%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL050+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:34:41 PM UTC 2026
% Result : Theorem 26.21s 10.34s
% Output : Refutation 26.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 18
% Syntax : Number of formulae : 174 ( 174 unt; 3 def)
% Number of atoms : 174 ( 173 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 192 ( 191 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f16,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+1.ax',modular_law_2) ).
fof(f17,conjecture,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f41,plain,
! [X2,X0,X1] : complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2)))),
inference(definition_unfolding,[],[f36,f24,f24,f24,f24,f24]) ).
fof(f42,definition,
sF1 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
composition(sK0,top) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF3 = composition(sF2,top),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
composition(sF2,top) = sF3,
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
sF2 != sF3,
inference(definition_folding,[],[f37,f47,f45,f43,f45,f43]) ).
fof(f53,plain,
zero = complement(top),
inference(superposition,[],[f38,f32]) ).
fof(f54,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f32,f38]) ).
fof(f55,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f54,f21]) ).
fof(f58,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f55,f32]) ).
fof(f59,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f58,f21]) ).
fof(f63,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f64,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f68,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f21,f29]) ).
fof(f69,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f30,f28]) ).
fof(f70,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f74,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f63,f32]) ).
fof(f88,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f93,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f22,f59]) ).
fof(f98,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f32,f22]) ).
fof(f100,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f118,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f25,f26]) ).
fof(f121,plain,
! [X0] : composition(sK0,composition(top,X0)) = composition(sF1,X0),
inference(superposition,[],[f25,f43]) ).
fof(f137,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f150,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(X0,X2)),
inference(superposition,[],[f21,f27]) ).
fof(f176,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(superposition,[],[f31,f30]) ).
fof(f182,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(superposition,[],[f31,f53]) ).
fof(f189,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f182,f21]) ).
fof(f195,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f176,f21]) ).
fof(f204,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f195,f28]) ).
fof(f213,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f214,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f23,f38]) ).
fof(f221,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f223,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(superposition,[],[f23,f38]) ).
fof(f230,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f223,f21]) ).
fof(f232,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f221,f21]) ).
fof(f239,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f213,f21]) ).
fof(f541,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f29,f68]) ).
fof(f719,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f70,f26]) ).
fof(f749,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f719,f28]) ).
fof(f767,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f31,f749]) ).
fof(f779,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f118,f749]) ).
fof(f787,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f779,f749]) ).
fof(f796,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f767,f21]) ).
fof(f808,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f796,f787]) ).
fof(f823,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f88,f23]) ).
fof(f830,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f88,f32]) ).
fof(f845,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f823,f22]) ).
fof(f852,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f845,f100]) ).
fof(f854,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f852,f88]) ).
fof(f903,plain,
! [X2,X0,X1] : top = join(complement(join(complement(composition(X0,X2)),complement(X1))),join(complement(join(complement(composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),X2)),complement(X1))),complement(complement(join(complement(composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),X2)),complement(X1)))))),
inference(superposition,[],[f98,f41]) ).
fof(f958,plain,
! [X2,X0,X1] : top = join(complement(join(complement(composition(X0,X2)),complement(X1))),top),
inference(forward_demodulation,[],[f903,f32]) ).
fof(f971,plain,
! [X2,X0,X1] : top = join(top,complement(join(complement(composition(X0,X2)),complement(X1)))),
inference(forward_demodulation,[],[f958,f21]) ).
fof(f978,plain,
! [X1] : top = join(top,complement(complement(X1))),
inference(forward_demodulation,[],[f971,f854]) ).
fof(f1014,plain,
! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(X0)))),
inference(superposition,[],[f93,f214]) ).
fof(f1019,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(forward_demodulation,[],[f1014,f854]) ).
fof(f1022,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1019,f978]) ).
fof(f1040,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f98,f1022]) ).
fof(f1041,plain,
top = converse(top),
inference(superposition,[],[f74,f1022]) ).
fof(f1042,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f64,f1022]) ).
fof(f1155,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(superposition,[],[f69,f1041]) ).
fof(f1156,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f70,f1041]) ).
