TSTP Solution File: NUM441+6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM441+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:05:08 EDT 2022
% Result : Theorem 0.15s 0.63s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 14 unt; 3 typ; 0 def)
% Number of atoms : 1240 ( 74 equ)
% Maximal formula atoms : 67 ( 22 avg)
% Number of connectives : 1576 ( 391 ~; 318 |; 758 &)
% ( 59 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 299 ( 239 !; 60 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_21,type,
sQ31_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_22,type,
sQ32_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_23,type,
sQ33_eqProxy: ( $real * $real ) > $o ).
fof(f2118,plain,
$false,
inference(subsumption_resolution,[],[f2117,f512]) ).
fof(f512,plain,
isOpen0(stldt0(xB)),
inference(literal_reordering,[],[f361]) ).
fof(f361,plain,
isOpen0(stldt0(xB)),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( aSubsetOf0(xB,cS1395)
& aSubsetOf0(xA,cS1395)
& isClosed0(xB)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xB))
& ! [X0] :
( ( ( ~ aElementOf0(X0,xA)
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(xA)) )
& ( aElementOf0(X0,stldt0(xA))
| aElementOf0(X0,xA)
| ~ aInteger0(X0) ) )
& ! [X1] :
( ( ( ~ aElementOf0(X1,xB)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xB)) )
& ( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ) )
& ! [X2] :
( ~ aElementOf0(X2,stldt0(xB))
| ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,sK25(X2)),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,sK25(X2)))
& ! [X4] :
( aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,sK25(X2))) )
& sP7(X2,sK25(X2))
& sz00 != sK25(X2)
& aInteger0(sK25(X2)) ) )
& aSet0(cS1395)
& aSet0(xB)
& isClosed0(xA)
& ! [X5] :
( ( sP6(sK26(X5),X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,sK26(X5)))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK26(X5)),stldt0(xA))
& aInteger0(sK26(X5))
& sz00 != sK26(X5)
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK26(X5))) ) )
| ~ aElementOf0(X5,stldt0(xA)) )
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,xB) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(stldt0(xB))
& aSet0(cS1395)
& isOpen0(stldt0(xA))
& ! [X10] :
( aElementOf0(X10,cS1395)
| ~ aElementOf0(X10,xA) )
& aSet0(xA)
& ! [X11] :
( ( aInteger0(X11)
| ~ aElementOf0(X11,cS1395) )
& ( aElementOf0(X11,cS1395)
| ~ aInteger0(X11) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f202,f204,f203]) ).
fof(f203,plain,
! [X2] :
( ? [X3] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP7(X2,X3)
& sz00 != X3
& aInteger0(X3) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,sK25(X2)),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,sK25(X2)))
& ! [X4] :
( aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,sK25(X2))) )
& sP7(X2,sK25(X2))
& sz00 != sK25(X2)
& aInteger0(sK25(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X5] :
( ? [X6] :
( sP6(X6,X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA))
& aInteger0(X6)
& sz00 != X6
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6)) ) )
=> ( sP6(sK26(X5),X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,sK26(X5)))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,sK26(X5)),stldt0(xA))
& aInteger0(sK26(X5))
& sz00 != sK26(X5)
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,sK26(X5))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
( aSubsetOf0(xB,cS1395)
& aSubsetOf0(xA,cS1395)
& isClosed0(xB)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xB))
& ! [X0] :
( ( ( ~ aElementOf0(X0,xA)
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(xA)) )
& ( aElementOf0(X0,stldt0(xA))
| aElementOf0(X0,xA)
| ~ aInteger0(X0) ) )
& ! [X1] :
( ( ( ~ aElementOf0(X1,xB)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xB)) )
& ( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ) )
& ! [X2] :
( ~ aElementOf0(X2,stldt0(xB))
| ? [X3] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP7(X2,X3)
& sz00 != X3
& aInteger0(X3) ) )
& aSet0(cS1395)
& aSet0(xB)
& isClosed0(xA)
& ! [X5] :
