TSTP Solution File: RNG095+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG095+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 03:41:50 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 81 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 595 ( 41 equ)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 468 ( 169 ~; 162 |; 105 &)
% ( 18 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 216 ( 216 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 28 ( 26 usr; 9 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 207 ( 154 !; 52 ?; 50 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_8,type,
sQ12_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f285,plain,
$false,
inference(avatar_sat_refutation,[],[f230,f236,f263,f273,f277,f284]) ).
tff(f284,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f283]) ).
tff(f283,plain,
( $false
| spl13_10 ),
inference(subsumption_resolution,[],[f282,f141]) ).
tff(f141,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/tmp/tmp.szQ2OGRRjX/Vampire---4.8_17432',mSortsC_01) ).
tff(f282,plain,
( ~ aElement0(sz10)
| spl13_10 ),
inference(resolution,[],[f272,f92]) ).
tff(f92,plain,
! [X0: $i] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
tff(f29,axiom,
! [X0] :
( aElement0(X0)
=> aElementOf0(X0,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/tmp.szQ2OGRRjX/Vampire---4.8_17432',m__1205_03) ).
tff(f272,plain,
( ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| spl13_10 ),
inference(avatar_component_clause,[],[f270]) ).
tff(f270,plain,
( spl13_10
<=> aElementOf0(sz10,sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
tff(f277,plain,
( ~ spl13_4
| ~ spl13_5
| spl13_9 ),
inference(avatar_contradiction_clause,[],[f276]) ).
tff(f276,plain,
( $false
| ~ spl13_4
| ~ spl13_5
| spl13_9 ),
inference(subsumption_resolution,[],[f275,f219]) ).
tff(f219,plain,
( aSet0(xI)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f218,plain,
( spl13_4
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
tff(f275,plain,
( ~ aSet0(xI)
| ~ spl13_5
| spl13_9 ),
inference(subsumption_resolution,[],[f274,f223]) ).
tff(f223,plain,
( aSet0(xJ)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f222]) ).
tff(f222,plain,
( spl13_5
<=> aSet0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
tff(f274,plain,
( ~ aSet0(xJ)
| ~ aSet0(xI)
| spl13_9 ),
inference(resolution,[],[f268,f125]) ).
tff(f125,plain,
! [X0: $i,X1: $i] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f58,f70,f69]) ).
tff(f69,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])]) ).
tff(f70,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X0,X1) = X2 )
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f58,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,[],[f57]) ).
tff(f57,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]) ).
tff(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/sandbox/tmp/tmp.szQ2OGRRjX/Vampire---4.8_17432',mDefSSum) ).
tff(f268,plain,
( ~ sP1(xI,xJ)
| spl13_9 ),
inference(avatar_component_clause,[],[f266]) ).
tff(f266,plain,
( spl13_9
<=> sP1(xI,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
tff(f273,plain,
( ~ spl13_9
| ~ spl13_10
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f264,f261,f270,f266]) ).
tff(f261,plain,
( spl13_8
<=> ! [X2] :
( ~ aElementOf0(sz10,X2)
| ~ sP0(xJ,xI,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
tff(f264,plain,
( ~ aElementOf0(sz10,sdtpldt1(xI,xJ))
| ~ sP1(xI,xJ)
| ~ spl13_8 ),
inference(resolution,[],[f262,f144]) ).
tff(f144,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,sdtpldt1(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f114]) ).
tff(f114,plain,
! [X2: $i,X0: $i,X1: $i] :
( sP0(X1,X0,X2)
| ( sdtpldt1(X0,X1) != X2 )
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tff(f79,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,[],[f70]) ).
tff(f262,plain,
( ! [X2: $i] :
( ~ sP0(xJ,xI,X2)
| ~ aElementOf0(sz10,X2) )
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f263,plain,
( spl13_8
| spl13_8
| spl13_8 ),
inference(avatar_split_clause,[],[f259,f261,f261,f261]) ).
tff(f259,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ aElementOf0(sz10,X0)
| ~ sP0(xJ,xI,X0)
| ~ aElementOf0(sz10,X1)
| ~ sP0(xJ,xI,X1)
| ~ aElementOf0(sz10,X2)
| ~ sP0(xJ,xI,X2) ),
inference(resolution,[],[f251,f117]) ).
