TSTP Solution File: RNG106+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 May 1 03:41:55 EDT 2024
% Result : Theorem 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 72 ( 6 unt; 0 def)
% Number of atoms : 443 ( 88 equ)
% Maximal formula atoms : 29 ( 6 avg)
% Number of connectives : 523 ( 152 ~; 126 |; 207 &)
% ( 14 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 202 ( 135 !; 67 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f423,plain,
$false,
inference(avatar_sat_refutation,[],[f207,f212,f217,f218,f302,f309,f343,f364,f417,f422]) ).
fof(f422,plain,
( spl21_2
| ~ spl21_4
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| spl21_2
| ~ spl21_4
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f420,f135]) ).
fof(f135,plain,
aElementOf0(sK8,slsdtgt0(xc)),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ( ( ~ aElementOf0(sdtasdt0(sK9,sK8),slsdtgt0(xc))
& aElement0(sK9) )
| ( ~ aElementOf0(sdtpldt0(sK8,sK10),slsdtgt0(xc))
& aElementOf0(sK10,slsdtgt0(xc)) ) )
& aElementOf0(sK8,slsdtgt0(xc))
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xc))
| ! [X4] :
( sdtasdt0(xc,X4) != X3
| ~ aElement0(X4) ) )
& ( ( sdtasdt0(xc,sK11(X3)) = X3
& aElement0(sK11(X3)) )
| ~ aElementOf0(X3,slsdtgt0(xc)) ) )
& aSet0(slsdtgt0(xc))
& ! [X6,X7,X8] :
( sP3(X7,X8,X6)
| ~ aElement0(X8)
| ( ~ aElementOf0(X7,slsdtgt0(xc))
& ! [X9] :
( sdtasdt0(xc,X9) != X7
| ~ aElement0(X9) ) )
| ( ~ aElementOf0(X6,slsdtgt0(xc))
& ! [X10] :
( sdtasdt0(xc,X10) != X6
| ~ aElement0(X10) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f91,f95,f94,f93,f92]) ).
fof(f92,plain,
( ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X0,X2),slsdtgt0(xc))
& aElementOf0(X2,slsdtgt0(xc)) ) )
& aElementOf0(X0,slsdtgt0(xc)) )
=> ( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK8),slsdtgt0(xc))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(sK8,X2),slsdtgt0(xc))
& aElementOf0(X2,slsdtgt0(xc)) ) )
& aElementOf0(sK8,slsdtgt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,sK8),slsdtgt0(xc))
& aElement0(X1) )
=> ( ~ aElementOf0(sdtasdt0(sK9,sK8),slsdtgt0(xc))
& aElement0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X2] :
( ~ aElementOf0(sdtpldt0(sK8,X2),slsdtgt0(xc))
& aElementOf0(X2,slsdtgt0(xc)) )
=> ( ~ aElementOf0(sdtpldt0(sK8,sK10),slsdtgt0(xc))
& aElementOf0(sK10,slsdtgt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X3] :
( ? [X5] :
( sdtasdt0(xc,X5) = X3
& aElement0(X5) )
=> ( sdtasdt0(xc,sK11(X3)) = X3
& aElement0(sK11(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
& aElement0(X1) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X0,X2),slsdtgt0(xc))
& aElementOf0(X2,slsdtgt0(xc)) ) )
& aElementOf0(X0,slsdtgt0(xc)) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xc))
| ! [X4] :
( sdtasdt0(xc,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X5] :
( sdtasdt0(xc,X5) = X3
& aElement0(X5) )
| ~ aElementOf0(X3,slsdtgt0(xc)) ) )
& aSet0(slsdtgt0(xc))
& ! [X6,X7,X8] :
( sP3(X7,X8,X6)
| ~ aElement0(X8)
| ( ~ aElementOf0(X7,slsdtgt0(xc))
& ! [X9] :
( sdtasdt0(xc,X9) != X7
| ~ aElement0(X9) ) )
| ( ~ aElementOf0(X6,slsdtgt0(xc))
& ! [X10] :
( sdtasdt0(xc,X10) != X6
| ~ aElement0(X10) ) ) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ? [X11] :
( ( ? [X12] :
( ~ aElementOf0(sdtasdt0(X12,X11),slsdtgt0(xc))
& aElement0(X12) )
| ? [X13] :
( ~ aElementOf0(sdtpldt0(X11,X13),slsdtgt0(xc))
