TSTP Solution File: NUM440+6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM440+6 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 08:12:03 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 44
% Syntax : Number of formulae : 200 ( 4 unt; 0 def)
% Number of atoms : 1526 ( 59 equ)
% Maximal formula atoms : 64 ( 7 avg)
% Number of connectives : 1891 ( 565 ~; 526 |; 638 &)
% ( 99 <=>; 60 =>; 0 <=; 3 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 32 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 319 ( 260 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f962,plain,
$false,
inference(avatar_sat_refutation,[],[f456,f461,f475,f502,f506,f524,f525,f526,f531,f539,f543,f547,f551,f557,f568,f574,f579,f609,f768,f778,f787,f795,f878,f903,f930,f944,f961]) ).
fof(f961,plain,
( ~ spl38_18
| ~ spl38_36 ),
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f960,plain,
( $false
| ~ spl38_18
| ~ spl38_36 ),
inference(subsumption_resolution,[],[f958,f522]) ).
fof(f522,plain,
( aElementOf0(sK23,stldt0(xB))
| ~ spl38_18 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl38_18
<=> aElementOf0(sK23,stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_18])]) ).
fof(f958,plain,
( ~ aElementOf0(sK23,stldt0(xB))
| ~ spl38_36 ),
inference(resolution,[],[f766,f268]) ).
fof(f268,plain,
! [X3] :
( ~ aElementOf0(X3,xB)
| ~ aElementOf0(X3,stldt0(xB)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0))) )
& sP1(sK19(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)))
& sz00 != sK19(X0)
& aInteger0(sK19(X0)) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(xB))
| aElementOf0(X3,xB)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,xB)
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X4] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,sK20(X4)),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,sK20(X4))) )
& sP0(sK20(X4),X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,sK20(X4)))
& sz00 != sK20(X4)
& aInteger0(sK20(X4)) )
| ~ aElementOf0(X4,stldt0(xA)) )
& ! [X7] :
( ( aElementOf0(X7,stldt0(xA))
| aElementOf0(X7,xA)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xA)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,xB) )
& aSet0(xB)
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X10] :
( aElementOf0(X10,cS1395)
| ~ aElementOf0(X10,xA) )
& aSet0(xA)
& ! [X11] :
( ( aElementOf0(X11,cS1395)
| ~ aInteger0(X11) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,cS1395) ) )
& aSet0(cS1395) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f135,f137,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP1(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0))) )
& sP1(sK19(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK19(X0)))
& sz00 != sK19(X0)
& aInteger0(sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X4] :
( ? [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,X5),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,X5)) )
& sP0(X5,X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,X5))
& sz00 != X5
& aInteger0(X5) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,sK20(X4)),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,sK20(X4))) )
& sP0(sK20(X4),X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,sK20(X4)))
& sz00 != sK20(X4)
& aInteger0(sK20(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP1(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(xB))
| aElementOf0(X3,xB)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,xB)
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X4] :
( ? [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,X5),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,X5)) )
& sP0(X5,X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,X5))
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X4,stldt0(xA)) )
& ! [X7] :
( ( aElementOf0(X7,stldt0(xA))
| aElementOf0(X7,xA)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xA)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,xB) )
& aSet0(xB)
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X10] :
( aElementOf0(X10,cS1395)
| ~ aElementOf0(X10,xA) )
& aSet0(xA)
& ! [X11] :
( ( aElementOf0(X11,cS1395)
| ~ aInteger0(X11) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,cS1395) ) )
& aSet0(cS1395) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP1(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(xB))
| aElementOf0(X6,xB)
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,xB)
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP0(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) )
& ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( ( aElementOf0(X15,cS1395)
| ~ aInteger0(X15) )
& ( aInteger0(X15)
| ~ aElementOf0(X15,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( ( aElementOf0(X17,cS1395)
| ~ aInteger0(X17) )
& ( aInteger0(X17)
| ~ aElementOf0(X17,cS1395) ) )
& aSet0(cS1395) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP1(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(xB))
| aElementOf0(X6,xB)
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,xB)
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP0(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) )
& ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( ( aElementOf0(X15,cS1395)
| ~ aInteger0(X15) )
& ( aInteger0(X15)
| ~ aElementOf0(X15,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( ( aElementOf0(X17,cS1395)
| ~ aInteger0(X17) )
& ( aInteger0(X17)
| ~ aElementOf0(X17,cS1395) ) )
& aSet0(cS1395) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP1(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP0(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(definition_folding,[],[f50,f104,f103]) ).
