%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE088+1 : 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 : n001.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 11:40:51 AM UTC 2026
% Result : Theorem 5.71s 1.33s
% Output : Refutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of formulae : 124 ( 120 unt; 5 def)
% Number of atoms : 128 ( 127 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 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 : 124 ( 122 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(f21,conjecture,
! [X0,X1] :
( multiplication(domain(X0),X1) = zero
=> addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] :
( multiplication(domain(X0),X1) = zero
=> addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
? [X0,X1] :
( antidomain(X1) != addition(domain(X0),antidomain(X1))
& multiplication(domain(X0),X1) = zero ),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
( antidomain(sK1) != addition(domain(sK0),antidomain(sK1))
& zero = multiplication(domain(sK0),sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f23]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f31,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f36,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f40,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
zero = multiplication(domain(sK0),sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
antidomain(sK1) != addition(domain(sK0),antidomain(sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
antidomain(sK1) != addition(antidomain(antidomain(sK0)),antidomain(sK1)),
inference(definition_unfolding,[],[f45,f39]) ).
fof(f47,plain,
zero = multiplication(antidomain(antidomain(sK0)),sK1),
inference(definition_unfolding,[],[f44,f39]) ).
fof(f48,definition,
sF2 = antidomain(sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f49,plain,
antidomain(sK1) = sF2,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF3 = antidomain(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f51,plain,
antidomain(sK0) = sF3,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF4 = antidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f53,plain,
antidomain(sF3) = sF4,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF5 = addition(sF4,sF2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f55,plain,
addition(sF4,sF2) = sF5,
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
sF2 != sF5,
inference(definition_folding,[],[f46,f55,f49,f53,f51,f49]) ).
fof(f57,definition,
sF6 = multiplication(sF4,sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f58,plain,
multiplication(sF4,sK1) = sF6,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
zero = sF6,
inference(definition_folding,[],[f47,f58,f53,f51]) ).
fof(f60,plain,
zero = multiplication(sF4,sK1),
inference(forward_demodulation,[],[f58,f59]) ).
fof(f65,plain,
zero = antidomain(one),
inference(superposition,[],[f30,f36]) ).
fof(f68,plain,
zero = coantidomain(one),
inference(superposition,[],[f31,f40]) ).
fof(f71,plain,
! [X0] : addition(X0,coantidomain(one)) = X0,
inference(superposition,[],[f27,f68]) ).
fof(f75,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f27,f25]) ).
fof(f76,plain,
! [X0] : addition(coantidomain(one),X0) = X0,
inference(forward_demodulation,[],[f75,f68]) ).
fof(f80,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f38,f65]) ).
fof(f81,plain,
one = addition(antidomain(sF3),sF3),
inference(superposition,[],[f38,f51]) ).
fof(f87,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f25,f38]) ).
fof(f90,plain,
one = addition(sF3,antidomain(sF3)),
inference(forward_demodulation,[],[f81,f25]) ).
fof(f91,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f80,f27]) ).
fof(f92,plain,
one = addition(sF3,sF4),
inference(forward_demodulation,[],[f90,f53]) ).
fof(f93,plain,
one = antidomain(coantidomain(one)),
inference(forward_demodulation,[],[f91,f68]) ).
fof(f99,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f26,f28]) ).
fof(f113,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f25,f26]) ).
fof(f127,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF4,multiplication(sK1,X0)),
inference(superposition,[],[f29,f60]) ).
fof(f140,plain,
! [X0] : zero = multiplication(sF4,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f127,f35]) ).
fof(f149,plain,
! [X0] : coantidomain(one) = multiplication(sF4,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f140,f68]) ).
fof(f168,plain,
! [X0,X1] : multiplication(X0,one) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(X1))),
inference(superposition,[],[f32,f38]) ).
fof(f171,plain,
! [X0] : addition(multiplication(X0,sF4),multiplication(X0,sF2)) = multiplication(X0,sF5),
inference(superposition,[],[f32,f55]) ).
fof(f194,plain,
! [X0,X1] : multiplication(X0,one) = addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f168,f25]) ).
fof(f204,plain,
! [X0,X1] : addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))) = X0,
inference(forward_demodulation,[],[f194,f30]) ).
