TSTP Solution File: NUM458+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:34:45 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 26 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,W0) = xm )
| sdtlseqdt0(xm,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xm,W0) = xm )
| sdtlseqdt0(xm,xm) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f26,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f37,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f38,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f76,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f77,plain,
( ! [W0] :
( ~ aNaturalNumber0(W0)
| sdtpldt0(xm,W0) != xm )
& ~ sdtlseqdt0(xm,xm) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f78,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != xm ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f171,plain,
sdtpldt0(xm,sz00) != xm,
inference(resolution,[status(thm)],[f26,f78]) ).
fof(f218,plain,
sdtpldt0(xm,sz00) = xm,
inference(resolution,[status(thm)],[f38,f76]) ).
fof(f219,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f218,f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n011.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 : Mon Apr 29 20:43:31 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.043504 seconds
% 0.14/0.41 % CPU time: 0.058014 seconds
% 0.14/0.41 % Total memory used: 11.214 MB
% 0.14/0.41 % Net memory used: 11.139 MB
%------------------------------------------------------------------------------