%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL025-1 : 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 : n014.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 12:33:51 PM UTC 2026
% Result : Unsatisfiable 19.29s 4.03s
% Output : Refutation 20.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 17
% Syntax : Number of formulae : 237 ( 237 unt; 2 def)
% Number of atoms : 237 ( 236 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 272 ( 272 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,negated_conjecture,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
converse(sk1) != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
sk1 != converse(sk1),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,definition,
sF0 = join(sk1,one),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
join(sk1,one) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,plain,
one = sF0,
inference(definition_folding,[],[f18,f23]) ).
fof(f25,definition,
sF1 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
converse(sk1) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
sk1 != sF1,
inference(definition_folding,[],[f20,f26]) ).
fof(f28,plain,
zero = complement(top),
inference(backward_demodulation,[],[f21,f15]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f30,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f31,plain,
one = join(sk1,one),
inference(forward_demodulation,[],[f23,f24]) ).
fof(f32,plain,
one = join(one,sk1),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f38,plain,
sk1 = converse(sF1),
inference(superposition,[],[f10,f26]) ).
fof(f40,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f30,f15]) ).
fof(f41,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f40,f28]) ).
fof(f47,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f30,f1]) ).
fof(f56,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f64,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f66,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f69,plain,
! [X0] : join(one,join(sk1,X0)) = join(one,X0),
inference(superposition,[],[f2,f32]) ).
fof(f76,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f100,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f29,f28]) ).
fof(f103,plain,
! [X0] : complement(X0) = join(complement(X0),composition(sF1,complement(composition(sk1,X0)))),
inference(superposition,[],[f29,f26]) ).
fof(f113,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f114,plain,
! [X0] : converse(composition(sk1,X0)) = composition(converse(X0),sF1),
inference(superposition,[],[f12,f26]) ).
fof(f128,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f47,f15]) ).
fof(f135,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f145,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f151,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f145,f28]) ).
fof(f155,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f41,f151]) ).
fof(f158,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f151,f155]) ).
fof(f171,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f30,f155]) ).
fof(f174,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f47,f155]) ).
fof(f184,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f171,f1]) ).
fof(f197,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))),
inference(superposition,[],[f171,f171]) ).
fof(f202,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f213,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(join(X0,complement(X1)),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f202,f1]) ).
fof(f219,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f213,f2]) ).
fof(f222,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f219,f155]) ).
fof(f224,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f222,f155]) ).
fof(f268,plain,
! [X2,X0,X1] : composition(join(X2,converse(X1)),converse(X0)) = join(composition(X2,converse(X0)),converse(composition(X0,X1))),
inference(superposition,[],[f9,f12]) ).
fof(f287,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f174,f1]) ).
fof(f360,plain,
join(one,complement(sk1)) = join(one,top),
inference(superposition,[],[f69,f15]) ).
fof(f374,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(join(X0,X1),complement(X0)),
inference(superposition,[],[f64,f171]) ).
fof(f378,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f64,f1]) ).
fof(f379,plain,
! [X0,X1] : join(top,join(complement(complement(X1)),X0)) = join(X1,join(top,X0)),
inference(superposition,[],[f64,f64]) ).
fof(f385,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(join(complement(complement(X1)),X0),X1)),complement(join(top,X0))),
inference(superposition,[],[f174,f64]) ).
fof(f388,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(join(complement(complement(X1)),X0),X1))),
inference(forward_demodulation,[],[f385,f1]) ).
fof(f391,plain,
! [X0,X1] : join(X1,join(top,X0)) = join(top,join(X1,X0)),
inference(forward_demodulation,[],[f379,f155]) ).
fof(f394,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f374,f1]) ).
fof(f398,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X1,join(complement(complement(X1)),X0)))),
inference(forward_demodulation,[],[f388,f1]) ).
fof(f401,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f394,f76]) ).
fof(f402,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(top,X0)),complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f398,f155]) ).
fof(f404,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f401,f378]) ).
fof(f549,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f113,f8]) ).
fof(f562,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f549,f10]) ).
fof(f573,plain,
one = converse(one),
inference(superposition,[],[f8,f562]) ).
fof(f575,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f562]) ).
fof(f577,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(converse(one)),complement(X0))),
inference(superposition,[],[f29,f562]) ).
