TSTP Solution File: NUM545+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM545+1 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:00:29 EDT 2022
% Result : Theorem 1.82s 0.61s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 92 ( 12 unt; 0 def)
% Number of atoms : 364 ( 42 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 439 ( 167 ~; 169 |; 73 &)
% ( 19 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 84 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f961,plain,
$false,
inference(avatar_sat_refutation,[],[f334,f362,f384,f541,f542,f569,f784,f799,f832,f844,f955]) ).
fof(f955,plain,
( ~ spl9_1
| ~ spl9_52 ),
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f944,plain,
( $false
| ~ spl9_1
| ~ spl9_52 ),
inference(resolution,[],[f831,f406]) ).
fof(f406,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl9_1 ),
inference(resolution,[],[f216,f393]) ).
fof(f393,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ spl9_1 ),
inference(resolution,[],[f329,f276]) ).
fof(f276,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(negated_conjecture,[],[f57]) ).
fof(f57,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f329,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f327,plain,
( spl9_1
<=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f216,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,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(f831,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl9_52 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl9_52
<=> aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_52])]) ).
fof(f844,plain,
spl9_17,
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| spl9_17 ),
inference(resolution,[],[f467,f260]) ).
fof(f260,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f467,plain,
( ~ isFinite0(xS)
| spl9_17 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl9_17
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f832,plain,
( spl9_52
| spl9_2
| ~ spl9_45
| ~ spl9_17
| ~ spl9_34 ),
inference(avatar_split_clause,[],[f812,f670,f466,f770,f331,f829]) ).
fof(f331,plain,
( spl9_2
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f770,plain,
( spl9_45
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_45])]) ).
fof(f670,plain,
( spl9_34
<=> ! [X5] :
( ~ aElementOf0(X5,xS)
| aElementOf0(X5,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_34])]) ).
fof(f812,plain,
( ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| slcrc0 = xS
| aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl9_34 ),
inference(resolution,[],[f317,f671]) ).
fof(f671,plain,
( ! [X5] :
( ~ aElementOf0(X5,xS)
| aElementOf0(X5,szNzAzT0) )
| ~ spl9_34 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f317,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0) ),
inference(equality_resolution,[],[f262]) ).
fof(f262,plain,
! [X0,X1] :
( slcrc0 = X0
| aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( slcrc0 = X0
| ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( aElementOf0(sK5(X0,X1),X0)
& ~ sdtlseqdt0(sK5(X0,X1),X1) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,X1) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f183,f184]) ).
fof(f184,plain,
! [X0,X1] :
( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
=> ( aElementOf0(sK5(X0,X1),X0)
& ~ sdtlseqdt0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0] :
( slcrc0 = X0
| ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,X1) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f182]) ).
fof(f182,plain,
! [X0] :
( slcrc0 = X0
| ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0] :
( slcrc0 = X0
| ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( slcrc0 = X0
| ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& isFinite0(X0)
& slcrc0 != X0 )
=> ! [X1] :
( ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) ) )
<=> szmzazxdt0(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f799,plain,
( spl9_34
| ~ spl9_8
| ~ spl9_45 ),
inference(avatar_split_clause,[],[f794,f770,f368,f670]) ).
fof(f368,plain,
( spl9_8
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f794,plain,
( ! [X0] :
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
| ~ spl9_45 ),
inference(resolution,[],[f771,f233]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) ) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f161,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
=> ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) ) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
<=> aSubsetOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f771,plain,
( aSubsetOf0(xS,szNzAzT0)
| ~ spl9_45 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f784,plain,
spl9_45,
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| spl9_45 ),
inference(resolution,[],[f772,f261]) ).
fof(f261,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f772,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| spl9_45 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f569,plain,
( spl9_4
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f568,f355,f340]) ).
fof(f340,plain,
( spl9_4
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f355,plain,
( spl9_6
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f568,plain,
( aSet0(slcrc0)
| ~ spl9_6 ),
inference(forward_demodulation,[],[f566,f268]) ).
fof(f268,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f566,plain,
( aSet0(slbdtrb0(sz00))
| ~ spl9_6 ),
inference(resolution,[],[f323,f356]) ).
fof(f356,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f323,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f279]) ).
fof(f279,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK7(X0,X1)),X0)
| ~ aElementOf0(sK7(X0,X1),szNzAzT0)
| ~ aElementOf0(sK7(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK7(X0,X1)),X0)
& aElementOf0(sK7(X0,X1),szNzAzT0) )
| aElementOf0(sK7(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) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f196,f197]) ).
fof(f197,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(sK7(X0,X1)),X0)
| ~ aElementOf0(sK7(X0,X1),szNzAzT0)
| ~ aElementOf0(sK7(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK7(X0,X1)),X0)
& aElementOf0(sK7(X0,X1),szNzAzT0) )
| aElementOf0(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(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) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(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) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(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) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,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(f542,plain,
spl9_8,
inference(avatar_split_clause,[],[f293,f368]) ).
