TSTP Solution File: KLE080+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE080+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Wed May 31 12:15:44 EDT 2023
% Result : Theorem 15.05s 2.31s
% Output : CNFRefutation 15.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 16
% Syntax : Number of formulae : 156 ( 151 unt; 0 def)
% Number of atoms : 166 ( 165 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 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 : 229 (; 227 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : addition(A,zero) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : multiplication(zero,A) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> antidomain(antidomain(X0)) = domain(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> antidomain(antidomain(X0)) = domain(X0) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f22,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f30,plain,
! [X0] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f35,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f36,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f37,plain,
! [X0] : addition(domain(X0),one) = one,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f38,plain,
domain(zero) = zero,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f39,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f40,plain,
? [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
& antidomain(antidomain(X0)) != domain(X0) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
( ! [X1] : addition(domain(X1),antidomain(X1)) = one
& ! [X1] : multiplication(domain(X1),antidomain(X1)) = zero
& ? [X0] : antidomain(antidomain(X0)) != domain(X0) ),
inference(miniscoping,[status(esa)],[f40]) ).
fof(f42,plain,
( ! [X1] : addition(domain(X1),antidomain(X1)) = one
& ! [X1] : multiplication(domain(X1),antidomain(X1)) = zero
& antidomain(antidomain(sk0_0)) != domain(sk0_0) ),
inference(skolemization,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0] : addition(domain(X0),antidomain(X0)) = one,
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X0] : multiplication(domain(X0),antidomain(X0)) = zero,
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f45,plain,
antidomain(antidomain(sk0_0)) != domain(sk0_0),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f46,plain,
! [X0] : X0 = addition(zero,X0),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f51,plain,
addition(zero,antidomain(zero)) = one,
inference(paramodulation,[status(thm)],[f38,f43]) ).
fof(f56,plain,
! [X0] : addition(one,domain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f20,f37]) ).
fof(f67,plain,
! [X0,X1] : addition(domain(X0),addition(antidomain(X0),X1)) = addition(one,X1),
inference(paramodulation,[status(thm)],[f43,f21]) ).
fof(f73,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f23,f21]) ).
fof(f96,plain,
antidomain(zero) = one,
inference(forward_demodulation,[status(thm)],[f46,f51]) ).
fof(f114,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f20,f73]) ).
fof(f129,plain,
! [X0] : addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)),
inference(paramodulation,[status(thm)],[f43,f114]) ).
fof(f130,plain,
! [X0] : addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)),
inference(forward_demodulation,[status(thm)],[f20,f129]) ).
fof(f131,plain,
! [X0] : addition(one,antidomain(X0)) = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f20,f130]) ).
fof(f132,plain,
! [X0] : addition(one,antidomain(X0)) = one,
inference(forward_demodulation,[status(thm)],[f43,f131]) ).
fof(f169,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(paramodulation,[status(thm)],[f26,f36]) ).
fof(f170,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[status(thm)],[f26,f169]) ).
fof(f182,plain,
! [X0] : addition(domain(X0),antidomain(domain(X0))) = one,
inference(paramodulation,[status(thm)],[f170,f43]) ).
fof(f213,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)),
inference(paramodulation,[status(thm)],[f20,f39]) ).
fof(f214,plain,
! [X0,X1] : domain(addition(X0,X1)) = domain(addition(X1,X0)),
inference(forward_demodulation,[status(thm)],[f39,f213]) ).
fof(f218,plain,
! [X0,X1] : domain(addition(domain(X0),X1)) = addition(domain(X0),domain(X1)),
inference(paramodulation,[status(thm)],[f170,f39]) ).
fof(f219,plain,
! [X0,X1] : domain(addition(domain(X0),X1)) = domain(addition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f39,f218]) ).
fof(f236,plain,
! [X0,X1,X2] : addition(domain(X0),addition(domain(X1),X2)) = addition(domain(addition(X0,X1)),X2),
inference(paramodulation,[status(thm)],[f39,f21]) ).
fof(f310,plain,
! [X0,X1] : multiplication(domain(X0),addition(antidomain(X0),X1)) = addition(zero,multiplication(domain(X0),X1)),
inference(paramodulation,[status(thm)],[f44,f27]) ).
