TSTP Solution File: KLE090+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE090+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 : n023.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 206.43s 29.81s
% Output : Refutation 206.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 16
% Syntax : Number of formulae : 127 ( 121 unt; 0 def)
% Number of atoms : 135 ( 134 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 168 ( 164 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1252589,plain,
$false,
inference(subsumption_resolution,[],[f1252453,f71]) ).
fof(f71,plain,
antidomain(sK0) != addition(antidomain(sK0),antidomain(sK1)),
inference(superposition,[],[f37,f50]) ).
fof(f50,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(f37,plain,
antidomain(sK0) != addition(antidomain(sK1),antidomain(sK0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( antidomain(sK0) != addition(antidomain(sK1),antidomain(sK0))
& sK1 = addition(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( antidomain(X0) != addition(antidomain(X1),antidomain(X0))
& addition(X0,X1) = X1 )
=> ( antidomain(sK0) != addition(antidomain(sK1),antidomain(sK0))
& sK1 = addition(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1] :
( antidomain(X0) != addition(antidomain(X1),antidomain(X0))
& addition(X0,X1) = X1 ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( addition(X0,X1) = X1
=> antidomain(X0) = addition(antidomain(X1),antidomain(X0)) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3,X4] :
( addition(X3,X4) = X4
=> antidomain(X3) = addition(antidomain(X4),antidomain(X3)) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3,X4] :
( addition(X3,X4) = X4
=> antidomain(X3) = addition(antidomain(X4),antidomain(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f1252453,plain,
antidomain(sK0) = addition(antidomain(sK0),antidomain(sK1)),
inference(superposition,[],[f47921,f1252290]) ).
fof(f1252290,plain,
antidomain(sK1) = multiplication(antidomain(sK1),antidomain(sK0)),
inference(forward_demodulation,[],[f1252289,f41]) ).
fof(f41,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(f1252289,plain,
multiplication(antidomain(sK1),one) = multiplication(antidomain(sK1),antidomain(sK0)),
inference(forward_demodulation,[],[f1252288,f1300]) ).
fof(f1300,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f1268,f40]) ).
fof(f40,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(f1268,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f55,f45]) ).
fof(f45,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(f55,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(f1252288,plain,
multiplication(antidomain(sK1),addition(one,sK1)) = multiplication(antidomain(sK1),antidomain(sK0)),
inference(forward_demodulation,[],[f1252085,f1289]) ).
fof(f1289,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f1258,f63]) ).
fof(f63,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f50,f40]) ).
fof(f1258,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f55,f45]) ).
fof(f1252085,plain,
multiplication(antidomain(sK1),addition(one,sK1)) = multiplication(antidomain(sK1),addition(sK1,antidomain(sK0))),
inference(superposition,[],[f29491,f10580]) ).
fof(f10580,plain,
! [X0] : addition(one,sK1) = addition(antidomain(antidomain(X0)),addition(sK1,antidomain(X0))),
inference(superposition,[],[f6451,f49]) ).
fof(f49,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(f6451,plain,
! [X0,X1] : addition(addition(X0,X1),sK1) = addition(X0,addition(sK1,X1)),
inference(forward_demodulation,[],[f6105,f6334]) ).
fof(f6334,plain,
! [X0,X1] : addition(X1,addition(sK1,X0)) = addition(sK1,addition(X0,addition(sK1,X1))),
inference(forward_demodulation,[],[f5939,f53]) ).
fof(f53,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(f5939,plain,
! [X0,X1] : addition(X1,addition(sK1,X0)) = addition(sK1,addition(addition(X0,sK1),X1)),
inference(superposition,[],[f134,f2254]) ).
fof(f2254,plain,
! [X0] : addition(sK1,X0) = addition(sK1,addition(X0,sK1)),
inference(forward_demodulation,[],[f2253,f133]) ).
fof(f133,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f53,f43]) ).
fof(f43,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(f2253,plain,
! [X0] : addition(sK1,addition(X0,sK1)) = addition(sK1,addition(X0,addition(sK1,X0))),
inference(forward_demodulation,[],[f2252,f53]) ).
fof(f2252,plain,
! [X0] : addition(sK1,addition(X0,addition(sK1,X0))) = addition(addition(sK1,X0),sK1),
inference(forward_demodulation,[],[f2251,f157]) ).
