%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n003.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 09:18:00 AM UTC 2026
% Result : Unsatisfiable 68.41s 29.45s
% Output : Refutation 69.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 35
% Syntax : Number of formulae : 228 ( 78 unt; 0 typ; 0 def)
% Number of atoms : 629 ( 121 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 3454 ( 309 ~; 239 |; 0 &;2906 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 7 con; 0-2 aty)
% Number of variables : 367 ( 0 ^; 367 !; 0 ?; 367 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p5_decl,type,
p5: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(p18_decl,type,
p18: $i > $o ).
thf(f6_decl,type,
f6: $i > $i ).
thf(c24_decl,type,
c24: $i ).
thf(c22_decl,type,
c22: $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(c23_decl,type,
c23: $i ).
thf(p19_decl,type,
p19: $i > $i > $o ).
thf(f7_decl,type,
f7: $i > $i ).
thf(f8_decl,type,
f8: $i > $i ).
thf(f9_decl,type,
f9: $i > $i ).
thf(c25_decl,type,
c25: $i ).
thf(f16_decl,type,
f16: $i > $i > $i ).
thf(f14_decl,type,
f14: $i > $i ).
thf(f15_decl,type,
f15: $i > $i ).
thf(f12_decl,type,
f12: $i > $i ).
thf(f13_decl,type,
f13: $i > $i > $i ).
thf(c26_decl,type,
c26: $i ).
thf(p20_decl,type,
p20: $i > $i > $o ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(f17_decl,type,
f17: $i > $i > $i ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_11) ).
thf(47,plain,
! [A: $i] : ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_21) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(cnf,[status(esa)],[56]) ).
thf(20,negated_conjecture,
~ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_20) ).
thf(53,plain,
~ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(77,plain,
~ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ),
inference(polarity_switch,[status(thm)],[53]) ).
thf(286,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ $true
| ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[72,77]) ).
thf(287,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) ) ),
inference(simp,[status(thm)],[286]) ).
thf(288,plain,
! [A: $i] :
( ~ ( c25 @ f7 @ f15 @ f14 @ ( A @ p10 ) )
| ~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( A @ p10 ) ) ),
inference(pattern_uni,[status(thm)],[287:[bind(A,$thf( c26 @ ( c24 @ f6 @ f13 ) )),bind(B,$thf( c25 @ f7 @ f15 @ f14 )),bind(C,$thf( C ))]]) ).
thf(309,plain,
! [A: $i] :
( ~ ( c25 @ f7 @ f15 @ f14 @ ( A @ p10 ) )
| ~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( A @ p10 ) ) ),
inference(simp,[status(thm)],[288]) ).
thf(377,plain,
! [B: $i,A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) @ ( B @ p10 ) ) )
| ~ ( c25 @ f7 @ f15 @ f14 @ ( B @ p10 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47,309]) ).
thf(378,plain,
! [B: $i,A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) @ ( B @ p10 ) ) )
| ~ ( c25 @ f7 @ f15 @ f14 @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[377]) ).
thf(379,plain,
~ ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ p10 ) ),
inference(pattern_uni,[status(thm)],[378:[bind(A,$thf( c26 @ ( c24 @ f6 @ f13 ) )),bind(B,$thf( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) ))]]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_30) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(8,negated_conjecture,
c23 @ ( c22 @ f4 @ p3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
thf(48,plain,
c23 @ ( c22 @ f4 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_16) ).
thf(65,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(76,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(cnf,[status(esa)],[65]) ).
thf(120,plain,
! [B: $i,A: $i] :
( ( ( c23 @ ( c22 @ f4 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[48,76]) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( ( c23 @ ( c22 @ f4 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[120]) ).
thf(122,plain,
c23 @ f7 @ ( c22 @ f4 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[121:[bind(A,$thf( c22 @ f4 )),bind(B,$thf( c23 ))]]) ).
thf(133,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ ( c22 @ f4 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[122,76]) ).
thf(134,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ ( c22 @ f4 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[133]) ).
thf(135,plain,
c23 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[134:[bind(A,$thf( c22 @ f4 @ f7 )),bind(B,$thf( c23 @ f7 ))]]) ).
thf(136,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[135,76]) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[136]) ).
