%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN687-1 : 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 : n009.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 09:18:09 AM UTC 2026
% Result : Unsatisfiable 24.36s 6.19s
% Output : Refutation 21.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 60
% Syntax : Number of formulae : 159 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 456 ( 49 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 3180 ( 273 ~; 271 |; 0 &;2636 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 46 usr; 14 con; 0-2 aty)
% Number of variables : 425 ( 0 ^; 425 !; 0 ?; 425 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $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(p33_decl,type,
p33: $i > $i > $o ).
thf(p31_decl,type,
p31: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p29_decl,type,
p29: $i > $i > $o ).
thf(p27_decl,type,
p27: $i > $i > $o ).
thf(p25_decl,type,
p25: $i > $i > $o ).
thf(p23_decl,type,
p23: $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(p11_decl,type,
p11: $i > $i > $o ).
thf(p34_decl,type,
p34: $i > $i > $o ).
thf(c36_decl,type,
c36: $i ).
thf(c37_decl,type,
c37: $i ).
thf(p35_decl,type,
p35: $i > $i > $o ).
thf(f5_decl,type,
f5: $i > $i > $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(c38_decl,type,
c38: $i ).
thf(f9_decl,type,
f9: $i > $i > $i ).
thf(c39_decl,type,
c39: $i ).
thf(f12_decl,type,
f12: $i > $i > $i ).
thf(f20_decl,type,
f20: $i > $i > $i ).
thf(f30_decl,type,
f30: $i > $i > $i ).
thf(f14_decl,type,
f14: $i > $i > $i ).
thf(f32_decl,type,
f32: $i > $i > $i ).
thf(f28_decl,type,
f28: $i > $i > $i ).
thf(f24_decl,type,
f24: $i > $i > $i ).
thf(f26_decl,type,
f26: $i > $i > $i ).
thf(f22_decl,type,
f22: $i > $i > $i ).
thf(f18_decl,type,
f18: $i > $i > $i ).
thf(f16_decl,type,
f16: $i > $i > $i ).
thf(c40_decl,type,
c40: $i ).
thf(c46_decl,type,
c46: $i ).
thf(c47_decl,type,
c47: $i ).
thf(c45_decl,type,
c45: $i ).
thf(c42_decl,type,
c42: $i ).
thf(c43_decl,type,
c43: $i ).
thf(c41_decl,type,
c41: $i ).
thf(c44_decl,type,
c44: $i ).
thf(26,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_26) ).
thf(110,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(40,negated_conjecture,
! [A: $i] :
~ ( A @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ f5 ) @ ( A @ ( c38 @ f7 ) @ ( A @ f5 ) @ p4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_40) ).
thf(109,plain,
! [A: $i] :
~ ( A @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ f5 ) @ ( A @ ( c38 @ f7 ) @ ( A @ f5 ) @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(141,plain,
! [A: $i] :
~ ( A @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ f5 ) @ ( A @ ( c38 @ f7 ) @ ( A @ f5 ) @ p4 ) ),
inference(polarity_switch,[status(thm)],[109]) ).
thf(19,negated_conjecture,
c37 @ ( c36 @ p34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).
thf(118,plain,
c37 @ ( c36 @ p34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(33,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p19 ) )
| ~ ( A @ ( C @ p19 ) )
| ( B @ ( A @ p19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_33) ).
thf(80,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p19 ) )
| ~ ( A @ ( C @ p19 ) )
| ( B @ ( A @ p19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(42,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p19 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_42) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p19 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(14,negated_conjecture,
! [A: $i] : ( A @ ( A @ p19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_14) ).
thf(72,plain,
! [A: $i] : ( A @ ( A @ p19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(58,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( c45 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ ( B @ ( A @ ( c45 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ p4 ) )
| ~ ( A @ ( c36 @ p34 ) )
| ( C @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( c45 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ ( B @ ( A @ ( c45 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ p4 ) )
| ~ ( A @ ( c36 @ p34 ) )
| ( C @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(37,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_37) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(35,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_35) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(17,negated_conjecture,
! [A: $i] : ( A @ ( A @ p13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_17) ).
