%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN634-1 : 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 : n013.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 09:18:01 AM UTC 2026
% Result : Unsatisfiable 4.24s 2.69s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 40
% Syntax : Number of formulae : 81 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 205 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1056 ( 104 ~; 124 |; 0 &; 828 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 31 usr; 11 con; 0-3 aty)
% Number of variables : 226 ( 0 ^; 226 !; 0 ?; 226 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p5_decl,type,
p5: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p14_decl,type,
p14: $i > $i > $o ).
thf(c23_decl,type,
c23: $i ).
thf(f8_decl,type,
f8: $i > $i ).
thf(c24_decl,type,
c24: $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f6_decl,type,
f6: $i > $i > $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(f12_decl,type,
f12: $i > $i ).
thf(f15_decl,type,
f15: $i > $i ).
thf(f16_decl,type,
f16: $i > $i ).
thf(p22_decl,type,
p22: $i > $i > $o ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(f13_decl,type,
f13: $i > $i > $i ).
thf(f11_decl,type,
f11: $i > $i > $i > $i ).
thf(c25_decl,type,
c25: $i ).
thf(c26_decl,type,
c26: $i ).
thf(c27_decl,type,
c27: $i ).
thf(c28_decl,type,
c28: $i ).
thf(c29_decl,type,
c29: $i ).
thf(f20_decl,type,
f20: $i > $i > $i > $i ).
thf(f19_decl,type,
f19: $i > $i > $i > $i ).
thf(f18_decl,type,
f18: $i > $i > $i > $i ).
thf(f17_decl,type,
f17: $i > $i > $i > $i ).
thf(c30_decl,type,
c30: $i ).
thf(c32_decl,type,
c32: $i ).
thf(c31_decl,type,
c31: $i ).
thf(7,negated_conjecture,
~ ( c24 @ f8 @ ( c23 @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
thf(69,plain,
~ ( c24 @ f8 @ ( c23 @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f20 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c32 @ ( A @ f11 ) ) @ ( B @ ( c32 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f20 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c32 @ ( A @ f11 ) ) @ ( B @ ( c32 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f12 @ ( A @ f12 @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_10) ).
thf(42,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f12 @ ( A @ f12 @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,negated_conjecture,
! [C: $i,B: $i,A: $i] : ( B @ ( C @ ( B @ f7 ) @ ( A @ f6 ) @ f4 @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] : ( B @ ( C @ ( B @ f7 ) @ ( A @ f6 ) @ f4 @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p21 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_21) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p21 ) )
| ~ ( B @ ( C @ p10 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(39,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f18 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c27 @ ( A @ f11 ) ) @ ( B @ ( c27 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_39) ).
thf(70,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f18 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c27 @ ( A @ f11 ) ) @ ( B @ ( c27 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(32,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f17 ) ) @ ( C @ ( B @ ( A @ f17 ) ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_32) ).
thf(65,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f17 ) ) @ ( C @ ( B @ ( A @ f17 ) ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
thf(53,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p3 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_23) ).
thf(77,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p3 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(41,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_16) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(26,negated_conjecture,
! [A: $i] :
( ~ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f16 @ ( A @ p22 ) )
| ( A @ ( c28 @ f13 ) @ f12 @ ( c29 @ ( c28 @ f13 ) @ f12 @ p21 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_26) ).
thf(76,plain,
! [A: $i] :
( ~ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f16 @ ( A @ p22 ) )
| ( A @ ( c28 @ f13 ) @ f12 @ ( c29 @ ( c28 @ f13 ) @ f12 @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(34,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c32 @ ( A @ f11 ) ) @ ( B @ ( c32 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f15 @ ( C @ ( B @ ( A @ f20 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c32 @ ( A @ f11 ) ) @ ( B @ ( c32 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f15 @ ( C @ ( B @ ( A @ f20 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(19,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_19) ).
thf(80,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p14 ) )
| ~ ( A @ ( C @ p14 ) )
| ( B @ ( A @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p5 ) )
| ~ ( C @ ( A @ p3 ) )
| ( D @ ( C @ f6 ) @ ( B @ ( A @ f6 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p5 ) )
| ~ ( C @ ( A @ p3 ) )
| ( D @ ( C @ f6 ) @ ( B @ ( A @ f6 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f15 @ ( A @ f15 @ p14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_11) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f15 @ ( A @ f15 @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(30,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f19 ) ) @ ( C @ ( B @ ( A @ f19 ) ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_30) ).
thf(79,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f19 ) ) @ ( C @ ( B @ ( A @ f19 ) ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f8 @ ( A @ f8 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
thf(46,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p3 ) )
| ( B @ f8 @ ( A @ f8 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,negated_conjecture,
~ ( c29 @ ( c27 @ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f11 ) ) @ ( c28 @ ( c27 @ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f11 ) ) @ p10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).
