TSTP Solution File: KLE080+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE080+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Tue Apr 30 13:11:52 EDT 2024
% Result : Theorem 28.96s 4.48s
% Output : Refutation 28.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 17
% Syntax : Number of formulae : 170 ( 164 unt; 0 def)
% Number of atoms : 185 ( 184 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 23 ( 8 ~; 0 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 233 ( 231 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228677,plain,
$false,
inference(trivial_inequality_removal,[],[f228512]) ).
fof(f228512,plain,
domain(sK0) != domain(sK0),
inference(superposition,[],[f31,f224120]) ).
fof(f224120,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(backward_demodulation,[],[f200173,f223754]) ).
fof(f223754,plain,
! [X0] : domain(X0) = multiplication(antidomain(antidomain(X0)),domain(X0)),
inference(superposition,[],[f223210,f17100]) ).
fof(f17100,plain,
! [X0] : antidomain(X0) = antidomain(domain(X0)),
inference(forward_demodulation,[],[f17099,f36]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f17099,plain,
! [X0] : antidomain(domain(X0)) = multiplication(antidomain(X0),one),
inference(forward_demodulation,[],[f17098,f6599]) ).
fof(f6599,plain,
! [X0] : antidomain(domain(X0)) = addition(antidomain(X0),antidomain(domain(X0))),
inference(superposition,[],[f6460,f41]) ).
fof(f41,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f6460,plain,
! [X0] : antidomain(domain(X0)) = addition(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f6459,f36]) ).
fof(f6459,plain,
! [X0] : multiplication(antidomain(domain(X0)),one) = addition(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f6382,f454]) ).
fof(f454,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f433,f29]) ).
fof(f29,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( domain(sK0) != antidomain(antidomain(sK0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).
fof(f27,plain,
( ? [X0] :
( domain(X0) != antidomain(antidomain(X0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) )
=> ( domain(sK0) != antidomain(antidomain(sK0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] :
( domain(X0) != antidomain(antidomain(X0))
& ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0] :
( ! [X1] :
( zero = multiplication(domain(X1),antidomain(X1))
& one = addition(domain(X1),antidomain(X1)) )
=> domain(X0) = antidomain(antidomain(X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] :
( ! [X4] :
( zero = multiplication(domain(X4),antidomain(X4))
& one = addition(domain(X4),antidomain(X4)) )
=> domain(X3) = antidomain(antidomain(X3)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] :
( ! [X4] :
( zero = multiplication(domain(X4),antidomain(X4))
& one = addition(domain(X4),antidomain(X4)) )
=> domain(X3) = antidomain(antidomain(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f433,plain,
! [X0] : addition(domain(X0),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f172,f38]) ).
fof(f38,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f172,plain,
! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(antidomain(X0),X1)),
inference(superposition,[],[f44,f29]) ).
fof(f44,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f6382,plain,
! [X0] : addition(antidomain(domain(X0)),antidomain(X0)) = multiplication(antidomain(domain(X0)),addition(one,antidomain(X0))),
inference(superposition,[],[f548,f1245]) ).
fof(f1245,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f1216,f37]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f1216,plain,
! [X0] : multiplication(one,antidomain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(superposition,[],[f1001,f119]) ).
fof(f119,plain,
! [X0] : one = addition(domain(X0),antidomain(domain(X0))),
inference(superposition,[],[f29,f90]) ).
fof(f90,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f82,f37]) ).
fof(f82,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f43,f37]) ).
fof(f43,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f1001,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = multiplication(X1,antidomain(X0)),
inference(forward_demodulation,[],[f971,f51]) ).
fof(f51,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f41,f35]) ).
fof(f35,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f971,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = addition(zero,multiplication(X1,antidomain(X0))),
inference(superposition,[],[f47,f30]) ).
fof(f30,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f28]) ).
fof(f47,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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f548,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f46,f36]) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f17098,plain,
! [X0] : multiplication(antidomain(X0),one) = addition(antidomain(X0),antidomain(domain(X0))),
inference(forward_demodulation,[],[f17019,f454]) ).
fof(f17019,plain,
! [X0] : addition(antidomain(X0),antidomain(domain(X0))) = multiplication(antidomain(X0),addition(one,antidomain(domain(X0)))),
inference(superposition,[],[f548,f16033]) ).
fof(f16033,plain,
! [X0] : antidomain(domain(X0)) = multiplication(antidomain(X0),antidomain(domain(X0))),
inference(superposition,[],[f14084,f8707]) ).
