%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE118+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 11:40:54 AM UTC 2026
% Result : Theorem 72.58s 10.78s
% Output : Refutation 72.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 37
% Syntax : Number of formulae : 203 ( 199 unt; 21 def)
% Number of atoms : 207 ( 206 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 26 con; 0-2 aty)
% Number of variables : 124 ( 121 !; 3 ?)
% 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(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(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(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
fof(f25,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_box) ).
fof(f27,conjecture,
! [X0,X1] :
( addition(X0,X1) = X1
=> ! [X2] : addition(forward_box(X0,domain(X2)),forward_box(X1,domain(X2))) = forward_box(X0,domain(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1] :
( addition(X0,X1) = X1
=> ! [X2] : addition(forward_box(X0,domain(X2)),forward_box(X1,domain(X2))) = forward_box(X0,domain(X2)) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1] :
( ? [X2] : forward_box(X0,domain(X2)) != addition(forward_box(X0,domain(X2)),forward_box(X1,domain(X2)))
& addition(X0,X1) = X1 ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( forward_box(sK0,domain(sK2)) != addition(forward_box(sK0,domain(sK2)),forward_box(sK1,domain(sK2)))
& sK1 = addition(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f43,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(f44,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f50,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f54,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
sK1 = addition(sK0,sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
forward_box(sK0,domain(sK2)) != addition(forward_box(sK0,domain(sK2)),forward_box(sK1,domain(sK2))),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f50,f45]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f52,f45,f45]) ).
fof(f63,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f54,f58,f62,f58]) ).
fof(f64,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))))))))) != addition(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))))))))),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))))))))),
inference(definition_unfolding,[],[f57,f63,f45,f63,f45,f63,f45]) ).
fof(f65,definition,
sF3 = antidomain(sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f66,plain,
antidomain(sK2) = sF3,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF4 = antidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f68,plain,
antidomain(sF3) = sF4,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF5 = antidomain(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f70,plain,
antidomain(sF4) = sF5,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF6 = antidomain(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f72,plain,
antidomain(sF5) = sF6,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF7 = antidomain(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f74,plain,
antidomain(sF6) = sF7,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF8 = antidomain(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f76,plain,
antidomain(sF7) = sF8,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF9 = antidomain(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f78,plain,
antidomain(sF8) = sF9,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF10 = multiplication(sK0,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f80,plain,
multiplication(sK0,sF9) = sF10,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF11 = antidomain(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f82,plain,
antidomain(sF10) = sF11,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF12 = antidomain(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f84,plain,
antidomain(sF11) = sF12,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF13 = antidomain(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f86,plain,
antidomain(sF12) = sF13,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF14 = antidomain(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f88,plain,
antidomain(sF13) = sF14,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF15 = antidomain(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f90,plain,
antidomain(sF14) = sF15,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF16 = multiplication(sK1,sF9),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f92,plain,
multiplication(sK1,sF9) = sF16,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF17 = antidomain(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f94,plain,
antidomain(sF16) = sF17,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF18 = antidomain(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f96,plain,
antidomain(sF17) = sF18,
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
sF19 = antidomain(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f98,plain,
antidomain(sF18) = sF19,
inference(reorient_equations,[],[f97]) ).
fof(f99,definition,
sF20 = antidomain(sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f100,plain,
antidomain(sF19) = sF20,
inference(reorient_equations,[],[f99]) ).
fof(f101,definition,
sF21 = antidomain(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f102,plain,
antidomain(sF20) = sF21,
inference(reorient_equations,[],[f101]) ).
fof(f103,definition,
sF22 = addition(sF15,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f104,plain,
addition(sF15,sF21) = sF22,
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
sF15 != sF22,
inference(definition_folding,[],[f64,f104,f102,f100,f98,f96,f94,f92,f78,f76,f74,f72,f70,f68,f66,f90,f88,f86,f84,f82,f80,f78,f76,f74,f72,f70,f68,f66,f90,f88,f86,f84,f82,f80,f78,f76,f74,f72,f70,f68,f66]) ).
fof(f106,definition,
sF23 = addition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f107,plain,
addition(sK0,sK1) = sF23,
inference(reorient_equations,[],[f106]) ).
fof(f108,plain,
sK1 = sF23,
inference(definition_folding,[],[f56,f107]) ).
fof(f109,plain,
sK1 = addition(sK0,sK1),
inference(forward_demodulation,[],[f107,f108]) ).
fof(f110,plain,
sK1 = addition(sK1,sK0),
inference(forward_demodulation,[],[f109,f31]) ).
fof(f122,plain,
zero = multiplication(sF15,sF14),
inference(superposition,[],[f42,f90]) ).
fof(f123,plain,
zero = multiplication(sF17,sF16),
inference(superposition,[],[f42,f94]) ).
