%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN710-1 : 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 09:18:12 AM UTC 2026
% Result : Unsatisfiable 6.29s 8.04s
% Output : Refutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 87
% Syntax : Number of formulae : 175 ( 53 unt; 0 typ; 0 def)
% Number of atoms : 423 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1680 ( 228 ~; 248 |; 0 &;1204 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 54 usr; 19 con; 0-2 aty)
% Number of variables : 396 ( 0 ^; 396 !; 0 ?; 396 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p4_decl,type,
p4: $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(p28_decl,type,
p28: $i > $i > $o ).
thf(p26_decl,type,
p26: $i > $i > $o ).
thf(p24_decl,type,
p24: $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(p14_decl,type,
p14: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(p33_decl,type,
p33: $i > $i > $o ).
thf(c38_decl,type,
c38: $i ).
thf(c39_decl,type,
c39: $i ).
thf(c43_decl,type,
c43: $i ).
thf(c45_decl,type,
c45: $i ).
thf(c44_decl,type,
c44: $i ).
thf(p34_decl,type,
p34: $i > $i > $o ).
thf(c40_decl,type,
c40: $i ).
thf(f5_decl,type,
f5: $i > $i > $i ).
thf(c41_decl,type,
c41: $i ).
thf(c42_decl,type,
c42: $i ).
thf(f11_decl,type,
f11: $i > $i > $i ).
thf(c46_decl,type,
c46: $i ).
thf(f9_decl,type,
f9: $i > $i > $i ).
thf(c47_decl,type,
c47: $i ).
thf(c50_decl,type,
c50: $i ).
thf(p37_decl,type,
p37: $i > $i > $o ).
thf(p35_decl,type,
p35: $i > $i > $o ).
thf(f30_decl,type,
f30: $i > $i > $i ).
thf(c53_decl,type,
c53: $i ).
thf(p36_decl,type,
p36: $i > $i > $o ).
thf(f18_decl,type,
f18: $i > $i > $i ).
thf(c51_decl,type,
c51: $i ).
thf(f32_decl,type,
f32: $i > $i > $i ).
thf(c55_decl,type,
c55: $i ).
thf(f13_decl,type,
f13: $i > $i > $i ).
thf(f16_decl,type,
f16: $i > $i > $i ).
thf(c48_decl,type,
c48: $i ).
thf(c49_decl,type,
c49: $i ).
thf(f25_decl,type,
f25: $i > $i > $i ).
thf(f27_decl,type,
f27: $i > $i > $i ).
thf(c54_decl,type,
c54: $i ).
thf(f20_decl,type,
f20: $i > $i > $i ).
thf(f22_decl,type,
f22: $i > $i > $i ).
thf(c52_decl,type,
c52: $i ).
thf(62,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p19 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_62) ).
thf(174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p19 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(28,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p36 ) )
| ( B @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_28) ).
thf(118,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p36 ) )
| ( B @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(64,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p26 ) )
| ( D @ ( C @ f27 ) @ ( B @ ( A @ f27 ) @ p23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_64) ).
thf(127,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p26 ) )
| ( D @ ( C @ f27 ) @ ( B @ ( A @ f27 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(38,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p28 ) )
| ~ ( A @ ( C @ p28 ) )
| ( B @ ( A @ p28 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_38) ).
thf(119,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p28 ) )
| ~ ( A @ ( C @ p28 ) )
| ( B @ ( A @ p28 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(49,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( c42 @ ( c41 @ f5 ) @ ( c55 @ f32 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_49) ).
thf(138,plain,
! [A: $i] :
( ~ ( A @ ( c42 @ ( c41 @ f5 ) @ ( c55 @ f32 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(25,negated_conjecture,
~ ( c43 @ ( c47 @ f9 ) @ ( c50 @ ( c46 @ f11 ) @ p33 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p33_25) ).
thf(101,plain,
~ ( c43 @ ( c47 @ f9 ) @ ( c50 @ ( c46 @ f11 ) @ p33 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(69,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p17 ) )
| ~ ( D @ ( B @ p15 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_69) ).
thf(88,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p17 ) )
| ~ ( D @ ( B @ p15 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(79,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( c43 @ p33 ) )
| ~ ( B @ ( c43 @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_79) ).
