%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL050+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 38.85s 6.00s
% Output : Refutation 38.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 20
% Syntax : Number of formulae : 198 ( 190 unt; 5 def)
% Number of atoms : 206 ( 205 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 6 |; 2 &)
% ( 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 : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 204 ( 203 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+1.ax',modular_law_2) ).
fof(f17,conjecture,
! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
& join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
& join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] :
( composition(complement(composition(X0,top)),top) != join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top))
| complement(composition(X0,top)) != join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top))
| complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,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,
( composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top))
| complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,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,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f49,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF5 = join(sF3,sF2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f51,plain,
join(sF3,sF2) = sF5,
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
( sF3 != sF4
| sF2 != sF5 ),
inference(definition_folding,[],[f37,f51,f45,f43,f47,f45,f43,f45,f43,f49,f47,f45,f43,f45,f43,f47,f45,f43]) ).
fof(f53,plain,
join(sF2,sF3) = sF5,
inference(forward_demodulation,[],[f51,f21]) ).
fof(f54,plain,
sF4 = sF5,
inference(forward_demodulation,[],[f53,f49]) ).
fof(f59,plain,
zero = complement(top),
inference(superposition,[],[f38,f32]) ).
fof(f60,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f32,f38]) ).
fof(f61,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f60,f21]) ).
fof(f64,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f61,f32]) ).
fof(f65,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f64,f21]) ).
fof(f69,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f70,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f74,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f21,f29]) ).
fof(f75,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f30,f28]) ).
fof(f76,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f80,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f69,f32]) ).
fof(f94,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f99,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f22,f65]) ).
fof(f105,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f32,f22]) ).
fof(f107,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f116,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f25,f26]) ).
fof(f119,plain,
! [X0] : composition(sK0,composition(top,X0)) = composition(sF1,X0),
inference(superposition,[],[f25,f43]) ).
fof(f129,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(f141,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(X0,X2)),
inference(superposition,[],[f21,f27]) ).
fof(f164,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(superposition,[],[f31,f30]) ).
fof(f169,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(superposition,[],[f31,f59]) ).
fof(f176,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f169,f21]) ).
fof(f181,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f164,f21]) ).
fof(f190,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f181,f28]) ).
fof(f199,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f200,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f23,f38]) ).
fof(f207,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f208,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(superposition,[],[f23,f38]) ).
fof(f213,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f21,f23]) ).
fof(f215,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f208,f21]) ).
fof(f216,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f207,f21]) ).
fof(f223,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f199,f21]) ).
fof(f554,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f29,f74]) ).
fof(f623,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f76,f26]) ).
fof(f653,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f623,f28]) ).
fof(f669,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f31,f653]) ).
fof(f675,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f27,f653]) ).
fof(f681,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f116,f653]) ).
fof(f682,plain,
one = converse(one),
inference(superposition,[],[f26,f653]) ).
fof(f689,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f681,f653]) ).
fof(f695,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f675,f682]) ).
fof(f698,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f669,f21]) ).
fof(f710,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f698,f689]) ).
fof(f725,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f94,f23]) ).
fof(f732,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f94,f32]) ).
fof(f746,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f725,f22]) ).
fof(f752,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f746,f107]) ).
fof(f754,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f752,f94]) ).
fof(f766,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f69,f682]) ).
fof(f803,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,[],[f105,f41]) ).
fof(f861,plain,
! [X2,X0,X1] : top = join(complement(join(complement(composition(X0,X2)),complement(X1))),top),
inference(forward_demodulation,[],[f803,f32]) ).
fof(f874,plain,
! [X2,X0,X1] : top = join(top,complement(join(complement(composition(X0,X2)),complement(X1)))),
inference(forward_demodulation,[],[f861,f21]) ).
fof(f881,plain,
! [X1] : top = join(top,complement(complement(X1))),
inference(forward_demodulation,[],[f874,f754]) ).
fof(f917,plain,
! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(X0)))),
inference(superposition,[],[f99,f200]) ).
fof(f922,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(forward_demodulation,[],[f917,f754]) ).
fof(f925,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f922,f881]) ).
fof(f941,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f105,f925]) ).
fof(f942,plain,
top = converse(top),
inference(superposition,[],[f80,f925]) ).
fof(f943,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f70,f925]) ).
fof(f1062,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(superposition,[],[f75,f942]) ).