fof(f129,plain,
zero = antidomain(one),
inference(superposition,[],[f36,f42]) ).
fof(f137,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f33,f31]) ).
fof(f138,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f44,f129]) ).
fof(f149,plain,
one = addition(antidomain(sF14),sF14),
inference(superposition,[],[f44,f88]) ).
fof(f150,plain,
one = addition(antidomain(sF15),sF15),
inference(superposition,[],[f44,f90]) ).
fof(f151,plain,
one = addition(antidomain(sF17),sF17),
inference(superposition,[],[f44,f94]) ).
fof(f153,plain,
one = addition(antidomain(sF19),sF19),
inference(superposition,[],[f44,f98]) ).
fof(f155,plain,
one = addition(antidomain(sF21),sF21),
inference(superposition,[],[f44,f102]) ).
fof(f159,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f31,f44]) ).
fof(f160,plain,
one = addition(sF21,antidomain(sF21)),
inference(forward_demodulation,[],[f155,f31]) ).
fof(f162,plain,
one = addition(sF19,antidomain(sF19)),
inference(forward_demodulation,[],[f153,f31]) ).
fof(f164,plain,
one = addition(sF17,antidomain(sF17)),
inference(forward_demodulation,[],[f151,f31]) ).
fof(f165,plain,
one = addition(sF15,antidomain(sF15)),
inference(forward_demodulation,[],[f150,f31]) ).
fof(f166,plain,
one = addition(sF14,antidomain(sF14)),
inference(forward_demodulation,[],[f149,f31]) ).
fof(f177,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f138,f33]) ).
fof(f179,plain,
one = addition(sF19,sF20),
inference(forward_demodulation,[],[f162,f100]) ).
fof(f181,plain,
one = addition(sF17,sF18),
inference(forward_demodulation,[],[f164,f96]) ).
fof(f182,plain,
one = addition(sF14,sF15),
inference(forward_demodulation,[],[f166,f90]) ).
fof(f192,plain,
one = addition(sF15,sF14),
inference(forward_demodulation,[],[f182,f31]) ).
fof(f209,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f215,plain,
! [X0] : addition(sK1,addition(sK0,X0)) = addition(sK1,X0),
inference(superposition,[],[f32,f110]) ).
fof(f216,plain,
! [X0] : addition(sF15,addition(sF21,X0)) = addition(sF22,X0),
inference(superposition,[],[f32,f104]) ).
fof(f224,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f31,f32]) ).
fof(f231,plain,
! [X0] : addition(sK1,X0) = addition(sK1,addition(X0,sK0)),
inference(superposition,[],[f215,f31]) ).
fof(f263,plain,
! [X0,X1] : addition(sK1,addition(X0,X1)) = addition(sK1,addition(X0,addition(X1,sK0))),
inference(superposition,[],[f231,f32]) ).
fof(f283,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f38,f42]) ).
fof(f293,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(superposition,[],[f31,f38]) ).
fof(f297,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f283,f33]) ).
fof(f322,plain,
! [X0,X1] : addition(sK1,addition(addition(X0,sK0),X1)) = addition(sK1,addition(X1,X0)),
inference(superposition,[],[f263,f31]) ).
fof(f331,plain,
! [X0,X1] : addition(sK1,addition(X0,addition(sK0,X1))) = addition(sK1,addition(X1,X0)),
inference(forward_demodulation,[],[f322,f32]) ).
fof(f344,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f39,f37]) ).
fof(f345,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f39,f42]) ).
fof(f346,plain,
! [X0] : multiplication(addition(sK0,X0),sF9) = addition(sF10,multiplication(X0,sF9)),
inference(superposition,[],[f39,f80]) ).
fof(f355,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,antidomain(X1)),X1),
inference(superposition,[],[f39,f42]) ).
fof(f373,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f355,f33]) ).
fof(f380,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f345,f137]) ).
fof(f416,plain,
! [X0] : antidomain(multiplication(one,antidomain(antidomain(X0)))) = addition(antidomain(X0),antidomain(multiplication(one,antidomain(antidomain(X0))))),
inference(superposition,[],[f43,f37]) ).
fof(f469,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f416,f37]) ).
fof(f588,plain,
! [X0] : addition(sK1,addition(X0,sK0)) = addition(sK1,addition(zero,X0)),
inference(superposition,[],[f331,f33]) ).
fof(f591,plain,
! [X0,X1] : addition(sK1,addition(X0,X1)) = addition(sK1,addition(X1,addition(X0,sK0))),
inference(superposition,[],[f331,f31]) ).
fof(f628,plain,
! [X0] : addition(sK1,addition(X0,sK0)) = addition(zero,addition(X0,sK1)),
inference(forward_demodulation,[],[f588,f224]) ).
