TSTP Solution File: RNG105+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG105+1 : 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 : n025.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 14:52:25 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 44
% Syntax : Number of formulae : 202 ( 31 unt; 0 def)
% Number of atoms : 514 ( 59 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 519 ( 207 ~; 220 |; 51 &)
% ( 31 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 25 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 122 ( 105 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1513,plain,
$false,
inference(avatar_sat_refutation,[],[f304,f308,f505,f509,f542,f546,f705,f1305,f1308,f1318,f1321,f1356,f1359,f1390,f1393,f1405,f1408,f1438,f1441,f1462,f1465,f1479,f1482,f1506,f1512]) ).
fof(f1512,plain,
( ~ spl29_5
| spl29_8
| ~ spl29_13 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1511,plain,
( $false
| ~ spl29_5
| spl29_8
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1510,f1350]) ).
fof(f1350,plain,
( sP1(xc)
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1349,plain,
( spl29_13
<=> sP1(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).
fof(f1510,plain,
( ~ sP1(xc)
| ~ spl29_5
| spl29_8 ),
inference(resolution,[],[f1508,f286]) ).
fof(f286,plain,
! [X0] :
( sP0(X0,slsdtgt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( sP0(X0,X1)
| slsdtgt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| slsdtgt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1508,plain,
( ~ sP0(xc,slsdtgt0(xc))
| ~ spl29_5
| spl29_8 ),
inference(resolution,[],[f1141,f704]) ).
fof(f704,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| spl29_8 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f702,plain,
( spl29_8
<=> aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f1141,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(xz,xx),X0)
| ~ sP0(xc,X0) )
| ~ spl29_5 ),
inference(subsumption_resolution,[],[f1053,f536]) ).
fof(f536,plain,
( aElement0(sdtasdt0(xu,xz))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl29_5
<=> aElement0(sdtasdt0(xu,xz)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f1053,plain,
! [X0] :
( aElementOf0(sdtasdt0(xz,xx),X0)
| ~ aElement0(sdtasdt0(xu,xz))
| ~ sP0(xc,X0) ),
inference(superposition,[],[f287,f180]) ).
fof(f180,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2043) ).
fof(f287,plain,
! [X0,X1,X6] :
( aElementOf0(sdtasdt0(X0,X6),X1)
| ~ aElement0(X6)
| ~ sP0(X0,X1) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X6,X5] :
( aElementOf0(X5,X1)
| sdtasdt0(X0,X6) != X5
| ~ aElement0(X6)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK9(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK9(X0,X1),X1) )
& ( ( sK9(X0,X1) = sdtasdt0(X0,sK10(X0,X1))
& aElement0(sK10(X0,X1)) )
| aElementOf0(sK9(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK11(X0,X5)) = X5
& aElement0(sK11(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f124,f127,f126,f125]) ).
fof(f125,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) != sK9(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK9(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK9(X0,X1)
& aElement0(X4) )
| aElementOf0(sK9(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK9(X0,X1)
& aElement0(X4) )
=> ( sK9(X0,X1) = sdtasdt0(X0,sK10(X0,X1))
& aElement0(sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK11(X0,X5)) = X5
& aElement0(sK11(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1] :
( ( sP0(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) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( sP0(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) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( sP0(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) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1506,plain,
( ~ spl29_3
| spl29_7
| ~ spl29_13 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| ~ spl29_3
| spl29_7
| ~ spl29_13 ),
inference(subsumption_resolution,[],[f1504,f1350]) ).
fof(f1504,plain,
( ~ sP1(xc)
| ~ spl29_3
| spl29_7 ),
inference(resolution,[],[f1502,f286]) ).
fof(f1502,plain,
( ~ sP0(xc,slsdtgt0(xc))
| ~ spl29_3
| spl29_7 ),
inference(resolution,[],[f1140,f700]) ).
fof(f700,plain,
( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| spl29_7 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl29_7
<=> aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).
fof(f1140,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(xx,xy),X0)
| ~ sP0(xc,X0) )
| ~ spl29_3 ),
inference(subsumption_resolution,[],[f1052,f499]) ).
