%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:44 AM UTC 2026
% Result : Unsatisfiable 6.93s 1.67s
% Output : Refutation 6.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of formulae : 147 ( 147 unt; 7 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 157 ( 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility1) ).
fof(f10,axiom,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility2) ).
fof(f11,axiom,
! [X0] : join(complement(X0),X0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).
fof(f12,axiom,
! [X0] : meet(complement(X0),X0) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability2) ).
fof(f13,axiom,
! [X0] : complement(complement(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability3) ).
fof(f14,axiom,
! [X0,X1] : join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',orthomodular_law) ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),join(X0,X1))),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_orthomodular_law) ).
fof(f17,plain,
n1 != join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))),
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF0 = complement(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f19,plain,
complement(a) = sF0,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF1 = join(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f21,plain,
join(a,b) = sF1,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF2 = meet(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f23,plain,
meet(sF0,sF1) = sF2,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF3 = complement(b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f25,plain,
complement(b) = sF3,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF4 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f27,plain,
meet(a,b) = sF4,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f29,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF6 = join(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f31,plain,
join(sF2,sF5) = sF6,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
n1 != sF6,
inference(definition_folding,[],[f17,f31,f29,f27,f25,f23,f21,f19]) ).
fof(f33,plain,
a = complement(sF0),
inference(superposition,[],[f13,f19]) ).
fof(f34,plain,
b = complement(sF3),
inference(superposition,[],[f13,f25]) ).
fof(f44,plain,
! [X0] : n0 = meet(X0,complement(X0)),
inference(superposition,[],[f12,f13]) ).
fof(f53,plain,
a = meet(a,sF1),
inference(superposition,[],[f3,f21]) ).
fof(f56,plain,
sF3 = meet(sF3,sF5),
inference(superposition,[],[f3,f29]) ).
fof(f58,plain,
a = meet(sF1,a),
inference(forward_demodulation,[],[f53,f5]) ).
fof(f76,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f83,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f90,plain,
! [X0] : meet(complement(complement(X0)),complement(X0)) = complement(n1),
inference(superposition,[],[f9,f11]) ).
fof(f93,plain,
meet(complement(sF2),complement(sF5)) = complement(sF6),
inference(superposition,[],[f9,f31]) ).
fof(f94,plain,
complement(sF5) = meet(complement(sF3),complement(sF4)),
inference(superposition,[],[f9,f29]) ).
fof(f97,plain,
! [X0,X1] : n1 = join(meet(complement(X0),complement(X1)),join(X0,X1)),
inference(superposition,[],[f11,f9]) ).
fof(f98,plain,
! [X0,X1] : join(X0,X1) = complement(meet(complement(X0),complement(X1))),
inference(superposition,[],[f13,f9]) ).
fof(f99,plain,
! [X0,X1] : n1 = complement(meet(complement(meet(complement(X0),complement(X1))),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f97,f98]) ).
fof(f102,plain,
complement(sF5) = meet(b,complement(sF4)),
inference(forward_demodulation,[],[f94,f34]) ).
fof(f105,plain,
n0 = complement(n1),
inference(forward_demodulation,[],[f90,f12]) ).
fof(f108,plain,
! [X0,X1] : n1 = complement(meet(complement(meet(complement(X0),complement(X1))),meet(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f99,f9]) ).
fof(f115,plain,
n1 = complement(n0),
inference(forward_demodulation,[],[f108,f12]) ).
fof(f146,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),complement(X0)),
inference(superposition,[],[f6,f10]) ).
fof(f148,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(complement(complement(X1)),complement(complement(X0)))),
inference(forward_demodulation,[],[f146,f98]) ).
fof(f169,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f148,f13]) ).
fof(f186,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[],[f169,f13]) ).
fof(f217,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f7,f1]) ).
fof(f220,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f223,plain,
! [X0] : meet(a,meet(b,X0)) = meet(sF4,X0),
inference(superposition,[],[f7,f27]) ).
