TSTP Solution File: KLE139+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE139+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:15:52 EDT 2023
% Result : Theorem 87.99s 11.50s
% Output : CNFRefutation 89.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 114 ( 63 unt; 0 def)
% Number of atoms : 169 ( 80 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 105 ( 50 ~; 46 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 160 (; 157 !; 3 ?)
% 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(f10,axiom,
! [A] : multiplication(zero,A) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : addition(one,multiplication(star(A),A)) = star(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,C),B),C)
=> leq(multiplication(star(A),B),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] :
( leq(addition(multiplication(C,A),B),C)
=> leq(multiplication(B,star(A)),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A] : strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [X0] :
( leq(strong_iteration(X0),addition(multiplication(strong_iteration(X0),X0),one))
& leq(addition(multiplication(strong_iteration(X0),X0),one),strong_iteration(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [X0] :
( leq(strong_iteration(X0),addition(multiplication(strong_iteration(X0),X0),one))
& leq(addition(multiplication(strong_iteration(X0),X0),one),strong_iteration(X0)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f29,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)],[f10]) ).
fof(f31,plain,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f32,plain,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f33,plain,
! [A,B,C] :
( ~ leq(addition(multiplication(A,C),B),C)
| leq(multiplication(star(A),B),C) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [A,B,C] :
( ~ leq(addition(multiplication(C,A),B),C)
| leq(multiplication(B,star(A)),C) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f40,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f41,plain,
! [A,B] :
( ( ~ leq(A,B)
| addition(A,B) = B )
& ( leq(A,B)
| addition(A,B) != B ) ),
inference(NNF_transformation,[status(esa)],[f18]) ).
fof(f42,plain,
( ! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B )
& ! [A,B] :
( leq(A,B)
| addition(A,B) != B ) ),
inference(miniscoping,[status(esa)],[f41]) ).
fof(f44,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f45,plain,
? [X0] :
( ~ leq(strong_iteration(X0),addition(multiplication(strong_iteration(X0),X0),one))
| ~ leq(addition(multiplication(strong_iteration(X0),X0),one),strong_iteration(X0)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f46,plain,
( ? [X0] : ~ leq(strong_iteration(X0),addition(multiplication(strong_iteration(X0),X0),one))
| ? [X0] : ~ leq(addition(multiplication(strong_iteration(X0),X0),one),strong_iteration(X0)) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f47,plain,
( ~ leq(strong_iteration(sk0_0),addition(multiplication(strong_iteration(sk0_0),sk0_0),one))
| ~ leq(addition(multiplication(strong_iteration(sk0_1),sk0_1),one),strong_iteration(sk0_1)) ),
inference(skolemization,[status(esa)],[f46]) ).
fof(f48,plain,
( ~ leq(strong_iteration(sk0_0),addition(multiplication(strong_iteration(sk0_0),sk0_0),one))
| ~ leq(addition(multiplication(strong_iteration(sk0_1),sk0_1),one),strong_iteration(sk0_1)) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
( spl0_0
<=> leq(strong_iteration(sk0_0),addition(multiplication(strong_iteration(sk0_0),sk0_0),one)) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( ~ leq(strong_iteration(sk0_0),addition(multiplication(strong_iteration(sk0_0),sk0_0),one))
| spl0_0 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( spl0_1
<=> leq(addition(multiplication(strong_iteration(sk0_1),sk0_1),one),strong_iteration(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( ~ leq(addition(multiplication(strong_iteration(sk0_1),sk0_1),one),strong_iteration(sk0_1))
| spl0_1 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f48,f49,f52]) ).
fof(f56,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f62,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f63,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f62]) ).
fof(f66,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f22]) ).
fof(f76,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f66]) ).
fof(f125,plain,
! [X0,X1] : addition(one,addition(multiplication(star(X0),X0),X1)) = addition(star(X0),X1),
inference(paramodulation,[status(thm)],[f32,f22]) ).
fof(f126,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(forward_demodulation,[status(thm)],[f21,f37]) ).
fof(f132,plain,
! [X0] : addition(one,strong_iteration(X0)) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(paramodulation,[status(thm)],[f126,f66]) ).
fof(f133,plain,
! [X0] : addition(one,strong_iteration(X0)) = strong_iteration(X0),
inference(forward_demodulation,[status(thm)],[f126,f132]) ).
fof(f148,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f28]) ).
fof(f149,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(forward_demodulation,[status(thm)],[f28,f148]) ).
fof(f159,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f166,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f167,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(X0,multiplication(X0,X1)),
inference(forward_demodulation,[status(thm)],[f21,f166]) ).
fof(f181,plain,
! [X0] : addition(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f21,f23]) ).
fof(f202,plain,
addition(one,zero) = star(zero),
inference(paramodulation,[status(thm)],[f30,f31]) ).
