TSTP Solution File: NUM540+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM540+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:37:28 EDT 2024
% Result : Theorem 0.16s 0.37s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 62
% Syntax : Number of formulae : 355 ( 33 unt; 0 def)
% Number of atoms : 1050 ( 164 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1171 ( 476 ~; 519 |; 94 &)
% ( 57 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 46 ( 44 usr; 35 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 219 ( 202 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1143,plain,
$false,
inference(avatar_sat_refutation,[],[f337,f349,f351,f356,f384,f408,f411,f443,f446,f455,f495,f498,f508,f526,f555,f559,f588,f591,f679,f684,f694,f713,f716,f718,f721,f860,f865,f896,f899,f920,f924,f934,f937,f989,f1012,f1032,f1049,f1087,f1105,f1107,f1140]) ).
fof(f1140,plain,
spl13_8,
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1139,plain,
( $false
| spl13_8 ),
inference(subsumption_resolution,[],[f1138,f182]) ).
fof(f182,plain,
slcrc0 != slbdtrb0(sz00),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
slcrc0 != slbdtrb0(sz00),
inference(flattening,[],[f53]) ).
fof(f53,negated_conjecture,
slcrc0 != slbdtrb0(sz00),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1138,plain,
( slcrc0 = slbdtrb0(sz00)
| spl13_8 ),
inference(subsumption_resolution,[],[f1129,f292]) ).
fof(f292,plain,
sP1(sz00),
inference(resolution,[],[f224,f184]) ).
fof(f184,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f224,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sP1(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f90,f129,f128]) ).
fof(f128,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f1129,plain,
( ~ sP1(sz00)
| slcrc0 = slbdtrb0(sz00)
| spl13_8 ),
inference(resolution,[],[f359,f442]) ).
fof(f442,plain,
( ~ aElementOf0(sK9(slbdtrb0(sz00)),szNzAzT0)
| spl13_8 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl13_8
<=> aElementOf0(sK9(slbdtrb0(sz00)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f359,plain,
! [X0] :
( aElementOf0(sK9(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0)
| slcrc0 = slbdtrb0(X0) ),
inference(subsumption_resolution,[],[f358,f298]) ).
fof(f298,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f275,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aSet0(X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0)
| ~ aElementOf0(sK6(X0,X1),szNzAzT0)
| ~ aElementOf0(sK6(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0)
& aElementOf0(sK6(X0,X1),szNzAzT0) )
| aElementOf0(sK6(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f147,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0)
| ~ aElementOf0(sK6(X0,X1),szNzAzT0)
| ~ aElementOf0(sK6(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0)
& aElementOf0(sK6(X0,X1),szNzAzT0) )
| aElementOf0(sK6(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f275,plain,
! [X0] :
( sP0(X0,slbdtrb0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( sP0(X0,X1)
| slbdtrb0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| slbdtrb0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f358,plain,
! [X0] :
( aElementOf0(sK9(slbdtrb0(X0)),szNzAzT0)
| ~ sP1(X0)
| slcrc0 = slbdtrb0(X0)
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f319,f239]) ).
fof(f239,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK9(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f162,f163]) ).
fof(f163,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f319,plain,
! [X0,X1] :
( ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,szNzAzT0)
| ~ sP1(X1) ),
inference(resolution,[],[f218,f275]) ).
fof(f218,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f1107,plain,
( spl13_3
| ~ spl13_4
| ~ spl13_32
| ~ spl13_33 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| spl13_3
| ~ spl13_4
| ~ spl13_32
| ~ spl13_33 ),
inference(subsumption_resolution,[],[f1101,f385]) ).
fof(f385,plain,
( ~ aElement0(sK5(sz00))
| spl13_3
| ~ spl13_4 ),
inference(superposition,[],[f378,f383]) ).