thf(88,plain,
! [A: $i] : ( A @ ( A @ p13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(60,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_60) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(131,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(cnf,[status(esa)],[78]) ).
thf(166,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) @ p4 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(eqfactor_ordered,[status(thm)],[131]) ).
thf(170,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[166]) ).
thf(36,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_36) ).
thf(115,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(15,negated_conjecture,
! [A: $i] : ( A @ ( A @ p17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_15) ).
thf(120,plain,
! [A: $i] : ( A @ ( A @ p17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(59,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( E @ ( C @ f12 ) @ p35 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( E @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ f5 ) @ ( E @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_59) ).
thf(93,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( E @ ( C @ f12 ) @ p35 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( E @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ f5 ) @ ( E @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(25,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_25) ).
thf(70,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(122,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(472,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p31 ) )
!= ( A @ ( C @ p31 ) ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
inference(eqfactor_ordered,[status(thm)],[122]) ).
thf(473,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p31 ) )
| ( A @ ( A @ p31 ) ) ),
inference(pattern_uni,[status(thm)],[472:[bind(A,$thf( B ))]]) ).
thf(475,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p31 ) )
| ( A @ ( A @ p31 ) ) ),
inference(simp,[status(thm)],[473]) ).
thf(31,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_31) ).
thf(106,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(cnf,[status(esa)],[110]) ).
thf(53,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p17 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_53) ).
thf(84,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p17 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p33 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_5) ).
thf(61,plain,
! [A: $i] : ( A @ ( A @ p33 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(32,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_32) ).
thf(89,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(30,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p23 ) )
| ~ ( A @ ( C @ p23 ) )
| ( B @ ( A @ p23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_30) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p23 ) )
| ~ ( A @ ( C @ p23 ) )
| ( B @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(46,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/sandbox/benchmark/theBenchmark.p',p3_46) ).
thf(74,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)],[46]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p25 ) )
| ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_51) ).
thf(117,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p25 ) )
| ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
thf(98,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(437,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( C @ ( D @ p3 ) ) )
| ~ $true
| ~ ( B @ ( D @ p3 ) )
| ( C @ ( B @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[98,121]) ).
thf(438,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p3 ) )
!= ( C @ ( D @ p3 ) ) )
| ~ ( B @ ( D @ p3 ) )
| ( C @ ( B @ p3 ) ) ),
inference(simp,[status(thm)],[437]) ).
thf(439,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( A @ ( B @ p3 ) ) ),
inference(pattern_uni,[status(thm)],[438:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(13,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
thf(85,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(48,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p27 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p25 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_48) ).
thf(102,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p27 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(227,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) )
!= ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(eqfactor_ordered,[status(thm)],[170]) ).
thf(246,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) )
!= ( D @ ( C @ ( c41 @ f32 ) @ f30 ) ) )
| ( ( A @ ( D @ f9 ) )
!= ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[227]) ).
thf(310,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) )
!= ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ( ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) )
!= ( D @ ( C @ ( c41 @ f32 ) @ f30 ) ) )
| ( ( A @ ( D @ f9 ) )
!= ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(eqfactor_ordered,[status(thm)],[246]) ).
thf(323,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) )
!= ( D @ ( C @ ( c41 @ f32 ) @ f30 ) ) )
| ( A
!= ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) ) )
| ( ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f9 ) )
!= A )
| ( ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) )
!= ( D @ ( C @ ( c41 @ f32 ) @ f30 ) ) )
| ( ( A @ ( D @ f9 ) )
!= ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) ) )
| ( ( D @ ( C @ ( c41 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c42 @ f28 ) @ f26 ) @ ( D @ f9 ) @ f5 ) )
!= ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( B @ f5 ) @ p4 ) )
| ~ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( D @ f9 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( C @ ( c36 @ p34 ) )
| ( B @ ( A @ p2 ) ) ),
inference(simp,[status(thm)],[310]) ).