fof(f228,plain,
! [X0] : meet(sF3,X0) = meet(sF3,meet(sF5,X0)),
inference(superposition,[],[f7,f56]) ).
fof(f234,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(superposition,[],[f3,f7]) ).
fof(f236,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f239,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,complement(meet(complement(meet(X0,X1)),complement(X2))))),
inference(forward_demodulation,[],[f234,f98]) ).
fof(f252,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f8,f6]) ).
fof(f256,plain,
! [X0] : join(a,join(b,X0)) = join(sF1,X0),
inference(superposition,[],[f8,f21]) ).
fof(f258,plain,
! [X0] : join(sF2,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f8,f31]) ).
fof(f283,plain,
! [X0] : join(sF2,join(sF5,X0)) = complement(meet(complement(sF6),complement(X0))),
inference(forward_demodulation,[],[f258,f98]) ).
fof(f285,plain,
! [X0] : join(a,join(b,X0)) = complement(meet(complement(sF1),complement(X0))),
inference(forward_demodulation,[],[f256,f98]) ).
fof(f289,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = complement(meet(complement(X1),complement(join(X0,X2)))),
inference(forward_demodulation,[],[f252,f98]) ).
fof(f305,plain,
! [X0] : complement(meet(complement(sF6),complement(X0))) = complement(meet(complement(sF2),complement(join(sF5,X0)))),
inference(forward_demodulation,[],[f283,f98]) ).
fof(f307,plain,
! [X0] : complement(meet(complement(sF1),complement(X0))) = complement(meet(complement(a),complement(join(b,X0)))),
inference(forward_demodulation,[],[f285,f98]) ).
fof(f311,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = complement(meet(complement(X1),meet(complement(X0),complement(X2)))),
inference(forward_demodulation,[],[f289,f9]) ).
fof(f327,plain,
! [X0] : complement(meet(complement(sF6),complement(X0))) = complement(meet(complement(sF2),meet(complement(sF5),complement(X0)))),
inference(forward_demodulation,[],[f305,f9]) ).
fof(f329,plain,
! [X0] : complement(meet(complement(sF1),complement(X0))) = complement(meet(complement(a),meet(complement(b),complement(X0)))),
inference(forward_demodulation,[],[f307,f9]) ).
fof(f333,plain,
! [X2,X0,X1] : complement(meet(complement(X1),meet(complement(X0),complement(X2)))) = complement(meet(complement(join(X0,X1)),complement(X2))),
inference(forward_demodulation,[],[f311,f98]) ).
fof(f346,plain,
! [X0] : complement(meet(complement(sF1),complement(X0))) = complement(meet(complement(a),meet(sF3,complement(X0)))),
inference(forward_demodulation,[],[f329,f25]) ).
fof(f350,plain,
! [X2,X0,X1] : complement(meet(complement(X1),meet(complement(X0),complement(X2)))) = complement(meet(meet(complement(X0),complement(X1)),complement(X2))),
inference(forward_demodulation,[],[f333,f9]) ).
fof(f354,plain,
! [X0] : complement(meet(complement(sF1),complement(X0))) = complement(meet(sF0,meet(sF3,complement(X0)))),
inference(forward_demodulation,[],[f346,f19]) ).
fof(f357,plain,
! [X2,X0,X1] : complement(meet(complement(X0),meet(complement(X1),complement(X2)))) = complement(meet(complement(X1),meet(complement(X0),complement(X2)))),
inference(forward_demodulation,[],[f350,f7]) ).
fof(f387,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),meet(complement(complement(X0)),complement(meet(X0,X1)))),
inference(superposition,[],[f15,f10]) ).
fof(f408,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(complement(complement(X0)),complement(meet(complement(complement(X0)),complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f387,f98]) ).
fof(f430,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f408,f13]) ).
fof(f695,plain,
sF1 = join(sF1,sF2),
inference(superposition,[],[f76,f23]) ).
