TSTP Solution File: KLE129+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:15:50 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 60 ( 45 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 23 ~; 19 |; 2 &)
% ( 2 <=>; 2 =>; 2 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 28 (; 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,conjecture,
! [X0] :
( divergence(X0) = zero
<= ! [X1] :
( addition(domain(X1),forward_diamond(X0,domain(X1))) = forward_diamond(X0,domain(X1))
=> domain(X1) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ ! [X0] :
( divergence(X0) = zero
<= ! [X1] :
( addition(domain(X1),forward_diamond(X0,domain(X1))) = forward_diamond(X0,domain(X1))
=> domain(X1) = zero ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f56,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f60,plain,
! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f63,plain,
? [X0] :
( divergence(X0) != zero
& ! [X1] :
( addition(domain(X1),forward_diamond(X0,domain(X1))) != forward_diamond(X0,domain(X1))
| domain(X1) = zero ) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f64,plain,
( divergence(sk0_0) != zero
& ! [X1] :
( addition(domain(X1),forward_diamond(sk0_0,domain(X1))) != forward_diamond(sk0_0,domain(X1))
| domain(X1) = zero ) ),
inference(skolemization,[status(esa)],[f63]) ).
fof(f65,plain,
divergence(sk0_0) != zero,
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [X0] :
( addition(domain(X0),forward_diamond(sk0_0,domain(X0))) != forward_diamond(sk0_0,domain(X0))
| domain(X0) = zero ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f78,plain,
! [X0,X1] :
( addition(domain(multiplication(X0,domain(X1))),forward_diamond(sk0_0,forward_diamond(X0,X1))) != forward_diamond(sk0_0,domain(multiplication(X0,domain(X1))))
| domain(multiplication(X0,domain(X1))) = zero ),
inference(paramodulation,[status(thm)],[f56,f66]) ).
fof(f79,plain,
! [X0,X1] :
( addition(forward_diamond(X0,X1),forward_diamond(sk0_0,forward_diamond(X0,X1))) != forward_diamond(sk0_0,domain(multiplication(X0,domain(X1))))
| domain(multiplication(X0,domain(X1))) = zero ),
inference(forward_demodulation,[status(thm)],[f56,f78]) ).
fof(f80,plain,
! [X0,X1] :
( addition(forward_diamond(X0,X1),forward_diamond(sk0_0,forward_diamond(X0,X1))) != forward_diamond(sk0_0,forward_diamond(X0,X1))
| domain(multiplication(X0,domain(X1))) = zero ),
inference(forward_demodulation,[status(thm)],[f56,f79]) ).
fof(f81,plain,
! [X0,X1] :
( addition(forward_diamond(X0,X1),forward_diamond(sk0_0,forward_diamond(X0,X1))) != forward_diamond(sk0_0,forward_diamond(X0,X1))
| forward_diamond(X0,X1) = zero ),
inference(forward_demodulation,[status(thm)],[f56,f80]) ).
fof(f257,plain,
! [X0] :
( addition(divergence(X0),forward_diamond(sk0_0,forward_diamond(X0,divergence(X0)))) != forward_diamond(sk0_0,forward_diamond(X0,divergence(X0)))
| forward_diamond(X0,divergence(X0)) = zero ),
inference(paramodulation,[status(thm)],[f60,f81]) ).
fof(f258,plain,
! [X0] :
( addition(divergence(X0),forward_diamond(sk0_0,divergence(X0))) != forward_diamond(sk0_0,forward_diamond(X0,divergence(X0)))
| forward_diamond(X0,divergence(X0)) = zero ),
inference(forward_demodulation,[status(thm)],[f60,f257]) ).
fof(f259,plain,
! [X0] :
( addition(divergence(X0),forward_diamond(sk0_0,divergence(X0))) != forward_diamond(sk0_0,divergence(X0))
| forward_diamond(X0,divergence(X0)) = zero ),
inference(forward_demodulation,[status(thm)],[f60,f258]) ).
fof(f260,plain,
! [X0] :
( addition(divergence(X0),forward_diamond(sk0_0,divergence(X0))) != forward_diamond(sk0_0,divergence(X0))
| divergence(X0) = zero ),
inference(forward_demodulation,[status(thm)],[f60,f259]) ).
fof(f277,plain,
( spl0_5
<=> addition(divergence(sk0_0),divergence(sk0_0)) = forward_diamond(sk0_0,divergence(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f279,plain,
( addition(divergence(sk0_0),divergence(sk0_0)) != forward_diamond(sk0_0,divergence(sk0_0))
| spl0_5 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( spl0_6
<=> divergence(sk0_0) = zero ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( divergence(sk0_0) = zero
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( addition(divergence(sk0_0),divergence(sk0_0)) != forward_diamond(sk0_0,divergence(sk0_0))
| divergence(sk0_0) = zero ),
inference(paramodulation,[status(thm)],[f60,f260]) ).
fof(f284,plain,
( ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f283,f277,f280]) ).
fof(f292,plain,
( divergence(sk0_0) != forward_diamond(sk0_0,divergence(sk0_0))
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f34,f279]) ).
fof(f293,plain,
( divergence(sk0_0) != divergence(sk0_0)
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f60,f292]) ).
fof(f294,plain,
( $false
| spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f293]) ).
fof(f295,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f294]) ).
fof(f298,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f65]) ).
fof(f299,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f298]) ).
fof(f300,plain,
$false,
inference(sat_refutation,[status(thm)],[f284,f295,f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 12:04:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.36 % Elapsed time: 0.023697 seconds
% 0.12/0.36 % CPU time: 0.049255 seconds
% 0.12/0.36 % Memory used: 9.649 MB
%------------------------------------------------------------------------------