fof(f1408,plain,
! [X0] : join(complement(join(complement(X0),complement(top))),complement(top)) = X0,
inference(superposition,[],[f23,f1040]) ).
fof(f1413,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(forward_demodulation,[],[f1408,f21]) ).
fof(f1425,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1413,f53]) ).
fof(f1427,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1425,f21]) ).
fof(f1797,plain,
top = join(zero,complement(join(zero,complement(complement(zero))))),
inference(superposition,[],[f230,f53]) ).
fof(f1808,plain,
top = complement(zero),
inference(forward_demodulation,[],[f1797,f1427]) ).
fof(f2476,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(superposition,[],[f214,f808]) ).
fof(f2887,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(zero)))),
inference(superposition,[],[f232,f230]) ).
fof(f2891,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),complement(zero)))),
inference(superposition,[],[f232,f2476]) ).
fof(f2950,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(zero),complement(complement(X0))))),
inference(forward_demodulation,[],[f2891,f21]) ).
fof(f2954,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f2887,f21]) ).
fof(f2986,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2950,f1808]) ).
fof(f2990,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f2954,f1808]) ).
fof(f3011,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2986,f830]) ).
fof(f3015,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(complement(complement(X0))))))),
inference(forward_demodulation,[],[f2990,f854]) ).
fof(f3025,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f3011,f1040]) ).
fof(f3029,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(X0)),top))),
inference(forward_demodulation,[],[f3015,f830]) ).
fof(f3035,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f3025,f53]) ).
fof(f3039,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f3029,f21]) ).
fof(f3042,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f3035,f21]) ).
fof(f3045,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f3039,f830]) ).
fof(f3050,plain,
! [X0] : join(complement(X0),complement(top)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3045,f1040]) ).
fof(f3054,plain,
! [X0] : join(complement(X0),zero) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3050,f53]) ).
fof(f3056,plain,
! [X0] : join(zero,complement(X0)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3054,f21]) ).
fof(f3058,plain,
! [X0] : complement(X0) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3056,f3042]) ).
fof(f3098,plain,
! [X0] : join(zero,complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f239,f38]) ).
fof(f3115,plain,
! [X0] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[],[f239,f808]) ).
fof(f3147,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),X0))) = X0,
inference(forward_demodulation,[],[f3115,f21]) ).
fof(f3164,plain,
! [X0] : complement(join(complement(complement(complement(X0))),complement(X0))) = X0,
inference(forward_demodulation,[],[f3098,f3042]) ).
fof(f3193,plain,
! [X0] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f3147,f21]) ).
fof(f3208,plain,
! [X0] : complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3164,f21]) ).
fof(f3222,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f3193,f32]) ).
fof(f3234,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f3208,f3058]) ).
fof(f3239,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f3222,f21]) ).
fof(f3246,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f3239,f3234]) ).
fof(f3250,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f3246,f53]) ).
fof(f3601,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f21,f3250]) ).
fof(f3620,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f64,f3250]) ).
fof(f3626,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f3620,f28]) ).
fof(f3666,plain,
! [X0] : composition(join(converse(top),X0),converse(sF2)) = join(converse(sF3),composition(X0,converse(sF2))),
inference(superposition,[],[f137,f47]) ).
fof(f3713,plain,
! [X0] : join(converse(sF3),composition(X0,converse(sF2))) = composition(converse(top),converse(sF2)),
inference(forward_demodulation,[],[f3666,f1042]) ).
fof(f3736,plain,
! [X0] : converse(composition(sF2,top)) = join(converse(sF3),composition(X0,converse(sF2))),
inference(forward_demodulation,[],[f3713,f30]) ).
fof(f3754,plain,
! [X0] : join(converse(sF3),composition(X0,converse(sF2))) = composition(top,converse(sF2)),
inference(forward_demodulation,[],[f3736,f1155]) ).
fof(f4620,plain,
zero = converse(zero),
inference(superposition,[],[f3601,f3626]) ).
fof(f40116,plain,
zero = join(zero,composition(top,complement(composition(top,top)))),
inference(superposition,[],[f189,f1041]) ).
