TSTP Solution File: NUM462+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM462+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 13:15:09 EDT 2024
% Result : Theorem 3.95s 0.99s
% Output : Refutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 125 ( 11 unt; 0 def)
% Number of atoms : 469 ( 72 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 630 ( 286 ~; 286 |; 35 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 96 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1812,plain,
$false,
inference(avatar_sat_refutation,[],[f141,f160,f164,f1353,f1385,f1439,f1519,f1670,f1811]) ).
fof(f1811,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1810,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f1809,f73]) ).
fof(f73,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1809,plain,
( ~ aNaturalNumber0(xl)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f1804,f76]) ).
fof(f76,plain,
xl != xn,
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
( sdtlseqdt0(xl,xn)
& xl != xn
& sz00 != xm ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1804,plain,
( xl = xn
| ~ aNaturalNumber0(xl)
| ~ spl1_1 ),
inference(equality_resolution,[],[f1699]) ).
fof(f1699,plain,
( ! [X0] :
( sdtasdt0(xm,xl) != sdtasdt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f1698,f72]) ).
fof(f72,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f1698,plain,
( ! [X0] :
( sdtasdt0(xm,xl) != sdtasdt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f1697,f75]) ).
fof(f75,plain,
sz00 != xm,
inference(cnf_transformation,[],[f26]) ).
fof(f1697,plain,
( ! [X0] :
( sdtasdt0(xm,xl) != sdtasdt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f1679,f74]) ).
fof(f74,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f25]) ).
fof(f1679,plain,
( ! [X0] :
( sdtasdt0(xm,xl) != sdtasdt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| sz00 = xm
| ~ aNaturalNumber0(xm) )
| ~ spl1_1 ),
inference(superposition,[],[f99,f128]) ).
fof(f128,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl1_1
<=> sdtasdt0(xm,xl) = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f99,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1670,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f1595,f134,f126]) ).
fof(f134,plain,
( spl1_3
<=> sdtasdt0(xl,xm) = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f1595,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f1594,f72]) ).
fof(f1594,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f1579,f73]) ).
fof(f1579,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ spl1_3 ),
inference(superposition,[],[f1537,f97]) ).
fof(f97,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1537,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xl,xm)
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f1536,f72]) ).
fof(f1536,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xl,xm)
| ~ aNaturalNumber0(xm)
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f1521,f74]) ).
fof(f1521,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xl,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl1_3 ),
inference(superposition,[],[f136,f97]) ).
fof(f136,plain,
( sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f1519,plain,
( ~ spl1_2
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1518,plain,
( $false
| ~ spl1_2
| spl1_4 ),
inference(subsumption_resolution,[],[f1517,f74]) ).
fof(f1517,plain,
( ~ aNaturalNumber0(xn)
| ~ spl1_2
| spl1_4 ),
inference(subsumption_resolution,[],[f1516,f72]) ).
fof(f1516,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ spl1_2
| spl1_4 ),
inference(subsumption_resolution,[],[f1509,f131]) ).
fof(f131,plain,
( sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl1_2
<=> sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f1509,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl1_4 ),
inference(superposition,[],[f1469,f97]) ).
fof(f1469,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xn,xm))
| spl1_4 ),
inference(subsumption_resolution,[],[f1468,f72]) ).
fof(f1468,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| spl1_4 ),
inference(subsumption_resolution,[],[f1462,f73]) ).
fof(f1462,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| spl1_4 ),
inference(superposition,[],[f140,f97]) ).
fof(f140,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| spl1_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl1_4
<=> sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f1439,plain,
( ~ spl1_13
| spl1_14 ),
inference(avatar_contradiction_clause,[],[f1438]) ).
fof(f1438,plain,
( $false
| ~ spl1_13
| spl1_14 ),
inference(subsumption_resolution,[],[f1437,f72]) ).
fof(f1437,plain,
( ~ aNaturalNumber0(xm)
| ~ spl1_13
| spl1_14 ),
inference(subsumption_resolution,[],[f1436,f1347]) ).
