%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN565-1 : 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 : n014.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 09:17:52 AM UTC 2026
% Result : Unsatisfiable 23.05s 6.98s
% Output : Refutation 24.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 131 ( 42 unt; 0 typ; 0 def)
% Number of atoms : 373 ( 48 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1780 ( 185 ~; 152 |; 0 &;1443 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 341 ( 0 ^; 341 !; 0 ?; 341 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(f5_decl,type,
f5: $i > $i ).
thf(f7_decl,type,
f7: $i > $i ).
thf(f8_decl,type,
f8: $i > $i > $i ).
thf(f6_decl,type,
f6: $i > $i > $i ).
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(f3_decl,type,
f3: $i > $i > $i ).
thf(f9_decl,type,
f9: $i > $i > $i ).
thf(c11_decl,type,
c11: $i ).
thf(c12_decl,type,
c12: $i ).
thf(4,negated_conjecture,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ ( B @ ( A @ f8 ) @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
thf(35,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ ( B @ ( A @ f8 ) @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f7 @ ( A @ f7 @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
thf(29,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f7 @ ( A @ f7 @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f7 @ ( A @ f7 @ p4 ) ) ),
inference(cnf,[status(esa)],[29]) ).
thf(98,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ ( B @ ( A @ f8 ) @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[35,40]) ).
thf(99,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ ( B @ ( A @ f8 ) @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(simp,[status(thm)],[98]) ).
thf(100,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ ( B @ ( A @ f8 ) @ f7 @ p4 ) ),
inference(pattern_uni,[status(thm)],[99:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( I @ ( G @ f8 ) )),bind(D,$thf( I @ f7 @ ( G @ f6 ) ))]]) ).
thf(110,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ ( B @ ( A @ f8 ) @ f7 @ p4 ) ),
inference(simp,[status(thm)],[100]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
thf(30,plain,
! [A: $i] : ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
thf(22,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p10 ) )
| ~ ( B @ ( D @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_14) ).
thf(21,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p10 ) )
| ~ ( B @ ( D @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(42,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p10 ) )
| ~ ( B @ ( D @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
inference(cnf,[status(esa)],[21]) ).
thf(11,negated_conjecture,
~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_11) ).
thf(33,plain,
~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(43,plain,
~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p10 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ) )
| ~ $true
| ~ ( D @ ( C @ p10 ) )
| ~ ( B @ ( D @ p2 ) )
| ~ ( A @ ( C @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[42,43]) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p10 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ) )
| ~ ( D @ ( C @ p10 ) )
| ~ ( B @ ( D @ p2 ) )
| ~ ( A @ ( C @ p2 ) ) ),
inference(simp,[status(thm)],[58]) ).
thf(60,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( B @ p2 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[59:[bind(A,$thf( c12 @ f5 @ ( c11 @ f5 @ f9 ) )),bind(B,$thf( c11 @ ( c12 @ f8 ) @ f5 )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(73,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( B @ p2 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[60]) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) ) )
| ~ ( C @ ( B @ p10 ) )
| ~ $true
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[22,73]) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) ) )
| ~ ( C @ ( B @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) ),
inference(simp,[status(thm)],[81]) ).
thf(83,plain,
! [A: $i] :
( ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( A @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[82:[bind(A,$thf( c11 @ ( c12 @ f8 ) @ f5 )),bind(B,$thf( B )),bind(C,$thf( c11 @ ( c12 @ f8 ) @ f5 ))]]) ).
thf(94,plain,
! [A: $i] :
( ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( A @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[83]) ).
thf(352,plain,
! [B: $i,A: $i] :
( ( ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) )
!= ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( B @ p10 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30,94]) ).
thf(353,plain,
! [B: $i,A: $i] :
( ( ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) )
!= ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[352]) ).
thf(356,plain,
! [B: $i,A: $i] :
( ( ( A @ f5 )
!= ( c12 @ f5 @ ( c11 @ f5 @ f9 ) ) )
| ( ( A @ f7 @ f5 )
!= B )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( B @ p10 ) ) ),
inference(simp,[status(thm)],[353]) ).
thf(361,plain,
! [A: $i] :
( ( ( A @ f5 )
!= ( c12 @ f5 @ ( c11 @ f5 @ f9 ) ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( A @ f7 @ f5 @ p10 ) ) ),
inference(simp,[status(thm)],[356]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
thf(23,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(47,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(162,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[110,47]) ).
thf(163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(simp,[status(thm)],[162]) ).
thf(164,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f5 @ ( B @ ( A @ f8 ) @ f7 @ f5 @ p2 ) ),
inference(pattern_uni,[status(thm)],[163:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( K @ ( I @ f8 ) @ f7 )),bind(D,$thf( K @ f7 @ ( I @ f6 ) @ f7 ))]]) ).