( ? [X6] :
( sP6(X6,X5)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X5,X6))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X5,X6),stldt0(xA))
& aInteger0(X6)
& sz00 != X6
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X5,X6)) ) )
| ~ aElementOf0(X5,stldt0(xA)) )
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,xB) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(stldt0(xB))
& aSet0(cS1395)
& isOpen0(stldt0(xA))
& ! [X10] :
( aElementOf0(X10,cS1395)
| ~ aElementOf0(X10,xA) )
& aSet0(xA)
& ! [X11] :
( ( aInteger0(X11)
| ~ aElementOf0(X11,cS1395) )
& ( aElementOf0(X11,cS1395)
| ~ aInteger0(X11) ) ) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
( aSubsetOf0(xB,cS1395)
& aSubsetOf0(xA,cS1395)
& isClosed0(xB)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xB))
& ! [X13] :
( ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) )
& ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) ) )
& ! [X15] :
( ( ( ~ aElementOf0(X15,xB)
& aInteger0(X15) )
| ~ aElementOf0(X15,stldt0(xB)) )
& ( aElementOf0(X15,stldt0(xB))
| aElementOf0(X15,xB)
| ~ aInteger0(X15) ) )
& ! [X7] :
( ~ aElementOf0(X7,stldt0(xB))
| ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP7(X7,X8)
& sz00 != X8
& aInteger0(X8) ) )
& aSet0(cS1395)
& aSet0(xB)
& isClosed0(xA)
& ! [X0] :
( ? [X1] :
( sP6(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& aInteger0(X1)
& sz00 != X1
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ aElementOf0(X0,stldt0(xA)) )
& ! [X17] :
( aElementOf0(X17,cS1395)
| ~ aElementOf0(X17,xB) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& aSet0(stldt0(xB))
& aSet0(cS1395)
& isOpen0(stldt0(xA))
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X14] :
( ( aInteger0(X14)
| ~ aElementOf0(X14,cS1395) )
& ( aElementOf0(X14,cS1395)
| ~ aInteger0(X14) ) ) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
( aSubsetOf0(xB,cS1395)
& aSubsetOf0(xA,cS1395)
& isClosed0(xB)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xB))
& ! [X13] :
( ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) )
& ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) ) )
& ! [X15] :
( ( ( ~ aElementOf0(X15,xB)
& aInteger0(X15) )
| ~ aElementOf0(X15,stldt0(xB)) )
& ( aElementOf0(X15,stldt0(xB))
| aElementOf0(X15,xB)
| ~ aInteger0(X15) ) )
& ! [X7] :
( ~ aElementOf0(X7,stldt0(xB))
| ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP7(X7,X8)
& sz00 != X8
& aInteger0(X8) ) )
& aSet0(cS1395)
& aSet0(xB)
& isClosed0(xA)
& ! [X0] :
( ? [X1] :
( sP6(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& aInteger0(X1)
& sz00 != X1
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ aElementOf0(X0,stldt0(xA)) )
& ! [X17] :
( aElementOf0(X17,cS1395)
| ~ aElementOf0(X17,xB) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& aSet0(stldt0(xB))
& aSet0(cS1395)
& isOpen0(stldt0(xA))
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X14] :
( ( aInteger0(X14)
| ~ aElementOf0(X14,cS1395) )
& ( aElementOf0(X14,cS1395)
| ~ aInteger0(X14) ) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
( aSubsetOf0(xB,cS1395)
& aSubsetOf0(xA,cS1395)
& isClosed0(xB)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xB))
& ! [X13] :
( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
<=> aElementOf0(X13,stldt0(xA)) )
& ! [X15] :
( ( ~ aElementOf0(X15,xB)
& aInteger0(X15) )
<=> aElementOf0(X15,stldt0(xB)) )
& ! [X7] :
( ~ aElementOf0(X7,stldt0(xB))
| ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP7(X7,X8)
& sz00 != X8
& aInteger0(X8) ) )
& aSet0(cS1395)
& aSet0(xB)
& isClosed0(xA)
& ! [X0] :
( ? [X1] :
( sP6(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& aInteger0(X1)
& sz00 != X1
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ aElementOf0(X0,stldt0(xA)) )
& ! [X17] :
( aElementOf0(X17,cS1395)
| ~ aElementOf0(X17,xB) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(stldt0(xB))
& aSet0(cS1395)
& isOpen0(stldt0(xA))
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X14] :
( aInteger0(X14)
<=> aElementOf0(X14,cS1395) ) ),
inference(definition_folding,[],[f92,f127,f126]) ).
