TSTP Solution File: NUM444+6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM444+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_uns --cores 0 -t %d %s
% Computer : n012.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 17:59:36 EDT 2022
% Result : Theorem 1.68s 0.62s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of formulae : 130 ( 3 unt; 0 def)
% Number of atoms : 1132 ( 119 equ)
% Maximal formula atoms : 92 ( 8 avg)
% Number of connectives : 1469 ( 467 ~; 433 |; 470 &)
% ( 28 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 23 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 252 ( 175 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1511,plain,
$false,
inference(avatar_sat_refutation,[],[f332,f360,f375,f393,f397,f415,f425,f440,f444,f448,f454,f488,f493,f529,f1466,f1470,f1510]) ).
fof(f1510,plain,
( ~ spl23_11
| ~ spl23_18
| ~ spl23_19
| ~ spl23_29
| ~ spl23_105 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| ~ spl23_11
| ~ spl23_18
| ~ spl23_19
| ~ spl23_29
| ~ spl23_105 ),
inference(subsumption_resolution,[],[f1508,f189]) ).
fof(f189,plain,
sz00 != xq,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( aInteger0(xq)
& aInteger0(xa)
& sz00 != xq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1962) ).
fof(f1508,plain,
( sz00 = xq
| ~ spl23_11
| ~ spl23_18
| ~ spl23_19
| ~ spl23_29
| ~ spl23_105 ),
inference(subsumption_resolution,[],[f1506,f191]) ).
fof(f191,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f41]) ).
fof(f1506,plain,
( ~ aInteger0(xq)
| sz00 = xq
| ~ spl23_11
| ~ spl23_18
| ~ spl23_19
| ~ spl23_29
| ~ spl23_105 ),
inference(resolution,[],[f1488,f1461]) ).
fof(f1461,plain,
( sP3(sK17(xq))
| ~ spl23_105 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl23_105
<=> sP3(sK17(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_105])]) ).
fof(f1488,plain,
( ! [X0] :
( ~ sP3(sK17(X0))
| sz00 = X0
| ~ aInteger0(X0) )
| ~ spl23_11
| ~ spl23_18
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1487,f272]) ).
fof(f272,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP1
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP1
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1487,plain,
( ! [X1] :
( aElementOf0(sK17(X1),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X1)
| sz00 = X1 )
| ~ spl23_11
| ~ spl23_18
| ~ spl23_19
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1485,f1057]) ).
fof(f1057,plain,
( ! [X0] :
( aInteger0(sK17(X0))
| ~ aInteger0(X0)
| sz00 = X0 )
| ~ spl23_18
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1056,f443]) ).
fof(f443,plain,
( ! [X1] :
( sP5(sK16,X1)
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl23_29
<=> ! [X1] :
( sP5(sK16,X1)
| sz00 = X1
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f1056,plain,
( ! [X0] :
( ~ sP5(sK16,X0)
| sz00 = X0
| aInteger0(sK17(X0))
| ~ aInteger0(X0) )
| ~ spl23_18 ),
inference(resolution,[],[f392,f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP5(X0,X1)
| aInteger0(X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(X0)) ) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X2) )
& ( ( aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aInteger0(sK19(X0,X1,X2))
& sdtpldt0(X2,smndt0(X0)) = sdtasdt0(X1,sK19(X0,X1,X2))
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f154,f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(X0)) = sdtasdt0(X1,X4) )
=> ( aInteger0(sK19(X0,X1,X2))
& sdtpldt0(X2,smndt0(X0)) = sdtasdt0(X1,sK19(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ~ sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(X1,X3) != sdtpldt0(X2,smndt0(X0)) ) )
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X2) )
& ( ( aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ? [X4] :
( aInteger0(X4)
& sdtpldt0(X2,smndt0(X0)) = sdtasdt0(X1,X4) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) )
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X18,X19] :
( ! [X20] :
( ( ( ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ! [X21] :
( ~ aInteger0(X21)
| sdtasdt0(X19,X21) != sdtpldt0(X20,smndt0(X18)) ) )
| aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ~ aInteger0(X20) )
& ( ( aInteger0(X20)
& sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ? [X22] :
( aInteger0(X22)
& sdtasdt0(X19,X22) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18))) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) ) )
| ~ sP5(X18,X19) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X18,X19] :
( ! [X20] :
( ( ( ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ! [X21] :
( ~ aInteger0(X21)
| sdtasdt0(X19,X21) != sdtpldt0(X20,smndt0(X18)) ) )
| aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ~ aInteger0(X20) )
& ( ( aInteger0(X20)
& sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ? [X22] :
( aInteger0(X22)
& sdtasdt0(X19,X22) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18))) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) ) )
| ~ sP5(X18,X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f392,plain,
( ! [X1] :
( aElementOf0(sK17(X1),szAzrzSzezqlpdtcmdtrp0(sK16,X1))
| ~ aInteger0(X1)
| sz00 = X1 )
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl23_18
<=> ! [X1] :
( sz00 = X1
| ~ aInteger0(X1)
| aElementOf0(sK17(X1),szAzrzSzezqlpdtcmdtrp0(sK16,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f1485,plain,
( ! [X1] :
( sz00 = X1
| aElementOf0(sK17(X1),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK17(X1))
| ~ aInteger0(X1) )
| ~ spl23_11
| ~ spl23_19 ),
inference(resolution,[],[f359,f396]) ).
fof(f396,plain,
( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0) )
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl23_19
<=> ! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f359,plain,
( ! [X1] :
( ~ aElementOf0(sK17(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sz00 = X1
| ~ aInteger0(X1) )
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl23_11
<=> ! [X1] :
( ~ aInteger0(X1)
| ~ aElementOf0(sK17(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sz00 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f1470,plain,
( ~ spl23_18
| ~ spl23_29
| spl23_106 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1469,plain,
( $false
| ~ spl23_18
| ~ spl23_29
| spl23_106 ),
inference(subsumption_resolution,[],[f1468,f191]) ).