fof(f633,plain,
! [X0] : addition(sK1,addition(X0,sK0)) = addition(X0,sK1),
inference(forward_demodulation,[],[f628,f137]) ).
fof(f656,plain,
! [X0,X1] : addition(sK1,addition(X0,addition(X1,sK0))) = addition(addition(X0,X1),sK1),
inference(superposition,[],[f633,f32]) ).
fof(f669,plain,
! [X0,X1] : addition(sK1,addition(X0,addition(X1,sK0))) = addition(X0,addition(X1,sK1)),
inference(forward_demodulation,[],[f656,f32]) ).
fof(f1055,plain,
! [X0,X1] : addition(sK1,addition(X1,X0)) = addition(X0,addition(X1,sK1)),
inference(superposition,[],[f591,f669]) ).
fof(f1580,plain,
! [X0] : multiplication(addition(sF15,X0),sF14) = addition(zero,multiplication(X0,sF14)),
inference(superposition,[],[f39,f122]) ).
fof(f1585,plain,
! [X0] : multiplication(X0,sF14) = multiplication(addition(sF15,X0),sF14),
inference(forward_demodulation,[],[f1580,f137]) ).
fof(f3835,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f209,f159]) ).
fof(f3873,plain,
sF22 = addition(sF15,sF22),
inference(superposition,[],[f209,f104]) ).
fof(f3875,plain,
one = addition(sF15,one),
inference(superposition,[],[f209,f165]) ).
fof(f3878,plain,
one = addition(sF19,one),
inference(superposition,[],[f209,f179]) ).
fof(f3880,plain,
one = addition(sF21,one),
inference(superposition,[],[f209,f160]) ).
fof(f3995,plain,
one = addition(one,sF21),
inference(forward_demodulation,[],[f3880,f31]) ).
fof(f3997,plain,
one = addition(one,sF19),
inference(forward_demodulation,[],[f3878,f31]) ).
fof(f4000,plain,
one = addition(one,sF15),
inference(forward_demodulation,[],[f3875,f31]) ).
fof(f4014,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f3835,f31]) ).
fof(f4274,plain,
addition(sF15,one) = addition(sF22,antidomain(sF21)),
inference(superposition,[],[f216,f160]) ).
fof(f4328,plain,
addition(one,sF15) = addition(sF22,antidomain(sF21)),
inference(forward_demodulation,[],[f4274,f31]) ).
fof(f4351,plain,
one = addition(sF22,antidomain(sF21)),
inference(forward_demodulation,[],[f4328,f4000]) ).
fof(f5392,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = multiplication(addition(X0,addition(X1,antidomain(X2))),X2),
inference(superposition,[],[f373,f32]) ).
fof(f5609,plain,
! [X0,X1] : multiplication(addition(X0,sK1),X1) = multiplication(addition(sK1,addition(X0,antidomain(X1))),X1),
inference(superposition,[],[f380,f1055]) ).
fof(f5638,plain,
! [X0,X1] : multiplication(addition(X0,sK1),X1) = multiplication(addition(sK1,X0),X1),
inference(forward_demodulation,[],[f5609,f5392]) ).
fof(f8401,plain,
multiplication(antidomain(sF18),sF17) = multiplication(antidomain(sF18),one),
inference(superposition,[],[f297,f181]) ).
fof(f8403,plain,
multiplication(antidomain(sF20),sF19) = multiplication(antidomain(sF20),one),
inference(superposition,[],[f297,f179]) ).
fof(f8431,plain,
antidomain(sF20) = multiplication(antidomain(sF20),sF19),
inference(forward_demodulation,[],[f8403,f36]) ).
fof(f8433,plain,
antidomain(sF18) = multiplication(antidomain(sF18),sF17),
inference(forward_demodulation,[],[f8401,f36]) ).
fof(f8471,plain,
sF21 = multiplication(sF21,sF19),
inference(forward_demodulation,[],[f8431,f102]) ).
fof(f8473,plain,
sF19 = multiplication(sF19,sF17),
inference(forward_demodulation,[],[f8433,f98]) ).
fof(f9355,plain,
multiplication(addition(sK0,sK1),sF9) = addition(sF10,sF16),
inference(superposition,[],[f346,f92]) ).
fof(f9390,plain,
addition(sF10,sF16) = multiplication(addition(sK1,sK0),sF9),
inference(forward_demodulation,[],[f9355,f5638]) ).
fof(f9406,plain,
multiplication(sK1,sF9) = addition(sF10,sF16),
inference(forward_demodulation,[],[f9390,f110]) ).
fof(f9418,plain,
sF16 = addition(sF10,sF16),
inference(forward_demodulation,[],[f9406,f92]) ).
