%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN641-1 : 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 09:18:02 AM UTC 2026
% Result : Unsatisfiable 6.50s 8.17s
% Output : Refutation 6.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 42
% Syntax : Number of formulae : 85 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 201 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 796 ( 102 ~; 116 |; 0 &; 578 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 4 con; 0-3 aty)
% Number of variables : 164 ( 0 ^; 164 !; 0 ?; 164 :)
% Comments :
%------------------------------------------------------------------------------
thf(p15_decl,type,
p15: $i > $o ).
thf(f3_decl,type,
f3: $i > $i ).
thf(c19_decl,type,
c19: $i ).
thf(c18_decl,type,
c18: $i ).
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p16_decl,type,
p16: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(f8_decl,type,
f8: $i > $i ).
thf(f5_decl,type,
f5: $i > $i ).
thf(f7_decl,type,
f7: $i > $i ).
thf(f13_decl,type,
f13: $i > $i ).
thf(f10_decl,type,
f10: $i > $i > $i ).
thf(f9_decl,type,
f9: $i > $i > $i ).
thf(c20_decl,type,
c20: $i ).
thf(p17_decl,type,
p17: $i > $i > $i > $o ).
thf(f14_decl,type,
f14: $i > $i > $i ).
thf(32,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c18 @ ( B @ ( A @ p17 ) ) )
| ( c18 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_32) ).
thf(69,plain,
! [B: $i,A: $i] :
( ~ ( c18 @ ( B @ ( A @ p17 ) ) )
| ( c18 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(42,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ f10 ) @ ( B @ ( A @ p17 ) ) )
| ~ ( D @ ( B @ ( A @ p17 ) ) )
| ~ ( C @ p15 )
| ~ ( D @ p15 )
| ( C @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_42) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ f10 ) @ ( B @ ( A @ p17 ) ) )
| ~ ( D @ ( B @ ( A @ p17 ) ) )
| ~ ( C @ p15 )
| ~ ( D @ p15 )
| ( C @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(11,negated_conjecture,
c19 @ f5 @ ( c19 @ f3 @ f5 @ p4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
thf(52,plain,
c19 @ f5 @ ( c19 @ f3 @ f5 @ p4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).
thf(84,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
thf(60,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(34,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(38,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ f7 @ ( A @ f7 @ f9 ) @ ( B @ ( A @ f10 ) @ f7 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_38) ).
thf(65,plain,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ f7 @ ( A @ f7 @ f9 ) @ ( B @ ( A @ f10 ) @ f7 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_8) ).
thf(53,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p11 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
thf(77,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p11 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_7) ).
thf(73,plain,
! [A: $i] : ( A @ ( A @ p16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,negated_conjecture,
c19 @ f7 @ ( c19 @ f3 @ f7 @ p6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_13) ).
thf(66,plain,
c19 @ f7 @ ( c19 @ f3 @ f7 @ p6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(26,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p16 ) )
| ~ ( A @ ( C @ p16 ) )
| ( B @ ( A @ p16 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_26) ).
thf(80,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p16 ) )
| ~ ( A @ ( C @ p16 ) )
| ( B @ ( A @ p16 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ~ ( B @ p15 )
| ( A @ p15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_15) ).
thf(55,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ~ ( B @ p15 )
| ( A @ p15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f7 @ ( A @ f7 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_18) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f7 @ ( A @ f7 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(40,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ p15 )
| ~ ( C @ p15 )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ p17 ) ) )
| ( C @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_40) ).
thf(79,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ p15 )
| ~ ( C @ p15 )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ p17 ) ) )
| ( C @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(30,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c18 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c18 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_30) ).
thf(83,plain,
! [B: $i,A: $i] :
( ~ ( c18 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c18 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(1,negated_conjecture,
c19 @ f3 @ p15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
thf(46,plain,
c19 @ f3 @ p15,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_24) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(31,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c19 @ ( B @ ( A @ p17 ) ) )
| ( c19 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_31) ).
thf(78,plain,
! [B: $i,A: $i] :
( ~ ( c19 @ ( B @ ( A @ p17 ) ) )
| ( c19 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(29,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c19 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c19 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_29) ).
thf(61,plain,
! [B: $i,A: $i] :
( ~ ( c19 @ f3 @ ( B @ ( A @ p17 ) ) )
| ( c19 @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(39,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( F @ p17 ) ) )
| ~ ( A @ ( F @ p11 ) )
| ~ ( B @ ( E @ p16 ) )
| ~ ( C @ ( D @ p2 ) )
| ( C @ ( B @ ( A @ p17 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_39) ).