fof(f499,plain,
( aElement0(sdtpldt0(xu,xv))
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl29_3
<=> aElement0(sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).
fof(f1052,plain,
! [X0] :
( aElementOf0(sdtpldt0(xx,xy),X0)
| ~ aElement0(sdtpldt0(xu,xv))
| ~ sP0(xc,X0) ),
inference(superposition,[],[f287,f179]) ).
fof(f179,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2010) ).
fof(f1482,plain,
( ~ spl29_1
| spl29_23 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1481,plain,
( $false
| ~ spl29_1
| spl29_23 ),
inference(subsumption_resolution,[],[f1480,f317]) ).
fof(f317,plain,
( aElement0(xy)
| ~ spl29_1 ),
inference(subsumption_resolution,[],[f295,f298]) ).
fof(f298,plain,
( aSet0(slsdtgt0(xc))
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl29_1
<=> aSet0(slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).
fof(f295,plain,
( aElement0(xy)
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f191,f186]) ).
fof(f186,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f191,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f1480,plain,
( ~ aElement0(xy)
| spl29_23 ),
inference(resolution,[],[f1474,f215]) ).
fof(f215,plain,
! [X0] :
( sP1(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( sP1(X0)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f64,f105,f104]) ).
fof(f64,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/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f1474,plain,
( ~ sP1(xy)
| spl29_23 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1472,plain,
( spl29_23
<=> sP1(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_23])]) ).
fof(f1479,plain,
( ~ spl29_23
| spl29_24
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f1295,f297,f1476,f1472]) ).
fof(f1476,plain,
( spl29_24
<=> aElementOf0(sz00,slsdtgt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_24])]) ).
fof(f1295,plain,
( aElementOf0(sz00,slsdtgt0(xy))
| ~ sP1(xy)
| ~ spl29_1 ),
inference(resolution,[],[f1146,f286]) ).
fof(f1146,plain,
( ! [X0] :
( ~ sP0(xy,X0)
| aElementOf0(sz00,X0) )
| ~ spl29_1 ),
inference(subsumption_resolution,[],[f1059,f189]) ).
fof(f189,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f1059,plain,
( ! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xy,X0) )
| ~ spl29_1 ),
inference(superposition,[],[f287,f318]) ).
fof(f318,plain,
( sz00 = sdtasdt0(xy,sz00)
| ~ spl29_1 ),
inference(resolution,[],[f317,f193]) ).
fof(f193,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f1465,plain,
( ~ spl29_2
| spl29_21 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1464,plain,
( $false
| ~ spl29_2
| spl29_21 ),
inference(subsumption_resolution,[],[f1463,f303]) ).
fof(f303,plain,
( aElement0(xx)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl29_2
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).
fof(f1463,plain,
( ~ aElement0(xx)
| spl29_21 ),
inference(resolution,[],[f1457,f215]) ).
fof(f1457,plain,
( ~ sP1(xx)
| spl29_21 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1455,plain,
( spl29_21
<=> sP1(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).
fof(f1462,plain,
( ~ spl29_21
| spl29_22
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f1293,f301,f1459,f1455]) ).
fof(f1459,plain,
( spl29_22
<=> aElementOf0(sz00,slsdtgt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_22])]) ).
fof(f1293,plain,
( aElementOf0(sz00,slsdtgt0(xx))
| ~ sP1(xx)
| ~ spl29_2 ),
inference(resolution,[],[f1144,f286]) ).
fof(f1144,plain,
( ! [X0] :
( ~ sP0(xx,X0)
| aElementOf0(sz00,X0) )
| ~ spl29_2 ),
inference(subsumption_resolution,[],[f1056,f189]) ).
fof(f1056,plain,
( ! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xx,X0) )
| ~ spl29_2 ),
inference(superposition,[],[f287,f313]) ).
fof(f313,plain,
( sz00 = sdtasdt0(xx,sz00)
| ~ spl29_2 ),
inference(resolution,[],[f193,f303]) ).
