TSTP Solution File: COM020+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n009.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 : Wed Aug 31 15:53:12 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 94 ( 19 unt; 0 def)
% Number of atoms : 405 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 558 ( 247 ~; 231 |; 52 &)
% ( 13 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 131 ( 121 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f450,plain,
$false,
inference(avatar_sat_refutation,[],[f191,f192,f205,f300,f443]) ).
fof(f443,plain,
( ~ spl15_4
| ~ spl15_8
| ~ spl15_10 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f442,plain,
( $false
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f441,f90]) ).
fof(f90,plain,
aElement0(xu),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( aElement0(xu)
& sdtmndtasgtdt0(xu,xR,xb)
& aReductOfIn0(xu,xa,xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__755) ).
fof(f441,plain,
( ~ aElement0(xu)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f440,f150]) ).
fof(f150,plain,
( iLess0(xu,xa)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl15_4
<=> iLess0(xu,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f440,plain,
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ spl15_8
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f434,f89]) ).
fof(f89,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f20]) ).
fof(f434,plain,
( ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ aElement0(xu)
| ~ iLess0(xu,xa)
| ~ spl15_8
| ~ spl15_10 ),
inference(resolution,[],[f412,f199]) ).
fof(f199,plain,
( ! [X1] :
( ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,xb) )
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl15_10
<=> ! [X1] :
( ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ iLess0(X1,xa) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f412,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f409,f90]) ).
fof(f409,plain,
( ~ aElement0(xu)
| sdtmndtasgtdt0(xu,xR,xd)
| ~ spl15_8 ),
inference(resolution,[],[f400,f121]) ).
fof(f121,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
( sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).
fof(f400,plain,
( ! [X12] :
( ~ sdtmndtasgtdt0(X12,xR,xw)
| sdtmndtasgtdt0(X12,xR,xd)
| ~ aElement0(X12) )
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f399,f120]) ).
fof(f120,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f399,plain,
( ! [X12] :
( sdtmndtasgtdt0(X12,xR,xd)
| ~ aElement0(xw)
| ~ sdtmndtasgtdt0(X12,xR,xw)
| ~ aElement0(X12) )
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f398,f122]) ).
fof(f122,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(f398,plain,
( ! [X12] :
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(X12,xR,xw)
| sdtmndtasgtdt0(X12,xR,xd)
| ~ aElement0(X12)
| ~ aElement0(xw) )
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f378,f175]) ).
fof(f175,plain,
( aElement0(xd)
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl15_8
<=> aElement0(xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f378,plain,
! [X12] :
( sdtmndtasgtdt0(X12,xR,xd)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aElement0(X12)
| ~ sdtmndtasgtdt0(X12,xR,xw) ),
inference(resolution,[],[f77,f214]) ).
fof(f214,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(subsumption_resolution,[],[f213,f120]) ).
fof(f213,plain,
( ~ aElement0(xw)
| sdtmndtasgtdt0(xw,xR,xd) ),
inference(subsumption_resolution,[],[f212,f122]) ).
fof(f212,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| sdtmndtasgtdt0(xw,xR,xd) ),
inference(resolution,[],[f62,f115]) ).
fof(f115,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& aElement0(X2)
& sdtmndtasgtdt0(X0,X1,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)
& aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtasgtdt0(X3,X0,X2)
| sdtmndtasgtdt0(X1,X0,X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,X0,X3) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X2,X3,X1,X0] :
( ~ sdtmndtasgtdt0(X3,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X3)
| sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X2,X3,X1] :
( sdtmndtasgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X3,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X3,X1] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& aRewritingSystem0(X0) )
=> ( ( sdtmndtasgtdt0(X3,X0,X2)
& sdtmndtasgtdt0(X1,X0,X3) )
=> sdtmndtasgtdt0(X1,X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0,X3,X2] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X0)
& aRewritingSystem0(X1) )
=> ( ( sdtmndtasgtdt0(X0,X1,X2)
& sdtmndtasgtdt0(X2,X1,X3) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f300,plain,
spl15_4,
inference(avatar_split_clause,[],[f299,f149]) ).
fof(f299,plain,
iLess0(xu,xa),
inference(subsumption_resolution,[],[f298,f122]) ).
fof(f298,plain,
( iLess0(xu,xa)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f297,f90]) ).
fof(f297,plain,
( ~ aElement0(xu)
| iLess0(xu,xa)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f283,f117]) ).
fof(f117,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xb)
& aElement0(xa)
& aElement0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f283,plain,
( ~ aElement0(xa)
| ~ aElement0(xu)
| ~ aRewritingSystem0(xR)
| iLess0(xu,xa) ),
inference(subsumption_resolution,[],[f280,f83]) ).
fof(f83,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).
fof(f280,plain,
( ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xu)
| ~ aElement0(xa)
| iLess0(xu,xa) ),
inference(resolution,[],[f108,f273]) ).
fof(f273,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference(subsumption_resolution,[],[f272,f117]) ).
fof(f272,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f266,f122]) ).
fof(f266,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(resolution,[],[f265,f88]) ).
fof(f88,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f20]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(subsumption_resolution,[],[f82,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| aElement0(X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X2,X0] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aReductOfIn0(X3,X0,X1)
& aElement0(X3)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X2,X0] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aReductOfIn0(X3,X0,X1)
& aElement0(X3)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( ( aRewritingSystem0(X1)
& aElement0(X2)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aReductOfIn0(X3,X0,X1)
& aElement0(X3)
& sdtmndtplgtdt0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| iLess0(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( ~ aElement0(X1)
| iLess0(X2,X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X1,X0,X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X2,X1] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X2,X1] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).
