TSTP Solution File: KLE043+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE043+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:15:38 EDT 2023
% Result : Theorem 64.04s 8.68s
% Output : CNFRefutation 64.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 105 ( 60 unt; 0 def)
% Number of atoms : 154 ( 78 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 94 ( 45 ~; 41 |; 4 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 170 (; 164 !; 6 ?)
% 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(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(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(f12,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : leq(addition(one,multiplication(A,star(A))),star(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,B),C),B)
=> leq(multiplication(star(A),C),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0,X1] :
( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
& leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
& leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,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,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,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(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,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,
! [A,B] :
( ( ~ leq(A,B)
| addition(A,B) = B )
& ( leq(A,B)
| addition(A,B) != B ) ),
inference(NNF_transformation,[status(esa)],[f12]) ).
fof(f31,plain,
( ! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B )
& ! [A,B] :
( leq(A,B)
| addition(A,B) != B ) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f34,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f36,plain,
! [A,B,C] :
( ~ leq(addition(multiplication(A,B),C),B)
| leq(multiplication(star(A),C),B) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f40,plain,
? [X0,X1] :
( ~ leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
| ~ leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f41,plain,
( ? [X0,X1] : ~ leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
| ? [X0,X1] : ~ leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
inference(miniscoping,[status(esa)],[f40]) ).
fof(f42,plain,
( ~ leq(multiplication(star(sk0_0),sk0_1),addition(sk0_1,multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1)))
| ~ leq(addition(sk0_3,multiplication(multiplication(sk0_2,star(sk0_2)),sk0_3)),multiplication(star(sk0_2),sk0_3)) ),
inference(skolemization,[status(esa)],[f41]) ).
fof(f43,plain,
( ~ leq(multiplication(star(sk0_0),sk0_1),addition(sk0_1,multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1)))
| ~ leq(addition(sk0_3,multiplication(multiplication(sk0_2,star(sk0_2)),sk0_3)),multiplication(star(sk0_2),sk0_3)) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
( spl0_0
<=> leq(multiplication(star(sk0_0),sk0_1),addition(sk0_1,multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1))) ),
introduced(split_symbol_definition) ).
fof(f46,plain,
( ~ leq(multiplication(star(sk0_0),sk0_1),addition(sk0_1,multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( spl0_1
<=> leq(addition(sk0_3,multiplication(multiplication(sk0_2,star(sk0_2)),sk0_3)),multiplication(star(sk0_2),sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f49,plain,
( ~ leq(addition(sk0_3,multiplication(multiplication(sk0_2,star(sk0_2)),sk0_3)),multiplication(star(sk0_2),sk0_3))
| spl0_1 ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f43,f44,f47]) ).
fof(f51,plain,
! [X0] : leq(addition(multiplication(X0,star(X0)),one),star(X0)),
inference(forward_demodulation,[status(thm)],[f19,f34]) ).
fof(f53,plain,
( ~ leq(multiplication(star(sk0_0),sk0_1),addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f19,f46]) ).
fof(f58,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X1,X0) = X1 ),
inference(paramodulation,[status(thm)],[f19,f32]) ).
fof(f77,plain,
! [X0,X1] :
( addition(X0,X1) = X0
| addition(X1,X0) != X0 ),
inference(resolution,[status(thm)],[f58,f33]) ).
fof(f106,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f109,plain,
! [X0,X1,X2,X3] : addition(addition(X0,X1),addition(X2,X3)) = addition(addition(X0,addition(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f20,f20]) ).
fof(f110,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f112,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f121,plain,
! [X0,X1,X2] :
( leq(addition(X0,X1),X2)
| addition(X0,addition(X1,X2)) != X2 ),
inference(paramodulation,[status(thm)],[f20,f33]) ).
fof(f127,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(resolution,[status(thm)],[f112,f33]) ).
fof(f130,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f19,f112]) ).
fof(f146,plain,
! [X0,X1] : leq(X0,addition(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f127]) ).
fof(f152,plain,
! [X0,X1,X2] : leq(X0,addition(X1,addition(X2,X0))),
inference(paramodulation,[status(thm)],[f20,f146]) ).
fof(f157,plain,
! [X0,X1,X2] : addition(addition(X0,addition(X1,X2)),X2) = addition(X0,addition(X1,X2)),
inference(resolution,[status(thm)],[f152,f58]) ).
fof(f161,plain,
! [X0,X1,X2] : leq(X0,addition(addition(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f19,f152]) ).