fof(f40163,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f40116,f3250]) ).
fof(f47441,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f150,f40163]) ).
fof(f47557,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47441,f3250]) ).
fof(f47632,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47557,f1040]) ).
fof(f47702,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47632,f40163]) ).
fof(f50557,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f749,f47702]) ).
fof(f51618,plain,
complement(zero) = composition(top,top),
inference(superposition,[],[f3234,f50557]) ).
fof(f51626,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f51618,f1808]) ).
fof(f53523,plain,
composition(sK0,top) = composition(sF1,top),
inference(superposition,[],[f121,f51626]) ).
fof(f53674,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f53523,f43]) ).
fof(f54317,plain,
zero = join(zero,composition(converse(sF1),complement(sF1))),
inference(superposition,[],[f189,f53674]) ).
fof(f54457,plain,
zero = composition(converse(sF1),complement(sF1)),
inference(forward_demodulation,[],[f54317,f3250]) ).
fof(f54518,plain,
zero = composition(converse(sF1),sF2),
inference(forward_demodulation,[],[f54457,f45]) ).
fof(f56604,plain,
complement(converse(converse(sF1))) = join(complement(converse(converse(sF1))),composition(sF2,complement(converse(zero)))),
inference(superposition,[],[f204,f54518]) ).
fof(f56708,plain,
complement(converse(converse(sF1))) = join(complement(converse(converse(sF1))),composition(sF2,complement(zero))),
inference(forward_demodulation,[],[f56604,f4620]) ).
fof(f56805,plain,
complement(converse(converse(sF1))) = join(complement(converse(converse(sF1))),composition(sF2,top)),
inference(forward_demodulation,[],[f56708,f1808]) ).
fof(f56894,plain,
complement(converse(converse(sF1))) = join(composition(sF2,top),complement(converse(converse(sF1)))),
inference(forward_demodulation,[],[f56805,f21]) ).
fof(f56972,plain,
complement(sF1) = join(composition(sF2,top),complement(sF1)),
inference(forward_demodulation,[],[f56894,f28]) ).
fof(f57043,plain,
complement(sF1) = join(complement(sF1),composition(sF2,top)),
inference(forward_demodulation,[],[f56972,f21]) ).
fof(f57102,plain,
complement(sF1) = join(complement(sF1),sF3),
inference(forward_demodulation,[],[f57043,f47]) ).
fof(f57147,plain,
complement(sF1) = join(sF3,complement(sF1)),
inference(forward_demodulation,[],[f57102,f21]) ).
fof(f57186,plain,
sF2 = join(sF3,sF2),
inference(forward_demodulation,[],[f57147,f45]) ).
fof(f57224,plain,
sF2 = join(sF2,sF3),
inference(forward_demodulation,[],[f57186,f21]) ).
fof(f76861,plain,
composition(top,converse(sF2)) = join(converse(sF3),converse(sF2)),
inference(superposition,[],[f3754,f749]) ).
fof(f76915,plain,
composition(top,converse(sF2)) = converse(join(sF3,sF2)),
inference(forward_demodulation,[],[f76861,f29]) ).
fof(f76940,plain,
composition(top,converse(sF2)) = converse(join(sF2,sF3)),
inference(forward_demodulation,[],[f76915,f541]) ).
fof(f76955,plain,
converse(sF2) = composition(top,converse(sF2)),
inference(forward_demodulation,[],[f76940,f57224]) ).
fof(f76983,plain,
converse(converse(sF2)) = composition(converse(converse(sF2)),top),
inference(superposition,[],[f1156,f76955]) ).
fof(f77183,plain,
sF2 = composition(sF2,top),
inference(forward_demodulation,[],[f76983,f28]) ).
fof(f77757,plain,
sF2 = sF3,
inference(superposition,[],[f47,f77183]) ).
fof(f77905,plain,
$false,
inference(forward_subsumption_resolution,[],[f77757,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL050+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 % Computer : n002.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 23:00:07 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.47/4.20 % (3986791)Will run a generic schedule for satisfiability detection.
