%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL028+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : Tue Sep 29 12:33:54 PM UTC 2026
% Result : Theorem 10.83s 2.46s
% Output : Refutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 20
% Syntax : Number of formulae : 168 ( 163 unt; 7 def)
% Number of atoms : 178 ( 177 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 174 ( 170 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> composition(X0,X1) = meet(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> composition(X0,X1) = meet(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( meet(X0,X1) != composition(X0,X1)
& join(X0,one) = one
& join(X1,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
? [X0,X1] :
( meet(X0,X1) != composition(X0,X1)
& join(X0,one) = one
& join(X1,one) = one ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( meet(sK0,sK1) != composition(sK0,sK1)
& one = join(sK0,one)
& one = join(sK1,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
one = join(sK1,one),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
meet(sK0,sK1) != composition(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
fof(f36,plain,
composition(sK0,sK1) != complement(join(complement(sK0),complement(sK1))),
inference(definition_unfolding,[],[f34,f22]) ).
fof(f37,definition,
sF2 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
composition(sK0,sK1) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
complement(sK0) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
complement(sK1) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f44,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f46,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
sF2 != sF6,
inference(definition_folding,[],[f36,f46,f44,f42,f40,f38]) ).
fof(f48,definition,
sF7 = join(sK0,one),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f49,plain,
join(sK0,one) = sF7,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
one = sF7,
inference(definition_folding,[],[f33,f49]) ).
fof(f51,definition,
sF8 = join(sK1,one),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f52,plain,
join(sK1,one) = sF8,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
one = sF8,
inference(definition_folding,[],[f32,f52]) ).
fof(f54,plain,
one = join(sK0,one),
inference(forward_demodulation,[],[f49,f50]) ).
fof(f55,plain,
one = join(sK1,one),
inference(forward_demodulation,[],[f52,f53]) ).
fof(f67,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f28,f26]) ).
fof(f82,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f21,f19]) ).
fof(f83,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f21,f19]) ).
fof(f84,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f21,f19]) ).
fof(f86,plain,
one = join(one,sK0),
inference(superposition,[],[f54,f19]) ).
fof(f110,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f25,f28]) ).
fof(f127,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f20,f21]) ).
fof(f133,plain,
! [X0] : join(sF3,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f20,f44]) ).
fof(f137,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f19,f20]) ).
fof(f160,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f110,f28]) ).
fof(f170,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f160,f27]) ).
fof(f173,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f170,f27]) ).
fof(f175,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f173,f28]) ).
fof(f186,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f26,f175]) ).
fof(f197,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f186,f26]) ).
fof(f211,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF2,composition(sK0,X0)),
inference(superposition,[],[f197,f38]) ).
fof(f297,plain,
zero = complement(join(sF6,complement(sF6))),
inference(superposition,[],[f35,f46]) ).
fof(f318,plain,
zero = complement(top),
inference(forward_demodulation,[],[f297,f30]) ).
fof(f328,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f20,f30]) ).
fof(f349,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f67,f24]) ).
fof(f363,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f349,f26]) ).
fof(f377,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f25,f363]) ).
fof(f385,plain,
one = converse(one),
inference(superposition,[],[f24,f363]) ).
fof(f395,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f377,f385]) ).
fof(f539,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f363,f385]) ).
fof(f556,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f29,f539]) ).
fof(f571,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f556,f363]) ).
fof(f588,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f127,f571]) ).
fof(f592,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f588,f21]) ).
fof(f609,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f592,f19]) ).
fof(f614,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f592,f35]) ).
fof(f670,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f137,f592]) ).
fof(f790,plain,
composition(sK0,one) = join(sF2,composition(sK0,one)),
inference(superposition,[],[f211,f55]) ).
fof(f818,plain,
sK0 = join(sF2,sK0),
inference(forward_demodulation,[],[f790,f24]) ).
fof(f834,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(join(complement(X0),complement(complement(X0))),complement(join(X1,zero))),
inference(superposition,[],[f609,f35]) ).
