TSTP Solution File: NUM622+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM622+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:29:58 EDT 2023
% Result : Theorem 2.11s 0.66s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 44 ( 14 ~; 11 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 8 (; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f118,hypothesis,
( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xn))
=> aElementOf0(W0,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f119,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(negated_conjecture,[status(cth)],[f119]) ).
fof(f552,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))
& ! [W1] :
( ~ aElementOf0(W1,sdtlpdtrp0(xN,W0))
| sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f91]) ).
fof(f555,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f657,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f658,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f677,plain,
( ! [W0] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xn))
| aElementOf0(W0,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(pre_NNF_transformation,[status(esa)],[f118]) ).
fof(f678,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[status(esa)],[f677]) ).
fof(f680,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f801,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(resolution,[status(thm)],[f678,f680]) ).
fof(f1234,plain,
( spl0_71
<=> aElementOf0(xn,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f1236,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl0_71 ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1264,plain,
( spl0_77
<=> aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
introduced(split_symbol_definition) ).
fof(f1265,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(paramodulation,[status(thm)],[f658,f555]) ).
fof(f1268,plain,
( ~ spl0_71
| spl0_77 ),
inference(split_clause,[status(thm)],[f1267,f1234,f1264]) ).
fof(f1279,plain,
( $false
| spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1236,f657]) ).
fof(f1280,plain,
spl0_71,
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1281,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f801]) ).
fof(f1282,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
$false,
inference(sat_refutation,[status(thm)],[f1268,f1280,f1282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM622+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 10:08:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 2.11/0.66 % Refutation found
% 2.11/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.11/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.11/0.66 % Elapsed time: 0.321445 seconds
% 2.11/0.66 % CPU time: 2.298058 seconds
% 2.11/0.66 % Memory used: 94.601 MB
%------------------------------------------------------------------------------