fof(f1347,plain,
( aNaturalNumber0(sK0(xl,xn))
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1346,plain,
( spl1_13
<=> aNaturalNumber0(sK0(xl,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f1436,plain,
( ~ aNaturalNumber0(sK0(xl,xn))
| ~ aNaturalNumber0(xm)
| spl1_14 ),
inference(resolution,[],[f1352,f107]) ).
fof(f107,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1352,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,xn)))
| spl1_14 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1350,plain,
( spl1_14
<=> aNaturalNumber0(sdtasdt0(xm,sK0(xl,xn))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f1385,plain,
spl1_13,
inference(avatar_contradiction_clause,[],[f1384]) ).
fof(f1384,plain,
( $false
| spl1_13 ),
inference(subsumption_resolution,[],[f1383,f73]) ).
fof(f1383,plain,
( ~ aNaturalNumber0(xl)
| spl1_13 ),
inference(subsumption_resolution,[],[f1382,f74]) ).
fof(f1382,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| spl1_13 ),
inference(subsumption_resolution,[],[f1381,f77]) ).
fof(f77,plain,
sdtlseqdt0(xl,xn),
inference(cnf_transformation,[],[f26]) ).
fof(f1381,plain,
( ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| spl1_13 ),
inference(resolution,[],[f1348,f84]) ).
fof(f84,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1348,plain,
( ~ aNaturalNumber0(sK0(xl,xn))
| spl1_13 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1353,plain,
( ~ spl1_13
| ~ spl1_14
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f1322,f149,f145,f130,f1350,f1346]) ).
fof(f145,plain,
( spl1_5
<=> aNaturalNumber0(sdtasdt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f149,plain,
( spl1_6
<=> aNaturalNumber0(sdtasdt0(xm,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f1322,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,xn)))
| ~ aNaturalNumber0(sK0(xl,xn))
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f1321,f74]) ).
fof(f1321,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,xn)))
| ~ aNaturalNumber0(sK0(xl,xn))
| ~ aNaturalNumber0(xn)
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f1320,f77]) ).
fof(f1320,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,xn)))
| ~ aNaturalNumber0(sK0(xl,xn))
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f1318,f146]) ).
fof(f146,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f1318,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,xn)))
| ~ aNaturalNumber0(sK0(xl,xn))
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(duplicate_literal_removal,[],[f1303]) ).
fof(f1303,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,xn)))
| ~ aNaturalNumber0(sK0(xl,xn))
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f446,f106]) ).
fof(f106,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f446,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,X0)))
| ~ aNaturalNumber0(sK0(xl,X0))
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(X0) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f437,f73]) ).
fof(f437,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0(xl,X0)))
| ~ aNaturalNumber0(sK0(xl,X0))
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(superposition,[],[f262,f85]) ).
fof(f85,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f262,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xm,sdtpldt0(xl,X0)),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,X0)))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f261,f72]) ).
fof(f261,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xm,sdtpldt0(xl,X0)),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,X0)))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f247,f73]) ).
fof(f247,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xm,sdtpldt0(xl,X0)),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,X0)))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(superposition,[],[f193,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f193,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xl),X0),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xl),X0))
| ~ aNaturalNumber0(X0) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f186,f150]) ).
fof(f150,plain,
( aNaturalNumber0(sdtasdt0(xm,xl))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f186,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xl),X0),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xl),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl)) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(duplicate_literal_removal,[],[f185]) ).
fof(f185,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xl),X0),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xl),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xl),X0))
| ~ aNaturalNumber0(sdtasdt0(xm,xl)) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f167,f114]) ).
fof(f114,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f167,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xm,xl),X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0) )
| spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f166,f150]) ).
fof(f166,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xl),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl)) )
| spl1_2
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f142,f146]) ).
fof(f142,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xl),X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl)) )
| spl1_2 ),
inference(resolution,[],[f132,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f132,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| spl1_2 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f164,plain,
spl1_6,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| spl1_6 ),
inference(subsumption_resolution,[],[f162,f72]) ).
fof(f162,plain,
( ~ aNaturalNumber0(xm)
| spl1_6 ),
inference(subsumption_resolution,[],[f161,f73]) ).
fof(f161,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| spl1_6 ),
inference(resolution,[],[f151,f107]) ).
