%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE111+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:40:22 AM UTC 2026
% Result : Theorem 9.56s 2.28s
% Output : Refutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 40
% Syntax : Number of formulae : 222 ( 222 unt; 19 def)
% Number of atoms : 222 ( 221 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 20 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 23 con; 0-2 aty)
% Number of variables : 150 ( 148 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',left_distributivity) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f25,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_box) ).
fof(f27,conjecture,
! [X0,X1] : addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1)) = domain(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1] : addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1)) = domain(X1),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1] : domain(X1) != addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1)),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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(f35,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(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(f46,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f47,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f18]) ).
fof(f48,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f20]) ).
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(f53,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f50,f45]) ).
fof(f58,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f53,f49,f49]) ).
fof(f61,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f52,f45,f45]) ).
fof(f62,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f54,f57,f61,f57]) ).
fof(f63,plain,
antidomain(antidomain(sK1)) != addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),sK0))),antidomain(antidomain(sK1))),
inference(definition_unfolding,[],[f56,f45,f58,f62,f45,f45]) ).
fof(f64,definition,
sF2 = antidomain(sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f65,plain,
antidomain(sK1) = sF2,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF3 = antidomain(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
antidomain(sF2) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = antidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
antidomain(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = antidomain(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
antidomain(sF4) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = antidomain(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
antidomain(sF5) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = antidomain(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
antidomain(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = antidomain(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
antidomain(sF7) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = multiplication(sK0,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
multiplication(sK0,sF8) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = antidomain(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
antidomain(sF9) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = antidomain(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
antidomain(sF10) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = antidomain(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
antidomain(sF11) = sF12,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF13 = antidomain(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
antidomain(sF12) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = antidomain(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
antidomain(sF13) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = coantidomain(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
coantidomain(sF14) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = coantidomain(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
coantidomain(sF15) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = multiplication(sF16,sK0),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
multiplication(sF16,sK0) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = coantidomain(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
coantidomain(sF17) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = coantidomain(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
coantidomain(sF18) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF20 = addition(sF19,sF3),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f101,plain,
addition(sF19,sF3) = sF20,
inference(reorient_equations,[],[f100]) ).
fof(f102,plain,
sF3 != sF20,
inference(definition_folding,[],[f63,f101,f67,f65,f99,f97,f95,f93,f91,f89,f87,f85,f83,f81,f79,f77,f75,f73,f71,f69,f67,f65,f67,f65]) ).
fof(f113,plain,
one = addition(antidomain(sF13),sF13),
inference(superposition,[],[f44,f87]) ).
fof(f118,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f31,f44]) ).
fof(f119,plain,
one = addition(sF14,sF13),
inference(forward_demodulation,[],[f113,f89]) ).
fof(f131,plain,
one = addition(coantidomain(sF18),sF18),
inference(superposition,[],[f48,f97]) ).
fof(f136,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f31,f48]) ).
fof(f137,plain,
one = addition(sF19,sF18),
inference(forward_demodulation,[],[f131,f99]) ).
fof(f180,plain,
zero = multiplication(sF10,sF9),
inference(superposition,[],[f42,f81]) ).
fof(f185,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f39,f42]) ).
fof(f187,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f38,f42]) ).
fof(f189,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f187,f33]) ).
fof(f190,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f185,f33]) ).
fof(f205,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f190,f44]) ).
fof(f212,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f205,f37]) ).
fof(f250,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f263,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f32,f38]) ).
fof(f351,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f31,f33]) ).
fof(f371,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f39,f46]) ).
fof(f373,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(superposition,[],[f38,f46]) ).
fof(f376,plain,
zero = coantidomain(one),
inference(superposition,[],[f37,f46]) ).
fof(f379,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f373,f33]) ).
fof(f381,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f371,f33]) ).
fof(f383,plain,
! [X0] : multiplication(sF15,X0) = multiplication(sF15,addition(X0,sF16)),
inference(superposition,[],[f379,f93]) ).
fof(f390,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[],[f379,f48]) ).
fof(f403,plain,
! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f390,f36]) ).
fof(f436,plain,
! [X0,X1] : multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))) = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(superposition,[],[f379,f47]) ).
fof(f442,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f436,f46]) ).
fof(f449,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f442,f35]) ).
fof(f484,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f561,plain,
! [X0] : multiplication(sF17,X0) = multiplication(sF16,multiplication(sK0,X0)),
inference(superposition,[],[f35,f95]) ).