thf(188,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f5 @ ( B @ ( A @ f8 ) @ f7 @ f5 @ p2 ) ),
inference(simp,[status(thm)],[164]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
thf(26,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(38,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(cnf,[status(esa)],[24]) ).
thf(550,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p4 ) )
!= ( C @ ( D @ p4 ) ) )
| ~ $true
| ~ ( B @ ( D @ p4 ) )
| ( C @ ( B @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[26,38]) ).
thf(551,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p4 ) )
!= ( C @ ( D @ p4 ) ) )
| ~ ( B @ ( D @ p4 ) )
| ( C @ ( B @ p4 ) ) ),
inference(simp,[status(thm)],[550]) ).
thf(552,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( A @ ( B @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[551:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] : ( A @ ( B @ f8 ) @ ( B @ ( A @ f8 ) @ f7 @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
thf(19,plain,
! [B: $i,A: $i] : ( A @ ( B @ f8 ) @ ( B @ ( A @ f8 ) @ f7 @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(107,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f8 ) @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[19,40]) ).
thf(108,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f8 ) @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(simp,[status(thm)],[107]) ).
thf(109,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ p4 ) ),
inference(pattern_uni,[status(thm)],[108:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( H @ ( I @ f8 ) @ f7 )),bind(D,$thf( I @ ( H @ f8 ) ))]]) ).
thf(112,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ p4 ) ),
inference(simp,[status(thm)],[109]) ).
thf(86,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) ) )
| ~ ( C @ ( B @ p10 ) )
| ~ $true
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[30,73]) ).
thf(87,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) ) )
| ~ ( C @ ( B @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) ),
inference(simp,[status(thm)],[86]) ).
thf(88,plain,
! [A: $i] :
( ~ ( c11 @ ( c12 @ f8 ) @ f7 @ f5 @ ( A @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[87:[bind(A,$thf( c11 @ ( c12 @ f8 ) )),bind(B,$thf( B )),bind(C,$thf( c11 @ ( c12 @ f8 ) @ f7 @ f5 ))]]) ).
thf(95,plain,
! [A: $i] :
( ~ ( c11 @ ( c12 @ f8 ) @ f7 @ f5 @ ( A @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[88]) ).
thf(18,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f6 ) @ ( B @ ( A @ f6 ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_18) ).
thf(31,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f6 ) @ ( B @ ( A @ f6 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f6 ) @ ( B @ ( A @ f6 ) @ p4 ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(13,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ f3 ) @ ( A @ p10 ) )
| ( C @ ( B @ ( A @ f9 ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_13) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ f3 ) @ ( A @ p10 ) )
| ( C @ ( B @ ( A @ f9 ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(165,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ ( B @ ( A @ f8 ) @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[35,47]) ).
thf(166,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ ( B @ ( A @ f8 ) @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(simp,[status(thm)],[165]) ).
thf(167,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f5 @ ( B @ ( A @ f8 ) @ f5 @ p2 ) ),
inference(pattern_uni,[status(thm)],[166:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( I @ ( G @ f8 ) )),bind(D,$thf( I @ f7 @ ( G @ f6 ) ))]]) ).
thf(189,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f5 @ ( B @ ( A @ f8 ) @ f5 @ p2 ) ),
inference(simp,[status(thm)],[167]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] : ( B @ f5 @ ( B @ ( A @ f6 ) @ f5 @ f3 ) @ ( A @ f5 @ p10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_10) ).
thf(20,plain,
! [B: $i,A: $i] : ( B @ f5 @ ( B @ ( A @ f6 ) @ f5 @ f3 ) @ ( A @ f5 @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) )
| ~ ( C @ ( B @ p10 ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[22,73]) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( B @ p2 ) ) )
| ~ ( C @ ( B @ p10 ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) ) ),
inference(simp,[status(thm)],[78]) ).
thf(80,plain,
! [A: $i] :
( ~ ( A @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[79:[bind(A,$thf( c12 @ f5 @ ( c11 @ f5 @ f9 ) )),bind(B,$thf( c12 @ f5 @ ( c11 @ f5 @ f9 ) )),bind(C,$thf( C ))]]) ).
thf(93,plain,
! [A: $i] :
( ~ ( A @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) )
| ~ ( c11 @ ( c12 @ f8 ) @ f5 @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[80]) ).
thf(145,plain,
! [B: $i,A: $i] :
( ( ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( B @ p2 ) ) )
| ~ ( B @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30,93]) ).
thf(146,plain,
! [B: $i,A: $i] :
( ( ( A @ f5 @ ( A @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( B @ p2 ) ) )
| ~ ( B @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(147,plain,
~ ( c11 @ ( c12 @ f8 ) @ f7 @ f5 @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ),
inference(pattern_uni,[status(thm)],[146:[bind(A,$thf( c11 @ ( c12 @ f8 ) )),bind(B,$thf( c11 @ ( c12 @ f8 ) @ f7 @ f5 ))]]) ).
