%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN598-1 : 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 : n015.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 09:17:56 AM UTC 2026
% Result : Unsatisfiable 10.89s 3.62s
% Output : Refutation 10.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 29
% Syntax : Number of formulae : 132 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 377 ( 45 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 2304 ( 193 ~; 167 |; 0 &;1944 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 5 con; 0-2 aty)
% Number of variables : 222 ( 0 ^; 222 !; 0 ?; 222 :)
% Comments :
%------------------------------------------------------------------------------
thf(p17_decl,type,
p17: $i > $o ).
thf(c21_decl,type,
c21: $i ).
thf(p18_decl,type,
p18: $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p5_decl,type,
p5: $i > $i > $o ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f6_decl,type,
f6: $i > $i ).
thf(c22_decl,type,
c22: $i ).
thf(f9_decl,type,
f9: $i > $i ).
thf(f12_decl,type,
f12: $i > $i ).
thf(f13_decl,type,
f13: $i > $i ).
thf(f15_decl,type,
f15: $i > $i ).
thf(f16_decl,type,
f16: $i > $i ).
thf(f14_decl,type,
f14: $i > $i ).
thf(f8_decl,type,
f8: $i > $i ).
thf(p19_decl,type,
p19: $i > $i > $o ).
thf(p20_decl,type,
p20: $i > $i > $o ).
thf(f11_decl,type,
f11: $i > $i > $i ).
thf(f10_decl,type,
f10: $i > $i > $i ).
thf(c23_decl,type,
c23: $i ).
thf(27,negated_conjecture,
~ ( c21 @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_27) ).
thf(56,plain,
~ ( c21 @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,negated_conjecture,
! [A: $i] :
( ~ ( A @ p18 )
| ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ f16 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ f9 @ f8 @ p20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_29) ).
thf(52,plain,
! [A: $i] :
( ~ ( A @ p18 )
| ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ f16 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ f9 @ f8 @ p20 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(7,negated_conjecture,
c22 @ ( c21 @ f6 @ f4 @ p3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
thf(40,plain,
c22 @ ( c21 @ f6 @ f4 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(63,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(109,plain,
! [B: $i,A: $i] :
( ( ( c22 @ ( c21 @ f6 @ f4 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[40,63]) ).
thf(110,plain,
! [B: $i,A: $i] :
( ( ( c22 @ ( c21 @ f6 @ f4 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[109]) ).
thf(111,plain,
c22 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[110:[bind(A,$thf( c21 @ f6 @ f4 )),bind(B,$thf( c22 ))]]) ).
thf(138,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[111,63]) ).
thf(139,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[138]) ).
thf(140,plain,
c22 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[139:[bind(A,$thf( c21 @ f6 @ f4 @ f12 )),bind(B,$thf( c22 @ f12 ))]]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
thf(48,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(65,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(cnf,[status(esa)],[48]) ).
thf(214,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[140,65]) ).
thf(215,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(simp,[status(thm)],[214]) ).
thf(216,plain,
c22 @ f12 @ f12 @ f16 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f16 @ p3 ),
inference(pattern_uni,[status(thm)],[215:[bind(A,$thf( c21 @ f6 @ f4 @ f12 @ f12 )),bind(B,$thf( c22 @ f12 @ f12 ))]]) ).
thf(28,negated_conjecture,
! [A: $i] :
( ~ ( A @ p18 )
| ( A @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
thf(53,plain,
! [A: $i] :
( ~ ( A @ p18 )
| ( A @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(223,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[111,65]) ).
thf(224,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(simp,[status(thm)],[223]) ).
thf(225,plain,
c22 @ f12 @ f16 @ ( c21 @ f6 @ f4 @ f12 @ f16 @ p3 ),
inference(pattern_uni,[status(thm)],[224:[bind(A,$thf( c21 @ f6 @ f4 @ f12 )),bind(B,$thf( c22 @ f12 ))]]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
thf(41,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_23) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p19 ) ) ),
inference(cnf,[status(esa)],[58]) ).
thf(59,plain,
~ ( c21 @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ),
inference(polarity_switch,[status(thm)],[56]) ).
thf(81,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p19 ) )
!= ( c21 @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ) )
| ~ $true
| ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[67,59]) ).
