TSTP Solution File: KLE091+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE091+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:15:28 EDT 2024
% Result : Theorem 13.94s 2.34s
% Output : Refutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 153 ( 152 unt; 0 def)
% Number of atoms : 154 ( 153 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 185 ( 183 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98380,plain,
$false,
inference(trivial_inequality_removal,[],[f98318]) ).
fof(f98318,plain,
codomain(sK0) != codomain(sK0),
inference(superposition,[],[f36,f97567]) ).
fof(f97567,plain,
! [X0] : codomain(X0) = domain(codomain(X0)),
inference(superposition,[],[f7493,f97291]) ).
fof(f97291,plain,
! [X0] : codomain(X0) = antidomain(coantidomain(X0)),
inference(backward_demodulation,[],[f77001,f96828]) ).
fof(f96828,plain,
! [X0] : codomain(X0) = multiplication(codomain(X0),antidomain(coantidomain(X0))),
inference(superposition,[],[f96413,f10472]) ).
fof(f10472,plain,
! [X0] : coantidomain(X0) = coantidomain(codomain(X0)),
inference(forward_demodulation,[],[f10471,f694]) ).
fof(f694,plain,
! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(superposition,[],[f679,f70]) ).
fof(f70,plain,
! [X0] : codomain(coantidomain(X0)) = coantidomain(codomain(X0)),
inference(superposition,[],[f46,f46]) ).
fof(f46,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain4) ).
fof(f679,plain,
! [X0] : multiplication(X0,codomain(X0)) = X0,
inference(forward_demodulation,[],[f657,f40]) ).
fof(f40,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f657,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,codomain(X0)),
inference(superposition,[],[f414,f83]) ).
fof(f83,plain,
! [X0] : one = addition(coantidomain(X0),codomain(X0)),
inference(superposition,[],[f56,f49]) ).
fof(f49,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f56,plain,
! [X0] : one = addition(codomain(X0),coantidomain(X0)),
inference(forward_demodulation,[],[f47,f46]) ).
fof(f47,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
fof(f414,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(coantidomain(X0),X1)),
inference(forward_demodulation,[],[f385,f72]) ).
fof(f72,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f49,f39]) ).
fof(f39,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f385,plain,
! [X0,X1] : addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(coantidomain(X0),X1)),
inference(superposition,[],[f54,f43]) ).
fof(f43,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).
fof(f54,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f10471,plain,
! [X0] : coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(forward_demodulation,[],[f10163,f41]) ).
fof(f41,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f10163,plain,
! [X0] : multiplication(coantidomain(X0),coantidomain(codomain(X0))) = multiplication(one,coantidomain(codomain(X0))),
inference(superposition,[],[f631,f56]) ).
fof(f631,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = multiplication(X1,coantidomain(X0)),
inference(forward_demodulation,[],[f591,f72]) ).
fof(f591,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = addition(zero,multiplication(X1,coantidomain(X0))),
inference(superposition,[],[f55,f43]) ).
fof(f55,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f96413,plain,
! [X0] : multiplication(X0,antidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f96269,f40]) ).
fof(f96269,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,antidomain(coantidomain(X0))),
inference(superposition,[],[f1123,f57]) ).
fof(f57,plain,
! [X0] : one = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f48,f45]) ).
fof(f45,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f48,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f1123,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(domain(coantidomain(X0)),X1)),
inference(forward_demodulation,[],[f1102,f72]) ).
fof(f1102,plain,
! [X0,X1] : addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(domain(coantidomain(X0)),X1)),
inference(superposition,[],[f54,f1087]) ).
fof(f1087,plain,
! [X0] : zero = multiplication(X0,domain(coantidomain(X0))),
inference(forward_demodulation,[],[f1072,f38]) ).
fof(f38,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f1072,plain,
! [X0] : multiplication(X0,domain(coantidomain(X0))) = multiplication(zero,multiplication(X0,domain(coantidomain(X0)))),
inference(superposition,[],[f846,f991]) ).
fof(f991,plain,
! [X0] : zero = domain(multiplication(X0,domain(coantidomain(X0)))),
inference(forward_demodulation,[],[f975,f63]) ).
fof(f63,plain,
zero = antidomain(one),
inference(superposition,[],[f44,f40]) ).