fof(f578,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(forward_demodulation,[],[f577,f10]) ).
fof(f580,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(backward_demodulation,[],[f575,f573]) ).
fof(f581,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f562,f573]) ).
fof(f584,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f578,f581]) ).
fof(f598,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f56,f573]) ).
fof(f610,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f584,f155]) ).
fof(f612,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f64,f584]) ).
fof(f615,plain,
! [X0] : complement(complement(X0)) = join(zero,complement(complement(X0))),
inference(superposition,[],[f158,f584]) ).
fof(f623,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f615,f155]) ).
fof(f626,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f612,f15]) ).
fof(f640,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(backward_demodulation,[],[f100,f623]) ).
fof(f644,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f404,f626]) ).
fof(f660,plain,
! [X0,X1] : join(top,join(X1,X0)) = join(X1,top),
inference(backward_demodulation,[],[f391,f644]) ).
fof(f662,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(top),complement(join(X1,join(X1,X0)))),
inference(backward_demodulation,[],[f402,f644]) ).
fof(f673,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f662,f28]) ).
fof(f674,plain,
! [X1] : top = join(X1,top),
inference(forward_demodulation,[],[f660,f644]) ).
fof(f683,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(X1,join(X1,X0))),
inference(forward_demodulation,[],[f673,f623]) ).
fof(f687,plain,
top = join(one,complement(sk1)),
inference(backward_demodulation,[],[f360,f674]) ).
fof(f706,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f623]) ).
fof(f736,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f610]) ).
fof(f737,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f76,f610]) ).
fof(f738,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f76,f610]) ).
fof(f758,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(backward_demodulation,[],[f683,f737]) ).
fof(f1082,plain,
! [X0] : composition(one,X0) = join(X0,composition(sk1,X0)),
inference(superposition,[],[f580,f32]) ).
fof(f1118,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f1082,f581]) ).
fof(f1135,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f2,f1118]) ).
fof(f1142,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(join(composition(sk1,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f174,f1118]) ).
fof(f1144,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(sk1,converse(X0)))),
inference(superposition,[],[f56,f1118]) ).
fof(f1148,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(X0)),sF1)),
inference(forward_demodulation,[],[f1144,f114]) ).
fof(f1150,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(X0)),complement(join(composition(sk1,complement(X0)),X0))),
inference(forward_demodulation,[],[f1142,f1]) ).
fof(f1157,plain,
! [X0] : join(X0,composition(X0,sF1)) = X0,
inference(forward_demodulation,[],[f1148,f10]) ).
fof(f1159,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f1150,f758]) ).
fof(f1162,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f1159,f155]) ).
fof(f1165,plain,
one = join(one,sF1),
inference(superposition,[],[f1157,f581]) ).
fof(f1178,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(one,sF1),X0)),
inference(superposition,[],[f580,f1157]) ).
fof(f1184,plain,
! [X0] : composition(one,X0) = join(X0,composition(one,composition(sF1,X0))),
inference(forward_demodulation,[],[f1178,f7]) ).
fof(f1190,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF1,X0)),
inference(forward_demodulation,[],[f1184,f581]) ).
fof(f1194,plain,
! [X0] : join(X0,composition(sF1,X0)) = X0,
inference(forward_demodulation,[],[f1190,f581]) ).
fof(f1201,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sF1,X0),X1)),
inference(superposition,[],[f2,f1194]) ).
fof(f1610,plain,
! [X0] : complement(composition(sF1,X0)) = join(complement(X0),complement(join(composition(sF1,X0),complement(X0)))),
inference(superposition,[],[f184,f1194]) ).
fof(f1627,plain,
complement(sF1) = join(complement(one),complement(join(sF1,complement(one)))),
inference(superposition,[],[f184,f1165]) ).
fof(f1652,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f174,f184]) ).
fof(f1659,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f736,f184]) ).
fof(f1660,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1659,f1]) ).
fof(f1665,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f1652,f1]) ).
fof(f1693,plain,
! [X0] : complement(composition(sF1,X0)) = join(complement(X0),complement(join(complement(X0),composition(sF1,X0)))),
inference(forward_demodulation,[],[f1610,f758]) ).
fof(f1702,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f224,f1660]) ).
