TSTP Solution File: NUM462+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM462+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:12:15 EDT 2024
% Result : Theorem 0.82s 0.80s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 82 ( 14 unt; 0 def)
% Number of atoms : 293 ( 100 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 376 ( 165 ~; 146 |; 47 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 88 ( 80 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1451,plain,
$false,
inference(avatar_sat_refutation,[],[f160,f251,f1203,f1402,f1414,f1436]) ).
fof(f1436,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1419,plain,
( $false
| ~ spl2_1 ),
inference(unit_resulting_resolution,[],[f78,f79,f80,f81,f82,f138,f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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,[],[f36]) ).
fof(f36,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/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',mMulCanc) ).
fof(f138,plain,
( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl2_1
<=> sdtasdt0(xm,xl) = sdtasdt0(xm,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f82,plain,
xl != xn,
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( sdtlseqdt0(xl,xn)
& xn = sdtpldt0(xl,sK0)
& aNaturalNumber0(sK0)
& xl != xn
& sz00 != xm ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f70]) ).
fof(f70,plain,
( ? [X0] :
( xn = sdtpldt0(xl,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtpldt0(xl,sK0)
& aNaturalNumber0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
( sdtlseqdt0(xl,xn)
& ? [X0] :
( xn = sdtpldt0(xl,X0)
& aNaturalNumber0(X0) )
& xl != xn
& sz00 != xm ),
file('/export/starexec/sandbox/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',m__897_03) ).
fof(f81,plain,
sz00 != xm,
inference(cnf_transformation,[],[f71]) ).
fof(f80,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',m__897) ).
fof(f79,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f25]) ).
fof(f78,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f1414,plain,
( spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f1413,f157,f153]) ).
fof(f153,plain,
( spl2_5
<=> ! [X1] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f157,plain,
( spl2_6
<=> ! [X0] :
( sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f1413,plain,
( ! [X0] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f1412,f78]) ).
fof(f1412,plain,
( ! [X0] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f516,f79]) ).
fof(f516,plain,
( ! [X0] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) )
| ~ spl2_6 ),
inference(superposition,[],[f370,f127]) ).
fof(f127,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,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/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',mMulComm) ).
fof(f370,plain,
( ! [X0] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f369,f78]) ).
fof(f369,plain,
( ! [X0] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f359,f80]) ).
fof(f359,plain,
( ! [X0] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) )
| ~ spl2_6 ),
inference(superposition,[],[f158,f127]) ).
fof(f158,plain,
( ! [X0] :
( sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f1402,plain,
spl2_32,
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| spl2_32 ),
inference(subsumption_resolution,[],[f1400,f78]) ).
fof(f1400,plain,
( ~ aNaturalNumber0(xm)
| spl2_32 ),
inference(subsumption_resolution,[],[f1398,f399]) ).
fof(f399,plain,
aNaturalNumber0(sdtmndt0(xn,xl)),
inference(superposition,[],[f83,f232]) ).
fof(f232,plain,
sK0 = sdtmndt0(xn,xl),
inference(subsumption_resolution,[],[f231,f79]) ).
fof(f231,plain,
( sK0 = sdtmndt0(xn,xl)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f230,f80]) ).
fof(f230,plain,
( sK0 = sdtmndt0(xn,xl)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f229,f85]) ).
fof(f85,plain,
sdtlseqdt0(xl,xn),
inference(cnf_transformation,[],[f71]) ).
fof(f229,plain,
( sK0 = sdtmndt0(xn,xl)
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f183,f83]) ).
fof(f183,plain,
( sK0 = sdtmndt0(xn,xl)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f130,f84]) ).
fof(f84,plain,
xn = sdtpldt0(xl,sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f130,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',mDefDiff) ).
fof(f83,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f1398,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xl))
| ~ aNaturalNumber0(xm)
| spl2_32 ),
inference(resolution,[],[f1199,f128]) ).
fof(f128,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,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/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',mSortsB_02) ).
fof(f1199,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xl)))
| spl2_32 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1197,plain,
( spl2_32
<=> aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xl))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f1203,plain,
( ~ spl2_32
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f1202,f153,f1197]) ).
fof(f1202,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xl)))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f1201,f232]) ).
fof(f1201,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f1154,f78]) ).
fof(f1154,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(xm)
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f1133]) ).
fof(f1133,plain,
( sdtasdt0(xm,xn) != sdtasdt0(xm,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(xm)
| ~ spl2_5 ),
inference(superposition,[],[f154,f224]) ).
fof(f224,plain,
! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(X0,sK0))
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f223,f79]) ).
fof(f223,plain,
! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(X0,sK0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f179,f83]) ).
fof(f179,plain,
! [X0] :
( sdtasdt0(X0,xn) = sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(X0,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f119,f84]) ).