fof(f1441,plain,
spl29_19,
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| spl29_19 ),
inference(subsumption_resolution,[],[f1439,f181]) ).
fof(f181,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( xy = sdtasdt0(xc,xv)
& aElement0(xv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).
fof(f1439,plain,
( ~ aElement0(xv)
| spl29_19 ),
inference(resolution,[],[f1433,f215]) ).
fof(f1433,plain,
( ~ sP1(xv)
| spl29_19 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1431,plain,
( spl29_19
<=> sP1(xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
fof(f1438,plain,
( ~ spl29_19
| spl29_20 ),
inference(avatar_split_clause,[],[f1167,f1435,f1431]) ).
fof(f1435,plain,
( spl29_20
<=> aElementOf0(sz00,slsdtgt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
fof(f1167,plain,
( aElementOf0(sz00,slsdtgt0(xv))
| ~ sP1(xv) ),
inference(resolution,[],[f1152,f286]) ).
fof(f1152,plain,
! [X0] :
( ~ sP0(xv,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f1068,f189]) ).
fof(f1068,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xv,X0) ),
inference(superposition,[],[f287,f316]) ).
fof(f316,plain,
sz00 = sdtasdt0(xv,sz00),
inference(resolution,[],[f193,f181]) ).
fof(f1408,plain,
spl29_17,
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| spl29_17 ),
inference(subsumption_resolution,[],[f1406,f183]) ).
fof(f183,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(f1406,plain,
( ~ aElement0(xu)
| spl29_17 ),
inference(resolution,[],[f1400,f215]) ).
fof(f1400,plain,
( ~ sP1(xu)
| spl29_17 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1398,plain,
( spl29_17
<=> sP1(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_17])]) ).
fof(f1405,plain,
( ~ spl29_17
| spl29_18 ),
inference(avatar_split_clause,[],[f1165,f1402,f1398]) ).
fof(f1402,plain,
( spl29_18
<=> aElementOf0(sz00,slsdtgt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).
fof(f1165,plain,
( aElementOf0(sz00,slsdtgt0(xu))
| ~ sP1(xu) ),
inference(resolution,[],[f1150,f286]) ).
fof(f1150,plain,
! [X0] :
( ~ sP0(xu,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f1065,f189]) ).
fof(f1065,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xu,X0) ),
inference(superposition,[],[f287,f315]) ).
fof(f315,plain,
sz00 = sdtasdt0(xu,sz00),
inference(resolution,[],[f193,f183]) ).
fof(f1393,plain,
spl29_15,
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1392,plain,
( $false
| spl29_15 ),
inference(subsumption_resolution,[],[f1391,f187]) ).
fof(f187,plain,
aElement0(xz),
inference(cnf_transformation,[],[f39]) ).
fof(f1391,plain,
( ~ aElement0(xz)
| spl29_15 ),
inference(resolution,[],[f1385,f215]) ).
fof(f1385,plain,
( ~ sP1(xz)
| spl29_15 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl29_15
<=> sP1(xz) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_15])]) ).
fof(f1390,plain,
( ~ spl29_15
| spl29_16 ),
inference(avatar_split_clause,[],[f1163,f1387,f1383]) ).
fof(f1387,plain,
( spl29_16
<=> aElementOf0(sz00,slsdtgt0(xz)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_16])]) ).
fof(f1163,plain,
( aElementOf0(sz00,slsdtgt0(xz))
| ~ sP1(xz) ),
inference(resolution,[],[f1148,f286]) ).
fof(f1148,plain,
! [X0] :
( ~ sP0(xz,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f1062,f189]) ).
fof(f1062,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xz,X0) ),
inference(superposition,[],[f287,f314]) ).
fof(f314,plain,
sz00 = sdtasdt0(xz,sz00),
inference(resolution,[],[f193,f187]) ).
fof(f1359,plain,
spl29_13,
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1358,plain,
( $false
| spl29_13 ),
inference(subsumption_resolution,[],[f1357,f178]) ).
