $i > $i > $i ).
thf(c14_decl,type,
c14: $i ).
thf(8,negated_conjecture,
! [B: $i,A: $i] : ( A @ ( B @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
thf(41,plain,
! [B: $i,A: $i] : ( A @ ( B @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f10 @ ( A @ f10 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
thf(24,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f10 @ ( A @ f10 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f10 @ ( A @ f10 @ p2 ) ) ),
inference(cnf,[status(esa)],[24]) ).
thf(71,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[41,50]) ).
thf(72,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[71]) ).
thf(73,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ ( A @ ( B @ f3 ) @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[72:[bind(A,$thf( H )),bind(B,$thf( G )),bind(C,$thf( G @ ( H @ f3 ) )),bind(D,$thf( H @ ( G @ f3 ) ))]]) ).
thf(80,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ ( A @ ( B @ f3 ) @ f10 @ p2 ) ),
inference(simp,[status(thm)],[73]) ).
thf(142,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ ( A @ ( B @ f3 ) @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[80,50]) ).
thf(143,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ ( A @ ( B @ f3 ) @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[142]) ).
thf(144,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[143:[bind(A,$thf( I )),bind(B,$thf( J )),bind(C,$thf( I @ ( J @ f3 ) @ f10 )),bind(D,$thf( J @ ( I @ f3 ) @ f10 ))]]) ).
thf(146,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[144]) ).
thf(221,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[146,50]) ).
thf(222,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[221]) ).
thf(223,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[222:[bind(A,$thf( K )),bind(B,$thf( L )),bind(C,$thf( K @ ( L @ f3 ) @ f10 @ f10 )),bind(D,$thf( L @ ( K @ f3 ) @ f10 @ f10 ))]]) ).
thf(227,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[223]) ).
thf(233,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[227,50]) ).
thf(234,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[233]) ).
thf(235,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[234:[bind(A,$thf( M )),bind(B,$thf( N )),bind(C,$thf( M @ ( N @ f3 ) @ f10 @ f10 @ f10 )),bind(D,$thf( N @ ( M @ f3 ) @ f10 @ f10 @ f10 ))]]) ).
thf(238,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[235]) ).
thf(245,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[238,50]) ).
thf(246,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[245]) ).
thf(247,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[246:[bind(A,$thf( O )),bind(B,$thf( P )),bind(C,$thf( O @ ( P @ f3 ) @ f10 @ f10 @ f10 @ f10 )),bind(D,$thf( P @ ( O @ f3 ) @ f10 @ f10 @ f10 @ f10 ))]]) ).
thf(250,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[247]) ).
thf(257,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[250,50]) ).
thf(258,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[257]) ).
thf(259,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[258:[bind(A,$thf( Q )),bind(B,$thf( R )),bind(C,$thf( Q @ ( R @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 )),bind(D,$thf( R @ ( Q @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 ))]]) ).
thf(261,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[259]) ).
thf(77,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f10 @ ( A @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[50,50]) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f10 @ ( A @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(79,plain,
! [B: $i,A: $i] :
( ( B @ f10 @ f10 @ ( A @ f10 @ f10 @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[78:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E @ f10 )),bind(D,$thf( F @ f10 ))]]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ( B @ f10 @ f10 @ ( A @ f10 @ f10 @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[79]) ).
thf(364,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ f10 @ ( C @ f10 @ f10 @ p2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[261,81]) ).
thf(365,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ f10 @ ( C @ f10 @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[364]) ).
thf(366,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[365:[bind(A,$thf( S )),bind(B,$thf( T )),bind(C,$thf( S @ ( T @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 )),bind(D,$thf( T @ ( S @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 ))]]) ).
thf(385,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[366]) ).
thf(17,negated_conjecture,
~ ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_17) ).
thf(33,plain,
~ ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(52,plain,
~ ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(5,negated_conjecture,
c13 @ f6 @ ( c15 @ p12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_5) ).