fof(f44,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f975,plain,
! [X0] : antidomain(one) = domain(multiplication(X0,domain(coantidomain(X0)))),
inference(superposition,[],[f45,f918]) ).
fof(f918,plain,
! [X0] : one = antidomain(multiplication(X0,domain(coantidomain(X0)))),
inference(forward_demodulation,[],[f917,f349]) ).
fof(f349,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(superposition,[],[f331,f49]) ).
fof(f331,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f153,f105]) ).
fof(f105,plain,
! [X0] : one = addition(antidomain(X0),domain(X0)),
inference(superposition,[],[f57,f49]) ).
fof(f153,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f52,f42]) ).
fof(f42,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f52,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f917,plain,
! [X0] : antidomain(multiplication(X0,domain(coantidomain(X0)))) = addition(one,antidomain(multiplication(X0,domain(coantidomain(X0))))),
inference(forward_demodulation,[],[f880,f121]) ).
fof(f121,plain,
one = antidomain(zero),
inference(superposition,[],[f109,f39]) ).
fof(f109,plain,
one = addition(antidomain(zero),zero),
inference(forward_demodulation,[],[f102,f63]) ).
fof(f102,plain,
one = addition(antidomain(zero),antidomain(one)),
inference(superposition,[],[f57,f67]) ).
fof(f67,plain,
antidomain(zero) = domain(one),
inference(superposition,[],[f45,f63]) ).
fof(f880,plain,
! [X0] : antidomain(multiplication(X0,domain(coantidomain(X0)))) = addition(antidomain(zero),antidomain(multiplication(X0,domain(coantidomain(X0))))),
inference(superposition,[],[f58,f43]) ).
fof(f58,plain,
! [X0,X1] : antidomain(multiplication(X0,domain(X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(forward_demodulation,[],[f50,f45]) ).
fof(f50,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f846,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f829,f41]) ).
fof(f829,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(superposition,[],[f633,f105]) ).
fof(f633,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f595,f72]) ).
fof(f595,plain,
! [X0,X1] : addition(zero,multiplication(X1,X0)) = multiplication(addition(antidomain(X0),X1),X0),
inference(superposition,[],[f55,f44]) ).
fof(f77001,plain,
! [X0] : antidomain(coantidomain(X0)) = multiplication(codomain(X0),antidomain(coantidomain(X0))),
inference(backward_demodulation,[],[f10217,f76842]) ).
fof(f76842,plain,
! [X0] : antidomain(X0) = coantidomain(domain(X0)),
inference(forward_demodulation,[],[f76841,f14705]) ).
fof(f14705,plain,
! [X0] : antidomain(X0) = addition(coantidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f14660,f7493]) ).
fof(f14660,plain,
! [X0] : domain(antidomain(X0)) = addition(coantidomain(domain(X0)),domain(antidomain(X0))),
inference(superposition,[],[f14609,f45]) ).
fof(f14609,plain,
! [X0] : domain(X0) = addition(coantidomain(antidomain(X0)),domain(X0)),
inference(superposition,[],[f325,f14484]) ).
fof(f14484,plain,
! [X0] : domain(X0) = addition(domain(X0),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f14483,f40]) ).
fof(f14483,plain,
! [X0] : multiplication(domain(X0),one) = addition(domain(X0),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f14448,f367]) ).
fof(f367,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(superposition,[],[f335,f49]) ).
fof(f335,plain,
! [X0] : one = addition(coantidomain(X0),one),
inference(superposition,[],[f153,f83]) ).
fof(f14448,plain,
! [X0] : multiplication(domain(X0),addition(one,coantidomain(antidomain(X0)))) = addition(domain(X0),coantidomain(antidomain(X0))),
inference(superposition,[],[f384,f10215]) ).
fof(f10215,plain,
! [X0] : coantidomain(antidomain(X0)) = multiplication(domain(X0),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f10152,f41]) ).
fof(f10152,plain,
! [X0] : multiplication(one,coantidomain(antidomain(X0))) = multiplication(domain(X0),coantidomain(antidomain(X0))),
inference(superposition,[],[f631,f105]) ).
fof(f384,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f54,f40]) ).
fof(f325,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0)),
inference(superposition,[],[f153,f49]) ).
fof(f76841,plain,
! [X0] : coantidomain(domain(X0)) = addition(coantidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f76840,f40]) ).