fof(f8707,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f8706,f37]) ).
fof(f8706,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f8613,f52]) ).
fof(f52,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f41,f39]) ).
fof(f39,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f8613,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f970,f40]) ).
fof(f40,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f970,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f47,f37]) ).
fof(f14084,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(forward_demodulation,[],[f14022,f37]) ).
fof(f14022,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f1010,f13695]) ).
fof(f13695,plain,
! [X0,X1] : one = addition(antidomain(multiplication(X0,X1)),domain(X0)),
inference(forward_demodulation,[],[f13591,f412]) ).
fof(f412,plain,
! [X0,X1] : domain(X1) = domain(multiplication(X1,addition(one,X0))),
inference(forward_demodulation,[],[f397,f36]) ).
fof(f397,plain,
! [X0,X1] : domain(multiplication(X1,one)) = domain(multiplication(X1,addition(one,X0))),
inference(superposition,[],[f43,f107]) ).
fof(f107,plain,
! [X0] : one = domain(addition(one,X0)),
inference(forward_demodulation,[],[f103,f52]) ).
fof(f103,plain,
! [X0] : addition(one,domain(X0)) = domain(addition(one,X0)),
inference(superposition,[],[f42,f97]) ).
fof(f97,plain,
one = domain(one),
inference(forward_demodulation,[],[f96,f52]) ).
fof(f96,plain,
domain(one) = addition(one,domain(one)),
inference(superposition,[],[f40,f36]) ).
fof(f42,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f13591,plain,
! [X0,X1] : one = addition(antidomain(multiplication(X0,X1)),domain(multiplication(X0,addition(one,X1)))),
inference(superposition,[],[f13162,f548]) ).
fof(f13162,plain,
! [X0,X1] : one = addition(antidomain(X0),domain(addition(X1,X0))),
inference(forward_demodulation,[],[f13080,f52]) ).
fof(f13080,plain,
! [X0,X1] : addition(one,domain(X1)) = addition(antidomain(X0),domain(addition(X1,X0))),
inference(superposition,[],[f4795,f73]) ).
fof(f73,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
inference(superposition,[],[f42,f41]) ).
fof(f4795,plain,
! [X0,X1] : addition(one,X1) = addition(antidomain(X0),addition(domain(X0),X1)),
inference(superposition,[],[f164,f29]) ).
fof(f164,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(superposition,[],[f44,f41]) ).
fof(f1010,plain,
! [X0,X1] : multiplication(X1,antidomain(X0)) = multiplication(addition(X1,domain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f982,f35]) ).
fof(f982,plain,
! [X0,X1] : multiplication(addition(X1,domain(X0)),antidomain(X0)) = addition(multiplication(X1,antidomain(X0)),zero),
inference(superposition,[],[f47,f30]) ).
fof(f223210,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f222957,f37]) ).
fof(f222957,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f36832,f13155]) ).
fof(f13155,plain,
! [X0] : one = addition(antidomain(X0),domain(X0)),
inference(forward_demodulation,[],[f13065,f52]) ).
fof(f13065,plain,
! [X0] : addition(one,domain(X0)) = addition(antidomain(X0),domain(X0)),
inference(superposition,[],[f4795,f38]) ).
fof(f36832,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(X1,domain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f36723,f35]) ).
fof(f36723,plain,
! [X0,X1] : addition(multiplication(X1,X0),zero) = multiplication(addition(X1,domain(antidomain(X0))),X0),
inference(superposition,[],[f47,f36612]) ).
fof(f36612,plain,
! [X0] : zero = multiplication(domain(antidomain(X0)),X0),
inference(forward_demodulation,[],[f36482,f34]) ).
fof(f34,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f36482,plain,
! [X0] : multiplication(domain(antidomain(X0)),X0) = multiplication(zero,multiplication(domain(antidomain(X0)),X0)),
inference(superposition,[],[f8707,f36087]) ).
fof(f36087,plain,
! [X0] : zero = domain(multiplication(domain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f35936,f32]) ).
fof(f32,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
zero = domain(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f35936,plain,
! [X0] : domain(zero) = domain(multiplication(domain(antidomain(X0)),X0)),
inference(superposition,[],[f43,f35524]) ).
fof(f35524,plain,
! [X0] : zero = multiplication(domain(antidomain(X0)),domain(X0)),
inference(superposition,[],[f12514,f35272]) ).
fof(f35272,plain,
! [X0] : domain(X0) = domain(antidomain(antidomain(X0))),
inference(backward_demodulation,[],[f9612,f35271]) ).