thf(138,plain,
c23 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[137:[bind(A,$thf( c22 @ f4 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 ))]]) ).
thf(140,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[138,76]) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[140]) ).
thf(142,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[141:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 ))]]) ).
thf(143,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[142,76]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[143]) ).
thf(145,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[144:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(221,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[145,76]) ).
thf(222,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[221]) ).
thf(223,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[222:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(232,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[223,76]) ).
thf(233,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[232]) ).
thf(234,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(243,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[234,76]) ).
thf(244,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[243]) ).
thf(245,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[244:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(254,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[245,76]) ).
thf(255,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[254]) ).
thf(256,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[255:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(268,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[256,76]) ).
thf(269,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[268]) ).
thf(270,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[269:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(323,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[270,76]) ).
thf(324,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[323]) ).
thf(325,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[324:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(334,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[325,76]) ).
thf(335,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[334]) ).
thf(336,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[335:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(345,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[336,76]) ).
thf(346,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[345]) ).
thf(347,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[346:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(25,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(470,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p11 ) )
!= ( A @ ( C @ p11 ) ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(eqfactor_ordered,[status(thm)],[73]) ).
thf(471,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p11 ) )
| ( A @ ( A @ p11 ) ) ),
inference(pattern_uni,[status(thm)],[470:[bind(A,$thf( B ))]]) ).
thf(472,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p11 ) )
| ( A @ ( A @ p11 ) ) ),
inference(simp,[status(thm)],[471]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_13) ).
thf(42,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p18 )
| ( A @ p18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
thf(37,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p18 )
| ( A @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(28,negated_conjecture,
~ ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_28) ).
thf(55,plain,
~ ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(93,plain,
~ ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ),
inference(polarity_switch,[status(thm)],[55]) ).
thf(104,plain,
! [A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47,93]) ).
thf(105,plain,
! [A: $i] :
( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) ),
inference(simp,[status(thm)],[104]) ).
thf(108,plain,
! [A: $i] :
( ( A
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) ) )
| ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ) ),
inference(simp,[status(thm)],[105]) ).
thf(110,plain,
( ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ f16 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ),
inference(simp,[status(thm)],[108]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f15 @ ( A @ f15 @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).
thf(46,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f15 @ ( A @ f15 @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(33,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p3 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_33) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p3 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p11 ) )
| ~ ( C @ ( D @ p20 ) )
| ~ ( B @ ( C @ p11 ) )
| ( B @ ( A @ p20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_31) ).
thf(66,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p11 ) )
| ~ ( C @ ( D @ p20 ) )
| ~ ( B @ ( C @ p11 ) )
| ( B @ ( A @ p20 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p11 ) )
| ~ ( C @ ( D @ p20 ) )
| ~ ( B @ ( C @ p11 ) )
| ( B @ ( A @ p20 ) ) ),
inference(cnf,[status(esa)],[66]) ).
thf(26,negated_conjecture,
! [A: $i] : ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ ( A @ ( c22 @ f6 @ f13 ) @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
thf(67,plain,
! [A: $i] : ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ ( A @ ( c22 @ f6 @ f13 ) @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(129,plain,
! [A: $i] :
( ( ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ ( A @ ( c22 @ f6 @ f13 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[67,77]) ).
thf(130,plain,
! [A: $i] :
( ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ ( A @ ( c22 @ f6 @ f13 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(132,plain,
! [A: $i] :
( ( ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( ( A @ ( c22 @ f6 @ f13 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ) ),
inference(simp,[status(thm)],[130]) ).
thf(259,plain,
! [A: $i] :
( ( ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( A != c26 )
| ( ( c22 @ f6 )
!= ( c24 @ f6 ) ) ),
inference(simp,[status(thm)],[132]) ).
thf(260,plain,
( ( ( c26 @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( ( c22 @ f6 )
!= ( c24 @ f6 ) ) ),
inference(simp,[status(thm)],[259]) ).
thf(261,plain,
( ( ( c26 @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( c22 != c24 ) ),
inference(simp,[status(thm)],[260]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_22) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(cnf,[status(esa)],[61]) ).
thf(34,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p10 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_34) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p10 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(39,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(96,plain,
! [A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39,93]) ).
