TSTP Solution File: RNG115+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG115+1 : 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:54:21 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 73 ( 12 unt; 0 def)
% Number of atoms : 377 ( 91 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 483 ( 179 ~; 171 |; 109 &)
% ( 15 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 201 ( 149 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1945,plain,
$false,
inference(avatar_sat_refutation,[],[f309,f1934,f1944]) ).
fof(f1944,plain,
( ~ spl21_8
| ~ spl21_23 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1943,plain,
( $false
| ~ spl21_8
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1942,f140]) ).
fof(f140,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox2/tmp/tmp.KQTC0qZ4wz/Vampire---4.8_5178',m__2273) ).
fof(f1942,plain,
( ~ aElementOf0(xu,xI)
| ~ spl21_8
| ~ spl21_23 ),
inference(forward_demodulation,[],[f1941,f225]) ).
fof(f225,plain,
xI = sdtpldt1(sF20,sF19),
inference(forward_demodulation,[],[f224,f213]) ).
fof(f213,plain,
slsdtgt0(xa) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f224,plain,
xI = sdtpldt1(slsdtgt0(xa),sF19),
inference(forward_demodulation,[],[f133,f212]) ).
fof(f212,plain,
slsdtgt0(xb) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f133,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.KQTC0qZ4wz/Vampire---4.8_5178',m__2174) ).
fof(f1941,plain,
( ~ aElementOf0(xu,sdtpldt1(sF20,sF19))
| ~ spl21_8
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1938,f299]) ).
fof(f299,plain,
( sP1(sF20,sF19)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl21_8
<=> sP1(sF20,sF19) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f1938,plain,
( ~ aElementOf0(xu,sdtpldt1(sF20,sF19))
| ~ sP1(sF20,sF19)
| ~ spl21_23 ),
inference(resolution,[],[f1933,f205]) ).
fof(f205,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt1(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt1(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| sdtpldt1(X0,X1) != X2 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1933,plain,
( ! [X2] :
( ~ sP0(sF19,sF20,X2)
| ~ aElementOf0(xu,X2) )
| ~ spl21_23 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f1932,plain,
( spl21_23
<=> ! [X2] :
( ~ aElementOf0(xu,X2)
| ~ sP0(sF19,sF20,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f1934,plain,
( spl21_23
| spl21_23
| spl21_23 ),
inference(avatar_split_clause,[],[f1930,f1932,f1932,f1932]) ).
fof(f1930,plain,
! [X2,X0,X1] :
( ~ aElementOf0(xu,X0)
| ~ sP0(sF19,sF20,X0)
| ~ aElementOf0(xu,X1)
| ~ sP0(sF19,sF20,X1)
| ~ aElementOf0(xu,X2)
| ~ sP0(sF19,sF20,X2) ),
inference(resolution,[],[f1929,f172]) ).
fof(f172,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK10(X0,X1,X8),X1)
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != sK7(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) = sdtpldt0(sK8(X0,X1,X2),sK9(X0,X1,X2))
& aElementOf0(sK9(X0,X1,X2),X0)
& aElementOf0(sK8(X0,X1,X2),X1) )
| aElementOf0(sK7(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( sdtpldt0(sK10(X0,X1,X8),sK11(X0,X1,X8)) = X8
& aElementOf0(sK11(X0,X1,X8),X0)
& aElementOf0(sK10(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f109,f112,f111,f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X5,X4] :
( sdtpldt0(X4,X5) != sK7(X0,X1,X2)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK7(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( sdtpldt0(X6,X7) = sK7(X0,X1,X2)
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( sK7(X0,X1,X2) = sdtpldt0(sK8(X0,X1,X2),sK9(X0,X1,X2))
& aElementOf0(sK9(X0,X1,X2),X0)
& aElementOf0(sK8(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( sdtpldt0(sK10(X0,X1,X8),sK11(X0,X1,X8)) = X8
& aElementOf0(sK11(X0,X1,X8),X0)
& aElementOf0(sK10(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
| ~ aElementOf0(X8,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) )
& ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1929,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK10(sF19,X0,xu),sF20)
| ~ aElementOf0(xu,X1)
| ~ sP0(sF19,X0,X1)
| ~ aElementOf0(xu,X2)
| ~ sP0(sF19,X0,X2) ),
inference(resolution,[],[f1928,f173]) ).
fof(f173,plain,
! [X2,X0,X1,X8] :
( aElementOf0(sK11(X0,X1,X8),X0)
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f1928,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK11(X0,X1,xu),sF19)
| ~ aElementOf0(sK10(X0,X1,xu),sF20)
| ~ aElementOf0(xu,X2)
| ~ sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f1240]) ).