fof(f35271,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f35270,f90]) ).
fof(f35270,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(domain(domain(X0)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f35269,f37]) ).
fof(f35269,plain,
! [X0] : multiplication(domain(domain(X0)),antidomain(antidomain(X0))) = multiplication(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f35039,f97]) ).
fof(f35039,plain,
! [X0] : multiplication(domain(domain(X0)),antidomain(antidomain(X0))) = multiplication(domain(one),antidomain(antidomain(X0))),
inference(superposition,[],[f1214,f13155]) ).
fof(f1214,plain,
! [X0,X1] : multiplication(domain(X1),antidomain(X0)) = multiplication(domain(addition(X0,X1)),antidomain(X0)),
inference(superposition,[],[f1001,f42]) ).
fof(f9612,plain,
! [X0] : domain(X0) = domain(multiplication(domain(X0),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f9541,f90]) ).
fof(f9541,plain,
! [X0] : domain(domain(X0)) = domain(multiplication(domain(X0),antidomain(antidomain(X0)))),
inference(superposition,[],[f3447,f578]) ).
fof(f578,plain,
! [X0,X1] : multiplication(domain(X0),addition(antidomain(X0),X1)) = multiplication(domain(X0),X1),
inference(forward_demodulation,[],[f552,f51]) ).
fof(f552,plain,
! [X0,X1] : multiplication(domain(X0),addition(antidomain(X0),X1)) = addition(zero,multiplication(domain(X0),X1)),
inference(superposition,[],[f46,f30]) ).
fof(f3447,plain,
! [X0,X1] : domain(X1) = domain(multiplication(X1,addition(X0,antidomain(X0)))),
inference(forward_demodulation,[],[f3386,f36]) ).
fof(f3386,plain,
! [X0,X1] : domain(multiplication(X1,one)) = domain(multiplication(X1,addition(X0,antidomain(X0)))),
inference(superposition,[],[f43,f3306]) ).
fof(f3306,plain,
! [X0] : one = domain(addition(X0,antidomain(X0))),
inference(superposition,[],[f3242,f35]) ).
fof(f3242,plain,
! [X0] : one = addition(domain(addition(X0,antidomain(X0))),zero),
inference(forward_demodulation,[],[f3241,f1992]) ).
fof(f1992,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(X1,X0)),
inference(superposition,[],[f1701,f1145]) ).
fof(f1145,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(multiplication(domain(X0),X0),X1)),
inference(forward_demodulation,[],[f1116,f42]) ).
fof(f1116,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(multiplication(domain(X0),X0),X1)),
inference(superposition,[],[f42,f1088]) ).
fof(f1088,plain,
! [X0] : domain(X0) = domain(multiplication(domain(X0),X0)),
inference(forward_demodulation,[],[f1080,f90]) ).
fof(f1080,plain,
! [X0] : domain(domain(X0)) = domain(multiplication(domain(X0),X0)),
inference(superposition,[],[f43,f1061]) ).
fof(f1061,plain,
! [X0] : domain(X0) = multiplication(domain(X0),domain(X0)),
inference(forward_demodulation,[],[f1033,f36]) ).
fof(f1033,plain,
! [X0] : multiplication(domain(X0),domain(X0)) = multiplication(domain(X0),one),
inference(superposition,[],[f588,f29]) ).
fof(f588,plain,
! [X0,X1] : multiplication(domain(X0),X1) = multiplication(domain(X0),addition(X1,antidomain(X0))),
inference(forward_demodulation,[],[f561,f35]) ).
fof(f561,plain,
! [X0,X1] : multiplication(domain(X0),addition(X1,antidomain(X0))) = addition(multiplication(domain(X0),X1),zero),
inference(superposition,[],[f46,f30]) ).
fof(f1701,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(multiplication(domain(X1),X1),X0)),
inference(superposition,[],[f1144,f41]) ).
fof(f1144,plain,
! [X0,X1] : domain(addition(X1,X0)) = domain(addition(X1,multiplication(domain(X0),X0))),
inference(forward_demodulation,[],[f1115,f42]) ).
fof(f1115,plain,
! [X0,X1] : addition(domain(X1),domain(X0)) = domain(addition(X1,multiplication(domain(X0),X0))),
inference(superposition,[],[f42,f1088]) ).
fof(f3241,plain,
! [X0] : one = addition(domain(addition(antidomain(X0),X0)),zero),
inference(forward_demodulation,[],[f3240,f126]) ).