fof(f103,plain,
! [X8,X7] :
( ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
| ~ sP0(X8,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f104,plain,
! [X1,X0] :
( ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f50,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& ! [X3] :
( ( ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
| ? [X4] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
=> ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> aElementOf0(X9,stldt0(xA)) )
& ! [X10] :
( ( ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
| aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
| ? [X11] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X11)
& aInteger0(X11) ) )
& aInteger0(X10) )
=> aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) ) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,xB)
=> aElementOf0(X14,cS1395) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,xA)
=> aElementOf0(X16,cS1395) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xA)) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,cS1395) )
& aSet0(xB)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,cS1395) )
& aSet0(xA)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) ),
file('/export/starexec/sandbox/tmp/tmp.QrICf24lzW/Vampire---4.8_26683',m__1826) ).
fof(f766,plain,
( aElementOf0(sK23,xB)
| ~ spl38_36 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl38_36
<=> aElementOf0(sK23,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_36])]) ).
fof(f944,plain,
( ~ spl38_17
| ~ spl38_23
| spl38_36
| ~ spl38_38 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| ~ spl38_17
| ~ spl38_23
| spl38_36
| ~ spl38_38 ),
inference(subsumption_resolution,[],[f941,f518]) ).
fof(f518,plain,
( aElementOf0(sK23,stldt0(xA))
| ~ spl38_17 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl38_17
<=> aElementOf0(sK23,stldt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_17])]) ).
fof(f941,plain,
( ~ aElementOf0(sK23,stldt0(xA))
| ~ spl38_23
| spl38_36
| ~ spl38_38 ),
inference(resolution,[],[f938,f256]) ).
fof(f256,plain,
! [X7] :
( ~ aElementOf0(X7,xA)
| ~ aElementOf0(X7,stldt0(xA)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f938,plain,
( aElementOf0(sK23,xA)
| ~ spl38_23
| spl38_36
| ~ spl38_38 ),
inference(subsumption_resolution,[],[f936,f767]) ).
fof(f767,plain,
( ~ aElementOf0(sK23,xB)
| spl38_36 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f936,plain,
( aElementOf0(sK23,xB)
| aElementOf0(sK23,xA)
| ~ spl38_23
| ~ spl38_38 ),
inference(resolution,[],[f902,f546]) ).
fof(f546,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
| ~ spl38_23 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f545,plain,
( spl38_23
<=> ! [X0] :
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aElementOf0(X0,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_23])]) ).
fof(f902,plain,
( aElementOf0(sK23,sdtbsmnsldt0(xA,xB))
| ~ spl38_38 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f900,plain,
( spl38_38
<=> aElementOf0(sK23,sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_38])]) ).
fof(f930,plain,
( ~ spl38_24
| ~ spl38_29
| spl38_37 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f929,plain,
( $false
| ~ spl38_24
| ~ spl38_29
| spl38_37 ),
inference(subsumption_resolution,[],[f919,f907]) ).
fof(f907,plain,
( ~ aInteger0(sK27(cS1395,sdtbsmnsldt0(xA,xB)))
| ~ spl38_29
| spl38_37 ),
inference(subsumption_resolution,[],[f905,f578]) ).
fof(f578,plain,
( aSet0(sdtbsmnsldt0(xA,xB))
| ~ spl38_29 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl38_29
<=> aSet0(sdtbsmnsldt0(xA,xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_29])]) ).
fof(f905,plain,
( ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK27(cS1395,sdtbsmnsldt0(xA,xB)))
| spl38_37 ),
inference(resolution,[],[f898,f847]) ).
fof(f847,plain,
! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aSet0(X0)
| ~ aInteger0(sK27(cS1395,X0)) ),
inference(subsumption_resolution,[],[f843,f248]) ).
fof(f248,plain,
aSet0(cS1395),
inference(cnf_transformation,[],[f138]) ).