& aElementOf0(X13,slsdtgt0(xc)) ) )
& aElementOf0(X11,slsdtgt0(xc)) )
& ! [X9] :
( ( aElementOf0(X9,slsdtgt0(xc))
| ! [X10] :
( sdtasdt0(xc,X10) != X9
| ~ aElement0(X10) ) )
& ( ? [X10] :
( sdtasdt0(xc,X10) = X9
& aElement0(X10) )
| ~ aElementOf0(X9,slsdtgt0(xc)) ) )
& aSet0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( sP3(X1,X2,X0)
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,slsdtgt0(xc))
& ! [X3] :
( sdtasdt0(xc,X3) != X1
| ~ aElement0(X3) ) )
| ( ~ aElementOf0(X0,slsdtgt0(xc))
& ! [X4] :
( sdtasdt0(xc,X4) != X0
| ~ aElement0(X4) ) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ? [X11] :
( ( ? [X12] :
( ~ aElementOf0(sdtasdt0(X12,X11),slsdtgt0(xc))
& aElement0(X12) )
| ? [X13] :
( ~ aElementOf0(sdtpldt0(X11,X13),slsdtgt0(xc))
& aElementOf0(X13,slsdtgt0(xc)) ) )
& aElementOf0(X11,slsdtgt0(xc)) )
& ! [X9] :
( aElementOf0(X9,slsdtgt0(xc))
<=> ? [X10] :
( sdtasdt0(xc,X10) = X9
& aElement0(X10) ) )
& aSet0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( sP3(X1,X2,X0)
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,slsdtgt0(xc))
& ! [X3] :
( sdtasdt0(xc,X3) != X1
| ~ aElement0(X3) ) )
| ( ~ aElementOf0(X0,slsdtgt0(xc))
& ! [X4] :
( sdtasdt0(xc,X4) != X0
| ~ aElement0(X4) ) ) ) ),
inference(definition_folding,[],[f48,f72,f71,f70,f69]) ).
fof(f69,plain,
! [X1,X0] :
( ? [X8] :
( sdtpldt0(X0,X1) = sdtasdt0(xc,X8)
& aElement0(X8) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f70,plain,
! [X0,X2] :
( ? [X7] :
( sdtasdt0(X2,X0) = sdtasdt0(xc,X7)
& aElement0(X7) )
| ~ sP1(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f71,plain,
! [X0,X2,X1,X5] :
( ? [X6] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& sP1(X0,X2)
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sP0(X1,X0)
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(xc,X6) = X1
& aElement0(X6) )
| ~ sP2(X0,X2,X1,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f72,plain,
! [X1,X2,X0] :
( ? [X5] :
( sP2(X0,X2,X1,X5)
& sdtasdt0(xc,X5) = X0
& aElement0(X5) )
| ~ sP3(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f48,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ? [X11] :
( ( ? [X12] :
( ~ aElementOf0(sdtasdt0(X12,X11),slsdtgt0(xc))
& aElement0(X12) )
| ? [X13] :
( ~ aElementOf0(sdtpldt0(X11,X13),slsdtgt0(xc))
& aElementOf0(X13,slsdtgt0(xc)) ) )
& aElementOf0(X11,slsdtgt0(xc)) )
& ! [X9] :
( aElementOf0(X9,slsdtgt0(xc))
<=> ? [X10] :
( sdtasdt0(xc,X10) = X9
& aElement0(X10) ) )
& aSet0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X5] :
( ? [X6] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& ? [X7] :
( sdtasdt0(X2,X0) = sdtasdt0(xc,X7)
& aElement0(X7) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X8] :
( sdtpldt0(X0,X1) = sdtasdt0(xc,X8)
& aElement0(X8) )
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(xc,X6) = X1
& aElement0(X6) )
& sdtasdt0(xc,X5) = X0
& aElement0(X5) )
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,slsdtgt0(xc))
& ! [X3] :
( sdtasdt0(xc,X3) != X1
| ~ aElement0(X3) ) )
| ( ~ aElementOf0(X0,slsdtgt0(xc))
& ! [X4] :
( sdtasdt0(xc,X4) != X0
| ~ aElement0(X4) ) ) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ? [X11] :
( ( ? [X12] :
( ~ aElementOf0(sdtasdt0(X12,X11),slsdtgt0(xc))
& aElement0(X12) )
| ? [X13] :
( ~ aElementOf0(sdtpldt0(X11,X13),slsdtgt0(xc))
& aElementOf0(X13,slsdtgt0(xc)) ) )
& aElementOf0(X11,slsdtgt0(xc)) )
& ! [X9] :