fof(f126,plain,
! [X1,X0] :
( ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X1,X4) = sdtpldt0(X3,smndt0(X0)) )
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) ) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X5) ) ) ) )
| ~ sP6(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f127,plain,
! [X7,X8] :
( ! [X10] :
( ( ( aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ( ~ aInteger0(X10)
| ( ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11) )
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ~ sdteqdtlpzmzozddtrp0(X10,X7,X8) )
| aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
| ~ sP7(X7,X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f92,plain,
( aSubsetOf0(xB,cS1395)
& aSubsetOf0(xA,cS1395)
& isClosed0(xB)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xB))
& ! [X13] :
( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
<=> aElementOf0(X13,stldt0(xA)) )
& ! [X15] :
( ( ~ aElementOf0(X15,xB)
& aInteger0(X15) )
<=> aElementOf0(X15,stldt0(xB)) )
& ! [X7] :
( ~ aElementOf0(X7,stldt0(xB))
| ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& ! [X9] :
( aElementOf0(X9,stldt0(xB))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ! [X10] :
( ( ( aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ( ~ aInteger0(X10)
| ( ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11) )
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ~ sdteqdtlpzmzozddtrp0(X10,X7,X8) )
| aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& sz00 != X8
& aInteger0(X8) ) )
& aSet0(cS1395)
& aSet0(xB)
& isClosed0(xA)
& ! [X0] :
( ? [X1] :
( ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X1,X4) = sdtpldt0(X3,smndt0(X0)) )
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) ) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X5) ) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& aInteger0(X1)
& sz00 != X1
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ aElementOf0(X0,stldt0(xA)) )
& ! [X17] :
( aElementOf0(X17,cS1395)
| ~ aElementOf0(X17,xB) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(stldt0(xB))
& aSet0(cS1395)
& isOpen0(stldt0(xA))
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X14] :
( aInteger0(X14)
<=> aElementOf0(X14,cS1395) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
( aSet0(xA)
& ! [X13] :
( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
<=> aElementOf0(X13,stldt0(xA)) )
& ! [X15] :
( ( ~ aElementOf0(X15,xB)
& aInteger0(X15) )
<=> aElementOf0(X15,stldt0(xB)) )
& isClosed0(xB)
& ! [X7] :
( ? [X8] :
( ! [X9] :
( aElementOf0(X9,stldt0(xB))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sz00 != X8
& ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ~ aInteger0(X10)
| ( ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11) )
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ~ sdteqdtlpzmzozddtrp0(X10,X7,X8) ) )
& ( ( aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aInteger0(X8)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
| ~ aElementOf0(X7,stldt0(xB)) )
& aSubsetOf0(xA,cS1395)
& isOpen0(stldt0(xA))
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(cS1395)
& isOpen0(stldt0(xB))
& aSubsetOf0(xB,cS1395)
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& sz00 != X1
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X5] :
( ~ aInteger0(X5)
| sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X5) ) )
| ~ aInteger0(X3) )
& ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X1,X4) = sdtpldt0(X3,smndt0(X0)) )
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) ) ) )
& aInteger0(X1)
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ aElementOf0(X0,stldt0(xA)) )
& isClosed0(xA)
& aSet0(cS1395)
& aSet0(stldt0(xA))
& ! [X14] :
( aInteger0(X14)
<=> aElementOf0(X14,cS1395) )
& aSet0(xB)
& ! [X17] :
( aElementOf0(X17,cS1395)
| ~ aElementOf0(X17,xB) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
( aSet0(xA)
& ! [X13] :
( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
<=> aElementOf0(X13,stldt0(xA)) )
& ! [X15] :
( ( ~ aElementOf0(X15,xB)
& aInteger0(X15) )
<=> aElementOf0(X15,stldt0(xB)) )
& isClosed0(xB)
& ! [X7] :
( aElementOf0(X7,stldt0(xB))
=> ? [X8] :
( ! [X9] :
( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> aElementOf0(X9,stldt0(xB)) )
& sz00 != X8
& ! [X10] :
( ( ( aInteger0(X10)
& ( ? [X11] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X11)
& aInteger0(X11) )
| aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
| sdteqdtlpzmzozddtrp0(X10,X7,X8) ) )
=> aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> ( aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) ) ) )
& aInteger0(X8)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aSubsetOf0(xA,cS1395)
& isOpen0(stldt0(xA))
& ! [X16] :
( aElementOf0(X16,xA)
=> aElementOf0(X16,cS1395) )
& aSet0(cS1395)
& isOpen0(stldt0(xB))
& aSubsetOf0(xB,cS1395)
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> ? [X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& sz00 != X1
& ! [X3] :
( ( ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X1,X4) = sdtpldt0(X3,smndt0(X0)) )
& sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0))) ) ) )
& aInteger0(X1)
