TSTP Solution File: NUM537+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM537+2 : 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 : n011.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 18:00:26 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 81 ( 7 unt; 0 def)
% Number of atoms : 500 ( 69 equ)
% Maximal formula atoms : 42 ( 6 avg)
% Number of connectives : 617 ( 198 ~; 193 |; 170 &)
% ( 34 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 67 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f663,plain,
$false,
inference(avatar_sat_refutation,[],[f444,f482,f488,f495,f497,f513,f542,f543,f556,f602,f616,f629,f643,f651,f653,f661]) ).
fof(f661,plain,
( ~ spl6_8
| ~ spl6_18 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl6_8
| ~ spl6_18 ),
inference(resolution,[],[f654,f269]) ).
fof(f269,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).
fof(f654,plain,
( aElementOf0(xx,xS)
| ~ spl6_8
| ~ spl6_18 ),
inference(backward_demodulation,[],[f381,f593]) ).
fof(f593,plain,
( xx = sK1
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl6_18
<=> xx = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f381,plain,
( aElementOf0(sK1,xS)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl6_8
<=> aElementOf0(sK1,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f653,plain,
( ~ spl6_21
| spl6_19
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f652,f379,f595,f609]) ).
fof(f609,plain,
( spl6_21
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f595,plain,
( spl6_19
<=> aElement0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f652,plain,
( aElement0(sK1)
| ~ aSet0(xS)
| ~ spl6_8 ),
inference(resolution,[],[f381,f273]) ).
fof(f273,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
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(f651,plain,
( spl6_15
| ~ spl6_14
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f647,f640,f409,f415]) ).
fof(f415,plain,
( spl6_15
<=> aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f409,plain,
( spl6_14
<=> aElementOf0(sK0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f640,plain,
( spl6_23
<=> xx = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f647,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl6_14
| ~ spl6_23 ),
inference(backward_demodulation,[],[f411,f642]) ).
fof(f642,plain,
( xx = sK0
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f411,plain,
( aElementOf0(sK0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f643,plain,
( spl6_5
| spl6_23
| ~ spl6_1
| ~ spl6_13
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f635,f409,f404,f350,f640,f365]) ).
fof(f365,plain,
( spl6_5
<=> aElementOf0(sK0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f350,plain,
( spl6_1
<=> ! [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X4,sdtpldt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f404,plain,
( spl6_13
<=> ! [X3] :
( ~ aElementOf0(X3,sdtpldt0(xS,xx))
| xx = X3
| aElementOf0(X3,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f635,plain,
( xx = sK0
| aElementOf0(sK0,xS)
| ~ spl6_1
| ~ spl6_13
| ~ spl6_14 ),
inference(resolution,[],[f630,f405]) ).
fof(f405,plain,
( ! [X3] :
( ~ aElementOf0(X3,sdtpldt0(xS,xx))
| xx = X3
| aElementOf0(X3,xS) )
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f630,plain,
( aElementOf0(sK0,sdtpldt0(xS,xx))
| ~ spl6_1
| ~ spl6_14 ),
inference(resolution,[],[f411,f351]) ).
fof(f351,plain,
( ! [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X4,sdtpldt0(xS,xx)) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f629,plain,
( ~ spl6_8
| ~ spl6_19
| ~ spl6_2
| spl6_20 ),
inference(avatar_split_clause,[],[f628,f599,f353,f595,f379]) ).
fof(f353,plain,
( spl6_2
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f599,plain,
( spl6_20
<=> aElementOf0(sK1,sdtpldt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f628,plain,
( ~ aElement0(sK1)
| ~ aElementOf0(sK1,xS)
| ~ spl6_2
| spl6_20 ),
inference(resolution,[],[f601,f354]) ).
fof(f354,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f601,plain,
( ~ aElementOf0(sK1,sdtpldt0(xS,xx))
| spl6_20 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f616,plain,
spl6_21,
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| spl6_21 ),
inference(resolution,[],[f611,f76]) ).
fof(f76,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).