% 26.47/4.20 % (3986799)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1333265205:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.47/4.20 % (3986797)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2347866209_2999 on theBenchmark for (2999ds/0Mi)
% 26.47/4.20 % (3986798)% WARNING: option uhcvi not known.
% 26.47/4.20 % TRYING [1]
% 26.47/4.20 % TRYING [2]
% 26.47/4.20 % (3986798)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1242609997:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.47/4.20 % (3986801)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2934085191:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.47/4.20 % (3986800)dis+10_1_sil=32000:sp=arity:random_seed=3126832851:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.47/4.20 % (3986803)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2917833359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.47/4.20 % (3986802)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=113742474:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.47/4.20 % TRYING [3]
% 26.47/4.20 % TRYING [4]
% 26.47/4.20 % (3986800)Instruction limit reached!
% 26.47/4.20 % (3986800)------------------------------
% 26.47/4.20 % (3986800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.20 % (3986800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.20 % (3986800)CaDiCaL version: 2.1.3
% 26.47/4.20 % (3986800)Termination reason: Instruction limit
% 26.47/4.20 % (3986800)Termination phase: Saturation
% 26.47/4.20 % (3986800)Time elapsed: 0.100 s
% 26.47/4.20 % (3986800)Peak memory usage: 13 MB
% 26.47/4.20 % (3986800)Instructions burned: 103 (million)
% 26.47/4.20 % (3986801)Instruction limit reached!
% 26.47/4.20 % (3986801)------------------------------
% 26.47/4.20 % (3986801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.20 % (3986801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.20 % (3986801)CaDiCaL version: 2.1.3
% 26.47/4.20 % (3986801)Termination reason: Instruction limit
% 26.47/4.20 % (3986801)Termination phase: Saturation
% 26.47/4.20 % (3986801)Time elapsed: 0.118 s
% 26.47/4.20 % (3986801)Peak memory usage: 13 MB
% 26.47/4.20 % (3986801)Instructions burned: 116 (million)
% 26.47/4.20 % (3986813)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=103263838:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 26.47/4.20 % (3986802)Instruction limit reached!
% 26.47/4.20 % (3986802)------------------------------
% 26.47/4.20 % (3986802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.20 % (3986802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.20 % (3986802)CaDiCaL version: 2.1.3
% 26.47/4.20 % (3986802)Termination reason: Instruction limit
% 26.47/4.20 % (3986802)Termination phase: Saturation
% 26.47/4.20 % (3986802)Time elapsed: 0.127 s
% 26.47/4.20 % (3986802)Peak memory usage: 13 MB
% 26.47/4.20 % (3986802)Instructions burned: 131 (million)
% 26.47/4.20 % TRYING [1]
% 26.47/4.20 % TRYING [2]
% 26.47/4.20 % (3986814)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=945269564:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 26.47/4.20 % TRYING [3]
% 26.47/4.20 % (3986803)Instruction limit reached!
% 26.47/4.20 % (3986803)------------------------------
% 26.47/4.20 % (3986803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.20 % (3986803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.20 % (3986803)CaDiCaL version: 2.1.3
% 26.47/4.20 % (3986803)Termination reason: Instruction limit
% 26.47/4.20 % (3986803)Termination phase: Saturation
% 26.47/4.20 % (3986803)Time elapsed: 0.158 s
% 26.47/4.20 % (3986803)Peak memory usage: 13 MB
% 26.47/4.20 % (3986803)Instructions burned: 159 (million)
% 26.47/4.20 % (3986816)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3214941274:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.47/4.20 % (3986818)ott-21_1_sil=16000:fs=off:random_seed=549477135:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.47/4.20 % TRYING [4]
% 26.47/4.20 % (3986814)Instruction limit reached!
% 26.47/4.20 % (3986814)------------------------------
% 26.47/4.20 % (3986814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.20 % (3986814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986814)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986814)Termination reason: Instruction limit
% 26.21/10.34 % (3986814)Termination phase: Saturation
% 26.21/10.34 % (3986814)Time elapsed: 0.133 s
% 26.21/10.34 % (3986814)Peak memory usage: 13 MB
% 26.21/10.34 % (3986814)Instructions burned: 132 (million)
% 26.21/10.34 % (3986818)Instruction limit reached!