fof(f157,plain,
! [X0,X1] : addition(X0,addition(sK1,X1)) = addition(sK0,addition(X0,addition(sK1,X1))),
inference(forward_demodulation,[],[f156,f53]) ).
fof(f156,plain,
! [X0,X1] : addition(addition(X0,sK1),X1) = addition(sK0,addition(addition(X0,sK1),X1)),
inference(superposition,[],[f53,f146]) ).
fof(f146,plain,
! [X0] : addition(X0,sK1) = addition(sK0,addition(X0,sK1)),
inference(superposition,[],[f131,f50]) ).
fof(f131,plain,
! [X0] : addition(sK1,X0) = addition(sK0,addition(sK1,X0)),
inference(superposition,[],[f53,f36]) ).
fof(f36,plain,
sK1 = addition(sK0,sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f2251,plain,
! [X0] : addition(addition(sK1,X0),sK1) = addition(sK1,addition(sK0,addition(X0,addition(sK1,X0)))),
inference(forward_demodulation,[],[f2131,f53]) ).
fof(f2131,plain,
! [X0] : addition(addition(sK1,X0),sK1) = addition(sK1,addition(addition(sK0,X0),addition(sK1,X0))),
inference(superposition,[],[f1237,f1024]) ).
fof(f1024,plain,
! [X0] : addition(sK1,X0) = addition(addition(sK1,X0),addition(sK0,X0)),
inference(superposition,[],[f912,f50]) ).
fof(f912,plain,
! [X0] : addition(sK1,X0) = addition(addition(sK1,X0),addition(X0,sK0)),
inference(superposition,[],[f845,f50]) ).
fof(f845,plain,
! [X0] : addition(sK1,X0) = addition(addition(X0,sK0),addition(sK1,X0)),
inference(superposition,[],[f159,f811]) ).
fof(f811,plain,
! [X0] : addition(sK1,X0) = addition(sK1,addition(X0,sK0)),
inference(superposition,[],[f729,f50]) ).
fof(f729,plain,
! [X0] : addition(sK1,X0) = addition(sK1,addition(sK0,X0)),
inference(superposition,[],[f121,f36]) ).
fof(f121,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(superposition,[],[f53,f50]) ).
fof(f159,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0)),
inference(superposition,[],[f120,f50]) ).
fof(f120,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f53,f43]) ).
fof(f1237,plain,
! [X0,X1] : addition(addition(X0,X1),sK1) = addition(sK1,addition(X1,X0)),
inference(forward_demodulation,[],[f1219,f838]) ).
fof(f838,plain,
! [X0,X1] : addition(sK1,addition(X0,X1)) = addition(sK1,addition(X1,addition(X0,sK0))),
inference(superposition,[],[f811,f121]) ).
fof(f1219,plain,
! [X0,X1] : addition(addition(X0,X1),sK1) = addition(sK1,addition(X0,addition(X1,sK0))),
inference(superposition,[],[f1115,f53]) ).
fof(f1115,plain,
! [X0] : addition(X0,sK1) = addition(sK1,addition(X0,sK0)),
inference(superposition,[],[f1105,f50]) ).
fof(f1105,plain,
! [X0] : addition(X0,sK1) = addition(sK1,addition(sK0,X0)),
inference(forward_demodulation,[],[f1079,f159]) ).
fof(f1079,plain,
! [X0] : addition(X0,sK1) = addition(sK1,addition(X0,addition(sK0,X0))),
inference(superposition,[],[f958,f121]) ).
fof(f958,plain,
! [X0] : addition(X0,sK1) = addition(addition(X0,sK1),addition(sK0,X0)),
inference(superposition,[],[f867,f50]) ).
fof(f867,plain,
! [X0] : addition(X0,sK1) = addition(addition(sK0,X0),addition(X0,sK1)),
inference(superposition,[],[f818,f50]) ).
fof(f818,plain,
! [X0] : addition(sK1,X0) = addition(addition(sK0,X0),addition(sK1,X0)),
inference(superposition,[],[f159,f729]) ).
fof(f134,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f53,f50]) ).
fof(f6105,plain,
! [X0,X1] : addition(addition(X0,X1),sK1) = addition(sK1,addition(X1,addition(sK1,X0))),
inference(superposition,[],[f1689,f134]) ).