fof(f1312,plain,
! [X0] : join(complement(join(complement(X0),complement(top))),complement(top)) = X0,
inference(superposition,[],[f23,f941]) ).
fof(f1317,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(forward_demodulation,[],[f1312,f21]) ).
fof(f1329,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1317,f59]) ).
fof(f1331,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1329,f21]) ).
fof(f1648,plain,
top = join(zero,complement(join(zero,complement(complement(zero))))),
inference(superposition,[],[f215,f59]) ).
fof(f1659,plain,
top = complement(zero),
inference(forward_demodulation,[],[f1648,f1331]) ).
fof(f2444,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f213,f32]) ).
fof(f2463,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f2444,f21]) ).
fof(f2485,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f2463,f710]) ).
fof(f2499,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f2485,f59]) ).
fof(f2558,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,[],[f216,f215]) ).
fof(f2560,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),complement(zero)))),
inference(superposition,[],[f216,f2499]) ).
fof(f2615,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(zero),complement(complement(X0))))),
inference(forward_demodulation,[],[f2560,f21]) ).
fof(f2617,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,[],[f2558,f21]) ).
fof(f2646,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2615,f1659]) ).
fof(f2648,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,[],[f2617,f1659]) ).
fof(f2666,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2646,f732]) ).
fof(f2668,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(complement(complement(X0))))))),
inference(forward_demodulation,[],[f2648,f754]) ).
fof(f2677,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f2666,f941]) ).
fof(f2679,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(X0)),top))),
inference(forward_demodulation,[],[f2668,f732]) ).
fof(f2685,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f2677,f59]) ).
fof(f2687,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2679,f21]) ).
fof(f2690,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2685,f21]) ).
fof(f2692,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2687,f732]) ).
fof(f2696,plain,
! [X0] : join(complement(X0),complement(top)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2692,f941]) ).
fof(f2699,plain,
! [X0] : join(complement(X0),zero) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2696,f59]) ).
fof(f2700,plain,
! [X0] : join(zero,complement(X0)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2699,f21]) ).
fof(f2701,plain,
! [X0] : complement(X0) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2700,f2690]) ).
fof(f2739,plain,
! [X0] : join(zero,complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f223,f38]) ).
fof(f2799,plain,
! [X0] : complement(join(complement(complement(complement(X0))),complement(X0))) = X0,
inference(forward_demodulation,[],[f2739,f2690]) ).
fof(f2837,plain,
! [X0] : complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f2799,f21]) ).
fof(f2858,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2837,f2701]) ).
fof(f2899,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f2499,f2858]) ).
fof(f3201,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f21,f2899]) ).
fof(f3215,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f70,f2899]) ).
fof(f3222,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f3215,f28]) ).
fof(f3254,plain,
! [X0] : composition(join(converse(top),X0),converse(sF2)) = join(converse(sF3),composition(X0,converse(sF2))),
inference(superposition,[],[f129,f47]) ).
fof(f3295,plain,
! [X0] : join(converse(sF3),composition(X0,converse(sF2))) = composition(converse(top),converse(sF2)),
inference(forward_demodulation,[],[f3254,f943]) ).
fof(f3316,plain,
! [X0] : converse(composition(sF2,top)) = join(converse(sF3),composition(X0,converse(sF2))),
inference(forward_demodulation,[],[f3295,f30]) ).
fof(f3332,plain,
! [X0] : join(converse(sF3),composition(X0,converse(sF2))) = composition(top,converse(sF2)),
inference(forward_demodulation,[],[f3316,f1062]) ).
fof(f3895,plain,
zero = converse(zero),
inference(superposition,[],[f3201,f3222]) ).
fof(f38211,plain,
! [X0] : zero = join(zero,composition(join(one,converse(X0)),complement(composition(join(one,X0),top)))),
inference(superposition,[],[f176,f766]) ).
fof(f38217,plain,
zero = join(zero,composition(top,complement(composition(top,top)))),
inference(superposition,[],[f176,f942]) ).
fof(f38259,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f38217,f2899]) ).
fof(f38264,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(composition(join(one,X0),top))),
inference(forward_demodulation,[],[f38211,f2899]) ).
fof(f38287,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))),
inference(forward_demodulation,[],[f38264,f695]) ).