fof(f1706,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1665,f758]) ).
fof(f1731,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1706,f2]) ).
fof(f1749,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f1731,f1702]) ).
fof(f1764,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1749,f738]) ).
fof(f1774,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1764,f155]) ).
fof(f1780,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1774,f155]) ).
fof(f1792,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,complement(X0)))),
inference(backward_demodulation,[],[f1162,f1780]) ).
fof(f1803,plain,
! [X0] : complement(composition(sF1,X0)) = join(complement(X0),complement(composition(sF1,X0))),
inference(backward_demodulation,[],[f1693,f1780]) ).
fof(f1982,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1780,f758]) ).
fof(f2023,plain,
complement(sF1) = join(complement(one),complement(sF1)),
inference(backward_demodulation,[],[f1627,f1982]) ).
fof(f2827,plain,
! [X0] : zero = composition(converse(join(one,X0)),complement(join(top,composition(X0,top)))),
inference(superposition,[],[f640,f580]) ).
fof(f2845,plain,
! [X0] : zero = composition(converse(join(one,X0)),complement(top)),
inference(forward_demodulation,[],[f2827,f644]) ).
fof(f2853,plain,
! [X0] : zero = composition(converse(join(one,X0)),zero),
inference(forward_demodulation,[],[f2845,f28]) ).
fof(f2859,plain,
! [X0] : zero = composition(join(one,converse(X0)),zero),
inference(forward_demodulation,[],[f2853,f598]) ).
fof(f2862,plain,
! [X0] : zero = join(zero,composition(converse(X0),zero)),
inference(forward_demodulation,[],[f2859,f580]) ).
fof(f2863,plain,
! [X0] : zero = composition(converse(X0),zero),
inference(forward_demodulation,[],[f2862,f623]) ).
fof(f3241,plain,
! [X0,X1] : join(complement(join(X0,X1)),X0) = join(X0,join(X0,complement(X1))),
inference(superposition,[],[f737,f1780]) ).
fof(f3346,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f3241,f737]) ).
fof(f3388,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3346,f1]) ).
fof(f4707,plain,
! [X2,X0,X1] : composition(join(converse(X1),converse(X2)),converse(X0)) = join(converse(composition(X0,X1)),converse(composition(X0,X2))),
inference(superposition,[],[f268,f12]) ).
fof(f4766,plain,
! [X2,X0,X1] : composition(join(converse(X1),converse(X2)),converse(X0)) = converse(join(composition(X0,X1),composition(X0,X2))),
inference(forward_demodulation,[],[f4707,f11]) ).
fof(f4793,plain,
! [X2,X0,X1] : converse(join(composition(X0,X1),composition(X0,X2))) = composition(converse(join(X1,X2)),converse(X0)),
inference(forward_demodulation,[],[f4766,f11]) ).
fof(f4808,plain,
! [X2,X0,X1] : converse(join(composition(X0,X1),composition(X0,X2))) = converse(composition(X0,join(X1,X2))),
inference(forward_demodulation,[],[f4793,f12]) ).
fof(f4852,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f4808]) ).
fof(f4873,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4852,f10]) ).
fof(f4945,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f4873,f8]) ).
fof(f4975,plain,
! [X0,X1] : join(X0,composition(sk1,X1)) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f1135,f4873]) ).
fof(f4976,plain,
! [X0,X1] : join(X0,composition(sF1,join(X0,X1))) = join(X0,composition(sF1,X1)),
inference(superposition,[],[f1201,f4873]) ).
fof(f5238,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(sk1))),
inference(superposition,[],[f4945,f687]) ).
fof(f5602,plain,
! [X0] : join(X0,composition(sk1,complement(X0))) = join(X0,composition(sk1,top)),
inference(superposition,[],[f4975,f15]) ).
fof(f5659,plain,
! [X0,X1] : join(X0,complement(composition(sk1,join(X0,X1)))) = join(X0,complement(join(X0,composition(sk1,X1)))),
inference(superposition,[],[f1780,f4975]) ).
fof(f5694,plain,
! [X0,X1] : join(X0,complement(composition(sk1,X1))) = join(X0,complement(composition(sk1,join(X0,X1)))),
inference(forward_demodulation,[],[f5659,f1780]) ).