fof(f151,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xl))
| spl1_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f160,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| spl1_5 ),
inference(subsumption_resolution,[],[f158,f72]) ).
fof(f158,plain,
( ~ aNaturalNumber0(xm)
| spl1_5 ),
inference(subsumption_resolution,[],[f157,f74]) ).
fof(f157,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl1_5 ),
inference(resolution,[],[f147,f107]) ).
fof(f147,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| spl1_5 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f141,plain,
( spl1_1
| ~ spl1_2
| spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f71,f138,f134,f130,f126]) ).
fof(f71,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| sdtasdt0(xm,xl) = sdtasdt0(xm,xn) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| sdtasdt0(xm,xl) = sdtasdt0(xm,xn) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
& sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
& sdtasdt0(xm,xl) != sdtasdt0(xm,xn) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
& sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
& sdtasdt0(xm,xl) != sdtasdt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM462+1 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Jun 22 19:51:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.44 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (12589)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.24/0.44 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (12588)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.24/0.44 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (12590)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.24/0.44 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (12587)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.24/0.45 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (12586)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.24/0.45 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (12591)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.24/0.45 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (12585)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.24/0.48 % (12589)Instruction limit reached!
% 0.24/0.48 % (12589)------------------------------
% 0.24/0.48 % (12589)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.48 % (12589)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.48 % (12589)Termination reason: Time limit
% 0.24/0.48 % (12589)Termination phase: Saturation
% 0.24/0.48
% 0.24/0.48 % (12589)Memory used [KB]: 1878
% 0.24/0.48 % (12589)Time elapsed: 0.041 s
% 0.24/0.48 % (12589)Instructions burned: 122 (million)
% 0.24/0.48 % (12590)Instruction limit reached!
% 0.24/0.48 % (12590)------------------------------
% 0.24/0.48 % (12590)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.48 % (12590)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.48 % (12590)Termination reason: Time limit
% 0.24/0.48 % (12590)Termination phase: Saturation
% 0.24/0.48
% 0.24/0.48 % (12590)Memory used [KB]: 2056
% 0.24/0.48 % (12590)Time elapsed: 0.044 s
% 0.24/0.48 % (12590)Instructions burned: 114 (million)
% 0.24/0.49 % (12588)Instruction limit reached!
% 0.24/0.49 % (12588)------------------------------
% 0.24/0.49 % (12588)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.49 % (12588)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.49 % (12588)Termination reason: Time limit
% 0.24/0.49 % (12588)Termination phase: Saturation
% 0.24/0.49
% 0.24/0.49 % (12588)Memory used [KB]: 2467
% 0.24/0.49 % (12588)Time elapsed: 0.056 s
% 0.24/0.49 % (12588)Instructions burned: 103 (million)
% 0.24/0.51 % (12591)Instruction limit reached!
% 0.24/0.51 % (12591)------------------------------
% 0.24/0.51 % (12591)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.51 % (12591)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.51 % (12591)Termination reason: Time limit
% 0.24/0.51 % (12591)Termination phase: Saturation
% 0.24/0.51
% 0.24/0.51 % (12591)Memory used [KB]: 2591
% 0.24/0.51 % (12591)Time elapsed: 0.068 s
% 0.24/0.51 % (12591)Instructions burned: 131 (million)
% 0.24/0.52 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.52 % (12592)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2999ds/123Mi)
% 0.24/0.52 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.52 % (12593)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2999ds/205Mi)
% 0.24/0.53 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.53 % (12594)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 0.24/0.55 % (12584)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.55 % (12595)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 0.24/0.55 % (12592)Instruction limit reached!
% 0.24/0.55 % (12592)------------------------------
% 0.24/0.55 % (12592)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.55 % (12592)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.55 % (12592)Termination reason: Time limit
% 0.24/0.55 % (12592)Termination phase: Saturation
% 0.24/0.55
% 0.24/0.55 % (12592)Memory used [KB]: 1691
% 0.24/0.55 % (12592)Time elapsed: 0.038 s
% 0.24/0.55 % (12592)Instructions burned: 125 (million)
% 1.35/0.59 % (12584)Running in auto input_syntax mode. Trying TPTP
% 1.35/0.59 % (12596)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2998ds/113Mi)
% 1.56/0.60 % (12595)Instruction limit reached!