thf(97,plain,
! [A: $i] :
( ( A @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) ),
inference(simp,[status(thm)],[96]) ).
thf(100,plain,
! [A: $i] :
( ( A
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) ) )
| ( A
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ) ),
inference(simp,[status(thm)],[97]) ).
thf(102,plain,
( ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ),
inference(simp,[status(thm)],[100]) ).
thf(356,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[347,76]) ).
thf(357,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[356]) ).
thf(358,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[357:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(399,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[358,76]) ).
thf(400,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[399]) ).
thf(401,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[400:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(721,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[401,76]) ).
thf(722,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[721]) ).
thf(723,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[722:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(959,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[723,76]) ).
thf(960,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[959]) ).
thf(961,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[960:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(1055,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[961,76]) ).
thf(1056,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f7 @ ( A @ f7 @ p3 ) ) ),
inference(simp,[status(thm)],[1055]) ).
thf(1057,plain,
c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ ( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ p3 ),
inference(pattern_uni,[status(thm)],[1056:[bind(A,$thf( c22 @ f4 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 )),bind(B,$thf( c23 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 ))]]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f9 @ ( A @ f9 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
thf(38,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f9 @ ( A @ f9 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(19,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f12 @ ( A @ f12 @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_19) ).
thf(70,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f12 @ ( A @ f12 @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(6,negated_conjecture,
~ ( c24 @ f6 @ p18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f6_is_not_p18_6) ).
thf(40,plain,
~ ( c24 @ f6 @ p18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(92,plain,
~ ( c24 @ f6 @ p18 ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(708,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p5 ) )
!= ( A @ ( C @ p5 ) ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(eqfactor_ordered,[status(thm)],[74]) ).
thf(709,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ( A @ ( A @ p5 ) ) ),
inference(pattern_uni,[status(thm)],[708:[bind(A,$thf( B ))]]) ).
thf(710,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ( A @ ( A @ p5 ) ) ),
inference(simp,[status(thm)],[709]) ).
thf(292,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( C @ ( D @ p10 ) ) )
| ~ $true
| ~ ( B @ ( D @ p10 ) )
| ( C @ ( B @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[39,72]) ).
thf(293,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( C @ ( D @ p10 ) ) )
| ~ ( B @ ( D @ p10 ) )
| ( C @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[292]) ).
thf(294,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( A @ ( B @ p10 ) ) ),
inference(pattern_uni,[status(thm)],[293:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(427,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ ( A @ ( c22 @ f6 @ f13 ) @ p10 ) )
!= ( C @ ( B @ p10 ) ) )
| ~ $true
| ( B @ ( C @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[67,294]) ).
thf(428,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ ( A @ ( c22 @ f6 @ f13 ) @ p10 ) )
!= ( C @ ( B @ p10 ) ) )
| ( B @ ( C @ p10 ) ) ),
inference(simp,[status(thm)],[427]) ).
thf(429,plain,
! [A: $i] : ( A @ ( c22 @ f6 @ f13 ) @ ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ p10 ) ),
inference(pattern_uni,[status(thm)],[428:[bind(A,$thf( K )),bind(B,$thf( K @ ( c22 @ f6 @ f13 ) )),bind(C,$thf( K @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) ))]]) ).
thf(456,plain,
! [A: $i] : ( A @ ( c22 @ f6 @ f13 ) @ ( A @ ( c26 @ f16 ) @ ( c24 @ f6 @ f13 ) @ p10 ) ),
inference(simp,[status(thm)],[429]) ).
thf(518,plain,
! [A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47,379]) ).
thf(519,plain,
! [A: $i] :
( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ p10 ) ) ),
inference(simp,[status(thm)],[518]) ).
thf(522,plain,
! [A: $i] :
( ( A
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) ) ) ),
inference(simp,[status(thm)],[519]) ).
thf(526,plain,
( ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) ) ),
inference(simp,[status(thm)],[522]) ).
thf(444,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( C @ ( B @ p10 ) ) )
| ~ $true
| ( B @ ( C @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[47,294]) ).
thf(445,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( C @ ( B @ p10 ) ) )
| ( B @ ( C @ p10 ) ) ),
inference(simp,[status(thm)],[444]) ).
