TSTP Solution File: NUM443+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM443+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %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 : Sun May 5 08:27:47 EDT 2024
% Result : Theorem 4.13s 1.01s
% Output : Refutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 14 unt; 0 def)
% Number of atoms : 413 ( 53 equ)
% Maximal formula atoms : 34 ( 7 avg)
% Number of connectives : 522 ( 161 ~; 138 |; 200 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 89 ( 63 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10026,plain,
$false,
inference(subsumption_resolution,[],[f10025,f234]) ).
fof(f234,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( sz00 != xq
& aInteger0(xq)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1962) ).
fof(f10025,plain,
~ aInteger0(xa),
inference(subsumption_resolution,[],[f10024,f232]) ).
fof(f232,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( aInteger0(xc)
& aInteger0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2010) ).
fof(f10024,plain,
( ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f10023,f235]) ).
fof(f235,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f41]) ).
fof(f10023,plain,
( ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f10022,f236]) ).
fof(f236,plain,
sz00 != xq,
inference(cnf_transformation,[],[f41]) ).
fof(f10022,plain,
( sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f10017,f644]) ).
fof(f644,plain,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(subsumption_resolution,[],[f642,f232]) ).
fof(f642,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ~ aInteger0(xb) ),
inference(resolution,[],[f215,f216]) ).
fof(f216,plain,
~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ! [X1] :
( sdtasdt0(xq,X1) != sdtpldt0(X0,smndt0(xa))
| ~ aInteger0(X1) ) )
| ~ aInteger0(X0) )
& ( ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sP1(X0)
& aInteger0(X0) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdtpldt0(xc,smndt0(xb)) = sdtasdt0(xq,sK16)
& aInteger0(sK16)
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X3,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ! [X4] :
( sdtpldt0(X3,smndt0(xa)) != sdtasdt0(xq,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& sP0(X3)
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f137,f138]) ).
fof(f138,plain,
( ? [X2] :
( sdtpldt0(xc,smndt0(xb)) = sdtasdt0(xq,X2)
& aInteger0(X2) )
=> ( sdtpldt0(xc,smndt0(xb)) = sdtasdt0(xq,sK16)
& aInteger0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ! [X1] :
( sdtasdt0(xq,X1) != sdtpldt0(X0,smndt0(xa))
| ~ aInteger0(X1) ) )
| ~ aInteger0(X0) )
& ( ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& sP1(X0)
& aInteger0(X0) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X2] :
( sdtpldt0(xc,smndt0(xb)) = sdtasdt0(xq,X2)
& aInteger0(X2) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X3,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ! [X4] :
( sdtpldt0(X3,smndt0(xa)) != sdtasdt0(xq,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& sP0(X3)
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X4,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
& ! [X5] :
( sdtpldt0(X4,smndt0(xa)) != sdtasdt0(xq,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
& sP1(X4)
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb))
& aInteger0(X0) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ! [X2] :
( sdtpldt0(X1,smndt0(xa)) != sdtasdt0(xq,X2)
| ~ aInteger0(X2) ) )
| ~ aInteger0(X1) )
& ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sP0(X1)
& aInteger0(X1) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(definition_folding,[],[f54,f108,f107]) ).
fof(f107,plain,
! [X1] :
( ? [X3] :
( sdtpldt0(X1,smndt0(xa)) = sdtasdt0(xq,X3)
& aInteger0(X3) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f108,plain,
! [X4] :
( ? [X6] :
( sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,X6)
& aInteger0(X6) )
| ~ sP1(X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f54,plain,
( ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X4,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
& ! [X5] :
( sdtpldt0(X4,smndt0(xa)) != sdtasdt0(xq,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
& ? [X6] :
( sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb))
& aInteger0(X0) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ! [X2] :
( sdtpldt0(X1,smndt0(xa)) != sdtasdt0(xq,X2)
| ~ aInteger0(X2) ) )
| ~ aInteger0(X1) )
& ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ? [X3] :
( sdtpldt0(X1,smndt0(xa)) = sdtasdt0(xq,X3)
& aInteger0(X3) )
& aInteger0(X1) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
( ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X4,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
& ! [X5] :
( sdtpldt0(X4,smndt0(xa)) != sdtasdt0(xq,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
& ? [X6] :
( sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb))
& aInteger0(X0) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ! [X2] :
( sdtpldt0(X1,smndt0(xa)) != sdtasdt0(xq,X2)
| ~ aInteger0(X2) ) )
| ~ aInteger0(X1) )
& ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ? [X3] :
( sdtpldt0(X1,smndt0(xa)) = sdtasdt0(xq,X3)
& aInteger0(X3) )
& aInteger0(X1) )
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
~ ( ( sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb))
& aInteger0(X0) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| ? [X2] :
( sdtpldt0(X1,smndt0(xa)) = sdtasdt0(xq,X2)
& aInteger0(X2) ) )
& aInteger0(X1) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& ? [X3] :
( sdtpldt0(X1,smndt0(xa)) = sdtasdt0(xq,X3)
& aInteger0(X3) )
& aInteger0(X1) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( ( ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
| ? [X5] :
( sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,X5)
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X4,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X4,smndt0(xa)))
& ? [X6] :
( sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,X6)
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ( ( sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb))
& aInteger0(X0) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( ( ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) ) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
& aInteger0(X0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( ( ! [X0] :
( ( ( ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) ) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
& aInteger0(X0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
( ( sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb))
& aInteger0(X0) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( ( ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) ) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
& aInteger0(X0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( ( ! [X0] :
( ( ( ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) ) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
& aInteger0(X0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f215,plain,
! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X3,xa,xq)
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f10017,plain,
( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(resolution,[],[f9457,f341]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X1,X0,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
=> sdteqdtlpzmzozddtrp0(X1,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
fof(f9457,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(subsumption_resolution,[],[f9451,f234]) ).