fof(f383,plain,
( sz00 = sK9(szNzAzT0)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl13_4
<=> sz00 = sK9(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f378,plain,
( ~ aElement0(sK5(sK9(szNzAzT0)))
| spl13_3 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl13_3
<=> aElement0(sK5(sK9(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f1101,plain,
( aElement0(sK5(sz00))
| ~ spl13_32
| ~ spl13_33 ),
inference(superposition,[],[f1062,f988]) ).
fof(f988,plain,
( sz00 = szmzizndt0(szNzAzT0)
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f986,plain,
( spl13_32
<=> sz00 = szmzizndt0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f1062,plain,
( aElement0(sK5(szmzizndt0(szNzAzT0)))
| ~ spl13_33 ),
inference(subsumption_resolution,[],[f1058,f185]) ).
fof(f185,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f1058,plain,
( aElement0(sK5(szmzizndt0(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| ~ spl13_33 ),
inference(resolution,[],[f1006,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f1006,plain,
( aElementOf0(sK5(szmzizndt0(szNzAzT0)),szNzAzT0)
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1005,plain,
( spl13_33
<=> aElementOf0(sK5(szmzizndt0(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f1105,plain,
( spl13_13
| ~ spl13_32
| ~ spl13_33 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| spl13_13
| ~ spl13_32
| ~ spl13_33 ),
inference(subsumption_resolution,[],[f1099,f503]) ).
fof(f503,plain,
( ~ aElementOf0(sK5(sz00),szNzAzT0)
| spl13_13 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl13_13
<=> aElementOf0(sK5(sz00),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f1099,plain,
( aElementOf0(sK5(sz00),szNzAzT0)
| ~ spl13_32
| ~ spl13_33 ),
inference(superposition,[],[f1006,f988]) ).
fof(f1087,plain,
( spl13_2
| ~ spl13_6
| spl13_34 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| spl13_2
| ~ spl13_6
| spl13_34 ),
inference(subsumption_resolution,[],[f1085,f406]) ).
fof(f406,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f405,plain,
( spl13_6
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f1085,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_2
| spl13_34 ),
inference(subsumption_resolution,[],[f1084,f335]) ).
fof(f335,plain,
( slcrc0 != szNzAzT0
| spl13_2 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl13_2
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f1084,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_34 ),
inference(subsumption_resolution,[],[f1083,f184]) ).
fof(f1083,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_34 ),
inference(resolution,[],[f279,f1011]) ).
fof(f1011,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| spl13_34 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl13_34
<=> sdtlseqdt0(szmzizndt0(szNzAzT0),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f279,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f234]) ).
fof(f234,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK8(X0,X1))
& aElementOf0(sK8(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f157,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK8(X0,X1))
& aElementOf0(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f1049,plain,
( ~ spl13_18
| ~ spl13_32
| spl13_34 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| ~ spl13_18
| ~ spl13_32
| spl13_34 ),
inference(subsumption_resolution,[],[f1046,f587]) ).
fof(f587,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f585,plain,
( spl13_18
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f1046,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl13_32
| spl13_34 ),
inference(superposition,[],[f1011,f988]) ).
fof(f1032,plain,
( spl13_2
| ~ spl13_6
| spl13_32
| spl13_33 ),
inference(avatar_contradiction_clause,[],[f1031]) ).
fof(f1031,plain,
( $false
| spl13_2
| ~ spl13_6
| spl13_32
| spl13_33 ),
inference(subsumption_resolution,[],[f1030,f406]) ).
fof(f1030,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_2
| spl13_32
| spl13_33 ),
inference(subsumption_resolution,[],[f1029,f335]) ).
fof(f1029,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_32
| spl13_33 ),
inference(resolution,[],[f1014,f280]) ).
fof(f280,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1014,plain,
( ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| spl13_32
| spl13_33 ),
inference(subsumption_resolution,[],[f1013,f987]) ).
fof(f987,plain,
( sz00 != szmzizndt0(szNzAzT0)
| spl13_32 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f1013,plain,
( sz00 = szmzizndt0(szNzAzT0)
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| spl13_33 ),
inference(resolution,[],[f1007,f213]) ).