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xA)) ) ) )
& isClosed0(xA)
& aSet0(cS1395)
& aSet0(stldt0(xA))
& ! [X14] :
( aInteger0(X14)
<=> aElementOf0(X14,cS1395) )
& aSet0(xB)
& ! [X17] :
( aElementOf0(X17,xB)
=> aElementOf0(X17,cS1395) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> ? [X1] :
( sz00 != X1
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) ) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aInteger0(X1) ) )
& aSet0(cS1395)
& isClosed0(xA)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(xB)
& aSubsetOf0(xB,cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aInteger0(X2) ) ) )
& aInteger0(X1) ) )
& aSubsetOf0(xA,cS1395)
& isClosed0(xB)
& ! [X0] :
( ( aInteger0(X0)
& ~ aElementOf0(X0,xA) )
<=> aElementOf0(X0,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isOpen0(stldt0(xB))
& aSet0(cS1395)
& aSet0(stldt0(xA))
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& ! [X0] :
( ( ~ aElementOf0(X0,xB)
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(xB)) )
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,cS1395) )
& aSet0(stldt0(xB))
& aSet0(xA)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,cS1395) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1826) ).
fof(f2117,plain,
~ isOpen0(stldt0(xB)),
inference(subsumption_resolution,[],[f2116,f473]) ).
fof(f473,plain,
isOpen0(stldt0(xA)),
inference(literal_reordering,[],[f334]) ).
fof(f334,plain,
isOpen0(stldt0(xA)),
inference(cnf_transformation,[],[f205]) ).
fof(f2116,plain,
( ~ isOpen0(stldt0(xA))
| ~ isOpen0(stldt0(xB)) ),
inference(subsumption_resolution,[],[f2115,f630]) ).
fof(f630,plain,
~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(literal_reordering,[],[f435]) ).
fof(f435,plain,
~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) ) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ( aInteger0(X1)
& ( aElementOf0(X1,xA)
| aElementOf0(X1,xB) ) )
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) )
& ( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1)
| ( ~ aElementOf0(X1,xA)
& ~ aElementOf0(X1,xB) ) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& aElementOf0(sK28,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( sP8(X3,sK28)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK28,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK28,X3))
& aElementOf0(sK29(X3),szAzrzSzezqlpdtcmdtrp0(sK28,X3))
& ~ aElementOf0(sK29(X3),stldt0(sdtbsmnsldt0(xA,xB))) )
| sz00 = X3
| ~ aInteger0(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f219,f221,f220]) ).
fof(f220,plain,
( ? [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( sP8(X3,X2)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| sz00 = X3
| ~ aInteger0(X3) ) )
=> ( aElementOf0(sK28,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( sP8(X3,sK28)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK28,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK28,X3))
& ? [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sK28,X3))
& ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| sz00 = X3
| ~ aInteger0(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X3] :
( ? [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(sK28,X3))
& ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( aElementOf0(sK29(X3),szAzrzSzezqlpdtcmdtrp0(sK28,X3))
& ~ aElementOf0(sK29(X3),stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0) ) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ( aInteger0(X1)
& ( aElementOf0(X1,xA)
| aElementOf0(X1,xB) ) )
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) )
& ( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1)
| ( ~ aElementOf0(X1,xA)
& ~ aElementOf0(X1,xB) ) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ? [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( sP8(X3,X2)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ~ aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| sz00 = X3
| ~ aInteger0(X3) ) ) ),
inference(rectify,[],[f218]) ).
fof(f218,plain,
( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) ) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
& ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ( ~ aElementOf0(X0,xA)
& ~ aElementOf0(X0,xB) ) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ? [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( sP8(X3,X2)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| sz00 = X3
| ~ aInteger0(X3) ) ) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) ) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
& ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X0)
| ( ~ aElementOf0(X0,xA)
& ~ aElementOf0(X0,xB) ) ) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ? [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( sP8(X3,X2)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| sz00 = X3
| ~ aInteger0(X3) ) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
<=> aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ? [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( sP8(X3,X2)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| sz00 = X3
| ~ aInteger0(X3) ) ) ),
inference(definition_folding,[],[f82,f129]) ).
