%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN600-1 : 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 : n004.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 09:17:57 AM UTC 2026
% Result : Unsatisfiable 33.68s 9.42s
% Output : Refutation 27.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 120 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 439 ( 43 equ; 0 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1987 ( 277 ~; 259 |; 0 &;1451 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 5 con; 0-2 aty)
% Number of variables : 328 ( 0 ^; 328 !; 0 ?; 328 :)
% Comments :
%------------------------------------------------------------------------------
thf(p19_decl,type,
p19: $i > $o ).
thf(c21_decl,type,
c21: $i ).
thf(c22_decl,type,
c22: $i ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p5_decl,type,
p5: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(f16_decl,type,
f16: $i > $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f6_decl,type,
f6: $i > $i ).
thf(f11_decl,type,
f11: $i > $i ).
thf(f12_decl,type,
f12: $i > $i ).
thf(f14_decl,type,
f14: $i > $i ).
thf(f13_decl,type,
f13: $i > $i ).
thf(f15_decl,type,
f15: $i > $i ).
thf(p17_decl,type,
p17: $i > $i > $o ).
thf(p18_decl,type,
p18: $i > $i > $o ).
thf(f9_decl,type,
f9: $i > $i > $i ).
thf(f10_decl,type,
f10: $i > $i > $i ).
thf(f8_decl,type,
f8: $i > $i > $i ).
thf(c20_decl,type,
c20: $i ).
thf(7,negated_conjecture,
c22 @ f16 @ ( c21 @ f16 @ p7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_7) ).
thf(40,plain,
c22 @ f16 @ ( c21 @ f16 @ p7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_17) ).
thf(38,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(71,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(cnf,[status(esa)],[38]) ).
thf(1108,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ ( c21 @ f16 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ~ $true
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[40,71]) ).
thf(1109,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ ( c21 @ f16 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(simp,[status(thm)],[1108]) ).
thf(1110,plain,
c22 @ f16 @ f15 @ ( c21 @ f16 @ f15 @ p7 ),
inference(pattern_uni,[status(thm)],[1109:[bind(A,$thf( c21 @ f16 )),bind(B,$thf( c22 @ f16 ))]]) ).
thf(27,negated_conjecture,
! [A: $i] :
( ~ ( A @ p19 )
| ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_27) ).
thf(56,plain,
! [A: $i] :
( ~ ( A @ p19 )
| ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( B @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f8 ) @ ( A @ f16 @ f15 @ p17 ) )
| ~ ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( B @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) )
| ~ ( A @ p19 )
| ( B @ ( A @ f6 @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_29) ).
thf(52,plain,
! [B: $i,A: $i] :
( ~ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( B @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f8 ) @ ( A @ f16 @ f15 @ p17 ) )
| ~ ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( B @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) )
| ~ ( A @ p19 )
| ( B @ ( A @ f6 @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(60,plain,
! [B: $i,A: $i] :
( ~ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( B @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f8 ) @ ( A @ f16 @ f15 @ p17 ) )
| ~ ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( B @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) )
| ~ ( A @ p19 )
| ( B @ ( A @ f6 @ f4 @ p3 ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
thf(48,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(65,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(cnf,[status(esa)],[48]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
thf(41,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
thf(34,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f11 @ ( A @ f11 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f11 @ ( A @ f11 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(63,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f11 @ ( A @ f11 @ p3 ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(8,negated_conjecture,
~ ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_8) ).
thf(45,plain,
~ ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(72,plain,
~ ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(929,plain,
! [B: $i,A: $i] :
( ( ( B @ f11 @ ( A @ f11 @ p3 ) )
!= ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ) )
| ~ $true
| ~ ( B @ ( A @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[63,72]) ).
thf(930,plain,
! [B: $i,A: $i] :
( ( ( B @ f11 @ ( A @ f11 @ p3 ) )
!= ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ) )
| ~ ( B @ ( A @ p3 ) ) ),
inference(simp,[status(thm)],[929]) ).
thf(931,plain,
! [B: $i,A: $i] :
( ( ( B @ f11 )
!= ( c22 @ f6 @ f4 ) )
| ( ( A @ f11 )
!= ( c21 @ f6 @ f4 ) )
| ~ ( B @ ( A @ p3 ) ) ),
inference(simp,[status(thm)],[930]) ).