thf(387,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) )
!= ( C @ ( B @ ( c42 @ f28 ) @ f26 ) @ ( C @ f9 ) ) )
| ( ( C @ ( B @ ( c41 @ f32 ) @ f30 ) )
!= ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) ) )
| ( ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) )
!= ( C @ ( B @ ( c41 @ f32 ) @ f30 ) ) )
| ( ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ f9 ) )
!= ( C @ ( B @ ( c42 @ f28 ) @ f26 ) @ ( C @ f9 ) ) )
| ( ( C @ ( B @ ( c41 @ f32 ) @ f30 ) @ ( C @ ( B @ ( c42 @ f28 ) @ f26 ) @ ( C @ f9 ) @ f5 ) )
!= ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ f5 ) ) )
| ~ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( C @ f9 ) @ f5 ) @ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ f9 ) @ f5 ) @ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ f5 ) @ p4 ) )
| ~ ( B @ ( c36 @ p34 ) )
| ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ p2 ) ) ),
inference(simp,[status(thm)],[323]) ).
thf(561,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) )
!= ( C @ ( B @ ( c42 @ f28 ) @ f26 ) @ ( C @ f9 ) ) )
| ( ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) )
!= ( C @ ( B @ ( c41 @ f32 ) @ f30 ) ) )
| ( ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ f9 ) )
!= ( C @ ( B @ ( c42 @ f28 ) @ f26 ) @ ( C @ f9 ) ) )
| ( ( C @ ( B @ ( c41 @ f32 ) @ f30 ) @ ( C @ ( B @ ( c42 @ f28 ) @ f26 ) @ ( C @ f9 ) @ f5 ) )
!= ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ f5 ) ) )
| ~ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ ( C @ f9 ) @ f5 ) @ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( A @ f5 ) @ p4 ) )
| ~ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ f9 ) @ f5 ) @ ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ ( C @ ( B @ ( c44 @ f24 ) @ f22 ) @ f20 ) @ f7 ) @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ f5 ) @ p4 ) )
| ~ ( B @ ( c36 @ p34 ) )
| ( A @ ( C @ ( B @ ( c43 @ f28 ) @ f26 ) @ ( C @ f9 ) @ p2 ) ) ),
inference(simp,[status(thm)],[387]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
thf(64,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(175,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ p4 ) )
!= ( B @ ( c38 @ f7 ) @ ( B @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( c38 @ f7 ) @ ( B @ f5 ) @ p4 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[64,141]) ).
thf(176,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ p4 ) )
!= ( B @ ( c38 @ f7 ) @ ( B @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( c38 @ f7 ) @ ( B @ f5 ) @ p4 ) ) ),
inference(simp,[status(thm)],[175]) ).
thf(183,plain,
! [B: $i,A: $i] :
( ( A
!= ( B @ ( c38 @ f7 ) @ ( B @ ( c39 @ f9 ) @ f5 ) ) )
| ( A
!= ( B @ ( c38 @ f7 ) @ ( B @ f5 ) ) ) ),
inference(simp,[status(thm)],[176]) ).
thf(187,plain,
! [A: $i] :
( ( A @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ f5 ) )
!= ( A @ ( c38 @ f7 ) @ ( A @ f5 ) ) ),
inference(simp,[status(thm)],[183]) ).
thf(191,plain,
! [A: $i] :
( ( ( A @ ( c38 @ f7 ) )
!= ( A @ ( c38 @ f7 ) ) )
| ( ( A @ ( c39 @ f9 ) )
!= A ) ),
inference(simp,[status(thm)],[187]) ).
thf(192,plain,
! [A: $i] :
( ( A @ ( c39 @ f9 ) )
!= A ),
inference(simp,[status(thm)],[191]) ).
thf(44,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_44) ).
thf(92,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p25 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_10) ).
thf(65,plain,
! [A: $i] : ( A @ ( A @ p25 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(49,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p23 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_49) ).
thf(97,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p23 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p31 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_6) ).
thf(77,plain,
! [A: $i] : ( A @ ( A @ p31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(54,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/sandbox/benchmark/theBenchmark.p',p13_54) ).
thf(96,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)],[54]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_20) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(16,negated_conjecture,
! [A: $i] : ( A @ ( A @ p15 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_16) ).