fof(f38297,plain,
! [X0] : zero = composition(join(one,converse(X0)),complement(top)),
inference(forward_demodulation,[],[f38287,f925]) ).
fof(f38299,plain,
! [X0] : zero = composition(join(one,converse(X0)),zero),
inference(forward_demodulation,[],[f38297,f59]) ).
fof(f38301,plain,
! [X0] : zero = join(zero,composition(converse(X0),zero)),
inference(forward_demodulation,[],[f38299,f695]) ).
fof(f38303,plain,
! [X0] : zero = composition(converse(X0),zero),
inference(forward_demodulation,[],[f38301,f2899]) ).
fof(f38322,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(superposition,[],[f76,f38303]) ).
fof(f38523,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f38322,f3895]) ).
fof(f46841,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f141,f38259]) ).
fof(f46957,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f46841,f2899]) ).
fof(f47031,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f46957,f941]) ).
fof(f47101,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47031,f38259]) ).
fof(f50925,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f653,f47101]) ).
fof(f52763,plain,
complement(zero) = composition(top,top),
inference(superposition,[],[f2858,f50925]) ).
fof(f52773,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f52763,f1659]) ).
fof(f54782,plain,
composition(sK0,top) = composition(sF1,top),
inference(superposition,[],[f119,f52773]) ).
fof(f54933,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f54782,f43]) ).
fof(f56365,plain,
zero = join(zero,composition(converse(sF1),complement(sF1))),
inference(superposition,[],[f176,f54933]) ).
fof(f56504,plain,
zero = composition(converse(sF1),complement(sF1)),
inference(forward_demodulation,[],[f56365,f2899]) ).
fof(f56566,plain,
zero = composition(converse(sF1),sF2),
inference(forward_demodulation,[],[f56504,f45]) ).
fof(f59445,plain,
complement(converse(converse(sF1))) = join(complement(converse(converse(sF1))),composition(sF2,complement(converse(zero)))),
inference(superposition,[],[f190,f56566]) ).
fof(f59549,plain,
complement(converse(converse(sF1))) = join(complement(converse(converse(sF1))),composition(sF2,complement(zero))),
inference(forward_demodulation,[],[f59445,f3895]) ).
fof(f59646,plain,
complement(converse(converse(sF1))) = join(complement(converse(converse(sF1))),composition(sF2,top)),
inference(forward_demodulation,[],[f59549,f1659]) ).
fof(f59735,plain,
complement(converse(converse(sF1))) = join(composition(sF2,top),complement(converse(converse(sF1)))),
inference(forward_demodulation,[],[f59646,f21]) ).
fof(f59812,plain,
complement(sF1) = join(composition(sF2,top),complement(sF1)),
inference(forward_demodulation,[],[f59735,f28]) ).
fof(f59883,plain,
complement(sF1) = join(complement(sF1),composition(sF2,top)),
inference(forward_demodulation,[],[f59812,f21]) ).
fof(f59941,plain,
complement(sF1) = join(complement(sF1),sF3),
inference(forward_demodulation,[],[f59883,f47]) ).
fof(f59986,plain,
complement(sF1) = join(sF3,complement(sF1)),
inference(forward_demodulation,[],[f59941,f21]) ).
fof(f60025,plain,
sF2 = join(sF3,sF2),
inference(forward_demodulation,[],[f59986,f45]) ).
fof(f60063,plain,
sF2 = join(sF2,sF3),
inference(forward_demodulation,[],[f60025,f21]) ).
fof(f60421,plain,
sF2 = sF4,
inference(superposition,[],[f49,f60063]) ).
fof(f61861,plain,
( sF2 != sF3
| sF2 != sF5 ),
inference(superposition,[],[f52,f60421]) ).
fof(f61897,plain,
( sF2 != sF4
| sF2 != sF3 ),
inference(forward_demodulation,[],[f61861,f54]) ).
fof(f61901,plain,
sF2 != sF3,
inference(forward_subsumption_resolution,[],[f61897,f60421]) ).
fof(f73178,plain,
composition(top,converse(sF2)) = join(converse(sF3),converse(sF2)),
inference(superposition,[],[f3332,f653]) ).
fof(f73180,plain,
composition(top,converse(sF2)) = join(converse(sF3),zero),
inference(superposition,[],[f3332,f38523]) ).