thf(936,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( C @ ( B @ p3 ) ) )
| ( ( C @ f11 )
!= ( c22 @ f6 @ f4 ) )
| ( ( B @ f11 )
!= ( c21 @ f6 @ f4 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34,931]) ).
thf(937,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( C @ ( B @ p3 ) ) )
| ( ( C @ f11 )
!= ( c22 @ f6 @ f4 ) )
| ( ( B @ f11 )
!= ( c21 @ f6 @ f4 ) ) ),
inference(simp,[status(thm)],[936]) ).
thf(938,plain,
! [A: $i] :
( ( ( A @ f11 )
!= ( c22 @ f6 @ f4 ) )
| ( ( A @ f11 )
!= ( c21 @ f6 @ f4 ) ) ),
inference(pattern_uni,[status(thm)],[937:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_23) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p18 ) ) ),
inference(cnf,[status(esa)],[58]) ).
thf(81,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p18 ) )
!= ( H @ ( G @ p18 ) ) )
| ~ $true
| ~ ( F @ ( H @ p7 ) )
| ~ ( E @ ( G @ p7 ) )
| ( F @ ( E @ p18 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[67,67]) ).
thf(82,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p18 ) )
!= ( H @ ( G @ p18 ) ) )
| ~ ( F @ ( H @ p7 ) )
| ~ ( E @ ( G @ p7 ) )
| ( F @ ( E @ p18 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(simp,[status(thm)],[81]) ).
thf(83,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ( F @ ( E @ p18 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(pattern_uni,[status(thm)],[82:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( A )),bind(H,$thf( B ))]]) ).
thf(1,negated_conjecture,
c21 @ p19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p19_1) ).
thf(33,plain,
c21 @ p19,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(59,plain,
! [A: $i] :
( ~ ( A @ p19 )
| ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) ) ),
inference(cnf,[status(esa)],[56]) ).
thf(871,plain,
! [A: $i] :
( ( ( c21 @ p19 )
!= ( A @ p19 ) )
| ~ $true
| ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) ) ),
inference(paramod_ordered,[status(thm)],[33,59]) ).
thf(872,plain,
! [A: $i] :
( ( ( c21 @ p19 )
!= ( A @ p19 ) )
| ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) ) ),
inference(simp,[status(thm)],[871]) ).
thf(873,plain,
c21 @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( c21 @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ),
inference(pattern_uni,[status(thm)],[872:[bind(A,$thf( c21 ))]]) ).
thf(2,negated_conjecture,
c22 @ p19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22_is_p19_2) ).
thf(37,plain,
c22 @ p19,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p19 )
| ( A @ p19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_9) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p19 )
| ( A @ p19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(64,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p5 ) )
| ~ ( B @ p19 )
| ( A @ p19 ) ),
inference(cnf,[status(esa)],[35]) ).
thf(859,plain,
! [B: $i,A: $i] :
( ( ( c22 @ p19 )
!= ( B @ p19 ) )
| ~ ( A @ ( B @ p5 ) )
| ~ $true
| ( A @ p19 ) ),
inference(paramod_ordered,[status(thm)],[37,64]) ).
thf(860,plain,
! [B: $i,A: $i] :
( ( ( c22 @ p19 )
!= ( B @ p19 ) )
| ~ ( A @ ( B @ p5 ) )
| ( A @ p19 ) ),
inference(simp,[status(thm)],[859]) ).
thf(861,plain,
! [A: $i] :
( ~ ( A @ ( c22 @ p5 ) )
| ( A @ p19 ) ),
inference(pattern_uni,[status(thm)],[860:[bind(A,$thf( A )),bind(B,$thf( c22 ))]]) ).
thf(18,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_18) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(883,plain,
! [A: $i] :
( ( ( c22 @ p19 )
!= ( A @ p19 ) )
| ~ $true
| ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) ) ),
inference(paramod_ordered,[status(thm)],[37,59]) ).
thf(884,plain,
! [A: $i] :
( ( ( c22 @ p19 )
!= ( A @ p19 ) )
| ( A @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ) ) ),
inference(simp,[status(thm)],[883]) ).