thf(105,plain,
! [A: $i] : ( A @ ( A @ p15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(55,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( B @ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( c37 @ f12 ) @ p35 ) )
| ( B @ ( C @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f9 ) @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_55) ).
thf(111,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( c37 @ f12 ) @ p35 ) )
| ( B @ ( C @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f9 ) @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(161,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( c37 @ f12 ) @ p35 ) )
| ( B @ ( C @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f9 ) @ f5 ) @ p4 ) ) ),
inference(cnf,[status(esa)],[111]) ).
thf(193,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f9 ) @ f5 ) @ p4 ) )
!= ( D @ ( c38 @ f7 ) @ ( D @ ( c39 @ f9 ) @ f5 ) @ ( D @ ( c38 @ f7 ) @ ( D @ f5 ) @ p4 ) ) )
| ~ $true
| ( B @ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( c37 @ f12 ) @ p35 ) ) ),
inference(paramod_ordered,[status(thm)],[161,141]) ).
thf(194,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f9 ) @ f5 ) @ p4 ) )
!= ( D @ ( c38 @ f7 ) @ ( D @ ( c39 @ f9 ) @ f5 ) @ ( D @ ( c38 @ f7 ) @ ( D @ f5 ) @ p4 ) ) )
| ( B @ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( c37 @ f12 ) @ p35 ) ) ),
inference(simp,[status(thm)],[193]) ).
thf(195,plain,
! [A: $i] : ( A @ ( c39 @ f9 ) @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( c37 @ f12 ) @ p35 ) ),
inference(pattern_uni,[status(thm)],[194:[bind(A,$thf( L )),bind(B,$thf( L @ ( c39 @ f9 ) @ ( c38 @ f7 ) )),bind(C,$thf( L @ ( c39 @ f9 ) )),bind(D,$thf( L @ ( c39 @ f9 ) ))]]) ).
thf(205,plain,
! [A: $i] : ( A @ ( c39 @ f9 ) @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ ( c38 @ f7 ) @ ( A @ ( c39 @ f9 ) @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( c37 @ f12 ) @ p35 ) ),
inference(simp,[status(thm)],[195]) ).
thf(52,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p21 ) )
| ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_52) ).
thf(71,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p21 ) )
| ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(41,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_41) ).
thf(86,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p29 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_8) ).
thf(113,plain,
! [A: $i] : ( A @ ( A @ p29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(28,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p27 ) )
| ~ ( A @ ( C @ p27 ) )
| ( B @ ( A @ p27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_28) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p27 ) )
| ~ ( A @ ( C @ p27 ) )
| ( B @ ( A @ p27 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(29,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p25 ) )
| ~ ( A @ ( C @ p25 ) )
| ( B @ ( A @ p25 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_29) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p25 ) )
| ~ ( A @ ( C @ p25 ) )
| ( B @ ( A @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(18,negated_conjecture,
! [A: $i] : ( A @ ( A @ p11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).
thf(103,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_22) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(56,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( C @ f5 ) @ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( A @ f5 ) @ p4 ) )
| ( B @ ( C @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f9 ) @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_56) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( C @ f5 ) @ ( B @ ( C @ ( A @ ( c40 @ f18 ) @ f16 ) @ f14 ) @ ( A @ f5 ) @ p4 ) )
| ( B @ ( C @ ( c39 @ f9 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f9 ) @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(43,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/sandbox/benchmark/theBenchmark.p',p4_43) ).
thf(108,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)],[43]) ).
thf(440,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( B @ ( C @ p3 ) )
!= ( A @ ( C @ p3 ) ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(eqfactor_ordered,[status(thm)],[121]) ).
thf(441,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p3 ) )
| ( A @ ( A @ p3 ) ) ),
inference(pattern_uni,[status(thm)],[440:[bind(A,$thf( B ))]]) ).
thf(442,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p3 ) )
| ( A @ ( A @ p3 ) ) ),
inference(simp,[status(thm)],[441]) ).
thf(488,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p3 ) )
!= ( C @ ( D @ p3 ) ) )
| ~ $true
| ( C @ ( C @ p3 ) )
| ~ ( B @ ( A @ p3 ) ) ),
inference(paramod_ordered,[status(thm)],[439,442]) ).
