%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN691-1 : 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 : n008.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 9.33s 4.11s
% Output : Refutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 67
% Syntax : Number of formulae : 135 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 299 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1262 ( 166 ~; 164 |; 0 &; 932 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 48 usr; 11 con; 0-2 aty)
% Number of variables : 350 ( 0 ^; 350 !; 0 ?; 350 :)
% 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(p37_decl,type,
p37: $i > $i > $o ).
thf(p35_decl,type,
p35: $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(p22_decl,type,
p22: $i > $i > $o ).
thf(p20_decl,type,
p20: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p18_decl,type,
p18: $i > $i > $o ).
thf(p16_decl,type,
p16: $i > $i > $o ).
thf(p14_decl,type,
p14: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(p39_decl,type,
p39: $i > $i > $o ).
thf(f5_decl,type,
f5: $i > $i > $i ).
thf(c40_decl,type,
c40: $i ).
thf(f10_decl,type,
f10: $i > $i > $i ).
thf(f13_decl,type,
f13: $i > $i > $i ).
thf(f15_decl,type,
f15: $i > $i > $i ).
thf(c42_decl,type,
c42: $i ).
thf(c43_decl,type,
c43: $i ).
thf(c44_decl,type,
c44: $i ).
thf(c45_decl,type,
c45: $i ).
thf(c46_decl,type,
c46: $i ).
thf(f17_decl,type,
f17: $i > $i > $i ).
thf(f19_decl,type,
f19: $i > $i > $i ).
thf(f21_decl,type,
f21: $i > $i > $i ).
thf(c47_decl,type,
c47: $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(c41_decl,type,
c41: $i ).
thf(f34_decl,type,
f34: $i > $i > $i ).
thf(f38_decl,type,
f38: $i > $i > $i ).
thf(f36_decl,type,
f36: $i > $i > $i ).
thf(f32_decl,type,
f32: $i > $i > $i ).
thf(f30_decl,type,
f30: $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(c48_decl,type,
c48: $i ).
thf(c49_decl,type,
c49: $i ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(70,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(30,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_30) ).
thf(129,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p31 ) )
| ~ ( A @ ( C @ p31 ) )
| ( B @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(16,negated_conjecture,
! [A: $i] : ( A @ ( A @ p20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_16) ).
thf(118,plain,
! [A: $i] : ( A @ ( A @ p20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,negated_conjecture,
! [A: $i] : ( A @ ( A @ p25 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).
thf(95,plain,
! [A: $i] : ( A @ ( A @ p25 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(58,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p27 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_58) ).
thf(127,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p27 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
thf(72,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(63,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( C @ ( A @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c40 @ f5 ) @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_63) ).
thf(114,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( C @ ( A @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c40 @ f5 ) @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(65,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ p39 ) )
| ( D @ ( B @ f24 ) @ ( D @ ( C @ ( B @ ( A @ ( c48 @ f30 ) @ f28 ) @ f26 ) @ f24 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_65) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ p39 ) )
| ( D @ ( B @ f24 ) @ ( D @ ( C @ ( B @ ( A @ ( c48 @ f30 ) @ f28 ) @ f26 ) @ f24 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(34,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p25 ) )
| ~ ( A @ ( C @ p25 ) )
| ( B @ ( A @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_34) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p25 ) )
| ~ ( A @ ( C @ p25 ) )
| ( B @ ( A @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(60,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p20 ) )
| ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_60) ).
thf(88,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p20 ) )
| ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(18,negated_conjecture,
! [A: $i] : ( A @ ( A @ p18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_18) ).
thf(115,plain,
! [A: $i] : ( A @ ( A @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_11) ).
thf(120,plain,
! [A: $i] : ( A @ ( A @ p29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(39,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p18 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_39) ).
thf(110,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p18 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(23,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_23) ).
thf(125,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_9) ).
thf(93,plain,
! [A: $i] : ( A @ ( A @ p31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,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_25) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(12,negated_conjecture,
! [A: $i] : ( A @ ( A @ p27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_12) ).
thf(106,plain,
! [A: $i] : ( A @ ( A @ p27 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(43,negated_conjecture,
~ ( c46 @ ( c45 @ ( c44 @ ( c43 @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c40 @ f5 ) @ p39 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_43) ).