fof(f596,plain,
sF14 = multiplication(sF14,coantidomain(sF15)),
inference(superposition,[],[f403,f91]) ).
fof(f612,plain,
one = coantidomain(coantidomain(one)),
inference(superposition,[],[f37,f403]) ).
fof(f614,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f612,f376]) ).
fof(f621,plain,
sF14 = multiplication(sF14,sF16),
inference(forward_demodulation,[],[f596,f93]) ).
fof(f853,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f449,f42]) ).
fof(f894,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f853,f614]) ).
fof(f905,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f894,f36]) ).
fof(f930,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(superposition,[],[f39,f905]) ).
fof(f948,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(forward_demodulation,[],[f930,f33]) ).
fof(f1286,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f263,f39]) ).
fof(f1982,plain,
one = addition(sF4,antidomain(sF4)),
inference(superposition,[],[f118,f69]) ).
fof(f1990,plain,
one = addition(sF13,antidomain(sF13)),
inference(superposition,[],[f118,f87]) ).
fof(f1995,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f189,f118]) ).
fof(f2003,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f1995,f36]) ).
fof(f2006,plain,
one = addition(sF13,sF14),
inference(forward_demodulation,[],[f1990,f89]) ).
fof(f2013,plain,
one = addition(sF4,sF5),
inference(forward_demodulation,[],[f1982,f71]) ).
fof(f2018,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f2003,f212]) ).
fof(f2023,plain,
sF2 = antidomain(antidomain(sF2)),
inference(superposition,[],[f2018,f65]) ).
fof(f2024,plain,
sF3 = antidomain(antidomain(sF3)),
inference(superposition,[],[f2018,f67]) ).
fof(f2025,plain,
sF4 = antidomain(antidomain(sF4)),
inference(superposition,[],[f2018,f69]) ).
fof(f2027,plain,
sF6 = antidomain(antidomain(sF6)),
inference(superposition,[],[f2018,f73]) ).
fof(f2030,plain,
sF10 = antidomain(antidomain(sF10)),
inference(superposition,[],[f2018,f81]) ).
fof(f2031,plain,
sF11 = antidomain(antidomain(sF11)),
inference(superposition,[],[f2018,f83]) ).
fof(f2032,plain,
sF12 = antidomain(antidomain(sF12)),
inference(superposition,[],[f2018,f85]) ).
fof(f2052,plain,
sF12 = antidomain(sF13),
inference(forward_demodulation,[],[f2032,f87]) ).
fof(f2053,plain,
sF11 = antidomain(sF12),
inference(forward_demodulation,[],[f2031,f85]) ).
fof(f2054,plain,
sF10 = antidomain(sF11),
inference(forward_demodulation,[],[f2030,f83]) ).
fof(f2056,plain,
sF6 = antidomain(sF7),
inference(forward_demodulation,[],[f2027,f75]) ).
fof(f2058,plain,
sF4 = antidomain(sF5),
inference(forward_demodulation,[],[f2025,f71]) ).
fof(f2059,plain,
sF3 = antidomain(sF4),
inference(forward_demodulation,[],[f2024,f69]) ).
fof(f2060,plain,
sF2 = antidomain(sF3),
inference(forward_demodulation,[],[f2023,f67]) ).
fof(f2062,plain,
sF12 = sF14,
inference(forward_demodulation,[],[f2052,f89]) ).
fof(f2063,plain,
sF11 = sF13,
inference(forward_demodulation,[],[f2053,f87]) ).
fof(f2064,plain,
sF10 = sF12,
inference(forward_demodulation,[],[f2054,f85]) ).
fof(f2065,plain,
sF6 = sF8,
inference(forward_demodulation,[],[f2056,f77]) ).
fof(f2067,plain,
sF4 = sF6,
inference(forward_demodulation,[],[f2058,f73]) ).
fof(f2068,plain,
sF3 = sF5,
inference(forward_demodulation,[],[f2059,f71]) ).
fof(f2069,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f2060,f69]) ).
fof(f2071,plain,
sF20 = addition(sF19,sF5),
inference(superposition,[],[f101,f2068]) ).
fof(f2106,plain,
sF9 = multiplication(sK0,sF6),
inference(superposition,[],[f79,f2065]) ).
fof(f2107,plain,
sF9 = multiplication(sK0,sF4),
inference(forward_demodulation,[],[f2106,f2067]) ).
fof(f2109,plain,
sF9 = multiplication(sK0,sF2),
inference(forward_demodulation,[],[f2107,f2069]) ).