fof(f275,plain,
! [X0,X1,X2] : addition(X0,addition(addition(X1,X0),X2)) = addition(addition(X1,X0),X2),
inference(resolution,[status(thm)],[f161,f32]) ).
fof(f411,plain,
! [X0,X1,X2] : addition(X0,addition(addition(X1,X0),X2)) = addition(addition(X0,X1),X2),
inference(paramodulation,[status(thm)],[f130,f20]) ).
fof(f412,plain,
! [X0,X1,X2] : addition(addition(X0,X1),X2) = addition(addition(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f275,f411]) ).
fof(f624,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f27]) ).
fof(f625,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f27,f624]) ).
fof(f629,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f630,plain,
! [X0,X1,X2,X3] : multiplication(addition(multiplication(X0,X1),X2),X3) = addition(multiplication(X0,multiplication(X1,X3)),multiplication(X2,X3)),
inference(paramodulation,[status(thm)],[f23,f27]) ).
fof(f636,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f637,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)],[f23,f27]) ).
fof(f709,plain,
! [X0] : addition(addition(multiplication(X0,star(X0)),one),star(X0)) = star(X0),
inference(resolution,[status(thm)],[f51,f32]) ).
fof(f1504,plain,
( ~ leq(addition(multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)),sk0_1),addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1))
| spl0_0 ),
inference(resolution,[status(thm)],[f37,f53]) ).
fof(f2226,plain,
! [X0,X1,X2] : addition(addition(X0,X1),X2) = addition(X1,addition(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f106]) ).
fof(f2556,plain,
! [X0,X1,X2,X3] : addition(addition(X0,X1),addition(X2,X3)) = addition(addition(X1,addition(X2,X0)),X3),
inference(paramodulation,[status(thm)],[f106,f109]) ).
fof(f2869,plain,
( addition(addition(multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)),sk0_1),addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(resolution,[status(thm)],[f1504,f33]) ).
fof(f2870,plain,
( addition(addition(multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)),addition(sk0_1,multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1))),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f109,f2869]) ).
fof(f2871,plain,
( addition(addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1))),addition(sk0_1,sk0_1)) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f2556,f2870]) ).
fof(f2872,plain,
( addition(addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),addition(multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)),sk0_1)),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f109,f2871]) ).
fof(f2873,plain,
( addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),addition(multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)),sk0_1)) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f157,f2872]) ).
fof(f2874,plain,
( addition(addition(multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)),multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1)),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f110,f2873]) ).
fof(f2875,plain,
( addition(addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),multiplication(sk0_0,addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1))),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f412,f2874]) ).
fof(f3222,plain,
! [X0,X1,X2,X3] : addition(multiplication(addition(X0,X1),X2),X3) = addition(addition(multiplication(X1,X2),multiplication(X0,X2)),X3),
inference(paramodulation,[status(thm)],[f27,f412]) ).
fof(f3223,plain,
! [X0,X1,X2,X3] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(addition(X1,X0),X2),X3),
inference(forward_demodulation,[status(thm)],[f27,f3222]) ).
fof(f4203,plain,
! [X0,X1,X2] : addition(addition(X0,X1),X2) = addition(X0,addition(X2,X1)),
inference(paramodulation,[status(thm)],[f412,f2226]) ).
fof(f9107,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f625,f629]) ).
fof(f9931,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f625,f636]) ).
fof(f9956,plain,
! [X0,X1,X2] : multiplication(addition(X0,one),multiplication(X1,X2)) = multiplication(addition(multiplication(X0,X1),X1),X2),
inference(paramodulation,[status(thm)],[f630,f636]) ).
fof(f10321,plain,
! [X0,X1,X2,X3] : multiplication(addition(X0,multiplication(X1,addition(X2,one))),X3) = addition(multiplication(X0,X3),multiplication(X1,addition(multiplication(X2,X3),X3))),
inference(paramodulation,[status(thm)],[f636,f637]) ).
fof(f10558,plain,
( addition(multiplication(addition(multiplication(sk0_0,star(sk0_0)),multiplication(sk0_0,addition(multiplication(sk0_0,star(sk0_0)),one))),sk0_1),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f10321,f2875]) ).
fof(f10559,plain,
( addition(multiplication(addition(multiplication(sk0_0,addition(multiplication(sk0_0,star(sk0_0)),one)),multiplication(sk0_0,star(sk0_0))),sk0_1),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f3223,f10558]) ).
fof(f10560,plain,
( addition(multiplication(multiplication(sk0_0,addition(addition(multiplication(sk0_0,star(sk0_0)),one),star(sk0_0))),sk0_1),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f26,f10559]) ).