thf(121,plain,
~ ( c46 @ ( c45 @ ( c44 @ ( c43 @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c40 @ f5 ) @ p39 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(29,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p33 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p33 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_29) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p33 ) )
| ~ ( A @ ( C @ p33 ) )
| ( B @ ( A @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(47,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p14 ) )
| ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_47) ).
thf(132,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p14 ) )
| ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(50,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_50) ).
thf(116,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)],[50]) ).
thf(56,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p8 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_56) ).
thf(74,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p8 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(21,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_21) ).
thf(89,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(15,negated_conjecture,
! [A: $i] : ( A @ ( A @ p22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_15) ).
thf(133,plain,
! [A: $i] : ( A @ ( A @ p22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(67,negated_conjecture,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ( c49 @ f38 ) @ f36 ) @ f34 ) @ ( C @ ( B @ ( A @ ( c48 @ f30 ) @ f28 ) @ f26 ) @ ( C @ ( B @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( C @ ( B @ ( A @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c41 @ f7 ) @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_67) ).
thf(117,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ( c49 @ f38 ) @ f36 ) @ f34 ) @ ( C @ ( B @ ( A @ ( c48 @ f30 ) @ f28 ) @ f26 ) @ ( C @ ( B @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( C @ ( B @ ( A @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c41 @ f7 ) @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(61,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p18 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p16 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_61) ).
thf(85,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p18 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p16 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(22,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_22) ).
thf(102,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(38,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_38) ).
thf(92,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p22 ) )
| ~ ( A @ ( C @ p4 ) )
| ~ ( D @ ( C @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_45) ).
thf(97,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p22 ) )
| ~ ( A @ ( C @ p4 ) )
| ~ ( D @ ( C @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p35 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_7) ).
thf(109,plain,
! [A: $i] : ( A @ ( A @ p35 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(55,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_55) ).
thf(124,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p3 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(37,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p20 ) )
| ~ ( A @ ( C @ p20 ) )
| ( B @ ( A @ p20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_37) ).
thf(77,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p20 ) )
| ~ ( A @ ( C @ p20 ) )
| ( B @ ( A @ p20 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(41,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_41) ).
thf(96,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(62,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p25 ) )
| ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_62) ).
thf(134,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p25 ) )
| ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_10) ).
thf(73,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(36,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p22 ) )
| ~ ( A @ ( C @ p22 ) )
| ( B @ ( A @ p22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_36) ).
thf(128,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p22 ) )
| ~ ( A @ ( C @ p22 ) )
| ( B @ ( A @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(27,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p37 ) )
| ~ ( A @ ( C @ p37 ) )
| ( B @ ( A @ p37 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_27) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p37 ) )
| ~ ( A @ ( C @ p37 ) )
| ( B @ ( A @ p37 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(66,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ p39 ) )
| ( D @ ( C @ f32 ) @ ( D @ ( C @ ( B @ ( A @ ( c49 @ f38 ) @ f36 ) @ f34 ) @ f32 ) @ p31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_66) ).
thf(71,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ p39 ) )
| ( D @ ( C @ f32 ) @ ( D @ ( C @ ( B @ ( A @ ( c49 @ f38 ) @ f36 ) @ f34 ) @ f32 ) @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
thf(86,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(48,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p33 ) )
| ( D @ ( C @ f34 ) @ ( B @ ( A @ f34 ) @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_48) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p33 ) )
| ( D @ ( C @ f34 ) @ ( B @ ( A @ f34 ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(20,negated_conjecture,
! [A: $i] : ( A @ ( A @ p14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_20) ).
thf(81,plain,
! [A: $i] : ( A @ ( A @ p14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(24,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_24) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(64,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ p39 ) )
| ( D @ ( C @ ( B @ ( A @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c40 @ f5 ) @ p39 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_64) ).
thf(98,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ p39 ) )
| ( D @ ( C @ ( B @ ( A @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c40 @ f5 ) @ p39 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(44,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( C @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_44) ).
thf(103,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( C @ ( A @ ( c47 @ f21 ) @ f19 ) @ f17 ) @ p39 ) )
| ( B @ ( A @ p39 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(28,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p35 ) )
| ~ ( A @ ( C @ p35 ) )
| ( B @ ( A @ p35 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_28) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p35 ) )
| ~ ( A @ ( C @ p35 ) )
| ( B @ ( A @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(49,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p12 ) )
| ~ ( C @ ( A @ p11 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_49) ).
