TSTP Solution File: COM020+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:46:15 EDT 2024
% Result : Theorem 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 103 ( 21 unt; 0 def)
% Number of atoms : 511 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 711 ( 303 ~; 287 |; 97 &)
% ( 11 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 175 ( 151 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,plain,
$false,
inference(avatar_sat_refutation,[],[f388,f575,f581]) ).
fof(f581,plain,
~ spl12_8,
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f580,plain,
( $false
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f579,f89]) ).
fof(f89,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( sdtmndtasgtdt0(xu,xR,xb)
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__755) ).
fof(f579,plain,
( ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f578,f87]) ).
fof(f87,plain,
aElement0(xu),
inference(cnf_transformation,[],[f20]) ).
fof(f578,plain,
( ~ aElement0(xu)
| ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f576,f202]) ).
fof(f202,plain,
iLess0(xu,xa),
inference(subsumption_resolution,[],[f201,f76]) ).
fof(f76,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__656) ).
fof(f201,plain,
( iLess0(xu,xa)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f200,f78]) ).
fof(f78,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( isTerminating0(xR)
& isLocallyConfluent0(xR) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__656_01) ).
fof(f200,plain,
( iLess0(xu,xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f199,f79]) ).
fof(f79,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__731) ).
fof(f199,plain,
( iLess0(xu,xa)
| ~ aElement0(xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f188,f87]) ).
fof(f188,plain,
( iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f112,f178]) ).
fof(f178,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference(subsumption_resolution,[],[f177,f79]) ).
fof(f177,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f176,f76]) ).
fof(f176,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f172,f87]) ).
fof(f172,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(xu)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(resolution,[],[f121,f88]) ).
fof(f88,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f20]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ( sdtmndtplgtdt0(sK10(X0,X1,X2),X1,X2)
& aReductOfIn0(sK10(X0,X1,X2),X0,X1)
& aElement0(sK10(X0,X1,X2)) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK10(X0,X1,X2),X1,X2)
& aReductOfIn0(sK10(X0,X1,X2),X0,X1)
& aElement0(sK10(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',mTCDef) ).
fof(f112,plain,
! [X3,X0,X4] :
( ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ( ~ iLess0(sK9(X0),sK8(X0))
& sdtmndtplgtdt0(sK8(X0),X0,sK9(X0))
& aElement0(sK9(X0))
& aElement0(sK8(X0)) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f63,f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) )
=> ( ~ iLess0(sK9(X0),sK8(X0))
& sdtmndtplgtdt0(sK8(X0),X0,sK9(X0))
& aElement0(sK9(X0))
& aElement0(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',mTermin) ).
fof(f576,plain,
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ spl12_8 ),
inference(resolution,[],[f387,f554]) ).
fof(f554,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(subsumption_resolution,[],[f552,f87]) ).
fof(f552,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xu) ),
inference(resolution,[],[f229,f94]) ).
fof(f94,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
( sdtmndtasgtdt0(xv,xR,xw)
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__799) ).
fof(f229,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f228,f76]) ).
fof(f228,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f227,f93]) ).
fof(f93,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f227,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f212,f134]) ).
fof(f134,plain,
aElement0(xd),
inference(subsumption_resolution,[],[f133,f93]) ).
fof(f133,plain,
( aElement0(xd)
| ~ aElement0(xw) ),
inference(subsumption_resolution,[],[f132,f76]) ).
fof(f132,plain,
( aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[],[f123,f96]) ).
fof(f96,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__818) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK11(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f73,f74]) ).
fof(f74,plain,
! [X1,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X1)
=> aReductOfIn0(sK11(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',mNFRDef) ).
fof(f212,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aElement0(xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f98,f145]) ).
fof(f145,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(subsumption_resolution,[],[f144,f93]) ).
fof(f144,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aElement0(xw) ),
inference(subsumption_resolution,[],[f141,f76]) ).
fof(f141,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[],[f124,f96]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtasgtdt0(X2,X1,X3)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X0,X1,X2) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',mTCRTrans) ).
