%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN686-1 : 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 : n016.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 7.65s 3.39s
% Output : Refutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 58
% Syntax : Number of formulae : 117 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 263 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1200 ( 146 ~; 146 |; 0 &; 908 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 44 usr; 15 con; 0-2 aty)
% Number of variables : 268 ( 0 ^; 268 !; 0 ?; 268 :)
% Comments :
%------------------------------------------------------------------------------
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p28_decl,type,
p28: $i > $i > $o ).
thf(p26_decl,type,
p26: $i > $i > $o ).
thf(p24_decl,type,
p24: $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(p13_decl,type,
p13: $i > $i > $o ).
thf(c36_decl,type,
c36: $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(c33_decl,type,
c33: $i ).
thf(c34_decl,type,
c34: $i ).
thf(c42_decl,type,
c42: $i ).
thf(f5_decl,type,
f5: $i > $i > $i ).
thf(c32_decl,type,
c32: $i ).
thf(c37_decl,type,
c37: $i ).
thf(c35_decl,type,
c35: $i ).
thf(p30_decl,type,
p30: $i > $i > $o ).
thf(f10_decl,type,
f10: $i > $i > $i ).
thf(f12_decl,type,
f12: $i > $i > $i ).
thf(c39_decl,type,
c39: $i ).
thf(c41_decl,type,
c41: $i ).
thf(p31_decl,type,
p31: $i > $i > $o ).
thf(f15_decl,type,
f15: $i > $i > $i ).
thf(f19_decl,type,
f19: $i > $i > $i ).
thf(f21_decl,type,
f21: $i > $i > $i ).
thf(f27_decl,type,
f27: $i > $i > $i ).
thf(f25_decl,type,
f25: $i > $i > $i ).
thf(f29_decl,type,
f29: $i > $i > $i ).
thf(f17_decl,type,
f17: $i > $i > $i ).
thf(f23_decl,type,
f23: $i > $i > $i ).
thf(c45_decl,type,
c45: $i ).
thf(c43_decl,type,
c43: $i ).
thf(c40_decl,type,
c40: $i ).
thf(c38_decl,type,
c38: $i ).
thf(c44_decl,type,
c44: $i ).
thf(47,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p28 ) )
| ( D @ ( C @ f29 ) @ ( B @ ( A @ f29 ) @ p26 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_47) ).
thf(115,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p28 ) )
| ( D @ ( C @ f29 ) @ ( B @ ( A @ f29 ) @ p26 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(58,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( c40 @ f7 ) @ ( C @ f5 ) @ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( C @ f5 ) @ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( c39 @ f12 ) @ f10 ) @ p30 ) )
| ~ ( A @ ( c34 @ ( c33 @ f7 ) @ ( C @ f5 ) @ p4 ) )
| ~ ( B @ ( c36 @ ( C @ f5 ) @ p4 ) )
| ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_58) ).
thf(110,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( c40 @ f7 ) @ ( C @ f5 ) @ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( C @ f5 ) @ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( c39 @ f12 ) @ f10 ) @ p30 ) )
| ~ ( A @ ( c34 @ ( c33 @ f7 ) @ ( C @ f5 ) @ p4 ) )
| ~ ( B @ ( c36 @ ( C @ f5 ) @ p4 ) )
| ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(52,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p22 ) )
| ~ ( D @ ( B @ p11 ) )
| ( D @ ( C @ f23 ) @ ( B @ ( A @ f23 ) @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_52) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p22 ) )
| ~ ( D @ ( B @ p11 ) )
| ( D @ ( C @ f23 ) @ ( B @ ( A @ f23 ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(10,negated_conjecture,
! [A: $i] : ( A @ ( A @ p22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_10) ).
thf(64,plain,
! [A: $i] : ( A @ ( A @ p22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
thf(59,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_9) ).
thf(80,plain,
! [A: $i] : ( A @ ( A @ p24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(30,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p26 ) )
| ~ ( B @ ( C @ p26 ) )
| ( B @ ( A @ p26 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_30) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p26 ) )
| ~ ( B @ ( C @ p26 ) )
| ( B @ ( A @ p26 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_24) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,negated_conjecture,
c35 @ ( c34 @ ( c33 @ f7 ) @ ( c32 @ f5 ) @ p4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_20) ).
thf(72,plain,
c35 @ ( c34 @ ( c33 @ f7 ) @ ( c32 @ f5 ) @ p4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(19,negated_conjecture,
c37 @ ( c36 @ ( c32 @ f5 ) @ p4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).
thf(114,plain,
c37 @ ( c36 @ ( c32 @ f5 ) @ p4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(25,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_25) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(16,negated_conjecture,
! [A: $i] : ( A @ ( A @ p13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_16) ).
