%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN592-1 : 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 : 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 09:17:55 AM UTC 2026
% Result : Unsatisfiable 62.04s 15.02s
% Output : Refutation 62.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 113 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 305 ( 60 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 976 ( 163 ~; 132 |; 0 &; 681 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 141 ( 0 ^; 141 !; 0 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
thf(p9_decl,type,
p9: $i > $o ).
thf(c14_decl,type,
c14: $i ).
thf(p8_decl,type,
p8: $i > $o ).
thf(c13_decl,type,
c13: $i ).
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(p10_decl,type,
p10: $i > $i > $o ).
thf(c15_decl,type,
c15: $i ).
thf(c17_decl,type,
c17: $i ).
thf(c16_decl,type,
c16: $i ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(f4_decl,type,
f4: $i > $i > $i ).
thf(c18_decl,type,
c18: $i ).
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(f5_decl,type,
f5: $i > $i ).
thf(f6_decl,type,
f6: $i > $i ).
thf(13,negated_conjecture,
~ ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).
thf(36,plain,
~ ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(69,plain,
~ ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) ),
inference(polarity_switch,[status(thm)],[36]) ).
thf(9,negated_conjecture,
c16 @ ( c13 @ p10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_9) ).
thf(35,plain,
c16 @ ( c13 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(16,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( c13 @ p10 ) )
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).
thf(43,plain,
! [A: $i] :
( ~ ( A @ ( c13 @ p10 ) )
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(59,plain,
! [A: $i] :
( ~ ( A @ ( c13 @ p10 ) )
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(168,plain,
! [A: $i] :
( ( ( c16 @ ( c13 @ p10 ) )
!= ( A @ ( c13 @ p10 ) ) )
| ~ $true
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(paramod_ordered,[status(thm)],[35,59]) ).
thf(169,plain,
! [A: $i] :
( ( ( c16 @ ( c13 @ p10 ) )
!= ( A @ ( c13 @ p10 ) ) )
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[168]) ).
thf(170,plain,
c16 @ ( c15 @ f4 ) @ ( c14 @ p11 ),
inference(pattern_uni,[status(thm)],[169:[bind(A,$thf( c16 ))]]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f4 ) @ ( B @ ( A @ f4 ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f4 ) @ ( B @ ( A @ f4 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f4 ) @ ( B @ ( A @ f4 ) @ p3 ) ) ),
inference(cnf,[status(esa)],[53]) ).
thf(27,negated_conjecture,
! [A: $i] :
( ~ ( c17 @ ( A @ f4 ) @ ( c14 @ p12 ) )
| ( c17 @ ( A @ f6 @ f4 ) @ ( c13 @ p11 ) )
| ( A @ f6 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).
thf(52,plain,
! [A: $i] :
( ~ ( c17 @ ( A @ f4 ) @ ( c14 @ p12 ) )
| ( c17 @ ( A @ f6 @ f4 ) @ ( c13 @ p11 ) )
| ( A @ f6 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p10 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_23) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p10 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(65,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p10 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p10 ) ) ),
inference(cnf,[status(esa)],[54]) ).
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(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p7 ) )
| ~ ( B @ p9 )
| ( A @ p9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_15) ).
thf(48,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p7 ) )
| ~ ( B @ p9 )
| ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(7,negated_conjecture,
c15 @ ( c13 @ p10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
thf(40,plain,
c15 @ ( c13 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(181,plain,
! [A: $i] :
( ( ( c15 @ ( c13 @ p10 ) )
!= ( A @ ( c13 @ p10 ) ) )
| ~ $true
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(paramod_ordered,[status(thm)],[40,59]) ).
thf(182,plain,
! [A: $i] :
( ( ( c15 @ ( c13 @ p10 ) )
!= ( A @ ( c13 @ p10 ) ) )
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[181]) ).
thf(183,plain,
c15 @ ( c15 @ f4 ) @ ( c14 @ p11 ),
inference(pattern_uni,[status(thm)],[182:[bind(A,$thf( c15 ))]]) ).