fof(f387,plain,
( ! [X1] :
( ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ iLess0(X1,xa)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,xb) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl12_8
<=> ! [X1] :
( ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ iLess0(X1,xa)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,xd) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f575,plain,
spl12_7,
inference(avatar_split_clause,[],[f574,f382]) ).
fof(f382,plain,
( spl12_7
<=> aElement0(sK2(xd,xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f574,plain,
aElement0(sK2(xd,xb)),
inference(subsumption_resolution,[],[f561,f134]) ).
fof(f561,plain,
( aElement0(sK2(xd,xb))
| ~ aElement0(xd) ),
inference(resolution,[],[f554,f287]) ).
fof(f287,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| aElement0(sK2(X0,xb))
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f286,f87]) ).
fof(f286,plain,
! [X0] :
( aElement0(sK2(X0,xb))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xu) ),
inference(subsumption_resolution,[],[f285,f80]) ).
fof(f80,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f285,plain,
! [X0] :
( aElement0(sK2(X0,xb))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(xb)
| ~ aElement0(X0)
| ~ aElement0(xu) ),
inference(subsumption_resolution,[],[f278,f202]) ).
fof(f278,plain,
! [X0] :
( ~ iLess0(xu,xa)
| aElement0(sK2(X0,xb))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(xb)
| ~ aElement0(X0)
| ~ aElement0(xu) ),
inference(resolution,[],[f82,f89]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| aElement0(sK2(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X2,xR,sK2(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK2(X1,X2))
& aElement0(sK2(X1,X2)) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f31,f52]) ).
fof(f52,plain,
! [X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X2,xR,sK2(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK2(X1,X2))
& aElement0(sK2(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X0,xR,X1)
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( iLess0(X0,xa)
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__715) ).
fof(f388,plain,
( ~ spl12_7
| spl12_8
| spl12_8 ),
inference(avatar_split_clause,[],[f380,f386,f386,f382]) ).
fof(f380,plain,
! [X0,X1] :
( ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ aElement0(sK2(xd,xb)) ),
inference(subsumption_resolution,[],[f379,f134]) ).
fof(f379,plain,
! [X0,X1] :
( ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ aElement0(sK2(xd,xb)) ),
inference(subsumption_resolution,[],[f373,f80]) ).
fof(f373,plain,
! [X0,X1] :
( ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(xb)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ aElement0(sK2(xd,xb)) ),
inference(duplicate_literal_removal,[],[f369]) ).
fof(f369,plain,
! [X0,X1] :
( ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(xb)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ aElement0(xb)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ aElement0(sK2(xd,xb)) ),
inference(resolution,[],[f84,f366]) ).
fof(f366,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(xb,xR,sK2(xd,X1))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| ~ aElement0(sK2(xd,X1)) ),
inference(subsumption_resolution,[],[f358,f134]) ).
fof(f358,plain,
! [X0,X1] :
( ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X1)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(xb,xR,sK2(xd,X1))
| ~ aElement0(sK2(xd,X1)) ),
inference(resolution,[],[f83,f97]) ).
fof(f97,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ? [X0] :
( sdtmndtasgtdt0(xd,xR,X0)
& sdtmndtasgtdt0(xb,xR,X0)
& aElement0(X0) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
? [X0] :
( sdtmndtasgtdt0(xd,xR,X0)
& sdtmndtasgtdt0(xb,xR,X0)
& aElement0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487',m__) ).
fof(f83,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK2(X1,X2))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f84,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X2,xR,sK2(X1,X2))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 21:28:23 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.nhy3XzKBLP/Vampire---4.8_8487
% 0.57/0.77 % (8595)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 (2995ds/34Mi)
% 0.57/0.77 % (8597)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.77 % (8601)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 (2995ds/83Mi)
% 0.57/0.77 % (8598)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.57/0.77 % (8596)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 (2995ds/51Mi)
% 0.57/0.77 % (8599)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 (2995ds/34Mi)
% 0.57/0.77 % (8600)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.57/0.78 % (8602)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 (2995ds/56Mi)
% 0.57/0.78 % (8595)Instruction limit reached!