fof(f884,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(complement(complement(X0)),complement(join(X1,zero)))),
inference(forward_demodulation,[],[f834,f20]) ).
fof(f886,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,complement(join(X1,zero))),
inference(forward_demodulation,[],[f884,f328]) ).
fof(f887,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f886,f614]) ).
fof(f888,plain,
! [X1] : top = join(top,complement(X1)),
inference(forward_demodulation,[],[f887,f30]) ).
fof(f894,plain,
! [X0] : join(complement(join(complement(X0),complement(top))),complement(top)) = X0,
inference(superposition,[],[f83,f888]) ).
fof(f899,plain,
! [X0] : join(complement(join(complement(X0),zero)),zero) = X0,
inference(forward_demodulation,[],[f894,f318]) ).
fof(f901,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f899,f614]) ).
fof(f902,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f901,f614]) ).
fof(f904,plain,
sK0 = complement(sF3),
inference(superposition,[],[f902,f40]) ).
fof(f905,plain,
sK1 = complement(sF4),
inference(superposition,[],[f902,f42]) ).
fof(f906,plain,
sF5 = complement(sF6),
inference(superposition,[],[f902,f46]) ).
fof(f908,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f21,f902]) ).
fof(f911,plain,
! [X0] : top = join(complement(X0),X0),
inference(superposition,[],[f30,f902]) ).
fof(f914,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f82,f902]) ).
fof(f916,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,complement(X1))),complement(join(X1,X0))),
inference(superposition,[],[f83,f902]) ).
fof(f922,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f592,f902]) ).
fof(f923,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f609,f902]) ).
fof(f924,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f888,f902]) ).
fof(f960,plain,
complement(sF3) = join(complement(sF3),complement(sF5)),
inference(superposition,[],[f922,f44]) ).
fof(f991,plain,
complement(sF3) = join(complement(sF3),sF6),
inference(forward_demodulation,[],[f960,f46]) ).
fof(f1008,plain,
sK0 = join(sK0,sF6),
inference(forward_demodulation,[],[f991,f904]) ).
fof(f1092,plain,
! [X0,X1] : join(X1,top) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f137,f911]) ).
fof(f1094,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f20,f911]) ).
fof(f1104,plain,
! [X0,X1] : top = join(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f1094,f924]) ).
fof(f1118,plain,
! [X1] : top = join(X1,top),
inference(forward_demodulation,[],[f1104,f1092]) ).
fof(f1207,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f84,f914]) ).
fof(f1208,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f21,f914]) ).
fof(f1231,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1208,f670]) ).
fof(f1232,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),X0),
inference(forward_demodulation,[],[f1207,f902]) ).
fof(f1280,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1231,f902]) ).
fof(f1281,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f1232,f670]) ).
fof(f1326,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1280,f19]) ).
fof(f1486,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(complement(complement(join(complement(X0),complement(X1)))),complement(join(X1,complement(X0)))),
inference(superposition,[],[f1326,f83]) ).
fof(f1500,plain,
join(one,complement(one)) = join(complement(sK1),one),
inference(superposition,[],[f1326,f55]) ).
fof(f1559,plain,
join(one,complement(one)) = join(sF4,one),
inference(forward_demodulation,[],[f1500,f42]) ).
fof(f1565,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f1486,f902]) ).
fof(f1586,plain,
top = join(sF4,one),
inference(forward_demodulation,[],[f1559,f30]) ).
fof(f1591,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f1565,f20]) ).
fof(f1606,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X1,complement(X0))),complement(X0)),
inference(forward_demodulation,[],[f1591,f922]) ).
fof(f1757,plain,
complement(sF6) = join(complement(sF6),complement(sK0)),
inference(superposition,[],[f923,f1008]) ).
fof(f1760,plain,
complement(sF4) = join(complement(sF4),complement(sF5)),
inference(superposition,[],[f923,f44]) ).
fof(f1804,plain,
complement(sF4) = join(complement(sF4),sF6),
inference(forward_demodulation,[],[f1760,f46]) ).