fof(f213,plain,
! [X0] :
( aElementOf0(sK5(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( szszuzczcdt0(sK5(X0)) = X0
& aElementOf0(sK5(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f89,f142]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK5(X0)) = X0
& aElementOf0(sK5(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f1007,plain,
( ~ aElementOf0(sK5(szmzizndt0(szNzAzT0)),szNzAzT0)
| spl13_33 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1012,plain,
( ~ spl13_33
| ~ spl13_34
| ~ spl13_31 ),
inference(avatar_split_clause,[],[f992,f982,f1009,f1005]) ).
fof(f982,plain,
( spl13_31
<=> szmzizndt0(szNzAzT0) = szszuzczcdt0(sK5(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f992,plain,
( ~ sdtlseqdt0(szmzizndt0(szNzAzT0),sz00)
| ~ aElementOf0(sK5(szmzizndt0(szNzAzT0)),szNzAzT0)
| ~ spl13_31 ),
inference(superposition,[],[f209,f984]) ).
fof(f984,plain,
( szmzizndt0(szNzAzT0) = szszuzczcdt0(sK5(szmzizndt0(szNzAzT0)))
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f209,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f989,plain,
( spl13_31
| spl13_32
| spl13_2
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f464,f405,f334,f986,f982]) ).
fof(f464,plain,
( sz00 = szmzizndt0(szNzAzT0)
| szmzizndt0(szNzAzT0) = szszuzczcdt0(sK5(szmzizndt0(szNzAzT0)))
| spl13_2
| ~ spl13_6 ),
inference(subsumption_resolution,[],[f463,f406]) ).
fof(f463,plain,
( sz00 = szmzizndt0(szNzAzT0)
| szmzizndt0(szNzAzT0) = szszuzczcdt0(sK5(szmzizndt0(szNzAzT0)))
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_2 ),
inference(subsumption_resolution,[],[f461,f335]) ).
fof(f461,plain,
( sz00 = szmzizndt0(szNzAzT0)
| szmzizndt0(szNzAzT0) = szszuzczcdt0(sK5(szmzizndt0(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[],[f214,f280]) ).
fof(f214,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK5(X0)) = X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f937,plain,
( ~ spl13_11
| spl13_29 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f936,plain,
( $false
| ~ spl13_11
| spl13_29 ),
inference(subsumption_resolution,[],[f935,f595]) ).
fof(f595,plain,
( aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f479,f489]) ).
fof(f489,plain,
( aElementOf0(sK5(szszuzczcdt0(sz00)),szNzAzT0)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl13_11
<=> aElementOf0(sK5(szszuzczcdt0(sz00)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f479,plain,
( aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(sK5(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f211,f465]) ).
fof(f465,plain,
szszuzczcdt0(sz00) = szszuzczcdt0(sK5(szszuzczcdt0(sz00))),
inference(resolution,[],[f462,f184]) ).
fof(f462,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK5(szszuzczcdt0(X0))) ),
inference(subsumption_resolution,[],[f457,f212]) ).
fof(f212,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f457,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK5(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f214,f211]) ).
fof(f211,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f935,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl13_29 ),
inference(resolution,[],[f929,f211]) ).
fof(f929,plain,
( ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(sz00)),szNzAzT0)
| spl13_29 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f927,plain,
( spl13_29
<=> aElementOf0(szszuzczcdt0(szszuzczcdt0(sz00)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f934,plain,
( ~ spl13_29
| spl13_30
| spl13_25 ),
inference(avatar_split_clause,[],[f900,f889,f931,f927]) ).
fof(f931,plain,
( spl13_30
<=> sz00 = szszuzczcdt0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f889,plain,
( spl13_25
<=> aElementOf0(sK5(szszuzczcdt0(szszuzczcdt0(sz00))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f900,plain,
( sz00 = szszuzczcdt0(szszuzczcdt0(sz00))
| ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(sz00)),szNzAzT0)
| spl13_25 ),
inference(resolution,[],[f891,f213]) ).