fof(f311,plain,
! [X0,X1] : multiplication(domain(X0),addition(antidomain(X0),X1)) = multiplication(domain(X0),X1),
inference(forward_demodulation,[status(thm)],[f46,f310]) ).
fof(f314,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f360,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f365,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = addition(zero,multiplication(X1,antidomain(X0))),
inference(paramodulation,[status(thm)],[f44,f28]) ).
fof(f366,plain,
! [X0,X1] : multiplication(addition(domain(X0),X1),antidomain(X0)) = multiplication(X1,antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f46,f365]) ).
fof(f372,plain,
! [X0,X1,X2,X3] : multiplication(addition(X0,multiplication(X1,X2)),X3) = addition(multiplication(X0,X3),multiplication(X1,multiplication(X2,X3))),
inference(paramodulation,[status(thm)],[f24,f28]) ).
fof(f381,plain,
! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = addition(multiplication(X0,antidomain(X1)),zero),
inference(paramodulation,[status(thm)],[f44,f28]) ).
fof(f382,plain,
! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = multiplication(X0,antidomain(X1)),
inference(forward_demodulation,[status(thm)],[f22,f381]) ).
fof(f409,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(paramodulation,[status(thm)],[f25,f35]) ).
fof(f410,plain,
one = multiplication(domain(one),one),
inference(forward_demodulation,[status(thm)],[f56,f409]) ).
fof(f411,plain,
one = domain(one),
inference(forward_demodulation,[status(thm)],[f25,f410]) ).
fof(f418,plain,
! [X0,X1] : addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),
inference(paramodulation,[status(thm)],[f36,f35]) ).
fof(f419,plain,
! [X0,X1] : addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f36,f418]) ).
fof(f530,plain,
! [X0,X1] : addition(domain(X0),addition(one,X1)) = addition(domain(X0),addition(antidomain(X0),X1)),
inference(paramodulation,[status(thm)],[f67,f73]) ).
fof(f531,plain,
! [X0,X1] : addition(domain(X0),addition(one,X1)) = addition(one,X1),
inference(forward_demodulation,[status(thm)],[f67,f530]) ).
fof(f555,plain,
! [X0] : addition(domain(X0),multiplication(domain(one),one)) = addition(one,multiplication(domain(one),one)),
inference(paramodulation,[status(thm)],[f35,f531]) ).
fof(f556,plain,
! [X0] : addition(domain(X0),domain(one)) = addition(one,multiplication(domain(one),one)),
inference(forward_demodulation,[status(thm)],[f25,f555]) ).
fof(f557,plain,
! [X0] : domain(addition(X0,one)) = addition(one,multiplication(domain(one),one)),
inference(forward_demodulation,[status(thm)],[f39,f556]) ).
fof(f558,plain,
! [X0] : domain(addition(X0,one)) = multiplication(domain(one),one),
inference(forward_demodulation,[status(thm)],[f35,f557]) ).
fof(f559,plain,
! [X0] : domain(addition(X0,one)) = domain(one),
inference(forward_demodulation,[status(thm)],[f25,f558]) ).
fof(f591,plain,
! [X0] : domain(addition(one,X0)) = domain(one),
inference(paramodulation,[status(thm)],[f214,f559]) ).
fof(f672,plain,
! [X0,X1] : domain(multiplication(X0,addition(one,X1))) = domain(multiplication(X0,domain(one))),
inference(paramodulation,[status(thm)],[f591,f36]) ).
fof(f673,plain,
! [X0,X1] : domain(multiplication(X0,addition(one,X1))) = domain(multiplication(X0,one)),
inference(forward_demodulation,[status(thm)],[f36,f672]) ).
fof(f674,plain,
! [X0,X1] : domain(multiplication(X0,addition(one,X1))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f25,f673]) ).
fof(f1288,plain,
! [X0] : multiplication(one,antidomain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(paramodulation,[status(thm)],[f182,f366]) ).
fof(f1289,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f26,f1288]) ).
fof(f1580,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),antidomain(X1)) = multiplication(domain(X0),antidomain(X1)),
inference(paramodulation,[status(thm)],[f39,f382]) ).
fof(f3500,plain,
! [X0] : domain(one) = domain(addition(X0,antidomain(X0))),
inference(paramodulation,[status(thm)],[f43,f219]) ).