thf(74,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( F @ p17 ) ) )
| ~ ( A @ ( F @ p11 ) )
| ~ ( B @ ( E @ p16 ) )
| ~ ( C @ ( D @ p2 ) )
| ( C @ ( B @ ( A @ p17 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(14,negated_conjecture,
c18 @ f8 @ ( c18 @ f3 @ f8 @ p6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
thf(45,plain,
c18 @ f8 @ ( c18 @ f3 @ f8 @ p6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,negated_conjecture,
~ ( c18 @ f7 @ ( c19 @ f7 @ f9 ) @ ( c18 @ f3 @ ( c19 @ f3 @ f10 ) @ f7 @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_28) ).
thf(64,plain,
~ ( c18 @ f7 @ ( c19 @ f7 @ f9 ) @ ( c18 @ f3 @ ( c19 @ f3 @ f10 ) @ f7 @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,negated_conjecture,
c18 @ f5 @ ( c18 @ f3 @ f5 @ p4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_10) ).
thf(44,plain,
c18 @ f5 @ ( c18 @ f3 @ f5 @ p4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,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_25) ).
thf(59,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_22) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p11 ) )
| ~ ( A @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
thf(54,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
c18 @ f3 @ p15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
thf(49,plain,
c18 @ f3 @ p15,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_23) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_35) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,negated_conjecture,
c19 @ f8 @ ( c19 @ f3 @ f8 @ p6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
thf(48,plain,
c19 @ f8 @ ( c19 @ f3 @ f8 @ p6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(33,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_33) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(12,negated_conjecture,
c18 @ f7 @ ( c18 @ f3 @ f7 @ p6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_12) ).
thf(50,plain,
c18 @ f7 @ ( c18 @ f3 @ f7 @ p6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(41,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( A @ p17 ) ) )
| ~ ( D @ p15 )
| ~ ( C @ p15 )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_41) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( A @ p17 ) ) )
| ~ ( D @ p15 )
| ~ ( C @ p15 )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ p17 ) ) )
| ( c20 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(27,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_27) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
thf(43,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_3) ).
thf(75,plain,
! [A: $i] : ( A @ ( A @ p11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(37,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ f5 @ ( A @ f5 @ f14 ) @ ( B @ ( A @ f10 ) @ f5 @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_37) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ f5 @ ( A @ f5 @ f14 ) @ ( B @ ( A @ f10 ) @ f5 @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(36,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ f8 @ ( A @ f8 @ f9 ) @ ( B @ ( A @ f10 ) @ f8 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_36) ).
thf(82,plain,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ f8 @ ( A @ f8 @ f9 ) @ ( B @ ( A @ f10 ) @ f8 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
thf(47,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f8 @ ( A @ f8 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_17) ).
thf(68,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f8 @ ( A @ f8 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(21,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ ( A @ f10 ) @ p15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_21) ).
thf(62,plain,
! [B: $i,A: $i] :
( ~ ( B @ p15 )
| ~ ( A @ p15 )
| ( B @ ( A @ f10 ) @ p15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(142,plain,
$false,
inference(e,[status(thm)],[69,56,52,84,60,70,65,53,77,73,66,80,55,51,79,83,46,57,78,61,74,45,64,44,59,71,54,49,81,76,48,63,50,67,72,43,75,58,82,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN641-1 : 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
% 0.07/5.40 % Computer : n013.cluster.edu
% 0.07/5.40 % Model : x86_64 x86_64
% 0.07/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.40 % Memory : 8046.5625MB
% 0.07/5.40 % OS : Linux 6.8.0-71-generic
% 0.07/5.40 % CPULimit : 300
% 0.07/5.40 % WCLimit : 300
% 0.07/5.40 % DateTime : Sat Sep 26 18:17:27 UTC 2026
% 0.07/5.40 % CPUTime :
% 0.07/5.40 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
% 0.17/6.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.38/6.23 % [INFO] Parsing done (213ms).
% 1.38/6.24 % [INFO] Running in sequential loop mode.
% 2.14/6.64 % [INFO] eprover registered as external prover.
% 2.14/6.65 % [INFO] Scanning for conjecture ...
% 2.56/6.81 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.80/6.91 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.80/6.92 % [INFO] Problem is propositional (TPTP CNF).
% 2.80/6.92 % [INFO] Type checking passed.
% 2.80/6.93 % [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 ...
% 6.50/8.16 % External prover 'e' found a proof!
% 6.50/8.16 % [INFO] Killing All external provers ...
% 6.50/8.17 % Time passed: 2621ms (effective reasoning time: 1915ms)
% 6.50/8.17 % Axioms used in derivation (0):
% 6.50/8.17 % No. of inferences in proof: 85
% 6.50/8.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2621 ms resp. 1915 ms w/o parsing
% 6.66/8.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.66/8.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------