fof(f178,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f1357,plain,
( ~ aElement0(xc)
| spl29_13 ),
inference(resolution,[],[f1351,f215]) ).
fof(f1351,plain,
( ~ sP1(xc)
| spl29_13 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1356,plain,
( ~ spl29_13
| spl29_14 ),
inference(avatar_split_clause,[],[f1161,f1353,f1349]) ).
fof(f1353,plain,
( spl29_14
<=> aElementOf0(sz00,slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_14])]) ).
fof(f1161,plain,
( aElementOf0(sz00,slsdtgt0(xc))
| ~ sP1(xc) ),
inference(resolution,[],[f1138,f286]) ).
fof(f1138,plain,
! [X0] :
( ~ sP0(xc,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f1049,f189]) ).
fof(f1049,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ sP0(xc,X0) ),
inference(superposition,[],[f287,f312]) ).
fof(f312,plain,
sz00 = sdtasdt0(xc,sz00),
inference(resolution,[],[f193,f178]) ).
fof(f1321,plain,
spl29_11,
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| spl29_11 ),
inference(subsumption_resolution,[],[f1319,f188]) ).
fof(f188,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f1319,plain,
( ~ aElement0(sz10)
| spl29_11 ),
inference(resolution,[],[f1313,f215]) ).
fof(f1313,plain,
( ~ sP1(sz10)
| spl29_11 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1311,plain,
( spl29_11
<=> sP1(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_11])]) ).
fof(f1318,plain,
( ~ spl29_11
| spl29_12 ),
inference(avatar_split_clause,[],[f1157,f1315,f1311]) ).
fof(f1315,plain,
( spl29_12
<=> aElementOf0(xc,slsdtgt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_12])]) ).
fof(f1157,plain,
( aElementOf0(xc,slsdtgt0(sz10))
| ~ sP1(sz10) ),
inference(resolution,[],[f1100,f286]) ).
fof(f1100,plain,
! [X0] :
( ~ sP0(sz10,X0)
| aElementOf0(xc,X0) ),
inference(subsumption_resolution,[],[f1012,f178]) ).
fof(f1012,plain,
! [X0] :
( aElementOf0(xc,X0)
| ~ aElement0(xc)
| ~ sP0(sz10,X0) ),
inference(superposition,[],[f287,f358]) ).
fof(f358,plain,
xc = sdtasdt0(sz10,xc),
inference(resolution,[],[f198,f178]) ).
fof(f198,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(f1308,plain,
spl29_9,
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1307,plain,
( $false
| spl29_9 ),
inference(subsumption_resolution,[],[f1306,f189]) ).
fof(f1306,plain,
( ~ aElement0(sz00)
| spl29_9 ),
inference(resolution,[],[f1300,f215]) ).
fof(f1300,plain,
( ~ sP1(sz00)
| spl29_9 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1298,plain,
( spl29_9
<=> sP1(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).
fof(f1305,plain,
( ~ spl29_9
| spl29_10 ),
inference(avatar_split_clause,[],[f1156,f1302,f1298]) ).
fof(f1302,plain,
( spl29_10
<=> aElementOf0(sz00,slsdtgt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_10])]) ).
fof(f1156,plain,
( aElementOf0(sz00,slsdtgt0(sz00))
| ~ sP1(sz00) ),
inference(resolution,[],[f1090,f286]) ).
fof(f1090,plain,
! [X0] :
( ~ sP0(sz00,X0)
| aElementOf0(sz00,X0) ),
inference(subsumption_resolution,[],[f995,f178]) ).
fof(f995,plain,
! [X0] :
( aElementOf0(sz00,X0)
| ~ aElement0(xc)
| ~ sP0(sz00,X0) ),
inference(superposition,[],[f287,f322]) ).
fof(f322,plain,
sz00 = sdtasdt0(sz00,xc),
inference(resolution,[],[f194,f178]) ).
fof(f194,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f705,plain,
( ~ spl29_7
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f177,f702,f698]) ).