( aElementOf0(X9,slsdtgt0(xc))
<=> ? [X10] :
( sdtasdt0(xc,X10) = X9
& aElement0(X10) ) )
& aSet0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X5] :
( ? [X6] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& ? [X7] :
( sdtasdt0(X2,X0) = sdtasdt0(xc,X7)
& aElement0(X7) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X8] :
( sdtpldt0(X0,X1) = sdtasdt0(xc,X8)
& aElement0(X8) )
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(xc,X6) = X1
& aElement0(X6) )
& sdtasdt0(xc,X5) = X0
& aElement0(X5) )
| ~ aElement0(X2)
| ( ~ aElementOf0(X1,slsdtgt0(xc))
& ! [X3] :
( sdtasdt0(xc,X3) != X1
| ~ aElement0(X3) ) )
| ( ~ aElementOf0(X0,slsdtgt0(xc))
& ! [X4] :
( sdtasdt0(xc,X4) != X0
| ~ aElement0(X4) ) ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
~ ( ! [X0,X1,X2] :
( ( aElement0(X2)
& ( aElementOf0(X1,slsdtgt0(xc))
| ? [X3] :
( sdtasdt0(xc,X3) = X1
& aElement0(X3) ) )
& ( aElementOf0(X0,slsdtgt0(xc))
| ? [X4] :
( sdtasdt0(xc,X4) = X0
& aElement0(X4) ) ) )
=> ? [X5] :
( ? [X6] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& ? [X7] :
( sdtasdt0(X2,X0) = sdtasdt0(xc,X7)
& aElement0(X7) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X8] :
( sdtpldt0(X0,X1) = sdtasdt0(xc,X8)
& aElement0(X8) )
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(xc,X6) = X1
& aElement0(X6) )
& sdtasdt0(xc,X5) = X0
& aElement0(X5) ) )
=> ( ( ! [X9] :
( aElementOf0(X9,slsdtgt0(xc))
<=> ? [X10] :
( sdtasdt0(xc,X10) = X9
& aElement0(X10) ) )
& aSet0(slsdtgt0(xc)) )
=> ( aIdeal0(slsdtgt0(xc))
| ! [X11] :
( aElementOf0(X11,slsdtgt0(xc))
=> ( ! [X12] :
( aElement0(X12)
=> aElementOf0(sdtasdt0(X12,X11),slsdtgt0(xc)) )
& ! [X13] :
( aElementOf0(X13,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X11,X13),slsdtgt0(xc)) ) ) ) ) ) ),
inference(rectify,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElement0(X2)
& ( aElementOf0(X1,slsdtgt0(xc))
| ? [X3] :
( sdtasdt0(xc,X3) = X1
& aElement0(X3) ) )
& ( aElementOf0(X0,slsdtgt0(xc))
| ? [X3] :
( sdtasdt0(xc,X3) = X0
& aElement0(X3) ) ) )
=> ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& ? [X5] :
( sdtasdt0(X2,X0) = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X5] :
( sdtpldt0(X0,X1) = sdtasdt0(xc,X5)
& aElement0(X5) )
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
<=> ? [X1] :
( sdtasdt0(xc,X1) = X0
& aElement0(X1) ) )
& aSet0(slsdtgt0(xc)) )
=> ( aIdeal0(slsdtgt0(xc))
| ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc)) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( ! [X0,X1,X2] :
( ( aElement0(X2)
& ( aElementOf0(X1,slsdtgt0(xc))
| ? [X3] :
( sdtasdt0(xc,X3) = X1
& aElement0(X3) ) )
& ( aElementOf0(X0,slsdtgt0(xc))
| ? [X3] :
( sdtasdt0(xc,X3) = X0
& aElement0(X3) ) ) )
=> ? [X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& ? [X5] :
( sdtasdt0(X2,X0) = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& ? [X5] :
( sdtpldt0(X0,X1) = sdtasdt0(xc,X5)
& aElement0(X5) )
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(xc,X4) = X1
& aElement0(X4) )
& sdtasdt0(xc,X3) = X0
& aElement0(X3) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
<=> ? [X1] :
( sdtasdt0(xc,X1) = X0
& aElement0(X1) ) )
& aSet0(slsdtgt0(xc)) )
=> ( aIdeal0(slsdtgt0(xc))
| ! [X0] :
( aElementOf0(X0,slsdtgt0(xc))
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc)) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rzOKHgf4aG/Vampire---4.8_30577',m__) ).