thf(885,plain,
c22 @ f16 @ f15 @ ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( c22 @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ p18 ),
inference(pattern_uni,[status(thm)],[884:[bind(A,$thf( c22 ))]]) ).
thf(113,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ p18 ) )
!= ( J @ ( I @ p18 ) ) )
| ~ ( L @ ( H @ p7 ) )
| ~ ( K @ ( G @ p7 ) )
| ( L @ ( K @ p18 ) )
| ~ $true
| ~ ( H @ ( J @ p7 ) )
| ~ ( G @ ( I @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[83,83]) ).
thf(114,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ p18 ) )
!= ( J @ ( I @ p18 ) ) )
| ~ ( L @ ( H @ p7 ) )
| ~ ( K @ ( G @ p7 ) )
| ( L @ ( K @ p18 ) )
| ~ ( H @ ( J @ p7 ) )
| ~ ( G @ ( I @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(simp,[status(thm)],[113]) ).
thf(115,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( H @ p7 ) )
| ~ ( I @ ( G @ p7 ) )
| ( J @ ( I @ p18 ) )
| ~ ( H @ ( F @ p7 ) )
| ~ ( G @ ( E @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(pattern_uni,[status(thm)],[114:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( E )),bind(J,$thf( F ))]]) ).
thf(133,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( H @ p7 ) )
| ~ ( I @ ( G @ p7 ) )
| ( J @ ( I @ p18 ) )
| ~ ( H @ ( F @ p7 ) )
| ~ ( G @ ( E @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(simp,[status(thm)],[115]) ).
thf(173,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( J @ ( I @ p18 ) )
!= ( N @ ( M @ p18 ) ) )
| ~ ( T @ ( R @ p7 ) )
| ~ ( S @ ( Q @ p7 ) )
| ( T @ ( S @ p18 ) )
| ~ ( R @ ( P @ p7 ) )
| ~ ( Q @ ( O @ p7 ) )
| ~ ( P @ ( L @ p7 ) )
| ~ ( O @ ( K @ p7 ) )
| ~ $true
| ~ ( L @ ( N @ p7 ) )
| ~ ( K @ ( M @ p7 ) )
| ~ ( J @ ( H @ p7 ) )
| ~ ( I @ ( G @ p7 ) )
| ~ ( H @ ( F @ p7 ) )
| ~ ( G @ ( E @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[133,133]) ).
thf(174,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( J @ ( I @ p18 ) )
!= ( N @ ( M @ p18 ) ) )
| ~ ( T @ ( R @ p7 ) )
| ~ ( S @ ( Q @ p7 ) )
| ( T @ ( S @ p18 ) )
| ~ ( R @ ( P @ p7 ) )
| ~ ( Q @ ( O @ p7 ) )
| ~ ( P @ ( L @ p7 ) )
| ~ ( O @ ( K @ p7 ) )
| ~ ( L @ ( N @ p7 ) )
| ~ ( K @ ( M @ p7 ) )
| ~ ( J @ ( H @ p7 ) )
| ~ ( I @ ( G @ p7 ) )
| ~ ( H @ ( F @ p7 ) )
| ~ ( G @ ( E @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(simp,[status(thm)],[173]) ).
thf(175,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( R @ ( P @ p7 ) )
| ~ ( Q @ ( O @ p7 ) )
| ( R @ ( Q @ p18 ) )
| ~ ( P @ ( N @ p7 ) )
| ~ ( O @ ( M @ p7 ) )
| ~ ( N @ ( L @ p7 ) )
| ~ ( M @ ( K @ p7 ) )
| ~ ( L @ ( J @ p7 ) )
| ~ ( K @ ( I @ p7 ) )
| ~ ( J @ ( H @ p7 ) )
| ~ ( I @ ( G @ p7 ) )
| ~ ( H @ ( F @ p7 ) )
| ~ ( G @ ( E @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(pattern_uni,[status(thm)],[174:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G )),bind(H,$thf( H )),bind(I,$thf( I )),bind(J,$thf( J )),bind(K,$thf( K )),bind(L,$thf( L )),bind(M,$thf( I )),bind(N,$thf( J ))]]) ).