fof(f119,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,[],[f56]) ).
fof(f56,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,[],[f55]) ).
fof(f55,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/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',mAMDistr) ).
fof(f154,plain,
( ! [X1] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
| ~ aNaturalNumber0(X1) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f251,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f78,f79,f80,f81,f82,f146,f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f146,plain,
( sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl2_3
<=> sdtasdt0(xl,xm) = sdtasdt0(xn,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f160,plain,
( spl2_1
| spl2_5
| spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f86,f157,f144,f153,f136]) ).
fof(f86,plain,
! [X0,X1] :
( sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xm,xl) = sdtasdt0(xm,xn) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
& ! [X0] :
( sdtasdt0(xn,xm) != sdtpldt0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0) ) )
| sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| ( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
& ! [X1] :
( sdtasdt0(xm,xn) != sdtpldt0(sdtasdt0(xm,xl),X1)
| ~ aNaturalNumber0(X1) ) )
| sdtasdt0(xm,xl) = sdtasdt0(xm,xn) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ( ( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| ? [X0] :
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xl,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
& ( sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ? [X1] :
( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xl),X1)
& aNaturalNumber0(X1) ) )
& sdtasdt0(xm,xl) != sdtasdt0(xm,xn) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ( ( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| ? [X0] :
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xl,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
& ( sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ? [X0] :
( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xl),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xm,xl) != sdtasdt0(xm,xn) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
( ( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| ? [X0] :
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xl,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
& ( sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ? [X0] :
( sdtasdt0(xm,xn) = sdtpldt0(sdtasdt0(xm,xl),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xm,xl) != sdtasdt0(xm,xn) ),
file('/export/starexec/sandbox/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM462+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 15:21:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.H4PRziBU9U/Vampire---4.8_19181
% 0.56/0.74 % (19290)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.74 % (19295)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.74 % (19294)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (19292)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (19291)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (19293)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (19296)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.74 % (19289)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (19292)Instruction limit reached!
% 0.56/0.75 % (19292)------------------------------
% 0.56/0.75 % (19292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (19292)Termination reason: Unknown
% 0.56/0.75 % (19292)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (19292)Memory used [KB]: 1344
% 0.56/0.75 % (19292)Time elapsed: 0.016 s
% 0.56/0.75 % (19292)Instructions burned: 35 (million)
% 0.56/0.75 % (19292)------------------------------
% 0.56/0.75 % (19292)------------------------------
% 0.56/0.75 % (19293)Instruction limit reached!
% 0.56/0.75 % (19293)------------------------------
% 0.56/0.75 % (19293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (19293)Termination reason: Unknown
% 0.56/0.75 % (19293)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (19293)Memory used [KB]: 1526
% 0.56/0.75 % (19293)Time elapsed: 0.017 s
% 0.56/0.75 % (19293)Instructions burned: 35 (million)
% 0.56/0.75 % (19293)------------------------------
% 0.56/0.75 % (19293)------------------------------
% 0.56/0.76 % (19289)Instruction limit reached!
% 0.56/0.76 % (19289)------------------------------
% 0.56/0.76 % (19289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19289)Termination reason: Unknown
% 0.56/0.76 % (19289)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (19289)Memory used [KB]: 1370
% 0.56/0.76 % (19289)Time elapsed: 0.017 s
% 0.56/0.76 % (19289)Instructions burned: 35 (million)
% 0.56/0.76 % (19289)------------------------------
% 0.56/0.76 % (19289)------------------------------
% 0.56/0.76 % (19297)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.56/0.76 % (19298)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.56/0.76 % (19299)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.56/0.76 % (19294)Instruction limit reached!
% 0.56/0.76 % (19294)------------------------------
% 0.56/0.76 % (19294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19294)Termination reason: Unknown
% 0.56/0.76 % (19294)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (19294)Memory used [KB]: 1382
% 0.56/0.76 % (19294)Time elapsed: 0.022 s
% 0.56/0.76 % (19294)Instructions burned: 46 (million)
% 0.56/0.76 % (19294)------------------------------
% 0.56/0.76 % (19294)------------------------------
% 0.56/0.76 % (19296)Instruction limit reached!
% 0.56/0.76 % (19296)------------------------------
% 0.56/0.76 % (19296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19296)Termination reason: Unknown
% 0.56/0.76 % (19296)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (19296)Memory used [KB]: 1665
% 0.56/0.76 % (19296)Time elapsed: 0.025 s
% 0.56/0.76 % (19296)Instructions burned: 56 (million)
% 0.56/0.76 % (19296)------------------------------
% 0.56/0.76 % (19296)------------------------------
% 0.56/0.76 % (19300)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.56/0.76 % (19290)Instruction limit reached!