fof(f203,plain,
one = star(zero),
inference(forward_demodulation,[status(thm)],[f23,f202]) ).
fof(f362,plain,
! [X0,X1] : addition(X0,strong_iteration(X1)) = addition(one,addition(X0,strong_iteration(X1))),
inference(paramodulation,[status(thm)],[f133,f63]) ).
fof(f518,plain,
! [X0,X1] :
( ~ leq(addition(multiplication(X0,zero),X1),X0)
| leq(multiplication(X1,one),X0) ),
inference(paramodulation,[status(thm)],[f203,f36]) ).
fof(f519,plain,
! [X0,X1] :
( ~ leq(addition(multiplication(X0,zero),X1),X0)
| leq(X1,X0) ),
inference(forward_demodulation,[status(thm)],[f26,f518]) ).
fof(f520,plain,
( ~ leq(strong_iteration(sk0_0),addition(one,multiplication(strong_iteration(sk0_0),sk0_0)))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f21,f51]) ).
fof(f619,plain,
! [X0,X1,X2,X3] :
( ~ leq(addition(multiplication(X0,X1),addition(X2,X3)),X1)
| leq(multiplication(star(X0),addition(X3,X2)),X1) ),
inference(paramodulation,[status(thm)],[f149,f34]) ).
fof(f926,plain,
! [X0,X1] : addition(one,multiplication(addition(star(X0),X1),X0)) = addition(star(X0),multiplication(X1,X0)),
inference(paramodulation,[status(thm)],[f29,f125]) ).
fof(f1464,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,zero)),
inference(paramodulation,[status(thm)],[f23,f159]) ).
fof(f1465,plain,
! [X0] : X0 = addition(X0,multiplication(X0,zero)),
inference(forward_demodulation,[status(thm)],[f26,f1464]) ).
fof(f1585,plain,
! [X0,X1] : addition(X0,addition(X1,multiplication(X0,zero))) = addition(X1,X0),
inference(paramodulation,[status(thm)],[f1465,f63]) ).
fof(f3158,plain,
( ~ leq(addition(multiplication(addition(one,multiplication(strong_iteration(sk0_0),sk0_0)),zero),strong_iteration(sk0_0)),addition(one,multiplication(strong_iteration(sk0_0),sk0_0)))
| spl0_0 ),
inference(resolution,[status(thm)],[f519,f520]) ).
fof(f3159,plain,
( ~ leq(addition(strong_iteration(sk0_0),multiplication(addition(one,multiplication(strong_iteration(sk0_0),sk0_0)),zero)),addition(one,multiplication(strong_iteration(sk0_0),sk0_0)))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f21,f3158]) ).
fof(f33079,plain,
( ~ leq(addition(one,multiplication(strong_iteration(sk0_1),sk0_1)),strong_iteration(sk0_1))
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f21,f54]) ).
fof(f33091,plain,
( addition(addition(one,multiplication(strong_iteration(sk0_1),sk0_1)),strong_iteration(sk0_1)) != strong_iteration(sk0_1)
| spl0_1 ),
inference(resolution,[status(thm)],[f33079,f44]) ).
fof(f33092,plain,
( addition(one,addition(multiplication(strong_iteration(sk0_1),sk0_1),strong_iteration(sk0_1))) != strong_iteration(sk0_1)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f22,f33091]) ).
fof(f33093,plain,
( addition(multiplication(strong_iteration(sk0_1),sk0_1),strong_iteration(sk0_1)) != strong_iteration(sk0_1)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f362,f33092]) ).
fof(f33094,plain,
( addition(strong_iteration(sk0_1),multiplication(strong_iteration(sk0_1),sk0_1)) != strong_iteration(sk0_1)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f21,f33093]) ).
fof(f33095,plain,
( multiplication(strong_iteration(sk0_1),addition(sk0_1,one)) != strong_iteration(sk0_1)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f167,f33094]) ).
fof(f33096,plain,
( multiplication(strong_iteration(sk0_1),addition(one,sk0_1)) != strong_iteration(sk0_1)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f149,f33095]) ).
fof(f74198,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(zero,X0),addition(X1,X2)),X0)
| leq(multiplication(one,addition(X2,X1)),X0) ),
inference(paramodulation,[status(thm)],[f203,f619]) ).
fof(f74199,plain,
! [X0,X1,X2] :
( ~ leq(addition(zero,addition(X0,X1)),X2)
| leq(multiplication(one,addition(X1,X0)),X2) ),
inference(forward_demodulation,[status(thm)],[f30,f74198]) ).
fof(f74200,plain,
! [X0,X1,X2] :
( ~ leq(addition(X0,X1),X2)
| leq(multiplication(one,addition(X1,X0)),X2) ),
inference(forward_demodulation,[status(thm)],[f181,f74199]) ).