thf(320,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( R @ ( P @ p7 ) )
| ~ ( Q @ ( O @ p7 ) )
| ( R @ ( Q @ p18 ) )
| ~ ( P @ ( N @ p7 ) )
| ~ ( O @ ( M @ p7 ) )
| ~ ( N @ ( L @ p7 ) )
| ~ ( M @ ( K @ p7 ) )
| ~ ( L @ ( J @ p7 ) )
| ~ ( K @ ( I @ p7 ) )
| ~ ( J @ ( H @ p7 ) )
| ~ ( I @ ( G @ p7 ) )
| ~ ( H @ ( F @ p7 ) )
| ~ ( G @ ( E @ p7 ) )
| ~ ( F @ ( B @ p7 ) )
| ~ ( E @ ( A @ p7 ) )
| ~ ( D @ ( C @ p18 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) ) ),
inference(simp,[status(thm)],[175]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_19) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p7 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p7 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(28,negated_conjecture,
! [A: $i] :
( ~ ( A @ p19 )
| ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f8 ) @ ( A @ f16 @ f15 @ p17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_28) ).
thf(53,plain,
! [A: $i] :
( ~ ( A @ p19 )
| ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f8 ) @ ( A @ f16 @ f15 @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(61,plain,
! [A: $i] :
( ~ ( A @ p19 )
| ( c20 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f12 @ f11 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ ( A @ f6 @ f4 @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f10 ) @ f9 ) @ ( c20 @ f12 @ f14 @ f11 @ f13 @ f8 ) @ ( A @ f16 @ f15 @ p17 ) ) ),
inference(cnf,[status(esa)],[53]) ).
thf(140,plain,
! [A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[34,72]) ).
thf(141,plain,
! [A: $i] :
( ( A @ ( A @ p3 ) )
!= ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ) ),
inference(simp,[status(thm)],[140]) ).
thf(142,plain,
! [A: $i] :
( ( A
!= ( c22 @ f6 @ f4 ) )
| ( A
!= ( c21 @ f6 @ f4 ) ) ),
inference(simp,[status(thm)],[141]) ).
thf(143,plain,
( ( c22 @ f6 @ f4 )
!= ( c21 @ f6 @ f4 ) ),
inference(simp,[status(thm)],[142]) ).
thf(168,plain,
( ( c22 @ f6 )
!= ( c21 @ f6 ) ),
inference(simp,[status(thm)],[143]) ).
thf(169,plain,
c22 != c21,
inference(simp,[status(thm)],[168]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f14 @ ( A @ f14 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
thf(32,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f14 @ ( A @ f14 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
file('/export/starexec/sandbox2/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 @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_21) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p7 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p7 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(856,plain,
! [B: $i,A: $i] :
( ( ( c21 @ p19 )
!= ( B @ p19 ) )
| ~ ( A @ ( B @ p5 ) )
| ~ $true
| ( A @ p19 ) ),
inference(paramod_ordered,[status(thm)],[33,64]) ).
thf(857,plain,
! [B: $i,A: $i] :
( ( ( c21 @ p19 )
!= ( B @ p19 ) )
| ~ ( A @ ( B @ p5 ) )
| ( A @ p19 ) ),
inference(simp,[status(thm)],[856]) ).
thf(858,plain,
! [A: $i] :
( ~ ( A @ ( c21 @ p5 ) )
| ( A @ p19 ) ),
inference(pattern_uni,[status(thm)],[857:[bind(A,$thf( A )),bind(B,$thf( c21 ))]]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f13 @ ( A @ f13 @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_16) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f13 @ ( A @ f13 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(66,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f13 @ ( A @ f13 @ p7 ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(1169,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ f15 @ ( c21 @ f16 @ f15 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ~ $true
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[1110,71]) ).
thf(1170,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ f15 @ ( c21 @ f16 @ f15 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(simp,[status(thm)],[1169]) ).
thf(1171,plain,
c22 @ f16 @ f15 @ f15 @ ( c21 @ f16 @ f15 @ f15 @ p7 ),
inference(pattern_uni,[status(thm)],[1170:[bind(A,$thf( c21 @ f16 @ f15 )),bind(B,$thf( c22 @ f16 @ f15 ))]]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p7 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f16 @ ( A @ f16 @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_10) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p5 ) )
| ( B @ f16 @ ( A @ f16 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1278,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ f15 @ f15 @ ( c21 @ f16 @ f15 @ f15 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ~ $true
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[1171,71]) ).