fof(f716,plain,
sF1 = complement(meet(complement(sF1),complement(sF2))),
inference(forward_demodulation,[],[f695,f98]) ).
fof(f733,plain,
sF1 = complement(meet(sF0,meet(sF3,complement(sF2)))),
inference(forward_demodulation,[],[f716,f354]) ).
fof(f783,plain,
b = meet(b,sF1),
inference(superposition,[],[f83,f21]) ).
fof(f786,plain,
sF5 = meet(sF5,sF6),
inference(superposition,[],[f83,f31]) ).
fof(f800,plain,
b = meet(sF1,b),
inference(forward_demodulation,[],[f783,f5]) ).
fof(f825,plain,
! [X0] : meet(b,meet(complement(sF4),X0)) = meet(complement(sF5),X0),
inference(superposition,[],[f7,f102]) ).
fof(f914,plain,
! [X0] : meet(complement(sF2),meet(complement(sF5),X0)) = meet(complement(sF6),X0),
inference(superposition,[],[f7,f93]) ).
fof(f917,plain,
! [X0] : meet(complement(sF6),X0) = meet(complement(sF2),meet(b,meet(complement(sF4),X0))),
inference(forward_demodulation,[],[f914,f825]) ).
fof(f940,plain,
! [X2,X0,X1] : complement(meet(X0,meet(X1,X2))) = complement(meet(X2,meet(X0,X1))),
inference(superposition,[],[f186,f7]) ).
fof(f953,plain,
! [X2,X0,X1] : complement(meet(meet(X1,X0),X2)) = join(complement(meet(X0,X1)),complement(X2)),
inference(superposition,[],[f10,f186]) ).
fof(f970,plain,
! [X2,X0,X1] : complement(meet(meet(X1,X0),X2)) = complement(meet(complement(complement(meet(X0,X1))),complement(complement(X2)))),
inference(forward_demodulation,[],[f953,f98]) ).
fof(f984,plain,
! [X2,X0,X1] : complement(meet(meet(X1,X0),X2)) = complement(meet(complement(complement(meet(X0,X1))),X2)),
inference(forward_demodulation,[],[f970,f13]) ).
fof(f994,plain,
! [X2,X0,X1] : complement(meet(meet(X0,X1),X2)) = complement(meet(meet(X1,X0),X2)),
inference(forward_demodulation,[],[f984,f13]) ).
fof(f1001,plain,
! [X2,X0,X1] : complement(meet(meet(X0,X1),X2)) = complement(meet(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f994,f7]) ).
fof(f1006,plain,
! [X2,X0,X1] : complement(meet(X0,meet(X1,X2))) = complement(meet(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f1001,f7]) ).
fof(f1021,plain,
! [X0] : n0 = meet(X0,n0),
inference(superposition,[],[f217,f44]) ).
fof(f1063,plain,
meet(sF4,complement(sF4)) = meet(a,complement(sF5)),
inference(superposition,[],[f223,f102]) ).
fof(f1085,plain,
n0 = meet(a,complement(sF5)),
inference(forward_demodulation,[],[f1063,f44]) ).
fof(f1097,plain,
! [X0] : meet(b,X0) = meet(sF1,meet(b,X0)),
inference(superposition,[],[f7,f800]) ).
fof(f1705,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f220]) ).
fof(f1717,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X0,meet(X1,meet(meet(X1,X0),X2))),
inference(superposition,[],[f217,f220]) ).
fof(f1727,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X1,meet(X1,meet(X0,X2)))),
inference(forward_demodulation,[],[f1717,f7]) ).
fof(f1769,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f1727,f217]) ).
fof(f1997,plain,
! [X2,X3,X0,X1] : meet(X3,meet(X0,meet(X1,X2))) = meet(X2,meet(X3,meet(X0,X1))),
inference(superposition,[],[f236,f7]) ).
fof(f3124,plain,
complement(a) = complement(meet(sF1,complement(meet(sF1,complement(a))))),
inference(superposition,[],[f430,f58]) ).