fof(f76840,plain,
! [X0] : addition(coantidomain(domain(X0)),antidomain(X0)) = multiplication(coantidomain(domain(X0)),one),
inference(forward_demodulation,[],[f76771,f349]) ).
fof(f76771,plain,
! [X0] : addition(coantidomain(domain(X0)),antidomain(X0)) = multiplication(coantidomain(domain(X0)),addition(one,antidomain(X0))),
inference(superposition,[],[f384,f76173]) ).
fof(f76173,plain,
! [X0] : antidomain(X0) = multiplication(coantidomain(domain(X0)),antidomain(X0)),
inference(superposition,[],[f76086,f45]) ).
fof(f76086,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f75961,f41]) ).
fof(f75961,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(superposition,[],[f1377,f83]) ).
fof(f1377,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(X1,codomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f1361,f39]) ).
fof(f1361,plain,
! [X0,X1] : addition(multiplication(X1,X0),zero) = multiplication(addition(X1,codomain(antidomain(X0))),X0),
inference(superposition,[],[f55,f1326]) ).
fof(f1326,plain,
! [X0] : zero = multiplication(codomain(antidomain(X0)),X0),
inference(forward_demodulation,[],[f1304,f40]) ).
fof(f1304,plain,
! [X0] : zero = multiplication(codomain(antidomain(X0)),multiplication(X0,one)),
inference(superposition,[],[f266,f1267]) ).
fof(f1267,plain,
! [X0] : one = coantidomain(multiplication(codomain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f1266,f367]) ).
fof(f1266,plain,
! [X0] : coantidomain(multiplication(codomain(antidomain(X0)),X0)) = addition(one,coantidomain(multiplication(codomain(antidomain(X0)),X0))),
inference(forward_demodulation,[],[f1219,f90]) ).
fof(f90,plain,
one = coantidomain(zero),
inference(superposition,[],[f87,f39]) ).
fof(f87,plain,
one = addition(coantidomain(zero),zero),
inference(forward_demodulation,[],[f80,f60]) ).
fof(f60,plain,
zero = coantidomain(one),
inference(superposition,[],[f43,f41]) ).
fof(f80,plain,
one = addition(coantidomain(zero),coantidomain(one)),
inference(superposition,[],[f56,f69]) ).
fof(f69,plain,
coantidomain(zero) = codomain(one),
inference(superposition,[],[f46,f60]) ).
fof(f1219,plain,
! [X0] : coantidomain(multiplication(codomain(antidomain(X0)),X0)) = addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X0)),X0))),
inference(superposition,[],[f59,f44]) ).
fof(f59,plain,
! [X0,X1] : coantidomain(multiplication(codomain(X0),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),
inference(forward_demodulation,[],[f51,f46]) ).
fof(f51,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] : coantidomain(multiplication(coantidomain(coantidomain(X3)),X4)) = addition(coantidomain(multiplication(X3,X4)),coantidomain(multiplication(coantidomain(coantidomain(X3)),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain2) ).
fof(f266,plain,
! [X0,X1] : zero = multiplication(X0,multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(superposition,[],[f53,f43]) ).
fof(f53,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f10217,plain,
! [X0] : coantidomain(domain(coantidomain(X0))) = multiplication(codomain(X0),coantidomain(domain(coantidomain(X0)))),
inference(forward_demodulation,[],[f10155,f41]) ).
fof(f10155,plain,
! [X0] : multiplication(codomain(X0),coantidomain(domain(coantidomain(X0)))) = multiplication(one,coantidomain(domain(coantidomain(X0)))),
inference(superposition,[],[f631,f9463]) ).
fof(f9463,plain,
! [X0] : one = addition(domain(coantidomain(X0)),codomain(X0)),
inference(forward_demodulation,[],[f9436,f376]) ).
fof(f376,plain,
! [X0] : one = addition(one,codomain(X0)),
inference(superposition,[],[f337,f49]) ).
fof(f337,plain,
! [X0] : one = addition(codomain(X0),one),
inference(superposition,[],[f153,f56]) ).
fof(f9436,plain,
! [X0] : addition(one,codomain(X0)) = addition(domain(coantidomain(X0)),codomain(X0)),
inference(superposition,[],[f158,f9403]) ).
fof(f9403,plain,
! [X0] : codomain(X0) = addition(antidomain(coantidomain(X0)),codomain(X0)),
inference(superposition,[],[f325,f9390]) ).