fof(f177,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f546,plain,
spl29_5,
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f545,plain,
( $false
| spl29_5 ),
inference(subsumption_resolution,[],[f544,f183]) ).
fof(f544,plain,
( ~ aElement0(xu)
| spl29_5 ),
inference(subsumption_resolution,[],[f543,f187]) ).
fof(f543,plain,
( ~ aElement0(xz)
| ~ aElement0(xu)
| spl29_5 ),
inference(resolution,[],[f537,f262]) ).
fof(f262,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f537,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| spl29_5 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f542,plain,
( ~ spl29_5
| spl29_6 ),
inference(avatar_split_clause,[],[f530,f539,f535]) ).
fof(f539,plain,
( spl29_6
<=> aElement0(sdtasdt0(xz,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
fof(f530,plain,
( aElement0(sdtasdt0(xz,xx))
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(subsumption_resolution,[],[f529,f178]) ).
fof(f529,plain,
( aElement0(sdtasdt0(xz,xx))
| ~ aElement0(sdtasdt0(xu,xz))
| ~ aElement0(xc) ),
inference(superposition,[],[f262,f180]) ).
fof(f509,plain,
spl29_3,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl29_3 ),
inference(subsumption_resolution,[],[f507,f183]) ).
fof(f507,plain,
( ~ aElement0(xu)
| spl29_3 ),
inference(subsumption_resolution,[],[f506,f181]) ).
fof(f506,plain,
( ~ aElement0(xv)
| ~ aElement0(xu)
| spl29_3 ),
inference(resolution,[],[f500,f261]) ).
fof(f261,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f500,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| spl29_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f505,plain,
( ~ spl29_3
| spl29_4 ),
inference(avatar_split_clause,[],[f490,f502,f498]) ).
fof(f502,plain,
( spl29_4
<=> aElement0(sdtpldt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).
fof(f490,plain,
( aElement0(sdtpldt0(xx,xy))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(subsumption_resolution,[],[f489,f178]) ).
fof(f489,plain,
( aElement0(sdtpldt0(xx,xy))
| ~ aElement0(sdtpldt0(xu,xv))
| ~ aElement0(xc) ),
inference(superposition,[],[f262,f179]) ).
fof(f308,plain,
spl29_1,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| spl29_1 ),
inference(subsumption_resolution,[],[f306,f178]) ).
fof(f306,plain,
( ~ aElement0(xc)
| spl29_1 ),
inference(resolution,[],[f305,f215]) ).
fof(f305,plain,
( ~ sP1(xc)
| spl29_1 ),
inference(resolution,[],[f299,f293]) ).
fof(f293,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f286,f208]) ).
fof(f208,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| aSet0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f299,plain,
( ~ aSet0(slsdtgt0(xc))
| spl29_1 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f304,plain,
( ~ spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f294,f301,f297]) ).
fof(f294,plain,
( aElement0(xx)
| ~ aSet0(slsdtgt0(xc)) ),
inference(resolution,[],[f191,f185]) ).
fof(f185,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG105+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n025.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
% 0.15/0.36 % DateTime : Tue Apr 30 02:24:56 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (4270)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (4273)WARNING: value z3 for option sas not known
% 0.15/0.39 % (4272)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (4277)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)
% 0.15/0.39 % (4276)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)
% 0.15/0.39 % (4275)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)
% 0.15/0.39 % (4274)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (4271)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (4273)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.15/0.41 TRYING [2]
% 0.15/0.42 TRYING [3]
% 0.15/0.42 TRYING [3]
% 0.22/0.45 % (4273)First to succeed.
% 0.22/0.46 % (4273)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (4273)------------------------------
% 0.22/0.46 % (4273)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.46 % (4273)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (4273)Memory used [KB]: 1774
% 0.22/0.46 % (4273)Time elapsed: 0.069 s
% 0.22/0.46 % (4273)Instructions burned: 98 (million)
% 0.22/0.46 % (4273)------------------------------
% 0.22/0.46 % (4273)------------------------------
% 0.22/0.46 % (4270)Success in time 0.097 s
%------------------------------------------------------------------------------