fof(f3501,plain,
! [X0] : one = domain(addition(X0,antidomain(X0))),
inference(forward_demodulation,[status(thm)],[f411,f3500]) ).
fof(f3814,plain,
! [X0,X1] : domain(multiplication(X0,addition(X1,antidomain(X1)))) = domain(multiplication(X0,one)),
inference(paramodulation,[status(thm)],[f3501,f36]) ).
fof(f3815,plain,
! [X0,X1] : domain(multiplication(X0,addition(X1,antidomain(X1)))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f25,f3814]) ).
fof(f4822,plain,
! [X0,X1] : addition(domain(X0),one) = addition(domain(addition(X0,X1)),antidomain(X1)),
inference(paramodulation,[status(thm)],[f43,f236]) ).
fof(f4823,plain,
! [X0,X1] : addition(one,domain(X0)) = addition(domain(addition(X0,X1)),antidomain(X1)),
inference(forward_demodulation,[status(thm)],[f20,f4822]) ).
fof(f4824,plain,
! [X0,X1] : one = addition(domain(addition(X0,X1)),antidomain(X1)),
inference(forward_demodulation,[status(thm)],[f56,f4823]) ).
fof(f4825,plain,
! [X0,X1] : one = addition(antidomain(X0),domain(addition(X1,X0))),
inference(forward_demodulation,[status(thm)],[f20,f4824]) ).
fof(f7790,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,antidomain(X1))),
inference(paramodulation,[status(thm)],[f132,f314]) ).
fof(f7791,plain,
! [X0,X1] : X0 = addition(X0,multiplication(X0,antidomain(X1))),
inference(forward_demodulation,[status(thm)],[f25,f7790]) ).
fof(f7792,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,domain(X1))),
inference(paramodulation,[status(thm)],[f56,f314]) ).
fof(f7793,plain,
! [X0,X1] : X0 = addition(X0,multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f25,f7792]) ).
fof(f7818,plain,
! [X0] : multiplication(antidomain(domain(X0)),addition(one,antidomain(X0))) = addition(antidomain(domain(X0)),antidomain(X0)),
inference(paramodulation,[status(thm)],[f1289,f314]) ).
fof(f7819,plain,
! [X0] : multiplication(antidomain(domain(X0)),one) = addition(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f132,f7818]) ).
fof(f7820,plain,
! [X0] : antidomain(domain(X0)) = addition(antidomain(domain(X0)),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f25,f7819]) ).
fof(f7821,plain,
! [X0] : antidomain(domain(X0)) = addition(antidomain(X0),antidomain(domain(X0))),
inference(forward_demodulation,[status(thm)],[f20,f7820]) ).
fof(f7961,plain,
! [X0,X1] : one = addition(antidomain(multiplication(X0,X1)),domain(multiplication(X0,addition(one,X1)))),
inference(paramodulation,[status(thm)],[f314,f4825]) ).
fof(f7962,plain,
! [X0,X1] : one = addition(antidomain(multiplication(X0,X1)),domain(X0)),
inference(forward_demodulation,[status(thm)],[f674,f7961]) ).
fof(f7963,plain,
! [X0,X1] : one = addition(domain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[status(thm)],[f20,f7962]) ).
fof(f8304,plain,
! [X0,X1] : multiplication(domain(X0),antidomain(X0)) = multiplication(multiplication(domain(X0),antidomain(X1)),antidomain(X0)),
inference(paramodulation,[status(thm)],[f7791,f366]) ).
fof(f8305,plain,
! [X0,X1] : zero = multiplication(multiplication(domain(X0),antidomain(X1)),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f44,f8304]) ).
fof(f8306,plain,
! [X0,X1] : zero = multiplication(domain(X0),multiplication(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[status(thm)],[f24,f8305]) ).
fof(f8785,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(paramodulation,[status(thm)],[f7963,f366]) ).
fof(f8786,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(forward_demodulation,[status(thm)],[f26,f8785]) ).
fof(f9755,plain,
! [X0,X1] : multiplication(one,X0) = addition(X0,multiplication(domain(X1),X0)),
inference(paramodulation,[status(thm)],[f56,f360]) ).
fof(f9756,plain,
! [X0,X1] : X0 = addition(X0,multiplication(domain(X1),X0)),
inference(forward_demodulation,[status(thm)],[f26,f9755]) ).