% 1.56/0.60 % (12595)------------------------------
% 1.56/0.60 % (12595)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.60 % (12595)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.60 % (12595)Termination reason: Time limit
% 1.56/0.60 % (12595)Termination phase: Saturation
% 1.56/0.60
% 1.56/0.60 % (12595)Memory used [KB]: 4757
% 1.56/0.60 % (12595)Time elapsed: 0.051 s
% 1.56/0.60 % (12595)Instructions burned: 145 (million)
% 1.56/0.62 % (12593)Instruction limit reached!
% 1.56/0.62 % (12593)------------------------------
% 1.56/0.62 % (12593)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.62 % (12593)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.62 % (12593)Termination reason: Time limit
% 1.56/0.62 % (12593)Termination phase: Saturation
% 1.56/0.62
% 1.56/0.62 % (12593)Memory used [KB]: 3414
% 1.56/0.62 % (12593)Time elapsed: 0.097 s
% 1.56/0.62 % (12593)Instructions burned: 205 (million)
% 1.56/0.62 % (12596)Instruction limit reached!
% 1.56/0.62 % (12596)------------------------------
% 1.56/0.62 % (12596)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.62 % (12596)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.62 % (12596)Termination reason: Time limit
% 1.56/0.62 % (12596)Termination phase: Saturation
% 1.56/0.62
% 1.56/0.62 % (12596)Memory used [KB]: 2319
% 1.56/0.62 % (12596)Time elapsed: 0.037 s
% 1.56/0.62 % (12596)Instructions burned: 115 (million)
% 1.56/0.63 % (12594)Instruction limit reached!
% 1.56/0.63 % (12594)------------------------------
% 1.56/0.63 % (12594)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.63 % (12594)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.63 % (12594)Termination reason: Time limit
% 1.56/0.63 % (12594)Termination phase: Saturation
% 1.56/0.63
% 1.56/0.63 % (12594)Memory used [KB]: 2364
% 1.56/0.63 % (12594)Time elapsed: 0.098 s
% 1.56/0.63 % (12594)Instructions burned: 181 (million)
% 1.56/0.64 % (12584)Running in auto input_syntax mode. Trying TPTP
% 1.56/0.64 % (12597)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2997ds/113Mi)
% 1.88/0.65 % (12584)Running in auto input_syntax mode. Trying TPTP
% 1.88/0.65 % (12599)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2997ds/253Mi)
% 1.88/0.67 % (12584)Running in auto input_syntax mode. Trying TPTP
% 1.88/0.67 % (12600)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=150:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2997ds/150Mi)
% 1.88/0.67 % (12584)Running in auto input_syntax mode. Trying TPTP
% 1.88/0.67 % (12598)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2997ds/114Mi)
% 1.88/0.67 % (12597)Instruction limit reached!
% 1.88/0.67 % (12597)------------------------------
% 1.88/0.67 % (12597)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.88/0.67 % (12597)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.88/0.67 % (12597)Termination reason: Time limit
% 1.88/0.67 % (12597)Termination phase: Saturation
% 1.88/0.67
% 1.88/0.67 % (12597)Memory used [KB]: 2166
% 1.88/0.67 % (12597)Time elapsed: 0.039 s
% 1.88/0.67 % (12597)Instructions burned: 114 (million)
% 2.10/0.71 % (12584)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.71 % (12601)lrs+1010_1:1_tgt=ground:fde=unused:sp=const_frequency:nwc=5.0:sac=on:avsq=on:i=196:avsqr=1,8:fsd=on:sil=64000:gs=on:rnwc=on_0 on theBenchmark for (2997ds/196Mi)
% 2.10/0.73 % (12599)Instruction limit reached!
% 2.10/0.73 % (12599)------------------------------
% 2.10/0.73 % (12599)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.73 % (12599)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.73 % (12599)Termination reason: Time limit
% 2.10/0.73 % (12599)Termination phase: Saturation
% 2.10/0.73
% 2.10/0.73 % (12599)Memory used [KB]: 2798
% 2.10/0.73 % (12599)Time elapsed: 0.079 s
% 2.10/0.73 % (12599)Instructions burned: 253 (million)
% 2.10/0.73 % (12598)Instruction limit reached!