fof(f843,plain,
! [X0] :
( aSubsetOf0(X0,cS1395)
| ~ aSet0(X0)
| ~ aSet0(cS1395)
| ~ aInteger0(sK27(cS1395,X0)) ),
inference(resolution,[],[f370,f250]) ).
fof(f250,plain,
! [X9] :
( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) ),
inference(cnf_transformation,[],[f138]) ).
fof(f370,plain,
! [X0,X1] :
( ~ aElementOf0(sK27(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK27(X0,X1),X0)
& aElementOf0(sK27(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f187,f188]) ).
fof(f188,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK27(X0,X1),X0)
& aElementOf0(sK27(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QrICf24lzW/Vampire---4.8_26683',mSubset) ).
fof(f898,plain,
( ~ aSubsetOf0(sdtbsmnsldt0(xA,xB),cS1395)
| spl38_37 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl38_37
<=> aSubsetOf0(sdtbsmnsldt0(xA,xB),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_37])]) ).
fof(f919,plain,
( aInteger0(sK27(cS1395,sdtbsmnsldt0(xA,xB)))
| ~ spl38_24
| ~ spl38_29
| spl38_37 ),
inference(resolution,[],[f909,f550]) ).
fof(f550,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| aInteger0(X0) )
| ~ spl38_24 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl38_24
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_24])]) ).
fof(f909,plain,
( aElementOf0(sK27(cS1395,sdtbsmnsldt0(xA,xB)),sdtbsmnsldt0(xA,xB))
| ~ spl38_29
| spl38_37 ),
inference(subsumption_resolution,[],[f908,f248]) ).
fof(f908,plain,
( aElementOf0(sK27(cS1395,sdtbsmnsldt0(xA,xB)),sdtbsmnsldt0(xA,xB))
| ~ aSet0(cS1395)
| ~ spl38_29
| spl38_37 ),
inference(subsumption_resolution,[],[f906,f578]) ).
fof(f906,plain,
( aElementOf0(sK27(cS1395,sdtbsmnsldt0(xA,xB)),sdtbsmnsldt0(xA,xB))
| ~ aSet0(sdtbsmnsldt0(xA,xB))
| ~ aSet0(cS1395)
| spl38_37 ),
inference(resolution,[],[f898,f369]) ).
fof(f369,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK27(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f903,plain,
( ~ spl38_37
| spl38_38
| spl38_16
| ~ spl38_19 ),
inference(avatar_split_clause,[],[f894,f528,f513,f900,f896]) ).
fof(f513,plain,
( spl38_16
<=> aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_16])]) ).
fof(f528,plain,
( spl38_19
<=> aInteger0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_19])]) ).
fof(f894,plain,
( aElementOf0(sK23,sdtbsmnsldt0(xA,xB))
| ~ aSubsetOf0(sdtbsmnsldt0(xA,xB),cS1395)
| spl38_16
| ~ spl38_19 ),
inference(subsumption_resolution,[],[f892,f530]) ).
fof(f530,plain,
( aInteger0(sK23)
| ~ spl38_19 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f892,plain,
( aElementOf0(sK23,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(sK23)
| ~ aSubsetOf0(sdtbsmnsldt0(xA,xB),cS1395)
| spl38_16 ),
inference(resolution,[],[f436,f515]) ).
fof(f515,plain,
( ~ aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| spl38_16 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f436,plain,
! [X3,X0] :
( aElementOf0(X3,stldt0(X0))
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| ~ aSubsetOf0(X0,cS1395) ),
inference(equality_resolution,[],[f384]) ).
fof(f384,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3)
| stldt0(X0) != X1
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ( ( aElementOf0(sK31(X0,X1),X0)
| ~ aInteger0(sK31(X0,X1))
| ~ aElementOf0(sK31(X0,X1),X1) )
& ( ( ~ aElementOf0(sK31(X0,X1),X0)
& aInteger0(sK31(X0,X1)) )
| aElementOf0(sK31(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
=> ( ( aElementOf0(sK31(X0,X1),X0)
| ~ aInteger0(sK31(X0,X1))
| ~ aElementOf0(sK31(X0,X1),X1) )
& ( ( ~ aElementOf0(sK31(X0,X1),X0)
& aInteger0(sK31(X0,X1)) )
| aElementOf0(sK31(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,X0)
& aInteger0(X3) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( stldt0(X0) = X1
| ? [X2] :
( ( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aElementOf0(X2,X1) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,X0)
& aInteger0(X2) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| stldt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) )
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aSubsetOf0(X0,cS1395)
=> ! [X1] :
( stldt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( ~ aElementOf0(X2,X0)
& aInteger0(X2) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QrICf24lzW/Vampire---4.8_26683',mComplement) ).