fof(f9790,plain,
! [X0] : multiplication(addition(one,domain(X0)),X0) = multiplication(domain(X0),X0),
inference(paramodulation,[status(thm)],[f35,f360]) ).
fof(f9791,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[status(thm)],[f56,f9790]) ).
fof(f9792,plain,
! [X0] : X0 = multiplication(domain(X0),X0),
inference(forward_demodulation,[status(thm)],[f26,f9791]) ).
fof(f11203,plain,
! [X0] : domain(multiplication(domain(X0),antidomain(antidomain(X0)))) = domain(domain(X0)),
inference(paramodulation,[status(thm)],[f311,f3815]) ).
fof(f11204,plain,
! [X0] : domain(multiplication(domain(X0),antidomain(antidomain(X0)))) = domain(X0),
inference(forward_demodulation,[status(thm)],[f170,f11203]) ).
fof(f12944,plain,
! [X0] : antidomain(domain(X0)) = multiplication(antidomain(X0),antidomain(domain(X0))),
inference(paramodulation,[status(thm)],[f9792,f8786]) ).
fof(f12986,plain,
! [X0,X1] : multiplication(domain(X0),multiplication(X0,X1)) = multiplication(X0,X1),
inference(paramodulation,[status(thm)],[f9792,f24]) ).
fof(f15377,plain,
! [X0,X1] : multiplication(addition(X0,multiplication(domain(multiplication(X0,X1)),X0)),domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f372,f419]) ).
fof(f15378,plain,
! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(forward_demodulation,[status(thm)],[f9756,f15377]) ).
fof(f15475,plain,
! [X0] : multiplication(domain(X0),domain(antidomain(X0))) = multiplication(domain(zero),multiplication(domain(X0),domain(antidomain(X0)))),
inference(paramodulation,[status(thm)],[f44,f15378]) ).
fof(f15476,plain,
! [X0] : multiplication(domain(X0),domain(antidomain(X0))) = multiplication(zero,multiplication(domain(X0),domain(antidomain(X0)))),
inference(forward_demodulation,[status(thm)],[f38,f15475]) ).
fof(f15477,plain,
! [X0] : multiplication(domain(X0),domain(antidomain(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f30,f15476]) ).
fof(f28121,plain,
! [X0] : zero = multiplication(antidomain(X0),antidomain(antidomain(X0))),
inference(paramodulation,[status(thm)],[f12986,f8306]) ).
fof(f28504,plain,
! [X0] : multiplication(antidomain(X0),domain(antidomain(antidomain(X0)))) = multiplication(domain(zero),multiplication(antidomain(X0),domain(antidomain(antidomain(X0))))),
inference(paramodulation,[status(thm)],[f28121,f15378]) ).
fof(f28505,plain,
! [X0] : multiplication(antidomain(X0),domain(antidomain(antidomain(X0)))) = multiplication(zero,multiplication(antidomain(X0),domain(antidomain(antidomain(X0))))),
inference(forward_demodulation,[status(thm)],[f38,f28504]) ).
fof(f28506,plain,
! [X0] : multiplication(antidomain(X0),domain(antidomain(antidomain(X0)))) = zero,
inference(forward_demodulation,[status(thm)],[f30,f28505]) ).
fof(f35212,plain,
! [X0] : antidomain(X0) = addition(antidomain(X0),antidomain(domain(X0))),
inference(paramodulation,[status(thm)],[f12944,f7791]) ).
fof(f35213,plain,
! [X0] : antidomain(X0) = antidomain(domain(X0)),
inference(forward_demodulation,[status(thm)],[f7821,f35212]) ).
fof(f35370,plain,
! [X0,X1] : antidomain(multiplication(X0,domain(X1))) = antidomain(domain(multiplication(X0,X1))),
inference(paramodulation,[status(thm)],[f36,f35213]) ).
fof(f35371,plain,
! [X0,X1] : antidomain(multiplication(X0,domain(X1))) = antidomain(multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f35213,f35370]) ).
fof(f60167,plain,
! [X0] : multiplication(one,antidomain(antidomain(X0))) = multiplication(domain(X0),antidomain(antidomain(X0))),
inference(paramodulation,[status(thm)],[f3501,f1580]) ).