fof(f2428,plain,
multiplication(sF13,coantidomain(sF14)) = multiplication(one,coantidomain(sF14)),
inference(superposition,[],[f381,f2006]) ).
fof(f2430,plain,
one = addition(sF13,one),
inference(superposition,[],[f484,f2006]) ).
fof(f2431,plain,
one = addition(sF11,one),
inference(forward_demodulation,[],[f2430,f2063]) ).
fof(f2433,plain,
coantidomain(sF14) = multiplication(sF13,coantidomain(sF14)),
inference(forward_demodulation,[],[f2428,f37]) ).
fof(f2439,plain,
sF15 = multiplication(sF13,sF15),
inference(forward_demodulation,[],[f2433,f91]) ).
fof(f2444,plain,
sF15 = multiplication(sF11,sF15),
inference(forward_demodulation,[],[f2439,f2063]) ).
fof(f2452,plain,
one = addition(one,sF11),
inference(superposition,[],[f31,f2431]) ).
fof(f2827,plain,
! [X0] : multiplication(sF11,addition(sF15,X0)) = addition(sF15,multiplication(sF11,X0)),
inference(superposition,[],[f38,f2444]) ).
fof(f3170,plain,
one = addition(sF15,coantidomain(sF15)),
inference(superposition,[],[f136,f91]) ).
fof(f3174,plain,
! [X0] : multiplication(coantidomain(X0),one) = multiplication(coantidomain(X0),coantidomain(X0)),
inference(superposition,[],[f379,f136]) ).
fof(f3180,plain,
! [X0] : multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))) = multiplication(one,coantidomain(coantidomain(coantidomain(X0)))),
inference(superposition,[],[f381,f136]) ).
fof(f3184,plain,
! [X0] : coantidomain(coantidomain(coantidomain(X0))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f3180,f37]) ).
fof(f3189,plain,
! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),coantidomain(X0)),
inference(forward_demodulation,[],[f3174,f36]) ).
fof(f3191,plain,
one = addition(sF15,sF16),
inference(forward_demodulation,[],[f3170,f93]) ).
fof(f3195,plain,
! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f3184,f403]) ).
fof(f3201,plain,
sF15 = coantidomain(coantidomain(sF15)),
inference(superposition,[],[f3195,f91]) ).
fof(f3219,plain,
sF15 = coantidomain(sF16),
inference(forward_demodulation,[],[f3201,f93]) ).
fof(f3345,plain,
sF15 = multiplication(sF15,sF15),
inference(superposition,[],[f3189,f3219]) ).
fof(f4463,plain,
one = addition(sF19,one),
inference(superposition,[],[f484,f137]) ).
fof(f4654,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sF5)) = addition(multiplication(X0,one),multiplication(X1,sF5)),
inference(superposition,[],[f1286,f2013]) ).
fof(f4667,plain,
! [X0,X1] : addition(multiplication(X0,sF15),multiplication(addition(X0,X1),sF16)) = addition(multiplication(X0,one),multiplication(X1,sF16)),
inference(superposition,[],[f1286,f3191]) ).
fof(f4956,plain,
! [X0,X1] : addition(multiplication(X0,sF15),multiplication(addition(X0,X1),sF16)) = addition(X0,multiplication(X1,sF16)),
inference(forward_demodulation,[],[f4667,f36]) ).
fof(f4968,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sF5)) = addition(X0,multiplication(X1,sF5)),
inference(forward_demodulation,[],[f4654,f36]) ).
fof(f5080,plain,
! [X0,X1] : addition(X0,multiplication(X1,sF5)) = addition(multiplication(X0,sF2),multiplication(addition(X0,X1),sF5)),
inference(forward_demodulation,[],[f4968,f2069]) ).
fof(f8505,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(superposition,[],[f948,f136]) ).
fof(f8579,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f8505,f37]) ).
fof(f8680,plain,
sF13 = multiplication(coantidomain(sF14),sF13),
inference(superposition,[],[f8579,f89]) ).
fof(f8734,plain,
sF11 = multiplication(coantidomain(sF14),sF11),
inference(forward_demodulation,[],[f8680,f2063]) ).
fof(f8754,plain,
sF11 = multiplication(sF15,sF11),
inference(forward_demodulation,[],[f8734,f91]) ).
fof(f8779,plain,
multiplication(sF15,addition(one,sF11)) = addition(sF15,sF11),
inference(superposition,[],[f250,f8754]) ).
fof(f8796,plain,
multiplication(sF15,one) = addition(sF15,sF11),
inference(forward_demodulation,[],[f8779,f2452]) ).