fof(f1468,plain,
( ~ aInteger0(xq)
| ~ spl23_18
| ~ spl23_29
| spl23_106 ),
inference(subsumption_resolution,[],[f1467,f189]) ).
fof(f1467,plain,
( sz00 = xq
| ~ aInteger0(xq)
| ~ spl23_18
| ~ spl23_29
| spl23_106 ),
inference(resolution,[],[f1465,f1057]) ).
fof(f1465,plain,
( ~ aInteger0(sK17(xq))
| spl23_106 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1463,plain,
( spl23_106
<=> aInteger0(sK17(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_106])]) ).
fof(f1466,plain,
( spl23_105
| ~ spl23_106
| ~ spl23_18
| ~ spl23_28
| ~ spl23_29
| ~ spl23_30
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f1457,f486,f446,f442,f437,f391,f1463,f1459]) ).
fof(f437,plain,
( spl23_28
<=> aElementOf0(sK16,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f446,plain,
( spl23_30
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f486,plain,
( spl23_37
<=> ! [X0] :
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
fof(f1457,plain,
( ~ aInteger0(sK17(xq))
| sP3(sK17(xq))
| ~ spl23_18
| ~ spl23_28
| ~ spl23_29
| ~ spl23_30
| ~ spl23_37 ),
inference(subsumption_resolution,[],[f1456,f533]) ).
fof(f533,plain,
( aInteger0(sK16)
| ~ spl23_28
| ~ spl23_30 ),
inference(resolution,[],[f439,f447]) ).
fof(f447,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aInteger0(X0) )
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f439,plain,
( aElementOf0(sK16,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f1456,plain,
( ~ aInteger0(sK16)
| sP3(sK17(xq))
| ~ aInteger0(sK17(xq))
| ~ spl23_18
| ~ spl23_28
| ~ spl23_29
| ~ spl23_37 ),
inference(subsumption_resolution,[],[f1455,f191]) ).
fof(f1455,plain,
( ~ aInteger0(sK17(xq))
| sP3(sK17(xq))
| ~ aInteger0(xq)
| ~ aInteger0(sK16)
| ~ spl23_18
| ~ spl23_28
| ~ spl23_29
| ~ spl23_37 ),
inference(subsumption_resolution,[],[f1454,f189]) ).
fof(f1454,plain,
( ~ aInteger0(sK17(xq))
| sz00 = xq
| sP3(sK17(xq))
| ~ aInteger0(sK16)
| ~ aInteger0(xq)
| ~ spl23_18
| ~ spl23_28
| ~ spl23_29
| ~ spl23_37 ),
inference(subsumption_resolution,[],[f1453,f603]) ).
fof(f603,plain,
( ~ sP2(sK16)
| ~ spl23_28
| ~ spl23_37 ),
inference(resolution,[],[f274,f532]) ).
fof(f532,plain,
( ~ aElementOf0(sK16,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ spl23_28
| ~ spl23_37 ),
inference(resolution,[],[f439,f487]) ).
fof(f487,plain,
( ! [X0] :
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f274,plain,
! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( sP0
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ sP2(X0) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X1] :
( ( sP0
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ sP2(X1) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X1] :
( ( sP0
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1453,plain,
( sP2(sK16)
| ~ aInteger0(sK16)
| sz00 = xq
| ~ aInteger0(xq)
| sP3(sK17(xq))
| ~ aInteger0(sK17(xq))
| ~ spl23_18
| ~ spl23_29 ),
inference(resolution,[],[f1452,f294]) ).
fof(f294,plain,
! [X2,X1] :
( ~ sdteqdtlpzmzozddtrp0(X2,X1,xq)
| sP3(X2)
| sP2(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( ( ! [X0] :
( ( ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0) ) )
& sP6
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP7
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| sP8 )
& ! [X1,X2] :
( sP3(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sP2(X1)
| ( ~ aDivisorOf0(xq,sdtpldt0(X2,smndt0(X1)))
& ! [X3] :
( ~ aInteger0(X3)
| sdtasdt0(xq,X3) != sdtpldt0(X2,smndt0(X1)) )
& ~ sdteqdtlpzmzozddtrp0(X2,X1,xq) ) ) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
( ( ( ! [X17] :
( ( ( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X17) )
| ~ aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X17) ) )
& sP6
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP7
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| sP8 )
& ! [X1,X0] :
( sP3(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sP2(X1)
| ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
& ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(X1)) != sdtasdt0(xq,X2) )
& ~ sdteqdtlpzmzozddtrp0(X0,X1,xq) ) ) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
( ( ( ! [X17] :
( ( ( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X17) )
| ~ aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ( aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X17) ) )
& sP6
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP7
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| sP8 )
& ! [X1,X0] :
( sP3(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sP2(X1)
| ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
& ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(X1)) != sdtasdt0(xq,X2) )
& ~ sdteqdtlpzmzozddtrp0(X0,X1,xq) ) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( ( ! [X17] :
( ( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& sP6
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& sP7
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| sP8 )
& ! [X1,X0] :
( sP3(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sP2(X1)
| ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
& ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(X1)) != sdtasdt0(xq,X2) )
& ~ sdteqdtlpzmzozddtrp0(X0,X1,xq) ) ) ),
inference(definition_folding,[],[f58,f103,f102,f101,f100,f99,f98,f97,f96,f95]) ).