fof(f9427,plain,
multiplication(antidomain(sF16),sF16) = multiplication(antidomain(sF16),sF10),
inference(superposition,[],[f297,f9418]) ).
fof(f9431,plain,
multiplication(sF17,sF16) = multiplication(sF17,sF10),
inference(forward_demodulation,[],[f9427,f94]) ).
fof(f9436,plain,
zero = multiplication(sF17,sF10),
inference(forward_demodulation,[],[f9431,f123]) ).
fof(f9519,plain,
antidomain(multiplication(sF17,antidomain(antidomain(sF10)))) = addition(antidomain(zero),antidomain(multiplication(sF17,antidomain(antidomain(sF10))))),
inference(superposition,[],[f43,f9436]) ).
fof(f9531,plain,
antidomain(multiplication(sF17,antidomain(sF11))) = addition(antidomain(zero),antidomain(multiplication(sF17,antidomain(sF11)))),
inference(forward_demodulation,[],[f9519,f82]) ).
fof(f9541,plain,
antidomain(multiplication(sF17,sF12)) = addition(antidomain(zero),antidomain(multiplication(sF17,sF12))),
inference(forward_demodulation,[],[f9531,f84]) ).
fof(f9542,plain,
antidomain(multiplication(sF17,sF12)) = addition(one,antidomain(multiplication(sF17,sF12))),
inference(forward_demodulation,[],[f9541,f177]) ).
fof(f9543,plain,
one = antidomain(multiplication(sF17,sF12)),
inference(forward_demodulation,[],[f9542,f4014]) ).
fof(f9632,plain,
antidomain(multiplication(sF17,antidomain(antidomain(sF12)))) = addition(one,antidomain(multiplication(sF17,antidomain(antidomain(sF12))))),
inference(superposition,[],[f43,f9543]) ).
fof(f9650,plain,
one = antidomain(multiplication(sF17,antidomain(antidomain(sF12)))),
inference(forward_demodulation,[],[f9632,f4014]) ).
fof(f9655,plain,
one = antidomain(multiplication(sF17,antidomain(sF13))),
inference(forward_demodulation,[],[f9650,f86]) ).
fof(f9659,plain,
one = antidomain(multiplication(sF17,sF14)),
inference(forward_demodulation,[],[f9655,f88]) ).
fof(f10065,plain,
zero = multiplication(one,multiplication(sF17,sF14)),
inference(superposition,[],[f42,f9659]) ).
fof(f10081,plain,
zero = multiplication(sF17,sF14),
inference(forward_demodulation,[],[f10065,f37]) ).
fof(f11146,plain,
antidomain(antidomain(sF17)) = addition(sF17,antidomain(antidomain(sF17))),
inference(superposition,[],[f469,f94]) ).
fof(f11148,plain,
antidomain(antidomain(sF19)) = addition(sF19,antidomain(antidomain(sF19))),
inference(superposition,[],[f469,f98]) ).
fof(f11175,plain,
antidomain(sF20) = addition(sF19,antidomain(sF20)),
inference(forward_demodulation,[],[f11148,f100]) ).
fof(f11177,plain,
antidomain(sF18) = addition(sF17,antidomain(sF18)),
inference(forward_demodulation,[],[f11146,f96]) ).
fof(f11200,plain,
sF21 = addition(sF19,sF21),
inference(forward_demodulation,[],[f11175,f102]) ).
fof(f11202,plain,
sF19 = addition(sF17,sF19),
inference(forward_demodulation,[],[f11177,f98]) ).
fof(f24459,plain,
addition(sF19,sF21) = multiplication(addition(one,sF21),sF19),
inference(superposition,[],[f344,f8471]) ).
fof(f24477,plain,
multiplication(one,sF19) = addition(sF19,sF21),
inference(forward_demodulation,[],[f24459,f3995]) ).
fof(f24493,plain,
sF21 = multiplication(one,sF19),
inference(forward_demodulation,[],[f24477,f11200]) ).
fof(f24503,plain,
sF19 = sF21,
inference(forward_demodulation,[],[f24493,f37]) ).
fof(f24676,plain,
addition(sF17,sF19) = multiplication(addition(one,sF19),sF17),
inference(superposition,[],[f344,f8473]) ).
fof(f24694,plain,
multiplication(one,sF17) = addition(sF17,sF19),
inference(forward_demodulation,[],[f24676,f3997]) ).
fof(f24709,plain,
sF19 = multiplication(one,sF17),
inference(forward_demodulation,[],[f24694,f11202]) ).
fof(f24719,plain,
sF17 = sF19,
inference(forward_demodulation,[],[f24709,f37]) ).
fof(f31021,plain,
one = addition(sF22,one),
inference(superposition,[],[f209,f4351]) ).
fof(f31042,plain,
one = addition(one,sF22),
inference(forward_demodulation,[],[f31021,f31]) ).