fof(f222,plain,
! [X0,X1] : multiplication(one,X1) = addition(multiplication(antidomain(antidomain(X0)),X1),multiplication(antidomain(X0),X1)),
inference(superposition,[],[f33,f38]) ).
fof(f224,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sF3,X0),multiplication(sF4,X0)),
inference(superposition,[],[f33,f92]) ).
fof(f244,plain,
! [X0] : addition(multiplication(sF3,X0),multiplication(sF4,X0)) = X0,
inference(forward_demodulation,[],[f224,f31]) ).
fof(f246,plain,
! [X0,X1] : multiplication(one,X1) = addition(multiplication(antidomain(X0),X1),multiplication(antidomain(antidomain(X0)),X1)),
inference(forward_demodulation,[],[f222,f25]) ).
fof(f255,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),X1),multiplication(antidomain(antidomain(X0)),X1)) = X1,
inference(forward_demodulation,[],[f246,f31]) ).
fof(f279,plain,
! [X0] : antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0))))),
inference(superposition,[],[f37,f36]) ).
fof(f296,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2) = addition(multiplication(antidomain(multiplication(X0,X1)),X2),multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2)),
inference(superposition,[],[f33,f37]) ).
fof(f297,plain,
! [X2,X0,X1] : multiplication(X2,antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(multiplication(X2,antidomain(multiplication(X0,X1))),multiplication(X2,antidomain(multiplication(X0,antidomain(antidomain(X1)))))),
inference(superposition,[],[f32,f37]) ).
fof(f313,plain,
! [X0] : antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))) = addition(antidomain(coantidomain(one)),antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f279,f68]) ).
fof(f334,plain,
! [X0] : antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))) = addition(one,antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f313,f93]) ).
fof(f544,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f99,f87]) ).
fof(f570,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f544,f25]) ).
fof(f2054,plain,
! [X0,X1] : addition(multiplication(X0,antidomain(X1)),X0) = X0,
inference(superposition,[],[f99,f204]) ).
fof(f2062,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = X0,
inference(forward_demodulation,[],[f2054,f25]) ).
fof(f2259,plain,
! [X0] : antidomain(X0) = addition(multiplication(antidomain(X0),antidomain(X0)),zero),
inference(superposition,[],[f255,f36]) ).
fof(f2271,plain,
! [X0,X1] : addition(multiplication(antidomain(X1),X0),X0) = X0,
inference(superposition,[],[f99,f255]) ).
fof(f2279,plain,
! [X0,X1] : addition(X0,multiplication(antidomain(X1),X0)) = X0,
inference(forward_demodulation,[],[f2271,f25]) ).
fof(f2289,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f2259,f27]) ).
fof(f4123,plain,
antidomain(multiplication(sF3,antidomain(sF3))) = addition(one,antidomain(multiplication(sF3,antidomain(sF3)))),
inference(superposition,[],[f334,f51]) ).
fof(f4154,plain,
one = antidomain(multiplication(sF3,antidomain(sF3))),
inference(forward_demodulation,[],[f4123,f570]) ).
fof(f4176,plain,
one = antidomain(multiplication(sF3,sF4)),
inference(forward_demodulation,[],[f4154,f53]) ).
fof(f5495,plain,
! [X0,X1] : multiplication(antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0))))),X1) = addition(multiplication(antidomain(coantidomain(one)),X1),multiplication(antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0))))),X1)),
inference(superposition,[],[f296,f149]) ).
fof(f5640,plain,
! [X0,X1] : multiplication(antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0))))),X1) = addition(multiplication(one,X1),multiplication(antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0))))),X1)),
inference(forward_demodulation,[],[f5495,f93]) ).
fof(f5710,plain,
! [X0,X1] : multiplication(antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0))))),X1) = addition(X1,multiplication(antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0))))),X1)),
inference(forward_demodulation,[],[f5640,f31]) ).
fof(f5760,plain,
! [X0,X1] : multiplication(antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0))))),X1) = X1,
inference(forward_demodulation,[],[f5710,f2279]) ).