% 2.10/0.73 % (12598)------------------------------
% 2.10/0.73 % (12598)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.73 % (12598)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.73 % (12598)Termination reason: Time limit
% 2.10/0.73 % (12598)Termination phase: Saturation
% 2.10/0.73
% 2.10/0.73 % (12598)Memory used [KB]: 2347
% 2.10/0.73 % (12598)Time elapsed: 0.061 s
% 2.10/0.73 % (12598)Instructions burned: 115 (million)
% 2.10/0.74 % (12600)Instruction limit reached!
% 2.10/0.74 % (12600)------------------------------
% 2.10/0.74 % (12600)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.10/0.74 % (12600)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.10/0.74 % (12600)Termination reason: Time limit
% 2.10/0.74 % (12600)Termination phase: Saturation
% 2.10/0.74
% 2.10/0.74 % (12600)Memory used [KB]: 4115
% 2.10/0.74 % (12600)Time elapsed: 0.070 s
% 2.10/0.74 % (12600)Instructions burned: 151 (million)
% 2.58/0.77 % (12601)Instruction limit reached!
% 2.58/0.77 % (12601)------------------------------
% 2.58/0.77 % (12601)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.58/0.77 % (12601)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.58/0.77 % (12601)Termination reason: Time limit
% 2.58/0.77 % (12601)Termination phase: Saturation
% 2.58/0.77
% 2.58/0.77 % (12601)Memory used [KB]: 1798
% 2.58/0.77 % (12601)Time elapsed: 0.056 s
% 2.58/0.77 % (12601)Instructions burned: 197 (million)
% 2.58/0.77 % (12584)Running in auto input_syntax mode. Trying TPTP
% 2.58/0.77 % (12603)lrs+1002_1:1_sil=4000:i=107:sd=2:ep=RS:av=off:ss=axioms:sos=on:erd=off_0 on theBenchmark for (2996ds/107Mi)
% 2.58/0.78 % (12584)Running in auto input_syntax mode. Trying TPTP
% 2.58/0.78 % (12605)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=147:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2996ds/147Mi)
% 2.58/0.78 % (12584)Running in auto input_syntax mode. Trying TPTP
% 2.58/0.78 % (12604)lrs+10_1:1024_sil=2000:st=2.0:i=107:sd=2:ss=included:ep=R_0 on theBenchmark for (2996ds/107Mi)
% 2.58/0.80 % (12603)Instruction limit reached!
% 2.58/0.80 % (12603)------------------------------
% 2.58/0.80 % (12603)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.58/0.80 % (12603)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.58/0.80 % (12603)Termination reason: Time limit
% 2.58/0.80 % (12603)Termination phase: Saturation
% 2.58/0.80
% 2.58/0.80 % (12603)Memory used [KB]: 1400
% 2.58/0.80 % (12603)Time elapsed: 0.027 s
% 2.58/0.80 % (12603)Instructions burned: 108 (million)
% 2.58/0.80 % (12584)Running in auto input_syntax mode. Trying TPTP
% 2.58/0.80 % (12608)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=116:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2996ds/116Mi)
% 2.58/0.81 % (12604)Instruction limit reached!
% 2.58/0.81 % (12604)------------------------------
% 2.58/0.81 % (12604)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.58/0.81 % (12604)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.58/0.81 % (12604)Termination reason: Time limit
% 2.58/0.81 % (12604)Termination phase: Saturation
% 2.58/0.81
% 2.58/0.81 % (12604)Memory used [KB]: 1739
% 2.58/0.81 % (12604)Time elapsed: 0.030 s
% 2.58/0.81 % (12604)Instructions burned: 107 (million)
% 2.58/0.83 % (12605)Instruction limit reached!
