%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN627-1 : 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 : n018.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 09:18:00 AM UTC 2026
% Result : Unsatisfiable 8.35s 4.26s
% Output : Refutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 36
% Syntax : Number of formulae : 73 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 177 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 830 ( 104 ~; 104 |; 0 &; 622 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 24 usr; 10 con; 0-5 aty)
% Number of variables : 194 ( 0 ^; 194 !; 0 ?; 194 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(p6_decl,type,
p6: $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(p15_decl,type,
p15: $i > $i > $o ).
thf(c18_decl,type,
c18: $i ).
thf(c19_decl,type,
c19: $i ).
thf(c23_decl,type,
c23: $i ).
thf(c24_decl,type,
c24: $i ).
thf(f4_decl,type,
f4: $i > $i > $i ).
thf(f7_decl,type,
f7: $i > $i > $i ).
thf(c17_decl,type,
c17: $i ).
thf(c21_decl,type,
c21: $i ).
thf(p16_decl,type,
p16: $i > $i > $i > $i > $i > $o ).
thf(c20_decl,type,
c20: $i ).
thf(f9_decl,type,
f9: $i > $i > $i ).
thf(c22_decl,type,
c22: $i ).
thf(f14_decl,type,
f14: $i > $i ).
thf(f12_decl,type,
f12: $i > $i ).
thf(f13_decl,type,
f13: $i > $i ).
thf(c25_decl,type,
c25: $i ).
thf(f11_decl,type,
f11: $i > $i > $i > $i > $i > $i ).
thf(23,negated_conjecture,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( c25 @ ( A @ f14 @ ( A @ ( c19 @ f9 ) @ ( c20 @ ( c17 @ p16 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
thf(69,plain,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( c25 @ ( A @ f14 @ ( A @ ( c19 @ f9 ) @ ( c20 @ ( c17 @ p16 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c22 @ ( A @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( D @ ( B @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c22 @ ( A @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( D @ ( B @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p15 ) )
| ~ ( B @ ( D @ p8 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_24) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p15 ) )
| ~ ( B @ ( D @ p8 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(34,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ f12 @ ( E @ ( B @ ( A @ ( c17 @ p16 ) ) ) ) )
| ~ ( B @ ( C @ p15 ) )
| ( D @ ( C @ ( E @ ( B @ ( D @ ( A @ f11 ) ) ) ) @ ( C @ ( B @ f9 ) @ ( A @ ( c17 @ p16 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_34) ).
thf(61,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ f12 @ ( E @ ( B @ ( A @ ( c17 @ p16 ) ) ) ) )
| ~ ( B @ ( C @ p15 ) )
| ( D @ ( C @ ( E @ ( B @ ( D @ ( A @ f11 ) ) ) ) @ ( C @ ( B @ f9 ) @ ( A @ ( c17 @ p16 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( c17 @ f7 ) @ f4 ) @ ( B @ ( c17 @ f7 ) @ f4 ) @ ( C @ ( B @ ( c17 @ f7 ) @ f4 ) @ ( A @ ( c17 @ f7 ) @ f4 ) @ p3 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_32) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( c17 @ f7 ) @ f4 ) @ ( B @ ( c17 @ f7 ) @ f4 ) @ ( C @ ( B @ ( c17 @ f7 ) @ f4 ) @ ( A @ ( c17 @ f7 ) @ f4 ) @ p3 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( H @ ( F @ ( I @ ( G @ p16 ) ) ) ) )
| ~ ( E @ ( J @ p10 ) )
| ~ ( B @ ( I @ p3 ) )
| ~ ( D @ ( H @ p3 ) )
| ~ ( A @ ( G @ p5 ) )
| ~ ( C @ ( F @ p8 ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ p16 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_35) ).
thf(65,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ ( H @ ( F @ ( I @ ( G @ p16 ) ) ) ) )
| ~ ( E @ ( J @ p10 ) )
| ~ ( B @ ( I @ p3 ) )
| ~ ( D @ ( H @ p3 ) )
| ~ ( A @ ( G @ p5 ) )
| ~ ( C @ ( F @ p8 ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ p16 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p8 ) )
| ~ ( D @ ( B @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_25) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p8 ) )
| ~ ( D @ ( B @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
thf(41,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
thf(39,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(16,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_16) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(33,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ f12 @ ( A @ ( E @ ( C @ ( c17 @ p16 ) ) ) ) )
| ~ ( E @ ( B @ p15 ) )
| ( B @ ( A @ ( E @ ( D @ ( C @ f11 ) ) ) ) @ ( B @ ( c17 @ f7 ) @ f4 ) @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_33) ).
thf(58,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ f12 @ ( A @ ( E @ ( C @ ( c17 @ p16 ) ) ) ) )
| ~ ( E @ ( B @ p15 ) )
| ( B @ ( A @ ( E @ ( D @ ( C @ f11 ) ) ) ) @ ( B @ ( c17 @ f7 ) @ f4 ) @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,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_15) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,negated_conjecture,
c21 @ ( c18 @ ( c17 @ f7 ) @ f4 ) @ ( c23 @ p3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
thf(42,plain,
c21 @ ( c18 @ ( c17 @ f7 ) @ f4 ) @ ( c23 @ p3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
thf(37,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
c19 @ ( c18 @ p15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_7) ).