fof(f5904,plain,
! [X0,X1] : multiplication(X0,antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X1)))))) = addition(multiplication(X0,antidomain(coantidomain(one))),multiplication(X0,antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X1))))))),
inference(superposition,[],[f297,f149]) ).
fof(f6040,plain,
! [X0,X1] : multiplication(X0,antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X1)))))) = addition(multiplication(X0,one),multiplication(X0,antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X1))))))),
inference(forward_demodulation,[],[f5904,f93]) ).
fof(f6108,plain,
! [X0,X1] : multiplication(X0,antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X1)))))) = addition(X0,multiplication(X0,antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X1))))))),
inference(forward_demodulation,[],[f6040,f30]) ).
fof(f6157,plain,
! [X0,X1] : multiplication(X0,antidomain(multiplication(sF4,antidomain(antidomain(multiplication(sK1,X1)))))) = X0,
inference(forward_demodulation,[],[f6108,f2062]) ).
fof(f11794,plain,
! [X0] : zero = multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0)))),
inference(superposition,[],[f36,f5760]) ).
fof(f11938,plain,
! [X0] : coantidomain(one) = multiplication(sF4,antidomain(antidomain(multiplication(sK1,X0)))),
inference(forward_demodulation,[],[f11794,f68]) ).
fof(f12495,plain,
! [X0] : sF4 = addition(multiplication(sF4,antidomain(multiplication(sK1,X0))),coantidomain(one)),
inference(superposition,[],[f204,f11938]) ).
fof(f12560,plain,
! [X0] : sF4 = multiplication(sF4,antidomain(multiplication(sK1,X0))),
inference(forward_demodulation,[],[f12495,f71]) ).
fof(f12854,plain,
sF4 = multiplication(sF4,antidomain(sK1)),
inference(superposition,[],[f12560,f6157]) ).
fof(f12904,plain,
sF4 = multiplication(sF4,sF2),
inference(forward_demodulation,[],[f12854,f49]) ).
fof(f17146,plain,
zero = multiplication(one,multiplication(sF3,sF4)),
inference(superposition,[],[f36,f4176]) ).
fof(f17178,plain,
zero = multiplication(sF3,sF4),
inference(forward_demodulation,[],[f17146,f31]) ).
fof(f17196,plain,
coantidomain(one) = multiplication(sF3,sF4),
inference(forward_demodulation,[],[f17178,f68]) ).
fof(f21849,plain,
sF4 = multiplication(sF4,sF4),
inference(superposition,[],[f2289,f53]) ).
fof(f22832,plain,
sF2 = addition(multiplication(sF3,sF2),sF4),
inference(superposition,[],[f244,f12904]) ).
fof(f22845,plain,
sF5 = addition(multiplication(sF3,sF5),addition(multiplication(sF4,sF4),multiplication(sF4,sF2))),
inference(superposition,[],[f244,f171]) ).
fof(f22883,plain,
sF5 = addition(multiplication(sF3,sF5),addition(multiplication(sF4,sF4),sF4)),
inference(forward_demodulation,[],[f22845,f12904]) ).
fof(f22896,plain,
sF2 = addition(sF4,multiplication(sF3,sF2)),
inference(forward_demodulation,[],[f22832,f25]) ).
fof(f22934,plain,
sF5 = addition(sF4,addition(multiplication(sF3,sF5),multiplication(sF4,sF4))),
inference(forward_demodulation,[],[f22883,f113]) ).
fof(f22955,plain,
sF5 = addition(sF4,addition(multiplication(sF3,sF5),sF4)),
inference(forward_demodulation,[],[f22934,f21849]) ).
fof(f22968,plain,
sF5 = addition(sF4,addition(sF4,multiplication(sF3,sF5))),
inference(forward_demodulation,[],[f22955,f113]) ).
fof(f22973,plain,
sF5 = addition(sF4,multiplication(sF3,sF5)),
inference(forward_demodulation,[],[f22968,f99]) ).
fof(f22975,plain,
sF5 = addition(sF4,addition(multiplication(sF3,sF4),multiplication(sF3,sF2))),
inference(forward_demodulation,[],[f22973,f171]) ).