fof(f95,plain,
( ! [X3] :
( ( ( sdteqdtlpzmzozddtrp0(X3,xa,xq)
& aInteger0(X3)
& ? [X5] :
( sdtasdt0(xq,X5) = sdtpldt0(X3,smndt0(xa))
& aInteger0(X5) )
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa))) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aInteger0(X3)
| ( ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X3,xa,xq)
& ! [X4] :
( sdtpldt0(X3,smndt0(xa)) != sdtasdt0(xq,X4)
| ~ aInteger0(X4) ) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f96,plain,
( ! [X6] :
( ( ( aInteger0(X6)
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(xa)) = sdtasdt0(xq,X7) ) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X6,xa,xq)
& ! [X8] :
( sdtasdt0(xq,X8) != sdtpldt0(X6,smndt0(xa))
| ~ aInteger0(X8) ) ) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f99,plain,
( ! [X9] :
( ( ( ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) )
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( sdteqdtlpzmzozddtrp0(X9,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtpldt0(X9,smndt0(xa)) = sdtasdt0(xq,X10) ) ) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f101,plain,
( ! [X14] :
( ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X14)
| ( ~ sdteqdtlpzmzozddtrp0(X14,xa,xq)
& ! [X15] :
( ~ aInteger0(X15)
| sdtpldt0(X14,smndt0(xa)) != sdtasdt0(xq,X15) )
& ~ aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa))) ) )
& ( ( ? [X16] :
( sdtpldt0(X14,smndt0(xa)) = sdtasdt0(xq,X16)
& aInteger0(X16) )
& sdteqdtlpzmzozddtrp0(X14,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& aInteger0(X14) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f102,plain,
( ? [X18] :
( aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X19] :
( ( ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& sP5(X18,X19)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X19)
| sz00 = X19 ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f103,plain,
( ( ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) )
& sP4
& aSet0(cS1395)
& ? [X13] :
( aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X13,cS1395) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f58,plain,
( ( ( ! [X17] :
( ( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [X14] :
( ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X14)
| ( ~ sdteqdtlpzmzozddtrp0(X14,xa,xq)
& ! [X15] :
( ~ aInteger0(X15)
| sdtpldt0(X14,smndt0(xa)) != sdtasdt0(xq,X15) )
& ~ aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa))) ) )
& ( ( ? [X16] :
( sdtpldt0(X14,smndt0(xa)) = sdtasdt0(xq,X16)
& aInteger0(X16) )
& sdteqdtlpzmzozddtrp0(X14,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& aInteger0(X14) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ? [X18] :
( aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X19] :
( ( ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& ! [X20] :
( ( ( ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ! [X21] :
( ~ aInteger0(X21)
| sdtasdt0(X19,X21) != sdtpldt0(X20,smndt0(X18)) ) )
| aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ~ aInteger0(X20) )
& ( ( aInteger0(X20)
& sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ? [X22] :
( aInteger0(X22)
& sdtasdt0(X19,X22) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18))) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) ) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X19)
| sz00 = X19 ) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ( ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) )
& ! [X9] :
( ( ( ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) )
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( sdteqdtlpzmzozddtrp0(X9,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtpldt0(X9,smndt0(xa)) = sdtasdt0(xq,X10) ) ) ) )
& aSet0(cS1395)
& ? [X13] :
( aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X13,cS1395) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) )
& ! [X1,X0] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X6] :
( ( ( aInteger0(X6)
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(xa)) = sdtasdt0(xq,X7) ) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X6,xa,xq)
& ! [X8] :
( sdtasdt0(xq,X8) != sdtpldt0(X6,smndt0(xa))
| ~ aInteger0(X8) ) ) ) )
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( ! [X3] :
( ( ( sdteqdtlpzmzozddtrp0(X3,xa,xq)
& aInteger0(X3)
& ? [X5] :
( sdtasdt0(xq,X5) = sdtpldt0(X3,smndt0(xa))
& aInteger0(X5) )
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa))) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aInteger0(X3)
| ( ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X3,xa,xq)
& ! [X4] :
( sdtpldt0(X3,smndt0(xa)) != sdtasdt0(xq,X4)
| ~ aInteger0(X4) ) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
& ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(X1)) != sdtasdt0(xq,X2) )
& ~ sdteqdtlpzmzozddtrp0(X0,X1,xq) ) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
( ( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& ? [X13] :
( aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X13,cS1395) )
& ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) )
& aSet0(cS1395)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X9] :
( ( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X9)
| ( ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) ) )
& ( ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( sdteqdtlpzmzozddtrp0(X9,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtpldt0(X9,smndt0(xa)) = sdtasdt0(xq,X10) ) ) ) ) )
| ( ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ? [X18] :
( ! [X19] :
( sz00 = X19
| ~ aInteger0(X19)
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ! [X20] :
( ( ( aInteger0(X20)
& sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ? [X22] :
( aInteger0(X22)
& sdtasdt0(X19,X22) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18))) )
| ~ aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& ( aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
| ( ~ aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18)))
& ~ sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ! [X21] :
( ~ aInteger0(X21)
| sdtasdt0(X19,X21) != sdtpldt0(X20,smndt0(X18)) ) )
| ~ aInteger0(X20) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19)) ) )
& aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( ( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [X14] :
( ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(X14,xa,xq)
& ! [X15] :
( ~ aInteger0(X15)
| sdtpldt0(X14,smndt0(xa)) != sdtasdt0(xq,X15) )
& ~ aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa))) )
| ~ aInteger0(X14) )
& ( ( ? [X16] :
( sdtpldt0(X14,smndt0(xa)) = sdtasdt0(xq,X16)
& aInteger0(X16) )
& sdteqdtlpzmzozddtrp0(X14,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& aInteger0(X14) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ) )
& ! [X0,X1] :
( ( ! [X6] :
( ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X6,xa,xq)
& ! [X8] :
( sdtasdt0(xq,X8) != sdtpldt0(X6,smndt0(xa))
| ~ aInteger0(X8) ) )
| ~ aInteger0(X6) )
& ( ( aInteger0(X6)
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(xa)) = sdtasdt0(xq,X7) ) )
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
& ! [X2] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(X1)) != sdtasdt0(xq,X2) )
& ~ sdteqdtlpzmzozddtrp0(X0,X1,xq) )
| ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(X3,xa,xq)
& ! [X4] :
( sdtpldt0(X3,smndt0(xa)) != sdtasdt0(xq,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,xa,xq)
& aInteger0(X3)
& ? [X5] :
( sdtasdt0(xq,X5) = sdtpldt0(X3,smndt0(xa))
& aInteger0(X5) )
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa))) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ( ! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> ( ( ( ? [X2] :
( sdtpldt0(X0,smndt0(X1)) = sdtasdt0(xq,X2)
& aInteger0(X2) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,xq) )
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X3] :
( ( ( ( aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa)))
| ? [X4] :
( sdtpldt0(X3,smndt0(xa)) = sdtasdt0(xq,X4)
& aInteger0(X4) )
| sdteqdtlpzmzozddtrp0(X3,xa,xq) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X3,xa,xq)
& aInteger0(X3)
& ? [X5] :
( sdtasdt0(xq,X5) = sdtpldt0(X3,smndt0(xa))
& aInteger0(X5) )
& aDivisorOf0(xq,sdtpldt0(X3,smndt0(xa))) ) ) ) )
=> ( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ! [X6] :
( ( ( ( ? [X8] :
( aInteger0(X8)
& sdtasdt0(xq,X8) = sdtpldt0(X6,smndt0(xa)) )
| sdteqdtlpzmzozddtrp0(X6,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa))) )
& aInteger0(X6) )
=> aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X6)
& aDivisorOf0(xq,sdtpldt0(X6,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X6,xa,xq)
& ? [X7] :
( aInteger0(X7)
& sdtpldt0(X6,smndt0(xa)) = sdtasdt0(xq,X7) ) ) ) )
& aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X9] :
( ( ( aInteger0(X9)
& ( sdteqdtlpzmzozddtrp0(X9,xa,xq)
| ? [X11] :
( sdtpldt0(X9,smndt0(xa)) = sdtasdt0(xq,X11)
& aInteger0(X11) )
| aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa))) ) )
=> aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X9,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtpldt0(X9,smndt0(xa)) = sdtasdt0(xq,X10) ) ) ) ) )
=> ( ( ! [X12] :
( aElementOf0(X12,cS1395)
<=> aInteger0(X12) )
& aSet0(cS1395) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ! [X13] :
( aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X13,cS1395) ) ) ) )
& ( ! [X14] :
( ( ( ( aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X14,xa,xq)
| ? [X15] :
( aInteger0(X15)
& sdtpldt0(X14,smndt0(xa)) = sdtasdt0(xq,X15) ) )
& aInteger0(X14) )
=> aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( ? [X16] :
( sdtpldt0(X14,smndt0(xa)) = sdtasdt0(xq,X16)
& aInteger0(X16) )
& sdteqdtlpzmzozddtrp0(X14,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X14,smndt0(xa)))
& aInteger0(X14) ) ) )
=> ( isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X17] :
( ( ~ aElementOf0(X17,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X17) )
<=> aElementOf0(X17,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
=> ( ! [X18] :
( aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X19] :
( sz00 != X19
& aInteger0(X19)
& ( ( ! [X20] :
( ( aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19))
=> ( aInteger0(X20)
& sdteqdtlpzmzozddtrp0(X20,X18,X19)
& ? [X22] :
( aInteger0(X22)
& sdtasdt0(X19,X22) = sdtpldt0(X20,smndt0(X18)) )
& aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18))) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X20,X18,X19)
| ? [X21] :
( aInteger0(X21)
& sdtasdt0(X19,X21) = sdtpldt0(X20,smndt0(X18)) )
| aDivisorOf0(X19,sdtpldt0(X20,smndt0(X18))) )
& aInteger0(X20) )
=> aElementOf0(X20,szAzrzSzezqlpdtcmdtrp0(X18,X19)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ! [X23] :
( aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19))
=> aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ) ) ) ),
inference(rectify,[],[f43]) ).
fof(f43,negated_conjecture,
~ ( ! [X1,X0] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( ( ( aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X1,X0,xq)
| ? [X2] :
( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(X0))
& aInteger0(X2) ) )
& ( ( ! [X2] :
( ( ( ( aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
| ? [X3] :
( sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa))
& aInteger0(X3) )
| sdteqdtlpzmzozddtrp0(X2,xa,xq) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,xa,xq)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa))) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa))
& aInteger0(X3) )
| sdteqdtlpzmzozddtrp0(X2,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa))) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) ) ) )
& ( ( ( aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
| sdteqdtlpzmzozddtrp0(X0,xa,xq) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X0] :
( ( ( aInteger0(X0)
& ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aInteger0(X0)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) ) ) ) )
=> ( ( ( ! [X0] :
( ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X1] :
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& sz00 != X1
& aInteger0(X1) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
( ! [X1,X0] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> ( ( ( aDivisorOf0(xq,sdtpldt0(X1,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X1,X0,xq)
| ? [X2] :
( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(X0))
& aInteger0(X2) ) )
& ( ( ! [X2] :
( ( ( ( aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
| ? [X3] :
( sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa))
& aInteger0(X3) )
| sdteqdtlpzmzozddtrp0(X2,xa,xq) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,xa,xq)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa))) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X2)
& aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa)))
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa)) )
& sdteqdtlpzmzozddtrp0(X2,xa,xq) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( sdtasdt0(xq,X3) = sdtpldt0(X2,smndt0(xa))
& aInteger0(X3) )
| sdteqdtlpzmzozddtrp0(X2,xa,xq)
| aDivisorOf0(xq,sdtpldt0(X2,smndt0(xa))) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
=> ( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X0] :
( ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X0)
& sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) ) ) )
& ( ( ( aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
| sdteqdtlpzmzozddtrp0(X0,xa,xq) )
& aInteger0(X0) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ) ) )
& ( ! [X0] :
( ( ( aInteger0(X0)
& ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa))
& aInteger0(X1) )
| aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) ) )
=> aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aInteger0(X0)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)) ) ) ) )
=> ( ( ( ! [X0] :
( ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(X0) )
<=> aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [X1] :
( ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& ! [X2] :
( ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1)
| ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& sz00 != X1
& aInteger0(X1) ) )
| isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
| isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1452,plain,
( ! [X8] :
( sdteqdtlpzmzozddtrp0(sK17(X8),sK16,X8)
| sz00 = X8
| ~ aInteger0(X8) )
| ~ spl23_18
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1451,f443]) ).