fof(f8807,plain,
sF15 = addition(sF15,sF11),
inference(forward_demodulation,[],[f8796,f36]) ).
fof(f10261,plain,
addition(sF15,multiplication(sF11,sF16)) = addition(multiplication(sF15,sF15),multiplication(sF15,sF16)),
inference(superposition,[],[f4956,f8807]) ).
fof(f10269,plain,
addition(sF15,multiplication(sF11,sF16)) = multiplication(sF15,addition(sF15,sF16)),
inference(forward_demodulation,[],[f10261,f38]) ).
fof(f10278,plain,
multiplication(sF15,sF15) = addition(sF15,multiplication(sF11,sF16)),
inference(forward_demodulation,[],[f10269,f383]) ).
fof(f10285,plain,
multiplication(sF15,sF15) = multiplication(sF11,addition(sF15,sF16)),
inference(forward_demodulation,[],[f10278,f2827]) ).
fof(f10291,plain,
multiplication(sF11,one) = multiplication(sF15,sF15),
inference(forward_demodulation,[],[f10285,f3191]) ).
fof(f10294,plain,
sF15 = multiplication(sF11,one),
inference(forward_demodulation,[],[f10291,f3345]) ).
fof(f10295,plain,
sF11 = sF15,
inference(forward_demodulation,[],[f10294,f36]) ).
fof(f10296,plain,
sF16 = coantidomain(sF11),
inference(superposition,[],[f93,f10295]) ).
fof(f11070,plain,
multiplication(one,coantidomain(sF13)) = multiplication(sF14,coantidomain(sF13)),
inference(superposition,[],[f381,f119]) ).
fof(f11099,plain,
multiplication(one,coantidomain(sF11)) = multiplication(sF14,coantidomain(sF11)),
inference(forward_demodulation,[],[f11070,f2063]) ).
fof(f11119,plain,
multiplication(sF14,sF16) = multiplication(one,sF16),
inference(forward_demodulation,[],[f11099,f10296]) ).
fof(f11136,plain,
sF16 = multiplication(sF14,sF16),
inference(forward_demodulation,[],[f11119,f37]) ).
fof(f11151,plain,
sF14 = sF16,
inference(forward_demodulation,[],[f11136,f621]) ).
fof(f11156,plain,
sF12 = sF16,
inference(forward_demodulation,[],[f11151,f2062]) ).
fof(f11158,plain,
sF10 = sF16,
inference(forward_demodulation,[],[f11156,f2064]) ).
fof(f16440,plain,
multiplication(sF17,sF2) = multiplication(sF16,sF9),
inference(superposition,[],[f561,f2109]) ).
fof(f16526,plain,
multiplication(sF10,sF9) = multiplication(sF17,sF2),
inference(forward_demodulation,[],[f16440,f11158]) ).
fof(f16544,plain,
zero = multiplication(sF17,sF2),
inference(forward_demodulation,[],[f16526,f180]) ).
fof(f16572,plain,
zero = multiplication(coantidomain(coantidomain(sF17)),multiplication(sF2,coantidomain(zero))),
inference(superposition,[],[f449,f16544]) ).
fof(f16591,plain,
zero = multiplication(coantidomain(coantidomain(sF17)),multiplication(sF2,one)),
inference(forward_demodulation,[],[f16572,f614]) ).
fof(f16612,plain,
zero = multiplication(coantidomain(coantidomain(sF17)),sF2),
inference(forward_demodulation,[],[f16591,f36]) ).
fof(f16621,plain,
zero = multiplication(coantidomain(sF18),sF2),
inference(forward_demodulation,[],[f16612,f97]) ).
fof(f16628,plain,
zero = multiplication(sF19,sF2),
inference(forward_demodulation,[],[f16621,f99]) ).
fof(f20243,plain,
addition(sF19,multiplication(one,sF5)) = addition(multiplication(sF19,sF2),multiplication(one,sF5)),
inference(superposition,[],[f5080,f4463]) ).
fof(f20314,plain,
addition(sF19,sF5) = addition(multiplication(sF19,sF2),sF5),
inference(forward_demodulation,[],[f20243,f37]) ).
fof(f20437,plain,
addition(sF19,sF5) = addition(zero,sF5),
inference(forward_demodulation,[],[f20314,f16628]) ).
fof(f20537,plain,
sF5 = addition(sF19,sF5),
inference(forward_demodulation,[],[f20437,f351]) ).
fof(f20621,plain,
sF5 = sF20,
inference(forward_demodulation,[],[f20537,f2071]) ).
fof(f20733,plain,
sF3 != sF5,
inference(superposition,[],[f102,f20621]) ).
fof(f20745,plain,
$false,
inference(forward_subsumption_resolution,[],[f20733,f2068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE111+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:06:05 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.56/2.28 % (2538258)Detected formulas, will run a generic FOF schedule.