thf(446,plain,
! [A: $i] : ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) ),
inference(pattern_uni,[status(thm)],[445:[bind(A,$thf( D )),bind(B,$thf( c25 @ f7 @ f15 @ f14 @ ( D @ f16 ) )),bind(C,$thf( D ))]]) ).
thf(457,plain,
! [A: $i] : ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) ),
inference(simp,[status(thm)],[446]) ).
thf(380,plain,
! [B: $i,A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( B @ p10 ) ) )
| ~ $true
| ~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( B @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[47,309]) ).
thf(381,plain,
! [B: $i,A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( B @ p10 ) ) )
| ~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[380]) ).
thf(382,plain,
~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) @ p10 ) ),
inference(pattern_uni,[status(thm)],[381:[bind(A,$thf( c25 @ f7 @ f15 @ f14 )),bind(B,$thf( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) ))]]) ).
thf(528,plain,
! [A: $i] :
( ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) @ ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[457,382]) ).
thf(529,plain,
! [A: $i] :
( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) @ ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) @ p10 ) ) ),
inference(simp,[status(thm)],[528]) ).
thf(542,plain,
! [A: $i] :
( ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) ) )
| ( A
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) ) ) ),
inference(simp,[status(thm)],[529]) ).
thf(547,plain,
( ( c26 @ ( c24 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) @ f16 ) ) ),
inference(simp,[status(thm)],[542]) ).
thf(9,negated_conjecture,
c23 @ ( c25 @ f9 @ f8 @ f7 @ p19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_9) ).
thf(41,plain,
c23 @ ( c25 @ f9 @ f8 @ f7 @ p19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(307,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p10 ) )
!= ( A @ ( C @ p10 ) ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(eqfactor_ordered,[status(thm)],[72]) ).
thf(308,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p10 ) )
| ( A @ ( A @ p10 ) ) ),
inference(pattern_uni,[status(thm)],[307:[bind(A,$thf( B ))]]) ).
thf(311,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p10 ) )
| ( A @ ( A @ p10 ) ) ),
inference(simp,[status(thm)],[308]) ).
thf(7,negated_conjecture,
~ ( c22 @ f6 @ p18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f6_is_not_p18_7) ).
thf(45,plain,
~ ( c22 @ f6 @ p18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(35,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f4 @ p3 ) )
| ~ ( c23 @ ( B @ p21 ) )
| ( c25 @ f7 @ f15 @ f14 @ ( A @ ( B @ f17 ) @ ( A @ f6 @ f13 ) @ p10 ) )
| ( A @ f6 @ p18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_35) ).
thf(64,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f4 @ p3 ) )
| ~ ( c23 @ ( B @ p21 ) )
| ( c25 @ f7 @ f15 @ f14 @ ( A @ ( B @ f17 ) @ ( A @ f6 @ f13 ) @ p10 ) )
| ( A @ f6 @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p11 ) )
| ( B @ f14 @ ( A @ f14 @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_12) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p11 ) )
| ( B @ f14 @ ( A @ f14 @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(32,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p5 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_32) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p5 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(71,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p19 ) ) ),
inference(cnf,[status(esa)],[69]) ).
thf(474,plain,
! [A: $i] :
( ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[457,93]) ).
thf(475,plain,
! [A: $i] :
( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) ),
inference(simp,[status(thm)],[474]) ).
thf(496,plain,
! [A: $i] :
( ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) ) )
| ( A
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ) ),
inference(simp,[status(thm)],[475]) ).
thf(498,plain,
( ( c25 @ f7 @ f15 @ f14 @ ( c22 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) ) ),
inference(simp,[status(thm)],[496]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
thf(49,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(86,plain,
~ ( c22 @ f6 @ p18 ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_29) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(112,plain,
( ( ( c25 @ f7 @ f15 @ f14 )
!= c26 )
| ( ( c22 @ f6 )
!= ( c24 @ f6 ) ) ),
inference(simp,[status(thm)],[102]) ).
thf(113,plain,
( ( ( c25 @ f7 @ f15 @ f14 )
!= c26 )
| ( c22 != c24 ) ),
inference(simp,[status(thm)],[112]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p18 )
| ( A @ p18 ) ),
inference(cnf,[status(esa)],[37]) ).