thf(12,negated_conjecture,
~ ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
thf(39,plain,
~ ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(57,plain,
~ ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ),
inference(polarity_switch,[status(thm)],[39]) ).
thf(212,plain,
( ( ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) )
!= ( c15 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[183,57]) ).
thf(213,plain,
( ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) )
!= ( c15 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[212]) ).
thf(215,plain,
( ( ( c18 @ f5 @ ( c17 @ f4 ) )
!= ( c15 @ ( c15 @ f4 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[213]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
thf(42,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(2,negated_conjecture,
c13 @ p8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13_is_p8_2) ).
thf(37,plain,
c13 @ p8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,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_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(11,negated_conjecture,
c17 @ ( c18 @ f4 ) @ ( c14 @ p12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
thf(44,plain,
c17 @ ( c18 @ f4 ) @ ( c14 @ p12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(55,plain,
! [A: $i] :
( ~ ( c17 @ ( A @ f4 ) @ ( c14 @ p12 ) )
| ( c17 @ ( A @ f6 @ f4 ) @ ( c13 @ p11 ) )
| ( A @ f6 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(150,plain,
! [A: $i] :
( ( ( c17 @ ( c18 @ f4 ) @ ( c14 @ p12 ) )
!= ( c17 @ ( A @ f4 ) @ ( c14 @ p12 ) ) )
| ~ $true
| ( c17 @ ( A @ f6 @ f4 ) @ ( c13 @ p11 ) )
| ( A @ f6 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ) ),
inference(paramod_ordered,[status(thm)],[44,55]) ).
thf(151,plain,
! [A: $i] :
( ( ( c17 @ ( c18 @ f4 ) @ ( c14 @ p12 ) )
!= ( c17 @ ( A @ f4 ) @ ( c14 @ p12 ) ) )
| ( c17 @ ( A @ f6 @ f4 ) @ ( c13 @ p11 ) )
| ( A @ f6 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ) ),
inference(simp,[status(thm)],[150]) ).
thf(152,plain,
( ( c17 @ ( c18 @ f6 @ f4 ) @ ( c13 @ p11 ) )
| ( c18 @ f6 @ ( c17 @ f4 ) @ ( c13 @ p11 ) ) ),
inference(pattern_uni,[status(thm)],[151:[bind(A,$thf( c18 ))]]) ).
thf(76,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p10 ) )
!= ( G @ ( H @ p10 ) ) )
| ~ $true
| ~ ( E @ ( H @ p7 ) )
| ~ ( F @ ( G @ p2 ) )
| ( F @ ( E @ p10 ) )
| ~ ( C @ ( D @ p10 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[65,65]) ).
thf(77,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ p10 ) )
!= ( G @ ( H @ p10 ) ) )
| ~ ( E @ ( H @ p7 ) )
| ~ ( F @ ( G @ p2 ) )
| ( F @ ( E @ p10 ) )
| ~ ( C @ ( D @ p10 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p2 ) ) ),
inference(simp,[status(thm)],[76]) ).
thf(78,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( A @ p7 ) )
| ~ ( F @ ( B @ p2 ) )
| ( F @ ( E @ p10 ) )
| ~ ( C @ ( D @ p10 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[77:[bind(A,$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( B )),bind(H,$thf( A ))]]) ).
thf(10,negated_conjecture,
~ ( c15 @ ( c17 @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_10) ).
thf(29,plain,
~ ( c15 @ ( c17 @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( c14 @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_6) ).
thf(33,plain,
! [A: $i] : ( A @ ( c14 @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
thf(28,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
thf(38,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(176,plain,
! [B: $i,A: $i] :
( ( ( A @ ( c14 @ p10 ) )
!= ( B @ ( c13 @ p10 ) ) )
| ~ $true
| ( B @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(paramod_ordered,[status(thm)],[33,59]) ).