% 9.56/2.28 % (2538263)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=584801827:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.56/2.28 % (2538264)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3311599222:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.56/2.28 % (2538269)dis-21_1_sil=8000:lcm=predicate:random_seed=127936571:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.56/2.28 % (2538265)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2482187735:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.56/2.28 % (2538267)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3980708683:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.56/2.28 % (2538266)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2558851142:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.56/2.28 % (2538268)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1760991410:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.56/2.28 % (2538266)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538266)------------------------------
% 9.56/2.28 % (2538266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538266)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538266)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538266)Time elapsed: 0.002 s
% 9.56/2.28 % (2538266)Peak memory usage: 88 MB
% 9.56/2.28 % (2538269)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538269)------------------------------
% 9.56/2.28 % (2538269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538269)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538269)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538269)Time elapsed: 0.002 s
% 9.56/2.28 % (2538269)Peak memory usage: 88 MB
% 9.56/2.28 % (2538269)Instructions burned: 1 (million)
% 9.56/2.28 % (2538267)Instruction limit reached!
% 9.56/2.28 % (2538267)------------------------------
% 9.56/2.28 % (2538267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538267)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538267)Termination reason: Instruction limit
% 9.56/2.28 % (2538267)Termination phase: Saturation
% 9.56/2.28 % (2538267)Time elapsed: 0.061 s
% 9.56/2.28 % (2538267)Peak memory usage: 88 MB
% 9.56/2.28 % (2538267)Instructions burned: 120 (million)
% 9.56/2.28 % (2538268)Instruction limit reached!
% 9.56/2.28 % (2538268)------------------------------
% 9.56/2.28 % (2538268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538268)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538268)Termination reason: Instruction limit
% 9.56/2.28 % (2538268)Termination phase: Saturation
% 9.56/2.28 % (2538268)Time elapsed: 0.082 s
% 9.56/2.28 % (2538268)Peak memory usage: 89 MB
% 9.56/2.28 % (2538268)Instructions burned: 140 (million)
% 9.56/2.28 % (2538277)lrs+10_1_sil=8000:sp=occurrence:random_seed=1336278660:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.56/2.28 % (2538269)------------------------------
% 9.56/2.28 % (2538269)------------------------------
% 9.56/2.28 % (2538266)------------------------------
% 9.56/2.28 % (2538266)------------------------------
% 9.56/2.28 % (2538278)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3182971531:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.56/2.28 % (2538278)Instruction limit reached!
% 9.56/2.28 % (2538278)------------------------------
% 9.56/2.28 % (2538278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538278)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538278)Termination reason: Instruction limit
% 9.56/2.28 % (2538278)Termination phase: Saturation
% 9.56/2.28 % (2538278)Time elapsed: 0.083 s
% 9.56/2.28 % (2538278)Peak memory usage: 89 MB
% 9.56/2.28 % (2538278)Instructions burned: 158 (million)
% 9.56/2.28 % (2538277)Instruction limit reached!
% 9.56/2.28 % (2538277)------------------------------
% 9.56/2.28 % (2538277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538277)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538277)Termination reason: Instruction limit
% 9.56/2.28 % (2538277)Termination phase: Saturation
% 9.56/2.28 % (2538277)Time elapsed: 0.171 s
% 9.56/2.28 % (2538277)Peak memory usage: 91 MB
% 9.56/2.28 % (2538277)Instructions burned: 287 (million)
% 9.56/2.28 % (2538281)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2257777552:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.56/2.28 % (2538282)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=411405506:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.56/2.28 % (2538283)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1857124098:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.56/2.28 % (2538283)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538283)------------------------------
% 9.56/2.28 % (2538283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538283)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538283)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538283)Time elapsed: 0.002 s
% 9.56/2.28 % (2538283)Peak memory usage: 88 MB
% 9.56/2.28 % (2538283)Instructions burned: 2 (million)
% 9.56/2.28 % (2538284)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4163488500:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.56/2.28 % (2538282)Instruction limit reached!