thf(170,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( c43 @ p33 ) )
| ~ ( B @ ( c43 @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(70,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p31 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_70) ).
thf(115,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p31 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p28 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_9) ).
thf(120,plain,
! [A: $i] : ( A @ ( A @ p28 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
thf(142,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(31,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_31) ).
thf(153,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(110,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
thf(125,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(40,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p24 ) )
| ~ ( A @ ( C @ p24 ) )
| ( B @ ( A @ p24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_40) ).
thf(157,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p24 ) )
| ~ ( A @ ( C @ p24 ) )
| ( B @ ( A @ p24 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(66,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p28 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p29 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_66) ).
thf(93,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p28 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(16,negated_conjecture,
! [A: $i] : ( A @ ( A @ p17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_16) ).
thf(152,plain,
! [A: $i] : ( A @ ( A @ p17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(82,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( A @ ( B @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_82) ).
thf(164,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( A @ ( B @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(57,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p24 ) )
| ~ ( D @ ( C @ p35 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p35 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_57) ).
thf(106,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p24 ) )
| ~ ( D @ ( C @ p35 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(53,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ p15 ) )
| ( C @ ( B @ ( c48 @ f16 ) @ f13 ) @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_53) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ p15 ) )
| ( C @ ( B @ ( c48 @ f16 ) @ f13 ) @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(48,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_48) ).
thf(147,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(44,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_44) ).
thf(132,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p19 ) )
| ~ ( A @ ( C @ p19 ) )
| ( B @ ( A @ p19 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(21,negated_conjecture,
c45 @ ( c43 @ p33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_21) ).
thf(116,plain,
c45 @ ( c43 @ p33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
thf(89,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(59,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( c38 @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_59) ).
thf(133,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( c38 @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(33,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_33) ).
thf(117,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(52,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( C @ ( B @ ( c54 @ f27 ) @ f25 ) @ ( A @ ( c53 @ f30 ) @ p35 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_52) ).
thf(102,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( C @ ( B @ ( c54 @ f27 ) @ f25 ) @ ( A @ ( c53 @ f30 ) @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(23,negated_conjecture,
c42 @ ( c41 @ f5 ) @ ( c40 @ p34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_23) ).
thf(160,plain,
c42 @ ( c41 @ f5 ) @ ( c40 @ p34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(54,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p33 ) )
| ~ ( B @ ( D @ p8 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_54) ).
thf(137,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p33 ) )
| ~ ( B @ ( D @ p8 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(36,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_36) ).
thf(165,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(77,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( c43 @ p33 ) )
| ~ ( B @ ( c43 @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_77) ).
thf(92,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( c43 @ p33 ) )
| ~ ( B @ ( c43 @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(56,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p15 ) )
| ~ ( A @ ( C @ p8 ) )
| ~ ( D @ ( C @ p36 ) )
| ( B @ ( A @ p36 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36_56) ).
thf(97,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p15 ) )
| ~ ( A @ ( C @ p8 ) )
| ~ ( D @ ( C @ p36 ) )
| ( B @ ( A @ p36 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(43,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_43) ).
thf(156,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
thf(169,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(76,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_76) ).
thf(141,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(61,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p15 ) )
| ~ ( C @ ( A @ p14 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_61) ).
thf(109,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p15 ) )
| ~ ( C @ ( A @ p14 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(73,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( B @ ( A @ ( c52 @ f22 ) @ f20 ) @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_73) ).
thf(124,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( B @ ( A @ ( c52 @ f22 ) @ f20 ) @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p26 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_10) ).
thf(96,plain,
! [A: $i] : ( A @ ( A @ p26 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(68,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_68) ).
thf(173,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(32,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_32) ).
thf(129,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(27,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ p36 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36_27) ).
thf(134,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ p36 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(17,negated_conjecture,
! [A: $i] : ( A @ ( A @ p15 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
thf(128,plain,
! [A: $i] : ( A @ ( A @ p15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(46,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_46) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(30,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_30) ).
thf(166,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(63,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_63) ).
thf(148,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)],[63]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p29 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_8) ).
thf(161,plain,
! [A: $i] : ( A @ ( A @ p29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(18,negated_conjecture,
! [A: $i] : ( A @ ( A @ p14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_18) ).