fof(f64128,plain,
multiplication(sF22,sF14) = multiplication(sF21,sF14),
inference(superposition,[],[f1585,f104]) ).
fof(f64226,plain,
multiplication(sF19,sF14) = multiplication(sF22,sF14),
inference(forward_demodulation,[],[f64128,f24503]) ).
fof(f64253,plain,
multiplication(sF17,sF14) = multiplication(sF22,sF14),
inference(forward_demodulation,[],[f64226,f24719]) ).
fof(f64259,plain,
zero = multiplication(sF22,sF14),
inference(forward_demodulation,[],[f64253,f10081]) ).
fof(f64281,plain,
! [X0] : addition(zero,multiplication(sF22,X0)) = multiplication(sF22,addition(X0,sF14)),
inference(superposition,[],[f293,f64259]) ).
fof(f64314,plain,
! [X0] : multiplication(sF22,X0) = multiplication(sF22,addition(X0,sF14)),
inference(forward_demodulation,[],[f64281,f137]) ).
fof(f67508,plain,
multiplication(sF22,one) = multiplication(sF22,sF15),
inference(superposition,[],[f64314,f192]) ).
fof(f67561,plain,
sF22 = multiplication(sF22,sF15),
inference(forward_demodulation,[],[f67508,f36]) ).
fof(f67787,plain,
addition(sF15,sF22) = multiplication(addition(one,sF22),sF15),
inference(superposition,[],[f344,f67561]) ).
fof(f67805,plain,
addition(sF15,sF22) = multiplication(one,sF15),
inference(forward_demodulation,[],[f67787,f31042]) ).
fof(f67821,plain,
sF15 = addition(sF15,sF22),
inference(forward_demodulation,[],[f67805,f37]) ).
fof(f68196,plain,
sF15 = sF22,
inference(superposition,[],[f3873,f67821]) ).
fof(f68220,plain,
$false,
inference(forward_subsumption_resolution,[],[f68196,f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KLE118+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.44 % Computer : n001.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 13:16:45 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.49 Running first-order model finding
% 0.23/0.49 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
% 22.93/3.94 % (3562660)Will run a generic schedule for satisfiability detection.
% 22.93/3.94 % (3562666)% WARNING: option uhcvi not known.
% 22.93/3.94 % (3562668)dis+10_1_sil=32000:sp=arity:random_seed=4234125241:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 22.93/3.94 % (3562666)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2517991022:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 22.93/3.94 % (3562665)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1032085461_2999 on theBenchmark for (2999ds/0Mi)
% 22.93/3.94 % (3562667)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=578709805:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 22.93/3.94 % (3562669)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=17285223:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 22.93/3.94 % (3562670)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4152622789:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 22.93/3.94 % (3562671)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3001210055:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 22.93/3.94 % TRYING [1]
% 22.93/3.94 % TRYING [2]
% 22.93/3.94 % TRYING [3]
% 22.93/3.94 % TRYING [4]
% 22.93/3.94 % (3562668)Instruction limit reached!
% 22.93/3.94 % (3562668)------------------------------
% 22.93/3.94 % (3562668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.93/3.94 % (3562668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.93/3.94 % (3562668)CaDiCaL version: 2.1.3
% 22.93/3.94 % (3562668)Termination reason: Instruction limit
% 22.93/3.94 % (3562668)Termination phase: Saturation
% 22.93/3.94 % (3562668)Time elapsed: 0.053 s
% 22.93/3.94 % (3562668)Peak memory usage: 12 MB
% 22.93/3.94 % (3562668)Instructions burned: 104 (million)
% 22.93/3.94 % (3562679)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4215384329:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 22.93/3.94 % TRYING [5]
% 22.93/3.94 % TRYING [1]
% 22.93/3.94 % TRYING [2]
% 22.93/3.94 % TRYING [3]
% 22.93/3.94 % TRYING [4]
% 22.93/3.94 % (3562669)Instruction limit reached!
% 22.93/3.94 % (3562669)------------------------------
% 22.93/3.94 % (3562669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.93/3.94 % (3562669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.93/3.94 % (3562669)CaDiCaL version: 2.1.3
% 22.93/3.94 % (3562669)Termination reason: Instruction limit
% 22.93/3.94 % (3562669)Termination phase: Saturation
% 22.93/3.94 % (3562669)Time elapsed: 0.103 s
% 22.93/3.94 % (3562669)Peak memory usage: 13 MB
% 22.93/3.94 % (3562669)Instructions burned: 116 (million)
% 22.93/3.94 % TRYING [5]
% 22.93/3.94 % (3562670)Instruction limit reached!