fof(f5797,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(join(X0,composition(sk1,top)))),
inference(superposition,[],[f1780,f5602]) ).
fof(f5834,plain,
! [X0] : join(X0,complement(composition(sk1,complement(X0)))) = join(X0,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f5797,f1780]) ).
fof(f5862,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,top))),
inference(forward_demodulation,[],[f5834,f1792]) ).
fof(f5934,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(X0,join(X1,complement(composition(sk1,top)))),
inference(superposition,[],[f2,f5862]) ).
fof(f5940,plain,
! [X0] : join(X0,complement(composition(sk1,complement(composition(sF1,X0))))) = join(X0,complement(composition(sk1,top))),
inference(superposition,[],[f1201,f5862]) ).
fof(f5952,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(composition(sk1,complement(composition(sF1,X0))))),
inference(forward_demodulation,[],[f5940,f5862]) ).
fof(f5957,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(X0,complement(composition(sk1,complement(X1)))),
inference(forward_demodulation,[],[f5934,f5862]) ).
fof(f6698,plain,
! [X0] : join(X0,complement(composition(X0,complement(sk1)))) = join(X0,complement(composition(X0,top))),
inference(superposition,[],[f1780,f5238]) ).
fof(f7227,plain,
! [X0] : zero = composition(X0,zero),
inference(superposition,[],[f2863,f10]) ).
fof(f8439,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),X1)))) = join(X1,complement(composition(sk1,complement(complement(join(X1,X0)))))),
inference(superposition,[],[f5957,f3388]) ).
fof(f8564,plain,
! [X0,X1] : join(X1,complement(composition(sk1,join(X1,X0)))) = complement(composition(sk1,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f8439,f155]) ).
fof(f8609,plain,
! [X0,X1] : join(X1,complement(composition(sk1,join(X1,X0)))) = join(complement(X0),complement(composition(sk1,complement(X1)))),
inference(forward_demodulation,[],[f8564,f5957]) ).
fof(f8638,plain,
! [X0,X1] : join(X1,complement(composition(sk1,X0))) = join(complement(X0),complement(composition(sk1,complement(X1)))),
inference(forward_demodulation,[],[f8609,f5694]) ).
fof(f8698,plain,
complement(composition(sk1,complement(complement(sF1)))) = join(complement(one),complement(composition(sk1,complement(complement(sF1))))),
inference(superposition,[],[f5957,f2023]) ).
fof(f8699,plain,
complement(composition(sk1,complement(complement(sF1)))) = join(complement(sF1),complement(composition(sk1,one))),
inference(forward_demodulation,[],[f8698,f8638]) ).
fof(f8711,plain,
complement(composition(sk1,complement(complement(sF1)))) = join(complement(sF1),complement(sk1)),
inference(forward_demodulation,[],[f8699,f8]) ).
fof(f8718,plain,
complement(composition(sk1,complement(complement(sF1)))) = join(complement(sk1),complement(sF1)),
inference(forward_demodulation,[],[f8711,f1]) ).
fof(f8725,plain,
complement(composition(sk1,sF1)) = join(complement(sk1),complement(sF1)),
inference(forward_demodulation,[],[f8718,f155]) ).
fof(f8760,plain,
join(complement(sk1),complement(composition(sk1,complement(complement(sF1))))) = complement(composition(sk1,complement(complement(composition(sk1,sF1))))),
inference(superposition,[],[f5957,f8725]) ).
fof(f8761,plain,
join(complement(sk1),complement(composition(sk1,complement(complement(sF1))))) = complement(composition(sk1,composition(sk1,sF1))),
inference(forward_demodulation,[],[f8760,f155]) ).
fof(f8778,plain,
complement(composition(sk1,composition(sk1,sF1))) = join(complement(sF1),complement(composition(sk1,sk1))),
inference(forward_demodulation,[],[f8761,f8638]) ).
fof(f10304,plain,
! [X0] : join(X0,composition(sF1,complement(composition(sk1,complement(X0))))) = X0,
inference(superposition,[],[f103,f155]) ).
fof(f10408,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,composition(sF1,complement(composition(sk1,complement(join(X0,X1))))))),
inference(superposition,[],[f66,f10304]) ).