thf(129,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[112,40]) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(131,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ p4 ) ),
inference(pattern_uni,[status(thm)],[130:[bind(A,$thf( J )),bind(B,$thf( K )),bind(C,$thf( J @ ( K @ f8 ) @ f7 @ f7 )),bind(D,$thf( K @ ( J @ f8 ) @ f7 ))]]) ).
thf(132,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ p4 ) ),
inference(simp,[status(thm)],[131]) ).
thf(183,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f8 ) @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[19,47]) ).
thf(184,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f8 ) @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(simp,[status(thm)],[183]) ).
thf(185,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f5 @ p2 ) ),
inference(pattern_uni,[status(thm)],[184:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( H @ ( I @ f8 ) @ f7 )),bind(D,$thf( I @ ( H @ f8 ) ))]]) ).
thf(190,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f5 @ p2 ) ),
inference(simp,[status(thm)],[185]) ).
thf(300,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) ) )
| ~ ( C @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[190,93]) ).
thf(301,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( C @ p2 ) ) )
| ~ ( C @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ) ),
inference(simp,[status(thm)],[300]) ).
thf(302,plain,
~ ( c12 @ ( c11 @ f8 ) @ f7 @ f5 @ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ p10 ) ),
inference(pattern_uni,[status(thm)],[301:[bind(A,$thf( c12 )),bind(B,$thf( c11 )),bind(C,$thf( c12 @ ( c11 @ f8 ) @ f7 @ f5 ))]]) ).
thf(171,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[132,47]) ).
thf(172,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(simp,[status(thm)],[171]) ).
thf(173,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f7 @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ f5 @ p2 ) ),
inference(pattern_uni,[status(thm)],[172:[bind(A,$thf( L )),bind(B,$thf( M )),bind(C,$thf( L @ ( M @ f8 ) @ f7 @ f7 @ f7 )),bind(D,$thf( M @ ( L @ f8 ) @ f7 @ f7 ))]]) ).
thf(192,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f7 @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ f5 @ p2 ) ),
inference(simp,[status(thm)],[173]) ).
thf(12,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( A @ f9 ) @ p10 ) )
| ( C @ ( B @ f3 ) @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_12) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( A @ f9 ) @ p10 ) )
| ( C @ ( B @ f3 ) @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(125,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[110,40]) ).
thf(126,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ ( B @ ( A @ f8 ) @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(simp,[status(thm)],[125]) ).
thf(127,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ p4 ) ),
inference(pattern_uni,[status(thm)],[126:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( K @ ( I @ f8 ) @ f7 )),bind(D,$thf( K @ f7 @ ( I @ f6 ) @ f7 ))]]) ).
thf(128,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ p4 ) ),
inference(simp,[status(thm)],[127]) ).
thf(158,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[132,40]) ).
thf(159,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(simp,[status(thm)],[158]) ).
thf(160,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ f7 @ p4 ) ),
inference(pattern_uni,[status(thm)],[159:[bind(A,$thf( L )),bind(B,$thf( M )),bind(C,$thf( L @ ( M @ f8 ) @ f7 @ f7 @ f7 )),bind(D,$thf( M @ ( L @ f8 ) @ f7 @ f7 ))]]) ).
thf(161,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f7 @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f7 @ f7 @ p4 ) ),
inference(simp,[status(thm)],[160]) ).
thf(16,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
thf(32,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f3 ) @ ( B @ ( A @ f3 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(8,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_8) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(168,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[112,47]) ).
thf(169,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f7 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(simp,[status(thm)],[168]) ).
thf(170,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f5 @ p2 ) ),
inference(pattern_uni,[status(thm)],[169:[bind(A,$thf( J )),bind(B,$thf( K )),bind(C,$thf( J @ ( K @ f8 ) @ f7 @ f7 )),bind(D,$thf( K @ ( J @ f8 ) @ f7 ))]]) ).
thf(191,plain,
! [B: $i,A: $i] : ( B @ ( A @ f8 ) @ f7 @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f7 @ f5 @ p2 ) ),
inference(simp,[status(thm)],[170]) ).
thf(559,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p4 ) )
!= ( A @ ( C @ p4 ) ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(eqfactor_ordered,[status(thm)],[38]) ).
thf(560,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p4 ) )
| ( A @ ( A @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[559:[bind(A,$thf( B ))]]) ).
thf(579,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p4 ) )
| ( A @ ( A @ p4 ) ) ),
inference(simp,[status(thm)],[560]) ).
thf(17,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[128,47]) ).
thf(175,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f5 @ ( C @ f5 @ p2 ) ) ),
inference(simp,[status(thm)],[174]) ).