fof(f420,plain,
( ~ aElementOf0(sK8,slsdtgt0(xc))
| spl21_2
| ~ spl21_4
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f419,f216]) ).
fof(f216,plain,
( aElement0(sK9)
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl21_4
<=> aElement0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f419,plain,
( ~ aElement0(sK9)
| ~ aElementOf0(sK8,slsdtgt0(xc))
| spl21_2
| ~ spl21_11 ),
inference(resolution,[],[f206,f305]) ).
fof(f305,plain,
( ! [X2,X1] :
( aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc))
| ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc)) )
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl21_11
<=> ! [X2,X1] :
( ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f206,plain,
( ~ aElementOf0(sdtasdt0(sK9,sK8),slsdtgt0(xc))
| spl21_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl21_2
<=> aElementOf0(sdtasdt0(sK9,sK8),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f417,plain,
( ~ spl21_3
| spl21_1
| ~ spl21_10 ),
inference(avatar_split_clause,[],[f410,f300,f200,f209]) ).
fof(f209,plain,
( spl21_3
<=> aElementOf0(sK10,slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f200,plain,
( spl21_1
<=> aElementOf0(sdtpldt0(sK8,sK10),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f300,plain,
( spl21_10
<=> ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f410,plain,
( ~ aElementOf0(sK10,slsdtgt0(xc))
| spl21_1
| ~ spl21_10 ),
inference(subsumption_resolution,[],[f402,f135]) ).
fof(f402,plain,
( ~ aElementOf0(sK8,slsdtgt0(xc))
| ~ aElementOf0(sK10,slsdtgt0(xc))
| spl21_1
| ~ spl21_10 ),
inference(resolution,[],[f301,f202]) ).
fof(f202,plain,
( ~ aElementOf0(sdtpldt0(sK8,sK10),slsdtgt0(xc))
| spl21_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f301,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) )
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f364,plain,
~ spl21_12,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| ~ spl21_12 ),
inference(resolution,[],[f308,f135]) ).
fof(f308,plain,
( ! [X0] : ~ aElementOf0(X0,slsdtgt0(xc))
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl21_12
<=> ! [X0] : ~ aElementOf0(X0,slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f343,plain,
~ spl21_9,
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl21_9 ),
inference(resolution,[],[f298,f111]) ).
fof(f111,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/tmp/tmp.rzOKHgf4aG/Vampire---4.8_30577',m__1905) ).
fof(f298,plain,
( ! [X2] : ~ aElement0(X2)
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl21_9
<=> ! [X2] : ~ aElement0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f309,plain,
( spl21_11
| spl21_12 ),
inference(avatar_split_clause,[],[f295,f307,f304]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ),
inference(resolution,[],[f262,f122]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ( aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),slsdtgt0(xc))
& sP0(X2,X0)
& sdtasdt0(X1,X0) = sdtasdt0(xc,sdtasdt0(X3,X1))
& sdtpldt0(X0,X2) = sdtasdt0(xc,sdtpldt0(X3,sK5(X0,X1,X2,X3)))
& sdtasdt0(xc,sK5(X0,X1,X2,X3)) = X2
& aElement0(sK5(X0,X1,X2,X3)) )
| ~ sP2(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f79,f80]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),slsdtgt0(xc))
& sP0(X2,X0)
& sdtasdt0(X1,X0) = sdtasdt0(xc,sdtasdt0(X3,X1))
& sdtasdt0(xc,sdtpldt0(X3,X4)) = sdtpldt0(X0,X2)
& sdtasdt0(xc,X4) = X2
& aElement0(X4) )
=> ( aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),slsdtgt0(xc))
& sP0(X2,X0)
& sdtasdt0(X1,X0) = sdtasdt0(xc,sdtasdt0(X3,X1))
& sdtpldt0(X0,X2) = sdtasdt0(xc,sdtpldt0(X3,sK5(X0,X1,X2,X3)))
& sdtasdt0(xc,sK5(X0,X1,X2,X3)) = X2
& aElement0(sK5(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( aElementOf0(sdtasdt0(X1,X0),slsdtgt0(xc))
& sP1(X0,X1)
& aElementOf0(sdtpldt0(X0,X2),slsdtgt0(xc))
& sP0(X2,X0)
& sdtasdt0(X1,X0) = sdtasdt0(xc,sdtasdt0(X3,X1))
& sdtasdt0(xc,sdtpldt0(X3,X4)) = sdtpldt0(X0,X2)
& sdtasdt0(xc,X4) = X2
& aElement0(X4) )
| ~ sP2(X0,X1,X2,X3) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X0,X2,X1,X5] :
( ? [X6] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
& sP1(X0,X2)
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& sP0(X1,X0)
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X5,X2))
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X5,X6))
& sdtasdt0(xc,X6) = X1
& aElement0(X6) )
| ~ sP2(X0,X2,X1,X5) ),
inference(nnf_transformation,[],[f71]) ).