% 0.57/0.78 % (8595)------------------------------
% 0.57/0.78 % (8595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (8595)Termination reason: Unknown
% 0.57/0.78 % (8595)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (8595)Memory used [KB]: 1377
% 0.57/0.78 % (8595)Time elapsed: 0.013 s
% 0.57/0.78 % (8595)Instructions burned: 37 (million)
% 0.57/0.78 % (8595)------------------------------
% 0.57/0.78 % (8595)------------------------------
% 0.57/0.79 % (8603)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)
% 0.57/0.79 % (8598)Instruction limit reached!
% 0.57/0.79 % (8598)------------------------------
% 0.57/0.79 % (8598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (8598)Termination reason: Unknown
% 0.57/0.79 % (8598)Termination phase: Saturation
% 0.57/0.79
% 0.57/0.79 % (8598)Memory used [KB]: 1360
% 0.57/0.79 % (8598)Time elapsed: 0.018 s
% 0.57/0.79 % (8598)Instructions burned: 33 (million)
% 0.57/0.79 % (8598)------------------------------
% 0.57/0.79 % (8598)------------------------------
% 0.57/0.79 % (8599)Instruction limit reached!
% 0.57/0.79 % (8599)------------------------------
% 0.57/0.79 % (8599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (8599)Termination reason: Unknown
% 0.57/0.79 % (8599)Termination phase: Saturation
% 0.57/0.79
% 0.57/0.79 % (8599)Memory used [KB]: 1486
% 0.57/0.79 % (8599)Time elapsed: 0.019 s
% 0.57/0.79 % (8599)Instructions burned: 34 (million)
% 0.57/0.79 % (8599)------------------------------
% 0.57/0.79 % (8599)------------------------------
% 0.57/0.79 % (8605)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)
% 0.57/0.79 % (8600)Instruction limit reached!
% 0.57/0.79 % (8600)------------------------------
% 0.57/0.79 % (8600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (8600)Termination reason: Unknown
% 0.57/0.79 % (8600)Termination phase: Saturation
% 0.57/0.79
% 0.57/0.79 % (8600)Memory used [KB]: 1472
% 0.57/0.79 % (8600)Time elapsed: 0.023 s
% 0.57/0.79 % (8600)Instructions burned: 47 (million)
% 0.57/0.79 % (8600)------------------------------
% 0.57/0.79 % (8600)------------------------------
% 0.57/0.80 % (8606)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)
% 0.57/0.80 % (8596)Instruction limit reached!
% 0.57/0.80 % (8596)------------------------------
% 0.57/0.80 % (8596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80 % (8596)Termination reason: Unknown
% 0.57/0.80 % (8596)Termination phase: Saturation
% 0.57/0.80
% 0.57/0.80 % (8596)Memory used [KB]: 1651
% 0.57/0.80 % (8596)Time elapsed: 0.029 s
% 0.57/0.80 % (8596)Instructions burned: 51 (million)
% 0.57/0.80 % (8596)------------------------------
% 0.57/0.80 % (8596)------------------------------
% 0.57/0.80 % (8605)First to succeed.
% 0.57/0.80 % (8607)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)
% 0.57/0.80 % (8604)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)
% 0.57/0.81 % (8605)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8594"
% 0.57/0.81 % (8605)Refutation found. Thanks to Tanya!
% 0.57/0.81 % SZS status Theorem for Vampire---4
% 0.57/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.81 % (8605)------------------------------
% 0.57/0.81 % (8605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.81 % (8605)Termination reason: Refutation
% 0.57/0.81
% 0.57/0.81 % (8605)Memory used [KB]: 1261
% 0.57/0.81 % (8605)Time elapsed: 0.013 s
% 0.57/0.81 % (8605)Instructions burned: 22 (million)
% 0.57/0.81 % (8594)Success in time 0.435 s
% 0.57/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------