fof(f293,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f541,plain,
spl9_6,
inference(avatar_split_clause,[],[f244,f355]) ).
fof(f244,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f384,plain,
( ~ spl9_4
| spl9_7 ),
inference(avatar_split_clause,[],[f383,f359,f340]) ).
fof(f359,plain,
( spl9_7
<=> aSubsetOf0(slcrc0,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f383,plain,
( ~ aSet0(slcrc0)
| spl9_7 ),
inference(resolution,[],[f361,f208]) ).
fof(f208,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,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(f361,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| spl9_7 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f353,f331,f359,f355]) ).
fof(f353,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl9_2 ),
inference(superposition,[],[f352,f268]) ).
fof(f352,plain,
( ! [X0] :
( ~ aSubsetOf0(slcrc0,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl9_2 ),
inference(backward_demodulation,[],[f276,f333]) ).
fof(f333,plain,
( slcrc0 = xS
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f245,f331,f327]) ).
fof(f245,plain,
( slcrc0 = xS
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
( slcrc0 != xS
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2035) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM545+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 07:00:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.55 % (11501)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)
% 0.19/0.56 % (11499)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)
% 0.19/0.56 % (11507)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)
% 0.19/0.56 % (11509)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)
% 0.19/0.57 % (11507)Instruction limit reached!
% 0.19/0.57 % (11507)------------------------------
% 0.19/0.57 % (11507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (11515)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)
% 0.19/0.57 % (11507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (11507)Termination reason: Unknown
% 0.19/0.57 % (11507)Termination phase: Property scanning
% 0.19/0.57
% 0.19/0.57 % (11507)Memory used [KB]: 1535
% 0.19/0.57 % (11507)Time elapsed: 0.004 s
% 0.19/0.57 % (11507)Instructions burned: 4 (million)
% 0.19/0.57 % (11507)------------------------------
% 0.19/0.57 % (11507)------------------------------
% 0.19/0.57 % (11493)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.57 % (11504)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)
% 0.19/0.57 % (11498)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)
% 0.19/0.57 % (11495)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)
% 0.19/0.57 % (11496)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)
% 0.19/0.57 % (11495)Instruction limit reached!
% 0.19/0.57 % (11495)------------------------------
% 0.19/0.57 % (11495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (11495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (11495)Termination reason: Unknown
% 0.19/0.57 % (11495)Termination phase: Preprocessing 3
% 0.19/0.57
% 0.19/0.57 % (11495)Memory used [KB]: 1535
% 0.19/0.57 % (11495)Time elapsed: 0.002 s
% 0.19/0.57 % (11495)Instructions burned: 3 (million)
% 0.19/0.57 % (11495)------------------------------
% 0.19/0.57 % (11495)------------------------------
% 0.19/0.57 % (11517)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)
% 0.19/0.57 % (11496)Refutation not found, incomplete strategy% (11496)------------------------------
% 0.19/0.57 % (11496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (11496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (11496)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (11496)Memory used [KB]: 6012
% 0.19/0.57 % (11496)Time elapsed: 0.151 s
% 0.19/0.57 % (11496)Instructions burned: 4 (million)
% 0.19/0.57 % (11496)------------------------------
% 0.19/0.57 % (11496)------------------------------
% 0.19/0.57 % (11510)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57 % (11518)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)
% 0.19/0.57 % (11510)Instruction limit reached!
% 0.19/0.57 % (11510)------------------------------
% 0.19/0.57 % (11510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (11505)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)
% 0.19/0.57 % (11494)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)
% 0.19/0.57 % (11522)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)
% 0.19/0.58 % (11511)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)
% 0.19/0.58 % (11511)Instruction limit reached!
% 0.19/0.58 % (11511)------------------------------
% 0.19/0.58 % (11511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (11511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (11511)Termination reason: Unknown
% 0.19/0.58 % (11511)Termination phase: Property scanning
% 0.19/0.58
% 0.19/0.58 % (11511)Memory used [KB]: 1407
% 0.19/0.58 % (11511)Time elapsed: 0.002 s
% 0.19/0.58 % (11511)Instructions burned: 3 (million)
% 0.19/0.58 % (11511)------------------------------
% 0.19/0.58 % (11511)------------------------------
% 0.19/0.58 % (11506)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)
% 0.19/0.58 % (11508)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)
% 0.19/0.58 % (11502)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)
% 0.19/0.58 % (11519)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)
% 0.19/0.58 % (11500)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)
% 0.19/0.58 % (11497)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)
% 0.19/0.58 % (11515)First to succeed.
% 0.19/0.58 % (11520)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)
% 0.19/0.59 % (11514)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)
% 0.19/0.59 % (11502)Also succeeded, but the first one will report.