thf(149,plain,
! [A: $i] : ( A @ ( A @ p14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
thf(144,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(55,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p24 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( D @ ( C @ p37 ) )
| ( B @ ( A @ p37 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_55) ).
thf(159,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p24 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( D @ ( C @ p37 ) )
| ( B @ ( A @ p37 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(15,negated_conjecture,
! [A: $i] : ( A @ ( A @ p19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_15) ).
thf(172,plain,
! [A: $i] : ( A @ ( A @ p19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(60,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_60) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(42,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_42) ).
thf(98,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(14,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
thf(103,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(81,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ~ ( A @ ( c38 @ p33 ) )
| ( A @ ( c42 @ ( c41 @ f5 ) @ ( c55 @ f32 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_81) ).
thf(140,plain,
! [A: $i] :
( ~ ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ~ ( A @ ( c38 @ p33 ) )
| ( A @ ( c42 @ ( c41 @ f5 ) @ ( c55 @ f32 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(65,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p24 ) )
| ~ ( C @ ( A @ p23 ) )
| ( D @ ( C @ f25 ) @ ( B @ ( A @ f25 ) @ p24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_65) ).
thf(91,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p24 ) )
| ~ ( C @ ( A @ p23 ) )
| ( D @ ( C @ f25 ) @ ( B @ ( A @ f25 ) @ p24 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(72,negated_conjecture,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ ( c52 @ f22 ) @ f20 ) @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_72) ).
thf(155,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ ( A @ ( c52 @ f22 ) @ f20 ) @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(29,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p37 ) )
| ( B @ ( A @ ( c53 @ f30 ) @ p35 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_29) ).
thf(108,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p37 ) )
| ( B @ ( A @ ( c53 @ f30 ) @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(34,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_34) ).
thf(130,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(71,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_71) ).
thf(135,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p8 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(51,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( c42 @ ( c41 @ f5 ) @ ( c55 @ f32 ) @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_51) ).
thf(167,plain,
! [A: $i] :
( ~ ( A @ ( c42 @ ( c41 @ f5 ) @ ( c55 @ f32 ) @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(75,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ( C @ ( B @ ( c48 @ f16 ) @ f13 ) @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_75) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ( C @ ( B @ ( c48 @ f16 ) @ f13 ) @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p31 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_6) ).
thf(112,plain,
! [A: $i] : ( A @ ( A @ p31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(41,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_41) ).
thf(123,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p23 ) )
| ~ ( A @ ( C @ p23 ) )
| ( B @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(80,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ~ ( B @ ( C @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_80) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ~ ( B @ ( C @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c51 @ f18 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(50,negated_conjecture,
c43 @ ( c47 @ f9 ) @ ( c50 @ ( c49 @ ( c48 @ f16 ) @ f13 ) @ ( c46 @ f11 ) @ p33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_50) ).
thf(150,plain,
c43 @ ( c47 @ f9 ) @ ( c50 @ ( c49 @ ( c48 @ f16 ) @ f13 ) @ ( c46 @ f11 ) @ p33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(83,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_83) ).
thf(95,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_11) ).
thf(154,plain,
! [A: $i] : ( A @ ( A @ p24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(39,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p26 ) )
| ~ ( A @ ( C @ p26 ) )
| ( B @ ( A @ p26 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_39) ).
thf(143,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p26 ) )
| ~ ( A @ ( C @ p26 ) )
| ( B @ ( A @ p26 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(24,negated_conjecture,
c43 @ ( c47 @ f9 ) @ ( c39 @ ( c46 @ f11 ) @ p33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_24) ).
thf(99,plain,
c43 @ ( c47 @ f9 ) @ ( c39 @ ( c46 @ f11 ) @ p33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,negated_conjecture,
c39 @ ( c38 @ p33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_20) ).
thf(104,plain,
c39 @ ( c38 @ p33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(26,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c53 @ f30 ) @ p35 ) )
| ( B @ ( A @ p37 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_26) ).
thf(158,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c53 @ f30 ) @ p35 ) )
| ( B @ ( A @ p37 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(85,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_85) ).
thf(114,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( B @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(47,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_47) ).
thf(171,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(86,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( c48 @ f16 ) @ f13 ) @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ( C @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ p15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_86) ).