fof(f1805,plain,
complement(sF6) = join(complement(sF6),sF3),
inference(forward_demodulation,[],[f1757,f40]) ).
fof(f1829,plain,
sK1 = join(sK1,sF6),
inference(forward_demodulation,[],[f1804,f905]) ).
fof(f1830,plain,
sF5 = join(sF5,sF3),
inference(forward_demodulation,[],[f1805,f906]) ).
fof(f1865,plain,
join(sK1,complement(sK1)) = join(complement(sF6),sK1),
inference(superposition,[],[f1280,f1829]) ).
fof(f1867,plain,
join(sK1,complement(sK1)) = join(sF5,sK1),
inference(forward_demodulation,[],[f1865,f906]) ).
fof(f1871,plain,
top = join(sF5,sK1),
inference(forward_demodulation,[],[f1867,f30]) ).
fof(f2216,plain,
join(complement(sF5),sF5) = join(complement(sF3),sF5),
inference(superposition,[],[f1281,f1830]) ).
fof(f2218,plain,
join(complement(sF5),sF5) = join(sK0,sF5),
inference(forward_demodulation,[],[f2216,f904]) ).
fof(f2222,plain,
top = join(sK0,sF5),
inference(forward_demodulation,[],[f2218,f911]) ).
fof(f3208,plain,
complement(sF2) = join(complement(join(sF2,complement(sK0))),complement(sK0)),
inference(superposition,[],[f908,f818]) ).
fof(f3287,plain,
complement(sF2) = join(complement(sK0),complement(sF2)),
inference(forward_demodulation,[],[f3208,f1606]) ).
fof(f3356,plain,
complement(sF2) = join(sF3,complement(sF2)),
inference(forward_demodulation,[],[f3287,f40]) ).
fof(f5054,plain,
! [X0] : composition(one,X0) = join(X0,composition(sK0,X0)),
inference(superposition,[],[f395,f86]) ).
fof(f5075,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f5054,f539]) ).
fof(f5089,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f137,f5075]) ).
fof(f5391,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(join(composition(sK0,X0),complement(X0))),complement(X0)),
inference(superposition,[],[f916,f5075]) ).
fof(f5558,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f5391,f1606]) ).
fof(f5919,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f5558,f902]) ).
fof(f8470,plain,
join(sF3,top) = join(sF5,one),
inference(superposition,[],[f133,f1586]) ).
fof(f8486,plain,
join(sF5,complement(composition(sK0,complement(sF4)))) = join(sF3,complement(composition(sK0,complement(sF4)))),
inference(superposition,[],[f133,f5919]) ).
fof(f8538,plain,
join(sF5,complement(composition(sK0,sK1))) = join(sF3,complement(composition(sK0,sK1))),
inference(forward_demodulation,[],[f8486,f905]) ).
fof(f8551,plain,
top = join(sF5,one),
inference(forward_demodulation,[],[f8470,f1118]) ).
fof(f8561,plain,
join(sF3,complement(sF2)) = join(sF5,complement(sF2)),
inference(forward_demodulation,[],[f8538,f38]) ).
fof(f8574,plain,
complement(sF2) = join(sF5,complement(sF2)),
inference(forward_demodulation,[],[f8561,f3356]) ).
fof(f9225,plain,
! [X0,X1] : join(composition(sK0,X1),X0) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f5089,f197]) ).
fof(f9473,plain,
join(composition(sK0,one),sF5) = join(sF5,composition(sK0,top)),
inference(superposition,[],[f9225,f8551]) ).
fof(f9550,plain,
join(sK0,sF5) = join(sF5,composition(sK0,top)),
inference(forward_demodulation,[],[f9473,f24]) ).
fof(f9602,plain,
top = join(sF5,composition(sK0,top)),
inference(forward_demodulation,[],[f9550,f2222]) ).
fof(f10280,plain,
join(sF5,composition(sK0,top)) = join(composition(sK0,sK1),sF5),
inference(superposition,[],[f9225,f1871]) ).