fof(f891,plain,
( ~ aElementOf0(sK5(szszuzczcdt0(szszuzczcdt0(sz00))),szNzAzT0)
| spl13_25 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f924,plain,
spl13_27,
inference(avatar_contradiction_clause,[],[f923]) ).
fof(f923,plain,
( $false
| spl13_27 ),
inference(subsumption_resolution,[],[f922,f185]) ).
fof(f922,plain,
( ~ aSet0(szNzAzT0)
| spl13_27 ),
inference(subsumption_resolution,[],[f921,f305]) ).
fof(f305,plain,
aElement0(szszuzczcdt0(sz00)),
inference(resolution,[],[f304,f184]) ).
fof(f304,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(subsumption_resolution,[],[f303,f185]) ).
fof(f303,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f211,f193]) ).
fof(f921,plain,
( ~ aElement0(szszuzczcdt0(sz00))
| ~ aSet0(szNzAzT0)
| spl13_27 ),
inference(resolution,[],[f915,f285]) ).
fof(f285,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP2(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP2(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP2(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f107,f131]) ).
fof(f131,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f107,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f915,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)))
| spl13_27 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f913,plain,
( spl13_27
<=> aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f920,plain,
( ~ spl13_27
| ~ spl13_28
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f784,f488,f917,f913]) ).
fof(f917,plain,
( spl13_28
<=> isFinite0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f784,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)))
| ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)))
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f783,f305]) ).
fof(f783,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)))
| ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00))
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f779,f294]) ).
fof(f294,plain,
~ isFinite0(szNzAzT0),
inference(subsumption_resolution,[],[f293,f185]) ).
fof(f293,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f225,f186]) ).
fof(f186,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f225,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(f779,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)))
| ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)))
| ~ aElement0(szszuzczcdt0(sz00))
| ~ spl13_11 ),
inference(superposition,[],[f204,f739]) ).
fof(f739,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f736,f185]) ).
fof(f736,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aSet0(szNzAzT0)
| ~ spl13_11 ),
inference(resolution,[],[f595,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f204,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(f899,plain,
( ~ spl13_11
| spl13_26 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl13_11
| spl13_26 ),
inference(subsumption_resolution,[],[f897,f595]) ).
fof(f897,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl13_26 ),
inference(resolution,[],[f894,f302]) ).
fof(f302,plain,
! [X0] :
( sP1(szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f211,f224]) ).
fof(f894,plain,
( ~ sP1(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl13_26 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl13_26
<=> sP1(szszuzczcdt0(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f896,plain,
( ~ spl13_25
| spl13_26
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f770,f488,f893,f889]) ).
fof(f770,plain,
( sP1(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ aElementOf0(sK5(szszuzczcdt0(szszuzczcdt0(sz00))),szNzAzT0)
| ~ spl13_11 ),
inference(superposition,[],[f302,f731]) ).
fof(f731,plain,
( szszuzczcdt0(szszuzczcdt0(sz00)) = szszuzczcdt0(sK5(szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ spl13_11 ),
inference(resolution,[],[f595,f462]) ).
fof(f865,plain,
( spl13_2
| ~ spl13_6
| spl13_23 ),
inference(avatar_contradiction_clause,[],[f864]) ).
fof(f864,plain,
( $false
| spl13_2
| ~ spl13_6
| spl13_23 ),
inference(subsumption_resolution,[],[f863,f406]) ).
fof(f863,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_2
| spl13_23 ),
inference(subsumption_resolution,[],[f862,f335]) ).
fof(f862,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_23 ),
inference(resolution,[],[f861,f280]) ).
fof(f861,plain,
( ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| spl13_23 ),
inference(resolution,[],[f855,f211]) ).