fof(f129,plain,
! [X3,X2] :
( ! [X4] :
( ( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4)
& ? [X5] :
( sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X5) ) ) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ! [X6] :
( ~ aInteger0(X6)
| sdtasdt0(X3,X6) != sdtpldt0(X4,smndt0(X2)) )
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) )
| ~ aInteger0(X4) ) )
| ~ sP8(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f82,plain,
( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
<=> aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
& ~ isClosed0(sdtbsmnsldt0(xA,xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& ? [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( ! [X4] :
( ( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4)
& ? [X5] :
( sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X5) ) ) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ! [X6] :
( ~ aInteger0(X6)
| sdtasdt0(X3,X6) != sdtpldt0(X4,smndt0(X2)) )
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) )
| ~ aInteger0(X4) ) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| sz00 = X3
| ~ aInteger0(X3) ) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ? [X2] :
( ! [X3] :
( ~ aInteger0(X3)
| sz00 = X3
| ( ? [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4)
& ? [X5] :
( sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X5) ) ) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ! [X6] :
( ~ aInteger0(X6)
| sdtasdt0(X3,X6) != sdtpldt0(X4,smndt0(X2)) )
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) )
| ~ aInteger0(X4) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
<=> aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
<=> aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
=> ( isClosed0(sdtbsmnsldt0(xA,xB))
| ( ( ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X3] :
( aInteger0(X3)
& sz00 != X3
& ( ( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& aInteger0(X4)
& ? [X5] :
( sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X5) ) ) )
& ( ( ( ? [X6] :
( sdtasdt0(X3,X6) = sdtpldt0(X4,smndt0(X2))
& aInteger0(X6) )
| sdteqdtlpzmzozddtrp0(X4,X2,X3)
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2))) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
=> ( ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) )
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
<=> aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
=> ( ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( aInteger0(X1)
& sz00 != X1
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) ) )
& ( ( ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) ) ) )
| isClosed0(sdtbsmnsldt0(xA,xB)) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) )
<=> aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
=> ( ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( aInteger0(X1)
& sz00 != X1
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aInteger0(X2)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) ) )
& ( ( ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
| sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) ) ) )
| isClosed0(sdtbsmnsldt0(xA,xB)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f2115,plain,
( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ isOpen0(stldt0(xA))
| ~ isOpen0(stldt0(xB)) ),
inference(subsumption_resolution,[],[f2114,f664]) ).
fof(f664,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(literal_reordering,[],[f380]) ).
fof(f380,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( aSubsetOf0(stldt0(xA),cS1395)
& aSet0(stldt0(xA))
& ! [X0] :
( ( aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0)
| aElementOf0(X0,xA) )
& ( ( aInteger0(X0)
& ~ aElementOf0(X0,xA) )
| ~ aElementOf0(X0,stldt0(xA)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X1] :
( ( aElementOf0(X1,stldt0(xB))
| ~ aInteger0(X1)
| aElementOf0(X1,xB) )
& ( ( aInteger0(X1)
& ~ aElementOf0(X1,xB) )
| ~ aElementOf0(X1,stldt0(xB)) ) )
& ! [X2] :
( ~ aElementOf0(X2,stldt0(xA))
| aElementOf0(X2,cS1395) )
& ! [X3] :
( ( aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X3)
| ( ~ aElementOf0(X3,xA)
& ~ aElementOf0(X3,xB) ) )
& ( ( aInteger0(X3)
& ( aElementOf0(X3,xA)
| aElementOf0(X3,xB) ) )
| ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) )
& ! [X4] :
( ( aElementOf0(X4,stldt0(xA))
| aElementOf0(X4,xA)
| ~ aInteger0(X4) )
& ( ( ~ aElementOf0(X4,xA)
& aInteger0(X4) )
| ~ aElementOf0(X4,stldt0(xA)) ) )
& ! [X5] :
( ( aInteger0(X5)
| ~ aElementOf0(X5,cS1395) )
& ( aElementOf0(X5,cS1395)
| ~ aInteger0(X5) ) )
& aSet0(cS1395)
& aSet0(stldt0(xB))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X6] :
( ~ aElementOf0(X6,stldt0(xB))
| aElementOf0(X6,cS1395) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X7] :
( ( ( aElementOf0(X7,stldt0(xA))
& aInteger0(X7)
& aElementOf0(X7,stldt0(xB)) )
| ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X7,stldt0(xA))
| ~ aInteger0(X7)
| ~ aElementOf0(X7,stldt0(xB)) ) )