fof(f878,plain,
spl38_7,
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| spl38_7 ),
inference(subsumption_resolution,[],[f876,f842]) ).
fof(f842,plain,
( aInteger0(sK27(cS1395,stldt0(xA)))
| spl38_7 ),
inference(resolution,[],[f837,f255]) ).
fof(f255,plain,
! [X7] :
( ~ aElementOf0(X7,stldt0(xA))
| aInteger0(X7) ),
inference(cnf_transformation,[],[f138]) ).
fof(f837,plain,
( aElementOf0(sK27(cS1395,stldt0(xA)),stldt0(xA))
| spl38_7 ),
inference(subsumption_resolution,[],[f836,f248]) ).
fof(f836,plain,
( aElementOf0(sK27(cS1395,stldt0(xA)),stldt0(xA))
| ~ aSet0(cS1395)
| spl38_7 ),
inference(subsumption_resolution,[],[f830,f254]) ).
fof(f254,plain,
aSet0(stldt0(xA)),
inference(cnf_transformation,[],[f138]) ).
fof(f830,plain,
( aElementOf0(sK27(cS1395,stldt0(xA)),stldt0(xA))
| ~ aSet0(stldt0(xA))
| ~ aSet0(cS1395)
| spl38_7 ),
inference(resolution,[],[f369,f474]) ).
fof(f474,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| spl38_7 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f472,plain,
( spl38_7
<=> aSubsetOf0(stldt0(xA),cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_7])]) ).
fof(f876,plain,
( ~ aInteger0(sK27(cS1395,stldt0(xA)))
| spl38_7 ),
inference(subsumption_resolution,[],[f871,f254]) ).
fof(f871,plain,
( ~ aSet0(stldt0(xA))
| ~ aInteger0(sK27(cS1395,stldt0(xA)))
| spl38_7 ),
inference(resolution,[],[f847,f474]) ).
fof(f795,plain,
( ~ spl38_13
| ~ spl38_16
| spl38_17
| ~ spl38_19
| ~ spl38_22 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl38_13
| ~ spl38_16
| spl38_17
| ~ spl38_19
| ~ spl38_22 ),
inference(subsumption_resolution,[],[f793,f762]) ).
fof(f762,plain,
( ~ aElementOf0(sK23,sdtbsmnsldt0(xA,xB))
| ~ spl38_13
| ~ spl38_16 ),
inference(resolution,[],[f501,f514]) ).
fof(f514,plain,
( aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl38_16 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f501,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl38_13 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl38_13
<=> ! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_13])]) ).
fof(f793,plain,
( aElementOf0(sK23,sdtbsmnsldt0(xA,xB))
| spl38_17
| ~ spl38_19
| ~ spl38_22 ),
inference(subsumption_resolution,[],[f790,f530]) ).
fof(f790,plain,
( ~ aInteger0(sK23)
| aElementOf0(sK23,sdtbsmnsldt0(xA,xB))
| spl38_17
| ~ spl38_19
| ~ spl38_22 ),
inference(resolution,[],[f789,f542]) ).
fof(f542,plain,
( ! [X0] :
( ~ aElementOf0(X0,xA)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
| ~ spl38_22 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f541,plain,
( spl38_22
<=> ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_22])]) ).
fof(f789,plain,
( aElementOf0(sK23,xA)
| spl38_17
| ~ spl38_19 ),
inference(subsumption_resolution,[],[f788,f530]) ).
fof(f788,plain,
( aElementOf0(sK23,xA)
| ~ aInteger0(sK23)
| spl38_17 ),
inference(resolution,[],[f519,f257]) ).
fof(f257,plain,
! [X7] :
( aElementOf0(X7,stldt0(xA))
| aElementOf0(X7,xA)
| ~ aInteger0(X7) ),
inference(cnf_transformation,[],[f138]) ).