thf(101,plain,
! [A: $i] : ( A @ ( A @ p13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(22,negated_conjecture,
~ ( c41 @ ( c35 @ ( c34 @ ( c33 @ f7 ) @ ( c39 @ f12 ) @ f10 ) @ p30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_22) ).
thf(88,plain,
~ ( c41 @ ( c35 @ ( c34 @ ( c33 @ f7 ) @ ( c39 @ f12 ) @ f10 ) @ p30 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(49,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/sandbox/benchmark/theBenchmark.p',p3_49) ).
thf(93,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)],[49]) ).
thf(28,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_28) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(26,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_26) ).
thf(106,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p26 ) )
| ( D @ ( C @ f27 ) @ ( B @ ( A @ f27 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_45) ).
thf(84,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p26 ) )
| ( D @ ( C @ f27 ) @ ( B @ ( A @ f27 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
thf(61,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(44,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/sandbox/benchmark/theBenchmark.p',p18_44) ).
thf(89,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)],[44]) ).
thf(15,negated_conjecture,
! [A: $i] : ( A @ ( A @ p14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_15) ).
thf(116,plain,
! [A: $i] : ( A @ ( A @ p14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(57,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) )
| ~ ( c36 @ ( A @ ( c38 @ f15 ) @ p31 ) )
| ( A @ ( c40 @ f7 ) @ ( C @ ( B @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ ( A @ ( C @ ( B @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ ( A @ ( c39 @ f12 ) @ f10 ) @ p30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_57) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) )
| ~ ( c36 @ ( A @ ( c38 @ f15 ) @ p31 ) )
| ( A @ ( c40 @ f7 ) @ ( C @ ( B @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ ( A @ ( C @ ( B @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ ( A @ ( c39 @ f12 ) @ f10 ) @ p30 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
thf(60,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(17,negated_conjecture,
c34 @ ( c33 @ f7 ) @ ( c36 @ p3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
thf(85,plain,
c34 @ ( c33 @ f7 ) @ ( c36 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(31,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_31) ).
thf(102,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p24 ) )
| ~ ( A @ ( C @ p24 ) )
| ( B @ ( A @ p24 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(54,negated_conjecture,
! [A: $i] :
( ~ ( c36 @ ( A @ ( c38 @ f15 ) @ p31 ) )
| ( A @ ( c40 @ f7 ) @ ( c32 @ f5 ) @ ( A @ ( c32 @ f5 ) @ ( A @ ( c39 @ f12 ) @ f10 ) @ p30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_54) ).
thf(92,plain,
! [A: $i] :
( ~ ( c36 @ ( A @ ( c38 @ f15 ) @ p31 ) )
| ( A @ ( c40 @ f7 ) @ ( c32 @ f5 ) @ ( A @ ( c32 @ f5 ) @ ( A @ ( c39 @ f12 ) @ f10 ) @ p30 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(56,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( c34 @ ( c33 @ f7 ) @ ( C @ f5 ) @ p4 ) )
| ~ ( B @ ( c36 @ ( C @ f5 ) @ p4 ) )
| ( c36 @ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( c38 @ f15 ) @ p31 ) )
| ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_56) ).
thf(65,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( c34 @ ( c33 @ f7 ) @ ( C @ f5 ) @ p4 ) )
| ~ ( B @ ( c36 @ ( C @ f5 ) @ p4 ) )
| ( c36 @ ( C @ ( B @ ( A @ ( c44 @ f21 ) @ f19 ) @ f17 ) @ ( c38 @ f15 ) @ p31 ) )
| ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(35,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_35) ).
thf(97,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p26 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_8) ).
thf(109,plain,
! [A: $i] : ( A @ ( A @ p26 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(33,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p20 ) )
| ~ ( A @ ( C @ p20 ) )
| ( B @ ( A @ p20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_33) ).
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)],[33]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
thf(96,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(46,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p24 ) )
| ( D @ ( C @ f25 ) @ ( B @ ( A @ f25 ) @ p22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_46) ).
thf(73,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p24 ) )
| ( D @ ( C @ f25 ) @ ( B @ ( A @ f25 ) @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(40,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p14 ) )
| ~ ( C @ ( D @ p31 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_40) ).
thf(105,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p14 ) )
| ~ ( C @ ( D @ p31 ) )
| ~ ( B @ ( C @ p3 ) )
| ( B @ ( A @ p31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(14,negated_conjecture,
! [A: $i] : ( A @ ( A @ p16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_14) ).