fof(f126,plain,
! [X0,X1] : domain(addition(X1,X0)) = domain(addition(X1,domain(X0))),
inference(forward_demodulation,[],[f123,f42]) ).
fof(f123,plain,
! [X0,X1] : addition(domain(X1),domain(X0)) = domain(addition(X1,domain(X0))),
inference(superposition,[],[f42,f90]) ).
fof(f3240,plain,
! [X0] : one = addition(domain(addition(antidomain(X0),domain(X0))),zero),
inference(forward_demodulation,[],[f3136,f108]) ).
fof(f108,plain,
zero = antidomain(one),
inference(superposition,[],[f99,f37]) ).
fof(f99,plain,
zero = multiplication(one,antidomain(one)),
inference(superposition,[],[f30,f97]) ).
fof(f3136,plain,
! [X0] : one = addition(domain(addition(antidomain(X0),domain(X0))),antidomain(one)),
inference(superposition,[],[f2115,f29]) ).
fof(f2115,plain,
! [X0,X1] : one = addition(domain(addition(X1,X0)),antidomain(addition(X0,X1))),
inference(superposition,[],[f29,f1992]) ).
fof(f12514,plain,
! [X0] : zero = multiplication(domain(X0),domain(antidomain(X0))),
inference(forward_demodulation,[],[f12432,f34]) ).
fof(f12432,plain,
! [X0] : multiplication(domain(X0),domain(antidomain(X0))) = multiplication(zero,multiplication(domain(X0),domain(antidomain(X0)))),
inference(superposition,[],[f8707,f10935]) ).
fof(f10935,plain,
! [X0] : zero = domain(multiplication(domain(X0),domain(antidomain(X0)))),
inference(forward_demodulation,[],[f10934,f32]) ).
fof(f10934,plain,
! [X0] : domain(zero) = domain(multiplication(domain(X0),domain(antidomain(X0)))),
inference(forward_demodulation,[],[f10933,f33]) ).
fof(f33,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f10933,plain,
! [X0] : domain(multiplication(domain(X0),domain(antidomain(X0)))) = domain(multiplication(domain(multiplication(domain(X0),domain(antidomain(X0)))),zero)),
inference(forward_demodulation,[],[f10807,f108]) ).
fof(f10807,plain,
! [X0] : domain(multiplication(domain(X0),domain(antidomain(X0)))) = domain(multiplication(domain(multiplication(domain(X0),domain(antidomain(X0)))),antidomain(one))),
inference(superposition,[],[f9612,f707]) ).
fof(f707,plain,
! [X0] : one = antidomain(multiplication(domain(X0),domain(antidomain(X0)))),
inference(superposition,[],[f678,f51]) ).
fof(f678,plain,
! [X0] : one = addition(zero,antidomain(multiplication(domain(X0),domain(antidomain(X0))))),
inference(forward_demodulation,[],[f653,f32]) ).
fof(f653,plain,
! [X0] : one = addition(domain(zero),antidomain(multiplication(domain(X0),domain(antidomain(X0))))),
inference(superposition,[],[f83,f30]) ).
fof(f83,plain,
! [X0,X1] : one = addition(domain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(superposition,[],[f29,f43]) ).
fof(f200173,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(antidomain(antidomain(X0)),domain(X0)),
inference(forward_demodulation,[],[f200172,f17100]) ).
fof(f200172,plain,
! [X0] : antidomain(domain(antidomain(X0))) = multiplication(antidomain(domain(antidomain(X0))),domain(X0)),
inference(forward_demodulation,[],[f199881,f36]) ).
fof(f199881,plain,
! [X0] : multiplication(antidomain(domain(antidomain(X0))),domain(X0)) = multiplication(antidomain(domain(antidomain(X0))),one),
inference(superposition,[],[f105725,f38748]) ).
fof(f38748,plain,
! [X0] : one = addition(domain(antidomain(X0)),domain(X0)),
inference(forward_demodulation,[],[f38627,f52]) ).
fof(f38627,plain,
! [X0] : addition(one,domain(X0)) = addition(domain(antidomain(X0)),domain(X0)),
inference(superposition,[],[f434,f37323]) ).
fof(f37323,plain,
! [X0] : domain(X0) = addition(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f37322,f36]) ).
fof(f37322,plain,
! [X0] : multiplication(domain(X0),one) = addition(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f37211,f454]) ).
fof(f37211,plain,
! [X0] : multiplication(domain(X0),addition(one,antidomain(antidomain(X0)))) = addition(domain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f548,f35271]) ).