tff(f117,plain,
! [X2: $i,X0: $i,X1: $i,X8: $i] :
( aElementOf0(sK8(X0,X1,X8),X1)
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
tff(f86,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ! [X4,X5] :
( ( sdtpldt0(X4,X5) != sK5(X0,X1,X2) )
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK5(X0,X1,X2),X2) )
& ( ( ( sK5(X0,X1,X2) = sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)) )
& aElementOf0(sK7(X0,X1,X2),X0)
& aElementOf0(sK6(X0,X1,X2),X1) )
| aElementOf0(sK5(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X8] :
( ( aElementOf0(X8,X2)
| ! [X9,X10] :
( ( sdtpldt0(X9,X10) != X8 )
| ~ aElementOf0(X10,X0)
| ~ aElementOf0(X9,X1) ) )
& ( ( ( sdtpldt0(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8 )
& aElementOf0(sK9(X0,X1,X8),X0)
& aElementOf0(sK8(X0,X1,X8),X1) )
| ~ aElementOf0(X8,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f82,f85,f84,f83]) ).
tff(f83,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) != sK5(X0,X1,X2) )
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK5(X0,X1,X2),X2) )
& ( ? [X7,X6] :
( ( sdtpldt0(X6,X7) = sK5(X0,X1,X2) )
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
| aElementOf0(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f84,plain,
! [X0,X1,X2] :
( ? [X7,X6] :
( ( sdtpldt0(X6,X7) = sK5(X0,X1,X2) )
& aElementOf0(X7,X0)
& aElementOf0(X6,X1) )
=> ( ( sK5(X0,X1,X2) = sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)) )
& aElementOf0(sK7(X0,X1,X2),X0)
& aElementOf0(sK6(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f85,plain,
! [X0,X1,X8] :
( ? [X11,X12] :
( ( sdtpldt0(X11,X12) = X8 )
& aElementOf0(X12,X0)
& aElementOf0(X11,X1) )
=> ( ( sdtpldt0(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8 )
& aElementOf0(sK9(X0,X1,X8),X0)
& aElementOf0(sK8(X0,X1,X8),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f82,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,[],[f81]) ).
tff(f81,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,[],[f80]) ).
tff(f80,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,[],[f69]) ).
tff(f251,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ aElementOf0(sK8(xJ,X0,sz10),xI)
| ~ aElementOf0(sz10,X1)
| ~ sP0(xJ,X0,X1)
| ~ aElementOf0(sz10,X2)
| ~ sP0(xJ,X0,X2) ),
inference(resolution,[],[f233,f118]) ).
tff(f118,plain,
! [X2: $i,X0: $i,X1: $i,X8: $i] :
( aElementOf0(sK9(X0,X1,X8),X0)
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
tff(f233,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ aElementOf0(sK9(X1,X2,sz10),xJ)
| ~ sP0(X1,X2,X0)
| ~ aElementOf0(sz10,X0)
| ~ aElementOf0(sK8(X1,X2,sz10),xI) ),
inference(resolution,[],[f231,f147]) ).
tff(f147,plain,
! [X0: $i,X1: $i] :
( ~ sQ12_eqProxy($i,sz10,sdtpldt0(X0,X1))
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(equality_proxy_replacement,[],[f95,f146]) ).
tff(f146,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ12_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ12_eqProxy])]) ).
tff(f95,plain,
! [X0: $i,X1: $i] :
( ( sz10 != sdtpldt0(X0,X1) )
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0,X1] :
( ( sz10 != sdtpldt0(X0,X1) )
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,negated_conjecture,
~ ? [X0,X1] :
( ( sz10 = sdtpldt0(X0,X1) )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negated_conjecture,[],[f31]) ).
tff(f31,conjecture,
? [X0,X1] :
( ( sz10 = sdtpldt0(X0,X1) )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
file('/export/starexec/sandbox/tmp/tmp.szQ2OGRRjX/Vampire---4.8_17432',m__) ).
tff(f231,plain,
! [X2: $i,X0: $i,X1: $i,X8: $i] :
( sQ12_eqProxy($i,X8,sdtpldt0(sK8(X0,X1,X8),sK9(X0,X1,X8)))
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(forward_literal_rewriting,[],[f157,f175]) ).