fof(f262,plain,
! [X2,X0,X1] :
( sP2(X2,X0,X1,sK4(X1,X0,X2))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X0) ),
inference(resolution,[],[f130,f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sP2(X2,X1,X0,sK4(X0,X1,X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( sP2(X2,X1,X0,sK4(X0,X1,X2))
& sdtasdt0(xc,sK4(X0,X1,X2)) = X2
& aElement0(sK4(X0,X1,X2)) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP2(X2,X1,X0,X3)
& sdtasdt0(xc,X3) = X2
& aElement0(X3) )
=> ( sP2(X2,X1,X0,sK4(X0,X1,X2))
& sdtasdt0(xc,sK4(X0,X1,X2)) = X2
& aElement0(sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP2(X2,X1,X0,X3)
& sdtasdt0(xc,X3) = X2
& aElement0(X3) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X2,X0] :
( ? [X5] :
( sP2(X0,X2,X1,X5)
& sdtasdt0(xc,X5) = X0
& aElement0(X5) )
| ~ sP3(X1,X2,X0) ),
inference(nnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X8,X6,X7] :
( sP3(X7,X8,X6)
| ~ aElement0(X8)
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X6,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f302,plain,
( spl21_9
| spl21_10 ),
inference(avatar_split_clause,[],[f294,f300,f297]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2)
| aElementOf0(sdtpldt0(X1,X0),slsdtgt0(xc)) ),
inference(resolution,[],[f262,f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| aElementOf0(sdtpldt0(X0,X2),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f218,plain,
( spl21_3
| spl21_4 ),
inference(avatar_split_clause,[],[f136,f214,f209]) ).
fof(f136,plain,
( aElement0(sK9)
| aElementOf0(sK10,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f217,plain,
( ~ spl21_1
| spl21_4 ),
inference(avatar_split_clause,[],[f137,f214,f200]) ).
fof(f137,plain,
( aElement0(sK9)
| ~ aElementOf0(sdtpldt0(sK8,sK10),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f212,plain,
( spl21_3
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f138,f204,f209]) ).
fof(f138,plain,
( ~ aElementOf0(sdtasdt0(sK9,sK8),slsdtgt0(xc))
| aElementOf0(sK10,slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f207,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f139,f204,f200]) ).
fof(f139,plain,
( ~ aElementOf0(sdtasdt0(sK9,sK8),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(sK8,sK10),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Apr 30 17:38:21 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.29 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.rzOKHgf4aG/Vampire---4.8_30577
% 0.47/0.69 % (30752)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.47/0.69 % (30758)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.47/0.69 % (30757)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.47/0.69 % (30759)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.47/0.69 % (30756)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.47/0.69 % (30755)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.47/0.69 % (30754)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.69 % (30753)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.47/0.69 % (30759)First to succeed.
% 0.47/0.69 % (30752)Also succeeded, but the first one will report.
% 0.47/0.69 % (30757)Also succeeded, but the first one will report.
% 0.47/0.69 % (30759)Refutation found. Thanks to Tanya!
% 0.47/0.69 % SZS status Theorem for Vampire---4
% 0.47/0.69 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.69 % (30759)------------------------------
% 0.47/0.69 % (30759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.69 % (30759)Termination reason: Refutation
% 0.47/0.69
% 0.47/0.69 % (30759)Memory used [KB]: 1202
% 0.47/0.69 % (30759)Time elapsed: 0.006 s
% 0.47/0.69 % (30759)Instructions burned: 14 (million)
% 0.47/0.69 % (30759)------------------------------
% 0.47/0.69 % (30759)------------------------------
% 0.47/0.69 % (30712)Success in time 0.395 s
% 0.47/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------