fof(f611,plain,
( ~ aSet0(xS)
| spl6_21 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f602,plain,
( spl6_18
| ~ spl6_19
| ~ spl6_20
| ~ spl6_3
| spl6_6 ),
inference(avatar_split_clause,[],[f589,f370,f357,f599,f595,f591]) ).
fof(f357,plain,
( spl6_3
<=> ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X4
| ~ aElement0(X4)
| ~ aElementOf0(X4,sdtpldt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f370,plain,
( spl6_6
<=> aElementOf0(sK1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f589,plain,
( ~ aElementOf0(sK1,sdtpldt0(xS,xx))
| ~ aElement0(sK1)
| xx = sK1
| ~ spl6_3
| spl6_6 ),
inference(resolution,[],[f358,f372]) ).
fof(f372,plain,
( ~ aElementOf0(sK1,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl6_6 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f358,plain,
( ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElement0(X4)
| xx = X4 )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f556,plain,
( spl6_2
| spl6_2 ),
inference(avatar_split_clause,[],[f223,f353,f353]) ).
fof(f223,plain,
! [X3,X0] :
( aElementOf0(X3,sdtpldt0(xS,xx))
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ~ aElementOf0(X3,xS)
| ~ aElement0(X3)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( ! [X0] :
( ( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
& ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ( ~ aElementOf0(X0,xS)
& xx != X0 ) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sK0,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(sK0,xS)
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ! [X2] :
( ( ( aElementOf0(X2,sdtpldt0(xS,xx))
& xx != X2
& aElement0(X2) )
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| xx = X2
| ~ aElement0(X2) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( ~ aElementOf0(X3,xS)
& xx != X3 )
| ~ aElement0(X3) )
& ( ( ( aElementOf0(X3,xS)
| xx = X3 )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| xx = X4
| ~ aElement0(X4) )
& ( ( aElementOf0(X4,sdtpldt0(xS,xx))
& xx != X4
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ~ aElementOf0(sK1,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sK1,xS)
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aSet0(sdtpldt0(xS,xx))
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f50,f52,f51]) ).
fof(f51,plain,
( ? [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X1,xS) )
=> ( aElementOf0(sK0,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(sK0,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
=> ( ~ aElementOf0(sK1,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sK1,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ( ! [X0] :
( ( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
& ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ( ~ aElementOf0(X0,xS)
& xx != X0 ) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X1,xS) )
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ! [X2] :
( ( ( aElementOf0(X2,sdtpldt0(xS,xx))
& xx != X2
& aElement0(X2) )
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| xx = X2
| ~ aElement0(X2) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( ~ aElementOf0(X3,xS)
& xx != X3 )
| ~ aElement0(X3) )
& ( ( ( aElementOf0(X3,xS)
| xx = X3 )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| xx = X4
| ~ aElement0(X4) )
& ( ( aElementOf0(X4,sdtpldt0(xS,xx))
& xx != X4
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aSet0(sdtpldt0(xS,xx))
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
( ( ! [X0] :
( ( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
& ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ( ~ aElementOf0(X0,xS)
& xx != X0 ) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X2] :
( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ! [X1] :
( ( ( aElementOf0(X1,sdtpldt0(xS,xx))
& xx != X1
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| xx = X1
| ~ aElement0(X1) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( ~ aElementOf0(X3,xS)
& xx != X3 )
| ~ aElement0(X3) )
& ( ( ( aElementOf0(X3,xS)
| xx = X3 )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| xx = X4
| ~ aElement0(X4) )
& ( ( aElementOf0(X4,sdtpldt0(xS,xx))
& xx != X4
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aSet0(sdtpldt0(xS,xx))
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
( ( ! [X0] :
( ( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
& ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ( ~ aElementOf0(X0,xS)
& xx != X0 ) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X2] :
( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ! [X1] :
( ( ( aElementOf0(X1,sdtpldt0(xS,xx))
& xx != X1
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| xx = X1
| ~ aElement0(X1) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( ~ aElementOf0(X3,xS)
& xx != X3 )
| ~ aElement0(X3) )
& ( ( ( aElementOf0(X3,xS)
| xx = X3 )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| xx = X4
| ~ aElement0(X4) )
& ( ( aElementOf0(X4,sdtpldt0(xS,xx))
& xx != X4
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aSet0(sdtpldt0(xS,xx))