% 0.56/0.76 % (19290)------------------------------
% 0.56/0.76 % (19290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19290)Termination reason: Unknown
% 0.56/0.76 % (19290)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (19290)Memory used [KB]: 1747
% 0.56/0.76 % (19290)Time elapsed: 0.027 s
% 0.56/0.76 % (19290)Instructions burned: 52 (million)
% 0.56/0.76 % (19290)------------------------------
% 0.56/0.76 % (19290)------------------------------
% 0.56/0.77 % (19301)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.56/0.77 % (19302)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.56/0.77 % (19295)Instruction limit reached!
% 0.56/0.77 % (19295)------------------------------
% 0.56/0.77 % (19295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (19295)Termination reason: Unknown
% 0.56/0.77 % (19295)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (19295)Memory used [KB]: 1872
% 0.56/0.77 % (19295)Time elapsed: 0.032 s
% 0.56/0.77 % (19295)Instructions burned: 84 (million)
% 0.56/0.77 % (19295)------------------------------
% 0.56/0.77 % (19295)------------------------------
% 0.56/0.77 % (19302)Refutation not found, incomplete strategy% (19302)------------------------------
% 0.56/0.77 % (19302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (19302)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (19302)Memory used [KB]: 1086
% 0.56/0.77 % (19302)Time elapsed: 0.004 s
% 0.56/0.77 % (19302)Instructions burned: 5 (million)
% 0.56/0.77 % (19302)------------------------------
% 0.56/0.77 % (19302)------------------------------
% 0.56/0.77 % (19304)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.56/0.77 % (19303)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.56/0.77 % (19291)Instruction limit reached!
% 0.56/0.77 % (19291)------------------------------
% 0.56/0.77 % (19291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (19291)Termination reason: Unknown
% 0.56/0.77 % (19291)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (19291)Memory used [KB]: 1719
% 0.56/0.77 % (19291)Time elapsed: 0.036 s
% 0.56/0.77 % (19291)Instructions burned: 78 (million)
% 0.56/0.77 % (19291)------------------------------
% 0.56/0.77 % (19291)------------------------------
% 0.56/0.78 % (19298)Instruction limit reached!
% 0.56/0.78 % (19298)------------------------------
% 0.56/0.78 % (19298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (19298)Termination reason: Unknown
% 0.56/0.78 % (19298)Termination phase: Saturation
% 0.56/0.78
% 0.56/0.78 % (19298)Memory used [KB]: 1500
% 0.56/0.78 % (19298)Time elapsed: 0.020 s
% 0.56/0.78 % (19298)Instructions burned: 50 (million)
% 0.56/0.78 % (19298)------------------------------
% 0.56/0.78 % (19298)------------------------------
% 0.56/0.78 % (19305)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.56/0.78 % (19297)Instruction limit reached!
% 0.56/0.78 % (19297)------------------------------
% 0.56/0.78 % (19297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (19297)Termination reason: Unknown
% 0.56/0.78 % (19297)Termination phase: Saturation
% 0.56/0.78
% 0.56/0.78 % (19297)Memory used [KB]: 2001
% 0.56/0.78 % (19297)Time elapsed: 0.024 s
% 0.56/0.78 % (19297)Instructions burned: 55 (million)
% 0.56/0.78 % (19306)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.56/0.78 % (19297)------------------------------
% 0.56/0.78 % (19297)------------------------------
% 0.56/0.78 % (19307)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.56/0.79 % (19300)Instruction limit reached!
% 0.56/0.79 % (19300)------------------------------
% 0.56/0.79 % (19300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.79 % (19300)Termination reason: Unknown
% 0.56/0.79 % (19300)Termination phase: Saturation
% 0.56/0.79
% 0.56/0.79 % (19300)Memory used [KB]: 1613
% 0.56/0.79 % (19300)Time elapsed: 0.026 s
% 0.56/0.79 % (19300)Instructions burned: 53 (million)
% 0.56/0.79 % (19300)------------------------------
% 0.56/0.79 % (19300)------------------------------
% 0.82/0.79 % (19308)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.82/0.80 % (19301)First to succeed.
% 0.82/0.80 % (19301)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19288"
% 0.82/0.80 % (19301)Refutation found. Thanks to Tanya!
% 0.82/0.80 % SZS status Theorem for Vampire---4
% 0.82/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.82/0.80 % (19301)------------------------------
% 0.82/0.80 % (19301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.80 % (19301)Termination reason: Refutation
% 0.82/0.80
% 0.82/0.80 % (19301)Memory used [KB]: 1634
% 0.82/0.80 % (19301)Time elapsed: 0.038 s
% 0.82/0.80 % (19301)Instructions burned: 87 (million)
% 0.82/0.80 % (19288)Success in time 0.453 s
% 0.82/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------