fof(f855,plain,
( ~ aElementOf0(szszuzczcdt0(szmzizndt0(szNzAzT0)),szNzAzT0)
| spl13_23 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f853,plain,
( spl13_23
<=> aElementOf0(szszuzczcdt0(szmzizndt0(szNzAzT0)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f860,plain,
( ~ spl13_23
| spl13_24
| spl13_19 ),
inference(avatar_split_clause,[],[f685,f672,f857,f853]) ).
fof(f857,plain,
( spl13_24
<=> sz00 = szszuzczcdt0(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f672,plain,
( spl13_19
<=> aElementOf0(sK5(szszuzczcdt0(szmzizndt0(szNzAzT0))),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f685,plain,
( sz00 = szszuzczcdt0(szmzizndt0(szNzAzT0))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(szNzAzT0)),szNzAzT0)
| spl13_19 ),
inference(resolution,[],[f674,f213]) ).
fof(f674,plain,
( ~ aElementOf0(sK5(szszuzczcdt0(szmzizndt0(szNzAzT0))),szNzAzT0)
| spl13_19 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f721,plain,
( spl13_3
| ~ spl13_4
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| spl13_3
| ~ spl13_4
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f719,f184]) ).
fof(f719,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl13_3
| ~ spl13_4
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f708,f385]) ).
fof(f708,plain,
( aElement0(sK5(sz00))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl13_14 ),
inference(superposition,[],[f373,f506]) ).
fof(f506,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl13_14
<=> sz00 = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f373,plain,
! [X0] :
( aElement0(sK5(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f369,f212]) ).
fof(f369,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| aElement0(sK5(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f367,f211]) ).
fof(f367,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| aElement0(sK5(X0)) ),
inference(subsumption_resolution,[],[f366,f185]) ).
fof(f366,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK5(X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f213,f193]) ).
fof(f718,plain,
~ spl13_14,
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f710,f184]) ).
fof(f710,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl13_14 ),
inference(trivial_inequality_removal,[],[f705]) ).
fof(f705,plain,
( sz00 != sz00
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl13_14 ),
inference(superposition,[],[f212,f506]) ).
fof(f716,plain,
( ~ spl13_14
| ~ spl13_18 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl13_14
| ~ spl13_18 ),
inference(subsumption_resolution,[],[f714,f184]) ).
fof(f714,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl13_14
| ~ spl13_18 ),
inference(subsumption_resolution,[],[f702,f587]) ).
fof(f702,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl13_14 ),
inference(superposition,[],[f209,f506]) ).
fof(f713,plain,
~ spl13_14,
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f711,f184]) ).
fof(f711,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl13_14 ),
inference(trivial_inequality_removal,[],[f701]) ).
fof(f701,plain,
( sz00 != sz00
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl13_14 ),
inference(superposition,[],[f208,f506]) ).
fof(f208,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f694,plain,
( spl13_21
| spl13_22
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f529,f488,f691,f687]) ).
fof(f687,plain,
( spl13_21
<=> aElement0(sK5(sK5(szszuzczcdt0(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f691,plain,
( spl13_22
<=> sz00 = sK5(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f529,plain,
( sz00 = sK5(szszuzczcdt0(sz00))
| aElement0(sK5(sK5(szszuzczcdt0(sz00))))
| ~ spl13_11 ),
inference(resolution,[],[f489,f367]) ).
fof(f684,plain,
( spl13_2
| ~ spl13_6
| spl13_20 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| spl13_2
| ~ spl13_6
| spl13_20 ),
inference(subsumption_resolution,[],[f682,f406]) ).
fof(f682,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_2
| spl13_20 ),
inference(subsumption_resolution,[],[f681,f335]) ).
fof(f681,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_20 ),
inference(resolution,[],[f680,f280]) ).
fof(f680,plain,
( ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| spl13_20 ),
inference(resolution,[],[f677,f302]) ).