thf(108,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p12 ) )
| ~ ( C @ ( A @ p11 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p16 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_51) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p16 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(14,negated_conjecture,
! [A: $i] : ( A @ ( A @ p23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_14) ).
thf(80,plain,
! [A: $i] : ( A @ ( A @ p23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(35,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p23 ) )
| ~ ( A @ ( C @ p23 ) )
| ( B @ ( A @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p23 ) )
| ~ ( A @ ( C @ p23 ) )
| ( B @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(26,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_26) ).
thf(123,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(17,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
thf(99,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p37 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_6) ).
thf(87,plain,
! [A: $i] : ( A @ ( A @ p37 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(59,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p22 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_59) ).
thf(104,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p22 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(42,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_42) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(31,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_31) ).
thf(119,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(46,negated_conjecture,
c46 @ ( c45 @ ( c44 @ ( c43 @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c41 @ f7 ) @ ( c40 @ f5 ) @ p39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_46) ).
thf(82,plain,
c46 @ ( c45 @ ( c44 @ ( c43 @ ( c42 @ f15 ) @ f13 ) @ f10 ) @ ( c41 @ f7 ) @ ( c40 @ f5 ) @ p39 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(54,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p9 ) )
| ~ ( D @ ( B @ p22 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_54) ).
thf(107,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p9 ) )
| ~ ( D @ ( B @ p22 ) )
| ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p33 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_8) ).
thf(126,plain,
! [A: $i] : ( A @ ( A @ p33 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(52,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p37 ) )
| ( D @ ( C @ f38 ) @ ( B @ ( A @ f38 ) @ p35 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_52) ).
thf(79,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p37 ) )
| ( D @ ( C @ f38 ) @ ( B @ ( A @ f38 ) @ p35 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(53,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p35 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f36 ) @ ( B @ ( A @ f36 ) @ p33 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_53) ).
thf(94,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p35 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f36 ) @ ( B @ ( A @ f36 ) @ p33 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(19,negated_conjecture,
! [A: $i] : ( A @ ( A @ p16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_19) ).
thf(131,plain,
! [A: $i] : ( A @ ( A @ p16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
thf(68,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(40,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p16 ) )
| ~ ( A @ ( C @ p16 ) )
| ( B @ ( A @ p16 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_40) ).
thf(122,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p16 ) )
| ~ ( A @ ( C @ p16 ) )
| ( B @ ( A @ p16 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(57,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p29 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p27 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_57) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p29 ) )
| ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p27 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(32,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p29 ) )
| ~ ( A @ ( C @ p29 ) )
| ( B @ ( A @ p29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_32) ).
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)],[32]) ).
thf(33,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p27 ) )
| ~ ( A @ ( C @ p27 ) )
| ( B @ ( A @ p27 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_33) ).
thf(90,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p27 ) )
| ~ ( A @ ( C @ p27 ) )
| ( B @ ( A @ p27 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
thf(111,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(199,plain,
$false,
inference(e,[status(thm)],[70,129,118,95,127,72,114,69,101,88,115,120,110,125,93,78,106,121,84,132,116,74,89,133,117,85,102,92,97,109,124,77,96,134,73,128,105,71,86,113,81,76,98,103,91,108,130,80,112,123,99,87,104,75,119,82,107,126,79,94,131,68,122,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN691-1 : 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
% 0.18/0.42 % Computer : n008.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sat Sep 26 18:21:09 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.14/1.08 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.70/1.34 % [INFO] Parsing done (249ms).
% 1.70/1.36 % [INFO] Running in sequential loop mode.
% 2.84/1.96 % [INFO] eprover registered as external prover.
% 2.84/1.97 % [INFO] Scanning for conjecture ...
% 3.49/2.25 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.97/2.45 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.97/2.45 % [INFO] Problem is propositional (TPTP CNF).
% 3.97/2.46 % [INFO] Type checking passed.
% 3.97/2.47 % [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 ...
% 9.33/4.11 % External prover 'e' found a proof!
% 9.33/4.11 % [INFO] Killing All external provers ...
% 9.33/4.11 % Time passed: 3503ms (effective reasoning time: 2742ms)
% 9.33/4.11 % Axioms used in derivation (0):
% 9.33/4.11 % No. of inferences in proof: 135
% 9.33/4.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3503 ms resp. 2742 ms w/o parsing
% 9.91/4.18 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.91/4.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------