fof(f1451,plain,
( ! [X8] :
( ~ sP5(sK16,X8)
| sz00 = X8
| ~ aInteger0(X8)
| sdteqdtlpzmzozddtrp0(sK17(X8),sK16,X8) )
| ~ spl23_18 ),
inference(resolution,[],[f257,f392]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sP5(X0,X1)
| sdteqdtlpzmzozddtrp0(X2,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f529,plain,
( ~ spl23_13
| spl23_14
| ~ spl23_25
| ~ spl23_38 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| ~ spl23_13
| spl23_14
| ~ spl23_25
| ~ spl23_38 ),
inference(subsumption_resolution,[],[f527,f512]) ).
fof(f512,plain,
( ~ aInteger0(sK15)
| spl23_14
| ~ spl23_25 ),
inference(resolution,[],[f424,f374]) ).
fof(f374,plain,
( ~ aElementOf0(sK15,cS1395)
| spl23_14 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl23_14
<=> aElementOf0(sK15,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f424,plain,
( ! [X0] :
( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) )
| ~ spl23_25 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl23_25
<=> ! [X0] :
( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f527,plain,
( aInteger0(sK15)
| ~ spl23_13
| ~ spl23_38 ),
inference(resolution,[],[f369,f492]) ).
fof(f492,plain,
( aElementOf0(sK15,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ spl23_38 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl23_38
<=> aElementOf0(sK15,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_38])]) ).
fof(f369,plain,
( ! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(X0) )
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl23_13
<=> ! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f493,plain,
( spl23_38
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f235,f329,f490]) ).
fof(f329,plain,
( spl23_4
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f235,plain,
( ~ sP8
| aElementOf0(sK15,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( ! [X0] :
( ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) )
& ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ) )
& sP4
& aSet0(cS1395)
& aElementOf0(sK15,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(sK15,cS1395)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f141,f142]) ).
fof(f142,plain,
( ? [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X1,cS1395) )
=> ( aElementOf0(sK15,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(sK15,cS1395) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ( ! [X0] :
( ( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) )
& ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ) )
& sP4
& aSet0(cS1395)
& ? [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X1,cS1395) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) )
| ~ sP8 ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( ( ! [X12] :
( ( aElementOf0(X12,cS1395)
| ~ aInteger0(X12) )
& ( aInteger0(X12)
| ~ aElementOf0(X12,cS1395) ) )
& sP4
& aSet0(cS1395)
& ? [X13] :
( aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(X13,cS1395) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) )
| ~ sP8 ),
inference(nnf_transformation,[],[f103]) ).
fof(f488,plain,
( spl23_4
| spl23_37 ),
inference(avatar_split_clause,[],[f304,f486,f329]) ).
fof(f304,plain,
! [X0] :
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP8
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f454,plain,
( spl23_4
| spl23_10 ),
inference(avatar_split_clause,[],[f298,f354,f329]) ).
fof(f354,plain,
( spl23_10
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f298,plain,
( sP7
| sP8 ),
inference(cnf_transformation,[],[f174]) ).
fof(f448,plain,
( spl23_4
| spl23_30 ),
inference(avatar_split_clause,[],[f303,f446,f329]) ).
fof(f303,plain,
! [X0] :
( aInteger0(X0)
| sP8
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(cnf_transformation,[],[f174]) ).
fof(f444,plain,
( ~ spl23_10
| spl23_29 ),
inference(avatar_split_clause,[],[f241,f442,f354]) ).
fof(f241,plain,
! [X1] :
( sP5(sK16,X1)
| ~ sP7
| ~ aInteger0(X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( aElementOf0(sK16,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X1] :
( ( ~ aElementOf0(sK17(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(sK17(X1),szAzrzSzezqlpdtcmdtrp0(sK16,X1))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK16,X1))
& sP5(sK16,X1)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK16,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X1)
| sz00 = X1 ) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f145,f147,f146]) ).
fof(f146,plain,
( ? [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X1] :
( ( ? [X2] :
( ~ aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP5(X0,X1)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X1)
| sz00 = X1 ) )
=> ( aElementOf0(sK16,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X1] :
( ( ? [X2] :
( ~ aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK16,X1)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK16,X1))
& sP5(sK16,X1)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK16,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X1)
| sz00 = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK16,X1)) )
=> ( ~ aElementOf0(sK17(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(sK17(X1),szAzrzSzezqlpdtcmdtrp0(sK16,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X0] :
( aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X1] :
( ( ? [X2] :
( ~ aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sP5(X0,X1)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X1)
| sz00 = X1 ) )
| ~ sP7 ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
( ? [X18] :
( aElementOf0(X18,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [X19] :
( ( ? [X23] :
( ~ aElementOf0(X23,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(X23,szAzrzSzezqlpdtcmdtrp0(X18,X19)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X18,X19))
& sP5(X18,X19)
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X18,X19),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
| ~ aInteger0(X19)
| sz00 = X19 ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f102]) ).
fof(f440,plain,
( ~ spl23_10
| spl23_28 ),
inference(avatar_split_clause,[],[f245,f437,f354]) ).
fof(f245,plain,
( aElementOf0(sK16,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ sP7 ),
inference(cnf_transformation,[],[f148]) ).
fof(f425,plain,
( ~ spl23_4
| spl23_25 ),
inference(avatar_split_clause,[],[f239,f423,f329]) ).
fof(f239,plain,
! [X0] :
( aElementOf0(X0,cS1395)
| ~ aInteger0(X0)
| ~ sP8 ),
inference(cnf_transformation,[],[f143]) ).
fof(f415,plain,
( ~ spl23_3
| spl23_13 ),
inference(avatar_split_clause,[],[f264,f368,f325]) ).