thf(57,plain,
~ ( c29 @ ( c27 @ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f11 ) ) @ ( c28 @ ( c27 @ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f11 ) ) @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(36,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c27 @ ( A @ f11 ) ) @ ( B @ ( c27 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f16 @ ( C @ ( B @ ( A @ f18 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c27 @ ( A @ f11 ) ) @ ( B @ ( c27 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f16 @ ( C @ ( B @ ( A @ f18 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(33,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c30 @ ( A @ f11 ) ) @ ( B @ ( c30 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f16 @ ( C @ ( B @ ( A @ f17 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c30 @ ( A @ f11 ) ) @ ( B @ ( c30 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f16 @ ( C @ ( B @ ( A @ f17 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(31,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f18 ) ) @ ( C @ ( B @ ( A @ f18 ) ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_31) ).
thf(74,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f18 ) ) @ ( C @ ( B @ ( A @ f18 ) ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_6) ).
thf(45,plain,
! [A: $i] : ( A @ ( A @ p14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,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_17) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
thf(44,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(29,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f20 ) ) @ ( C @ ( B @ ( A @ f20 ) ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_29) ).
thf(59,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ p10 ) )
| ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p10 ) )
| ( F @ ( E @ ( D @ f20 ) ) @ ( C @ ( B @ ( A @ f20 ) ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
thf(71,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,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_15) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f16 @ ( A @ f16 @ p14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_12) ).
thf(49,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f16 @ ( A @ f16 @ p14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(48,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f17 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c30 @ ( A @ f11 ) ) @ ( B @ ( c30 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_38) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f17 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c30 @ ( A @ f11 ) ) @ ( B @ ( c30 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(18,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_18) ).
thf(50,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(22,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p10 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_22) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p10 ) )
| ~ ( C @ ( A @ p10 ) )
| ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(35,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c31 @ ( A @ f11 ) ) @ ( B @ ( c31 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f16 @ ( C @ ( B @ ( A @ f19 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_35) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( c31 @ ( A @ f11 ) ) @ ( B @ ( c31 @ ( A @ f11 ) ) @ p10 ) )
| ( A @ f16 @ ( C @ ( B @ ( A @ f19 ) ) @ p22 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(14,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_14) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(40,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f19 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c31 @ ( A @ f11 ) ) @ ( B @ ( c31 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_40) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ f19 ) ) @ ( B @ f13 ) @ f12 @ ( C @ ( B @ f13 ) @ f12 @ p21 ) )
| ( C @ ( c31 @ ( A @ f11 ) ) @ ( B @ ( c31 @ ( A @ f11 ) ) @ p10 ) )
| ( c24 @ f8 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p22 ) )
| ~ ( B @ ( C @ p14 ) )
| ( B @ ( A @ p22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_20) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p10 ) )
| ~ ( C @ ( D @ p22 ) )
| ~ ( B @ ( C @ p14 ) )
| ( B @ ( A @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
thf(47,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(27,negated_conjecture,
! [A: $i] :
( ~ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f15 @ ( A @ p22 ) )
| ( A @ ( c28 @ f13 ) @ f12 @ ( c29 @ ( c28 @ f13 ) @ f12 @ p21 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
thf(68,plain,
! [A: $i] :
( ~ ( c26 @ ( c23 @ f7 ) @ ( c25 @ f6 ) @ f15 @ ( A @ p22 ) )
| ( A @ ( c28 @ f13 ) @ f12 @ ( c29 @ ( c28 @ f13 ) @ f12 @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(28,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ p10 ) )
| ~ ( E @ ( B @ p9 ) )
| ~ ( D @ ( A @ p2 ) )
| ( F @ ( E @ ( D @ f11 ) ) @ ( C @ ( B @ ( A @ f11 ) ) @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_28) ).
thf(62,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ p10 ) )
| ~ ( E @ ( B @ p9 ) )
| ~ ( D @ ( A @ p2 ) )
| ( F @ ( E @ ( D @ f11 ) ) @ ( C @ ( B @ ( A @ f11 ) ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(114,plain,
$false,
inference(e,[status(thm)],[69,56,42,52,60,70,65,53,77,41,73,76,66,80,55,51,79,46,57,78,61,74,45,64,44,59,71,54,49,48,63,50,67,72,43,75,58,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN634-1 : 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
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 18:16:51 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 0.85/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.19 % [INFO] Parsing done (213ms).
% 1.41/1.20 % [INFO] Running in sequential loop mode.
% 2.04/1.60 % [INFO] eprover registered as external prover.
% 2.04/1.61 % [INFO] Scanning for conjecture ...
% 2.23/1.79 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.65/1.91 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.65/1.91 % [INFO] Problem is propositional (TPTP CNF).
% 2.65/1.92 % [INFO] Type checking passed.
% 2.65/1.92 % [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 ...
% 4.24/2.69 % External prover 'e' found a proof!
% 4.24/2.69 % [INFO] Killing All external provers ...
% 4.24/2.69 % Time passed: 2165ms (effective reasoning time: 1485ms)
% 4.24/2.69 % Axioms used in derivation (0):
% 4.24/2.69 % No. of inferences in proof: 81
% 4.24/2.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2165 ms resp. 1485 ms w/o parsing
% 4.61/2.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.61/2.78 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------