thf(177,plain,
! [B: $i,A: $i] :
( ( ( A @ ( c14 @ p10 ) )
!= ( B @ ( c13 @ p10 ) ) )
| ( B @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[176]) ).
thf(186,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( c13 != c14 )
| ( B @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[177]) ).
thf(188,plain,
! [A: $i] :
( ( c13 != c14 )
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[186]) ).
thf(8,negated_conjecture,
c17 @ ( c13 @ p10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_8) ).
thf(45,plain,
c17 @ ( c13 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(178,plain,
! [A: $i] :
( ( ( c17 @ ( c13 @ p10 ) )
!= ( A @ ( c13 @ p10 ) ) )
| ~ $true
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(paramod_ordered,[status(thm)],[45,59]) ).
thf(179,plain,
! [A: $i] :
( ( ( c17 @ ( c13 @ p10 ) )
!= ( A @ ( c13 @ p10 ) ) )
| ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[178]) ).
thf(180,plain,
c17 @ ( c15 @ f4 ) @ ( c14 @ p11 ),
inference(pattern_uni,[status(thm)],[179:[bind(A,$thf( c17 ))]]) ).
thf(1,negated_conjecture,
c14 @ p9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14_is_p9_1) ).
thf(32,plain,
c14 @ p9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(21,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_21) ).
thf(34,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 @ ( D @ p12 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p12 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(230,plain,
! [A: $i] :
( ( ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) )
!= ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) ) )
| ~ $true
| ( c13 != c14 ) ),
inference(paramod_ordered,[status(thm)],[188,69]) ).
thf(231,plain,
! [A: $i] :
( ( ( A @ ( c15 @ f4 ) @ ( c14 @ p11 ) )
!= ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[230]) ).
thf(234,plain,
! [A: $i] :
( ( ( A @ ( c15 @ f4 ) )
!= ( c17 @ ( c18 @ f5 @ f4 ) ) )
| ( c13 != c14 )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[231]) ).
thf(236,plain,
! [A: $i] :
( ( ( A @ ( c15 @ f4 ) )
!= ( c17 @ ( c18 @ f5 @ f4 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[234]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p7 ) )
| ~ ( B @ p9 )
| ( A @ p9 ) ),
inference(cnf,[status(esa)],[48]) ).
thf(243,plain,
! [B: $i,A: $i] :
( ( ( c14 @ p9 )
!= ( B @ p9 ) )
| ~ ( A @ ( B @ p7 ) )
| ~ $true
| ( A @ p9 ) ),
inference(paramod_ordered,[status(thm)],[32,58]) ).
thf(244,plain,
! [B: $i,A: $i] :
( ( ( c14 @ p9 )
!= ( B @ p9 ) )
| ~ ( A @ ( B @ p7 ) )
| ( A @ p9 ) ),
inference(simp,[status(thm)],[243]) ).
thf(245,plain,
! [A: $i] :
( ~ ( A @ ( c14 @ p7 ) )
| ( A @ p9 ) ),
inference(pattern_uni,[status(thm)],[244:[bind(A,$thf( A )),bind(B,$thf( c14 ))]]) ).
thf(204,plain,
( ( ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) )
!= ( c17 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[180,69]) ).
thf(205,plain,
( ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) )
!= ( c17 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[204]) ).
thf(208,plain,
( ( ( c17 @ ( c18 @ f5 @ f4 ) )
!= ( c17 @ ( c15 @ f4 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[205]) ).
thf(206,plain,
( ( ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) )
!= ( c17 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[180,57]) ).
thf(207,plain,
( ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) )
!= ( c17 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[206]) ).
thf(209,plain,
( ( ( c18 @ f5 @ ( c17 @ f4 ) )
!= ( c17 @ ( c15 @ f4 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[207]) ).
thf(190,plain,
( ( ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) )
!= ( c16 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[170,69]) ).
thf(191,plain,
( ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) )
!= ( c16 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[190]) ).