% 0.19/0.59 % (11510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11510)Termination reason: Unknown
% 0.19/0.59 % (11510)Termination phase: Preprocessing 3
% 0.19/0.59
% 0.19/0.59 % (11510)Memory used [KB]: 1535
% 0.19/0.59 % (11510)Time elapsed: 0.005 s
% 0.19/0.59 % (11510)Instructions burned: 3 (million)
% 0.19/0.59 % (11510)------------------------------
% 0.19/0.59 % (11510)------------------------------
% 0.19/0.59 % (11516)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)
% 0.19/0.59 % (11508)Instruction limit reached!
% 0.19/0.59 % (11508)------------------------------
% 0.19/0.59 % (11508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11508)Termination reason: Unknown
% 0.19/0.59 % (11508)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (11508)Memory used [KB]: 6140
% 0.19/0.59 % (11508)Time elapsed: 0.006 s
% 0.19/0.59 % (11508)Instructions burned: 8 (million)
% 0.19/0.59 % (11508)------------------------------
% 0.19/0.59 % (11508)------------------------------
% 0.19/0.59 % (11521)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)
% 0.19/0.59 % (11521)Instruction limit reached!
% 0.19/0.59 % (11521)------------------------------
% 0.19/0.59 % (11521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11521)Termination reason: Unknown
% 0.19/0.59 % (11521)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (11521)Memory used [KB]: 6140
% 0.19/0.59 % (11521)Time elapsed: 0.174 s
% 0.19/0.59 % (11521)Instructions burned: 8 (million)
% 0.19/0.59 % (11521)------------------------------
% 0.19/0.59 % (11521)------------------------------
% 1.82/0.60 % (11504)Instruction limit reached!
% 1.82/0.60 % (11504)------------------------------
% 1.82/0.60 % (11504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (11504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (11504)Termination reason: Unknown
% 1.82/0.60 % (11504)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (11504)Memory used [KB]: 6140
% 1.82/0.60 % (11504)Time elapsed: 0.006 s
% 1.82/0.60 % (11504)Instructions burned: 8 (million)
% 1.82/0.60 % (11504)------------------------------
% 1.82/0.60 % (11504)------------------------------
% 1.82/0.60 % (11505)Instruction limit reached!
% 1.82/0.60 % (11505)------------------------------
% 1.82/0.60 % (11505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (11505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (11505)Termination reason: Unknown
% 1.82/0.60 % (11505)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (11505)Memory used [KB]: 1791
% 1.82/0.60 % (11505)Time elapsed: 0.190 s
% 1.82/0.60 % (11505)Instructions burned: 16 (million)
% 1.82/0.60 % (11505)------------------------------
% 1.82/0.60 % (11505)------------------------------
% 1.82/0.60 % (11503)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)
% 1.82/0.60 % (11512)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)
% 1.82/0.60 % (11513)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)
% 1.82/0.60 % (11497)Instruction limit reached!
% 1.82/0.60 % (11497)------------------------------
% 1.82/0.60 % (11497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (11497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (11497)Termination reason: Unknown
% 1.82/0.60 % (11497)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (11497)Memory used [KB]: 6268
% 1.82/0.60 % (11497)Time elapsed: 0.176 s
% 1.82/0.60 % (11497)Instructions burned: 13 (million)
% 1.82/0.60 % (11497)------------------------------
% 1.82/0.60 % (11497)------------------------------
% 1.82/0.60 % (11503)Instruction limit reached!
% 1.82/0.60 % (11503)------------------------------
% 1.82/0.60 % (11503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (11503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (11503)Termination reason: Unknown
% 1.82/0.60 % (11503)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (11503)Memory used [KB]: 6268
% 1.82/0.60 % (11503)Time elapsed: 0.185 s
% 1.82/0.60 % (11503)Instructions burned: 13 (million)
% 1.82/0.60 % (11503)------------------------------
% 1.82/0.60 % (11503)------------------------------
% 1.82/0.61 % (11501)Also succeeded, but the first one will report.
% 1.82/0.61 % (11515)Refutation found. Thanks to Tanya!
% 1.82/0.61 % SZS status Theorem for theBenchmark
% 1.82/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.61 % (11515)------------------------------
% 1.82/0.61 % (11515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (11515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61 % (11515)Termination reason: Refutation
% 1.82/0.61
% 1.82/0.61 % (11515)Memory used [KB]: 6396
% 1.82/0.61 % (11515)Time elapsed: 0.154 s
% 1.82/0.61 % (11515)Instructions burned: 15 (million)
% 1.82/0.61 % (11515)------------------------------
% 1.82/0.61 % (11515)------------------------------
% 1.82/0.61 % (11492)Success in time 0.241 s
%------------------------------------------------------------------------------