fof(f1689,plain,
! [X0] : addition(X0,sK1) = addition(sK1,addition(sK1,X0)),
inference(forward_demodulation,[],[f1657,f159]) ).
fof(f1657,plain,
! [X0] : addition(X0,sK1) = addition(sK1,addition(X0,addition(sK1,X0))),
inference(superposition,[],[f1096,f121]) ).
fof(f1096,plain,
! [X0] : addition(X0,sK1) = addition(addition(X0,sK1),addition(sK1,X0)),
inference(forward_demodulation,[],[f1095,f159]) ).
fof(f1095,plain,
! [X0] : addition(sK1,addition(X0,sK1)) = addition(addition(sK1,addition(X0,sK1)),addition(sK1,X0)),
inference(forward_demodulation,[],[f1071,f53]) ).
fof(f1071,plain,
! [X0] : addition(addition(sK1,X0),sK1) = addition(addition(addition(sK1,X0),sK1),addition(sK1,X0)),
inference(superposition,[],[f958,f131]) ).
fof(f29491,plain,
! [X0] : multiplication(antidomain(sK1),X0) = multiplication(antidomain(sK1),addition(antidomain(antidomain(sK0)),X0)),
inference(forward_demodulation,[],[f29471,f63]) ).
fof(f29471,plain,
! [X0] : addition(zero,multiplication(antidomain(sK1),X0)) = multiplication(antidomain(sK1),addition(antidomain(antidomain(sK0)),X0)),
inference(superposition,[],[f55,f29376]) ).
fof(f29376,plain,
zero = multiplication(antidomain(sK1),antidomain(antidomain(sK0))),
inference(forward_demodulation,[],[f29375,f39]) ).
fof(f39,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(f29375,plain,
multiplication(antidomain(sK1),antidomain(antidomain(sK0))) = multiplication(zero,multiplication(antidomain(sK1),antidomain(antidomain(sK0)))),
inference(forward_demodulation,[],[f29296,f60]) ).
fof(f60,plain,
zero = antidomain(one),
inference(superposition,[],[f45,f41]) ).
fof(f29296,plain,
multiplication(antidomain(sK1),antidomain(antidomain(sK0))) = multiplication(antidomain(one),multiplication(antidomain(sK1),antidomain(antidomain(sK0)))),
inference(superposition,[],[f10298,f28095]) ).
fof(f28095,plain,
one = antidomain(multiplication(antidomain(sK1),antidomain(antidomain(sK0)))),
inference(forward_demodulation,[],[f28094,f183]) ).
fof(f183,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(superposition,[],[f166,f50]) ).
fof(f166,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f120,f93]) ).
fof(f93,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f49,f50]) ).
fof(f28094,plain,
antidomain(multiplication(antidomain(sK1),antidomain(antidomain(sK0)))) = addition(one,antidomain(multiplication(antidomain(sK1),antidomain(antidomain(sK0))))),
inference(forward_demodulation,[],[f28079,f97]) ).
fof(f97,plain,
one = antidomain(zero),
inference(superposition,[],[f92,f40]) ).
fof(f92,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f49,f60]) ).
fof(f28079,plain,
antidomain(multiplication(antidomain(sK1),antidomain(antidomain(sK0)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(sK1),antidomain(antidomain(sK0))))),
inference(superposition,[],[f52,f28056]) ).
fof(f28056,plain,
zero = multiplication(antidomain(sK1),sK0),
inference(forward_demodulation,[],[f28055,f45]) ).
fof(f28055,plain,
multiplication(antidomain(sK1),sK1) = multiplication(antidomain(sK1),sK0),
inference(forward_demodulation,[],[f27859,f1301]) ).
fof(f1301,plain,
! [X2,X0,X1] : multiplication(antidomain(X0),X2) = multiplication(antidomain(X0),addition(X2,multiplication(X0,X1))),
inference(forward_demodulation,[],[f1269,f40]) ).
fof(f1269,plain,
! [X2,X0,X1] : multiplication(antidomain(X0),addition(X2,multiplication(X0,X1))) = addition(multiplication(antidomain(X0),X2),zero),
inference(superposition,[],[f55,f625]) ).
fof(f625,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f613,f39]) ).
fof(f613,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f54,f45]) ).