fof(f74201,plain,
! [X0,X1,X2] :
( ~ leq(addition(X0,X1),X2)
| leq(addition(X1,X0),X2) ),
inference(forward_demodulation,[status(thm)],[f27,f74200]) ).
fof(f78978,plain,
! [X0,X1,X2] :
( leq(addition(X0,X1),X2)
| addition(addition(X1,X0),X2) != X2 ),
inference(resolution,[status(thm)],[f74201,f44]) ).
fof(f78979,plain,
! [X0,X1,X2] :
( leq(addition(X0,X1),X2)
| addition(X1,addition(X0,X2)) != X2 ),
inference(forward_demodulation,[status(thm)],[f22,f78978]) ).
fof(f79692,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(multiplication(X0,zero),addition(X0,X1)) != X1 ),
inference(paramodulation,[status(thm)],[f1465,f78979]) ).
fof(f79693,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,addition(X1,multiplication(X0,zero))) != X1 ),
inference(forward_demodulation,[status(thm)],[f56,f79692]) ).
fof(f79694,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X1,X0) != X1 ),
inference(forward_demodulation,[status(thm)],[f1585,f79693]) ).
fof(f106310,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = addition(star(X0),multiplication(multiplication(strong_iteration(X0),zero),X0)),
inference(paramodulation,[status(thm)],[f40,f926]) ).
fof(f106311,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = addition(star(X0),multiplication(strong_iteration(X0),multiplication(zero,X0))),
inference(forward_demodulation,[status(thm)],[f25,f106310]) ).
fof(f106312,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(forward_demodulation,[status(thm)],[f30,f106311]) ).
fof(f106313,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = strong_iteration(X0),
inference(forward_demodulation,[status(thm)],[f40,f106312]) ).
fof(f109762,plain,
( ~ leq(addition(strong_iteration(sk0_0),multiplication(addition(one,multiplication(strong_iteration(sk0_0),sk0_0)),zero)),strong_iteration(sk0_0))
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f106313,f3159]) ).
fof(f109763,plain,
( ~ leq(addition(strong_iteration(sk0_0),multiplication(strong_iteration(sk0_0),zero)),strong_iteration(sk0_0))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f106313,f109762]) ).
fof(f109764,plain,
( ~ leq(strong_iteration(sk0_0),strong_iteration(sk0_0))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1465,f109763]) ).
fof(f110180,plain,
! [X0] : addition(multiplication(strong_iteration(X0),X0),strong_iteration(X0)) = addition(multiplication(strong_iteration(X0),X0),one),
inference(paramodulation,[status(thm)],[f106313,f76]) ).
fof(f110181,plain,
! [X0] : addition(strong_iteration(X0),multiplication(strong_iteration(X0),X0)) = addition(multiplication(strong_iteration(X0),X0),one),
inference(forward_demodulation,[status(thm)],[f21,f110180]) ).
fof(f110182,plain,
! [X0] : multiplication(strong_iteration(X0),addition(X0,one)) = addition(multiplication(strong_iteration(X0),X0),one),
inference(forward_demodulation,[status(thm)],[f167,f110181]) ).
fof(f110183,plain,
! [X0] : multiplication(strong_iteration(X0),addition(X0,one)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[status(thm)],[f21,f110182]) ).
fof(f110184,plain,
! [X0] : multiplication(strong_iteration(X0),addition(X0,one)) = strong_iteration(X0),
inference(forward_demodulation,[status(thm)],[f106313,f110183]) ).
fof(f110190,plain,
! [X0] : multiplication(strong_iteration(X0),addition(one,X0)) = strong_iteration(X0),
inference(paramodulation,[status(thm)],[f149,f110184]) ).
fof(f115243,plain,
( addition(strong_iteration(sk0_0),strong_iteration(sk0_0)) != strong_iteration(sk0_0)
| spl0_0 ),
inference(resolution,[status(thm)],[f109764,f79694]) ).
fof(f115244,plain,
( strong_iteration(sk0_0) != strong_iteration(sk0_0)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f24,f115243]) ).
fof(f115245,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f115244]) ).
fof(f115246,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f115245]) ).
fof(f115253,plain,
( strong_iteration(sk0_1) != strong_iteration(sk0_1)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f110190,f33096]) ).
fof(f115254,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f115253]) ).
fof(f115255,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f115254]) ).
fof(f115256,plain,
$false,
inference(sat_refutation,[status(thm)],[f55,f115246,f115255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : KLE139+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n025.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:59:27 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 87.99/11.50 % Refutation found
% 87.99/11.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 87.99/11.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 89.38/11.68 % Elapsed time: 11.351860 seconds
% 89.38/11.68 % CPU time: 89.205084 seconds
% 89.38/11.68 % Memory used: 749.322 MB
%------------------------------------------------------------------------------