TSTP Solution File: RNG087+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Tue Apr 30 14:51:54 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 36
% Syntax : Number of formulae : 102 ( 46 unt; 0 def)
% Number of atoms : 331 ( 28 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 315 ( 86 ~; 79 |; 97 &)
% ( 27 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 24 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 97 ( 77 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f289,plain,
$false,
inference(avatar_sat_refutation,[],[f175,f180,f185,f190,f195,f200,f205,f209,f214,f219,f224,f229,f234,f239,f244,f248,f255,f260,f265,f270,f275,f283,f287,f288]) ).
fof(f288,plain,
( ~ spl15_13
| ~ spl15_14
| ~ spl15_8
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f279,f267,f207,f236,f231]) ).
fof(f231,plain,
( spl15_13
<=> aElementOf0(sK3,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f236,plain,
( spl15_14
<=> aElementOf0(sK4,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f207,plain,
( spl15_8
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) != xy
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f267,plain,
( spl15_20
<=> xy = sdtpldt0(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f279,plain,
( ~ aElementOf0(sK4,xJ)
| ~ aElementOf0(sK3,xI)
| ~ spl15_8
| ~ spl15_20 ),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f278,plain,
( xy != xy
| ~ aElementOf0(sK4,xJ)
| ~ aElementOf0(sK3,xI)
| ~ spl15_8
| ~ spl15_20 ),
inference(superposition,[],[f208,f269]) ).
fof(f269,plain,
( xy = sdtpldt0(sK3,sK4)
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f208,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) != xy
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) )
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f287,plain,
spl15_23,
inference(avatar_split_clause,[],[f139,f285]) ).
fof(f285,plain,
( spl15_23
<=> ! [X2,X0,X1] :
( aSet0(X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f139,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ aElementOf0(sK9(X0,X1,X2),X0)
| ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aElementOf0(sK9(X0,X1,X2),X2) )
& ( ( aElementOf0(sK9(X0,X1,X2),X0)
& aElementOf0(sK9(X0,X1,X2),X1) )
| aElementOf0(sK9(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f83,f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ~ aElementOf0(sK9(X0,X1,X2),X0)
| ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aElementOf0(sK9(X0,X1,X2),X2) )
& ( ( aElementOf0(sK9(X0,X1,X2),X0)
& aElementOf0(sK9(X0,X1,X2),X1) )
| aElementOf0(sK9(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) )
& ( ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f283,plain,
spl15_22,
inference(avatar_split_clause,[],[f119,f281]) ).
fof(f281,plain,
( spl15_22
<=> ! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f119,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f275,plain,
spl15_21,
inference(avatar_split_clause,[],[f113,f272]) ).
fof(f272,plain,
( spl15_21
<=> aElementOf0(xy,sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f113,plain,
aElementOf0(xy,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& xy = sdtpldt0(sK3,sK4)
& aElementOf0(sK4,xJ)
& aElementOf0(sK3,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& xx = sdtpldt0(sK5,sK6)
& aElementOf0(sK6,xJ)
& aElementOf0(sK5,xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f31,f75,f74]) ).
fof(f74,plain,
( ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
=> ( xy = sdtpldt0(sK3,sK4)
& aElementOf0(sK4,xJ)
& aElementOf0(sK3,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X2,X3] :
( xx = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
=> ( xx = sdtpldt0(sK5,sK6)
& aElementOf0(sK6,xJ)
& aElementOf0(sK5,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( xx = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xx
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).
fof(f270,plain,
spl15_20,
inference(avatar_split_clause,[],[f112,f267]) ).
fof(f112,plain,
xy = sdtpldt0(sK3,sK4),
inference(cnf_transformation,[],[f76]) ).
fof(f265,plain,
spl15_19,
inference(avatar_split_clause,[],[f109,f262]) ).
fof(f262,plain,
( spl15_19
<=> aElementOf0(xx,sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f109,plain,
aElementOf0(xx,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f76]) ).
fof(f260,plain,
spl15_18,
inference(avatar_split_clause,[],[f108,f257]) ).
fof(f257,plain,
( spl15_18
<=> xx = sdtpldt0(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f108,plain,
xx = sdtpldt0(sK5,sK6),
inference(cnf_transformation,[],[f76]) ).
fof(f255,plain,
spl15_17,
inference(avatar_split_clause,[],[f105,f252]) ).