thf(1279,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ f15 @ f15 @ ( c21 @ f16 @ f15 @ f15 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(simp,[status(thm)],[1278]) ).
thf(1280,plain,
c22 @ f16 @ f15 @ f15 @ f15 @ ( c21 @ f16 @ f15 @ f15 @ f15 @ p7 ),
inference(pattern_uni,[status(thm)],[1279:[bind(A,$thf( c21 @ f16 @ f15 @ f15 )),bind(B,$thf( c22 @ f16 @ f15 @ f15 ))]]) ).
thf(1402,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ f15 @ f15 @ f15 @ ( c21 @ f16 @ f15 @ f15 @ f15 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ~ $true
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(paramod_ordered,[status(thm)],[1280,71]) ).
thf(1403,plain,
! [B: $i,A: $i] :
( ( ( c22 @ f16 @ f15 @ f15 @ f15 @ ( c21 @ f16 @ f15 @ f15 @ f15 @ p7 ) )
!= ( B @ ( A @ p7 ) ) )
| ( B @ f15 @ ( A @ f15 @ p7 ) ) ),
inference(simp,[status(thm)],[1402]) ).
thf(1404,plain,
c22 @ f16 @ f15 @ f15 @ f15 @ f15 @ ( c21 @ f16 @ f15 @ f15 @ f15 @ f15 @ p7 ),
inference(pattern_uni,[status(thm)],[1403:[bind(A,$thf( c21 @ f16 @ f15 @ f15 @ f15 )),bind(B,$thf( c22 @ f16 @ f15 @ f15 @ f15 ))]]) ).
thf(959,plain,
! [B: $i,A: $i] :
( ( ( B @ f4 @ ( A @ f4 @ p3 ) )
!= ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ) )
| ~ $true
| ~ ( B @ ( A @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[65,72]) ).
thf(960,plain,
! [B: $i,A: $i] :
( ( ( B @ f4 @ ( A @ f4 @ p3 ) )
!= ( c22 @ f6 @ f4 @ ( c21 @ f6 @ f4 @ p3 ) ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[959]) ).
thf(961,plain,
~ ( c22 @ f6 @ ( c21 @ f6 @ p2 ) ),
inference(pattern_uni,[status(thm)],[960:[bind(A,$thf( c21 @ f6 )),bind(B,$thf( c22 @ f6 ))]]) ).
thf(22,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p17 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_22) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p17 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
thf(36,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f12 @ ( A @ f12 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).
thf(30,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(20,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_20) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_4) ).
thf(47,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
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(3102,plain,
$false,
inference(e,[status(thm)],[1110,56,52,60,65,41,938,39,931,58,83,873,861,42,885,320,37,46,57,61,133,38,33,53,169,45,64,32,34,44,59,71,54,49,858,66,1171,35,48,63,50,67,31,1404,72,143,43,961,40,55,1280,36,168,30,51,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n004.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 18:15:06 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.87/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.19 % [INFO] Parsing done (204ms).
% 1.44/1.20 % [INFO] Running in sequential loop mode.
% 2.16/1.61 % [INFO] eprover registered as external prover.
% 2.16/1.62 % [INFO] Scanning for conjecture ...
% 2.35/1.78 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.58/1.87 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.58/1.87 % [INFO] Problem is propositional (TPTP CNF).
% 2.58/1.88 % [INFO] Type checking passed.
% 2.58/1.88 % [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 ...
% 33.68/9.41 % External prover 'e' found a proof!
% 33.68/9.41 % [INFO] Killing All external provers ...
% 33.68/9.42 % Time passed: 8872ms (effective reasoning time: 8205ms)
% 33.68/9.42 % Axioms used in derivation (0):
% 33.68/9.42 % No. of inferences in proof: 120
% 33.68/9.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8872 ms resp. 8205 ms w/o parsing
% 27.08/9.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 27.08/9.51 % [INFO] Killing All external provers ...
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