fof(f3237,plain,
sF0 = complement(meet(sF1,complement(meet(sF1,sF0)))),
inference(forward_demodulation,[],[f3124,f19]) ).
fof(f3300,plain,
sF0 = complement(meet(sF1,complement(meet(sF0,sF1)))),
inference(forward_demodulation,[],[f3237,f186]) ).
fof(f3333,plain,
sF0 = complement(meet(sF1,complement(sF2))),
inference(forward_demodulation,[],[f3300,f23]) ).
fof(f5359,plain,
! [X0] : complement(meet(complement(X0),complement(sF6))) = complement(meet(complement(sF2),meet(complement(X0),complement(sF5)))),
inference(superposition,[],[f357,f93]) ).
fof(f7923,plain,
! [X0] : join(sF0,complement(X0)) = complement(meet(meet(sF1,complement(sF2)),X0)),
inference(superposition,[],[f10,f3333]) ).
fof(f7982,plain,
! [X0] : join(sF0,complement(X0)) = complement(meet(sF1,meet(complement(sF2),X0))),
inference(forward_demodulation,[],[f7923,f7]) ).
fof(f7997,plain,
! [X0] : complement(meet(complement(sF0),complement(complement(X0)))) = complement(meet(sF1,meet(complement(sF2),X0))),
inference(forward_demodulation,[],[f7982,f98]) ).
fof(f8007,plain,
! [X0] : complement(meet(complement(sF0),X0)) = complement(meet(sF1,meet(complement(sF2),X0))),
inference(forward_demodulation,[],[f7997,f13]) ).
fof(f8012,plain,
! [X0] : complement(meet(a,X0)) = complement(meet(sF1,meet(complement(sF2),X0))),
inference(forward_demodulation,[],[f8007,f33]) ).
fof(f11460,plain,
meet(sF3,sF5) = meet(sF3,sF6),
inference(superposition,[],[f228,f786]) ).
fof(f11532,plain,
sF3 = meet(sF3,sF6),
inference(forward_demodulation,[],[f11460,f56]) ).
fof(f11558,plain,
sF6 = join(sF6,sF3),
inference(superposition,[],[f76,f11532]) ).
fof(f11580,plain,
sF6 = join(sF3,sF6),
inference(forward_demodulation,[],[f11558,f6]) ).
fof(f11585,plain,
sF6 = complement(meet(complement(sF3),complement(sF6))),
inference(forward_demodulation,[],[f11580,f98]) ).
fof(f11587,plain,
sF6 = complement(meet(complement(sF2),meet(complement(sF3),complement(sF5)))),
inference(forward_demodulation,[],[f11585,f5359]) ).
fof(f11588,plain,
sF6 = complement(meet(complement(sF2),meet(b,complement(sF5)))),
inference(forward_demodulation,[],[f11587,f34]) ).
fof(f11589,plain,
sF6 = complement(meet(b,meet(complement(sF2),complement(sF5)))),
inference(forward_demodulation,[],[f11588,f1006]) ).
fof(f11590,plain,
sF6 = complement(meet(b,complement(sF6))),
inference(forward_demodulation,[],[f11589,f93]) ).
fof(f11736,plain,
complement(meet(complement(sF6),sF1)) = complement(meet(complement(sF2),meet(complement(sF5),sF1))),
inference(superposition,[],[f327,f733]) ).
fof(f11768,plain,
complement(meet(complement(sF6),sF1)) = complement(meet(sF1,meet(complement(sF2),complement(sF5)))),
inference(forward_demodulation,[],[f11736,f940]) ).
fof(f11793,plain,
complement(meet(a,complement(sF5))) = complement(meet(complement(sF6),sF1)),
inference(forward_demodulation,[],[f11768,f8012]) ).
fof(f11813,plain,
complement(meet(a,complement(sF5))) = complement(meet(sF1,complement(sF6))),
inference(forward_demodulation,[],[f11793,f186]) ).