thf(647,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p10 ) )
!= ( C @ ( D @ p10 ) ) )
| ~ $true
| ( C @ ( C @ p10 ) )
| ~ ( B @ ( A @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[294,311]) ).
thf(648,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p10 ) )
!= ( C @ ( D @ p10 ) ) )
| ( C @ ( C @ p10 ) )
| ~ ( B @ ( A @ p10 ) ) ),
inference(simp,[status(thm)],[647]) ).
thf(649,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ p10 ) )
| ~ ( B @ ( A @ p10 ) ) ),
inference(pattern_uni,[status(thm)],[648:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(98,plain,
! [A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39,77]) ).
thf(99,plain,
! [A: $i] :
( ( A @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) ),
inference(simp,[status(thm)],[98]) ).
thf(101,plain,
! [A: $i] :
( ( A
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( A
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ) ),
inference(simp,[status(thm)],[99]) ).
thf(103,plain,
( ( c26 @ ( c24 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 ) ),
inference(simp,[status(thm)],[101]) ).
thf(80,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p5 ) ) ),
inference(cnf,[status(esa)],[42]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
thf(63,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).
thf(43,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(705,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p5 ) )
!= ( C @ ( D @ p5 ) ) )
| ~ $true
| ~ ( B @ ( D @ p5 ) )
| ( C @ ( B @ p5 ) ) ),
inference(paramod_ordered,[status(thm)],[43,74]) ).
thf(706,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p5 ) )
!= ( C @ ( D @ p5 ) ) )
| ~ ( B @ ( D @ p5 ) )
| ( C @ ( B @ p5 ) ) ),
inference(simp,[status(thm)],[705]) ).
thf(707,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( A @ ( B @ p5 ) ) ),
inference(pattern_uni,[status(thm)],[706:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(506,plain,
! [A: $i] :
( ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[457,379]) ).
thf(507,plain,
! [A: $i] :
( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ p10 ) ) ),
inference(simp,[status(thm)],[506]) ).
thf(521,plain,
! [A: $i] :
( ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) )
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( A
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) ) ) ),
inference(simp,[status(thm)],[507]) ).
thf(525,plain,
( ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ f16 ) )
!= ( c25 @ f7 @ f15 @ f14 ) ),
inference(simp,[status(thm)],[521]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f8 @ ( A @ f8 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f8 @ ( A @ f8 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(368,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( B @ p10 ) ) )
| ~ $true
| ~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( B @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[39,309]) ).
thf(369,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( B @ p10 ) ) )
| ~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[368]) ).
thf(370,plain,
~ ( c26 @ ( c24 @ f6 @ f13 ) @ ( c25 @ f7 @ f15 @ f14 @ p10 ) ),
inference(pattern_uni,[status(thm)],[369:[bind(A,$thf( c25 @ f7 @ f15 @ f14 )),bind(B,$thf( c25 @ f7 @ f15 @ f14 ))]]) ).
thf(515,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ p10 ) ) )
| ~ $true
| ~ ( B @ ( A @ p10 ) ) ),
inference(paramod_ordered,[status(thm)],[294,379]) ).
thf(516,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ p10 ) ) )
| ~ ( B @ ( A @ p10 ) ) ),
inference(simp,[status(thm)],[515]) ).
thf(517,plain,
~ ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) @ ( c25 @ f7 @ f15 @ f14 @ p10 ) ),
inference(pattern_uni,[status(thm)],[516:[bind(A,$thf( c25 @ f7 @ f15 @ f14 )),bind(B,$thf( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) ))]]) ).
thf(411,plain,
! [A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) @ ( c25 @ f7 @ f15 @ f14 @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47,370]) ).
thf(412,plain,
! [A: $i] :
( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) @ ( c25 @ f7 @ f15 @ f14 @ p10 ) ) ),
inference(simp,[status(thm)],[411]) ).
thf(415,plain,
! [A: $i] :
( ( A
!= ( c26 @ ( c24 @ f6 @ f13 ) ) )
| ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) )
!= ( c25 @ f7 @ f15 @ f14 ) ) ),
inference(simp,[status(thm)],[412]) ).
thf(418,plain,
( ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f16 ) )
!= ( c25 @ f7 @ f15 @ f14 ) ),
inference(simp,[status(thm)],[415]) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p10 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p10 ) ) ),
inference(cnf,[status(esa)],[60]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_5) ).