fof(f73219,plain,
composition(top,converse(sF2)) = join(zero,converse(sF3)),
inference(forward_demodulation,[],[f73180,f21]) ).
fof(f73220,plain,
composition(top,converse(sF2)) = converse(join(sF3,sF2)),
inference(forward_demodulation,[],[f73178,f29]) ).
fof(f73234,plain,
converse(sF3) = composition(top,converse(sF2)),
inference(forward_demodulation,[],[f73219,f2899]) ).
fof(f73235,plain,
composition(top,converse(sF2)) = converse(join(sF2,sF3)),
inference(forward_demodulation,[],[f73220,f554]) ).
fof(f73247,plain,
converse(sF4) = composition(top,converse(sF2)),
inference(forward_demodulation,[],[f73235,f49]) ).
fof(f73257,plain,
converse(sF3) = converse(sF4),
inference(forward_demodulation,[],[f73247,f73234]) ).
fof(f73265,plain,
converse(sF2) = converse(sF3),
inference(forward_demodulation,[],[f73257,f60421]) ).
fof(f73280,plain,
sF3 = converse(converse(sF2)),
inference(superposition,[],[f28,f73265]) ).
fof(f73419,plain,
sF2 = sF3,
inference(forward_demodulation,[],[f73280,f28]) ).
fof(f73438,plain,
$false,
inference(forward_subsumption_resolution,[],[f73419,f61901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL050+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:57:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.44/2.60 % (3502550)Will run a generic schedule for satisfiability detection.
% 15.44/2.60 % (3502557)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3912455795:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.44/2.60 % (3502555)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3086759474_2999 on theBenchmark for (2999ds/0Mi)
% 15.44/2.60 % (3502558)dis+10_1_sil=32000:sp=arity:random_seed=150715374:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.44/2.60 % (3502559)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3136576081:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.44/2.60 % (3502560)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3330456247:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.44/2.60 % (3502561)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4124223259:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.44/2.60 % (3502556)% WARNING: option uhcvi not known.
% 15.44/2.60 % (3502556)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3796803983:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.44/2.60 % TRYING [1]
% 15.44/2.60 % TRYING [2]
% 15.44/2.60 % TRYING [3]
% 15.44/2.60 % TRYING [4]
% 15.44/2.60 % (3502558)Instruction limit reached!
% 15.44/2.60 % (3502558)------------------------------
% 15.44/2.60 % (3502558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (3502558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (3502558)CaDiCaL version: 2.1.3
% 15.44/2.60 % (3502558)Termination reason: Instruction limit
% 15.44/2.60 % (3502558)Termination phase: Saturation
% 15.44/2.60 % (3502558)Time elapsed: 0.060 s
% 15.44/2.60 % (3502558)Peak memory usage: 13 MB
% 15.44/2.60 % (3502558)Instructions burned: 103 (million)
% 15.44/2.60 % (3502559)Instruction limit reached!
% 15.44/2.60 % (3502559)------------------------------
% 15.44/2.60 % (3502559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (3502559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (3502559)CaDiCaL version: 2.1.3
% 15.44/2.60 % (3502559)Termination reason: Instruction limit
% 15.44/2.60 % (3502559)Termination phase: Saturation
% 15.44/2.60 % (3502559)Time elapsed: 0.070 s
% 15.44/2.60 % (3502559)Peak memory usage: 13 MB
% 15.44/2.60 % (3502559)Instructions burned: 116 (million)
% 15.44/2.60 % (3502560)Instruction limit reached!
% 15.44/2.60 % (3502560)------------------------------
% 15.44/2.60 % (3502560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (3502560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (3502560)CaDiCaL version: 2.1.3
% 15.44/2.60 % (3502560)Termination reason: Instruction limit
% 15.44/2.60 % (3502560)Termination phase: Saturation
% 15.44/2.60 % (3502560)Time elapsed: 0.078 s
% 15.44/2.60 % (3502560)Peak memory usage: 13 MB
% 15.44/2.60 % (3502560)Instructions burned: 132 (million)
% 15.44/2.60 % (3502569)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1759226686:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.44/2.60 % TRYING [1]
% 15.44/2.60 % TRYING [2]
% 15.44/2.60 % (3502570)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3490165523:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.44/2.60 % TRYING [3]
% 15.44/2.60 % (3502561)Instruction limit reached!