thf(194,plain,
( ( ( c17 @ ( c18 @ f5 @ f4 ) )
!= ( c16 @ ( c15 @ f4 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[191]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p11 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p11 ) )
| ~ ( A @ ( D @ p7 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,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_20) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
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,
~ ( c15 @ ( c17 @ p2 ) ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(72,plain,
! [A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( c15 @ ( c17 @ p2 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[47,62]) ).
thf(73,plain,
! [A: $i] :
( ( A @ ( A @ p2 ) )
!= ( c15 @ ( c17 @ p2 ) ) ),
inference(simp,[status(thm)],[72]) ).
thf(74,plain,
! [A: $i] :
( ( A != c15 )
| ( A != c17 ) ),
inference(simp,[status(thm)],[73]) ).
thf(75,plain,
c17 != c15,
inference(simp,[status(thm)],[74]) ).
thf(210,plain,
( ( ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) )
!= ( c15 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[183,69]) ).
thf(211,plain,
( ( c17 @ ( c18 @ f5 @ f4 ) @ ( c13 @ p11 ) )
!= ( c15 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[210]) ).
thf(214,plain,
( ( ( c17 @ ( c18 @ f5 @ f4 ) )
!= ( c15 @ ( c15 @ f4 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[211]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p7 ) )
| ~ ( B @ p8 )
| ( A @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_14) ).
thf(30,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p7 ) )
| ~ ( B @ p8 )
| ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,negated_conjecture,
! [A: $i] :
( ~ ( c17 @ ( A @ f4 ) @ ( c14 @ p12 ) )
| ( A @ f5 @ ( A @ f6 @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).
thf(51,plain,
! [A: $i] :
( ~ ( c17 @ ( A @ f4 ) @ ( c14 @ p12 ) )
| ( A @ f5 @ ( A @ f6 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(238,plain,
( ( c17 != c17 )
| ( ( c18 @ f5 )
!= c15 )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[208]) ).
thf(239,plain,
( ( ( c18 @ f5 )
!= c15 )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[238]) ).
thf(192,plain,
( ( ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) )
!= ( c16 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[170,57]) ).
thf(193,plain,
( ( c18 @ f5 @ ( c17 @ f4 ) @ ( c13 @ p11 ) )
!= ( c16 @ ( c15 @ f4 ) @ ( c14 @ p11 ) ) ),
inference(simp,[status(thm)],[192]) ).
thf(195,plain,
( ( ( c18 @ f5 @ ( c17 @ f4 ) )
!= ( c16 @ ( c15 @ f4 ) ) )
| ( c13 != c14 ) ),
inference(simp,[status(thm)],[193]) ).
thf(20432,plain,
$false,
inference(e,[status(thm)],[69,170,56,52,65,41,35,48,43,215,42,37,46,152,57,78,29,33,28,38,188,53,45,180,32,34,44,59,54,49,236,245,39,208,209,194,50,31,40,55,75,58,214,36,30,51,183,239,195,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN592-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % 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 18:15:36 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 1.03/1.20 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.46 % [INFO] Parsing done (249ms).
% 1.30/1.47 % [INFO] Running in sequential loop mode.
% 1.98/1.93 % [INFO] eprover registered as external prover.
% 1.98/1.94 % [INFO] Scanning for conjecture ...
% 2.18/2.12 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.40/2.21 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.40/2.21 % [INFO] Problem is propositional (TPTP CNF).
% 2.40/2.22 % [INFO] Type checking passed.
% 2.40/2.22 % [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 ...
% 62.04/15.01 % External prover 'e' found a proof!
% 62.04/15.01 % [INFO] Killing All external provers ...
% 62.04/15.01 % Time passed: 14381ms (effective reasoning time: 13528ms)
% 62.04/15.02 % Axioms used in derivation (0):
% 62.04/15.02 % No. of inferences in proof: 113
% 62.04/15.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 14381 ms resp. 13528 ms w/o parsing
% 62.77/15.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 62.77/15.08 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------