fof(f1240,plain,
! [X2,X3,X0,X1] :
( xu != X2
| ~ aElementOf0(sK11(X0,X1,X2),sF19)
| ~ aElementOf0(sK10(X0,X1,X2),sF20)
| ~ aElementOf0(X2,X3)
| ~ sP0(X0,X1,X3) ),
inference(superposition,[],[f214,f174]) ).
fof(f174,plain,
! [X2,X0,X1,X8] :
( sdtpldt0(sK10(X0,X1,X8),sK11(X0,X1,X8)) = X8
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f214,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,sF19)
| ~ aElementOf0(X0,sF20) ),
inference(definition_folding,[],[f144,f213,f212]) ).
fof(f144,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,negated_conjecture,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ),
inference(negated_conjecture,[],[f47]) ).
fof(f47,conjecture,
? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ),
file('/export/starexec/sandbox2/tmp/tmp.KQTC0qZ4wz/Vampire---4.8_5178',m__) ).
fof(f309,plain,
spl21_8,
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| spl21_8 ),
inference(subsumption_resolution,[],[f307,f251]) ).
fof(f251,plain,
aSet0(sF20),
inference(subsumption_resolution,[],[f249,f128]) ).
fof(f128,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.KQTC0qZ4wz/Vampire---4.8_5178',m__2091) ).
fof(f249,plain,
( aSet0(sF20)
| ~ aElement0(xa) ),
inference(superposition,[],[f211,f213]) ).
fof(f211,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
& aElement0(sK13(X0,X1)) )
| aElementOf0(sK12(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK14(X0,X5)) = X5
& aElement0(sK14(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f116,f119,f118,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK12(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK12(X0,X1)
& aElement0(X4) )
| aElementOf0(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK12(X0,X1)
& aElement0(X4) )
=> ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
& aElement0(sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK14(X0,X5)) = X5
& aElement0(sK14(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KQTC0qZ4wz/Vampire---4.8_5178',mDefPrIdeal) ).
fof(f307,plain,
( ~ aSet0(sF20)
| spl21_8 ),
inference(subsumption_resolution,[],[f306,f250]) ).
fof(f250,plain,
aSet0(sF19),
inference(subsumption_resolution,[],[f248,f129]) ).
fof(f129,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f248,plain,
( aSet0(sF19)
| ~ aElement0(xb) ),
inference(superposition,[],[f211,f212]) ).
fof(f306,plain,
( ~ aSet0(sF19)
| ~ aSet0(sF20)
| spl21_8 ),
inference(resolution,[],[f300,f180]) ).
fof(f180,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f73,f90,f89]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KQTC0qZ4wz/Vampire---4.8_5178',mDefSSum) ).
fof(f300,plain,
( ~ sP1(sF20,sF19)
| spl21_8 ),
inference(avatar_component_clause,[],[f298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : RNG115+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:16:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.KQTC0qZ4wz/Vampire---4.8_5178
% 0.56/0.75 % (5538)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)
% 0.56/0.76 % (5531)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)
% 0.56/0.76 % (5533)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (5532)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)
% 0.56/0.76 % (5534)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)
% 0.56/0.76 % (5535)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)
% 0.56/0.76 % (5536)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)
% 0.56/0.76 % (5537)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)
% 0.60/0.77 % (5535)Refutation not found, incomplete strategy% (5535)------------------------------
% 0.60/0.77 % (5535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5535)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5535)Memory used [KB]: 1439
% 0.60/0.77 % (5535)Time elapsed: 0.012 s
% 0.60/0.77 % (5535)Instructions burned: 19 (million)
% 0.60/0.77 % (5531)Refutation not found, incomplete strategy% (5531)------------------------------
% 0.60/0.77 % (5531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5531)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5531)Memory used [KB]: 1216
% 0.60/0.77 % (5531)Time elapsed: 0.013 s
% 0.60/0.77 % (5531)Instructions burned: 19 (million)
% 0.60/0.77 % (5535)------------------------------
% 0.60/0.77 % (5535)------------------------------
% 0.60/0.77 % (5531)------------------------------
% 0.60/0.77 % (5531)------------------------------
% 0.60/0.77 % (5539)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.77 % (5540)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.77 % (5538)Instruction limit reached!