fof(f677,plain,
( ~ sP1(szszuzczcdt0(szmzizndt0(szNzAzT0)))
| spl13_20 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl13_20
<=> sP1(szszuzczcdt0(szmzizndt0(szNzAzT0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f679,plain,
( ~ spl13_19
| spl13_20
| spl13_2
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f566,f405,f334,f676,f672]) ).
fof(f566,plain,
( sP1(szszuzczcdt0(szmzizndt0(szNzAzT0)))
| ~ aElementOf0(sK5(szszuzczcdt0(szmzizndt0(szNzAzT0))),szNzAzT0)
| spl13_2
| ~ spl13_6 ),
inference(superposition,[],[f302,f475]) ).
fof(f475,plain,
( szszuzczcdt0(szmzizndt0(szNzAzT0)) = szszuzczcdt0(sK5(szszuzczcdt0(szmzizndt0(szNzAzT0))))
| spl13_2
| ~ spl13_6 ),
inference(subsumption_resolution,[],[f474,f406]) ).
fof(f474,plain,
( szszuzczcdt0(szmzizndt0(szNzAzT0)) = szszuzczcdt0(sK5(szszuzczcdt0(szmzizndt0(szNzAzT0))))
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_2 ),
inference(subsumption_resolution,[],[f470,f335]) ).
fof(f470,plain,
( szszuzczcdt0(szmzizndt0(szNzAzT0)) = szszuzczcdt0(sK5(szszuzczcdt0(szmzizndt0(szNzAzT0))))
| slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[],[f462,f280]) ).
fof(f591,plain,
spl13_17,
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| spl13_17 ),
inference(subsumption_resolution,[],[f589,f282]) ).
fof(f282,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f164]) ).
fof(f589,plain,
( ~ aSet0(slcrc0)
| spl13_17 ),
inference(resolution,[],[f583,f188]) ).
fof(f188,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f583,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| spl13_17 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl13_17
<=> aSubsetOf0(slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f588,plain,
( ~ spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f579,f585,f581]) ).
fof(f579,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[],[f576,f295]) ).
fof(f295,plain,
sz00 = sbrdtbr0(slcrc0),
inference(subsumption_resolution,[],[f274,f282]) ).
fof(f274,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f190]) ).
fof(f190,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f576,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(subsumption_resolution,[],[f575,f282]) ).
fof(f575,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(subsumption_resolution,[],[f574,f183]) ).
fof(f183,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f574,plain,
! [X0] :
( sdtlseqdt0(sbrdtbr0(X0),sz00)
| ~ aSubsetOf0(X0,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f195,f295]) ).
fof(f195,plain,
! [X0,X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0))
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(f559,plain,
spl13_15,
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f558,plain,
( $false
| spl13_15 ),
inference(subsumption_resolution,[],[f557,f185]) ).
fof(f557,plain,
( ~ aSet0(szNzAzT0)
| spl13_15 ),
inference(subsumption_resolution,[],[f556,f297]) ).
fof(f297,plain,
aElement0(sz00),
inference(subsumption_resolution,[],[f296,f282]) ).
fof(f296,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0) ),
inference(superposition,[],[f187,f295]) ).
fof(f187,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(f556,plain,
( ~ aElement0(sz00)
| ~ aSet0(szNzAzT0)
| spl13_15 ),
inference(resolution,[],[f550,f285]) ).
fof(f550,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| spl13_15 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl13_15
<=> aSet0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f555,plain,
( ~ spl13_15
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f546,f552,f548]) ).
fof(f552,plain,
( spl13_16
<=> isFinite0(sdtmndt0(szNzAzT0,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f546,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00)) ),
inference(subsumption_resolution,[],[f545,f297]) ).
fof(f545,plain,
( ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00) ),
inference(subsumption_resolution,[],[f541,f294]) ).
fof(f541,plain,
( isFinite0(szNzAzT0)
| ~ isFinite0(sdtmndt0(szNzAzT0,sz00))
| ~ aSet0(sdtmndt0(szNzAzT0,sz00))
| ~ aElement0(sz00) ),
inference(superposition,[],[f204,f519]) ).