% 2.58/0.83 % (12605)------------------------------
% 2.58/0.83 % (12605)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.58/0.83 % (12605)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.58/0.83 % (12605)Termination reason: Time limit
% 2.58/0.83 % (12605)Termination phase: Saturation
% 2.58/0.83
% 2.58/0.83 % (12605)Memory used [KB]: 2630
% 2.58/0.83 % (12605)Time elapsed: 0.053 s
% 2.58/0.83 % (12605)Instructions burned: 147 (million)
% 2.58/0.83 % (12584)Running in auto input_syntax mode. Trying TPTP
% 2.58/0.83 % (12620)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=304:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2995ds/304Mi)
% 2.58/0.84 % (12584)Running in auto input_syntax mode. Trying TPTP
% 2.58/0.84 % (12626)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=135:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/135Mi)
% 2.58/0.84 % (12608)Instruction limit reached!
% 2.58/0.84 % (12608)------------------------------
% 2.58/0.84 % (12608)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.58/0.84 % (12608)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.58/0.84 % (12608)Termination reason: Time limit
% 2.58/0.84 % (12608)Termination phase: Saturation
% 2.58/0.84
% 2.58/0.84 % (12608)Memory used [KB]: 3908
% 2.58/0.84 % (12608)Time elapsed: 0.043 s
% 2.58/0.84 % (12608)Instructions burned: 117 (million)
% 3.27/0.86 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.27/0.86 WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 3.27/0.86 % (12633)dis+1010_1:1_sil=2000:urr=on:lcm=predicate:i=261:ile=on:gs=on:br=off_0 on theBenchmark for (2995ds/261Mi)
% 3.27/0.88 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.27/0.88 % (12641)lrs+21_1:1_to=lpo:sil=2000:sp=const_min:st=3.0:i=109:sd=1:erml=4:ss=axioms:er=filter:alpa=true:amm=sco:bd=off_0 on theBenchmark for (2995ds/109Mi)
% 3.27/0.88 % (12626)Instruction limit reached!
% 3.27/0.88 % (12626)------------------------------
% 3.27/0.88 % (12626)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.27/0.88 % (12626)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.27/0.88 % (12626)Termination reason: Time limit
% 3.27/0.88 % (12626)Termination phase: Saturation
% 3.27/0.88
% 3.27/0.88 % (12626)Memory used [KB]: 1403
% 3.27/0.88 % (12626)Time elapsed: 0.042 s
% 3.27/0.88 % (12626)Instructions burned: 137 (million)
% 3.50/0.91 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.50/0.91 % (12656)dis+1011_5:1_sil=2000:fde=unused:nwc=10.0:i=118:ep=R:fs=off:fsr=off:awrs=converge_0 on theBenchmark for (2995ds/118Mi)
% 3.50/0.91 % (12641)Instruction limit reached!
% 3.50/0.91 % (12641)------------------------------
% 3.50/0.91 % (12641)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.50/0.91 % (12641)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.50/0.91 % (12641)Termination reason: Time limit
% 3.50/0.91 % (12641)Termination phase: Saturation
% 3.50/0.91
% 3.50/0.91 % (12641)Memory used [KB]: 2268
% 3.50/0.91 % (12641)Time elapsed: 0.036 s
% 3.50/0.91 % (12641)Instructions burned: 111 (million)
% 3.50/0.91 % (12620)Instruction limit reached!
% 3.50/0.91 % (12620)------------------------------
% 3.50/0.91 % (12620)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.50/0.91 % (12620)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.50/0.91 % (12620)Termination reason: Time limit
% 3.50/0.91 % (12620)Termination phase: Saturation
% 3.50/0.91
% 3.50/0.91 % (12620)Memory used [KB]: 6186
% 3.50/0.91 % (12620)Time elapsed: 0.086 s
% 3.50/0.91 % (12620)Instructions burned: 306 (million)
% 3.50/0.93 % (12633)Instruction limit reached!