fof(f9390,plain,
! [X0] : codomain(X0) = addition(codomain(X0),antidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f9389,f41]) ).
fof(f9389,plain,
! [X0] : multiplication(one,codomain(X0)) = addition(codomain(X0),antidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f9370,f349]) ).
fof(f9370,plain,
! [X0] : multiplication(addition(one,antidomain(coantidomain(X0))),codomain(X0)) = addition(codomain(X0),antidomain(coantidomain(X0))),
inference(superposition,[],[f594,f7563]) ).
fof(f7563,plain,
! [X0] : antidomain(coantidomain(X0)) = multiplication(antidomain(coantidomain(X0)),codomain(X0)),
inference(forward_demodulation,[],[f7160,f40]) ).
fof(f7160,plain,
! [X0] : multiplication(antidomain(coantidomain(X0)),one) = multiplication(antidomain(coantidomain(X0)),codomain(X0)),
inference(superposition,[],[f420,f83]) ).
fof(f420,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X0,X1)),
inference(forward_demodulation,[],[f389,f72]) ).
fof(f389,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f54,f44]) ).
fof(f594,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f55,f41]) ).
fof(f158,plain,
! [X0,X1] : addition(domain(X0),addition(antidomain(X0),X1)) = addition(one,X1),
inference(superposition,[],[f52,f57]) ).
fof(f7493,plain,
! [X0] : antidomain(X0) = domain(antidomain(X0)),
inference(backward_demodulation,[],[f65,f7492]) ).
fof(f7492,plain,
! [X0] : antidomain(X0) = antidomain(domain(X0)),
inference(forward_demodulation,[],[f7491,f859]) ).
fof(f859,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(superposition,[],[f846,f65]) ).
fof(f7491,plain,
! [X0] : antidomain(domain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f7157,f40]) ).
fof(f7157,plain,
! [X0] : multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(antidomain(domain(X0)),one),
inference(superposition,[],[f420,f57]) ).
fof(f65,plain,
! [X0] : domain(antidomain(X0)) = antidomain(domain(X0)),
inference(superposition,[],[f45,f45]) ).
fof(f36,plain,
codomain(sK0) != domain(codomain(sK0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
codomain(sK0) != domain(codomain(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).
fof(f34,plain,
( ? [X0] : codomain(X0) != domain(codomain(X0))
=> codomain(sK0) != domain(codomain(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] : codomain(X0) != domain(codomain(X0)),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : codomain(X0) = domain(codomain(X0)),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3] : codomain(X3) = domain(codomain(X3)),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3] : codomain(X3) = domain(codomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE091+1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 09:57:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (22624)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (22627)WARNING: value z3 for option sas not known
% 0.15/0.37 % (22626)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (22627)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (22625)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (22631)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37 % (22629)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37 % (22628)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.38 % (22630)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.44 TRYING [5]
% 1.37/0.54 TRYING [5]
% 1.37/0.55 TRYING [6]
% 3.03/0.78 TRYING [7]
% 3.48/0.87 TRYING [6]
% 6.57/1.35 TRYING [8]
% 7.72/1.47 TRYING [1]
% 7.72/1.47 TRYING [2]
% 7.72/1.47 TRYING [3]
% 7.72/1.48 TRYING [4]
% 8.29/1.53 TRYING [5]
% 9.23/1.67 TRYING [6]
% 12.44/2.12 TRYING [7]
% 12.44/2.16 TRYING [7]
% 13.86/2.33 % (22630)First to succeed.
% 13.94/2.33 % (22630)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22624"
% 13.94/2.34 % (22630)Refutation found. Thanks to Tanya!
% 13.94/2.34 % SZS status Theorem for theBenchmark
% 13.94/2.34 % SZS output start Proof for theBenchmark
% See solution above
% 13.94/2.34 % (22630)------------------------------
% 13.94/2.34 % (22630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 13.94/2.34 % (22630)Termination reason: Refutation
% 13.94/2.34
% 13.94/2.34 % (22630)Memory used [KB]: 28028
% 13.94/2.34 % (22630)Time elapsed: 1.970 s
% 13.94/2.34 % (22630)Instructions burned: 5121 (million)
% 13.94/2.34 % (22624)Success in time 1.986 s
%------------------------------------------------------------------------------