thf(139,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( c48 @ f16 ) @ f13 ) @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ( C @ ( A @ ( c51 @ f18 ) @ p33 ) )
| ( B @ ( A @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(67,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_67) ).
thf(151,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)],[67]) ).
thf(19,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_19) ).
thf(168,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(35,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_35) ).
thf(146,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(78,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_78) ).
thf(107,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( c43 @ p33 ) )
| ~ ( A @ ( c43 @ p33 ) )
| ( A @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( A @ ( c38 @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(87,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( c54 @ f27 ) @ f25 ) @ ( A @ ( c53 @ f30 ) @ p35 ) )
| ( C @ ( A @ ( c53 @ f30 ) @ p35 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_87) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( c54 @ f27 ) @ f25 ) @ ( A @ ( c53 @ f30 ) @ p35 ) )
| ( C @ ( A @ ( c53 @ f30 ) @ p35 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(45,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p17 ) )
| ~ ( B @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_45) ).
thf(126,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p17 ) )
| ~ ( B @ ( C @ p17 ) )
| ( B @ ( A @ p17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(12,negated_conjecture,
! [A: $i] : ( A @ ( A @ p23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_12) ).
thf(136,plain,
! [A: $i] : ( A @ ( A @ p23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(22,negated_conjecture,
~ ( c44 @ ( c43 @ p7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p7_22) ).
thf(131,plain,
~ ( c44 @ ( c43 @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(58,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p3 ) )
| ~ ( B @ ( D @ p4 ) )
| ~ ( D @ ( C @ p34 ) )
| ( B @ ( A @ p34 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_58) ).
thf(163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p3 ) )
| ~ ( B @ ( D @ p4 ) )
| ~ ( D @ ( C @ p34 ) )
| ( B @ ( A @ p34 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(13,negated_conjecture,
! [A: $i] : ( A @ ( A @ p21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_13) ).
thf(122,plain,
! [A: $i] : ( A @ ( A @ p21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(37,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_37) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p29 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(84,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( c43 @ p33 ) )
| ~ ( B @ ( c43 @ p33 ) )
| ( B @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_84) ).
thf(90,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( c43 @ p33 ) )
| ~ ( B @ ( c43 @ p33 ) )
| ( B @ ( c39 @ ( c46 @ f11 ) @ p33 ) )
| ( B @ ( A @ ( c46 @ f11 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(74,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( c53 @ f30 ) @ p35 ) )
| ( C @ ( B @ ( c54 @ f27 ) @ f25 ) @ ( A @ ( c53 @ f30 ) @ p35 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_74) ).
thf(111,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( c53 @ f30 ) @ p35 ) )
| ( C @ ( B @ ( c54 @ f27 ) @ f25 ) @ ( A @ ( c53 @ f30 ) @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(248,plain,
$false,
inference(e,[status(thm)],[174,118,127,119,138,101,88,170,115,120,142,153,110,125,157,93,152,164,106,121,147,132,116,89,133,117,102,160,137,165,92,97,156,169,141,109,124,96,173,129,134,128,105,166,148,161,149,144,159,172,113,98,103,140,91,155,108,130,135,167,162,112,123,145,150,95,154,143,99,104,158,114,171,139,151,168,146,107,94,126,136,131,163,122,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN710-1 : 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
% 0.13/5.40 % Computer : n004.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Sat Sep 26 18:21:26 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 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
% 0.18/5.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/6.22 % [INFO] Parsing done (241ms).
% 1.45/6.24 % [INFO] Running in sequential loop mode.
% 2.29/6.64 % [INFO] eprover registered as external prover.
% 2.29/6.65 % [INFO] Scanning for conjecture ...
% 2.68/6.86 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.90/7.01 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.90/7.01 % [INFO] Problem is propositional (TPTP CNF).
% 2.90/7.01 % [INFO] Type checking passed.
% 2.90/7.02 % [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 ...
% 6.29/8.04 % External prover 'e' found a proof!
% 6.29/8.04 % [INFO] Killing All external provers ...
% 6.29/8.04 % Time passed: 2496ms (effective reasoning time: 1796ms)
% 6.29/8.04 % Axioms used in derivation (0):
% 6.29/8.04 % No. of inferences in proof: 175
% 6.29/8.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2496 ms resp. 1796 ms w/o parsing
% 6.64/8.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.64/8.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------