fof(f10281,plain,
join(sF5,composition(sK0,top)) = join(sF2,sF5),
inference(forward_demodulation,[],[f10280,f38]) ).
fof(f10298,plain,
top = join(sF2,sF5),
inference(forward_demodulation,[],[f10281,f9602]) ).
fof(f10331,plain,
complement(sF5) = join(complement(join(sF5,complement(sF2))),complement(top)),
inference(superposition,[],[f916,f10298]) ).
fof(f10355,plain,
complement(sF5) = join(complement(join(sF5,complement(sF2))),zero),
inference(forward_demodulation,[],[f10331,f318]) ).
fof(f10369,plain,
complement(sF5) = complement(join(sF5,complement(sF2))),
inference(forward_demodulation,[],[f10355,f614]) ).
fof(f10376,plain,
complement(sF5) = complement(complement(sF2)),
inference(forward_demodulation,[],[f10369,f8574]) ).
fof(f10379,plain,
sF2 = complement(sF5),
inference(forward_demodulation,[],[f10376,f902]) ).
fof(f10380,plain,
sF2 = sF6,
inference(forward_demodulation,[],[f10379,f46]) ).
fof(f10381,plain,
$false,
inference(forward_subsumption_resolution,[],[f10380,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL028+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 % Computer : n010.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Sun Sep 27 22:54:02 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.44 Running first-order theorem proving
% 0.09/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.83/2.46 % (1391582)Detected formulas, will run a generic FOF schedule.
% 10.83/2.46 % (1391591)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3356167889:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.83/2.46 % (1391591)Instruction limit reached!
% 10.83/2.46 % (1391591)------------------------------
% 10.83/2.46 % (1391591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391591)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391591)Termination reason: Instruction limit
% 10.83/2.46 % (1391591)Termination phase: Saturation
% 10.83/2.46 % (1391591)Time elapsed: 0.034 s
% 10.83/2.46 % (1391591)Peak memory usage: 88 MB
% 10.83/2.46 % (1391591)Instructions burned: 121 (million)
% 10.83/2.46 % (1391588)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2365503267:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.83/2.46 % (1391587)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=610413649:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.83/2.46 % (1391590)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=722213437:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.83/2.46 % (1391589)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2759591152:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.83/2.46 % (1391592)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=734228648:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.83/2.46 % (1391593)dis-21_1_sil=8000:lcm=predicate:random_seed=4048978670:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.83/2.46 % (1391593)Refutation not found, incomplete strategy
% 10.83/2.46 % (1391593)------------------------------
% 10.83/2.46 % (1391593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391593)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391593)Termination reason: Refutation not found, incomplete strategy
% 10.83/2.46 % (1391593)Time elapsed: 0.001 s
% 10.83/2.46 % (1391593)Peak memory usage: 88 MB
% 10.83/2.46 % (1391593)Instructions burned: 1 (million)
% 10.83/2.46 % (1391590)Instruction limit reached!
% 10.83/2.46 % (1391590)------------------------------
% 10.83/2.46 % (1391590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391590)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391590)Termination reason: Instruction limit
% 10.83/2.46 % (1391590)Termination phase: Saturation
% 10.83/2.46 % (1391590)Time elapsed: 0.062 s
% 10.83/2.46 % (1391590)Peak memory usage: 89 MB
% 10.83/2.46 % (1391590)Instructions burned: 109 (million)
% 10.83/2.46 % (1391595)lrs+10_1_sil=8000:sp=occurrence:random_seed=2398957191:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.83/2.46 % (1391592)Instruction limit reached!
% 10.83/2.46 % (1391592)------------------------------
% 10.83/2.46 % (1391592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391592)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391592)Termination reason: Instruction limit
% 10.83/2.46 % (1391592)Termination phase: Saturation
% 10.83/2.46 % (1391592)Time elapsed: 0.081 s
% 10.83/2.46 % (1391592)Peak memory usage: 89 MB
% 10.83/2.46 % (1391592)Instructions burned: 139 (million)
% 10.83/2.46 % (1391595)Instruction limit reached!