% 26.21/10.34 % (3986818)------------------------------
% 26.21/10.34 % (3986818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986818)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986818)Termination reason: Instruction limit
% 26.21/10.34 % (3986818)Termination phase: Saturation
% 26.21/10.34 % (3986818)Time elapsed: 0.096 s
% 26.21/10.34 % (3986818)Peak memory usage: 12 MB
% 26.21/10.34 % (3986818)Instructions burned: 180 (million)
% 26.21/10.34 % (3986822)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4186734508:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 26.21/10.34 % TRYING [5]
% 26.21/10.34 % (3986823)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3137317169:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 26.21/10.34 % TRYING [1]
% 26.21/10.34 % TRYING [2]
% 26.21/10.34 % TRYING [3]
% 26.21/10.34 % TRYING [4]
% 26.21/10.34 % TRYING [5]
% 26.21/10.34 % (3986813)Instruction limit reached!
% 26.21/10.34 % (3986813)------------------------------
% 26.21/10.34 % (3986813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986813)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986813)Termination reason: Instruction limit
% 26.21/10.34 % (3986813)Termination phase: Finite model building constraint generation
% 26.21/10.34 % (3986813)Time elapsed: 0.485 s
% 26.21/10.34 % (3986813)Peak memory usage: 29 MB
% 26.21/10.34 % (3986813)Instructions burned: 715 (million)
% 26.21/10.34 % (3986822)Instruction limit reached!
% 26.21/10.34 % (3986822)------------------------------
% 26.21/10.34 % (3986822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986822)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986822)Termination reason: Instruction limit
% 26.21/10.34 % (3986822)Termination phase: Saturation
% 26.21/10.34 % (3986822)Time elapsed: 0.345 s
% 26.21/10.34 % (3986822)Peak memory usage: 16 MB
% 26.21/10.34 % (3986822)Instructions burned: 477 (million)
% 26.21/10.34 % (3986829)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3938597676:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 26.21/10.34 % (3986830)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3131610530:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 26.21/10.34 % (3986816)Instruction limit reached!
% 26.21/10.34 % (3986816)------------------------------
% 26.21/10.34 % (3986816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986816)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986816)Termination reason: Instruction limit
% 26.21/10.34 % (3986816)Termination phase: Saturation
% 26.21/10.34 % (3986816)Time elapsed: 0.605 s
% 26.21/10.34 % (3986816)Peak memory usage: 17 MB
% 26.21/10.34 % (3986816)Instructions burned: 684 (million)
% 26.21/10.34 % (3986833)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1145545089:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 26.21/10.34 % (3986823)Instruction limit reached!
% 26.21/10.34 % (3986823)------------------------------
% 26.21/10.34 % (3986823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986823)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986823)Termination reason: Instruction limit
% 26.21/10.34 % (3986823)Termination phase: Finite model building SAT solving
% 26.21/10.34 % (3986823)Time elapsed: 0.497 s
% 26.21/10.34 % (3986823)Peak memory usage: 24 MB
% 26.21/10.34 % (3986823)Instructions burned: 865 (million)
% 26.21/10.34 % (3986835)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1250749008:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 26.21/10.34 % (3986830)Instruction limit reached!
% 26.21/10.34 % (3986830)------------------------------
% 26.21/10.34 % (3986830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986830)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986830)Termination reason: Instruction limit
% 26.21/10.34 % (3986830)Termination phase: Finite model building constraint generation
% 26.21/10.34 % (3986830)Time elapsed: 0.700 s
% 26.21/10.34 % (3986830)Peak memory usage: 106 MB
% 26.21/10.34 % (3986830)Instructions burned: 890 (million)
% 26.21/10.34 % (3986842)fmb+10_1_sil=64000:random_seed=2765503162:i=22061:nm=2:gsp=on_2985 on theBenchmark for (2985ds/22061Mi)
% 26.21/10.34 % TRYING [1]
% 26.21/10.34 % TRYING [2]
% 26.21/10.34 % TRYING [3]
% 26.21/10.34 % (3986833)Instruction limit reached!