fof(f10561,plain,
( addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1) != addition(multiplication(multiplication(sk0_0,star(sk0_0)),sk0_1),sk0_1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f709,f10560]) ).
fof(f10562,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f10561]) ).
fof(f10563,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f10562]) ).
fof(f10564,plain,
( ~ leq(addition(multiplication(multiplication(sk0_2,star(sk0_2)),sk0_3),sk0_3),multiplication(star(sk0_2),sk0_3))
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f19,f49]) ).
fof(f10566,plain,
( addition(multiplication(multiplication(sk0_2,star(sk0_2)),sk0_3),addition(sk0_3,multiplication(star(sk0_2),sk0_3))) != multiplication(star(sk0_2),sk0_3)
| spl0_1 ),
inference(resolution,[status(thm)],[f10564,f121]) ).
fof(f10567,plain,
( addition(addition(multiplication(multiplication(sk0_2,star(sk0_2)),sk0_3),multiplication(star(sk0_2),sk0_3)),sk0_3) != multiplication(star(sk0_2),sk0_3)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4203,f10566]) ).
fof(f10568,plain,
( addition(multiplication(addition(multiplication(sk0_2,star(sk0_2)),star(sk0_2)),sk0_3),sk0_3) != multiplication(star(sk0_2),sk0_3)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f27,f10567]) ).
fof(f10569,plain,
( addition(multiplication(addition(sk0_2,one),multiplication(star(sk0_2),sk0_3)),sk0_3) != multiplication(star(sk0_2),sk0_3)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f9956,f10568]) ).
fof(f10570,plain,
( addition(multiplication(addition(one,sk0_2),multiplication(star(sk0_2),sk0_3)),sk0_3) != multiplication(star(sk0_2),sk0_3)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f3223,f10569]) ).
fof(f14974,plain,
! [X0] : addition(star(X0),addition(multiplication(X0,star(X0)),one)) = star(X0),
inference(resolution,[status(thm)],[f709,f77]) ).
fof(f14975,plain,
! [X0] : addition(addition(star(X0),one),multiplication(X0,star(X0))) = star(X0),
inference(forward_demodulation,[status(thm)],[f4203,f14974]) ).
fof(f14976,plain,
! [X0] : addition(addition(one,star(X0)),multiplication(X0,star(X0))) = star(X0),
inference(forward_demodulation,[status(thm)],[f412,f14975]) ).
fof(f15061,plain,
! [X0] : leq(one,star(X0)),
inference(paramodulation,[status(thm)],[f709,f161]) ).
fof(f16038,plain,
! [X0] : addition(star(X0),one) = star(X0),
inference(resolution,[status(thm)],[f15061,f58]) ).
fof(f16039,plain,
! [X0] : addition(one,star(X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f19,f16038]) ).
fof(f16049,plain,
! [X0] : addition(star(X0),multiplication(X0,star(X0))) = star(X0),
inference(backward_demodulation,[status(thm)],[f16039,f14976]) ).
fof(f16050,plain,
! [X0] : multiplication(addition(X0,one),star(X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f9107,f16049]) ).
fof(f16083,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(multiplication(star(X0),X1),X1),
inference(paramodulation,[status(thm)],[f16039,f9931]) ).
fof(f19899,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = star(X0),
inference(paramodulation,[status(thm)],[f625,f16050]) ).
fof(f22000,plain,
! [X0,X1] : multiplication(addition(one,X0),multiplication(star(X0),X1)) = multiplication(star(X0),X1),
inference(paramodulation,[status(thm)],[f19899,f23]) ).
fof(f22009,plain,
( addition(multiplication(star(sk0_2),sk0_3),sk0_3) != multiplication(star(sk0_2),sk0_3)
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f22000,f10570]) ).
fof(f22010,plain,
( multiplication(star(sk0_2),sk0_3) != multiplication(star(sk0_2),sk0_3)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16083,f22009]) ).
fof(f22011,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f22010]) ).
fof(f22012,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f22011]) ).
fof(f22013,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f10563,f22012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : KLE043+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.29 % Computer : n014.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue May 30 11:43:33 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Drodi V3.5.1
% 64.04/8.68 % Refutation found
% 64.04/8.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 64.04/8.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 65.45/8.82 % Elapsed time: 8.501938 seconds
% 65.45/8.82 % CPU time: 65.174366 seconds
% 65.45/8.82 % Memory used: 363.846 MB
%------------------------------------------------------------------------------