% 10.83/2.46 % (1391595)------------------------------
% 10.83/2.46 % (1391595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391595)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391595)Termination reason: Instruction limit
% 10.83/2.46 % (1391595)Termination phase: Saturation
% 10.83/2.46 % (1391595)Time elapsed: 0.091 s
% 10.83/2.46 % (1391595)Peak memory usage: 92 MB
% 10.83/2.46 % (1391595)Instructions burned: 287 (million)
% 10.83/2.46 % (1391602)lrs+10_1_sil=32000:urr=on:br=off:random_seed=287345927:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.83/2.46 % (1391604)lrs+1011_1_sil=32000:sp=occurrence:random_seed=396731431:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.83/2.46 % (1391593)------------------------------
% 10.83/2.46 % (1391593)------------------------------
% 10.83/2.46 % (1391605)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4122153522:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.83/2.46 % (1391602)Instruction limit reached!
% 10.83/2.46 % (1391602)------------------------------
% 10.83/2.46 % (1391602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391602)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391602)Termination reason: Instruction limit
% 10.83/2.46 % (1391602)Termination phase: Saturation
% 10.83/2.46 % (1391602)Time elapsed: 0.088 s
% 10.83/2.46 % (1391602)Peak memory usage: 89 MB
% 10.83/2.46 % (1391602)Instructions burned: 158 (million)
% 10.83/2.46 % (1391605)Instruction limit reached!
% 10.83/2.46 % (1391605)------------------------------
% 10.83/2.46 % (1391605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391605)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391605)Termination reason: Instruction limit
% 10.83/2.46 % (1391605)Termination phase: Saturation
% 10.83/2.46 % (1391605)Time elapsed: 0.077 s
% 10.83/2.46 % (1391605)Peak memory usage: 91 MB
% 10.83/2.46 % (1391605)Instructions burned: 248 (million)
% 10.83/2.46 % (1391609)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4283957114:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.83/2.46 % (1391604)Instruction limit reached!
% 10.83/2.46 % (1391604)------------------------------
% 10.83/2.46 % (1391604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391604)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391604)Termination reason: Instruction limit
% 10.83/2.46 % (1391604)Termination phase: Saturation
% 10.83/2.46 % (1391604)Time elapsed: 0.195 s
% 10.83/2.46 % (1391604)Peak memory usage: 91 MB
% 10.83/2.46 % (1391604)Instructions burned: 326 (million)
% 10.83/2.46 % (1391610)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3525515213:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.83/2.46 % (1391611)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=143336683:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 10.83/2.46 % (1391611)Instruction limit reached!
% 10.83/2.46 % (1391611)------------------------------
% 10.83/2.46 % (1391611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391611)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391611)Termination reason: Instruction limit
% 10.83/2.46 % (1391611)Termination phase: Saturation
% 10.83/2.46 % (1391611)Time elapsed: 0.035 s
% 10.83/2.46 % (1391611)Peak memory usage: 90 MB
% 10.83/2.46 % (1391611)Instructions burned: 114 (million)
% 10.83/2.46 % (1391609)Instruction limit reached!
% 10.83/2.46 % (1391609)------------------------------
% 10.83/2.46 % (1391609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391609)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391609)Termination reason: Instruction limit
% 10.83/2.46 % (1391609)Termination phase: Saturation
% 10.83/2.46 % (1391609)Time elapsed: 0.167 s
% 10.83/2.46 % (1391609)Peak memory usage: 90 MB
% 10.83/2.46 % (1391609)Instructions burned: 294 (million)
% 10.83/2.46 % (1391616)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=237512589:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.83/2.46 % (1391613)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2784769430:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.83/2.46 % (1391613)Refutation not found, incomplete strategy
% 10.83/2.46 % (1391613)------------------------------
% 10.83/2.46 % (1391613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391613)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391613)Termination reason: Refutation not found, incomplete strategy
% 10.83/2.46 % (1391613)Time elapsed: 0.001 s
% 10.83/2.46 % (1391613)Peak memory usage: 88 MB
% 10.83/2.46 % (1391616)Instruction limit reached!