% 26.21/10.34 % (3986833)------------------------------
% 26.21/10.34 % (3986833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986833)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986833)Termination reason: Instruction limit
% 26.21/10.34 % (3986833)Termination phase: Saturation
% 26.21/10.34 % (3986833)Time elapsed: 0.653 s
% 26.21/10.34 % (3986833)Peak memory usage: 18 MB
% 26.21/10.34 % (3986833)Instructions burned: 692 (million)
% 26.21/10.34 % TRYING [6]
% 26.21/10.34 % (3986844)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1123415638:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 26.21/10.34 % TRYING [20]
% 26.21/10.34 % TRYING [4]
% 26.21/10.34 % (3986835)Instruction limit reached!
% 26.21/10.34 % (3986835)------------------------------
% 26.21/10.34 % (3986835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986835)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986835)Termination reason: Instruction limit
% 26.21/10.34 % (3986835)Termination phase: Saturation
% 26.21/10.34 % (3986835)Time elapsed: 0.800 s
% 26.21/10.34 % (3986835)Peak memory usage: 18 MB
% 26.21/10.34 % (3986835)Instructions burned: 880 (million)
% 26.21/10.34 % (3986846)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4034191741:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 26.21/10.34 % TRYING [8]
% 26.21/10.34 % (3986829)Instruction limit reached!
% 26.21/10.34 % (3986829)------------------------------
% 26.21/10.34 % (3986829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986829)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986829)Termination reason: Instruction limit
% 26.21/10.34 % (3986829)Termination phase: Saturation
% 26.21/10.34 % (3986829)Time elapsed: 1.151 s
% 26.21/10.34 % (3986829)Peak memory usage: 24 MB
% 26.21/10.34 % (3986829)Instructions burned: 1180 (million)
% 26.21/10.34 % (3986849)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3970103454:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 26.21/10.34 % TRYING [5]
% 26.21/10.34 % (3986846)Instruction limit reached!
% 26.21/10.34 % (3986846)------------------------------
% 26.21/10.34 % (3986846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986846)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986846)Termination reason: Instruction limit
% 26.21/10.34 % (3986846)Termination phase: Finite model building constraint generation
% 26.21/10.34 % (3986846)Time elapsed: 0.571 s
% 26.21/10.34 % (3986846)Peak memory usage: 75 MB
% 26.21/10.34 % (3986846)Instructions burned: 920 (million)
% 26.21/10.34 % (3986853)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3583008266:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 26.21/10.34 % (3986853)Instruction limit reached!
% 26.21/10.34 % (3986853)------------------------------
% 26.21/10.34 % (3986853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986853)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986853)Termination reason: Instruction limit
% 26.21/10.34 % (3986853)Termination phase: Saturation
% 26.21/10.34 % (3986853)Time elapsed: 1.337 s
% 26.21/10.34 % (3986853)Peak memory usage: 24 MB
% 26.21/10.34 % (3986853)Instructions burned: 1472 (million)
% 26.21/10.34 % (3986860)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3720030501:i=6324_2963 on theBenchmark for (2963ds/6324Mi)
% 26.21/10.34 % (3986860)Cannot represent all propositional literals internally
% 26.21/10.34 % (3986860)Refutation not found, incomplete strategy
% 26.21/10.34 % (3986860)------------------------------
% 26.21/10.34 % (3986860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986860)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986860)Termination reason: Refutation not found, incomplete strategy
% 26.21/10.34 % (3986860)Time elapsed: 0.013 s
% 26.21/10.34 % (3986860)Peak memory usage: 10 MB
% 26.21/10.34 % (3986860)Instructions burned: 14 (million)
% 26.21/10.34 % (3986860)------------------------------
% 26.21/10.34 % (3986860)------------------------------
% 26.21/10.34 % (3986862)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=740492530:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 26.21/10.34 % TRYING [16]
% 26.21/10.34 % TRYING [6]
% 26.21/10.34 % (3986862)Instruction limit reached!