% 22.93/3.94 % (3562670)------------------------------
% 22.93/3.94 % (3562670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.93/3.94 % (3562670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.93/3.94 % (3562670)CaDiCaL version: 2.1.3
% 22.93/3.94 % (3562670)Termination reason: Instruction limit
% 22.93/3.94 % (3562670)Termination phase: Saturation
% 22.93/3.94 % (3562670)Time elapsed: 0.123 s
% 22.93/3.94 % (3562670)Peak memory usage: 13 MB
% 22.93/3.94 % (3562670)Instructions burned: 132 (million)
% 22.93/3.94 % (3562681)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=139634214:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 22.93/3.94 % (3562682)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=3300527444:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 22.93/3.94 % (3562671)Instruction limit reached!
% 22.93/3.94 % (3562671)------------------------------
% 22.93/3.94 % (3562671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.93/3.94 % (3562671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.93/3.94 % (3562671)CaDiCaL version: 2.1.3
% 22.93/3.94 % (3562671)Termination reason: Instruction limit
% 22.93/3.94 % (3562671)Termination phase: Saturation
% 22.93/3.94 % (3562671)Time elapsed: 0.157 s
% 22.93/3.94 % (3562671)Peak memory usage: 13 MB
% 22.93/3.94 % (3562671)Instructions burned: 159 (million)
% 22.93/3.94 % TRYING [6]
% 22.93/3.94 % TRYING [6]
% 22.93/3.94 % (3562685)ott-21_1_sil=16000:fs=off:random_seed=3006722755:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 22.93/3.94 % (3562681)Instruction limit reached!
% 22.93/3.94 % (3562681)------------------------------
% 22.93/3.94 % (3562681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562681)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562681)Termination reason: Instruction limit
% 72.58/10.78 % (3562681)Termination phase: Saturation
% 72.58/10.78 % (3562681)Time elapsed: 0.124 s
% 72.58/10.78 % (3562681)Peak memory usage: 13 MB
% 72.58/10.78 % (3562681)Instructions burned: 131 (million)
% 72.58/10.78 % (3562687)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3236021286:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 72.58/10.78 % (3562685)Instruction limit reached!
% 72.58/10.78 % (3562685)------------------------------
% 72.58/10.78 % (3562685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562685)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562685)Termination reason: Instruction limit
% 72.58/10.78 % (3562685)Termination phase: Saturation
% 72.58/10.78 % (3562685)Time elapsed: 0.148 s
% 72.58/10.78 % (3562685)Peak memory usage: 12 MB
% 72.58/10.78 % (3562685)Instructions burned: 180 (million)
% 72.58/10.78 % (3562679)Instruction limit reached!
% 72.58/10.78 % (3562679)------------------------------
% 72.58/10.78 % (3562679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562679)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562679)Termination reason: Instruction limit
% 72.58/10.78 % (3562679)Termination phase: Finite model building SAT solving
% 72.58/10.78 % (3562679)Time elapsed: 0.306 s
% 72.58/10.78 % (3562679)Peak memory usage: 36 MB
% 72.58/10.78 % (3562679)Instructions burned: 714 (million)
% 72.58/10.78 % (3562689)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1021065163:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 72.58/10.78 % TRYING [1]
% 72.58/10.78 % TRYING [2]
% 72.58/10.78 % TRYING [3]
% 72.58/10.78 % (3562690)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4173396:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 72.58/10.78 % TRYING [4]
% 72.58/10.78 % TRYING [5]
% 72.58/10.78 % TRYING [7]
% 72.58/10.78 % (3562687)Instruction limit reached!
% 72.58/10.78 % (3562687)------------------------------
% 72.58/10.78 % (3562687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562687)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562687)Termination reason: Instruction limit
% 72.58/10.78 % (3562687)Termination phase: Saturation
% 72.58/10.78 % (3562687)Time elapsed: 0.426 s
% 72.58/10.78 % (3562687)Peak memory usage: 16 MB
% 72.58/10.78 % (3562687)Instructions burned: 477 (million)
% 72.58/10.78 % (3562682)Instruction limit reached!
% 72.58/10.78 % (3562682)------------------------------
% 72.58/10.78 % (3562682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562682)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562682)Termination reason: Instruction limit
% 72.58/10.78 % (3562682)Termination phase: Saturation
% 72.58/10.78 % (3562682)Time elapsed: 0.580 s
% 72.58/10.78 % (3562682)Peak memory usage: 20 MB
% 72.58/10.78 % (3562682)Instructions burned: 685 (million)
% 72.58/10.78 % (3562693)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1136305776:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 72.58/10.78 % (3562694)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=2398088048: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)
% 72.58/10.78 % TRYING [6]
% 72.58/10.78 % TRYING [14]
% 72.58/10.78 % (3562689)Instruction limit reached!