fof(f11826,plain,
complement(n0) = complement(meet(sF1,complement(sF6))),
inference(forward_demodulation,[],[f11813,f1085]) ).
fof(f11834,plain,
n1 = complement(meet(sF1,complement(sF6))),
inference(forward_demodulation,[],[f11826,f115]) ).
fof(f12406,plain,
complement(n1) = meet(sF1,complement(sF6)),
inference(superposition,[],[f13,f11834]) ).
fof(f12466,plain,
n0 = meet(sF1,complement(sF6)),
inference(forward_demodulation,[],[f12406,f105]) ).
fof(f12909,plain,
! [X0] : meet(X0,n0) = meet(complement(sF6),meet(X0,sF1)),
inference(superposition,[],[f236,f12466]) ).
fof(f12924,plain,
! [X0] : meet(X0,n0) = meet(complement(sF2),meet(b,meet(complement(sF4),meet(X0,sF1)))),
inference(forward_demodulation,[],[f12909,f917]) ).
fof(f12939,plain,
! [X0] : meet(X0,n0) = meet(b,meet(complement(sF2),meet(complement(sF4),meet(X0,sF1)))),
inference(forward_demodulation,[],[f12924,f1705]) ).
fof(f12951,plain,
! [X0] : meet(X0,n0) = meet(b,meet(sF1,meet(complement(sF2),meet(complement(sF4),X0)))),
inference(forward_demodulation,[],[f12939,f1997]) ).
fof(f12961,plain,
! [X0] : meet(X0,n0) = meet(sF1,meet(b,meet(complement(sF2),meet(complement(sF4),X0)))),
inference(forward_demodulation,[],[f12951,f1705]) ).
fof(f12968,plain,
! [X0] : meet(X0,n0) = meet(b,meet(complement(sF2),meet(complement(sF4),X0))),
inference(forward_demodulation,[],[f12961,f1097]) ).
fof(f12973,plain,
! [X0] : n0 = meet(b,meet(complement(sF2),meet(complement(sF4),X0))),
inference(forward_demodulation,[],[f12968,f1021]) ).
fof(f13115,plain,
complement(sF6) = meet(b,complement(sF6)),
inference(superposition,[],[f13,f11590]) ).
fof(f13375,plain,
! [X0] : complement(sF6) = meet(b,meet(complement(sF6),complement(meet(complement(complement(sF6)),complement(X0))))),
inference(superposition,[],[f239,f13115]) ).
fof(f13385,plain,
! [X0] : complement(sF6) = meet(b,meet(complement(sF2),meet(b,meet(complement(sF4),complement(meet(complement(complement(sF6)),complement(X0))))))),
inference(forward_demodulation,[],[f13375,f917]) ).
fof(f13401,plain,
! [X0] : complement(sF6) = meet(complement(sF2),meet(b,meet(complement(sF4),complement(meet(complement(complement(sF6)),complement(X0)))))),
inference(forward_demodulation,[],[f13385,f1769]) ).
fof(f13412,plain,
! [X0] : complement(sF6) = meet(b,meet(complement(sF2),meet(complement(sF4),complement(meet(complement(complement(sF6)),complement(X0)))))),
inference(forward_demodulation,[],[f13401,f1705]) ).
fof(f13422,plain,
n0 = complement(sF6),
inference(forward_demodulation,[],[f13412,f12973]) ).
fof(f13568,plain,
sF6 = complement(n0),
inference(superposition,[],[f13,f13422]) ).
fof(f13624,plain,
n1 = sF6,
inference(forward_demodulation,[],[f13568,f115]) ).
fof(f13641,plain,
$false,
inference(forward_subsumption_resolution,[],[f13624,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 13:57:46 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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
% 6.93/1.67 % (834350)Will run a generic schedule for satisfiability detection.
% 6.93/1.67 % (834356)% WARNING: option uhcvi not known.