thf(36,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_24) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(79,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(cnf,[status(esa)],[58]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_23) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(27,negated_conjecture,
! [A: $i] : ( A @ ( c24 @ f6 @ f13 ) @ f12 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f12 @ p20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_27) ).
thf(62,plain,
! [A: $i] : ( A @ ( c24 @ f6 @ f13 ) @ f12 @ ( c26 @ ( c24 @ f6 @ f13 ) @ f12 @ p20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(106,plain,
! [A: $i] :
( ( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47,77]) ).
thf(107,plain,
! [A: $i] :
( ( A @ ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) @ p10 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c26 @ ( c24 @ f6 @ f13 ) @ p10 ) ) ),
inference(simp,[status(thm)],[106]) ).
thf(109,plain,
! [A: $i] :
( ( A
!= ( c25 @ f7 @ f15 @ f14 ) )
| ( ( c25 @ f7 @ f15 @ f14 @ ( A @ f16 ) )
!= ( c26 @ ( c24 @ f6 @ f13 ) ) ) ),
inference(simp,[status(thm)],[107]) ).
thf(111,plain,
( ( c26 @ ( c24 @ f6 @ f13 ) )
!= ( c25 @ f7 @ f15 @ f14 @ ( c25 @ f7 @ f15 @ f14 @ f16 ) ) ),
inference(simp,[status(thm)],[109]) ).
thf(467,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p11 ) )
!= ( C @ ( D @ p11 ) ) )
| ~ $true
| ~ ( B @ ( D @ p11 ) )
| ( C @ ( B @ p11 ) ) ),
inference(paramod_ordered,[status(thm)],[36,73]) ).
thf(468,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p11 ) )
!= ( C @ ( D @ p11 ) ) )
| ~ ( B @ ( D @ p11 ) )
| ( C @ ( B @ p11 ) ) ),
inference(simp,[status(thm)],[467]) ).
thf(469,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p11 ) )
| ( A @ ( B @ p11 ) ) ),
inference(pattern_uni,[status(thm)],[468:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(1303,plain,
$false,
inference(e,[status(thm)],[379,53,69,138,347,234,56,142,472,42,37,52,110,46,93,325,57,78,261,61,132,74,60,270,102,1057,260,38,70,92,65,710,456,256,77,526,547,457,41,73,311,45,64,44,59,71,498,49,86,382,54,113,81,76,245,39,649,103,66,223,135,80,112,145,63,707,48,525,50,67,370,336,72,43,961,517,40,55,401,418,75,58,36,51,294,358,79,723,47,68,62,111,122,469,309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % 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
% 0.14/5.42 % Computer : n003.cluster.edu
% 0.14/5.42 % Model : x86_64 x86_64
% 0.14/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.42 % Memory : 8046.5625MB
% 0.14/5.42 % OS : Linux 6.8.0-71-generic
% 0.14/5.42 % CPULimit : 300
% 0.14/5.42 % WCLimit : 300
% 0.14/5.42 % DateTime : Sat Sep 26 18:18:59 UTC 2026
% 0.14/5.43 % CPUTime :
% 0.14/5.43 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
% 0.19/5.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/6.18 % [INFO] Parsing done (197ms).
% 1.26/6.19 % [INFO] Running in sequential loop mode.
% 2.10/6.60 % [INFO] eprover registered as external prover.
% 2.10/6.61 % [INFO] Scanning for conjecture ...
% 2.26/6.75 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.44/6.84 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.44/6.84 % [INFO] Problem is propositional (TPTP CNF).
% 2.44/6.84 % [INFO] Type checking passed.
% 2.44/6.85 % [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 ...
% 68.41/29.45 % External prover 'e' found a proof!
% 68.41/29.45 % [INFO] Killing All external provers ...
% 68.41/29.45 % Time passed: 23915ms (effective reasoning time: 23250ms)
% 68.41/29.45 % Axioms used in derivation (0):
% 68.41/29.45 % No. of inferences in proof: 228
% 68.41/29.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 23915 ms resp. 23250 ms w/o parsing
% 69.22/29.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 69.22/29.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------