% 72.58/10.78 % (3562689)------------------------------
% 72.58/10.78 % (3562689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562689)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562689)Termination reason: Instruction limit
% 72.58/10.78 % (3562689)Termination phase: Finite model building constraint generation
% 72.58/10.78 % (3562689)Time elapsed: 0.601 s
% 72.58/10.78 % (3562689)Peak memory usage: 27 MB
% 72.58/10.78 % (3562689)Instructions burned: 865 (million)
% 72.58/10.78 % (3562698)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2545865224:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 72.58/10.78 % (3562693)Instruction limit reached!
% 72.58/10.78 % (3562693)------------------------------
% 72.58/10.78 % (3562693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562693)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562693)Termination reason: Instruction limit
% 72.58/10.78 % (3562693)Termination phase: Finite model building constraint generation
% 72.58/10.78 % (3562693)Time elapsed: 0.358 s
% 72.58/10.78 % (3562693)Peak memory usage: 81 MB
% 72.58/10.78 % (3562693)Instructions burned: 891 (million)
% 72.58/10.78 % (3562690)Instruction limit reached!
% 72.58/10.78 % (3562690)------------------------------
% 72.58/10.78 % (3562690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562690)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562690)Termination reason: Instruction limit
% 72.58/10.78 % (3562690)Termination phase: Saturation
% 72.58/10.78 % (3562690)Time elapsed: 0.737 s
% 72.58/10.78 % (3562690)Peak memory usage: 22 MB
% 72.58/10.78 % (3562690)Instructions burned: 1179 (million)
% 72.58/10.78 % (3562700)fmb+10_1_sil=64000:random_seed=1654468859:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 72.58/10.78 % TRYING [1]
% 72.58/10.78 % TRYING [2]
% 72.58/10.78 % TRYING [3]
% 72.58/10.78 % TRYING [4]
% 72.58/10.78 % (3562701)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1655678430:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 72.58/10.78 % TRYING [20]
% 72.58/10.78 % TRYING [5]
% 72.58/10.78 % (3562694)Instruction limit reached!
% 72.58/10.78 % (3562694)------------------------------
% 72.58/10.78 % (3562694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562694)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562694)Termination reason: Instruction limit
% 72.58/10.78 % (3562694)Termination phase: Saturation
% 72.58/10.78 % (3562694)Time elapsed: 0.591 s
% 72.58/10.78 % (3562694)Peak memory usage: 20 MB
% 72.58/10.78 % (3562694)Instructions burned: 692 (million)
% 72.58/10.78 % TRYING [6]
% 72.58/10.78 % (3562704)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4029391681:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 72.58/10.78 % TRYING [8]
% 72.58/10.78 % TRYING [7]
% 72.58/10.78 % (3562698)Instruction limit reached!
% 72.58/10.78 % (3562698)------------------------------
% 72.58/10.78 % (3562698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562698)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562698)Termination reason: Instruction limit
% 72.58/10.78 % (3562698)Termination phase: Saturation
% 72.58/10.78 % (3562698)Time elapsed: 0.803 s
% 72.58/10.78 % (3562698)Peak memory usage: 19 MB
% 72.58/10.78 % (3562698)Instructions burned: 879 (million)
% 72.58/10.78 % (3562708)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1535817065:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 72.58/10.78 % (3562704)Instruction limit reached!
% 72.58/10.78 % (3562704)------------------------------
% 72.58/10.78 % (3562704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562704)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562704)Termination reason: Instruction limit
% 72.58/10.78 % (3562704)Termination phase: Finite model building constraint generation
% 72.58/10.78 % (3562704)Time elapsed: 0.646 s
% 72.58/10.78 % (3562704)Peak memory usage: 69 MB
% 72.58/10.78 % (3562704)Instructions burned: 921 (million)
% 72.58/10.78 % (3562710)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=772641091:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 72.58/10.78 % (3562710)Instruction limit reached!
% 72.58/10.78 % (3562710)------------------------------
% 72.58/10.78 % (3562710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562710)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562710)Termination reason: Instruction limit
% 72.58/10.78 % (3562710)Termination phase: Saturation
% 72.58/10.78 % (3562710)Time elapsed: 1.260 s
% 72.58/10.78 % (3562710)Peak memory usage: 24 MB
% 72.58/10.78 % (3562710)Instructions burned: 1472 (million)
% 72.58/10.78 % (3562712)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1336759512:i=6324_2966 on theBenchmark for (2966ds/6324Mi)
% 72.58/10.78 % TRYING [77]
% 72.58/10.78 % TRYING [8]
% 72.58/10.78 % TRYING [8]
% 72.58/10.78 % (3562708)Instruction limit reached!
