TSTP Solution File: NUM625+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM625+3 : 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 12:29:59 EDT 2023
% Result : Theorem 0.32s 0.60s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 19 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 5 ~; 1 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 (; 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,hypothesis,
( aElementOf0(xp,xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,hypothesis,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,hypothesis,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f630,plain,
( aElementOf0(xp,xQ)
& ! [W0] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) )
& xp = szmzizndt0(xQ) ),
inference(pre_NNF_transformation,[status(esa)],[f103]) ).
fof(f633,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[status(esa)],[f630]) ).
fof(f664,plain,
xx != szmzizndt0(xQ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f684,plain,
xp = xx,
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f1102,plain,
xp != szmzizndt0(xQ),
inference(forward_demodulation,[status(thm)],[f684,f664]) ).
fof(f1103,plain,
xp != xp,
inference(forward_demodulation,[status(thm)],[f633,f1102]) ).
fof(f1104,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.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 10:07:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % Drodi V3.5.1
% 0.32/0.60 % Refutation found
% 0.32/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.32/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.60 % Elapsed time: 0.038732 seconds
% 0.32/0.60 % CPU time: 0.084391 seconds
% 0.32/0.60 % Memory used: 21.414 MB
%------------------------------------------------------------------------------