thf(23,plain,
c13 @ f6 @ ( c15 @ p12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p12 ) )
| ~ ( B @ ( D @ p5 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
thf(39,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p12 ) )
| ~ ( B @ ( D @ p5 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p12 ) )
| ~ ( B @ ( D @ p5 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p12 ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p12 ) )
!= ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) ) )
| ~ $true
| ~ ( D @ ( C @ p12 ) )
| ~ ( B @ ( D @ p5 ) )
| ~ ( A @ ( C @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[46,52]) ).
thf(84,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p12 ) )
!= ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) ) )
| ~ ( D @ ( C @ p12 ) )
| ~ ( B @ ( D @ p5 ) )
| ~ ( A @ ( C @ p2 ) ) ),
inference(simp,[status(thm)],[83]) ).
thf(85,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p12 ) )
| ~ ( c13 @ f6 @ ( B @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[84:[bind(A,$thf( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) )),bind(B,$thf( c13 @ f6 )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(108,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p12 ) )
| ~ ( c13 @ f6 @ ( B @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[85]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( ( c13 @ f6 @ ( c15 @ p12 ) )
!= ( B @ ( A @ p12 ) ) )
| ~ $true
| ~ ( c13 @ f6 @ ( B @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[23,108]) ).
thf(124,plain,
! [B: $i,A: $i] :
( ( ( c13 @ f6 @ ( c15 @ p12 ) )
!= ( B @ ( A @ p12 ) ) )
| ~ ( c13 @ f6 @ ( B @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(125,plain,
( ~ ( c13 @ f6 @ ( c13 @ f6 @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c15 @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[124:[bind(A,$thf( c15 )),bind(B,$thf( c13 @ f6 ))]]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_4) ).
thf(43,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(264,plain,
( ~ $true
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c15 @ p2 ) ) ),
inference(rewrite,[status(thm)],[125,43]) ).
thf(265,plain,
~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c15 @ p2 ) ),
inference(simp,[status(thm)],[264]) ).
thf(6,negated_conjecture,
c13 @ f6 @ ( c16 @ p12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_6) ).
thf(28,plain,
c13 @ f6 @ ( c16 @ p12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(126,plain,
! [B: $i,A: $i] :
( ( ( c13 @ f6 @ ( c16 @ p12 ) )
!= ( B @ ( A @ p12 ) ) )
| ~ $true
| ~ ( c13 @ f6 @ ( B @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[28,108]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( ( c13 @ f6 @ ( c16 @ p12 ) )
!= ( B @ ( A @ p12 ) ) )
| ~ ( c13 @ f6 @ ( B @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[126]) ).
thf(128,plain,
( ~ ( c13 @ f6 @ ( c13 @ f6 @ p5 ) )
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c16 @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[127:[bind(A,$thf( c16 )),bind(B,$thf( c13 @ f6 ))]]) ).
thf(291,plain,
( ~ $true
| ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c16 @ p2 ) ) ),
inference(rewrite,[status(thm)],[128,43]) ).
thf(292,plain,
~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c16 @ p2 ) ),
inference(simp,[status(thm)],[291]) ).
thf(12,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(cnf,[status(esa)],[35]) ).
thf(478,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p2 ) )
!= ( A @ ( C @ p2 ) ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(eqfactor_ordered,[status(thm)],[47]) ).
thf(479,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ( A @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[478:[bind(A,$thf( B ))]]) ).
thf(493,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ( A @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[479]) ).
thf(13,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_13) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ ( B @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(cnf,[status(esa)],[36]) ).
thf(327,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ~ $true
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[261,50]) ).
thf(328,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ ( C @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[327]) ).
thf(329,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[328:[bind(A,$thf( S )),bind(B,$thf( T )),bind(C,$thf( S @ ( T @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 )),bind(D,$thf( T @ ( S @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 ))]]) ).
thf(334,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[329]) ).
thf(508,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ f10 @ ( C @ f10 @ f10 @ p2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[334,81]) ).
thf(509,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( D @ f10 @ f10 @ ( C @ f10 @ f10 @ p2 ) ) ),
inference(simp,[status(thm)],[508]) ).