fof(f10415,plain,
! [X0] : composition(sF1,X0) = composition(sF1,join(X0,complement(composition(sk1,complement(composition(sF1,X0)))))),
inference(superposition,[],[f4873,f10304]) ).
fof(f10438,plain,
! [X0] : composition(sF1,X0) = composition(sF1,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f10415,f5952]) ).
fof(f10444,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,composition(sF1,join(X0,complement(composition(sk1,complement(X1))))))),
inference(forward_demodulation,[],[f10408,f5957]) ).
fof(f10480,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,composition(sF1,complement(composition(sk1,complement(X1)))))),
inference(forward_demodulation,[],[f10444,f4976]) ).
fof(f10500,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,composition(sF1,X1))),
inference(forward_demodulation,[],[f10480,f10438]) ).
fof(f10549,plain,
! [X0,X1] : join(X1,composition(sF1,join(X0,X1))) = join(composition(sF1,X0),X1),
inference(superposition,[],[f10500,f4873]) ).
fof(f10723,plain,
! [X0] : composition(sF1,complement(composition(sk1,X0))) = composition(sF1,complement(X0)),
inference(superposition,[],[f10438,f155]) ).
fof(f10737,plain,
! [X0] : complement(complement(composition(sk1,complement(X0)))) = join(complement(complement(composition(sk1,complement(X0)))),composition(converse(sF1),complement(composition(sF1,X0)))),
inference(superposition,[],[f29,f10438]) ).
fof(f10752,plain,
! [X0] : complement(complement(composition(sk1,complement(X0)))) = join(complement(complement(composition(sk1,complement(X0)))),composition(sk1,complement(composition(sF1,X0)))),
inference(forward_demodulation,[],[f10737,f38]) ).
fof(f10791,plain,
! [X0] : composition(sk1,complement(X0)) = join(composition(sk1,complement(X0)),composition(sk1,complement(composition(sF1,X0)))),
inference(forward_demodulation,[],[f10752,f155]) ).
fof(f10806,plain,
! [X0] : composition(sk1,complement(X0)) = composition(sk1,join(complement(X0),complement(composition(sF1,X0)))),
inference(forward_demodulation,[],[f10791,f4873]) ).
fof(f10815,plain,
! [X0] : composition(sk1,complement(composition(sF1,X0))) = composition(sk1,complement(X0)),
inference(forward_demodulation,[],[f10806,f1803]) ).
fof(f10835,plain,
composition(sk1,complement(one)) = composition(sk1,complement(sF1)),
inference(superposition,[],[f10815,f8]) ).
fof(f12444,plain,
join(composition(sF1,complement(sk1)),complement(sF1)) = join(complement(sF1),composition(sF1,complement(composition(sk1,sF1)))),
inference(superposition,[],[f10549,f8725]) ).
fof(f12554,plain,
join(complement(sF1),composition(sF1,complement(sF1))) = join(composition(sF1,complement(sk1)),complement(sF1)),
inference(forward_demodulation,[],[f12444,f10723]) ).
fof(f12617,plain,
join(complement(sF1),composition(sF1,complement(sF1))) = join(complement(sF1),composition(sF1,complement(sk1))),
inference(forward_demodulation,[],[f12554,f1]) ).
fof(f12659,plain,
composition(join(one,sF1),complement(sF1)) = join(complement(sF1),composition(sF1,complement(sk1))),
inference(forward_demodulation,[],[f12617,f580]) ).
fof(f12684,plain,
composition(one,complement(sF1)) = join(complement(sF1),composition(sF1,complement(sk1))),
inference(forward_demodulation,[],[f12659,f1165]) ).
fof(f12697,plain,
complement(sF1) = join(complement(sF1),composition(sF1,complement(sk1))),
inference(forward_demodulation,[],[f12684,f581]) ).
fof(f13990,plain,
complement(composition(sF1,complement(sk1))) = join(complement(complement(sF1)),complement(join(complement(complement(sF1)),composition(sF1,complement(sk1))))),
inference(superposition,[],[f287,f12697]) ).
fof(f14008,plain,
complement(composition(sF1,complement(sk1))) = join(complement(complement(sF1)),complement(composition(sF1,complement(sk1)))),
inference(forward_demodulation,[],[f13990,f1780]) ).