fof(f325,plain,
( spl23_3
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f264,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ! [X0] :
( ( ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ! [X1] :
( ~ aInteger0(X1)
| sdtasdt0(xq,X1) != sdtpldt0(X0,smndt0(xa)) )
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& aInteger0(X0)
& aInteger0(sK20(X0))
& sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,sK20(X0)) ) ) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f158,f159]) ).
fof(f159,plain,
! [X0] :
( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X0,smndt0(xa)) )
=> ( aInteger0(sK20(X0))
& sdtpldt0(X0,smndt0(xa)) = sdtasdt0(xq,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ! [X0] :
( ( ( ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& ! [X1] :
( ~ aInteger0(X1)
| sdtasdt0(xq,X1) != sdtpldt0(X0,smndt0(xa)) )
& ~ sdteqdtlpzmzozddtrp0(X0,xa,xq) )
| ~ aInteger0(X0)
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
& aInteger0(X0)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X0,smndt0(xa)) ) ) ) )
| ~ sP4 ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
( ! [X9] :
( ( ( ~ aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& ! [X11] :
( ~ aInteger0(X11)
| sdtpldt0(X9,smndt0(xa)) != sdtasdt0(xq,X11) )
& ~ sdteqdtlpzmzozddtrp0(X9,xa,xq) )
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( sdteqdtlpzmzozddtrp0(X9,xa,xq)
& aDivisorOf0(xq,sdtpldt0(X9,smndt0(xa)))
& aInteger0(X9)
& ? [X10] :
( aInteger0(X10)
& sdtpldt0(X9,smndt0(xa)) = sdtasdt0(xq,X10) ) ) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f99]) ).
fof(f397,plain,
( spl23_4
| spl23_19 ),
inference(avatar_split_clause,[],[f302,f395,f329]) ).
fof(f302,plain,
! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP8 ),
inference(cnf_transformation,[],[f174]) ).
fof(f393,plain,
( spl23_18
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f243,f354,f391]) ).
fof(f243,plain,
! [X1] :
( ~ sP7
| sz00 = X1
| aElementOf0(sK17(X1),szAzrzSzezqlpdtcmdtrp0(sK16,X1))
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f375,plain,
( ~ spl23_14
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f234,f329,f372]) ).
fof(f234,plain,
( ~ sP8
| ~ aElementOf0(sK15,cS1395) ),
inference(cnf_transformation,[],[f143]) ).
fof(f360,plain,
( ~ spl23_10
| spl23_11 ),
inference(avatar_split_clause,[],[f244,f358,f354]) ).
fof(f244,plain,
! [X1] :
( ~ aInteger0(X1)
| ~ sP7
| sz00 = X1
| ~ aElementOf0(sK17(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(cnf_transformation,[],[f148]) ).
fof(f332,plain,
( spl23_3
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f237,f329,f325]) ).
fof(f237,plain,
( ~ sP8
| sP4 ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM444+6 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 06:32:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (31199)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.47 % (31199)Instruction limit reached!
% 0.18/0.47 % (31199)------------------------------
% 0.18/0.47 % (31199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (31199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (31199)Termination reason: Unknown
% 0.18/0.47 % (31199)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (31199)Memory used [KB]: 6908
% 0.18/0.47 % (31199)Time elapsed: 0.065 s
% 0.18/0.47 % (31199)Instructions burned: 51 (million)
% 0.18/0.47 % (31199)------------------------------
% 0.18/0.47 % (31199)------------------------------
% 0.18/0.49 % (31179)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.49 % (31179)Instruction limit reached!
% 0.18/0.49 % (31179)------------------------------
% 0.18/0.49 % (31179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (31179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (31179)Termination reason: Unknown
% 0.18/0.49 % (31179)Termination phase: Property scanning
% 0.18/0.49
% 0.18/0.49 % (31179)Memory used [KB]: 1791
% 0.18/0.49 % (31179)Time elapsed: 0.006 s
% 0.18/0.49 % (31179)Instructions burned: 15 (million)
% 0.18/0.49 % (31179)------------------------------
% 0.18/0.49 % (31179)------------------------------
% 0.18/0.50 % (31183)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.50 % (31204)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50 % (31195)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.51 % (31187)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.51 % (31204)Instruction limit reached!
% 0.18/0.51 % (31204)------------------------------
% 0.18/0.51 % (31204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (31174)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (31189)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (31190)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (31202)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (31189)Instruction limit reached!
% 0.18/0.52 % (31189)------------------------------
% 0.18/0.52 % (31189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (31189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (31189)Termination reason: Unknown
% 0.18/0.52 % (31189)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (31189)Memory used [KB]: 1663
% 0.18/0.52 % (31189)Time elapsed: 0.003 s
% 0.18/0.52 % (31189)Instructions burned: 5 (million)
% 0.18/0.52 % (31189)------------------------------
% 0.18/0.52 % (31189)------------------------------
% 0.18/0.52 % (31178)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (31180)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (31204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (31204)Termination reason: Unknown
% 0.18/0.52 % (31204)Termination phase: Property scanning
% 0.18/0.52
% 0.18/0.52 % (31204)Memory used [KB]: 1663
% 0.18/0.52 % (31204)Time elapsed: 0.006 s
% 0.18/0.52 % (31204)Instructions burned: 9 (million)
% 0.18/0.52 % (31204)------------------------------
% 0.18/0.52 % (31204)------------------------------
% 0.18/0.52 % (31176)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (31200)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.52 % (31176)Instruction limit reached!
% 0.18/0.52 % (31176)------------------------------
% 0.18/0.52 % (31176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (31181)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.52 % (31182)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.52 % (31188)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (31192)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53 % (31193)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (31176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (31176)Termination reason: Unknown
% 0.18/0.53 % (31176)Termination phase: Preprocessing 3
% 0.18/0.53
% 0.18/0.53 % (31176)Memory used [KB]: 1535
% 0.18/0.53 % (31176)Time elapsed: 0.004 s
% 0.18/0.53 % (31176)Instructions burned: 3 (million)
% 0.18/0.53 % (31176)------------------------------
% 0.18/0.53 % (31176)------------------------------
% 0.18/0.53 % (31187)Instruction limit reached!