fof(f519,plain,
szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00),
inference(subsumption_resolution,[],[f511,f185]) ).
fof(f511,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f194,f184]) ).
fof(f526,plain,
( spl13_11
| spl13_14 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| spl13_11
| spl13_14 ),
inference(subsumption_resolution,[],[f524,f184]) ).
fof(f524,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl13_11
| spl13_14 ),
inference(resolution,[],[f510,f211]) ).
fof(f510,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl13_11
| spl13_14 ),
inference(subsumption_resolution,[],[f499,f507]) ).
fof(f507,plain,
( sz00 != szszuzczcdt0(sz00)
| spl13_14 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f499,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| spl13_11 ),
inference(resolution,[],[f490,f213]) ).
fof(f490,plain,
( ~ aElementOf0(sK5(szszuzczcdt0(sz00)),szNzAzT0)
| spl13_11 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f508,plain,
( ~ spl13_13
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f486,f505,f501]) ).
fof(f486,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aElementOf0(sK5(sz00),szNzAzT0) ),
inference(inner_rewriting,[],[f480]) ).
fof(f480,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aElementOf0(sK5(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f212,f465]) ).
fof(f498,plain,
spl13_12,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| spl13_12 ),
inference(subsumption_resolution,[],[f496,f184]) ).
fof(f496,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| spl13_12 ),
inference(resolution,[],[f493,f302]) ).
fof(f493,plain,
( ~ sP1(szszuzczcdt0(sz00))
| spl13_12 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl13_12
<=> sP1(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f495,plain,
( ~ spl13_11
| spl13_12 ),
inference(avatar_split_clause,[],[f481,f492,f488]) ).
fof(f481,plain,
( sP1(szszuzczcdt0(sz00))
| ~ aElementOf0(sK5(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(superposition,[],[f302,f465]) ).
fof(f455,plain,
( ~ spl13_9
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f434,f452,f448]) ).
fof(f448,plain,
( spl13_9
<=> aSubsetOf0(slbdtrb0(sz00),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f452,plain,
( spl13_10
<=> aElementOf0(szmzizndt0(slbdtrb0(sz00)),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f434,plain,
( ~ aElementOf0(szmzizndt0(slbdtrb0(sz00)),szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(sz00),szNzAzT0) ),
inference(subsumption_resolution,[],[f432,f182]) ).
fof(f432,plain,
( ~ aElementOf0(szmzizndt0(slbdtrb0(sz00)),szNzAzT0)
| slcrc0 = slbdtrb0(sz00)
| ~ aSubsetOf0(slbdtrb0(sz00),szNzAzT0) ),
inference(resolution,[],[f430,f280]) ).
fof(f430,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtrb0(sz00))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f429,f292]) ).
fof(f429,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtrb0(sz00))
| ~ sP1(sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f390,f209]) ).
fof(f390,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ sP1(X1) ),
inference(resolution,[],[f219,f275]) ).
fof(f219,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f446,plain,
spl13_7,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| spl13_7 ),
inference(subsumption_resolution,[],[f444,f292]) ).
fof(f444,plain,
( ~ sP1(sz00)
| spl13_7 ),
inference(resolution,[],[f438,f298]) ).
fof(f438,plain,
( ~ aSet0(slbdtrb0(sz00))
| spl13_7 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl13_7
<=> aSet0(slbdtrb0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f443,plain,
( ~ spl13_7
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f433,f440,f436]) ).
fof(f433,plain,
( ~ aElementOf0(sK9(slbdtrb0(sz00)),szNzAzT0)
| ~ aSet0(slbdtrb0(sz00)) ),
inference(subsumption_resolution,[],[f431,f182]) ).
fof(f431,plain,
( ~ aElementOf0(sK9(slbdtrb0(sz00)),szNzAzT0)
| slcrc0 = slbdtrb0(sz00)
| ~ aSet0(slbdtrb0(sz00)) ),
inference(resolution,[],[f430,f239]) ).