fof(f14021,plain,
complement(composition(sF1,complement(sk1))) = join(sF1,complement(composition(sF1,complement(sk1)))),
inference(forward_demodulation,[],[f14008,f155]) ).
fof(f14028,plain,
complement(composition(sF1,complement(sk1))) = join(sF1,complement(composition(sF1,top))),
inference(forward_demodulation,[],[f14021,f6698]) ).
fof(f14053,plain,
join(sF1,composition(sk1,complement(composition(sF1,complement(sk1))))) = join(sF1,composition(sk1,complement(composition(sF1,top)))),
inference(superposition,[],[f4975,f14028]) ).
fof(f14057,plain,
join(sF1,composition(sk1,complement(composition(sF1,complement(sk1))))) = join(sF1,composition(sk1,complement(top))),
inference(forward_demodulation,[],[f14053,f10815]) ).
fof(f14075,plain,
join(sF1,composition(sk1,complement(composition(sF1,complement(sk1))))) = join(sF1,composition(sk1,zero)),
inference(forward_demodulation,[],[f14057,f28]) ).
fof(f14088,plain,
join(sF1,zero) = join(sF1,composition(sk1,complement(composition(sF1,complement(sk1))))),
inference(forward_demodulation,[],[f14075,f7227]) ).
fof(f14100,plain,
join(sF1,zero) = join(sF1,composition(sk1,complement(complement(sk1)))),
inference(forward_demodulation,[],[f14088,f10815]) ).
fof(f14110,plain,
join(sF1,zero) = join(sF1,composition(sk1,sk1)),
inference(forward_demodulation,[],[f14100,f155]) ).
fof(f14118,plain,
sF1 = join(sF1,composition(sk1,sk1)),
inference(forward_demodulation,[],[f14110,f706]) ).
fof(f14135,plain,
complement(composition(sk1,sk1)) = join(complement(sF1),complement(join(complement(sF1),composition(sk1,sk1)))),
inference(superposition,[],[f287,f14118]) ).
fof(f14153,plain,
complement(composition(sk1,sk1)) = join(complement(sF1),complement(composition(sk1,sk1))),
inference(forward_demodulation,[],[f14135,f1780]) ).
fof(f14161,plain,
complement(composition(sk1,sk1)) = complement(composition(sk1,composition(sk1,sF1))),
inference(backward_demodulation,[],[f8778,f14153]) ).
fof(f14797,plain,
composition(sF1,complement(composition(sk1,complement(one)))) = composition(sF1,complement(complement(sF1))),
inference(superposition,[],[f10723,f10835]) ).
fof(f14813,plain,
! [X0] : composition(sk1,complement(composition(sF1,complement(X0)))) = composition(sk1,complement(complement(composition(sk1,X0)))),
inference(superposition,[],[f10815,f10723]) ).
fof(f14835,plain,
! [X0] : composition(sk1,composition(sk1,X0)) = composition(sk1,complement(composition(sF1,complement(X0)))),
inference(forward_demodulation,[],[f14813,f155]) ).
fof(f14859,plain,
composition(sF1,sF1) = composition(sF1,complement(composition(sk1,complement(one)))),
inference(forward_demodulation,[],[f14797,f155]) ).
fof(f14869,plain,
! [X0] : composition(sk1,composition(sk1,X0)) = composition(sk1,complement(complement(X0))),
inference(forward_demodulation,[],[f14835,f10815]) ).
fof(f14871,plain,
composition(sF1,sF1) = composition(sF1,complement(complement(one))),
inference(forward_demodulation,[],[f14859,f10723]) ).
fof(f14878,plain,
! [X0] : composition(sk1,X0) = composition(sk1,composition(sk1,X0)),
inference(forward_demodulation,[],[f14869,f155]) ).
fof(f14879,plain,
composition(sF1,sF1) = composition(sF1,one),
inference(forward_demodulation,[],[f14871,f155]) ).
fof(f14920,plain,
complement(composition(sk1,sk1)) = complement(composition(sk1,sF1)),
inference(backward_demodulation,[],[f14161,f14878]) ).
fof(f14923,plain,
sF1 = composition(sF1,sF1),
inference(forward_demodulation,[],[f14879,f8]) ).