thf(510,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(pattern_uni,[status(thm)],[509:[bind(A,$thf( U )),bind(B,$thf( V )),bind(C,$thf( U @ ( V @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 )),bind(D,$thf( V @ ( U @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 ))]]) ).
thf(532,plain,
! [B: $i,A: $i] : ( B @ ( A @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ ( A @ ( B @ f3 ) @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ f10 @ p2 ) ),
inference(simp,[status(thm)],[510]) ).
thf(19,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
thf(42,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
thf(37,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_14) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f10 @ ( B @ f10 @ p11 ) )
| ~ ( A @ f6 @ ( B @ p12 ) )
| ~ ( A @ f6 @ ( C @ p12 ) )
| ( A @ f6 @ ( C @ ( C @ ( B @ f3 ) @ ( c14 @ ( A @ f9 ) ) @ f7 ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_21) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f10 @ ( B @ f10 @ p11 ) )
| ~ ( A @ f6 @ ( B @ p12 ) )
| ~ ( A @ f6 @ ( C @ p12 ) )
| ( A @ f6 @ ( C @ ( C @ ( B @ f3 ) @ ( c14 @ ( A @ f9 ) ) @ f7 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ p11 ) )
!= ( B @ ( A @ p11 ) ) )
| ( B @ ( A @ p11 ) ) ),
inference(eqfactor_ordered,[status(thm)],[58]) ).
thf(69,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(pattern_uni,[status(thm)],[68:[bind(A,$thf( B ))]]) ).
thf(70,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(simp,[status(thm)],[69]) ).
thf(18,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(45,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f10 @ ( B @ f10 @ p11 ) )
| ~ ( A @ f6 @ ( B @ p12 ) )
| ~ ( A @ f6 @ ( C @ p12 ) )
| ( A @ f6 @ ( C @ ( C @ ( B @ f3 ) @ ( c14 @ ( A @ f9 ) ) @ f7 ) @ p12 ) ) ),
inference(cnf,[status(esa)],[29]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
thf(32,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f10 @ ( B @ f10 @ p11 ) )
| ~ ( A @ f6 @ ( B @ p12 ) )
| ~ ( A @ f6 @ ( C @ p12 ) )
| ( A @ f6 @ ( C @ ( B @ f3 ) @ ( C @ ( B @ f3 ) @ ( c14 @ ( A @ f9 ) ) @ f7 ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_22) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f10 @ ( B @ f10 @ p11 ) )
| ~ ( A @ f6 @ ( B @ p12 ) )
| ~ ( A @ f6 @ ( C @ p12 ) )
| ( A @ f6 @ ( C @ ( B @ f3 ) @ ( C @ ( B @ f3 ) @ ( c14 @ ( A @ f9 ) ) @ f7 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(15,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p11 ) )
| ~ ( B @ ( D @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
thf(44,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p11 ) )
| ~ ( B @ ( D @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f6 @ ( A @ f6 @ p5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_9) ).
thf(30,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f6 @ ( A @ f6 @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(59,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f6 @ ( A @ f6 @ p5 ) ) ),
inference(cnf,[status(esa)],[30]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_1) ).
thf(27,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(60,plain,
( ( ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) )
!= ( c13 @ f6 @ ( c16 @ p12 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,52]) ).
thf(61,plain,
( ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) )
!= ( c13 @ f6 @ ( c16 @ p12 ) ) ),
inference(simp,[status(thm)],[60]) ).
thf(64,plain,
( ( ( c13 @ f6 )
!= ( c13 @ f6 ) )
| ( ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) )
!= c16 ) ),
inference(simp,[status(thm)],[61]) ).
thf(66,plain,
( ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) )
!= c16 ),
inference(simp,[status(thm)],[64]) ).
thf(62,plain,
( ( ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) )
!= ( c13 @ f6 @ ( c15 @ p12 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,52]) ).
thf(63,plain,
( ( c13 @ f6 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p12 ) )
!= ( c13 @ f6 @ ( c15 @ p12 ) ) ),
inference(simp,[status(thm)],[62]) ).
