%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN688-1 : 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 : 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 6.15s 2.37s
% Output : Refutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 62
% Syntax : Number of formulae : 125 ( 57 unt; 0 typ; 0 def)
% Number of atoms : 259 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1384 ( 144 ~; 134 |; 0 &;1106 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 45 usr; 18 con; 0-2 aty)
% Number of variables : 200 ( 0 ^; 200 !; 0 ?; 200 :)
% Comments :
%------------------------------------------------------------------------------
thf(p27_decl,type,
p27: $i > $o ).
thf(c34_decl,type,
c34: $i ).
thf(c43_decl,type,
c43: $i ).
thf(c35_decl,type,
c35: $i ).
thf(p23_decl,type,
p23: $i > $o ).
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p18_decl,type,
p18: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(p22_decl,type,
p22: $i > $i > $o ).
thf(c41_decl,type,
c41: $i ).
thf(c42_decl,type,
c42: $i ).
thf(p24_decl,type,
p24: $i > $i > $o ).
thf(c46_decl,type,
c46: $i ).
thf(c45_decl,type,
c45: $i ).
thf(p26_decl,type,
p26: $i > $i > $o ).
thf(f17_decl,type,
f17: $i > $i ).
thf(p25_decl,type,
p25: $i > $i > $o ).
thf(p28_decl,type,
p28: $i > $i > $o ).
thf(f20_decl,type,
f20: $i > $i ).
thf(f19_decl,type,
f19: $i > $i ).
thf(f15_decl,type,
f15: $i > $i ).
thf(f16_decl,type,
f16: $i > $i > $i ).
thf(c36_decl,type,
c36: $i ).
thf(c44_decl,type,
c44: $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f11_decl,type,
f11: $i > $i ).
thf(f5_decl,type,
f5: $i > $i ).
thf(f6_decl,type,
f6: $i > $i ).
thf(f7_decl,type,
f7: $i > $i ).
thf(c30_decl,type,
c30: $i ).
thf(c31_decl,type,
c31: $i ).
thf(p29_decl,type,
p29: $i > $i > $o ).
thf(f13_decl,type,
f13: $i > $i > $i ).
thf(f14_decl,type,
f14: $i > $i > $i ).
thf(f8_decl,type,
f8: $i > $i > $i ).
thf(c32_decl,type,
c32: $i ).
thf(c33_decl,type,
c33: $i ).
thf(c39_decl,type,
c39: $i ).
thf(c40_decl,type,
c40: $i ).
thf(c37_decl,type,
c37: $i ).
thf(c38_decl,type,
c38: $i ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
thf(110,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(37,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_37) ).
thf(70,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(2,negated_conjecture,
c43 @ p27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43_is_p27_2) ).
thf(64,plain,
c43 @ p27,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(36,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_36) ).
thf(118,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
thf(80,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(56,negated_conjecture,
c31 @ f5 @ ( c31 @ f7 @ f7 @ f6 @ f6 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c35 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_56) ).
thf(67,plain,
c31 @ f5 @ ( c31 @ f7 @ f7 @ f6 @ f6 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c35 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(52,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_52) ).
thf(72,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(55,negated_conjecture,
c31 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c33 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_55) ).
thf(114,plain,
c31 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c33 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(42,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p21 ) )
| ~ ( C @ ( D @ p22 ) )
| ~ ( B @ ( C @ p21 ) )
| ( B @ ( A @ p22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_42) ).
thf(68,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p21 ) )
| ~ ( C @ ( D @ p22 ) )
| ~ ( B @ ( C @ p21 ) )
| ( B @ ( A @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(24,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f17 @ ( A @ f17 @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).
thf(69,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f17 @ ( A @ f17 @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
thf(101,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,negated_conjecture,
~ ( c46 @ ( c43 @ p24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_13) ).
thf(88,plain,
~ ( c46 @ ( c43 @ p24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(23,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p9 ) )
| ( B @ f11 @ ( A @ f11 @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_23) ).
thf(115,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p9 ) )
| ( B @ f11 @ ( A @ f11 @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p10 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_51) ).
thf(120,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p10 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(34,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_34) ).
thf(93,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(61,negated_conjecture,
c31 @ f7 @ f7 @ f7 @ f6 @ f6 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f6 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f5 @ ( c31 @ f7 @ f6 @ f6 @ f6 @ f6 @ f7 @ f6 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c36 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_61) ).
thf(78,plain,
c31 @ f7 @ f7 @ f7 @ f6 @ f6 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f6 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f5 @ ( c31 @ f7 @ f6 @ f6 @ f6 @ f6 @ f7 @ f6 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c36 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(18,negated_conjecture,
c34 @ f19 @ ( c43 @ f19 @ f20 @ p28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_18) ).