% 26.21/10.34 % (3986862)------------------------------
% 26.21/10.34 % (3986862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986862)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986862)Termination reason: Instruction limit
% 26.21/10.34 % (3986862)Termination phase: Finite model building constraint generation
% 26.21/10.34 % (3986862)Time elapsed: 1.515 s
% 26.21/10.34 % (3986862)Peak memory usage: 132 MB
% 26.21/10.34 % (3986862)Instructions burned: 2175 (million)
% 26.21/10.34 % (3986866)ott-2_1_sil=16000:newcnf=on:random_seed=79515605:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2946 on theBenchmark for (2946ds/869Mi)
% 26.21/10.34 % TRYING [7]
% 26.21/10.34 % (3986866)Instruction limit reached!
% 26.21/10.34 % (3986866)------------------------------
% 26.21/10.34 % (3986866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986866)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986866)Termination reason: Instruction limit
% 26.21/10.34 % (3986866)Termination phase: Saturation
% 26.21/10.34 % (3986866)Time elapsed: 0.885 s
% 26.21/10.34 % (3986866)Peak memory usage: 20 MB
% 26.21/10.34 % (3986866)Instructions burned: 871 (million)
% 26.21/10.34 % (3986869)ott+10_1_sil=32000:tgt=ground:random_seed=120486869:i=5114:av=off_2937 on theBenchmark for (2937ds/5114Mi)
% 26.21/10.34 % (3986849)Instruction limit reached!
% 26.21/10.34 % (3986849)------------------------------
% 26.21/10.34 % (3986849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986849)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986849)Termination reason: Instruction limit
% 26.21/10.34 % (3986849)Termination phase: Saturation
% 26.21/10.34 % (3986849)Time elapsed: 4.657 s
% 26.21/10.34 % (3986849)Peak memory usage: 56 MB
% 26.21/10.34 % (3986849)Instructions burned: 5131 (million)
% 26.21/10.34 % (3986872)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1350453055:i=54282_2934 on theBenchmark for (2934ds/54282Mi)
% 26.21/10.34 % TRYING [1]
% 26.21/10.34 % TRYING [2]
% 26.21/10.34 % TRYING [3]
% 26.21/10.34 % TRYING [4]
% 26.21/10.34 % TRYING [5]
% 26.21/10.34 % (3986844)Instruction limit reached!
% 26.21/10.34 % (3986844)------------------------------
% 26.21/10.34 % (3986844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.34 % (3986844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.34 % (3986844)CaDiCaL version: 2.1.3
% 26.21/10.34 % (3986844)Termination reason: Instruction limit
% 26.21/10.34 % (3986844)Termination phase: Finite model building constraint generation
% 26.21/10.34 % (3986844)Time elapsed: 6.194 s
% 26.21/10.34 % (3986844)Peak memory usage: 675 MB
% 26.21/10.34 % (3986844)Instructions burned: 9516 (million)
% 26.21/10.34 % (3986876)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=238266292:i=3512:aac=none_2921 on theBenchmark for (2921ds/3512Mi)
% 26.21/10.34 % TRYING [6]
% 26.21/10.34 % (3986869) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3986791-3986869"...
% 26.21/10.34 % (3986869)...printing done.
% 26.21/10.34 % (3986869)Refutation found. Thanks to Tanya!
% 26.21/10.34 % SZS status Theorem for theBenchmark
% 26.21/10.34 % SZS output start Proof for theBenchmark
% See solution above
% 26.21/10.35 % (3986869)------------------------------
% 26.21/10.35 % (3986869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/10.35 % (3986869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/10.35 % (3986869)CaDiCaL version: 2.1.3
% 26.21/10.35 % (3986869)Termination reason: Refutation
% 26.21/10.35 % (3986869)Time elapsed: 3.517 s
% 26.21/10.35 % (3986869)Peak memory usage: 44 MB
% 26.21/10.35 % (3986869)Instructions burned: 3529 (million)
% 26.21/10.35 % (3986791)Success in time 9.864 s
% 26.21/10.35 % Vampire exiting
%------------------------------------------------------------------------------