thf(65,plain,
( ( ( c13 @ f6 )
!= ( c13 @ f6 ) )
| ( ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) )
!= c15 ) ),
inference(simp,[status(thm)],[63]) ).
thf(67,plain,
( ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) )
!= c15 ),
inference(simp,[status(thm)],[65]) ).
thf(400,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p2 ) )
!= ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c15 @ p2 ) ) )
| ~ $true
| ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[47,265]) ).
thf(401,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p2 ) )
!= ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( c15 @ p2 ) ) )
| ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) ) ),
inference(simp,[status(thm)],[400]) ).
thf(402,plain,
! [A: $i] :
( ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) )
| ~ ( c15 @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[401:[bind(A,$thf( c15 )),bind(B,$thf( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) )),bind(C,$thf( C ))]]) ).
thf(486,plain,
! [A: $i] :
( ~ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( A @ p2 ) )
| ~ ( c15 @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[402]) ).
thf(611,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( B @ p2 ) ) )
| ~ $true
| ~ ( c15 @ ( B @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[32,486]) ).
thf(612,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ ( B @ p2 ) ) )
| ~ ( c15 @ ( B @ p2 ) ) ),
inference(simp,[status(thm)],[611]) ).
thf(613,plain,
~ ( c15 @ ( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) @ p2 ) ),
inference(pattern_uni,[status(thm)],[612:[bind(A,$thf( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) )),bind(B,$thf( c16 @ ( c15 @ f3 ) @ ( c16 @ ( c15 @ f3 ) @ ( c14 @ ( c13 @ f9 ) ) @ f7 ) ))]]) ).
thf(463,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( C @ ( D @ p2 ) ) )
| ~ $true
| ~ ( B @ ( D @ p2 ) )
| ( C @ ( B @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[32,47]) ).
thf(464,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( C @ ( D @ p2 ) ) )
| ~ ( B @ ( D @ p2 ) )
| ( C @ ( B @ p2 ) ) ),
inference(simp,[status(thm)],[463]) ).
thf(465,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( A @ ( B @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[464:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(11,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_11) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ p2 ) )
| ~ ( E @ ( B @ p8 ) )
| ~ ( D @ ( A @ p4 ) )
| ( F @ ( E @ ( D @ f9 ) ) @ ( C @ ( B @ ( A @ f9 ) ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
thf(26,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ p2 ) )
| ~ ( E @ ( B @ p8 ) )
| ~ ( D @ ( A @ p4 ) )
| ( F @ ( E @ ( D @ f9 ) ) @ ( C @ ( B @ ( A @ f9 ) ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(3974,plain,
$false,
inference(e,[status(thm)],[385,52,238,265,292,493,41,48,58,532,47,42,24,37,25,46,261,29,334,70,33,28,38,45,32,34,44,59,27,81,39,66,108,80,35,50,67,31,613,43,250,465,40,26,23,36,146,30,227,486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN576-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % 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
% 0.13/0.37 % Computer : n013.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat Sep 26 18:13:51 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 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
% 1.34/1.20 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.70/1.47 % [INFO] Parsing done (268ms).
% 1.70/1.49 % [INFO] Running in sequential loop mode.
% 2.82/2.11 % [INFO] eprover registered as external prover.
% 2.82/2.13 % [INFO] Scanning for conjecture ...
% 3.29/2.33 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.47/2.44 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.47/2.45 % [INFO] Problem is propositional (TPTP CNF).
% 3.47/2.45 % [INFO] Type checking passed.
% 3.47/2.46 % [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 ...
% 37.04/9.11 % External prover 'e' found a proof!
% 37.04/9.12 % [INFO] Killing All external provers ...
% 37.04/9.12 % Time passed: 8523ms (effective reasoning time: 7614ms)
% 37.04/9.12 % Axioms used in derivation (0):
% 37.04/9.12 % No. of inferences in proof: 131
% 37.04/9.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8523 ms resp. 7614 ms w/o parsing
% 31.96/9.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 31.96/9.26 % [INFO] Killing All external provers ...
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