% 15.44/2.60 % (3502561)------------------------------
% 15.44/2.60 % (3502561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (3502561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.60 % (3502561)CaDiCaL version: 2.1.3
% 15.44/2.60 % (3502561)Termination reason: Instruction limit
% 15.44/2.60 % (3502561)Termination phase: Saturation
% 15.44/2.60 % (3502561)Time elapsed: 0.097 s
% 15.44/2.60 % (3502561)Peak memory usage: 13 MB
% 15.44/2.60 % (3502561)Instructions burned: 160 (million)
% 15.44/2.60 % (3502571)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=2977018838:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.44/2.60 % (3502574)ott-21_1_sil=16000:fs=off:random_seed=940916583:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.44/2.60 % TRYING [4]
% 15.44/2.60 % (3502570)Instruction limit reached!
% 15.44/2.60 % (3502570)------------------------------
% 15.44/2.60 % (3502570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.60 % (3502570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502570)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502570)Termination reason: Instruction limit
% 38.85/6.00 % (3502570)Termination phase: Saturation
% 38.85/6.00 % (3502570)Time elapsed: 0.083 s
% 38.85/6.00 % (3502570)Peak memory usage: 13 MB
% 38.85/6.00 % (3502570)Instructions burned: 131 (million)
% 38.85/6.00 % (3502577)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1922413291:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 38.85/6.00 % (3502574)Instruction limit reached!
% 38.85/6.00 % (3502574)------------------------------
% 38.85/6.00 % (3502574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502574)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502574)Termination reason: Instruction limit
% 38.85/6.00 % (3502574)Termination phase: Saturation
% 38.85/6.00 % (3502574)Time elapsed: 0.085 s
% 38.85/6.00 % (3502574)Peak memory usage: 12 MB
% 38.85/6.00 % (3502574)Instructions burned: 180 (million)
% 38.85/6.00 % TRYING [5]
% 38.85/6.00 % (3502579)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3565235007:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 38.85/6.00 % TRYING [1]
% 38.85/6.00 % TRYING [2]
% 38.85/6.00 % TRYING [3]
% 38.85/6.00 % TRYING [5]
% 38.85/6.00 % TRYING [4]
% 38.85/6.00 % (3502569)Instruction limit reached!
% 38.85/6.00 % (3502569)------------------------------
% 38.85/6.00 % (3502569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502569)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502569)Termination reason: Instruction limit
% 38.85/6.00 % (3502569)Termination phase: Finite model building constraint generation
% 38.85/6.00 % (3502569)Time elapsed: 0.286 s
% 38.85/6.00 % (3502569)Peak memory usage: 28 MB
% 38.85/6.00 % (3502569)Instructions burned: 716 (million)
% 38.85/6.00 % (3502581)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3906345779:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 38.85/6.00 % (3502577)Instruction limit reached!
% 38.85/6.00 % (3502577)------------------------------
% 38.85/6.00 % (3502577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502577)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502577)Termination reason: Instruction limit
% 38.85/6.00 % (3502577)Termination phase: Saturation
% 38.85/6.00 % (3502577)Time elapsed: 0.259 s
% 38.85/6.00 % (3502577)Peak memory usage: 16 MB
% 38.85/6.00 % (3502577)Instructions burned: 478 (million)
% 38.85/6.00 % (3502571)Instruction limit reached!
% 38.85/6.00 % (3502571)------------------------------
% 38.85/6.00 % (3502571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502571)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502571)Termination reason: Instruction limit
% 38.85/6.00 % (3502571)Termination phase: Saturation
% 38.85/6.00 % (3502571)Time elapsed: 0.354 s
% 38.85/6.00 % (3502571)Peak memory usage: 19 MB
% 38.85/6.00 % (3502571)Instructions burned: 684 (million)
% 38.85/6.00 % (3502583)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=618944203:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 38.85/6.00 % (3502584)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=2520283086:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 38.85/6.00 % (3502579)Instruction limit reached!
% 38.85/6.00 % (3502579)------------------------------
% 38.85/6.00 % (3502579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502579)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502579)Termination reason: Instruction limit
% 38.85/6.00 % (3502579)Termination phase: Finite model building SAT solving
% 38.85/6.00 % (3502579)Time elapsed: 0.304 s
% 38.85/6.00 % (3502579)Peak memory usage: 23 MB
% 38.85/6.00 % (3502579)Instructions burned: 865 (million)
% 38.85/6.00 % (3502587)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=382372854:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 38.85/6.00 % (3502584)Instruction limit reached!