fof(f205,plain,
( spl15_10
| spl15_10
| ~ spl15_8
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f204,f189,f174,f198,f198]) ).
fof(f189,plain,
( spl15_9
<=> ! [X0,X1] :
( ~ sdtmndtasgtdt0(xb,xR,sK6(xd,X1))
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f204,plain,
( ! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ iLess0(X1,xa)
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X1,xR,xb) )
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f203,f118]) ).
fof(f118,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f203,plain,
( ! [X0,X1] :
( ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ aElement0(X1)
| ~ iLess0(X0,xa) )
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f202,f175]) ).
fof(f202,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ iLess0(X0,xa)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X0,xR,xd) )
| ~ spl15_9 ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
( ! [X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ iLess0(X0,xa)
| ~ aElement0(xd)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ iLess0(X1,xa)
| ~ aElement0(xb)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl15_9 ),
inference(resolution,[],[f190,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X2,xR,sK6(X0,X2))
| ~ iLess0(X1,xa)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X2,X0] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X0,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) ) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X0,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ( sdtmndtasgtdt0(X1,xR,X2)
& aElement0(X2)
& aElement0(X0)
& aElement0(X1)
& sdtmndtasgtdt0(X1,xR,X0) )
=> ( iLess0(X1,xa)
=> ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X0,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X0,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X0)
& aElement0(X2)
& sdtmndtasgtdt0(X0,xR,X1)
& aElement0(X1) )
=> ( iLess0(X0,xa)
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).
fof(f190,plain,
( ! [X0,X1] :
( ~ sdtmndtasgtdt0(xb,xR,sK6(xd,X1))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ iLess0(X0,xa) )
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f192,plain,
spl15_8,
inference(avatar_split_clause,[],[f184,f174]) ).
fof(f184,plain,
aElement0(xd),
inference(subsumption_resolution,[],[f183,f120]) ).
fof(f183,plain,
( ~ aElement0(xw)
| aElement0(xd) ),
inference(subsumption_resolution,[],[f182,f122]) ).
fof(f182,plain,
( ~ aRewritingSystem0(xR)
| aElement0(xd)
| ~ aElement0(xw) ),
inference(resolution,[],[f63,f115]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f191,plain,
( ~ spl15_8
| spl15_9 ),
inference(avatar_split_clause,[],[f187,f189,f174]) ).
fof(f187,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(xb,xR,sK6(xd,X1))
| ~ aElement0(X1)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,xd) ),
inference(subsumption_resolution,[],[f178,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X0)
| aElement0(sK6(X0,X2))
| ~ aElement0(X2)
| ~ iLess0(X1,xa)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(sK6(xd,X1))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xb,xR,sK6(xd,X1))
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ iLess0(X0,xa)
| ~ aElement0(X0) ),
inference(resolution,[],[f86,f97]) ).
fof(f97,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(xb,xR,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ sdtmndtasgtdt0(xd,xR,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& sdtmndtasgtdt0(xb,xR,X0)
& sdtmndtasgtdt0(xd,xR,X0) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
? [X0] :
( aElement0(X0)
& sdtmndtasgtdt0(xb,xR,X0)
& sdtmndtasgtdt0(xd,xR,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f86,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK6(X0,X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X0)
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 17:04:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (3725)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.48 % (3711)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.48 % (3703)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.49 % (3710)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49 % (3722)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.49 % (3717)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (3712)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50 % (3713)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (3703)Instruction limit reached!
% 0.19/0.50 % (3703)------------------------------
% 0.19/0.50 % (3703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3717)Instruction limit reached!
% 0.19/0.50 % (3717)------------------------------
% 0.19/0.50 % (3717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3722)First to succeed.
% 0.19/0.51 % (3724)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (3703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3703)Termination reason: Unknown
% 0.19/0.51 % (3703)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (3703)Memory used [KB]: 6268
% 0.19/0.51 % (3703)Time elapsed: 0.116 s
% 0.19/0.51 % (3703)Instructions burned: 13 (million)
% 0.19/0.51 % (3703)------------------------------
% 0.19/0.51 % (3703)------------------------------
% 0.19/0.51 % (3708)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (3706)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (3702)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (3704)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (3704)Instruction limit reached!
% 0.19/0.52 % (3704)------------------------------
% 0.19/0.52 % (3704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (3704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3704)Termination reason: Unknown
% 0.19/0.52 % (3704)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (3704)Memory used [KB]: 1535
% 0.19/0.52 % (3704)Time elapsed: 0.003 s
% 0.19/0.52 % (3704)Instructions burned: 4 (million)
% 0.19/0.52 % (3704)------------------------------
% 0.19/0.52 % (3704)------------------------------
% 0.19/0.52 % (3716)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (3722)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (3722)------------------------------
% 0.19/0.52 % (3722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (3722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3722)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (3722)Memory used [KB]: 6140
% 0.19/0.52 % (3722)Time elapsed: 0.124 s
% 0.19/0.52 % (3722)Instructions burned: 13 (million)
% 0.19/0.52 % (3722)------------------------------
% 0.19/0.52 % (3722)------------------------------
% 0.19/0.52 % (3701)Success in time 0.18 s
%------------------------------------------------------------------------------