% 10.83/2.46 % (1391616)------------------------------
% 10.83/2.46 % (1391616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391616)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391616)Termination reason: Instruction limit
% 10.83/2.46 % (1391616)Termination phase: Saturation
% 10.83/2.46 % (1391616)Time elapsed: 0.034 s
% 10.83/2.46 % (1391616)Peak memory usage: 89 MB
% 10.83/2.46 % (1391616)Instructions burned: 116 (million)
% 10.83/2.46 % (1391620)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3391423878:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.83/2.46 % (1391618)lrs+10_1_sil=8000:sp=occurrence:random_seed=877164060:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 10.83/2.46 % (1391620)Instruction limit reached!
% 10.83/2.46 % (1391620)------------------------------
% 10.83/2.46 % (1391620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391620)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391620)Termination reason: Instruction limit
% 10.83/2.46 % (1391620)Termination phase: Saturation
% 10.83/2.46 % (1391620)Time elapsed: 0.110 s
% 10.83/2.46 % (1391620)Peak memory usage: 89 MB
% 10.83/2.46 % (1391620)Instructions burned: 442 (million)
% 10.83/2.46 % (1391613)------------------------------
% 10.83/2.46 % (1391613)------------------------------
% 10.83/2.46 % (1391623)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2853662784:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.83/2.46 % (1391624)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=180070268:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 10.83/2.46 % (1391624)Refutation not found, incomplete strategy
% 10.83/2.46 % (1391624)------------------------------
% 10.83/2.46 % (1391624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391624)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391624)Termination reason: Refutation not found, incomplete strategy
% 10.83/2.46 % (1391624)Time elapsed: 0.002 s
% 10.83/2.46 % (1391624)Peak memory usage: 89 MB
% 10.83/2.46 % (1391624)Instructions burned: 1 (million)
% 10.83/2.46 % (1391587)First to succeed.
% 10.83/2.46 % (1391587)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1391582"
% 10.83/2.46 % (1391624)------------------------------
% 10.83/2.46 % (1391624)------------------------------
% 10.83/2.46 % (1391618)Instruction limit reached!
% 10.83/2.46 % (1391618)------------------------------
% 10.83/2.46 % (1391618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.46 % (1391618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.46 % (1391618)CaDiCaL version: 2.1.3
% 10.83/2.46 % (1391618)Termination reason: Instruction limit
% 10.83/2.46 % (1391618)Termination phase: Saturation
% 10.83/2.46 % (1391618)Time elapsed: 0.519 s
% 10.83/2.46 % (1391618)Peak memory usage: 96 MB
% 10.83/2.46 % (1391618)Instructions burned: 909 (million)
% 10.83/2.46 % (1391627)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1365500046:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.83/2.46 % (1391628)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=689249396:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.83/2.46 % (1391587)Refutation found. Thanks to Tanya!
% 10.83/2.46 % SZS status Theorem for theBenchmark
% 10.83/2.46 % SZS output start Proof for theBenchmark
% See solution above
% 11.75/2.66 % (1391587)------------------------------
% 11.75/2.66 % (1391587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/2.66 % (1391587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.66 % (1391587)CaDiCaL version: 2.1.3
% 11.75/2.66 % (1391587)Termination reason: Refutation
% 11.75/2.66 % (1391587)Time elapsed: 1.166 s
% 11.75/2.66 % (1391587)Peak memory usage: 136 MB
% 11.75/2.66 % (1391587)Instructions burned: 1835 (million)
% 11.75/2.66 % (1391587)------------------------------
% 11.75/2.66 % (1391587)------------------------------
% 11.75/2.66 % (1391582)Success in time 1.577 s
% 11.75/2.66 % Vampire exiting
%------------------------------------------------------------------------------