fof(f9451,plain,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ~ aInteger0(xa) ),
inference(resolution,[],[f7940,f6092]) ).
fof(f6092,plain,
sdteqdtlpzmzozddtrp0(xa,xc,xq),
inference(subsumption_resolution,[],[f6091,f233]) ).
fof(f233,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f42]) ).
fof(f6091,plain,
( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| ~ aInteger0(xc) ),
inference(subsumption_resolution,[],[f6090,f234]) ).
fof(f6090,plain,
( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| ~ aInteger0(xa)
| ~ aInteger0(xc) ),
inference(subsumption_resolution,[],[f6089,f235]) ).
fof(f6089,plain,
( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(xc) ),
inference(subsumption_resolution,[],[f6075,f236]) ).
fof(f6075,plain,
( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(xc) ),
inference(resolution,[],[f341,f372]) ).
fof(f372,plain,
sdteqdtlpzmzozddtrp0(xc,xa,xq),
inference(resolution,[],[f212,f230]) ).
fof(f230,plain,
aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(cnf_transformation,[],[f139]) ).
fof(f212,plain,
! [X3] :
( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdteqdtlpzmzozddtrp0(X3,xa,xq) ),
inference(cnf_transformation,[],[f139]) ).
fof(f7940,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xc,xq)
| sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ aInteger0(X0) ),
inference(subsumption_resolution,[],[f7939,f233]) ).
fof(f7939,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xc,xq)
| ~ aInteger0(xc)
| ~ aInteger0(X0) ),
inference(subsumption_resolution,[],[f7938,f235]) ).
fof(f7938,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xc,xq)
| ~ aInteger0(xq)
| ~ aInteger0(xc)
| ~ aInteger0(X0) ),
inference(subsumption_resolution,[],[f7937,f236]) ).
fof(f7937,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xc,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xc)
| ~ aInteger0(X0) ),
inference(subsumption_resolution,[],[f7876,f232]) ).
fof(f7876,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xc,xq)
| ~ aInteger0(xb)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xc)
| ~ aInteger0(X0) ),
inference(resolution,[],[f350,f221]) ).
fof(f221,plain,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
inference(cnf_transformation,[],[f139]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( aInteger0(X3)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X3,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
=> sdteqdtlpzmzozddtrp0(X0,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM443+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 15:27:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (3773)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3776)WARNING: value z3 for option sas not known
% 0.15/0.38 % (3775)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (3777)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (3776)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (3778)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (3774)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (3779)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (3780)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.41 TRYING [3]
% 0.15/0.41 TRYING [3]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 TRYING [4]
% 0.22/0.50 TRYING [1]
% 0.22/0.50 TRYING [2]
% 0.22/0.50 TRYING [3]
% 0.22/0.54 TRYING [4]
% 0.22/0.54 TRYING [5]
% 0.22/0.56 TRYING [5]
% 1.94/0.64 TRYING [5]
% 2.56/0.73 TRYING [6]
% 2.93/0.80 TRYING [6]
% 4.13/0.99 TRYING [6]
% 4.13/1.01 % (3776)First to succeed.
% 4.13/1.01 % (3776)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3773"
% 4.13/1.01 % (3776)Refutation found. Thanks to Tanya!
% 4.13/1.01 % SZS status Theorem for theBenchmark
% 4.13/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.13/1.01 % (3776)------------------------------
% 4.13/1.01 % (3776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.13/1.01 % (3776)Termination reason: Refutation
% 4.13/1.01
% 4.13/1.01 % (3776)Memory used [KB]: 11420
% 4.13/1.01 % (3776)Time elapsed: 0.629 s
% 4.13/1.01 % (3776)Instructions burned: 1377 (million)
% 4.13/1.01 % (3773)Success in time 0.631 s
%------------------------------------------------------------------------------