thf(71,plain,
! [A: $i] : ( A @ ( A @ p16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(32,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p22 ) )
| ~ ( A @ ( C @ p22 ) )
| ( B @ ( A @ p22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_32) ).
thf(86,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p22 ) )
| ~ ( A @ ( C @ p22 ) )
| ( B @ ( A @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p11 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_51) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p11 ) )
| ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(53,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) )
| ( B @ ( c36 @ ( B @ ( A @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_53) ).
thf(81,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) )
| ( B @ ( c36 @ ( B @ ( A @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(21,negated_conjecture,
c41 @ ( c37 @ ( c36 @ ( c39 @ f12 ) @ f10 ) @ p30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).
thf(76,plain,
c41 @ ( c37 @ ( c36 @ ( c39 @ f12 ) @ f10 ) @ p30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(48,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p16 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
thf(98,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p16 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(11,negated_conjecture,
! [A: $i] : ( A @ ( A @ p20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_11) ).
thf(103,plain,
! [A: $i] : ( A @ ( A @ p20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
thf(91,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(42,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p13 ) )
| ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_42) ).
thf(66,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p13 ) )
| ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_23) ).
thf(108,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
thf(63,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(39,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p30 ) )
| ~ ( A @ ( D @ p9 ) )
| ~ ( B @ ( C @ p4 ) )
| ( B @ ( A @ p30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
thf(95,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ p30 ) )
| ~ ( A @ ( D @ p9 ) )
| ~ ( B @ ( C @ p4 ) )
| ( B @ ( A @ p30 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(18,negated_conjecture,
c34 @ ( c33 @ f7 ) @ ( c42 @ p3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
thf(99,plain,
c34 @ ( c33 @ f7 ) @ ( c42 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(34,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_34) ).
thf(87,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(43,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p18 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_43) ).
thf(104,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p18 ) )
| ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p16 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(29,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_29) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p28 ) )
| ~ ( A @ ( C @ p28 ) )
| ( B @ ( A @ p28 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(13,negated_conjecture,
! [A: $i] : ( A @ ( A @ p18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_13) ).
thf(82,plain,
! [A: $i] : ( A @ ( A @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(55,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) )
| ( A @ ( c34 @ ( c33 @ f7 ) @ ( B @ ( A @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_55) ).
thf(107,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( c39 @ ( c36 @ ( c43 @ f25 ) @ f23 ) @ f10 ) @ p30 ) )
| ( A @ ( c34 @ ( c33 @ f7 ) @ ( B @ ( A @ ( c45 @ f29 ) @ f27 ) @ f5 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(38,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_38) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p13 ) )
| ~ ( A @ ( C @ p13 ) )
| ( B @ ( A @ p13 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p28 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_7) ).
thf(94,plain,
! [A: $i] : ( A @ ( A @ p28 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,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_37) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
thf(62,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(41,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p8 ) )
| ~ ( D @ ( B @ p4 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p8 ) )
| ~ ( D @ ( B @ p4 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
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/sandbox/benchmark/theBenchmark.p',p4_50) ).
thf(100,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(27,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_27) ).
thf(90,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(36,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p16 ) )
| ~ ( A @ ( C @ p16 ) )
| ( B @ ( A @ p16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_36) ).
thf(111,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p16 ) )
| ~ ( A @ ( C @ p16 ) )
| ( B @ ( A @ p16 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(261,plain,
$false,
inference(e,[status(thm)],[115,110,70,64,59,80,112,67,72,114,69,101,88,93,78,106,84,61,89,116,74,60,85,102,92,65,97,109,77,96,73,105,71,86,113,81,76,98,103,91,66,108,63,95,99,87,104,75,82,107,79,94,68,62,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN686-1 : 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
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 18:25:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.85/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.43/1.20 % [INFO] Parsing done (222ms).
% 1.43/1.21 % [INFO] Running in sequential loop mode.
% 2.16/1.63 % [INFO] eprover registered as external prover.
% 2.16/1.63 % [INFO] Scanning for conjecture ...
% 2.55/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.80/1.96 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.80/1.96 % [INFO] Problem is propositional (TPTP CNF).
% 2.80/1.96 % [INFO] Type checking passed.
% 2.80/1.97 % [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 ...
% 7.65/3.39 % External prover 'e' found a proof!
% 7.65/3.39 % [INFO] Killing All external provers ...
% 7.65/3.39 % Time passed: 2856ms (effective reasoning time: 2172ms)
% 7.65/3.39 % Axioms used in derivation (0):
% 7.65/3.39 % No. of inferences in proof: 117
% 7.65/3.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2856 ms resp. 2172 ms w/o parsing
% 8.20/3.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.20/3.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------