thf(106,plain,
c34 @ f19 @ ( c43 @ f19 @ f20 @ p28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(19,negated_conjecture,
c44 @ ( c36 @ ( c43 @ f16 ) @ f15 @ p3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_19) ).
thf(121,plain,
c44 @ ( c36 @ ( c43 @ f16 ) @ f15 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(28,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
thf(84,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(41,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ f19 @ ( A @ f19 @ p29 ) )
| ~ ( B @ p27 )
| ~ ( A @ p27 )
| ( B @ ( A @ p26 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_41) ).
thf(89,plain,
! [B: $i,A: $i] :
( ~ ( B @ f19 @ ( A @ f19 @ p29 ) )
| ~ ( B @ p27 )
| ~ ( A @ p27 )
| ( B @ ( A @ p26 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_8) ).
thf(116,plain,
! [A: $i] : ( A @ ( A @ p21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(20,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p10 ) )
| ~ ( B @ p23 )
| ( A @ p23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_20) ).
thf(74,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p10 ) )
| ~ ( B @ p23 )
| ( A @ p23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(58,negated_conjecture,
c31 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f6 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c40 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_58) ).
thf(117,plain,
c31 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f6 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c40 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(38,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_38) ).
thf(85,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(39,negated_conjecture,
c31 @ f7 @ f6 @ f6 @ f6 @ f6 @ f6 @ f5 @ f4 @ ( c30 @ p3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_39) ).
thf(102,plain,
c31 @ f7 @ f6 @ f6 @ f6 @ f6 @ f6 @ f5 @ f4 @ ( c30 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(32,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_32) ).
thf(92,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(4,negated_conjecture,
~ ( c43 @ p23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43_is_not_p23_4) ).
thf(65,plain,
~ ( c43 @ p23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(27,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_27) ).
thf(97,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(31,negated_conjecture,
! [A: $i] :
( ~ ( A @ p27 )
| ( A @ f19 @ f20 @ ( A @ f17 @ f19 @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_31) ).
thf(109,plain,
! [A: $i] :
( ~ ( A @ p27 )
| ( A @ f19 @ f20 @ ( A @ f17 @ f19 @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(62,negated_conjecture,
c31 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f6 @ f6 @ f7 @ f7 @ f6 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f6 @ f5 @ ( c31 @ f7 @ f6 @ f6 @ f6 @ f6 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c34 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_62) ).
thf(124,plain,
c31 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f6 @ f6 @ f7 @ f7 @ f6 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f7 @ f6 @ f5 @ ( c31 @ f7 @ f6 @ f6 @ f6 @ f6 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c34 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(29,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f7 @ ( A @ f7 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_29) ).
thf(77,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f7 @ ( A @ f7 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(59,negated_conjecture,
c31 @ f7 @ f7 @ f6 @ f6 @ f6 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f6 @ f7 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f6 @ f6 @ f7 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c37 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_59) ).
thf(96,plain,
c31 @ f7 @ f7 @ f6 @ f6 @ f6 @ f7 @ f6 @ f7 @ f7 @ f7 @ f6 @ f6 @ f7 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f6 @ f6 @ f7 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c37 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(14,negated_conjecture,
~ ( c45 @ ( c43 @ p24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_14) ).
thf(73,plain,
~ ( c45 @ ( c43 @ p24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(48,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p26 ) )
| ~ ( A @ p27 )
| ~ ( B @ p27 )
| ( B @ f19 @ ( A @ f19 @ p29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_48) ).
thf(105,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p26 ) )
| ~ ( A @ p27 )
| ~ ( B @ p27 )
| ( B @ f19 @ ( A @ f19 @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(25,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f19 @ ( A @ f19 @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_25) ).
thf(71,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f19 @ ( A @ f19 @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
thf(86,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p18 ) )
| ( B @ f20 @ ( A @ f20 @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_26) ).
thf(113,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p18 ) )
| ( B @ f20 @ ( A @ f20 @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(60,negated_conjecture,
c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f7 @ f6 @ f6 @ f6 @ f7 @ f7 @ f7 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f6 @ f6 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c38 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_60) ).
thf(81,plain,
c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f7 @ f6 @ f6 @ f6 @ f7 @ f7 @ f7 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f6 @ f6 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c38 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(57,negated_conjecture,
c31 @ f7 @ f6 @ f6 @ f6 @ f7 @ f6 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c39 @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_57) ).
thf(76,plain,
c31 @ f7 @ f6 @ f6 @ f6 @ f7 @ f6 @ f6 @ f5 @ ( c31 @ f7 @ f7 @ f7 @ f7 @ f7 @ f7 @ f6 @ f5 @ f14 ) @ ( c31 @ f5 @ f13 ) @ f11 @ ( c39 @ p10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(12,negated_conjecture,
c42 @ ( c41 @ p22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_12) ).
