%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN651-1 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:18:03 AM UTC 2026
% Result : Unsatisfiable 8.97s 3.58s
% Output : Refutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 45
% Syntax : Number of formulae : 141 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 364 ( 61 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1819 ( 218 ~; 185 |; 0 &;1416 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 33 usr; 13 con; 0-2 aty)
% Number of variables : 304 ( 0 ^; 304 !; 0 ?; 304 :)
% Comments :
%------------------------------------------------------------------------------
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p19_decl,type,
p19: $i > $i > $o ).
thf(p17_decl,type,
p17: $i > $i > $o ).
thf(p15_decl,type,
p15: $i > $i > $o ).
thf(p13_decl,type,
p13: $i > $i > $o ).
thf(p23_decl,type,
p23: $i > $i > $o ).
thf(f5_decl,type,
f5: $i > $i > $i ).
thf(c27_decl,type,
c27: $i ).
thf(c28_decl,type,
c28: $i ).
thf(c30_decl,type,
c30: $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(f10_decl,type,
f10: $i > $i > $i ).
thf(c24_decl,type,
c24: $i ).
thf(f12_decl,type,
f12: $i > $i > $i ).
thf(c25_decl,type,
c25: $i ).
thf(c26_decl,type,
c26: $i ).
thf(c29_decl,type,
c29: $i ).
thf(f16_decl,type,
f16: $i > $i > $i ).
thf(f14_decl,type,
f14: $i > $i > $i ).
thf(f20_decl,type,
f20: $i > $i > $i ).
thf(f18_decl,type,
f18: $i > $i > $i ).
thf(f22_decl,type,
f22: $i > $i > $i ).
thf(c32_decl,type,
c32: $i ).
thf(c33_decl,type,
c33: $i ).
thf(c34_decl,type,
c34: $i ).
thf(c31_decl,type,
c31: $i ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
thf(55,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,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_21) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(cnf,[status(esa)],[64]) ).
thf(161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( C @ ( D @ p2 ) ) )
| ~ $true
| ~ ( B @ ( D @ p2 ) )
| ( C @ ( B @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[55,95]) ).
thf(162,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p2 ) )
!= ( C @ ( D @ p2 ) ) )
| ~ ( B @ ( D @ p2 ) )
| ( C @ ( B @ p2 ) ) ),
inference(simp,[status(thm)],[161]) ).
thf(163,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( A @ ( B @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[162:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(164,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p2 ) )
!= ( A @ ( C @ p2 ) ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(eqfactor_ordered,[status(thm)],[95]) ).
thf(165,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ( A @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[164:[bind(A,$thf( B ))]]) ).
thf(166,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ( A @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[165]) ).
thf(247,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p2 ) )
!= ( C @ ( D @ p2 ) ) )
| ~ $true
| ( C @ ( C @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[163,166]) ).
thf(248,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p2 ) )
!= ( C @ ( D @ p2 ) ) )
| ( C @ ( C @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[247]) ).
thf(249,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[248:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(274,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( C @ ( C @ p2 ) )
| ~ $true
| ~ ( B @ ( A @ p2 ) ) ),
inference(paramod_ordered,[status(thm)],[163,249]) ).
thf(275,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p2 ) )
!= ( D @ ( C @ p2 ) ) )
| ( C @ ( C @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[274]) ).
thf(276,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ p2 ) )
| ~ ( B @ ( A @ p2 ) ) ),
inference(pattern_uni,[status(thm)],[275:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( A ))]]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
thf(56,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(52,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(43,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( D @ ( E @ ( B @ f5 ) @ p23 ) )
| ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_43) ).
thf(84,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( D @ ( E @ ( B @ f5 ) @ p23 ) )
| ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(12,negated_conjecture,
! [A: $i] : ( A @ ( A @ p13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_12) ).
thf(53,plain,
! [A: $i] : ( A @ ( A @ p13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(34,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
thf(73,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f5 ) @ ( B @ ( A @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).
thf(72,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f5 ) @ ( B @ ( A @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_23) ).
thf(87,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(41,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ ( B @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( D @ ( D @ ( A @ ( C @ ( B @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( A @ f5 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ ( B @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( D @ ( D @ ( A @ ( C @ ( B @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( A @ f5 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(36,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p17 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p15 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_36) ).
thf(88,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p17 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
thf(46,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(39,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ p3 ) )
| ( C @ ( B @ ( A @ ( c33 @ ( c32 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_39) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ p3 ) )
| ( C @ ( B @ ( A @ ( c33 @ ( c32 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(13,negated_conjecture,
c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_13) ).
thf(68,plain,
c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(91,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( D @ ( E @ ( B @ f5 ) @ p23 ) )
| ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(cnf,[status(esa)],[84]) ).
thf(28,negated_conjecture,
~ ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_28) ).
thf(66,plain,
~ ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(97,plain,
~ ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ),
inference(polarity_switch,[status(thm)],[66]) ).
thf(168,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) )
| ~ $true
| ~ ( E @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( D @ ( E @ ( B @ f5 ) @ p23 ) ) ),
inference(paramod_ordered,[status(thm)],[91,97]) ).