thf(82,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p19 ) )
!= ( c21 @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ) )
| ~ ( D @ ( C @ p19 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(simp,[status(thm)],[81]) ).
thf(83,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( B @ p7 ) )
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ p7 ) ) ),
inference(pattern_uni,[status(thm)],[82:[bind(A,$thf( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )),bind(B,$thf( c21 @ f9 @ f8 )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(89,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( B @ p7 ) )
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ p7 ) ) ),
inference(simp,[status(thm)],[83]) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p7 ) )
!= ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( B @ p7 ) ) )
| ~ ( C @ ( B @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( C @ p7 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41,89]) ).
thf(117,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p7 ) )
!= ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( B @ p7 ) ) )
| ~ ( C @ ( B @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( C @ p7 ) ) ),
inference(simp,[status(thm)],[116]) ).
thf(118,plain,
! [A: $i] :
( ~ ( A @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( A @ p7 ) ) ),
inference(pattern_uni,[status(thm)],[117:[bind(A,$thf( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )),bind(B,$thf( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )),bind(C,$thf( C ))]]) ).
thf(128,plain,
! [A: $i] :
( ~ ( A @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( A @ p7 ) ) ),
inference(simp,[status(thm)],[118]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_16) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(2,negated_conjecture,
c21 @ p18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p18_2) ).
thf(37,plain,
c21 @ p18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(60,plain,
! [A: $i] :
( ~ ( A @ p18 )
| ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ f16 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ f9 @ f8 @ p20 ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(99,plain,
! [A: $i] :
( ( ( c21 @ p18 )
!= ( A @ p18 ) )
| ~ $true
| ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ f16 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ f9 @ f8 @ p20 ) ) ),
inference(paramod_ordered,[status(thm)],[37,60]) ).
thf(100,plain,
! [A: $i] :
( ( ( c21 @ p18 )
!= ( A @ p18 ) )
| ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ f16 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ f9 @ f8 @ p20 ) ) ),
inference(simp,[status(thm)],[99]) ).
thf(101,plain,
c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c21 @ f6 @ f4 @ f16 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( c21 @ f9 @ f8 @ p20 ),
inference(pattern_uni,[status(thm)],[100:[bind(A,$thf( c21 ))]]) ).
thf(232,plain,
! [B: $i,A: $i] :
( ( ( c22 @ ( c21 @ f6 @ f4 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[40,65]) ).
thf(233,plain,
! [B: $i,A: $i] :
( ( ( c22 @ ( c21 @ f6 @ f4 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(simp,[status(thm)],[232]) ).
thf(234,plain,
c22 @ f16 @ ( c21 @ f6 @ f4 @ f16 @ p3 ),
inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( c21 @ f6 @ f4 )),bind(B,$thf( c22 ))]]) ).
thf(247,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ ( c21 @ f6 @ f4 @ f16 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[234,65]) ).
thf(248,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ ( c21 @ f6 @ f4 @ f16 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f16 @ ( A @ f16 @ p3 ) ) ),
inference(simp,[status(thm)],[247]) ).
thf(249,plain,
c22 @ f16 @ f16 @ ( c21 @ f6 @ f4 @ f16 @ f16 @ p3 ),
inference(pattern_uni,[status(thm)],[248:[bind(A,$thf( c21 @ f6 @ f4 @ f16 )),bind(B,$thf( c22 @ f16 ))]]) ).
thf(142,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[140,63]) ).
thf(143,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[142]) ).
thf(144,plain,
c22 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[143:[bind(A,$thf( c21 @ f6 @ f4 @ f12 @ f12 )),bind(B,$thf( c22 @ f12 @ f12 ))]]) ).
thf(163,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[144,63]) ).
thf(164,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[163]) ).
thf(165,plain,
c22 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[164:[bind(A,$thf( c21 @ f6 @ f4 @ f12 @ f12 @ f12 )),bind(B,$thf( c22 @ f12 @ f12 @ f12 ))]]) ).
thf(166,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[165,63]) ).
thf(167,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[166]) ).
thf(168,plain,
c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[167:[bind(A,$thf( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 )),bind(B,$thf( c22 @ f12 @ f12 @ f12 @ f12 ))]]) ).
thf(169,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[168,63]) ).
thf(170,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[169]) ).