% 0.60/0.77 % (5538)------------------------------
% 0.60/0.77 % (5538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5538)Termination reason: Unknown
% 0.60/0.77 % (5538)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (5538)Memory used [KB]: 1906
% 0.60/0.77 % (5538)Time elapsed: 0.020 s
% 0.60/0.77 % (5538)Instructions burned: 58 (million)
% 0.60/0.77 % (5538)------------------------------
% 0.60/0.77 % (5538)------------------------------
% 0.60/0.77 % (5534)Instruction limit reached!
% 0.60/0.77 % (5534)------------------------------
% 0.60/0.77 % (5534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5534)Termination reason: Unknown
% 0.60/0.77 % (5534)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (5534)Memory used [KB]: 1541
% 0.60/0.77 % (5534)Time elapsed: 0.020 s
% 0.60/0.77 % (5534)Instructions burned: 34 (million)
% 0.60/0.77 % (5534)------------------------------
% 0.60/0.77 % (5534)------------------------------
% 0.60/0.78 % (5541)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.78 % (5542)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.78 % (5536)Instruction limit reached!
% 0.60/0.78 % (5536)------------------------------
% 0.60/0.78 % (5536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (5536)Termination reason: Unknown
% 0.60/0.78 % (5536)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (5536)Memory used [KB]: 1612
% 0.60/0.78 % (5536)Time elapsed: 0.028 s
% 0.60/0.78 % (5536)Instructions burned: 46 (million)
% 0.60/0.78 % (5536)------------------------------
% 0.60/0.78 % (5536)------------------------------
% 0.60/0.79 % (5543)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.79 % (5532)Instruction limit reached!
% 0.60/0.79 % (5532)------------------------------
% 0.60/0.79 % (5532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (5532)Termination reason: Unknown
% 0.60/0.79 % (5532)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (5532)Memory used [KB]: 1852
% 0.60/0.79 % (5532)Time elapsed: 0.035 s
% 0.60/0.79 % (5532)Instructions burned: 51 (million)
% 0.60/0.79 % (5532)------------------------------
% 0.60/0.79 % (5532)------------------------------
% 0.60/0.79 % (5537)Instruction limit reached!
% 0.60/0.79 % (5537)------------------------------
% 0.60/0.79 % (5537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (5537)Termination reason: Unknown
% 0.60/0.79 % (5537)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (5537)Memory used [KB]: 2024
% 0.60/0.79 % (5537)Time elapsed: 0.039 s
% 0.60/0.79 % (5537)Instructions burned: 83 (million)
% 0.60/0.79 % (5537)------------------------------
% 0.60/0.79 % (5537)------------------------------
% 0.60/0.79 % (5544)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.80 % (5545)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.80 % (5540)Instruction limit reached!
% 0.60/0.80 % (5540)------------------------------
% 0.60/0.80 % (5540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (5540)Termination reason: Unknown
% 0.60/0.80 % (5540)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (5540)Memory used [KB]: 1851
% 0.60/0.80 % (5540)Time elapsed: 0.028 s
% 0.60/0.80 % (5540)Instructions burned: 50 (million)
% 0.60/0.80 % (5540)------------------------------
% 0.60/0.80 % (5540)------------------------------
% 0.60/0.80 % (5539)Instruction limit reached!
% 0.60/0.80 % (5539)------------------------------
% 0.60/0.80 % (5539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (5539)Termination reason: Unknown
% 0.60/0.80 % (5539)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (5539)Memory used [KB]: 2147
% 0.60/0.80 % (5539)Time elapsed: 0.030 s
% 0.60/0.80 % (5539)Instructions burned: 55 (million)
% 0.60/0.80 % (5539)------------------------------
% 0.60/0.80 % (5539)------------------------------
% 0.60/0.80 % (5546)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.80 % (5547)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.81 % (5533)Instruction limit reached!
% 0.60/0.81 % (5533)------------------------------
% 0.60/0.81 % (5533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (5533)Termination reason: Unknown
% 0.60/0.81 % (5533)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (5533)Memory used [KB]: 2165
% 0.60/0.81 % (5533)Time elapsed: 0.052 s
% 0.60/0.81 % (5533)Instructions burned: 79 (million)
% 0.60/0.81 % (5533)------------------------------
% 0.60/0.81 % (5533)------------------------------
% 0.60/0.81 % (5541)First to succeed.
% 0.60/0.81 % (5541)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5439"
% 0.60/0.81 % (5541)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (5541)------------------------------
% 0.60/0.81 % (5541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (5541)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (5541)Memory used [KB]: 1688
% 0.60/0.81 % (5541)Time elapsed: 0.032 s
% 0.60/0.81 % (5541)Instructions burned: 97 (million)
% 0.60/0.81 % (5439)Success in time 0.422 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------