thf(169,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) )
| ~ ( E @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( D @ ( E @ ( B @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[168]) ).
thf(170,plain,
! [A: $i] :
( ~ ( A @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( c29 @ ( A @ ( c27 @ f5 ) @ p23 ) ) ),
inference(pattern_uni,[status(thm)],[169:[bind(A,$thf( c26 @ ( c25 @ f12 ) )),bind(B,$thf( c27 )),bind(C,$thf( c28 )),bind(D,$thf( c29 )),bind(E,$thf( E ))]]) ).
thf(204,plain,
! [A: $i] :
( ~ ( A @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( c29 @ ( A @ ( c27 @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[170]) ).
thf(393,plain,
! [A: $i] :
( ( ( A @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ) ) )
| ~ $true
| ~ ( c29 @ ( A @ ( c27 @ f5 ) @ p23 ) ) ),
inference(paramod_ordered,[status(thm)],[68,204]) ).
thf(394,plain,
! [A: $i] :
( ( ( A @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ) ) )
| ~ ( c29 @ ( A @ ( c27 @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[393]) ).
thf(400,plain,
! [A: $i] :
( ( A != c30 )
| ( ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) )
!= ( c28 @ ( c27 @ f5 ) ) )
| ~ ( c29 @ ( A @ ( c27 @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[394]) ).
thf(407,plain,
( ( ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) )
!= ( c28 @ ( c27 @ f5 ) ) )
| ~ ( c29 @ ( c30 @ ( c27 @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[400]) ).
thf(428,plain,
( ( ( c29 @ ( c30 @ ( c27 @ f5 ) @ p23 ) )
!= ( c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ) ) )
| ( ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) )
!= ( c28 @ ( c27 @ f5 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,407]) ).
thf(429,plain,
( ( ( c29 @ ( c30 @ ( c27 @ f5 ) @ p23 ) )
!= ( c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ) ) )
| ( ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) )
!= ( c28 @ ( c27 @ f5 ) ) ) ),
inference(simp,[status(thm)],[428]) ).
thf(432,plain,
( ( c29 != c30 )
| ( ( c30 @ ( c27 @ f5 ) )
!= ( c28 @ ( c27 @ f5 ) ) )
| ( c28 != c28 )
| ( ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) )
!= c27 ) ),
inference(simp,[status(thm)],[429]) ).
thf(448,plain,
( ( c29 != c30 )
| ( ( c30 @ ( c27 @ f5 ) )
!= ( c28 @ ( c27 @ f5 ) ) )
| ( ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) )
!= c27 ) ),
inference(simp,[status(thm)],[432]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_15) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(26,negated_conjecture,
c29 @ ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
thf(86,plain,
c29 @ ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(145,plain,
( ( ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c29 @ ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[86,97]) ).
thf(146,plain,
( ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c29 @ ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(150,plain,
( ( c29 != c29 )
| ( ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) )
!= ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) ) ) ),
inference(simp,[status(thm)],[146]) ).
thf(151,plain,
( ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) )
!= ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) ) ),
inference(simp,[status(thm)],[150]) ).
thf(212,plain,
( ( c30 != c28 )
| ( ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) )
!= ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) ) ) ),
inference(simp,[status(thm)],[151]) ).
thf(277,plain,
( ( c30 != c28 )
| ( c27 != c27 )
| ( ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) )
!= ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) ) ) ),
inference(simp,[status(thm)],[212]) ).
thf(278,plain,
( ( c30 != c28 )
| ( ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) )
!= ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) ) ) ),
inference(simp,[status(thm)],[277]) ).
thf(279,plain,
( ( c30 != c28 )
| ( ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) )
!= ( c26 @ ( c25 @ f12 ) ) )
| ( c24 != c24 ) ),
inference(simp,[status(thm)],[278]) ).
thf(280,plain,
( ( c30 != c28 )
| ( ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) )
!= ( c26 @ ( c25 @ f12 ) ) ) ),
inference(simp,[status(thm)],[279]) ).
thf(25,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_25) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p11 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_30) ).
thf(89,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p11 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p19 ) )
| ~ ( A @ ( C @ p19 ) )
| ( B @ ( A @ p19 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_22) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p19 ) )
| ~ ( A @ ( C @ p19 ) )
| ( B @ ( A @ p19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(37,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p21 ) )
| ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_37) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p21 ) )
| ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p13 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(40,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( A @ ( B @ ( c34 @ f22 ) @ f14 ) @ ( A @ ( c27 @ f5 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_40) ).
thf(85,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( A @ ( B @ ( c34 @ f22 ) @ f14 ) @ ( A @ ( c27 @ f5 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( D @ ( B @ ( C @ ( A @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_45) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( D @ ( B @ ( C @ ( A @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(92,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( D @ ( B @ ( C @ ( A @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(33,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p13 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
thf(65,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p13 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(122,plain,
( ( ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,97]) ).
thf(123,plain,
( ( c29 @ ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( c30 @ ( c28 @ ( c27 @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[122]) ).
thf(124,plain,
( ( c29 != c30 )
| ( ( c28 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) )
!= ( c28 @ ( c27 @ f5 ) ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_7) ).