thf(171,plain,
c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[170:[bind(A,$thf( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 )),bind(B,$thf( c22 @ f12 @ f12 @ f12 @ f12 @ f12 ))]]) ).
thf(172,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[171,63]) ).
thf(173,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[172]) ).
thf(174,plain,
c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ ( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[173:[bind(A,$thf( c21 @ f6 @ f4 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 )),bind(B,$thf( c22 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 ))]]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f8 @ ( A @ f8 @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_18) ).
thf(42,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f8 @ ( A @ f8 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(19,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_19) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p7 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p7 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(61,plain,
! [A: $i] :
( ~ ( A @ p18 )
| ( A @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) ) ),
inference(cnf,[status(esa)],[53]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p18 )
| ( A @ p18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_9) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p18 )
| ( A @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(64,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p18 )
| ( A @ p18 ) ),
inference(cnf,[status(esa)],[35]) ).
thf(199,plain,
! [B: $i,A: $i] :
( ( ( c21 @ p18 )
!= ( B @ p18 ) )
| ~ ( A @ ( B @ p5 ) )
| ~ $true
| ( A @ p18 ) ),
inference(paramod_ordered,[status(thm)],[37,64]) ).
thf(200,plain,
! [B: $i,A: $i] :
( ( ( c21 @ p18 )
!= ( B @ p18 ) )
| ~ ( A @ ( B @ p5 ) )
| ( A @ p18 ) ),
inference(simp,[status(thm)],[199]) ).
thf(201,plain,
! [A: $i] :
( ~ ( A @ ( c21 @ p5 ) )
| ( A @ p18 ) ),
inference(pattern_uni,[status(thm)],[200:[bind(A,$thf( A )),bind(B,$thf( c21 ))]]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f14 @ ( A @ f14 @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
thf(38,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f14 @ ( A @ f14 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(125,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ p7 ) )
!= ( c21 @ f9 @ f8 @ ( B @ p7 ) ) )
| ~ ( B @ ( A @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( B @ p7 ) ) ),
inference(eqfactor_ordered,[status(thm)],[89]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )
!= ( c21 @ f9 @ f8 ) )
| ( A != B )
| ~ ( B @ ( A @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( B @ p7 ) ) ),
inference(simp,[status(thm)],[125]) ).
thf(130,plain,
! [A: $i] :
( ( ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )
!= ( c21 @ f9 @ f8 ) )
| ~ ( A @ ( A @ p19 ) )
| ~ ( c21 @ f9 @ f8 @ ( A @ p7 ) ) ),
inference(simp,[status(thm)],[127]) ).
thf(190,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p7 ) )
!= ( c21 @ f9 @ f8 @ ( B @ p7 ) ) )
| ( ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )
!= ( c21 @ f9 @ f8 ) )
| ~ ( B @ ( B @ p19 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41,130]) ).
thf(191,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p7 ) )
!= ( c21 @ f9 @ f8 @ ( B @ p7 ) ) )
| ( ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )
!= ( c21 @ f9 @ f8 ) )
| ~ ( B @ ( B @ p19 ) ) ),
inference(simp,[status(thm)],[190]) ).
thf(192,plain,
( ( ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) )
!= ( c21 @ f9 @ f8 ) )
| ~ ( c21 @ f9 @ f8 @ ( c21 @ f9 @ f8 @ p19 ) ) ),
inference(pattern_uni,[status(thm)],[191:[bind(A,$thf( c21 @ f9 @ f8 )),bind(B,$thf( c21 @ f9 @ f8 ))]]) ).
thf(1,negated_conjecture,
c21 @ p17,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p17_1) ).
thf(33,plain,
c21 @ p17,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(250,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ ( c21 @ f6 @ f4 @ f16 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ~ $true
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[234,63]) ).
thf(251,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ ( c21 @ f6 @ f4 @ f16 @ p3 ) )
!= ( B @ ( A @ p3 ) ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(simp,[status(thm)],[250]) ).
thf(252,plain,
c22 @ f16 @ f12 @ ( c21 @ f6 @ f4 @ f16 @ f12 @ p3 ),
inference(pattern_uni,[status(thm)],[251:[bind(A,$thf( c21 @ f6 @ f4 @ f16 )),bind(B,$thf( c22 @ f16 ))]]) ).