thf(176,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ f5 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ f5 @ p2 ) ),
inference(pattern_uni,[status(thm)],[175:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( M @ ( K @ f8 ) @ f7 @ f7 )),bind(D,$thf( M @ f7 @ ( K @ f6 ) @ f7 @ f7 ))]]) ).
thf(186,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ f5 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ f5 @ p2 ) ),
inference(simp,[status(thm)],[176]) ).
thf(15,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_15) ).
thf(36,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(133,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[128,40]) ).
thf(134,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f7 @ ( C @ f7 @ p4 ) ) ),
inference(simp,[status(thm)],[133]) ).
thf(135,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ f7 @ p4 ) ),
inference(pattern_uni,[status(thm)],[134:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( M @ ( K @ f8 ) @ f7 @ f7 )),bind(D,$thf( M @ f7 @ ( K @ f6 ) @ f7 @ f7 ))]]) ).
thf(136,plain,
! [B: $i,A: $i] : ( B @ f7 @ ( A @ f6 ) @ f7 @ f7 @ f7 @ ( B @ ( A @ f8 ) @ f7 @ f7 @ f7 @ p4 ) ),
inference(simp,[status(thm)],[135]) ).
thf(101,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ~ $true
| ( D @ f7 @ ( C @ f7 @ p4 ) )
| ~ ( B @ ( A @ p4 ) ) ),
inference(paramod_ordered,[status(thm)],[40,40]) ).
thf(102,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ f7 @ ( A @ f7 @ p4 ) )
!= ( D @ ( C @ p4 ) ) )
| ( D @ f7 @ ( C @ f7 @ p4 ) )
| ~ ( B @ ( A @ p4 ) ) ),
inference(simp,[status(thm)],[101]) ).
thf(103,plain,
! [B: $i,A: $i] :
( ( B @ f7 @ f7 @ ( A @ f7 @ f7 @ p4 ) )
| ~ ( B @ ( A @ p4 ) ) ),
inference(pattern_uni,[status(thm)],[102:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E @ f7 )),bind(D,$thf( F @ f7 ))]]) ).
thf(111,plain,
! [B: $i,A: $i] :
( ( B @ f7 @ f7 @ ( A @ f7 @ f7 @ p4 ) )
| ~ ( B @ ( A @ p4 ) ) ),
inference(simp,[status(thm)],[103]) ).
thf(305,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( D @ p2 ) ) )
| ~ ( D @ ( C @ p10 ) )
| ~ $true
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( C @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[190,73]) ).
thf(306,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ f8 ) @ f5 @ ( A @ ( B @ f8 ) @ f7 @ f5 @ p2 ) )
!= ( c11 @ ( c12 @ f8 ) @ f5 @ ( D @ p2 ) ) )
| ~ ( D @ ( C @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( C @ p2 ) ) ),
inference(simp,[status(thm)],[305]) ).
thf(307,plain,
! [A: $i] :
( ~ ( c12 @ ( c11 @ f8 ) @ f7 @ f5 @ ( A @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[306:[bind(A,$thf( c12 )),bind(B,$thf( c11 )),bind(C,$thf( C )),bind(D,$thf( c12 @ ( c11 @ f8 ) @ f7 @ f5 ))]]) ).
thf(309,plain,
! [A: $i] :
( ~ ( c12 @ ( c11 @ f8 ) @ f7 @ f5 @ ( A @ p10 ) )
| ~ ( c12 @ f5 @ ( c11 @ f5 @ f9 ) @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[307]) ).
thf(1543,plain,
$false,
inference(e,[status(thm)],[110,361,188,552,35,112,95,31,43,47,42,24,37,25,189,20,93,29,147,132,302,192,21,33,28,38,73,128,161,32,34,191,22,579,27,40,26,186,23,36,30,190,19,136,94,111,309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN565-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.24/0.50 % Computer : n014.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Sat Sep 26 18:14:01 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.24/0.50 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.42/1.37 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.97/1.66 % [INFO] Parsing done (285ms).
% 1.97/1.68 % [INFO] Running in sequential loop mode.
% 3.13/2.31 % [INFO] eprover registered as external prover.
% 3.13/2.32 % [INFO] Scanning for conjecture ...
% 3.49/2.51 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.67/2.62 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.67/2.62 % [INFO] Problem is propositional (TPTP CNF).
% 3.67/2.62 % [INFO] Type checking passed.
% 3.67/2.63 % [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 ...
% 23.05/6.97 % External prover 'e' found a proof!
% 23.05/6.97 % [INFO] Killing All external provers ...
% 23.05/6.98 % Time passed: 6258ms (effective reasoning time: 5287ms)
% 23.05/6.98 % Axioms used in derivation (0):
% 23.05/6.98 % No. of inferences in proof: 131
% 23.05/6.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6258 ms resp. 5287 ms w/o parsing
% 24.50/7.16 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.50/7.16 % [INFO] Killing All external provers ...
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