% 38.85/6.00 % (3502584)------------------------------
% 38.85/6.00 % (3502584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502584)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502584)Termination reason: Instruction limit
% 38.85/6.00 % (3502584)Termination phase: Saturation
% 38.85/6.00 % (3502584)Time elapsed: 0.393 s
% 38.85/6.00 % (3502584)Peak memory usage: 18 MB
% 38.85/6.00 % (3502584)Instructions burned: 692 (million)
% 38.85/6.00 % (3502583)Instruction limit reached!
% 38.85/6.00 % (3502583)------------------------------
% 38.85/6.00 % (3502583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502583)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502583)Termination reason: Instruction limit
% 38.85/6.00 % (3502583)Termination phase: Finite model building constraint generation
% 38.85/6.00 % (3502583)Time elapsed: 0.409 s
% 38.85/6.00 % (3502583)Peak memory usage: 110 MB
% 38.85/6.00 % (3502583)Instructions burned: 891 (million)
% 38.85/6.00 % (3502589)fmb+10_1_sil=64000:random_seed=2363801178:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 38.85/6.00 % TRYING [1]
% 38.85/6.00 % TRYING [2]
% 38.85/6.00 % (3502591)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1833357221:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 38.85/6.00 % TRYING [20]
% 38.85/6.00 % TRYING [3]
% 38.85/6.00 % TRYING [6]
% 38.85/6.00 % TRYING [4]
% 38.85/6.00 % (3502587)Instruction limit reached!
% 38.85/6.00 % (3502587)------------------------------
% 38.85/6.00 % (3502587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502587)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502587)Termination reason: Instruction limit
% 38.85/6.00 % (3502587)Termination phase: Saturation
% 38.85/6.00 % (3502587)Time elapsed: 0.458 s
% 38.85/6.00 % (3502587)Peak memory usage: 18 MB
% 38.85/6.00 % (3502587)Instructions burned: 879 (million)
% 38.85/6.00 % (3502593)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=744275378:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 38.85/6.00 % TRYING [8]
% 38.85/6.00 % (3502581)Instruction limit reached!
% 38.85/6.00 % (3502581)------------------------------
% 38.85/6.00 % (3502581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502581)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502581)Termination reason: Instruction limit
% 38.85/6.00 % (3502581)Termination phase: Saturation
% 38.85/6.00 % (3502581)Time elapsed: 0.671 s
% 38.85/6.00 % (3502581)Peak memory usage: 22 MB
% 38.85/6.00 % (3502581)Instructions burned: 1181 (million)
% 38.85/6.00 % (3502595)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1171751375:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 38.85/6.00 % TRYING [5]
% 38.85/6.00 % (3502593)Instruction limit reached!
% 38.85/6.00 % (3502593)------------------------------
% 38.85/6.00 % (3502593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502593)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502593)Termination reason: Instruction limit
% 38.85/6.00 % (3502593)Termination phase: Finite model building constraint generation
% 38.85/6.00 % (3502593)Time elapsed: 0.317 s
% 38.85/6.00 % (3502593)Peak memory usage: 75 MB
% 38.85/6.00 % (3502593)Instructions burned: 920 (million)
% 38.85/6.00 % (3502597)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3239060873:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 38.85/6.00 % (3502597)Instruction limit reached!
% 38.85/6.00 % (3502597)------------------------------
% 38.85/6.00 % (3502597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502597)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502597)Termination reason: Instruction limit
% 38.85/6.00 % (3502597)Termination phase: Saturation
% 38.85/6.00 % (3502597)Time elapsed: 0.748 s
% 38.85/6.00 % (3502597)Peak memory usage: 28 MB
% 38.85/6.00 % (3502597)Instructions burned: 1474 (million)
% 38.85/6.00 % (3502599)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=453432780:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 38.85/6.00 % (3502599)Cannot represent all propositional literals internally
% 38.85/6.00 % (3502599)Refutation not found, incomplete strategy
% 38.85/6.00 % (3502599)------------------------------
% 38.85/6.00 % (3502599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502599)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502599)Termination reason: Refutation not found, incomplete strategy
% 38.85/6.00 % (3502599)Time elapsed: 0.007 s
% 38.85/6.00 % (3502599)Peak memory usage: 10 MB
% 38.85/6.00 % (3502599)Instructions burned: 14 (million)
% 38.85/6.00 % (3502599)------------------------------
% 38.85/6.00 % (3502599)------------------------------
% 38.85/6.00 % (3502601)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1038756871:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 38.85/6.00 % TRYING [16]
% 38.85/6.00 % TRYING [6]
% 38.85/6.00 % (3502601)Instruction limit reached!