thf(98,plain,
c42 @ ( c41 @ p22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,negated_conjecture,
c35 @ p27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c35_is_p27_3) ).
thf(103,plain,
c35 @ p27,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,negated_conjecture,
! [A: $i] :
( ~ ( A @ p27 )
| ( A @ f17 @ p27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
thf(91,plain,
! [A: $i] :
( ~ ( A @ p27 )
| ( A @ f17 @ p27 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).
thf(66,plain,
! [A: $i] : ( A @ ( A @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,negated_conjecture,
~ ( c34 @ ( c43 @ f17 @ p25 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_16) ).
thf(108,plain,
~ ( c34 @ ( c43 @ f17 @ p25 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(40,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ f19 @ ( A @ f19 @ p28 ) )
| ~ ( B @ p27 )
| ~ ( A @ p27 )
| ( B @ ( A @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_40) ).
thf(112,plain,
! [B: $i,A: $i] :
( ~ ( B @ f19 @ ( A @ f19 @ p28 ) )
| ~ ( B @ p27 )
| ~ ( A @ p27 )
| ( B @ ( A @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(15,negated_conjecture,
~ ( c35 @ ( c43 @ f17 @ p26 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p26_15) ).
thf(123,plain,
~ ( c35 @ ( c43 @ f17 @ p26 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_5) ).
thf(63,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(44,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p18 ) )
| ~ ( C @ ( D @ p28 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_44) ).
thf(95,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p18 ) )
| ~ ( C @ ( D @ p28 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p28 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(54,negated_conjecture,
c31 @ f7 @ f6 @ f6 @ f7 @ f5 @ ( c31 @ f7 @ f6 @ f5 @ f8 ) @ f4 @ ( c32 @ p3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_54) ).
thf(99,plain,
c31 @ f7 @ f6 @ f6 @ f7 @ f5 @ ( c31 @ f7 @ f6 @ f5 @ f8 ) @ f4 @ ( c32 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(53,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_53) ).
thf(87,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(35,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_35) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p21 ) )
| ~ ( A @ ( C @ p21 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(46,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p25 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_46) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p25 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(30,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f15 @ ( A @ f15 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).
thf(119,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f15 @ ( A @ f15 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(21,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p10 ) )
| ~ ( B @ p27 )
| ( A @ p27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_21) ).
thf(82,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p10 ) )
| ~ ( B @ p27 )
| ( A @ p27 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(50,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_50) ).
thf(107,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p2 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(1,negated_conjecture,
c34 @ p27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34_is_p27_1) ).
thf(79,plain,
c34 @ p27,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(22,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
thf(94,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(47,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p24 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_47) ).
thf(122,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p24 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p24 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(33,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_33) ).
thf(83,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(49,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p25 ) )
| ~ ( A @ p27 )
| ~ ( B @ p27 )
| ( B @ f19 @ ( A @ f19 @ p28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_49) ).
thf(100,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p25 ) )
| ~ ( A @ p27 )
| ~ ( B @ p27 )
| ( B @ f19 @ ( A @ f19 @ p28 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p26 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p26 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_45) ).
thf(90,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p26 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p26 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(43,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p18 ) )
| ~ ( C @ ( D @ p29 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_43) ).
thf(111,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p18 ) )
| ~ ( C @ ( D @ p29 ) )
| ~ ( B @ ( C @ p18 ) )
| ( B @ ( A @ p29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(337,plain,
$false,
inference(e,[status(thm)],[110,70,64,118,80,67,72,114,68,69,101,88,115,120,93,78,106,121,84,89,116,74,117,85,102,92,65,97,109,124,77,96,73,105,71,86,113,81,76,98,103,91,66,108,112,123,63,95,99,87,104,75,119,82,107,79,94,122,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % 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
% 0.16/0.41 % Computer : n009.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 18:20:14 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.69/0.71 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.93/0.84 % [INFO] Parsing done (122ms).
% 0.93/0.85 % [INFO] Running in sequential loop mode.
% 1.56/1.05 % [INFO] eprover registered as external prover.
% 1.56/1.05 % [INFO] Scanning for conjecture ...
% 1.84/1.17 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.03/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.03/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 2.03/1.24 % [INFO] Type checking passed.
% 2.03/1.24 % [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 ...
% 6.15/2.37 % External prover 'e' found a proof!
% 6.15/2.37 % [INFO] Killing All external provers ...
% 6.15/2.37 % Time passed: 1869ms (effective reasoning time: 1521ms)
% 6.15/2.37 % Axioms used in derivation (0):
% 6.15/2.37 % No. of inferences in proof: 125
% 6.15/2.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1869 ms resp. 1521 ms w/o parsing
% 7.28/2.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.28/2.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------