TSTP Solution File: NUM580+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM580+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:35:13 EDT 2024
% Result : Theorem 173.72s 22.26s
% Output : CNFRefutation 174.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 67 ( 15 unt; 0 def)
% Number of atoms : 256 ( 36 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 274 ( 85 ~; 84 |; 76 &)
% ( 13 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aElement0(W1)
=> ( ~ aElementOf0(W1,W0)
=> sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(W0)
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,conjecture,
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(W0)
& ( aElementOf0(W0,xQ)
| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) )
=> sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(W0)
& ( aElementOf0(W0,xQ)
| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) )
=> sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK ) ),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f95,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ~ aElementOf0(W1,W0)
| aElement0(W1) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f205,plain,
! [W0] :
( ~ aSet0(W0)
| ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f206,plain,
! [W0] :
( ~ aSet0(W0)
| ( ( ~ aElementOf0(sbrdtbr0(W0),szNzAzT0)
| isFinite0(W0) )
& ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
| ~ isFinite0(W0) ) ) ),
inference(NNF_transformation,[status(esa)],[f205]) ).
fof(f207,plain,
! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0) ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f213,plain,
! [W0] :
( ~ aSet0(W0)
| ~ isFinite0(W0)
| ! [W1] :
( ~ aElement0(W1)
| aElementOf0(W1,W0)
| sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f43]) ).
fof(f214,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ aElement0(X1)
| aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ),
inference(cnf_transformation,[status(esa)],[f213]) ).
fof(f383,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f384,plain,
szszuzczcdt0(xk) = xK,
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f404,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( ~ aElementOf0(W1,sdtlpdtrp0(xN,W0))
| aElementOf0(W1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f82]) ).
fof(f405,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[status(esa)],[f404]) ).
fof(f419,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f420,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(W0)
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& aSet0(xQ)
& ! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(pre_NNF_transformation,[status(esa)],[f86]) ).
fof(f421,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( ( ~ aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(W0)
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& ( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(W0)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& aSet0(xQ)
& ! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(NNF_transformation,[status(esa)],[f420]) ).
fof(f422,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( ~ aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(W0)
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(W0)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) )
& aSet0(xQ)
& ! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(miniscoping,[status(esa)],[f421]) ).
fof(f428,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| X0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f430,plain,
aSet0(xQ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f431,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f433,plain,
sbrdtbr0(xQ) = xk,
inference(cnf_transformation,[status(esa)],[f422]) ).
fof(f435,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(W0)
& ( aElementOf0(W0,xQ)
| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
& sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK ),
inference(pre_NNF_transformation,[status(esa)],[f88]) ).
fof(f436,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( ( ~ aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(W0)
& ( aElementOf0(W0,xQ)
| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
& ( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(W0)
| ( ~ aElementOf0(W0,xQ)
& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
& sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK ),
inference(NNF_transformation,[status(esa)],[f435]) ).
fof(f437,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W0] :
( ~ aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(W0)
& ( aElementOf0(W0,xQ)
| W0 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
& ! [W0] :
( aElementOf0(W0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(W0)
| ( ~ aElementOf0(W0,xQ)
& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK ),
inference(miniscoping,[status(esa)],[f436]) ).
fof(f438,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[status(esa)],[f437]) ).
fof(f445,plain,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
inference(cnf_transformation,[status(esa)],[f437]) ).
fof(f538,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(destructive_equality_resolution,[status(esa)],[f428]) ).
fof(f548,plain,
( spl0_0
<=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f577,plain,
! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
| spl0_0 ),
inference(resolution,[status(thm)],[f550,f96]) ).
fof(f578,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| spl0_0 ),
inference(resolution,[status(thm)],[f577,f438]) ).
fof(f579,plain,
( spl0_2
<=> aSet0(xQ) ),
introduced(split_symbol_definition) ).
fof(f581,plain,
( ~ aSet0(xQ)
| spl0_2 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f591,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f430]) ).
fof(f592,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f595,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl0_0 ),
inference(resolution,[status(thm)],[f578,f405]) ).
fof(f596,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f419]) ).
fof(f597,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f1555,plain,
( spl0_91
<=> isFinite0(xQ) ),
introduced(split_symbol_definition) ).
fof(f2039,plain,
( spl0_123
<=> aElementOf0(xk,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f2041,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl0_123 ),
inference(component_clause,[status(thm)],[f2039]) ).
fof(f3875,plain,
! [X0] :
( ~ aSet0(X0)
| ~ isFinite0(X0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
| sbrdtbr0(sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,xi)))) = szszuzczcdt0(sbrdtbr0(X0))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f549,f214]) ).
fof(f14283,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(xk,szNzAzT0)
| isFinite0(xQ) ),
inference(paramodulation,[status(thm)],[f433,f207]) ).
fof(f14284,plain,
( ~ spl0_2
| ~ spl0_123
| spl0_91 ),
inference(split_clause,[status(thm)],[f14283,f579,f2039,f1555]) ).
fof(f15661,plain,
( spl0_1274
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
introduced(split_symbol_definition) ).
fof(f15662,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ spl0_1274 ),
inference(component_clause,[status(thm)],[f15661]) ).
fof(f31933,plain,
( $false
| ~ spl0_1274 ),
inference(forward_subsumption_resolution,[status(thm)],[f15662,f538]) ).
fof(f31934,plain,
~ spl0_1274,
inference(contradiction_clause,[status(thm)],[f31933]) ).
fof(f32096,plain,
( spl0_2557
<=> sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = szszuzczcdt0(sbrdtbr0(xQ)) ),
introduced(split_symbol_definition) ).
fof(f32097,plain,
( sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = szszuzczcdt0(sbrdtbr0(xQ))
| ~ spl0_2557 ),
inference(component_clause,[status(thm)],[f32096]) ).
fof(f32138,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = szszuzczcdt0(sbrdtbr0(xQ))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f3875,f431]) ).
fof(f32139,plain,
( ~ spl0_2
| ~ spl0_91
| spl0_2557
| spl0_1274
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f32138,f579,f1555,f32096,f15661,f548]) ).
fof(f32601,plain,
( sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = szszuzczcdt0(xk)
| ~ spl0_2557 ),
inference(forward_demodulation,[status(thm)],[f433,f32097]) ).
fof(f32602,plain,
( sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK
| ~ spl0_2557 ),
inference(forward_demodulation,[status(thm)],[f384,f32601]) ).
fof(f32603,plain,
( $false
| ~ spl0_2557 ),
inference(forward_subsumption_resolution,[status(thm)],[f32602,f445]) ).
fof(f32604,plain,
~ spl0_2557,
inference(contradiction_clause,[status(thm)],[f32603]) ).
fof(f32617,plain,
( $false
| spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f383]) ).
fof(f32618,plain,
spl0_123,
inference(contradiction_clause,[status(thm)],[f32617]) ).
fof(f32619,plain,
$false,
inference(sat_refutation,[status(thm)],[f592,f597,f14284,f31934,f32139,f32604,f32618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM580+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.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 : Mon Apr 29 20:41:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 173.72/22.26 % Refutation found
% 173.72/22.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 173.72/22.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 174.18/22.35 % Elapsed time: 21.994200 seconds
% 174.18/22.35 % CPU time: 174.362854 seconds
% 174.18/22.35 % Total memory used: 535.019 MB
% 174.18/22.35 % Net memory used: 517.272 MB
%------------------------------------------------------------------------------