% 0.18/0.53 % (31187)------------------------------
% 0.18/0.53 % (31187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (31184)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.53 % (31187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (31187)Termination reason: Unknown
% 0.18/0.53 % (31187)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (31187)Memory used [KB]: 1918
% 0.18/0.53 % (31187)Time elapsed: 0.137 s
% 0.18/0.53 % (31187)Instructions burned: 16 (million)
% 0.18/0.53 % (31187)------------------------------
% 0.18/0.53 % (31187)------------------------------
% 0.18/0.53 % (31203)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.53 % (31198)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.53 % (31197)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.53 % (31186)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (31244)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 0.18/0.53 % (31190)Instruction limit reached!
% 0.18/0.53 % (31190)------------------------------
% 0.18/0.53 % (31190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (31190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (31190)Termination reason: Unknown
% 0.18/0.53 % (31190)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (31190)Memory used [KB]: 6268
% 0.18/0.53 % (31190)Time elapsed: 0.005 s
% 0.18/0.53 % (31190)Instructions burned: 8 (million)
% 0.18/0.53 % (31190)------------------------------
% 0.18/0.53 % (31190)------------------------------
% 0.18/0.53 % (31205)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.53 % (31192)Instruction limit reached!
% 0.18/0.53 % (31192)------------------------------
% 0.18/0.53 % (31192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (31192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (31192)Termination reason: Unknown
% 0.18/0.53 % (31192)Termination phase: Preprocessing 3
% 0.18/0.53
% 0.18/0.53 % (31192)Memory used [KB]: 1535
% 0.18/0.53 % (31192)Time elapsed: 0.004 s
% 0.18/0.53 % (31192)Instructions burned: 3 (million)
% 0.18/0.53 % (31192)------------------------------
% 0.18/0.53 % (31192)------------------------------
% 0.18/0.53 % (31175)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.54 % (31195)Instruction limit reached!
% 0.18/0.54 % (31195)------------------------------
% 0.18/0.54 % (31195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (31195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (31195)Termination reason: Unknown
% 0.18/0.54 % (31195)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (31195)Memory used [KB]: 6652
% 0.18/0.54 % (31195)Time elapsed: 0.153 s
% 0.18/0.54 % (31195)Instructions burned: 31 (million)
% 0.18/0.54 % (31195)------------------------------
% 0.18/0.54 % (31195)------------------------------
% 0.18/0.54 % (31196)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.55/0.54 % (31185)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.55/0.54 % (31186)Instruction limit reached!
% 1.55/0.54 % (31186)------------------------------
% 1.55/0.54 % (31186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (31193)Instruction limit reached!
% 1.55/0.55 % (31193)------------------------------
% 1.55/0.55 % (31193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (31193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (31193)Termination reason: Unknown
% 1.55/0.55 % (31193)Termination phase: Preprocessing 3
% 1.55/0.55
% 1.55/0.55 % (31193)Memory used [KB]: 1535
% 1.55/0.55 % (31193)Time elapsed: 0.004 s
% 1.55/0.55 % (31193)Instructions burned: 3 (million)
% 1.55/0.55 % (31193)------------------------------
% 1.55/0.55 % (31193)------------------------------
% 1.55/0.55 % (31186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (31180)Instruction limit reached!
% 1.55/0.55 % (31180)------------------------------
% 1.55/0.55 % (31180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (31180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (31180)Termination reason: Unknown
% 1.55/0.55 % (31180)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (31180)Memory used [KB]: 1918
% 1.55/0.55 % (31180)Time elapsed: 0.156 s
% 1.55/0.55 % (31180)Instructions burned: 15 (million)
% 1.55/0.55 % (31180)------------------------------
% 1.55/0.55 % (31180)------------------------------
% 1.55/0.55 % (31186)Termination reason: Unknown
% 1.55/0.55 % (31186)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (31186)Memory used [KB]: 6268
% 1.55/0.55 % (31186)Time elapsed: 0.008 s
% 1.55/0.55 % (31186)Instructions burned: 9 (million)
% 1.55/0.55 % (31186)------------------------------
% 1.55/0.55 % (31186)------------------------------
% 1.55/0.55 % (31175)Instruction limit reached!
% 1.55/0.55 % (31175)------------------------------
% 1.55/0.55 % (31175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (31175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (31175)Termination reason: Unknown
% 1.55/0.55 % (31175)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (31175)Memory used [KB]: 6396
% 1.55/0.55 % (31175)Time elapsed: 0.153 s
% 1.55/0.55 % (31175)Instructions burned: 14 (million)
% 1.55/0.55 % (31175)------------------------------
% 1.55/0.55 % (31175)------------------------------
% 1.55/0.55 % (31191)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.55/0.55 % (31194)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.55/0.55 % (31194)Instruction limit reached!
% 1.55/0.55 % (31194)------------------------------
% 1.55/0.55 % (31194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (31194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (31194)Termination reason: Unknown
% 1.55/0.55 % (31194)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (31194)Memory used [KB]: 1791
% 1.55/0.55 % (31194)Time elapsed: 0.007 s
% 1.55/0.55 % (31194)Instructions burned: 11 (million)
% 1.55/0.55 % (31194)------------------------------
% 1.55/0.55 % (31194)------------------------------
% 1.55/0.56 % (31185)Instruction limit reached!
% 1.55/0.56 % (31185)------------------------------
% 1.55/0.56 % (31185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (31205)Instruction limit reached!