% 6.93/1.67 % (834356)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3717917933:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.93/1.67 % (834360)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4064770147:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.93/1.67 % (834355)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=208095233_2999 on theBenchmark for (2999ds/0Mi)
% 6.93/1.67 % (834357)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1448422521:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.93/1.67 % (834359)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3611061253:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.93/1.67 % (834358)dis+10_1_sil=32000:sp=arity:random_seed=3313325882:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.93/1.67 % TRYING [1]
% 6.93/1.67 % (834361)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=933565083:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.93/1.67 % TRYING [2]
% 6.93/1.67 % TRYING [3]
% 6.93/1.67 % TRYING [4]
% 6.93/1.67 % TRYING [5]
% 6.93/1.67 % TRYING [6]
% 6.93/1.67 % (834358)Instruction limit reached!
% 6.93/1.67 % (834358)------------------------------
% 6.93/1.67 % (834358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834358)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834358)Termination reason: Instruction limit
% 6.93/1.67 % (834358)Termination phase: Saturation
% 6.93/1.67 % (834358)Time elapsed: 0.097 s
% 6.93/1.67 % (834358)Peak memory usage: 12 MB
% 6.93/1.67 % (834358)Instructions burned: 103 (million)
% 6.93/1.67 % (834359)Instruction limit reached!
% 6.93/1.67 % (834359)------------------------------
% 6.93/1.67 % (834359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834359)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834359)Termination reason: Instruction limit
% 6.93/1.67 % (834359)Termination phase: Saturation
% 6.93/1.67 % (834359)Time elapsed: 0.111 s
% 6.93/1.67 % (834359)Peak memory usage: 12 MB
% 6.93/1.67 % (834359)Instructions burned: 116 (million)
% 6.93/1.67 % (834360)Instruction limit reached!
% 6.93/1.67 % (834360)------------------------------
% 6.93/1.67 % (834360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834360)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834360)Termination reason: Instruction limit
% 6.93/1.67 % (834360)Termination phase: Saturation
% 6.93/1.67 % (834360)Time elapsed: 0.122 s
% 6.93/1.67 % (834360)Peak memory usage: 12 MB
% 6.93/1.67 % (834360)Instructions burned: 131 (million)
% 6.93/1.67 % (834370)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3053982613:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.93/1.67 % (834369)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2403224959:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.93/1.67 % TRYING [1]
% 6.93/1.67 % TRYING [2]
% 6.93/1.67 % TRYING [3]
% 6.93/1.67 % TRYING [4]
% 6.93/1.67 % (834361)Instruction limit reached!
% 6.93/1.67 % (834361)------------------------------
% 6.93/1.67 % (834361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834361)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834361)Termination reason: Instruction limit
% 6.93/1.67 % (834361)Termination phase: Saturation
% 6.93/1.67 % (834361)Time elapsed: 0.155 s
% 6.93/1.67 % (834361)Peak memory usage: 12 MB
% 6.93/1.67 % (834361)Instructions burned: 159 (million)
% 6.93/1.67 % (834371)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=2059226875:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.93/1.67 % TRYING [5]
% 6.93/1.67 % (834374)ott-21_1_sil=16000:fs=off:random_seed=3512880212:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.93/1.67 % TRYING [7]
% 6.93/1.67 % TRYING [6]
% 6.93/1.67 % (834370)Instruction limit reached!
% 6.93/1.67 % (834370)------------------------------
% 6.93/1.67 % (834370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834370)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834370)Termination reason: Instruction limit
% 6.93/1.67 % (834370)Termination phase: Saturation
% 6.93/1.67 % (834370)Time elapsed: 0.126 s
% 6.93/1.67 % (834370)Peak memory usage: 13 MB
% 6.93/1.67 % (834370)Instructions burned: 132 (million)
% 6.93/1.67 % (834377)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2792583887:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.93/1.67 % (834374)Instruction limit reached!