fof(f54,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(f27859,plain,
! [X0] : multiplication(antidomain(sK1),sK1) = multiplication(antidomain(sK1),addition(sK0,multiplication(sK1,coantidomain(X0)))),
inference(superposition,[],[f1289,f13020]) ).
fof(f13020,plain,
! [X0] : sK1 = addition(sK1,addition(sK0,multiplication(sK1,coantidomain(X0)))),
inference(forward_demodulation,[],[f12966,f50]) ).
fof(f12966,plain,
! [X0] : sK1 = addition(sK1,addition(multiplication(sK1,coantidomain(X0)),sK0)),
inference(superposition,[],[f912,f12578]) ).
fof(f12578,plain,
! [X0,X1] : addition(X1,multiplication(X1,coantidomain(X0))) = X1,
inference(forward_demodulation,[],[f12482,f41]) ).
fof(f12482,plain,
! [X0,X1] : multiplication(X1,one) = addition(X1,multiplication(X1,coantidomain(X0))),
inference(superposition,[],[f1253,f191]) ).
fof(f191,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(superposition,[],[f169,f50]) ).
fof(f169,plain,
! [X0] : one = addition(coantidomain(X0),one),
inference(superposition,[],[f120,f74]) ).
fof(f74,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f48,f50]) ).
fof(f48,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(f1253,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f55,f41]) ).
fof(f52,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f31]) ).
fof(f31,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(f10298,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f10270,f42]) ).
fof(f42,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(f10270,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f7197,f93]) ).
fof(f7197,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f7152,f63]) ).
fof(f7152,plain,
! [X0,X1] : addition(zero,multiplication(X1,X0)) = multiplication(addition(antidomain(X0),X1),X0),
inference(superposition,[],[f56,f45]) ).
fof(f56,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(f47921,plain,
! [X0,X1] : addition(X1,multiplication(antidomain(X0),X1)) = X1,
inference(forward_demodulation,[],[f47663,f42]) ).
fof(f47663,plain,
! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f7151,f183]) ).
fof(f7151,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f56,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE090+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 10:00:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (17589)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (17592)WARNING: value z3 for option sas not known
% 0.13/0.36 % (17596)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)
% 0.13/0.36 % (17591)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (17593)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (17590)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (17592)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)
% 0.13/0.37 % (17594)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)
% 0.13/0.37 % (17595)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [3]
% 0.20/0.43 TRYING [4]
% 0.20/0.44 TRYING [5]
% 0.20/0.52 TRYING [5]
% 0.20/0.54 TRYING [6]
% 2.60/0.74 TRYING [6]
% 3.04/0.81 TRYING [7]
% 6.22/1.27 TRYING [7]
% 6.90/1.33 TRYING [8]
% 7.41/1.47 TRYING [1]
% 7.41/1.47 TRYING [2]
% 7.93/1.47 TRYING [3]
% 7.93/1.48 TRYING [4]
% 8.29/1.53 TRYING [5]
% 9.00/1.65 TRYING [6]
% 11.60/2.00 TRYING [7]
% 13.83/2.39 TRYING [9]
% 15.94/2.64 TRYING [8]
% 16.61/2.77 TRYING [8]
% 30.77/4.79 TRYING [10]
% 33.55/5.21 TRYING [9]
% 49.12/7.41 TRYING [9]
% 60.75/9.05 TRYING [10]
% 65.10/9.61 TRYING [11]
% 106.60/15.59 TRYING [11]
% 205.79/29.78 % (17596)First to succeed.
% 205.79/29.78 % (17596)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17589"
% 206.43/29.81 % (17596)Refutation found. Thanks to Tanya!
% 206.43/29.81 % SZS status Theorem for theBenchmark
% 206.43/29.81 % SZS output start Proof for theBenchmark
% See solution above
% 206.43/29.81 % (17596)------------------------------
% 206.43/29.81 % (17596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 206.43/29.81 % (17596)Termination reason: Refutation
% 206.43/29.81
% 206.43/29.81 % (17596)Memory used [KB]: 252569
% 206.43/29.81 % (17596)Time elapsed: 29.412 s
% 206.43/29.81 % (17596)Instructions burned: 80126 (million)
% 206.43/29.81 % (17589)Success in time 29.295 s
%------------------------------------------------------------------------------