fof(f519,plain,
( ~ aElementOf0(sK23,stldt0(xA))
| spl38_17 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f787,plain,
( spl38_18
| ~ spl38_19
| spl38_36 ),
inference(avatar_split_clause,[],[f786,f765,f528,f521]) ).
fof(f786,plain,
( aElementOf0(sK23,stldt0(xB))
| ~ spl38_19
| spl38_36 ),
inference(subsumption_resolution,[],[f782,f530]) ).
fof(f782,plain,
( aElementOf0(sK23,stldt0(xB))
| ~ aInteger0(sK23)
| spl38_36 ),
inference(resolution,[],[f767,f269]) ).
fof(f269,plain,
! [X3] :
( aElementOf0(X3,xB)
| aElementOf0(X3,stldt0(xB))
| ~ aInteger0(X3) ),
inference(cnf_transformation,[],[f138]) ).
fof(f778,plain,
( ~ spl38_14
| ~ spl38_16
| spl38_19 ),
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f777,plain,
( $false
| ~ spl38_14
| ~ spl38_16
| spl38_19 ),
inference(subsumption_resolution,[],[f776,f514]) ).
fof(f776,plain,
( ~ aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ spl38_14
| spl38_19 ),
inference(resolution,[],[f529,f505]) ).
fof(f505,plain,
( ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
| ~ spl38_14 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl38_14
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f529,plain,
( ~ aInteger0(sK23)
| spl38_19 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f768,plain,
( ~ spl38_36
| ~ spl38_19
| ~ spl38_13
| ~ spl38_16
| ~ spl38_21 ),
inference(avatar_split_clause,[],[f763,f537,f513,f500,f528,f765]) ).
fof(f537,plain,
( spl38_21
<=> ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_21])]) ).
fof(f763,plain,
( ~ aInteger0(sK23)
| ~ aElementOf0(sK23,xB)
| ~ spl38_13
| ~ spl38_16
| ~ spl38_21 ),
inference(resolution,[],[f762,f538]) ).
fof(f538,plain,
( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xB) )
| ~ spl38_21 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f609,plain,
( spl38_3
| ~ spl38_4 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| spl38_3
| ~ spl38_4 ),
inference(subsumption_resolution,[],[f607,f605]) ).
fof(f605,plain,
( ~ aInteger0(sK21)
| spl38_3 ),
inference(resolution,[],[f455,f250]) ).
fof(f455,plain,
( ~ aElementOf0(sK21,cS1395)
| spl38_3 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl38_3
<=> aElementOf0(sK21,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_3])]) ).
fof(f607,plain,
( aInteger0(sK21)
| ~ spl38_4 ),
inference(resolution,[],[f267,f460]) ).
fof(f460,plain,
( aElementOf0(sK21,stldt0(xB))
| ~ spl38_4 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl38_4
<=> aElementOf0(sK21,stldt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_4])]) ).
fof(f267,plain,
! [X3] :
( ~ aElementOf0(X3,stldt0(xB))
| aInteger0(X3) ),
inference(cnf_transformation,[],[f138]) ).
fof(f579,plain,
( spl38_6
| spl38_1
| spl38_29 ),
inference(avatar_split_clause,[],[f317,f576,f444,f468]) ).
fof(f468,plain,
( spl38_6
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_6])]) ).
fof(f444,plain,
( spl38_1
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f317,plain,
( aSet0(sdtbsmnsldt0(xA,xB))
| sP10
| sP9 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& sP5
& sP8
& sP7
& sP6
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& sP4
& aSet0(sdtbsmnsldt0(xA,xB)) )
| sP10
| sP9 ),
inference(definition_folding,[],[f52,f114,f113,f112,f111,f110,f109,f108,f107,f106]) ).