thf(489,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ p3 ) )
!= ( C @ ( D @ p3 ) ) )
| ( C @ ( C @ p3 ) )
| ~ ( B @ ( A @ p3 ) ) ),
inference(simp,[status(thm)],[488]) ).
thf(490,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ p3 ) )
| ~ ( B @ ( A @ p3 ) ) ),
inference(pattern_uni,[status(thm)],[489:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_23) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
thf(63,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,negated_conjecture,
! [A: $i] : ( A @ ( A @ p21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_12) ).
thf(95,plain,
! [A: $i] : ( A @ ( A @ p21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(463,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p31 ) )
!= ( C @ ( D @ p31 ) ) )
| ~ $true
| ~ ( B @ ( D @ p31 ) )
| ( C @ ( B @ p31 ) ) ),
inference(paramod_ordered,[status(thm)],[77,122]) ).
thf(464,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ p31 ) )
!= ( C @ ( D @ p31 ) ) )
| ~ ( B @ ( D @ p31 ) )
| ( C @ ( B @ p31 ) ) ),
inference(simp,[status(thm)],[463]) ).
thf(465,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p31 ) )
| ( A @ ( B @ p31 ) ) ),
inference(pattern_uni,[status(thm)],[464:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(39,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p34 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p34 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_39) ).
thf(99,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( D @ ( C @ p34 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p34 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p29 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_45) ).
thf(87,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p29 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(50,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p8 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_50) ).
thf(104,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p8 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(57,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( c45 @ f32 ) @ f30 ) @ ( C @ ( A @ f12 ) @ p35 ) )
| ~ ( A @ ( c36 @ p34 ) )
| ( D @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ ( D @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
| ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( c45 @ f32 ) @ f30 ) @ ( C @ ( A @ f12 ) @ p35 ) )
| ~ ( A @ ( c36 @ p34 ) )
| ( D @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ ( B @ f9 ) @ f5 ) @ ( D @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
| ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c46 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(47,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p31 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p29 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_47) ).
thf(119,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p31 ) )
| ~ ( D @ ( B @ p10 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(38,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p11 ) )
| ~ ( C @ ( D @ p35 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p35 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_38) ).
thf(82,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p11 ) )
| ~ ( C @ ( D @ p35 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_11) ).
thf(107,plain,
! [A: $i] : ( A @ ( A @ p23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_21) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(27,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p29 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p29 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_27) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p29 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p33 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_24) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p33 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(62,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p27 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_9) ).
thf(83,plain,
! [A: $i] : ( A @ ( A @ p27 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
thf(100,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(34,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_34) ).
thf(90,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p17 ) )
| ~ ( A @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(1392,plain,
$false,
inference(e,[status(thm)],[110,141,118,80,67,72,114,69,101,88,170,115,120,93,78,475,106,121,84,61,89,116,74,117,439,85,102,561,70,192,92,65,97,109,77,96,73,105,205,161,64,71,86,187,113,81,76,98,103,91,66,108,490,112,63,95,465,99,87,104,75,119,246,82,107,79,94,131,68,62,442,122,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.39 % Computer : n009.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 18:20:14 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.88/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.19 % [INFO] Parsing done (217ms).
% 1.52/1.20 % [INFO] Running in sequential loop mode.
% 2.24/1.62 % [INFO] eprover registered as external prover.
% 2.24/1.63 % [INFO] Scanning for conjecture ...
% 2.60/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.86/2.00 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.86/2.00 % [INFO] Problem is propositional (TPTP CNF).
% 2.86/2.01 % [INFO] Type checking passed.
% 2.86/2.01 % [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 ...
% 24.36/6.18 % External prover 'e' found a proof!
% 24.36/6.18 % [INFO] Killing All external provers ...
% 24.36/6.18 % Time passed: 5642ms (effective reasoning time: 4971ms)
% 24.36/6.18 % Axioms used in derivation (0):
% 24.36/6.18 % No. of inferences in proof: 159
% 24.36/6.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 5642 ms resp. 4971 ms w/o parsing
% 21.68/6.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 21.68/6.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------