% 9.56/2.28 % (2538282)------------------------------
% 9.56/2.28 % (2538282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538282)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538282)Termination reason: Instruction limit
% 9.56/2.28 % (2538282)Termination phase: Saturation
% 9.56/2.28 % (2538282)Time elapsed: 0.147 s
% 9.56/2.28 % (2538282)Peak memory usage: 91 MB
% 9.56/2.28 % (2538282)Instructions burned: 249 (million)
% 9.56/2.28 % (2538265)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538265)------------------------------
% 9.56/2.28 % (2538265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538265)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538265)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538265)Time elapsed: 0.592 s
% 9.56/2.28 % (2538265)Peak memory usage: 127 MB
% 9.56/2.28 % (2538265)Instructions burned: 891 (million)
% 9.56/2.28 % (2538281)Instruction limit reached!
% 9.56/2.28 % (2538281)------------------------------
% 9.56/2.28 % (2538281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538281)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538281)Termination reason: Instruction limit
% 9.56/2.28 % (2538281)Termination phase: Saturation
% 9.56/2.28 % (2538281)Time elapsed: 0.194 s
% 9.56/2.28 % (2538281)Peak memory usage: 92 MB
% 9.56/2.28 % (2538281)Instructions burned: 326 (million)
% 9.56/2.28 % (2538289)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=784682334:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.56/2.28 % (2538283)------------------------------
% 9.56/2.28 % (2538283)------------------------------
% 9.56/2.28 % (2538289)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538289)------------------------------
% 9.56/2.28 % (2538289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538289)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538289)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538289)Time elapsed: 0.002 s
% 9.56/2.28 % (2538289)Peak memory usage: 88 MB
% 9.56/2.28 % (2538289)Instructions burned: 1 (million)
% 9.56/2.28 % (2538290)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2686096207:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.56/2.28 % (2538290)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538290)------------------------------
% 9.56/2.28 % (2538290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538290)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538290)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538290)Time elapsed: 0.001 s
% 9.56/2.28 % (2538290)Peak memory usage: 88 MB
% 9.56/2.28 % (2538290)Instructions burned: 1 (million)
% 9.56/2.28 % (2538265)------------------------------
% 9.56/2.28 % (2538265)------------------------------
% 9.56/2.28 % (2538292)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2981383696:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.56/2.28 % (2538292)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538292)------------------------------
% 9.56/2.28 % (2538292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538292)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538292)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538292)Time elapsed: 0.002 s
% 9.56/2.28 % (2538292)Peak memory usage: 88 MB
% 9.56/2.28 % (2538292)Instructions burned: 1 (million)
% 9.56/2.28 % (2538289)------------------------------
% 9.56/2.28 % (2538289)------------------------------
% 9.56/2.28 % (2538290)------------------------------
% 9.56/2.28 % (2538290)------------------------------
% 9.56/2.28 % (2538294)lrs+10_1_sil=8000:sp=occurrence:random_seed=2192110074:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 9.56/2.28 % (2538263)First to succeed.
% 9.56/2.28 % (2538263)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2538258"
% 9.56/2.28 % (2538296)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2021265280:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 9.56/2.28 % (2538296)Refutation not found, incomplete strategy
% 9.56/2.28 % (2538296)------------------------------
% 9.56/2.28 % (2538296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.28 % (2538296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.28 % (2538296)CaDiCaL version: 2.1.3
% 9.56/2.28 % (2538296)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.28 % (2538296)Time elapsed: 0.001 s
% 9.56/2.28 % (2538296)Peak memory usage: 88 MB
% 9.56/2.28 % (2538292)------------------------------
% 9.56/2.28 % (2538292)------------------------------
% 9.56/2.28 % (2538298)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1270589513:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 9.56/2.28 % (2538263)Refutation found. Thanks to Tanya!
% 9.56/2.28 % SZS status Theorem for theBenchmark
% 9.56/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 10.65/2.47 % (2538263)------------------------------
% 10.65/2.47 % (2538263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.65/2.47 % (2538263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.65/2.47 % (2538263)CaDiCaL version: 2.1.3
% 10.65/2.47 % (2538263)Termination reason: Refutation
% 10.65/2.47 % (2538263)Time elapsed: 1.115 s
% 10.65/2.47 % (2538263)Peak memory usage: 153 MB
% 10.65/2.47 % (2538263)Instructions burned: 3292 (million)
% 10.65/2.47 % (2538263)------------------------------
% 10.65/2.47 % (2538263)------------------------------
% 10.65/2.47 % (2538258)Success in time 1.425 s
% 10.65/2.47 % Vampire exiting
%------------------------------------------------------------------------------