% 72.58/10.78 % (3562708)------------------------------
% 72.58/10.78 % (3562708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562708)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562708)Termination reason: Instruction limit
% 72.58/10.78 % (3562708)Termination phase: Saturation
% 72.58/10.78 % (3562708)Time elapsed: 4.475 s
% 72.58/10.78 % (3562708)Peak memory usage: 51 MB
% 72.58/10.78 % (3562708)Instructions burned: 5131 (million)
% 72.58/10.78 % (3562716)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=673499657:fmbsr=2.30978:i=2174_2935 on theBenchmark for (2935ds/2174Mi)
% 72.58/10.78 % TRYING [16]
% 72.58/10.78 % (3562716)Instruction limit reached!
% 72.58/10.78 % (3562716)------------------------------
% 72.58/10.78 % (3562716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562716)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562716)Termination reason: Instruction limit
% 72.58/10.78 % (3562716)Termination phase: Finite model building constraint generation
% 72.58/10.78 % (3562716)Time elapsed: 1.421 s
% 72.58/10.78 % (3562716)Peak memory usage: 145 MB
% 72.58/10.78 % (3562716)Instructions burned: 2175 (million)
% 72.58/10.78 % (3562701)Instruction limit reached!
% 72.58/10.78 % (3562701)------------------------------
% 72.58/10.78 % (3562701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562701)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562701)Termination reason: Instruction limit
% 72.58/10.78 % (3562701)Termination phase: Finite model building constraint generation
% 72.58/10.78 % (3562701)Time elapsed: 6.661 s
% 72.58/10.78 % (3562701)Peak memory usage: 611 MB
% 72.58/10.78 % (3562701)Instructions burned: 9515 (million)
% 72.58/10.78 % (3562718)ott-2_1_sil=16000:newcnf=on:random_seed=96884480:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2921 on theBenchmark for (2921ds/869Mi)
% 72.58/10.78 % (3562720)ott+10_1_sil=32000:tgt=ground:random_seed=815209233:i=5114:av=off_2919 on theBenchmark for (2919ds/5114Mi)
% 72.58/10.78 % (3562712)Instruction limit reached!
% 72.58/10.78 % (3562712)------------------------------
% 72.58/10.78 % (3562712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562712)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562712)Termination reason: Instruction limit
% 72.58/10.78 % (3562712)Termination phase: Finite model building constraint generation
% 72.58/10.78 % (3562712)Time elapsed: 4.649 s
% 72.58/10.78 % (3562712)Peak memory usage: 514 MB
% 72.58/10.78 % (3562712)Instructions burned: 6324 (million)
% 72.58/10.78 % (3562722)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3369038434:i=54282_2918 on theBenchmark for (2918ds/54282Mi)
% 72.58/10.78 % TRYING [1]
% 72.58/10.78 % TRYING [2]
% 72.58/10.78 % TRYING [3]
% 72.58/10.78 % TRYING [4]
% 72.58/10.78 % TRYING [5]
% 72.58/10.78 % TRYING [6]
% 72.58/10.78 % (3562718)Instruction limit reached!
% 72.58/10.78 % (3562718)------------------------------
% 72.58/10.78 % (3562718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.78 % (3562718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.78 % (3562718)CaDiCaL version: 2.1.3
% 72.58/10.78 % (3562718)Termination reason: Instruction limit
% 72.58/10.78 % (3562718)Termination phase: Saturation
% 72.58/10.78 % (3562718)Time elapsed: 0.755 s
% 72.58/10.78 % (3562718)Peak memory usage: 20 MB
% 72.58/10.78 % (3562718)Instructions burned: 869 (million)
% 72.58/10.78 % (3562724)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1494823691:i=3512:aac=none_2913 on theBenchmark for (2913ds/3512Mi)
% 72.58/10.78 % TRYING [7]
% 72.58/10.78 % TRYING [9]
% 72.58/10.78 % (3562720) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3562660-3562720"...
% 72.58/10.78 % (3562720)...printing done.
% 72.58/10.78 % (3562720)Refutation found. Thanks to Tanya!
% 72.58/10.78 % SZS status Theorem for theBenchmark
% 72.58/10.78 % SZS output start Proof for theBenchmark
% See solution above
% 72.58/10.79 % (3562720)------------------------------
% 72.58/10.79 % (3562720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.58/10.79 % (3562720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.58/10.79 % (3562720)CaDiCaL version: 2.1.3
% 72.58/10.79 % (3562720)Termination reason: Refutation
% 72.58/10.79 % (3562720)Time elapsed: 2.180 s
% 72.58/10.79 % (3562720)Peak memory usage: 37 MB
% 72.58/10.79 % (3562720)Instructions burned: 2165 (million)
% 72.58/10.79 % (3562660)Success in time 10.279 s
% 72.58/10.79 % Vampire exiting
%------------------------------------------------------------------------------