& ! [X8] :
( ( aElementOf0(X8,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X8)
| aElementOf0(X8,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X8,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& ! [X10] :
( ( aElementOf0(X10,stldt0(xB))
| aElementOf0(X10,xB)
| ~ aInteger0(X10) )
& ( ( ~ aElementOf0(X10,xB)
& aInteger0(X10) )
| ~ aElementOf0(X10,stldt0(xB)) ) ) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
( aSubsetOf0(stldt0(xA),cS1395)
& aSet0(stldt0(xA))
& ! [X2] :
( ( aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X2)
| aElementOf0(X2,xA) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,xA) )
| ~ aElementOf0(X2,stldt0(xA)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X8] :
( ( aElementOf0(X8,stldt0(xB))
| ~ aInteger0(X8)
| aElementOf0(X8,xB) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,xB) )
| ~ aElementOf0(X8,stldt0(xB)) ) )
& ! [X9] :
( ~ aElementOf0(X9,stldt0(xA))
| aElementOf0(X9,cS1395) )
& ! [X10] :
( ( aElementOf0(X10,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X10)
| ( ~ aElementOf0(X10,xA)
& ~ aElementOf0(X10,xB) ) )
& ( ( aInteger0(X10)
& ( aElementOf0(X10,xA)
| aElementOf0(X10,xB) ) )
| ~ aElementOf0(X10,sdtbsmnsldt0(xA,xB)) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(xA))
| aElementOf0(X1,xA)
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,xA)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xA)) ) )
& ! [X0] :
( ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) )
& ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) ) )
& aSet0(cS1395)
& aSet0(stldt0(xB))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ~ aElementOf0(X4,stldt0(xB))
| aElementOf0(X4,cS1395) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X3] :
( ( ( aElementOf0(X3,stldt0(xA))
& aInteger0(X3)
& aElementOf0(X3,stldt0(xB)) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X3,stldt0(xA))
| ~ aInteger0(X3)
| ~ aElementOf0(X3,stldt0(xB)) ) )
& ! [X5] :
( ( aElementOf0(X5,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X5)
| aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X5)
& ~ aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X5,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& ! [X7] :
( ( aElementOf0(X7,stldt0(xB))
| aElementOf0(X7,xB)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xB)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xB)) ) ) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
( aSubsetOf0(stldt0(xA),cS1395)
& aSet0(stldt0(xA))
& ! [X2] :
( ( aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X2)
| aElementOf0(X2,xA) )
& ( ( aInteger0(X2)
& ~ aElementOf0(X2,xA) )
| ~ aElementOf0(X2,stldt0(xA)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X8] :
( ( aElementOf0(X8,stldt0(xB))
| ~ aInteger0(X8)
| aElementOf0(X8,xB) )
& ( ( aInteger0(X8)
& ~ aElementOf0(X8,xB) )
| ~ aElementOf0(X8,stldt0(xB)) ) )
& ! [X9] :
( ~ aElementOf0(X9,stldt0(xA))
| aElementOf0(X9,cS1395) )
& ! [X10] :
( ( aElementOf0(X10,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X10)
| ( ~ aElementOf0(X10,xA)
& ~ aElementOf0(X10,xB) ) )
& ( ( aInteger0(X10)
& ( aElementOf0(X10,xA)
| aElementOf0(X10,xB) ) )
| ~ aElementOf0(X10,sdtbsmnsldt0(xA,xB)) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(xA))
| aElementOf0(X1,xA)
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,xA)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xA)) ) )
& ! [X0] :
( ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) )
& ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) ) )
& aSet0(cS1395)
& aSet0(stldt0(xB))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ~ aElementOf0(X4,stldt0(xB))
| aElementOf0(X4,cS1395) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X3] :
( ( ( aElementOf0(X3,stldt0(xA))
& aInteger0(X3)
& aElementOf0(X3,stldt0(xB)) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X3,stldt0(xA))
| ~ aInteger0(X3)
| ~ aElementOf0(X3,stldt0(xB)) ) )
& ! [X5] :
( ( aElementOf0(X5,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X5)
| aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
& ( ( aInteger0(X5)
& ~ aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
| ~ aElementOf0(X5,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& ! [X7] :
( ( aElementOf0(X7,stldt0(xB))
| aElementOf0(X7,xB)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xB)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xB)) ) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( aSubsetOf0(stldt0(xA),cS1395)
& aSet0(stldt0(xA))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,xA) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X8] :
( aElementOf0(X8,stldt0(xB))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,xB) ) )
& ! [X9] :
( ~ aElementOf0(X9,stldt0(xA))
| aElementOf0(X9,cS1395) )
& ! [X10] :
( aElementOf0(X10,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X10)
& ( aElementOf0(X10,xA)
| aElementOf0(X10,xB) ) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& aSet0(cS1395)