% 6.93/1.67 % (834374)------------------------------
% 6.93/1.67 % (834374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834374)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834374)Termination reason: Instruction limit
% 6.93/1.67 % (834374)Termination phase: Saturation
% 6.93/1.67 % (834374)Time elapsed: 0.151 s
% 6.93/1.67 % (834374)Peak memory usage: 11 MB
% 6.93/1.67 % (834374)Instructions burned: 181 (million)
% 6.93/1.67 % (834379)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2822038796:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 6.93/1.67 % TRYING [1]
% 6.93/1.67 % TRYING [2]
% 6.93/1.67 % TRYING [3]
% 6.93/1.67 % TRYING [4]
% 6.93/1.67 % TRYING [7]
% 6.93/1.67 % TRYING [5]
% 6.93/1.67 % TRYING [8]
% 6.93/1.67 % TRYING [6]
% 6.93/1.67 % (834369)Instruction limit reached!
% 6.93/1.67 % (834369)------------------------------
% 6.93/1.67 % (834369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834369)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834369)Termination reason: Instruction limit
% 6.93/1.67 % (834369)Termination phase: Finite model building SAT solving
% 6.93/1.67 % (834369)Time elapsed: 0.558 s
% 6.93/1.67 % (834369)Peak memory usage: 29 MB
% 6.93/1.67 % (834369)Instructions burned: 714 (million)
% 6.93/1.67 % (834381)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2232381750:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 6.93/1.67 % (834377)Instruction limit reached!
% 6.93/1.67 % (834377)------------------------------
% 6.93/1.67 % (834377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834377)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834377)Termination reason: Instruction limit
% 6.93/1.67 % (834377)Termination phase: Saturation
% 6.93/1.67 % (834377)Time elapsed: 0.435 s
% 6.93/1.67 % (834377)Peak memory usage: 15 MB
% 6.93/1.67 % (834377)Instructions burned: 477 (million)
% 6.93/1.67 % (834371)Instruction limit reached!
% 6.93/1.67 % (834371)------------------------------
% 6.93/1.67 % (834371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834371)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834371)Termination reason: Instruction limit
% 6.93/1.67 % (834371)Termination phase: Saturation
% 6.93/1.67 % (834371)Time elapsed: 0.617 s
% 6.93/1.67 % (834371)Peak memory usage: 17 MB
% 6.93/1.67 % (834371)Instructions burned: 684 (million)
% 6.93/1.67 % (834383)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2031501955:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 6.93/1.67 % (834384)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=2338566879: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)
% 6.93/1.67 % TRYING [14]
% 6.93/1.67 % TRYING [7]
% 6.93/1.67 % (834379)Instruction limit reached!
% 6.93/1.67 % (834379)------------------------------
% 6.93/1.67 % (834379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834379)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834379)Termination reason: Instruction limit
% 6.93/1.67 % (834379)Termination phase: Finite model building constraint generation
% 6.93/1.67 % (834379)Time elapsed: 0.587 s
% 6.93/1.67 % (834379)Peak memory usage: 18 MB
% 6.93/1.67 % (834379)Instructions burned: 866 (million)
% 6.93/1.67 % (834387)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4273262915:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 6.93/1.67 % TRYING [9]
% 6.93/1.67 % (834381) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-834350-834381"...
% 6.93/1.67 % (834381)...printing done.
% 6.93/1.67 % (834381)Refutation found. Thanks to Tanya!
% 6.93/1.67 % SZS status Unsatisfiable for theBenchmark
% 6.93/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 6.93/1.67 % (834381)------------------------------
% 6.93/1.67 % (834381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.67 % (834381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.67 % (834381)CaDiCaL version: 2.1.3
% 6.93/1.67 % (834381)Termination reason: Refutation
% 6.93/1.67 % (834381)Time elapsed: 0.390 s
% 6.93/1.67 % (834381)Peak memory usage: 16 MB
% 6.93/1.67 % (834381)Instructions burned: 457 (million)
% 6.93/1.67 % (834350)Success in time 1.164 s
% 6.93/1.67 % Vampire exiting
%------------------------------------------------------------------------------