TSTP Solution File: NUM443+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM443+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %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 : Sun May 5 08:12:05 EDT 2024
% Result : Theorem 0.67s 0.91s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 534 ( 82 equ)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 705 ( 233 ~; 220 |; 219 &)
% ( 6 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 138 ( 107 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,plain,
$false,
inference(subsumption_resolution,[],[f581,f240]) ).
fof(f240,plain,
sdteqdtlpzmzozddtrp0(xc,xa,xq),
inference(subsumption_resolution,[],[f239,f120]) ).
fof(f120,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( sz00 != xq
& aInteger0(xq)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.5ZJ8vbCajo/Vampire---4.8_6215',m__1962) ).
fof(f239,plain,
( sdteqdtlpzmzozddtrp0(xc,xa,xq)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f238,f121]) ).
fof(f121,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f41]) ).
fof(f238,plain,
( sdteqdtlpzmzozddtrp0(xc,xa,xq)
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f237,f122]) ).
fof(f122,plain,
sz00 != xq,
inference(cnf_transformation,[],[f41]) ).
fof(f237,plain,
( sdteqdtlpzmzozddtrp0(xc,xa,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(resolution,[],[f149,f212]) ).
fof(f212,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sdteqdtlpzmzozddtrp0(X4,X0,X1)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X2,X0,X1,X4] :
( sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aElementOf0(X4,X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ( ( ~ sdteqdtlpzmzozddtrp0(sK8(X0,X1,X2),X0,X1)
| ~ aInteger0(sK8(X0,X1,X2))
| ~ aElementOf0(sK8(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK8(X0,X1,X2),X0,X1)
& aInteger0(sK8(X0,X1,X2)) )
| aElementOf0(sK8(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X0,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f117,f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ sdteqdtlpzmzozddtrp0(sK8(X0,X1,X2),X0,X1)
| ~ aInteger0(sK8(X0,X1,X2))
| ~ aElementOf0(sK8(X0,X1,X2),X2) )
& ( ( sdteqdtlpzmzozddtrp0(sK8(X0,X1,X2),X0,X1)
& aInteger0(sK8(X0,X1,X2)) )
| aElementOf0(sK8(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X0,X1)
& aInteger0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ! [X2] :
( ( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ? [X3] :
( ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2 ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) )
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( sz00 != X1
& aInteger0(X1)
& aInteger0(X0) )
=> ! [X2] :
( szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aInteger0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5ZJ8vbCajo/Vampire---4.8_6215',mArSeq) ).
fof(f149,plain,
aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,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)))
& sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,sK0(X0))
& aInteger0(sK0(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,sK1)
& aInteger0(sK1)
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,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)))
& sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,sK2(X4))
& aInteger0(sK2(X4))
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f88,f91,f90,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X2] :
( sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,X2)
& aInteger0(X2) )
=> ( sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,sK0(X0))
& aInteger0(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X3] :
( sdtpldt0(xc,smndt0(xb)) = sdtasdt0(xq,X3)
& aInteger0(X3) )
=> ( sdtpldt0(xc,smndt0(xb)) = sdtasdt0(xq,sK1)
& aInteger0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X4] :
( ? [X6] :
( sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,X6)
& aInteger0(X6) )
=> ( sdtpldt0(X4,smndt0(xa)) = sdtasdt0(xq,sK2(X4))
& aInteger0(sK2(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,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)))
& ? [X2] :
( sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,X2)
& aInteger0(X2) )
& aInteger0(X0) )
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& ? [X3] :
( sdtpldt0(xc,smndt0(xb)) = sdtasdt0(xq,X3)
& aInteger0(X3) )
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(xb,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)) ),
inference(rectify,[],[f50]) ).
fof(f50,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,[],[f49]) ).
fof(f49,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/tmp/tmp.5ZJ8vbCajo/Vampire---4.8_6215',m__) ).