fof(f22977,plain,
sF5 = addition(sF4,addition(coantidomain(one),multiplication(sF3,sF2))),
inference(forward_demodulation,[],[f22975,f17196]) ).
fof(f22979,plain,
sF5 = addition(sF4,multiplication(sF3,sF2)),
inference(forward_demodulation,[],[f22977,f76]) ).
fof(f22980,plain,
sF2 = sF5,
inference(forward_demodulation,[],[f22979,f22896]) ).
fof(f22981,plain,
$false,
inference(forward_subsumption_resolution,[],[f22980,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE088+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 13:15:32 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.47 Running first-order model finding
% 0.15/0.47 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
% 5.71/1.33 % (3560331)Will run a generic schedule for satisfiability detection.
% 5.71/1.33 % (3560342)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2326589177:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.71/1.33 % (3560337)% WARNING: option uhcvi not known.
% 5.71/1.33 % (3560337)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3007247716:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.71/1.33 % (3560339)dis+10_1_sil=32000:sp=arity:random_seed=2850642883:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.71/1.33 % (3560336)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3609537873_2999 on theBenchmark for (2999ds/0Mi)
% 5.71/1.33 % (3560338)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=982013774:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.71/1.33 % (3560340)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=350136151:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.71/1.33 % (3560341)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=645765430:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.71/1.33 % TRYING [1]
% 5.71/1.33 % TRYING [2]
% 5.71/1.33 % TRYING [3]
% 5.71/1.33 % TRYING [4]
% 5.71/1.33 % TRYING [5]
% 5.71/1.33 % (3560342)Instruction limit reached!
% 5.71/1.33 % (3560342)------------------------------
% 5.71/1.33 % (3560342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560342)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560342)Termination reason: Instruction limit
% 5.71/1.33 % (3560342)Termination phase: Saturation
% 5.71/1.33 % (3560342)Time elapsed: 0.083 s
% 5.71/1.33 % (3560342)Peak memory usage: 12 MB
% 5.71/1.33 % (3560342)Instructions burned: 161 (million)
% 5.71/1.33 % (3560339)Instruction limit reached!
% 5.71/1.33 % (3560339)------------------------------
% 5.71/1.33 % (3560339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560339)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560339)Termination reason: Instruction limit
% 5.71/1.33 % (3560339)Termination phase: Saturation
% 5.71/1.33 % (3560339)Time elapsed: 0.097 s
% 5.71/1.33 % (3560339)Peak memory usage: 12 MB
% 5.71/1.33 % (3560339)Instructions burned: 103 (million)
% 5.71/1.33 % (3560351)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1465984546:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.71/1.33 % TRYING [1]
% 5.71/1.33 % TRYING [2]
% 5.71/1.33 % TRYING [3]
% 5.71/1.33 % TRYING [4]
% 5.71/1.33 % (3560340)Instruction limit reached!
% 5.71/1.33 % (3560340)------------------------------
% 5.71/1.33 % (3560340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560340)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560340)Termination reason: Instruction limit
% 5.71/1.33 % (3560340)Termination phase: Saturation
% 5.71/1.33 % (3560340)Time elapsed: 0.115 s
% 5.71/1.33 % (3560340)Peak memory usage: 13 MB
% 5.71/1.33 % (3560340)Instructions burned: 116 (million)
% 5.71/1.33 % (3560352)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4107890133:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.71/1.33 % (3560341)Instruction limit reached!
% 5.71/1.33 % (3560341)------------------------------
% 5.71/1.33 % (3560341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560341)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560341)Termination reason: Instruction limit
% 5.71/1.33 % (3560341)Termination phase: Saturation
% 5.71/1.33 % (3560341)Time elapsed: 0.124 s
% 5.71/1.33 % (3560341)Peak memory usage: 13 MB
% 5.71/1.33 % (3560341)Instructions burned: 131 (million)
% 5.71/1.33 % TRYING [5]
% 5.71/1.33 % (3560355)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=1827962009:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.71/1.33 % (3560357)ott-21_1_sil=16000:fs=off:random_seed=773951044:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.71/1.33 % TRYING [6]
% 5.71/1.33 % TRYING [6]
% 5.71/1.33 % (3560352)Instruction limit reached!