thf(46,plain,
c19 @ ( c18 @ p15 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,negated_conjecture,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( A @ f13 @ ( A @ ( c17 @ f7 ) @ f4 ) @ ( c23 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).
thf(57,plain,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( A @ f13 @ ( A @ ( c17 @ f7 ) @ f4 ) @ ( c23 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,negated_conjecture,
c22 @ ( c21 @ ( c18 @ ( c19 @ f9 ) @ ( c20 @ ( c17 @ p16 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_10) ).
thf(38,plain,
c22 @ ( c21 @ ( c18 @ ( c19 @ f9 ) @ ( c20 @ ( c17 @ p16 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(36,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( D @ p3 ) )
| ~ ( F @ ( A @ p3 ) )
| ~ ( G @ ( B @ p10 ) )
| ~ ( H @ ( C @ p8 ) )
| ~ ( J @ ( E @ p6 ) )
| ( J @ ( I @ ( H @ ( G @ ( F @ f11 ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_36) ).
thf(70,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( D @ p3 ) )
| ~ ( F @ ( A @ p3 ) )
| ~ ( G @ ( B @ p10 ) )
| ~ ( H @ ( C @ p8 ) )
| ~ ( J @ ( E @ p6 ) )
| ( J @ ( I @ ( H @ ( G @ ( F @ f11 ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f12 @ ( A @ f12 @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_12) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p10 ) )
| ( B @ f12 @ ( A @ f12 @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
thf(64,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
thf(44,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_17) ).
thf(59,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(30,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c22 @ f12 @ ( A @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( c25 @ ( B @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c22 @ f12 @ ( A @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( c25 @ ( B @ ( C @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(20,negated_conjecture,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( A @ f14 @ ( A @ ( c17 @ f7 ) @ f4 ) @ ( c24 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
thf(54,plain,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( A @ f14 @ ( A @ ( c17 @ f7 ) @ f4 ) @ ( c24 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(8,negated_conjecture,
~ ( c24 @ ( c23 @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
thf(49,plain,
~ ( c24 @ ( c23 @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f14 @ ( A @ f14 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
thf(48,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f14 @ ( A @ f14 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f4 ) @ ( B @ ( A @ f4 ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p3 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f4 ) @ ( B @ ( A @ f4 ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).
thf(50,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c22 @ f12 @ ( C @ ( A @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( c25 @ ( B @ ( A @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( c25 @ ( c22 @ f12 @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_31) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c22 @ f12 @ ( C @ ( A @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( c25 @ ( B @ ( A @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( c25 @ ( c22 @ f12 @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(19,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_19) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f13 @ ( A @ f13 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f13 @ ( A @ f13 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(40,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c22 @ ( D @ ( B @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( A @ ( C @ ( B @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( A @ ( c22 @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_29) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c22 @ ( D @ ( B @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ~ ( A @ ( C @ ( B @ ( c20 @ ( c17 @ p16 ) ) ) ) )
| ( A @ ( c22 @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(18,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_18) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p6 ) )
| ~ ( C @ ( A @ p5 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
thf(68,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p6 ) )
| ~ ( C @ ( A @ p5 ) )
| ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(22,negated_conjecture,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( c22 @ ( A @ f13 @ ( A @ ( c19 @ f9 ) @ ( c20 @ ( c17 @ p16 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_22) ).
thf(62,plain,
! [A: $i] :
( ~ ( c19 @ ( A @ p15 ) )
| ( c22 @ ( A @ f13 @ ( A @ ( c19 @ f9 ) @ ( c20 @ ( c17 @ p16 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(118,plain,
$false,
inference(e,[status(thm)],[69,56,52,61,60,65,53,41,39,66,58,51,42,37,46,57,38,70,45,64,44,59,71,54,49,48,63,50,67,72,43,40,55,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.13 % 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
% 0.24/0.50 % Computer : n018.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Sat Sep 26 18:19:08 UTC 2026
% 0.26/0.51 % CPUTime :
% 0.26/0.51 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
% 1.41/1.38 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.20/1.70 % [INFO] Parsing done (314ms).
% 2.20/1.73 % [INFO] Running in sequential loop mode.
% 3.24/2.36 % [INFO] eprover registered as external prover.
% 3.24/2.38 % [INFO] Scanning for conjecture ...
% 3.84/2.63 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 4.27/2.80 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 4.27/2.80 % [INFO] Problem is propositional (TPTP CNF).
% 4.27/2.81 % [INFO] Type checking passed.
% 4.27/2.81 % [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 ...
% 8.35/4.25 % External prover 'e' found a proof!
% 8.35/4.25 % [INFO] Killing All external provers ...
% 8.35/4.25 % Time passed: 3520ms (effective reasoning time: 2517ms)
% 8.35/4.26 % Axioms used in derivation (0):
% 8.35/4.26 % No. of inferences in proof: 73
% 8.35/4.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3520 ms resp. 2517 ms w/o parsing
% 8.66/4.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.66/4.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------