fof(f581,plain,
~ sdteqdtlpzmzozddtrp0(xc,xa,xq),
inference(subsumption_resolution,[],[f573,f124]) ).
fof(f124,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( aInteger0(xc)
& aInteger0(xb) ),
file('/export/starexec/sandbox2/tmp/tmp.5ZJ8vbCajo/Vampire---4.8_6215',m__2010) ).
fof(f573,plain,
( ~ aInteger0(xc)
| ~ sdteqdtlpzmzozddtrp0(xc,xa,xq) ),
inference(resolution,[],[f414,f139]) ).
fof(f139,plain,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
inference(cnf_transformation,[],[f92]) ).
fof(f414,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) ),
inference(subsumption_resolution,[],[f413,f123]) ).
fof(f123,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f42]) ).
fof(f413,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ aInteger0(xb) ),
inference(subsumption_resolution,[],[f412,f121]) ).
fof(f412,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xb,xq)
| ~ aInteger0(xq)
| ~ aInteger0(xb) ),
inference(subsumption_resolution,[],[f411,f122]) ).
fof(f411,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xb,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xb) ),
inference(duplicate_literal_removal,[],[f406]) ).
fof(f406,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xb,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ aInteger0(X0) ),
inference(resolution,[],[f229,f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,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/tmp/tmp.5ZJ8vbCajo/Vampire---4.8_6215',mEquModSym) ).
fof(f229,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(xb,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0) ),
inference(subsumption_resolution,[],[f228,f123]) ).
fof(f228,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xb,X0,xq)
| ~ aInteger0(X0)
| ~ aInteger0(xb) ),
inference(subsumption_resolution,[],[f227,f121]) ).
fof(f227,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xb,X0,xq)
| ~ aInteger0(xq)
| ~ aInteger0(X0)
| ~ aInteger0(xb) ),
inference(subsumption_resolution,[],[f226,f122]) ).
fof(f226,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xb,X0,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(X0)
| ~ aInteger0(xb) ),
inference(subsumption_resolution,[],[f221,f120]) ).
fof(f221,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(xb,X0,xq)
| ~ aInteger0(xa)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(X0)
| ~ aInteger0(xb) ),
inference(resolution,[],[f219,f164]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,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,[],[f58]) ).
fof(f58,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/tmp/tmp.5ZJ8vbCajo/Vampire---4.8_6215',mEquModTrn) ).
fof(f219,plain,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(subsumption_resolution,[],[f218,f120]) ).
fof(f218,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f217,f121]) ).
fof(f217,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f216,f122]) ).
fof(f216,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f215,f123]) ).
fof(f215,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
| ~ aInteger0(xb)
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(resolution,[],[f134,f211]) ).
fof(f211,plain,
! [X0,X1,X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) != X2
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f134,plain,
~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM443+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 15:27:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.5ZJ8vbCajo/Vampire---4.8_6215
% 0.67/0.90 % (6489)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.67/0.90 % (6488)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.67/0.90 % (6491)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.67/0.90 % (6494)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.67/0.90 % (6493)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.67/0.90 % (6495)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.67/0.90 % (6496)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.67/0.90 % (6492)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.67/0.91 % (6494)First to succeed.
% 0.67/0.91 % (6488)Also succeeded, but the first one will report.
% 0.67/0.91 % (6494)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6419"
% 0.67/0.91 % (6494)Refutation found. Thanks to Tanya!
% 0.67/0.91 % SZS status Theorem for Vampire---4
% 0.67/0.91 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.91 % (6494)------------------------------
% 0.67/0.91 % (6494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.91 % (6494)Termination reason: Refutation
% 0.67/0.91
% 0.67/0.91 % (6494)Memory used [KB]: 1214
% 0.67/0.91 % (6494)Time elapsed: 0.012 s
% 0.67/0.91 % (6494)Instructions burned: 20 (million)
% 0.67/0.91 % (6419)Success in time 0.532 s
% 0.67/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------