fof(f411,plain,
spl13_6,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| spl13_6 ),
inference(subsumption_resolution,[],[f409,f185]) ).
fof(f409,plain,
( ~ aSet0(szNzAzT0)
| spl13_6 ),
inference(resolution,[],[f407,f188]) ).
fof(f407,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl13_6 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f408,plain,
( spl13_5
| ~ spl13_6
| spl13_2 ),
inference(avatar_split_clause,[],[f399,f334,f405,f401]) ).
fof(f401,plain,
( spl13_5
<=> sP1(szmzizndt0(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f399,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP1(szmzizndt0(szNzAzT0))
| spl13_2 ),
inference(subsumption_resolution,[],[f395,f335]) ).
fof(f395,plain,
( slcrc0 = szNzAzT0
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| sP1(szmzizndt0(szNzAzT0)) ),
inference(resolution,[],[f280,f224]) ).
fof(f384,plain,
( spl13_3
| spl13_4
| spl13_2 ),
inference(avatar_split_clause,[],[f375,f334,f381,f377]) ).
fof(f375,plain,
( sz00 = sK9(szNzAzT0)
| aElement0(sK5(sK9(szNzAzT0)))
| spl13_2 ),
inference(subsumption_resolution,[],[f374,f185]) ).
fof(f374,plain,
( sz00 = sK9(szNzAzT0)
| aElement0(sK5(sK9(szNzAzT0)))
| ~ aSet0(szNzAzT0)
| spl13_2 ),
inference(subsumption_resolution,[],[f372,f335]) ).
fof(f372,plain,
( sz00 = sK9(szNzAzT0)
| aElement0(sK5(sK9(szNzAzT0)))
| slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f367,f239]) ).
fof(f356,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f345,f183]) ).
fof(f345,plain,
( ~ isFinite0(slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f294,f336]) ).
fof(f336,plain,
( slcrc0 = szNzAzT0
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f351,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f340,f291]) ).
fof(f291,plain,
~ isCountable0(slcrc0),
inference(subsumption_resolution,[],[f276,f282]) ).
fof(f276,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f340,plain,
( isCountable0(slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f186,f336]) ).
fof(f349,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f338,f281]) ).
fof(f281,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f164]) ).
fof(f338,plain,
( aElementOf0(sz00,slcrc0)
| ~ spl13_2 ),
inference(superposition,[],[f184,f336]) ).
fof(f337,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f328,f334,f330]) ).
fof(f330,plain,
( spl13_1
<=> sP1(sK9(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f328,plain,
( slcrc0 = szNzAzT0
| sP1(sK9(szNzAzT0)) ),
inference(subsumption_resolution,[],[f324,f185]) ).
fof(f324,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sP1(sK9(szNzAzT0)) ),
inference(resolution,[],[f239,f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : NUM540+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 14:23:07 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (30710)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (30713)WARNING: value z3 for option sas not known
% 0.16/0.33 % (30714)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (30712)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (30717)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (30716)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (30711)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (30713)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (30715)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.35 TRYING [4]
% 0.16/0.36 TRYING [4]
% 0.16/0.36 % (30713)First to succeed.
% 0.16/0.36 % (30717)Also succeeded, but the first one will report.
% 0.16/0.37 % (30713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30710"
% 0.16/0.37 % (30713)Refutation found. Thanks to Tanya!
% 0.16/0.37 % SZS status Theorem for theBenchmark
% 0.16/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.37 % (30713)------------------------------
% 0.16/0.37 % (30713)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.37 % (30713)Termination reason: Refutation
% 0.16/0.37
% 0.16/0.37 % (30713)Memory used [KB]: 1335
% 0.16/0.37 % (30713)Time elapsed: 0.035 s
% 0.16/0.37 % (30713)Instructions burned: 59 (million)
% 0.16/0.37 % (30710)Success in time 0.048 s
%------------------------------------------------------------------------------