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( ! [X0] :
( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
<=> aElementOf0(X0,sdtpldt0(xS,xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X2] :
( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xS,xx))
& xx != X1
& aElement0(X1) )
<=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( aElementOf0(X3,xS)
| xx = X3 )
& aElement0(X3) ) )
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElementOf0(X4,sdtpldt0(xS,xx))
& xx != X4
& aElement0(X4) ) )
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aSet0(sdtpldt0(xS,xx))
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
( ( ? [X2] :
( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xS,xx))
& xx != X1
& aElement0(X1) )
<=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
<=> aElementOf0(X0,sdtpldt0(xS,xx)) ) )
| ( ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElementOf0(X4,sdtpldt0(xS,xx))
& xx != X4
& aElement0(X4) ) )
& aSet0(sdtpldt0(xS,xx))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( aElementOf0(X3,xS)
| xx = X3 )
& aElement0(X3) ) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
<=> aElementOf0(X0,sdtpldt0(xS,xx)) ) )
=> ( ( ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xS,xx))
& xx != X1
& aElement0(X1) )
<=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X2,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) )
& ( ( aSet0(sdtpldt0(xS,xx))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( aElementOf0(X3,xS)
| xx = X3 )
& aElement0(X3) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElementOf0(X4,sdtpldt0(xS,xx))
& xx != X4
& aElement0(X4) ) ) )
=> ( ! [X5] :
( aElementOf0(X5,xS)
=> aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
<=> aElementOf0(X0,sdtpldt0(xS,xx)) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X0)
& aElementOf0(X0,sdtpldt0(xS,xx))
& xx != X0 ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X0,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( ( aElement0(X0)
& xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx)) )
<=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) )
<=> aElementOf0(X0,sdtpldt0(xS,xx)) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X0)
& aElementOf0(X0,sdtpldt0(xS,xx))
& xx != X0 ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X0,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( aElement0(X0)
& ( aElementOf0(X0,xS)
| xx = X0 ) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( ( aElement0(X0)
& xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx)) )
<=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f543,plain,
( ~ spl6_6
| spl6_14 ),
inference(avatar_split_clause,[],[f176,f409,f370]) ).
fof(f176,plain,
( aElementOf0(sK0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f542,plain,
( spl6_3
| spl6_3 ),
inference(avatar_split_clause,[],[f102,f357,f357]) ).
fof(f102,plain,
! [X2,X4] :
( ~ aElement0(X2)
| aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElement0(X4)
| xx = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X4 ),
inference(cnf_transformation,[],[f53]) ).
fof(f513,plain,
( spl6_8
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f162,f365,f379]) ).
fof(f162,plain,
( ~ aElementOf0(sK0,xS)
| aElementOf0(sK1,xS) ),
inference(cnf_transformation,[],[f53]) ).
fof(f497,plain,
( spl6_13
| spl6_13 ),
inference(avatar_split_clause,[],[f234,f404,f404]) ).
fof(f234,plain,
! [X3,X0] :
( xx = X3
| aElementOf0(X0,xS)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| aElementOf0(X3,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f495,plain,
( spl6_14
| spl6_8 ),
inference(avatar_split_clause,[],[f175,f379,f409]) ).
fof(f175,plain,
( aElementOf0(sK1,xS)
| aElementOf0(sK0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f488,plain,
~ spl6_15,
inference(avatar_split_clause,[],[f345,f415]) ).
fof(f345,plain,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f317,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(equality_resolution,[],[f316]) ).
fof(f316,plain,
! [X4] :
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx != X4
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X2,X4] :
( xx != X2
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx != X4
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f482,plain,
( spl6_1
| spl6_1 ),
inference(avatar_split_clause,[],[f140,f350,f350]) ).
fof(f140,plain,
! [X2,X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X4,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f444,plain,
( ~ spl6_6
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f163,f365,f370]) ).
fof(f163,plain,
( ~ aElementOf0(sK0,xS)
| ~ aElementOf0(sK1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM537+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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 : n011.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 06:51:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.43 % (15282)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)
% 0.19/0.44 % (15282)Instruction limit reached!