% 3.50/0.93 % (12633)------------------------------
% 3.50/0.93 % (12633)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.50/0.93 % (12633)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.50/0.93 % (12633)Termination reason: Time limit
% 3.50/0.93 % (12633)Termination phase: Saturation
% 3.50/0.93
% 3.50/0.93 % (12633)Memory used [KB]: 8330
% 3.50/0.93 % (12633)Time elapsed: 0.070 s
% 3.50/0.93 % (12633)Instructions burned: 265 (million)
% 3.95/0.95 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.95/0.95 % (12669)lrs-21_1:1_sil=4000:sos=on:lcm=predicate:i=109:sd=2:ss=axioms_0 on theBenchmark for (2994ds/109Mi)
% 3.95/0.95 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.95/0.95 % (12670)lrs+32_1:128_drc=off:sil=2000:tgt=ground:flr=on:i=119:fsr=off_0 on theBenchmark for (2994ds/119Mi)
% 3.95/0.95 % (12656)Instruction limit reached!
% 3.95/0.95 % (12656)------------------------------
% 3.95/0.95 % (12656)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.95/0.95 % (12656)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.95/0.95 % (12656)Termination reason: Time limit
% 3.95/0.95 % (12656)Termination phase: Saturation
% 3.95/0.95
% 3.95/0.95 % (12656)Memory used [KB]: 3695
% 3.95/0.95 % (12656)Time elapsed: 0.040 s
% 3.95/0.95 % (12656)Instructions burned: 118 (million)
% 3.95/0.96 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.95/0.96 % (12678)dis+1002_1:1_sil=2000:sos=on:sac=on:st=5.0:i=213:ss=axioms_0 on theBenchmark for (2994ds/213Mi)
% 3.95/0.98 % (12669)Instruction limit reached!
% 3.95/0.98 % (12669)------------------------------
% 3.95/0.98 % (12669)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.95/0.98 % (12669)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.95/0.98 % (12669)Termination reason: Time limit
% 3.95/0.98 % (12669)Termination phase: Saturation
% 3.95/0.98
% 3.95/0.98 % (12669)Memory used [KB]: 2147
% 3.95/0.98 % (12669)Time elapsed: 0.036 s
% 3.95/0.98 % (12669)Instructions burned: 109 (million)
% 3.95/0.98 % (12670)Instruction limit reached!
% 3.95/0.98 % (12670)------------------------------
% 3.95/0.98 % (12670)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.95/0.98 % (12670)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.95/0.98 % (12670)Termination reason: Time limit
% 3.95/0.98 % (12670)Termination phase: Saturation
% 3.95/0.98
% 3.95/0.98 % (12670)Memory used [KB]: 3217
% 3.95/0.98 % (12670)Time elapsed: 0.038 s
% 3.95/0.98 % (12670)Instructions burned: 120 (million)
% 3.95/0.98 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.95/0.98 % (12691)dis+10_78677:524288_anc=all_dependent:sil=4000:irw=on:fde=unused:plsq=on:plsqr=4929279,131072:etr=on:sp=const_max:sos=all:spb=goal_then_units:lcm=predicate:fd=off:nwc=6.051592140664891:i=126:sd=3:kws=inv_arity_squared:afp=40000:bd=off:nm=6:afq=1.82720764930041:ss=axioms:rawr=on:bsr=on:newcnf=on:bs=unit_only:abs=on:ins=4:gsp=on:rnwc=on:awrs=decay:awrsf=179:s2a=on:s2agt=10:s2at=4.0:st=5.0:foolp=on:afr=on_0 on theBenchmark for (2994ds/126Mi)
% 3.95/0.99 % (12678)First to succeed.
% 3.95/0.99 % (12678)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12584"
% 3.95/0.99 % (12584)Running in auto input_syntax mode. Trying TPTP
% 3.95/0.99 % (12678)Refutation found. Thanks to Tanya!
% 3.95/0.99 % SZS status Theorem for theBenchmark
% 3.95/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 3.95/0.99 % (12678)------------------------------
% 3.95/0.99 % (12678)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.95/0.99 % (12678)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.95/0.99 % (12678)Termination reason: Refutation
% 3.95/0.99
% 3.95/0.99 % (12678)Memory used [KB]: 1693
% 3.95/0.99 % (12678)Time elapsed: 0.024 s
% 3.95/0.99 % (12678)Instructions burned: 76 (million)
% 3.95/0.99 % (12678)------------------------------
% 3.95/0.99 % (12678)------------------------------
% 3.95/0.99 % (12584)Success in time 0.588 s
%------------------------------------------------------------------------------