thf(77,plain,
! [A: $i] : ( A @ ( A @ p21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_24) ).
thf(59,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_17) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(416,plain,
( ( c28 != c28 )
| ( ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) )
!= c27 )
| ~ ( c29 @ ( c30 @ ( c27 @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[407]) ).
thf(445,plain,
( ( ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) )
!= c27 )
| ~ ( c29 @ ( c30 @ ( c27 @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[416]) ).
thf(18,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_18) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
thf(49,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p23 ) )
| ~ ( A @ ( D @ p4 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_27) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p23 ) )
| ~ ( A @ ( D @ p4 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p23 ) )
| ~ ( A @ ( D @ p4 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p23 ) ) ),
inference(cnf,[status(esa)],[76]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_16) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(35,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p19 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_35) ).
thf(80,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p19 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_14) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p15 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_29) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p15 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p13 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
thf(50,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(38,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( C @ ( c33 @ ( c32 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_38) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( C @ ( c33 @ ( c32 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(336,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c29 @ ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) )
| ~ $true
| ( D @ ( B @ ( C @ ( A @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(paramod_ordered,[status(thm)],[86,92]) ).
thf(337,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( c29 @ ( c30 @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
!= ( D @ ( C @ ( B @ ( A @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) )
| ( D @ ( B @ ( C @ ( A @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( C @ ( B @ ( A @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(simp,[status(thm)],[336]) ).
thf(338,plain,
c29 @ ( c27 @ ( c30 @ ( c26 @ ( c31 @ f20 ) @ f18 ) @ f16 ) @ f14 ) @ ( c30 @ ( c27 @ ( c26 @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ),
inference(pattern_uni,[status(thm)],[337:[bind(A,$thf( c26 )),bind(B,$thf( c27 )),bind(C,$thf( c30 )),bind(D,$thf( c29 ))]]) ).
thf(44,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( c27 @ ( c26 @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( C @ ( A @ ( c27 @ f5 ) @ p23 ) )
| ( B @ ( A @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( c27 @ ( c26 @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ~ ( C @ ( A @ ( c27 @ f5 ) @ p23 ) )
| ( B @ ( A @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(42,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( A @ ( B @ ( A @ ( c34 @ f22 ) @ f14 ) @ ( c27 @ ( c26 @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_42) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) )
| ( A @ ( B @ ( A @ ( c34 @ f22 ) @ f14 ) @ ( c27 @ ( c26 @ ( c24 @ f10 ) @ f7 ) @ f5 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p8 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_31) ).
thf(82,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p8 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(314,plain,
( ( c30 != c28 )
| ( ( c26 @ ( c25 @ f12 ) )
!= c26 )
| ( c25 != c25 ) ),
inference(simp,[status(thm)],[280]) ).
thf(315,plain,
( ( c30 != c28 )
| ( ( c26 @ ( c25 @ f12 ) )
!= c26 ) ),
inference(simp,[status(thm)],[314]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_9) ).
thf(51,plain,
! [A: $i] : ( A @ ( A @ p19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(125,plain,
( ( c29 != c30 )
| ( c28 != c28 )
| ( ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) )
!= c27 ) ),
inference(simp,[status(thm)],[124]) ).
thf(126,plain,
( ( c29 != c30 )
| ( ( c27 @ ( c26 @ ( c25 @ f12 ) @ ( c25 @ f12 ) @ ( c24 @ f10 ) @ f7 ) )
!= c27 ) ),
inference(simp,[status(thm)],[125]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
thf(79,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_10) ).
thf(47,plain,
! [A: $i] : ( A @ ( A @ p17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_20) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(19,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_19) ).
thf(90,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_11) ).
thf(83,plain,
! [A: $i] : ( A @ ( A @ p15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(548,plain,
$false,
inference(e,[status(thm)],[276,56,52,84,53,73,72,87,55,69,249,88,46,78,448,57,280,61,89,74,60,85,70,407,92,65,97,124,77,212,166,64,59,204,71,445,54,49,86,113,81,76,91,66,278,80,48,63,95,50,67,338,75,58,82,151,315,51,126,79,47,163,68,62,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % 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
% 0.13/0.39 % Computer : n019.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 18:18:48 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.88/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.16 % [INFO] Parsing done (199ms).
% 1.26/1.18 % [INFO] Running in sequential loop mode.
% 1.88/1.57 % [INFO] eprover registered as external prover.
% 1.88/1.58 % [INFO] Scanning for conjecture ...
% 2.25/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.45/1.86 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.45/1.86 % [INFO] Problem is propositional (TPTP CNF).
% 2.45/1.86 % [INFO] Type checking passed.
% 2.45/1.87 % [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 ...
% 8.97/3.57 % External prover 'e' found a proof!
% 8.97/3.57 % [INFO] Killing All external provers ...
% 8.97/3.57 % Time passed: 3044ms (effective reasoning time: 2390ms)
% 8.97/3.58 % Axioms used in derivation (0):
% 8.97/3.58 % No. of inferences in proof: 141
% 8.97/3.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3044 ms resp. 2390 ms w/o parsing
% 8.49/3.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.49/3.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------