fof(f106,plain,
( ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f107,plain,
( ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f108,plain,
( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f109,plain,
( ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f110,plain,
( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f111,plain,
( ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f112,plain,
( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f113,plain,
( ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& sP2
& aSet0(stldt0(xA)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f114,plain,
( ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& sP3
& aSet0(stldt0(xB)) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f52,plain,
( ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
| ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
| ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& aSet0(stldt0(xA)) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
( ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
| ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
| ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& aSet0(stldt0(xA)) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
=> ( ! [X3] :
( aElementOf0(X3,stldt0(xB))
<=> ( ~ aElementOf0(X3,xB)
& aInteger0(X3) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) ) ) ) ) ) ) )
& ( ( ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X7] :
( aElementOf0(X7,stldt0(xB))
=> aElementOf0(X7,cS1395) ) ) ) )
& ( ( ! [X8] :
( aElementOf0(X8,stldt0(xA))
<=> ( ~ aElementOf0(X8,xA)
& aInteger0(X8) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X10] :
( aElementOf0(X10,stldt0(xA))
=> aElementOf0(X10,cS1395) ) ) ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) ) ) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) ) ) ) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) ) ) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(stldt0(xA),cS1395)
| ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QrICf24lzW/Vampire---4.8_26683',m__) ).
fof(f574,plain,
( spl38_6
| spl38_1
| spl38_20 ),
inference(avatar_split_clause,[],[f318,f533,f444,f468]) ).
fof(f533,plain,
( spl38_20
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_20])]) ).
fof(f318,plain,
( sP4
| sP10
| sP9 ),
inference(cnf_transformation,[],[f115]) ).
fof(f568,plain,
( spl38_6
| spl38_1
| spl38_11 ),
inference(avatar_split_clause,[],[f320,f492,f444,f468]) ).
fof(f492,plain,
( spl38_11
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_11])]) ).
fof(f320,plain,
( sP6
| sP10
| sP9 ),
inference(cnf_transformation,[],[f115]) ).
fof(f557,plain,
( spl38_6
| spl38_1
| spl38_15 ),
inference(avatar_split_clause,[],[f323,f509,f444,f468]) ).
fof(f509,plain,
( spl38_15
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_15])]) ).
fof(f323,plain,
( sP5
| sP10
| sP9 ),
inference(cnf_transformation,[],[f115]) ).
fof(f551,plain,
( ~ spl38_20
| spl38_24 ),
inference(avatar_split_clause,[],[f307,f549,f533]) ).
fof(f307,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP4 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X0,xB)
& ~ aElementOf0(X0,xA) )
| ~ aInteger0(X0) )
& ( ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
| ~ sP4 ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X0,xB)
& ~ aElementOf0(X0,xA) )
| ~ aInteger0(X0) )
& ( ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f108]) ).
fof(f547,plain,
( ~ spl38_20
| spl38_23 ),
inference(avatar_split_clause,[],[f308,f545,f533]) ).
fof(f308,plain,
! [X0] :
( aElementOf0(X0,xB)
| aElementOf0(X0,xA)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP4 ),
inference(cnf_transformation,[],[f162]) ).
fof(f543,plain,
( ~ spl38_20
| spl38_22 ),
inference(avatar_split_clause,[],[f309,f541,f533]) ).
fof(f309,plain,
! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xA)
| ~ aInteger0(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f162]) ).
fof(f539,plain,
( ~ spl38_20
| spl38_21 ),
inference(avatar_split_clause,[],[f310,f537,f533]) ).
fof(f310,plain,
! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,xB)
| ~ aInteger0(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f162]) ).
fof(f531,plain,
( ~ spl38_15
| spl38_16
| spl38_19 ),
inference(avatar_split_clause,[],[f303,f528,f513,f509]) ).
fof(f303,plain,
( aInteger0(sK23)
| aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP5 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( ( ~ aElementOf0(sK23,stldt0(xB))
| ~ aElementOf0(sK23,stldt0(xA))
| ~ aInteger0(sK23)
| ~ aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(sK23,stldt0(xB))
& aElementOf0(sK23,stldt0(xA))
& aInteger0(sK23) )
| aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f158,f159]) ).
fof(f159,plain,
( ? [X0] :
( ( ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
=> ( ( ~ aElementOf0(sK23,stldt0(xB))
| ~ aElementOf0(sK23,stldt0(xA))
| ~ aInteger0(sK23)
| ~ aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(sK23,stldt0(xB))
& aElementOf0(sK23,stldt0(xA))
& aInteger0(sK23) )
| aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X0] :
( ( ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP5 ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
( ? [X4] :
( ( ~ aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) )
| aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP5 ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
( ? [X4] :
( ( ~ aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,stldt0(xA))
| ~ aInteger0(X4)
| ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ( aElementOf0(X4,stldt0(xB))
& aElementOf0(X4,stldt0(xA))
& aInteger0(X4) )
| aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f109]) ).