fof(f15033,plain,
composition(sk1,sF1) = complement(complement(composition(sk1,sk1))),
inference(superposition,[],[f155,f14920]) ).
fof(f15059,plain,
composition(sk1,sk1) = composition(sk1,sF1),
inference(forward_demodulation,[],[f15033,f155]) ).
fof(f15156,plain,
converse(composition(sk1,sk1)) = composition(converse(sF1),sF1),
inference(superposition,[],[f114,f15059]) ).
fof(f15183,plain,
composition(sk1,sF1) = converse(composition(sk1,sk1)),
inference(forward_demodulation,[],[f15156,f38]) ).
fof(f15192,plain,
composition(sk1,sF1) = composition(converse(sk1),sF1),
inference(forward_demodulation,[],[f15183,f114]) ).
fof(f15219,plain,
composition(sF1,sF1) = composition(sk1,sF1),
inference(forward_demodulation,[],[f15192,f26]) ).
fof(f15233,plain,
composition(sk1,sk1) = composition(sF1,sF1),
inference(forward_demodulation,[],[f15219,f15059]) ).
fof(f15240,plain,
sF1 = composition(sk1,sk1),
inference(forward_demodulation,[],[f15233,f14923]) ).
fof(f15276,plain,
sF1 = composition(sk1,sF1),
inference(backward_demodulation,[],[f15059,f15240]) ).
fof(f15330,plain,
converse(sF1) = composition(converse(sF1),sF1),
inference(superposition,[],[f114,f15276]) ).
fof(f15354,plain,
sk1 = composition(sk1,sF1),
inference(forward_demodulation,[],[f15330,f38]) ).
fof(f15566,plain,
sk1 = sF1,
inference(backward_demodulation,[],[f15276,f15354]) ).
fof(f15701,plain,
$false,
inference(forward_subsumption_resolution,[],[f15566,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL025-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 22:52:01 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 19.29/4.02 % (1256538)Detected a unit-equality problem, will run specialized UEQ schedule.
% 19.29/4.02 % (1256546)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2745227306:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 19.29/4.02 % (1256544)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3856224620:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 19.29/4.02 % (1256543)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2422869682:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 19.29/4.02 % (1256546)Instruction limit reached!
% 19.29/4.02 % (1256546)------------------------------
% 19.29/4.02 % (1256546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/4.02 % (1256546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/4.03 % (1256546)CaDiCaL version: 2.1.3
% 19.29/4.03 % (1256546)Termination reason: Instruction limit
% 19.29/4.03 % (1256546)Termination phase: Saturation
% 19.29/4.03 % (1256546)Time elapsed: 0.076 s
% 19.29/4.03 % (1256546)Peak memory usage: 89 MB
% 19.29/4.03 % (1256546)Instructions burned: 136 (million)
% 19.29/4.03 % (1256548)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1515667031:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 19.29/4.03 % (1256549)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1589310125:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 19.29/4.03 % (1256547)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4131810097:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 19.29/4.03 % (1256545)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1068439788:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 19.29/4.03 % (1256547)Instruction limit reached!
% 19.29/4.03 % (1256547)------------------------------
% 19.29/4.03 % (1256547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/4.03 % (1256547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/4.03 % (1256547)CaDiCaL version: 2.1.3
% 19.29/4.03 % (1256547)Termination reason: Instruction limit
% 19.29/4.03 % (1256547)Termination phase: Saturation
% 19.29/4.03 % (1256547)Time elapsed: 0.179 s
% 19.29/4.03 % (1256547)Peak memory usage: 89 MB
% 19.29/4.03 % (1256547)Instructions burned: 182 (million)
% 19.29/4.03 % (1256548)Instruction limit reached!
% 19.29/4.03 % (1256548)------------------------------
% 19.29/4.03 % (1256548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/4.03 % (1256548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/4.03 % (1256548)CaDiCaL version: 2.1.3
% 19.29/4.03 % (1256548)Termination reason: Instruction limit
% 19.29/4.03 % (1256548)Termination phase: Saturation
% 19.29/4.03 % (1256548)Time elapsed: 0.277 s
% 19.29/4.03 % (1256548)Peak memory usage: 90 MB
% 19.29/4.03 % (1256548)Instructions burned: 257 (million)
% 19.29/4.03 % (1256557)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3141034113:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 19.29/4.03 % (1256558)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2976101:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 19.29/4.03 % (1256559)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1291634688:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 19.29/4.03 % (1256559)Instruction limit reached!