% 1.55/0.56 % (31205)------------------------------
% 1.55/0.56 % (31205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (31185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (31185)Termination reason: Unknown
% 1.55/0.56 % (31185)Termination phase: Saturation
% 1.55/0.56 % (31205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56
% 1.55/0.56 % (31205)Termination reason: Unknown
% 1.55/0.56 % (31205)Termination phase: Property scanning
% 1.55/0.56
% 1.55/0.56 % (31185)Memory used [KB]: 6396
% 1.55/0.56 % (31185)Time elapsed: 0.167 s
% 1.55/0.56 % (31185)Instructions burned: 12 (million)
% 1.55/0.56 % (31205)Memory used [KB]: 1791
% 1.55/0.56 % (31185)------------------------------
% 1.55/0.56 % (31185)------------------------------
% 1.55/0.56 % (31205)Time elapsed: 0.010 s
% 1.55/0.56 % (31205)Instructions burned: 25 (million)
% 1.55/0.56 % (31205)------------------------------
% 1.55/0.56 % (31205)------------------------------
% 1.68/0.57 % (31203)Instruction limit reached!
% 1.68/0.57 % (31203)------------------------------
% 1.68/0.57 % (31203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57 % (31203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57 % (31203)Termination reason: Unknown
% 1.68/0.57 % (31203)Termination phase: Saturation
% 1.68/0.57
% 1.68/0.57 % (31203)Memory used [KB]: 6652
% 1.68/0.57 % (31203)Time elapsed: 0.176 s
% 1.68/0.57 % (31203)Instructions burned: 25 (million)
% 1.68/0.57 % (31203)------------------------------
% 1.68/0.57 % (31203)------------------------------
% 1.68/0.57 % (31183)Instruction limit reached!
% 1.68/0.57 % (31183)------------------------------
% 1.68/0.57 % (31183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (31183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (31183)Termination reason: Unknown
% 1.68/0.58 % (31183)Termination phase: Saturation
% 1.68/0.58
% 1.68/0.58 % (31183)Memory used [KB]: 7291
% 1.68/0.58 % (31183)Time elapsed: 0.171 s
% 1.68/0.58 % (31183)Instructions burned: 50 (million)
% 1.68/0.58 % (31183)------------------------------
% 1.68/0.58 % (31183)------------------------------
% 1.68/0.59 % (31178)Instruction limit reached!
% 1.68/0.59 % (31178)------------------------------
% 1.68/0.59 % (31178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59 % (31178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (31178)Termination reason: Unknown
% 1.68/0.59 % (31178)Termination phase: Saturation
% 1.68/0.59
% 1.68/0.59 % (31178)Memory used [KB]: 7036
% 1.68/0.59 % (31178)Time elapsed: 0.168 s
% 1.68/0.59 % (31178)Instructions burned: 51 (million)
% 1.68/0.59 % (31178)------------------------------
% 1.68/0.59 % (31178)------------------------------
% 1.68/0.59 % (31184)Instruction limit reached!
% 1.68/0.59 % (31184)------------------------------
% 1.68/0.59 % (31184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59 % (31184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (31184)Termination reason: Unknown
% 1.68/0.59 % (31184)Termination phase: Saturation
% 1.68/0.59
% 1.68/0.59 % (31184)Memory used [KB]: 6780
% 1.68/0.59 % (31184)Time elapsed: 0.181 s
% 1.68/0.59 % (31184)Instructions burned: 34 (million)
% 1.68/0.59 % (31184)------------------------------
% 1.68/0.59 % (31184)------------------------------
% 1.68/0.60 % (31182)Instruction limit reached!
% 1.68/0.60 % (31182)------------------------------
% 1.68/0.60 % (31182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60 % (31181)First to succeed.
% 1.68/0.60 % (31198)Instruction limit reached!
% 1.68/0.60 % (31198)------------------------------
% 1.68/0.60 % (31198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60 % (31182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60 % (31182)Termination reason: Unknown
% 1.68/0.60 % (31182)Termination phase: Saturation
% 1.68/0.60
% 1.68/0.60 % (31182)Memory used [KB]: 6908
% 1.68/0.60 % (31182)Time elapsed: 0.146 s
% 1.68/0.60 % (31182)Instructions burned: 39 (million)
% 1.68/0.60 % (31182)------------------------------
% 1.68/0.60 % (31182)------------------------------
% 1.68/0.60 % (31188)Instruction limit reached!
% 1.68/0.60 % (31188)------------------------------
% 1.68/0.60 % (31188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60 % (31188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60 % (31188)Termination reason: Unknown
% 1.68/0.60 % (31188)Termination phase: Saturation
% 1.68/0.60 % (31198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60
% 1.68/0.60 % (31188)Memory used [KB]: 7419
% 1.68/0.60 % (31188)Time elapsed: 0.185 s
% 1.68/0.60 % (31188)Instructions burned: 52 (million)
% 1.68/0.60 % (31188)------------------------------
% 1.68/0.60 % (31188)------------------------------
% 1.68/0.60 % (31198)Termination reason: Unknown
% 1.68/0.60 % (31198)Termination phase: Saturation
% 1.68/0.60
% 1.68/0.60 % (31198)Memory used [KB]: 2430
% 1.68/0.60 % (31198)Time elapsed: 0.166 s
% 1.68/0.60 % (31198)Instructions burned: 45 (million)
% 1.68/0.60 % (31198)------------------------------
% 1.68/0.60 % (31198)------------------------------
% 1.68/0.62 % (31181)Refutation found. Thanks to Tanya!
% 1.68/0.62 % SZS status Theorem for theBenchmark
% 1.68/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.62 % (31181)------------------------------
% 1.68/0.62 % (31181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.62 % (31181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.62 % (31181)Termination reason: Refutation
% 1.68/0.62
% 1.68/0.62 % (31181)Memory used [KB]: 7036
% 1.68/0.62 % (31181)Time elapsed: 0.214 s
% 1.68/0.62 % (31181)Instructions burned: 36 (million)
% 1.68/0.62 % (31181)------------------------------
% 1.68/0.62 % (31181)------------------------------
% 1.68/0.62 % (31164)Success in time 0.265 s
%------------------------------------------------------------------------------