fof(f252,plain,
( spl15_17
<=> xx = sdtpldt0(xk,xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f105,plain,
xx = sdtpldt0(xk,xl),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( xx = sdtpldt0(xk,xl)
& aElementOf0(xl,xJ)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
fof(f248,plain,
spl15_16,
inference(avatar_split_clause,[],[f130,f246]) ).
fof(f246,plain,
( spl15_16
<=> ! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f130,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [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(ennf_transformation,[],[f36]) ).
fof(f36,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(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,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]) ).
fof(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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f244,plain,
~ spl15_15,
inference(avatar_split_clause,[],[f117,f241]) ).
fof(f241,plain,
( spl15_15
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f117,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
sz00 != sz10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(f239,plain,
spl15_14,
inference(avatar_split_clause,[],[f111,f236]) ).
fof(f111,plain,
aElementOf0(sK4,xJ),
inference(cnf_transformation,[],[f76]) ).
fof(f234,plain,
spl15_13,
inference(avatar_split_clause,[],[f110,f231]) ).
fof(f110,plain,
aElementOf0(sK3,xI),
inference(cnf_transformation,[],[f76]) ).
fof(f229,plain,
spl15_12,
inference(avatar_split_clause,[],[f107,f226]) ).
fof(f226,plain,
( spl15_12
<=> aElementOf0(sK6,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f107,plain,
aElementOf0(sK6,xJ),
inference(cnf_transformation,[],[f76]) ).
fof(f224,plain,
spl15_11,
inference(avatar_split_clause,[],[f106,f221]) ).
fof(f221,plain,
( spl15_11
<=> aElementOf0(sK5,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f106,plain,
aElementOf0(sK5,xI),
inference(cnf_transformation,[],[f76]) ).
fof(f219,plain,
spl15_10,
inference(avatar_split_clause,[],[f104,f216]) ).
fof(f216,plain,
( spl15_10
<=> aElementOf0(xl,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f104,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f214,plain,
spl15_9,
inference(avatar_split_clause,[],[f103,f211]) ).
fof(f211,plain,
( spl15_9
<=> aElementOf0(xk,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f103,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f209,plain,
spl15_8,
inference(avatar_split_clause,[],[f94,f207]) ).
fof(f94,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xy
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xy
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f205,plain,
spl15_7,
inference(avatar_split_clause,[],[f116,f202]) ).
fof(f202,plain,
( spl15_7
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f116,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f200,plain,
spl15_6,
inference(avatar_split_clause,[],[f115,f197]) ).
fof(f197,plain,
( spl15_6
<=> aElement0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f115,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f195,plain,
spl15_5,
inference(avatar_split_clause,[],[f114,f192]) ).
fof(f192,plain,
( spl15_5
<=> aElement0(xz) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f114,plain,
aElement0(xz),
inference(cnf_transformation,[],[f76]) ).
fof(f190,plain,
spl15_4,
inference(avatar_split_clause,[],[f102,f187]) ).
fof(f187,plain,
( spl15_4
<=> aIdeal0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f102,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f185,plain,
spl15_3,
inference(avatar_split_clause,[],[f99,f182]) ).
fof(f182,plain,
( spl15_3
<=> aSet0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f99,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f38]) ).
fof(f180,plain,
spl15_2,
inference(avatar_split_clause,[],[f98,f177]) ).
fof(f177,plain,
( spl15_2
<=> aIdeal0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f98,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f38]) ).
fof(f175,plain,
spl15_1,
inference(avatar_split_clause,[],[f95,f172]) ).
fof(f172,plain,
( spl15_1
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f95,plain,
aSet0(xI),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.38 % Computer : n015.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Tue Apr 30 02:30:17 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % (26883)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (26885)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (26888)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.40 % (26886)WARNING: value z3 for option sas not known
% 0.14/0.40 % (26887)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (26890)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.40 % (26889)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40 % (26886)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (26888)First to succeed.
% 0.14/0.40 % (26884)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (26889)Also succeeded, but the first one will report.
% 0.14/0.40 TRYING [1]
% 0.14/0.40 % (26888)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (26888)------------------------------
% 0.14/0.40 % (26888)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (26888)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (26888)Memory used [KB]: 943
% 0.14/0.40 % (26888)Time elapsed: 0.006 s
% 0.14/0.40 % (26888)Instructions burned: 10 (million)
% 0.14/0.40 % (26888)------------------------------
% 0.14/0.40 % (26888)------------------------------
% 0.14/0.40 % (26883)Success in time 0.021 s
%------------------------------------------------------------------------------