thf(119,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p7 ) )
!= ( c21 @ f9 @ f8 @ ( C @ p7 ) ) )
| ~ ( C @ ( B @ p19 ) )
| ~ $true
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( B @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[41,89]) ).
thf(120,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p7 ) )
!= ( c21 @ f9 @ f8 @ ( C @ p7 ) ) )
| ~ ( C @ ( B @ p19 ) )
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( B @ p7 ) ) ),
inference(simp,[status(thm)],[119]) ).
thf(121,plain,
! [A: $i] :
( ~ ( c21 @ f9 @ f8 @ ( A @ p19 ) )
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ p7 ) ) ),
inference(pattern_uni,[status(thm)],[120:[bind(A,$thf( c21 @ f9 @ f8 )),bind(B,$thf( B )),bind(C,$thf( c21 @ f9 @ f8 ))]]) ).
thf(129,plain,
! [A: $i] :
( ~ ( c21 @ f9 @ f8 @ ( A @ p19 ) )
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( A @ p7 ) ) ),
inference(simp,[status(thm)],[121]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p17 )
| ( A @ p17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_8) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p17 )
| ( A @ p17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f15 @ ( A @ f15 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
thf(32,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f15 @ ( A @ f15 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).
thf(34,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(178,plain,
! [B: $i,A: $i] :
( ( ( A @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) )
!= ( c21 @ f9 @ f8 @ ( B @ p19 ) ) )
| ~ $true
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( B @ p7 ) )
| ~ ( A @ p18 ) ),
inference(paramod_ordered,[status(thm)],[61,129]) ).
thf(179,plain,
! [B: $i,A: $i] :
( ( ( A @ f9 @ f8 @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( A @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p19 ) )
!= ( c21 @ f9 @ f8 @ ( B @ p19 ) ) )
| ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( B @ p7 ) )
| ~ ( A @ p18 ) ),
inference(simp,[status(thm)],[178]) ).
thf(180,plain,
( ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c21 @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p7 ) )
| ~ ( c21 @ p18 ) ),
inference(pattern_uni,[status(thm)],[179:[bind(A,$thf( c21 )),bind(B,$thf( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c21 @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) ))]]) ).
thf(278,plain,
( ~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c21 @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p7 ) )
| ~ $true ),
inference(rewrite,[status(thm)],[180,37]) ).
thf(279,plain,
~ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c22 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ ( c23 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f13 @ f12 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ ( c21 @ f6 @ f4 @ ( c23 @ f13 @ f15 @ f12 @ f14 @ f11 ) @ f10 ) @ p7 ) ),
inference(simp,[status(thm)],[278]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,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_21) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p20 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_24) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p20 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p20 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f9 @ ( A @ f9 @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_10) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f9 @ ( A @ f9 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(22,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_22) ).
thf(55,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f13 @ ( A @ f13 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
thf(36,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f13 @ ( A @ f13 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
thf(30,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_20) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
thf(47,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(62,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
inference(cnf,[status(esa)],[44]) ).
thf(315,plain,
$false,
inference(e,[status(thm)],[56,52,216,53,225,128,39,140,43,58,111,101,249,234,174,42,37,46,57,61,89,60,201,38,192,165,33,252,65,129,41,45,32,34,279,64,44,59,54,144,49,130,35,48,63,50,67,31,40,55,171,36,168,30,51,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN598-1 : 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
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 18:18:28 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 0.85/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.14 % [INFO] Parsing done (183ms).
% 1.23/1.16 % [INFO] Running in sequential loop mode.
% 1.87/1.56 % [INFO] eprover registered as external prover.
% 1.87/1.57 % [INFO] Scanning for conjecture ...
% 2.24/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.24/1.80 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.44/1.80 % [INFO] Problem is propositional (TPTP CNF).
% 2.44/1.80 % [INFO] Type checking passed.
% 2.44/1.80 % [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 ...
% 10.89/3.62 % External prover 'e' found a proof!
% 10.89/3.62 % [INFO] Killing All external provers ...
% 10.89/3.62 % Time passed: 3090ms (effective reasoning time: 2453ms)
% 10.89/3.62 % Axioms used in derivation (0):
% 10.89/3.62 % No. of inferences in proof: 132
% 10.89/3.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3090 ms resp. 2453 ms w/o parsing
% 10.89/3.69 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.89/3.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------