% 19.29/4.03 % (1256559)------------------------------
% 19.29/4.03 % (1256559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/4.03 % (1256559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/4.03 % (1256559)CaDiCaL version: 2.1.3
% 19.29/4.03 % (1256559)Termination reason: Instruction limit
% 19.29/4.03 % (1256559)Termination phase: Saturation
% 19.29/4.03 % (1256559)Time elapsed: 0.208 s
% 19.29/4.03 % (1256559)Peak memory usage: 92 MB
% 19.29/4.03 % (1256559)Instructions burned: 216 (million)
% 19.29/4.03 % (1256563)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1380777657:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 19.29/4.03 % (1256549)Instruction limit reached!
% 19.29/4.03 % (1256549)------------------------------
% 19.29/4.03 % (1256549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/4.03 % (1256549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/4.03 % (1256549)CaDiCaL version: 2.1.3
% 19.29/4.03 % (1256549)Termination reason: Instruction limit
% 19.29/4.03 % (1256549)Termination phase: Saturation
% 19.29/4.03 % (1256549)Time elapsed: 1.121 s
% 19.29/4.03 % (1256549)Peak memory usage: 100 MB
% 19.29/4.03 % (1256549)Instructions burned: 1187 (million)
% 19.29/4.03 % (1256565)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=496765155:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 19.29/4.03 % (1256563)Instruction limit reached!
% 19.29/4.03 % (1256563)------------------------------
% 19.29/4.03 % (1256563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/4.03 % (1256563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/4.03 % (1256563)CaDiCaL version: 2.1.3
% 19.29/4.03 % (1256563)Termination reason: Instruction limit
% 19.29/4.03 % (1256563)Termination phase: Saturation
% 19.29/4.03 % (1256563)Time elapsed: 0.344 s
% 19.29/4.03 % (1256563)Peak memory usage: 93 MB
% 19.29/4.03 % (1256563)Instructions burned: 317 (million)
% 19.29/4.03 % (1256567)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3879923211:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 19.29/4.03 % (1256557)Instruction limit reached!
% 19.29/4.03 % (1256557)------------------------------
% 19.29/4.03 % (1256557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/4.03 % (1256557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/4.03 % (1256557)CaDiCaL version: 2.1.3
% 19.29/4.03 % (1256557)Termination reason: Instruction limit
% 19.29/4.03 % (1256557)Termination phase: Saturation
% 19.29/4.03 % (1256557)Time elapsed: 1.488 s
% 19.29/4.03 % (1256557)Peak memory usage: 141 MB
% 19.29/4.03 % (1256557)Instructions burned: 2052 (million)
% 19.29/4.03 % (1256596)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1155118658:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2978 on theBenchmark for (2978ds/14534Mi)
% 19.29/4.03 % (1256545)First to succeed.
% 19.29/4.03 % (1256545)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1256538"
% 19.29/4.03 % (1256565)Also succeeded, but the first one will report.
% 19.29/4.03 % (1256543)Also succeeded, but the first one will report.
% 19.29/4.03 % (1256544)Also succeeded, but the first one will report.
% 19.29/4.03 % (1256545)Refutation found. Thanks to Tanya!
% 19.29/4.03 % SZS status Unsatisfiable for theBenchmark
% 19.29/4.03 % SZS output start Proof for theBenchmark
% See solution above
% 20.96/4.22 % (1256545)------------------------------
% 20.96/4.22 % (1256545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/4.22 % (1256545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/4.22 % (1256545)CaDiCaL version: 2.1.3
% 20.96/4.22 % (1256545)Termination reason: Refutation
% 20.96/4.22 % (1256545)Time elapsed: 2.263 s
% 20.96/4.22 % (1256545)Peak memory usage: 143 MB
% 20.96/4.22 % (1256545)Instructions burned: 2513 (million)
% 20.96/4.22 % (1256545)------------------------------
% 20.96/4.22 % (1256545)------------------------------
% 20.96/4.22 % (1256538)Success in time 2.842 s
% 20.96/4.22 % Vampire exiting
%------------------------------------------------------------------------------