TSTP Solution File: NUM535+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM535+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 : n028.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 18:00:25 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 7 unt; 0 def)
% Number of atoms : 441 ( 51 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 524 ( 166 ~; 153 |; 154 &)
% ( 29 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 52 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f469,plain,
$false,
inference(avatar_sat_refutation,[],[f190,f196,f207,f212,f391,f467]) ).
fof(f467,plain,
( ~ spl15_1
| ~ spl15_3
| spl15_5
| ~ spl15_6 ),
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f466,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| spl15_5
| ~ spl15_6 ),
inference(subsumption_resolution,[],[f447,f104]) ).
fof(f104,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617_02) ).
fof(f447,plain,
( ~ aElementOf0(xx,xS)
| ~ spl15_1
| ~ spl15_3
| spl15_5
| ~ spl15_6 ),
inference(backward_demodulation,[],[f206,f439]) ).
fof(f439,plain,
( xx = sK12
| ~ spl15_1
| ~ spl15_3
| spl15_5
| ~ spl15_6 ),
inference(unit_resulting_resolution,[],[f185,f195,f400,f132]) ).
fof(f132,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,sdtmndt0(xS,xx))
| ~ sP5
| xx = X0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ! [X0] :
( ( ( aElement0(X0)
& ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) ) )
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X0)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ) )
| ~ sP5 ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
( ! [X1] :
( ( ( aElement0(X1)
& ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) ) ) )
| ~ sP5 ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
( ! [X1] :
( ( ( aElement0(X1)
& ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) ) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ! [X1] :
( ( aElement0(X1)
& ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
<=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f400,plain,
( ~ aElementOf0(sK12,sdtmndt0(xS,xx))
| spl15_5
| ~ spl15_6 ),
inference(unit_resulting_resolution,[],[f211,f206,f135]) ).
fof(f135,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ sP4
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
| ~ sP4 ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f211,plain,
( sP4
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl15_6
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f195,plain,
( aElementOf0(sK12,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl15_3
<=> aElementOf0(sK12,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f185,plain,
( sP5
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl15_1
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f206,plain,
( ~ aElementOf0(sK12,xS)
| spl15_5 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl15_5
<=> aElementOf0(sK12,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f391,plain,
~ spl15_2,
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f390,plain,
( $false
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f389,f189]) ).
fof(f189,plain,
( sP6
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl15_2
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f389,plain,
( ~ sP6
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f362,f227]) ).
fof(f227,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f213,f225,f177]) ).
fof(f177,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx)
| ~ sP2 ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx != X0
| ~ aElement0(X0)
| ~ sP2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X0] :
( ( ( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0 )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( ~ aElementOf0(X0,sdtmndt0(xS,xx))
& xx != X0 )
| ~ aElement0(X0) ) )
| ~ sP2 ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
( ! [X4] :
( ( ( ( aElementOf0(X4,sdtmndt0(xS,xx))
| xx = X4 )
& aElement0(X4) )
| ~ aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( ~ aElementOf0(X4,sdtmndt0(xS,xx))
& xx != X4 )
| ~ aElement0(X4) ) )
| ~ sP2 ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
( ! [X4] :
( ( ( ( aElementOf0(X4,sdtmndt0(xS,xx))
| xx = X4 )
& aElement0(X4) )
| ~ aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( ~ aElementOf0(X4,sdtmndt0(xS,xx))
& xx != X4 )
| ~ aElement0(X4) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ! [X4] :
( ( ( aElementOf0(X4,sdtmndt0(xS,xx))
| xx = X4 )
& aElement0(X4) )
<=> aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f225,plain,
aElement0(xx),
inference(unit_resulting_resolution,[],[f153,f104,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,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/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f153,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617) ).
fof(f213,plain,
( sP2
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f189,f123]) ).
fof(f123,plain,
( ~ sP6
| sP2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( sP3
& ~ aElementOf0(sK11,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(sK11,xS)
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& aSet0(sdtmndt0(xS,xx))
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& sP2 )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f74,f75]) ).
fof(f75,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X0,xS) )
=> ( ~ aElementOf0(sK11,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(sK11,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ( sP3
& ? [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X0,xS) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& aSet0(sdtmndt0(xS,xx))
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& sP2 )
| ~ sP6 ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
( ( sP3
& ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& aSet0(sdtmndt0(xS,xx))
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& sP2 )
| ~ sP6 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( sP3
& ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& aSet0(sdtmndt0(xS,xx))
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& sP2 )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f362,plain,
( ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ sP6
| ~ spl15_2 ),
inference(backward_demodulation,[],[f128,f354]) ).
fof(f354,plain,
( xx = sK11
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f219,f240,f217,f279,f141]) ).
fof(f141,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ sP3
| xx = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS)
| xx = X0 )
& ( ( aElement0(X0)
& aElementOf0(X0,xS)
& xx != X0 )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
| ~ sP3 ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,xS)
| xx = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,xS)
& xx != X3 )
| ~ aElementOf0(X3,sdtmndt0(xS,xx)) ) )
| ~ sP3 ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,xS)
| xx = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,xS)
& xx != X3 )
| ~ aElementOf0(X3,sdtmndt0(xS,xx)) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( aElement0(X3)
& aElementOf0(X3,xS)
& xx != X3 ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f279,plain,
( ~ aElementOf0(sK11,sdtmndt0(xS,xx))
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f213,f240,f218,f143]) ).
fof(f143,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X0)
| ~ sP2
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f218,plain,
( ~ aElementOf0(sK11,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f189,f128]) ).
fof(f217,plain,
( aElementOf0(sK11,xS)
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f189,f127]) ).