fof(f60168,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[status(thm)],[f26,f60167]) ).
fof(f63339,plain,
! [X0] : domain(antidomain(antidomain(X0))) = domain(X0),
inference(backward_demodulation,[status(thm)],[f60168,f11204]) ).
fof(f63652,plain,
! [X0] : domain(X0) = addition(domain(X0),antidomain(antidomain(X0))),
inference(paramodulation,[status(thm)],[f60168,f7791]) ).
fof(f63967,plain,
! [X0] : multiplication(antidomain(X0),domain(X0)) = zero,
inference(backward_demodulation,[status(thm)],[f63339,f28506]) ).
fof(f64074,plain,
! [X0] : multiplication(domain(antidomain(X0)),domain(X0)) = zero,
inference(paramodulation,[status(thm)],[f63339,f15477]) ).
fof(f64441,plain,
! [X0] : domain(multiplication(antidomain(X0),X0)) = domain(zero),
inference(paramodulation,[status(thm)],[f63967,f36]) ).
fof(f64442,plain,
! [X0] : domain(multiplication(antidomain(X0),X0)) = zero,
inference(forward_demodulation,[status(thm)],[f38,f64441]) ).
fof(f65082,plain,
! [X0] : multiplication(antidomain(X0),X0) = multiplication(zero,multiplication(antidomain(X0),X0)),
inference(paramodulation,[status(thm)],[f64442,f9792]) ).
fof(f65083,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(forward_demodulation,[status(thm)],[f30,f65082]) ).
fof(f66697,plain,
! [X0] : antidomain(zero) = antidomain(multiplication(domain(antidomain(X0)),X0)),
inference(paramodulation,[status(thm)],[f64074,f35371]) ).
fof(f66698,plain,
! [X0] : one = antidomain(multiplication(domain(antidomain(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f96,f66697]) ).
fof(f66947,plain,
! [X0] : multiplication(one,multiplication(domain(antidomain(X0)),X0)) = zero,
inference(paramodulation,[status(thm)],[f66698,f65083]) ).
fof(f66948,plain,
! [X0] : multiplication(domain(antidomain(X0)),X0) = zero,
inference(forward_demodulation,[status(thm)],[f26,f66947]) ).
fof(f67435,plain,
! [X0,X1] : multiplication(addition(domain(antidomain(X0)),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(paramodulation,[status(thm)],[f66948,f28]) ).
fof(f67436,plain,
! [X0,X1] : multiplication(addition(domain(antidomain(X0)),X1),X0) = multiplication(X1,X0),
inference(forward_demodulation,[status(thm)],[f46,f67435]) ).
fof(f99530,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(paramodulation,[status(thm)],[f43,f67436]) ).
fof(f99531,plain,
! [X0] : X0 = multiplication(antidomain(antidomain(X0)),X0),
inference(forward_demodulation,[status(thm)],[f26,f99530]) ).
fof(f100200,plain,
! [X0] : antidomain(antidomain(domain(X0))) = addition(antidomain(antidomain(domain(X0))),domain(X0)),
inference(paramodulation,[status(thm)],[f99531,f7793]) ).
fof(f100201,plain,
! [X0] : antidomain(antidomain(X0)) = addition(antidomain(antidomain(domain(X0))),domain(X0)),
inference(forward_demodulation,[status(thm)],[f35213,f100200]) ).
fof(f100202,plain,
! [X0] : antidomain(antidomain(X0)) = addition(domain(X0),antidomain(antidomain(domain(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f100201]) ).
fof(f100203,plain,
! [X0] : antidomain(antidomain(X0)) = addition(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[status(thm)],[f35213,f100202]) ).
fof(f100204,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(forward_demodulation,[status(thm)],[f63652,f100203]) ).
fof(f100300,plain,
domain(sk0_0) != domain(sk0_0),
inference(backward_demodulation,[status(thm)],[f100204,f45]) ).
fof(f100301,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f100300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE080+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 : Tue May 30 12:05:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 15.05/2.31 % Refutation found
% 15.05/2.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.05/2.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.05/2.39 % Elapsed time: 2.035104 seconds
% 15.05/2.39 % CPU time: 15.471013 seconds
% 15.05/2.39 % Memory used: 229.566 MB
%------------------------------------------------------------------------------