% 5.71/1.33 % (3560352)------------------------------
% 5.71/1.33 % (3560352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560352)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560352)Termination reason: Instruction limit
% 5.71/1.33 % (3560352)Termination phase: Saturation
% 5.71/1.33 % (3560352)Time elapsed: 0.122 s
% 5.71/1.33 % (3560352)Peak memory usage: 13 MB
% 5.71/1.33 % (3560352)Instructions burned: 131 (million)
% 5.71/1.33 % (3560360)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1694034212:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.71/1.33 % (3560357)Instruction limit reached!
% 5.71/1.33 % (3560357)------------------------------
% 5.71/1.33 % (3560357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560357)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560357)Termination reason: Instruction limit
% 5.71/1.33 % (3560357)Termination phase: Saturation
% 5.71/1.33 % (3560357)Time elapsed: 0.145 s
% 5.71/1.33 % (3560357)Peak memory usage: 12 MB
% 5.71/1.33 % (3560357)Instructions burned: 180 (million)
% 5.71/1.33 % (3560362)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2536193005:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.71/1.33 % TRYING [1]
% 5.71/1.33 % TRYING [2]
% 5.71/1.33 % TRYING [3]
% 5.71/1.33 % TRYING [4]
% 5.71/1.33 % TRYING [7]
% 5.71/1.33 % (3560351)Instruction limit reached!
% 5.71/1.33 % (3560351)------------------------------
% 5.71/1.33 % (3560351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560351)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560351)Termination reason: Instruction limit
% 5.71/1.33 % (3560351)Termination phase: Finite model building constraint generation
% 5.71/1.33 % (3560351)Time elapsed: 0.299 s
% 5.71/1.33 % (3560351)Peak memory usage: 34 MB
% 5.71/1.33 % (3560351)Instructions burned: 715 (million)
% 5.71/1.33 % (3560364)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1291019862:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.71/1.33 % TRYING [7]
% 5.71/1.33 % TRYING [5]
% 5.71/1.33 % (3560360)Instruction limit reached!
% 5.71/1.33 % (3560360)------------------------------
% 5.71/1.33 % (3560360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560360)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560360)Termination reason: Instruction limit
% 5.71/1.33 % (3560360)Termination phase: Saturation
% 5.71/1.33 % (3560360)Time elapsed: 0.372 s
% 5.71/1.33 % (3560360)Peak memory usage: 16 MB
% 5.71/1.33 % (3560360)Instructions burned: 477 (million)
% 5.71/1.33 % (3560370)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2868556235:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 5.71/1.33 % (3560355)Instruction limit reached!
% 5.71/1.33 % (3560355)------------------------------
% 5.71/1.33 % (3560355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560355)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560355)Termination reason: Instruction limit
% 5.71/1.33 % (3560355)Termination phase: Saturation
% 5.71/1.33 % (3560355)Time elapsed: 0.578 s
% 5.71/1.33 % (3560355)Peak memory usage: 19 MB
% 5.71/1.33 % (3560355)Instructions burned: 686 (million)
% 5.71/1.33 % TRYING [6]
% 5.71/1.33 % (3560373)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=1419157938:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 5.71/1.33 % (3560364) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3560331-3560364"...
% 5.71/1.33 % (3560364)...printing done.
% 5.71/1.33 % (3560364)Refutation found. Thanks to Tanya!
% 5.71/1.33 % SZS status Theorem for theBenchmark
% 5.71/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 5.71/1.33 % (3560364)------------------------------
% 5.71/1.33 % (3560364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.71/1.33 % (3560364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.33 % (3560364)CaDiCaL version: 2.1.3
% 5.71/1.33 % (3560364)Termination reason: Refutation
% 5.71/1.33 % (3560364)Time elapsed: 0.379 s
% 5.71/1.33 % (3560364)Peak memory usage: 21 MB
% 5.71/1.33 % (3560364)Instructions burned: 876 (million)
% 5.71/1.33 % (3560331)Success in time 0.85 s
% 5.71/1.33 % Vampire exiting
%------------------------------------------------------------------------------