& aSet0(stldt0(xB))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ~ aElementOf0(X4,stldt0(xB))
| aElementOf0(X4,cS1395) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(cS1395)
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X3] :
( ( aElementOf0(X3,stldt0(xA))
& aInteger0(X3)
& aElementOf0(X3,stldt0(xB)) )
<=> aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X5] :
( aElementOf0(X5,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X5)
& ~ aElementOf0(X5,sdtbsmnsldt0(xA,xB)) ) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& ! [X7] :
( aElementOf0(X7,stldt0(xB))
<=> ( ~ aElementOf0(X7,xB)
& aInteger0(X7) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
( ! [X3] :
( ( aElementOf0(X3,stldt0(xA))
& aInteger0(X3)
& aElementOf0(X3,stldt0(xB)) )
<=> aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X4] :
( aElementOf0(X4,stldt0(xB))
=> aElementOf0(X4,cS1395) )
& ! [X7] :
( aElementOf0(X7,stldt0(xB))
<=> ( ~ aElementOf0(X7,xB)
& aInteger0(X7) ) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(stldt0(xA))
& aSet0(cS1395)
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
=> aElementOf0(X9,cS1395) )
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,xA) ) )
& aSet0(stldt0(xB))
& ! [X5] :
( aElementOf0(X5,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X5)
& ~ aElementOf0(X5,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(cS1395)
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X8] :
( aElementOf0(X8,stldt0(xB))
<=> ( aInteger0(X8)
& ~ aElementOf0(X8,xB) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( ~ aElementOf0(X1,xA)
& aInteger0(X1) ) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& ! [X10] :
( aElementOf0(X10,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X10)
& ( aElementOf0(X10,xA)
| aElementOf0(X10,xB) ) ) )
& aSubsetOf0(stldt0(xA),cS1395) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& ! [X0] :
( ( aInteger0(X0)
& ~ aElementOf0(X0,xA) )
<=> aElementOf0(X0,stldt0(xA)) )
& ! [X0] :
( ( aInteger0(X0)
& ~ aElementOf0(X0,xA) )
<=> aElementOf0(X0,stldt0(xA)) )
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& aSet0(cS1395)
& ! [X0] :
( ( aInteger0(X0)
& ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
<=> aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& ! [X0] :
( ( ~ aElementOf0(X0,xB)
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(xB)) )
& ! [X0] :
( ( ~ aElementOf0(X0,xB)
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(xB)) )
& aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) )
& aSet0(stldt0(xB))
& aSet0(sdtbsmnsldt0(xA,xB))
& aSet0(stldt0(xA))
& ! [X0] :
( ( ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) )
& aInteger0(X0) )
<=> aElementOf0(X0,sdtbsmnsldt0(xA,xB)) )
& aSubsetOf0(stldt0(xA),cS1395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(f2114,plain,
( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ isOpen0(stldt0(xA))
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ isOpen0(stldt0(xB)) ),
inference(subsumption_resolution,[],[f2113,f525]) ).
fof(f525,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(literal_reordering,[],[f403]) ).
fof(f403,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(cnf_transformation,[],[f208]) ).
fof(f2113,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ isOpen0(stldt0(xA))
| ~ isOpen0(stldt0(xB))
| ~ aSubsetOf0(stldt0(xB),cS1395) ),
inference(superposition,[],[f579,f564]) ).
fof(f564,plain,
stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)),
inference(literal_reordering,[],[f378]) ).
fof(f378,plain,
stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)),
inference(cnf_transformation,[],[f208]) ).
fof(f579,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X0)
| ~ isOpen0(X1)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ),
inference(literal_reordering,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ~ isOpen0(X1)
| ~ aSubsetOf0(X0,cS1395)
| isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ aSubsetOf0(X0,cS1395)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( isOpen0(X1)
& aSubsetOf0(X1,cS1395)
& isOpen0(X0)
& aSubsetOf0(X0,cS1395) )
=> isOpen0(sdtslmnbsdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mInterOpen) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : NUM441+6 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n010.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 06:26:14 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.47 % (12862)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (12863)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.48 % (12861)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48 % (12877)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.48 % (12879)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.48 % (12869)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.48 % (12871)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.49 % (12862)Instruction limit reached!