fof(f526,plain,
( ~ spl38_15
| spl38_16
| spl38_17 ),
inference(avatar_split_clause,[],[f304,f517,f513,f509]) ).
fof(f304,plain,
( aElementOf0(sK23,stldt0(xA))
| aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP5 ),
inference(cnf_transformation,[],[f160]) ).
fof(f525,plain,
( ~ spl38_15
| spl38_16
| spl38_18 ),
inference(avatar_split_clause,[],[f305,f521,f513,f509]) ).
fof(f305,plain,
( aElementOf0(sK23,stldt0(xB))
| aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP5 ),
inference(cnf_transformation,[],[f160]) ).
fof(f524,plain,
( ~ spl38_15
| ~ spl38_16
| ~ spl38_17
| ~ spl38_18 ),
inference(avatar_split_clause,[],[f507,f521,f517,f513,f509]) ).
fof(f507,plain,
( ~ aElementOf0(sK23,stldt0(xB))
| ~ aElementOf0(sK23,stldt0(xA))
| ~ aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP5 ),
inference(subsumption_resolution,[],[f306,f255]) ).
fof(f306,plain,
( ~ aElementOf0(sK23,stldt0(xB))
| ~ aElementOf0(sK23,stldt0(xA))
| ~ aInteger0(sK23)
| ~ aElementOf0(sK23,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP5 ),
inference(cnf_transformation,[],[f160]) ).
fof(f506,plain,
( ~ spl38_11
| spl38_14 ),
inference(avatar_split_clause,[],[f300,f504,f492]) ).
fof(f300,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP6 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ! [X0] :
( ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) )
& ( ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP6 ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
( ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP6 ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
( ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f110]) ).
fof(f502,plain,
( ~ spl38_11
| spl38_13 ),
inference(avatar_split_clause,[],[f301,f500,f492]) ).
fof(f301,plain,
! [X0] :
( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP6 ),
inference(cnf_transformation,[],[f155]) ).
fof(f475,plain,
( ~ spl38_6
| ~ spl38_7 ),
inference(avatar_split_clause,[],[f293,f472,f468]) ).
fof(f293,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ sP9 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ~ aElementOf0(sK22,cS1395)
& aElementOf0(sK22,stldt0(xA))
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& sP2
& aSet0(stldt0(xA)) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f144,f145]) ).
fof(f145,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xA)) )
=> ( ~ aElementOf0(sK22,cS1395)
& aElementOf0(sK22,stldt0(xA)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xA)) )
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& sP2
& aSet0(stldt0(xA)) )
| ~ sP9 ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
( ( ~ aSubsetOf0(stldt0(xA),cS1395)
& ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& sP2
& aSet0(stldt0(xA)) )
| ~ sP9 ),
inference(nnf_transformation,[],[f113]) ).
fof(f461,plain,
( ~ spl38_1
| spl38_4 ),
inference(avatar_split_clause,[],[f283,f458,f444]) ).
fof(f283,plain,
( aElementOf0(sK21,stldt0(xB))
| ~ sP10 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ~ aElementOf0(sK21,cS1395)
& aElementOf0(sK21,stldt0(xB))
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& sP3
& aSet0(stldt0(xB)) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f140,f141]) ).
fof(f141,plain,
( ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xB)) )
=> ( ~ aElementOf0(sK21,cS1395)
& aElementOf0(sK21,stldt0(xB)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X0] :
( ~ aElementOf0(X0,cS1395)
& aElementOf0(X0,stldt0(xB)) )
& ! [X1] :
( ( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) )
& ( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ) )
& aSet0(cS1395)
& sP3
& aSet0(stldt0(xB)) )
| ~ sP10 ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
( ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X7] :
( ~ aElementOf0(X7,cS1395)
& aElementOf0(X7,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& aSet0(cS1395)
& sP3
& aSet0(stldt0(xB)) )
| ~ sP10 ),
inference(nnf_transformation,[],[f114]) ).