% 38.85/6.00 % (3502601)------------------------------
% 38.85/6.00 % (3502601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502601)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502601)Termination reason: Instruction limit
% 38.85/6.00 % (3502601)Termination phase: Finite model building constraint generation
% 38.85/6.00 % (3502601)Time elapsed: 0.736 s
% 38.85/6.00 % (3502601)Peak memory usage: 132 MB
% 38.85/6.00 % (3502601)Instructions burned: 2176 (million)
% 38.85/6.00 % (3502603)ott-2_1_sil=16000:newcnf=on:random_seed=254938444:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 38.85/6.00 % (3502603)Instruction limit reached!
% 38.85/6.00 % (3502603)------------------------------
% 38.85/6.00 % (3502603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502603)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502603)Termination reason: Instruction limit
% 38.85/6.00 % (3502603)Termination phase: Saturation
% 38.85/6.00 % (3502603)Time elapsed: 0.514 s
% 38.85/6.00 % (3502603)Peak memory usage: 20 MB
% 38.85/6.00 % (3502603)Instructions burned: 869 (million)
% 38.85/6.00 % (3502605)ott+10_1_sil=32000:tgt=ground:random_seed=1234356271:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 38.85/6.00 % TRYING [7]
% 38.85/6.00 % (3502595)Instruction limit reached!
% 38.85/6.00 % (3502595)------------------------------
% 38.85/6.00 % (3502595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502595)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502595)Termination reason: Instruction limit
% 38.85/6.00 % (3502595)Termination phase: Saturation
% 38.85/6.00 % (3502595)Time elapsed: 2.757 s
% 38.85/6.00 % (3502595)Peak memory usage: 56 MB
% 38.85/6.00 % (3502595)Instructions burned: 5131 (million)
% 38.85/6.00 % (3502607)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2247634734:i=54282_2961 on theBenchmark for (2961ds/54282Mi)
% 38.85/6.00 % TRYING [1]
% 38.85/6.00 % TRYING [2]
% 38.85/6.00 % TRYING [3]
% 38.85/6.00 % TRYING [4]
% 38.85/6.00 % TRYING [5]
% 38.85/6.00 % (3502591)Instruction limit reached!
% 38.85/6.00 % (3502591)------------------------------
% 38.85/6.00 % (3502591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502591)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502591)Termination reason: Instruction limit
% 38.85/6.00 % (3502591)Termination phase: Finite model building constraint generation
% 38.85/6.00 % (3502591)Time elapsed: 3.395 s
% 38.85/6.00 % (3502591)Peak memory usage: 675 MB
% 38.85/6.00 % (3502591)Instructions burned: 9516 (million)
% 38.85/6.00 % (3502609)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1683846388:i=3512:aac=none_2955 on theBenchmark for (2955ds/3512Mi)
% 38.85/6.00 % TRYING [6]
% 38.85/6.00 % (3502605) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3502550-3502605"...
% 38.85/6.00 % (3502605)...printing done.
% 38.85/6.00 % (3502605)Refutation found. Thanks to Tanya!
% 38.85/6.00 % SZS status Theorem for theBenchmark
% 38.85/6.00 % SZS output start Proof for theBenchmark
% See solution above
% 38.85/6.00 % (3502605)------------------------------
% 38.85/6.00 % (3502605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.85/6.00 % (3502605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.85/6.00 % (3502605)CaDiCaL version: 2.1.3
% 38.85/6.00 % (3502605)Termination reason: Refutation
% 38.85/6.00 % (3502605)Time elapsed: 2.016 s
% 38.85/6.00 % (3502605)Peak memory usage: 43 MB
% 38.85/6.00 % (3502605)Instructions burned: 3405 (million)
% 38.85/6.00 % (3502550)Success in time 5.585 s
% 38.85/6.00 % Vampire exiting
%------------------------------------------------------------------------------