% 0.15/0.49 % (12862)------------------------------
% 0.15/0.49 % (12862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (12870)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.49 % (12863)Instruction limit reached!
% 0.15/0.49 % (12863)------------------------------
% 0.15/0.49 % (12863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (12863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (12863)Termination reason: Unknown
% 0.15/0.49 % (12863)Termination phase: Preprocessing 1
% 0.15/0.49
% 0.15/0.49 % (12863)Memory used [KB]: 895
% 0.15/0.49 % (12863)Time elapsed: 0.004 s
% 0.15/0.49 % (12863)Instructions burned: 2 (million)
% 0.15/0.49 % (12863)------------------------------
% 0.15/0.49 % (12863)------------------------------
% 0.15/0.50 % (12862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (12862)Termination reason: Unknown
% 0.15/0.50 % (12862)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (12862)Memory used [KB]: 1279
% 0.15/0.50 % (12862)Time elapsed: 0.008 s
% 0.15/0.50 % (12862)Instructions burned: 8 (million)
% 0.15/0.50 % (12862)------------------------------
% 0.15/0.50 % (12862)------------------------------
% 0.15/0.50 % (12878)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.52 % (12866)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.52 % (12874)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.52 % (12859)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52 TRYING [1]
% 0.15/0.52 % (12860)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.53 % (12858)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53 % (12857)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.53 TRYING [2]
% 0.15/0.54 % (12884)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.15/0.54 % (12865)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.54 % (12882)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.54 % (12875)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.15/0.54 % (12868)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.54 % (12873)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.55 % (12883)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.55 % (12876)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.55 % (12881)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.56 % (12867)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.57 % (12861)Instruction limit reached!
% 0.15/0.57 % (12861)------------------------------
% 0.15/0.57 % (12861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (12861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (12861)Termination reason: Unknown
% 0.15/0.57 % (12861)Termination phase: Finite model building SAT solving
% 0.15/0.57
% 0.15/0.57 % (12861)Memory used [KB]: 7291
% 0.15/0.57 % (12861)Time elapsed: 0.165 s
% 0.15/0.57 % (12861)Instructions burned: 51 (million)
% 0.15/0.57 % (12861)------------------------------
% 0.15/0.57 % (12861)------------------------------
% 0.15/0.61 % (12869)First to succeed.
% 0.15/0.61 % (12880)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.62 % (12857)Instruction limit reached!
% 0.15/0.62 % (12857)------------------------------
% 0.15/0.62 % (12857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.62 % (12857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.62 % (12857)Termination reason: Unknown
% 0.15/0.62 % (12857)Termination phase: Saturation
% 0.15/0.62
% 0.15/0.62 % (12857)Memory used [KB]: 1535
% 0.15/0.62 % (12857)Time elapsed: 0.243 s
% 0.15/0.62 % (12857)Instructions burned: 38 (million)
% 0.15/0.62 % (12857)------------------------------
% 0.15/0.62 % (12857)------------------------------
% 0.15/0.62 % (12872)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.62 % (12870)Instruction limit reached!
% 0.15/0.62 % (12870)------------------------------
% 0.15/0.62 % (12870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.63 % (12869)Refutation found. Thanks to Tanya!
% 0.15/0.63 % SZS status Theorem for theBenchmark
% 0.15/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.63 % (12869)------------------------------
% 0.15/0.63 % (12869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.63 % (12869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.63 % (12869)Termination reason: Refutation
% 0.15/0.63
% 0.15/0.63 % (12869)Memory used [KB]: 7036
% 0.15/0.63 % (12869)Time elapsed: 0.075 s
% 0.15/0.63 % (12869)Instructions burned: 67 (million)
% 0.15/0.63 % (12869)------------------------------
% 0.15/0.63 % (12869)------------------------------
% 0.15/0.63 % (12854)Success in time 0.301 s
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