fof(f127,plain,
( aElementOf0(sK11,xS)
| ~ sP6 ),
inference(cnf_transformation,[],[f76]) ).
fof(f240,plain,
( aElement0(sK11)
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f153,f217,f170]) ).
fof(f219,plain,
( sP3
| ~ spl15_2 ),
inference(unit_resulting_resolution,[],[f189,f129]) ).
fof(f129,plain,
( ~ sP6
| sP3 ),
inference(cnf_transformation,[],[f76]) ).
fof(f128,plain,
( ~ aElementOf0(sK11,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ sP6 ),
inference(cnf_transformation,[],[f76]) ).
fof(f212,plain,
( spl15_2
| spl15_6 ),
inference(avatar_split_clause,[],[f146,f209,f187]) ).
fof(f146,plain,
( sP4
| sP6 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP5
& aSet0(sdtmndt0(xS,xx))
& ~ aElementOf0(sK12,xS)
& aElementOf0(sK12,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& sP4 )
| sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f88,f89]) ).
fof(f89,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( ~ aElementOf0(sK12,xS)
& aElementOf0(sK12,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP5
& aSet0(sdtmndt0(xS,xx))
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& sP4 )
| sP6 ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& sP5
& aSet0(sdtmndt0(xS,xx))
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& sP4 )
| sP6 ),
inference(definition_folding,[],[f47,f55,f54,f53,f52,f51]) ).
fof(f47,plain,
( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( ( aElement0(X1)
& ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
<=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtmndt0(xS,xx))
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) ) )
| ( ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( aElement0(X3)
& aElementOf0(X3,xS)
& xx != X3 ) )
& ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& aSet0(sdtmndt0(xS,xx))
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X4] :
( ( ( aElementOf0(X4,sdtmndt0(xS,xx))
| xx = X4 )
& aElement0(X4) )
<=> aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
( ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ! [X1] :
( ( aElement0(X1)
& ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
<=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
| ( ? [X5] :
( ~ aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X4] :
( ( ( aElementOf0(X4,sdtmndt0(xS,xx))
| xx = X4 )
& aElement0(X4) )
<=> aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( aElement0(X3)
& aElementOf0(X3,xS)
& xx != X3 ) )
& aSet0(sdtmndt0(xS,xx)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X1] :
( ( aElement0(X1)
& ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
<=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X2,xS) )
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ) )
& ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(xS,xx))
<=> ( aElement0(X3)
& aElementOf0(X3,xS)
& xx != X3 ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X4] :
( ( ( aElementOf0(X4,sdtmndt0(xS,xx))
| xx = X4 )
& aElement0(X4) )
<=> aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( ! [X5] :
( aElementOf0(X5,xS)
=> aElementOf0(X5,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X0)
& ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0 ) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X0,xS) )
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( aElementOf0(X0,xS)
& xx != X0
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( ( aElement0(X0)
& ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) ) )
<=> aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X0)
& ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0 ) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X0,xS) )
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( aElementOf0(X0,xS)
& xx != X0
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( ( aElement0(X0)
& ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) ) )
<=> aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> ( ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f207,plain,
( ~ spl15_5
| spl15_2 ),
inference(avatar_split_clause,[],[f149,f187,f204]) ).
fof(f149,plain,
( sP6
| ~ aElementOf0(sK12,xS) ),
inference(cnf_transformation,[],[f90]) ).
fof(f196,plain,
( spl15_3
| spl15_2 ),
inference(avatar_split_clause,[],[f148,f187,f193]) ).
fof(f148,plain,
( sP6
| aElementOf0(sK12,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f190,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f151,f187,f183]) ).
fof(f151,plain,
( sP6
| sP5 ),
inference(cnf_transformation,[],[f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:57:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (16456)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51 % (16463)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.51 % (16472)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (16464)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.52 % (16455)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (16477)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.52 % (16479)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (16471)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)
% 0.18/0.52 % (16456)Refutation not found, incomplete strategy% (16456)------------------------------
% 0.18/0.52 % (16456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (16469)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (16472)Instruction limit reached!
% 0.18/0.52 % (16472)------------------------------
% 0.18/0.52 % (16472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (16472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (16476)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)
% 0.18/0.52 % (16472)Termination reason: Unknown
% 0.18/0.52 % (16472)Termination phase: Finite model building preprocessing
% 0.18/0.52
% 0.18/0.52 % (16472)Memory used [KB]: 1535
% 0.18/0.52 % (16456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (16472)Time elapsed: 0.004 s
% 0.18/0.52 % (16456)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52 % (16472)Instructions burned: 4 (million)
% 0.18/0.52
% 0.18/0.52 % (16472)------------------------------
% 0.18/0.52 % (16472)------------------------------
% 0.18/0.52 % (16456)Memory used [KB]: 6140
% 0.18/0.52 % (16458)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (16483)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52 % (16456)Time elapsed: 0.120 s
% 0.18/0.52 % (16456)Instructions burned: 5 (million)
% 0.18/0.52 % (16456)------------------------------
% 0.18/0.52 % (16456)------------------------------
% 0.18/0.52 % (16464)First to succeed.
% 0.18/0.52 % (16460)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (16465)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)
% 0.18/0.53 % (16464)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (16464)------------------------------
% 0.18/0.53 % (16464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (16464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (16464)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (16464)Memory used [KB]: 6268
% 0.18/0.53 % (16464)Time elapsed: 0.118 s
% 0.18/0.53 % (16464)Instructions burned: 15 (million)
% 0.18/0.53 % (16464)------------------------------
% 0.18/0.53 % (16464)------------------------------
% 0.18/0.53 % (16454)Success in time 0.185 s
%------------------------------------------------------------------------------