tff(f175,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ12_eqProxy(X0,X2,X1)
| ~ sQ12_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f146]) ).
tff(f157,plain,
! [X2: $i,X0: $i,X1: $i,X8: $i] :
( sQ12_eqProxy($i,sdtpldt0(sK8(X0,X1,X8),sK9(X0,X1,X8)),X8)
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(equality_proxy_replacement,[],[f119,f146]) ).
tff(f119,plain,
! [X2: $i,X0: $i,X1: $i,X8: $i] :
( ( sdtpldt0(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8 )
| ~ aElementOf0(X8,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
tff(f236,plain,
spl13_5,
inference(avatar_contradiction_clause,[],[f235]) ).
tff(f235,plain,
( $false
| spl13_5 ),
inference(subsumption_resolution,[],[f234,f91]) ).
tff(f91,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,axiom,
( aIdeal0(xJ)
& aIdeal0(xI) ),
file('/export/starexec/sandbox/tmp/tmp.szQ2OGRRjX/Vampire---4.8_17432',m__1205) ).
tff(f234,plain,
( ~ aIdeal0(xJ)
| spl13_5 ),
inference(resolution,[],[f224,f98]) ).
tff(f98,plain,
! [X0: $i] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f78]) ).
tff(f78,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
& aElement0(sK3(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
& aElementOf0(sK4(X0),X0) ) )
& aElementOf0(sK2(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f74,f77,f76,f75]) ).
tff(f75,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK2(X0),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f76,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
& aElement0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f77,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
& aElementOf0(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f74,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f73]) ).
tff(f73,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f72]) ).
tff(f72,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.szQ2OGRRjX/Vampire---4.8_17432',mDefIdeal) ).
tff(f224,plain,
( ~ aSet0(xJ)
| spl13_5 ),
inference(avatar_component_clause,[],[f222]) ).
tff(f230,plain,
spl13_4,
inference(avatar_contradiction_clause,[],[f229]) ).
tff(f229,plain,
( $false
| spl13_4 ),
inference(subsumption_resolution,[],[f228,f90]) ).
tff(f90,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
tff(f228,plain,
( ~ aIdeal0(xI)
| spl13_4 ),
inference(resolution,[],[f220,f98]) ).
tff(f220,plain,
( ~ aSet0(xI)
| spl13_4 ),
inference(avatar_component_clause,[],[f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 18:09:26 EDT 2024
% 0.15/0.35 % 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.szQ2OGRRjX/Vampire---4.8_17432
% 0.55/0.75 % (17697)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)
% 0.55/0.75 % (17698)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)
% 0.55/0.75 % (17691)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)
% 0.55/0.75 % (17692)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)
% 0.55/0.75 % (17694)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)
% 0.55/0.75 % (17693)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (17696)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)
% 0.55/0.75 % (17695)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)
% 0.55/0.75 % (17698)Refutation not found, incomplete strategy% (17698)------------------------------
% 0.55/0.75 % (17698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (17698)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (17698)Memory used [KB]: 1083
% 0.55/0.75 % (17698)Time elapsed: 0.005 s
% 0.55/0.75 % (17698)Instructions burned: 6 (million)
% 0.55/0.75 % (17698)------------------------------
% 0.55/0.75 % (17698)------------------------------
% 0.60/0.75 % (17695)Refutation not found, incomplete strategy% (17695)------------------------------
% 0.60/0.75 % (17695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (17695)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (17695)Memory used [KB]: 1135
% 0.60/0.75 % (17695)Time elapsed: 0.005 s
% 0.60/0.75 % (17695)Instructions burned: 7 (million)
% 0.60/0.75 % (17695)------------------------------
% 0.60/0.75 % (17695)------------------------------
% 0.60/0.75 % (17691)First to succeed.
% 0.60/0.75 % (17699)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)
% 0.60/0.76 % (17691)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (17691)------------------------------
% 0.60/0.76 % (17691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (17691)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (17691)Memory used [KB]: 1177
% 0.60/0.76 % (17691)Time elapsed: 0.010 s
% 0.60/0.76 % (17691)Instructions burned: 14 (million)
% 0.60/0.76 % (17691)------------------------------
% 0.60/0.76 % (17691)------------------------------
% 0.60/0.76 % (17687)Success in time 0.387 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------