fof(f434,plain,
! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(X1,antidomain(X0))),
inference(superposition,[],[f172,f41]) ).
fof(f105725,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X0,X1)),
inference(forward_demodulation,[],[f105611,f51]) ).
fof(f105611,plain,
! [X0,X1] : addition(zero,multiplication(antidomain(X0),X1)) = multiplication(antidomain(X0),addition(X0,X1)),
inference(superposition,[],[f46,f105381]) ).
fof(f105381,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(forward_demodulation,[],[f105197,f34]) ).
fof(f105197,plain,
! [X0] : multiplication(antidomain(X0),X0) = multiplication(zero,multiplication(antidomain(X0),X0)),
inference(superposition,[],[f8707,f104949]) ).
fof(f104949,plain,
! [X0] : zero = domain(multiplication(antidomain(X0),X0)),
inference(forward_demodulation,[],[f104679,f32]) ).
fof(f104679,plain,
! [X0] : domain(zero) = domain(multiplication(antidomain(X0),X0)),
inference(superposition,[],[f35275,f39076]) ).
fof(f39076,plain,
! [X0] : zero = multiplication(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f38755,f35286]) ).
fof(f35286,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(backward_demodulation,[],[f17846,f35271]) ).
fof(f17846,plain,
! [X0] : antidomain(X0) = antidomain(multiplication(domain(X0),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f17515,f17100]) ).
fof(f17515,plain,
! [X0] : antidomain(domain(X0)) = antidomain(multiplication(domain(X0),antidomain(antidomain(X0)))),
inference(superposition,[],[f17100,f9612]) ).
fof(f38755,plain,
! [X0] : zero = multiplication(antidomain(antidomain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f38634,f30]) ).
fof(f38634,plain,
! [X0] : multiplication(domain(X0),antidomain(X0)) = multiplication(antidomain(antidomain(X0)),antidomain(X0)),
inference(superposition,[],[f1001,f37323]) ).
fof(f35275,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,antidomain(antidomain(X0)))),
inference(backward_demodulation,[],[f10950,f35271]) ).
fof(f10950,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,multiplication(domain(X0),antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f10821,f43]) ).
fof(f10821,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,multiplication(domain(X0),antidomain(antidomain(X0))))),
inference(superposition,[],[f43,f9612]) ).
fof(f31,plain,
domain(sK0) != antidomain(antidomain(sK0)),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE080+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:53:33 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (6898)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6901)WARNING: value z3 for option sas not known
% 0.14/0.38 % (6902)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (6899)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (6900)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (6901)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)
% 0.14/0.38 % (6904)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)
% 0.14/0.38 % (6903)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 % (6905)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)
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [3]
% 0.21/0.42 TRYING [5]
% 0.21/0.44 TRYING [4]
% 0.21/0.51 TRYING [6]
% 0.21/0.53 TRYING [5]
% 2.03/0.65 TRYING [7]
% 2.52/0.73 TRYING [6]
% 4.12/0.95 TRYING [8]
% 6.20/1.28 TRYING [7]
% 7.90/1.47 TRYING [1]
% 7.90/1.47 TRYING [2]
% 7.90/1.48 TRYING [3]
% 8.00/1.48 TRYING [4]
% 8.20/1.52 TRYING [5]
% 8.93/1.62 TRYING [6]
% 8.93/1.63 TRYING [9]
% 10.34/1.89 TRYING [7]
% 15.14/2.57 TRYING [8]
% 19.97/3.18 TRYING [8]
% 20.63/3.28 TRYING [10]
% 25.80/4.05 TRYING [9]
% 28.96/4.47 % (6904)First to succeed.
% 28.96/4.48 % (6904)Refutation found. Thanks to Tanya!
% 28.96/4.48 % SZS status Theorem for theBenchmark
% 28.96/4.48 % SZS output start Proof for theBenchmark
% See solution above
% 28.96/4.48 % (6904)------------------------------
% 28.96/4.48 % (6904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 28.96/4.48 % (6904)Termination reason: Refutation
% 28.96/4.48
% 28.96/4.48 % (6904)Memory used [KB]: 64710
% 28.96/4.48 % (6904)Time elapsed: 4.098 s
% 28.96/4.48 % (6904)Instructions burned: 12907 (million)
% 28.96/4.48 % (6904)------------------------------
% 28.96/4.48 % (6904)------------------------------
% 28.96/4.48 % (6898)Success in time 4.049 s
%------------------------------------------------------------------------------