fof(f456,plain,
( ~ spl38_1
| ~ spl38_3 ),
inference(avatar_split_clause,[],[f284,f453,f444]) ).
fof(f284,plain,
( ~ aElementOf0(sK21,cS1395)
| ~ sP10 ),
inference(cnf_transformation,[],[f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 14:58:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.QrICf24lzW/Vampire---4.8_26683
% 0.55/0.74 % (26948)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 (2996ds/34Mi)
% 0.55/0.74 % (26950)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (26949)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 (2996ds/51Mi)
% 0.55/0.74 % (26952)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 (2996ds/34Mi)
% 0.55/0.74 % (26951)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (26953)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (26954)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 (2996ds/83Mi)
% 0.55/0.74 % (26955)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 (2996ds/56Mi)
% 0.60/0.75 % (26948)Instruction limit reached!
% 0.60/0.75 % (26948)------------------------------
% 0.60/0.75 % (26948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (26948)Termination reason: Unknown
% 0.60/0.75 % (26948)Termination phase: Saturation
% 0.60/0.75
% 0.60/0.75 % (26948)Memory used [KB]: 1615
% 0.60/0.75 % (26948)Time elapsed: 0.014 s
% 0.60/0.75 % (26948)Instructions burned: 35 (million)
% 0.60/0.75 % (26948)------------------------------
% 0.60/0.75 % (26948)------------------------------
% 0.60/0.76 % (26956)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.76 % (26951)Instruction limit reached!
% 0.60/0.76 % (26951)------------------------------
% 0.60/0.76 % (26951)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (26952)Instruction limit reached!
% 0.60/0.76 % (26952)------------------------------
% 0.60/0.76 % (26952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (26951)Termination reason: Unknown
% 0.60/0.76 % (26951)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (26951)Memory used [KB]: 1767
% 0.60/0.76 % (26951)Time elapsed: 0.021 s
% 0.60/0.76 % (26951)Instructions burned: 33 (million)
% 0.60/0.76 % (26951)------------------------------
% 0.60/0.76 % (26951)------------------------------
% 0.60/0.76 % (26952)Termination reason: Unknown
% 0.60/0.76 % (26952)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (26952)Memory used [KB]: 1716
% 0.60/0.76 % (26952)Time elapsed: 0.021 s
% 0.60/0.76 % (26952)Instructions burned: 35 (million)
% 0.60/0.76 % (26952)------------------------------
% 0.60/0.76 % (26952)------------------------------
% 0.60/0.77 % (26957)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.77 % (26950)First to succeed.
% 0.60/0.77 % (26955)Also succeeded, but the first one will report.
% 0.60/0.77 % (26956)Instruction limit reached!
% 0.60/0.77 % (26956)------------------------------
% 0.60/0.77 % (26956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26956)Termination reason: Unknown
% 0.60/0.77 % (26956)Termination phase: Property scanning
% 0.60/0.77
% 0.60/0.77 % (26956)Memory used [KB]: 1615
% 0.60/0.77 % (26956)Time elapsed: 0.013 s
% 0.60/0.77 % (26956)Instructions burned: 56 (million)
% 0.60/0.77 % (26956)------------------------------
% 0.60/0.77 % (26956)------------------------------
% 0.60/0.77 % (26953)Instruction limit reached!
% 0.60/0.77 % (26953)------------------------------
% 0.60/0.77 % (26953)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26953)Termination reason: Unknown
% 0.60/0.77 % (26953)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26953)Memory used [KB]: 1731
% 0.60/0.77 % (26953)Time elapsed: 0.029 s
% 0.60/0.77 % (26953)Instructions burned: 45 (million)
% 0.60/0.77 % (26953)------------------------------
% 0.60/0.77 % (26953)------------------------------
% 0.60/0.77 % (26950)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26938"
% 0.60/0.77 % (26959)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.77 % (26958)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.77 % (26950)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (26950)------------------------------
% 0.60/0.77 % (26950)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26950)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (26950)Memory used [KB]: 1520
% 0.60/0.77 % (26950)Time elapsed: 0.030 s
% 0.60/0.77 % (26950)Instructions burned: 47 (million)
% 0.60/0.77 % (26938)Success in time 0.402 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------