% 0.19/0.44 % (15282)------------------------------
% 0.19/0.44 % (15282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44 % (15273)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)
% 0.19/0.44 % (15282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44 % (15282)Termination reason: Unknown
% 0.19/0.44 % (15282)Termination phase: Property scanning
% 0.19/0.44
% 0.19/0.44 % (15282)Memory used [KB]: 1535
% 0.19/0.44 % (15282)Time elapsed: 0.003 s
% 0.19/0.44 % (15282)Instructions burned: 3 (million)
% 0.19/0.44 % (15282)------------------------------
% 0.19/0.44 % (15282)------------------------------
% 0.19/0.44 % (15276)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)
% 0.19/0.45 % (15291)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)
% 0.19/0.45 % (15280)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)
% 0.19/0.45 % (15278)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)
% 0.19/0.45 % (15277)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)
% 0.19/0.45 % (15283)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)
% 0.19/0.45 % (15290)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)
% 0.19/0.45 % (15273)Refutation not found, incomplete strategy% (15273)------------------------------
% 0.19/0.45 % (15273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (15273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (15273)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.45
% 0.19/0.45 % (15273)Memory used [KB]: 1663
% 0.19/0.45 % (15273)Time elapsed: 0.065 s
% 0.19/0.45 % (15273)Instructions burned: 14 (million)
% 0.19/0.45 % (15273)------------------------------
% 0.19/0.45 % (15273)------------------------------
% 0.19/0.46 % (15270)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)
% 0.19/0.46 % (15270)Instruction limit reached!
% 0.19/0.46 % (15270)------------------------------
% 0.19/0.46 % (15270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (15270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (15270)Termination reason: Unknown
% 0.19/0.46 % (15270)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (15270)Memory used [KB]: 6012
% 0.19/0.46 % (15270)Time elapsed: 0.003 s
% 0.19/0.46 % (15270)Instructions burned: 4 (million)
% 0.19/0.46 % (15270)------------------------------
% 0.19/0.46 % (15270)------------------------------
% 0.19/0.46 % (15278)Instruction limit reached!
% 0.19/0.46 % (15278)------------------------------
% 0.19/0.46 % (15278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (15278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (15278)Termination reason: Unknown
% 0.19/0.46 % (15278)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (15278)Memory used [KB]: 6268
% 0.19/0.46 % (15278)Time elapsed: 0.080 s
% 0.19/0.46 % (15278)Instructions burned: 14 (million)
% 0.19/0.46 % (15278)------------------------------
% 0.19/0.46 % (15278)------------------------------
% 0.19/0.47 % (15280)Refutation not found, incomplete strategy% (15280)------------------------------
% 0.19/0.47 % (15280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (15280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (15280)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47 % (15280)Memory used [KB]: 1663
% 0.19/0.47 % (15280)Time elapsed: 0.078 s
% 0.19/0.47 % (15280)Instructions burned: 5 (million)
% 0.19/0.47 % (15280)------------------------------
% 0.19/0.47 % (15280)------------------------------
% 0.19/0.47 % (15268)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.47 % (15269)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)
% 0.19/0.47 % (15284)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)
% 0.19/0.47 % (15290)First to succeed.
% 0.19/0.47 % (15287)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)
% 0.19/0.47 % (15290)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (15290)------------------------------
% 0.19/0.47 % (15290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (15290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (15290)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (15290)Memory used [KB]: 6396
% 0.19/0.47 % (15290)Time elapsed: 0.078 s
% 0.19/0.47 % (15290)Instructions burned: 13 (million)
% 0.19/0.47 % (15290)------------------------------
% 0.19/0.47 % (15290)------------------------------
% 0.19/0.47 % (15267)Success in time 0.118 s
%------------------------------------------------------------------------------