TSTP Solution File: COM022+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM022+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_sat --cores 0 -t %d %s
% Computer : n014.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 15:53:49 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 89 ( 13 unt; 0 def)
% Number of atoms : 465 ( 22 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 550 ( 174 ~; 171 |; 178 &)
% ( 10 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 144 ( 100 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f391,plain,
$false,
inference(avatar_sat_refutation,[],[f211,f346,f376,f390]) ).
fof(f390,plain,
~ spl24_6,
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl24_6 ),
inference(subsumption_resolution,[],[f210,f256]) ).
fof(f256,plain,
! [X0,X1] : ~ sP4(X0,X1),
inference(subsumption_resolution,[],[f255,f167]) ).
fof(f167,plain,
! [X0,X1] :
( aElement0(sK19(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
& aElement0(sK19(X0,X1))
& aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR)
& sdtmndtasgtdt0(xc,xR,sK20(X0,X1))
& sdtmndtasgtdt0(xb,xR,sK20(X0,X1))
& sdtmndtasgtdt0(X1,xR,sK19(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f101,f103,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
=> ( sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
& aElement0(sK19(X0,X1))
& ? [X3] :
( aNormalFormOfIn0(X3,sK19(X0,X1),xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X3] :
( aNormalFormOfIn0(X3,sK19(X0,X1),xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
=> ( aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR)
& sdtmndtasgtdt0(xc,xR,sK20(X0,X1))
& sdtmndtasgtdt0(xb,xR,sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f255,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ aElement0(sK19(X0,X1)) ),
inference(subsumption_resolution,[],[f254,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ aElement0(sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(subsumption_resolution,[],[f237,f164]) ).
fof(f164,plain,
! [X0,X1] :
( sdtmndtasgtdt0(xb,xR,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f237,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ sdtmndtasgtdt0(xb,xR,sK20(X0,X1))
| ~ aElement0(sK20(X0,X1)) ),
inference(resolution,[],[f169,f165]) ).
fof(f165,plain,
! [X0,X1] :
( sdtmndtasgtdt0(xc,xR,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f169,plain,
! [X2] :
( ~ sdtmndtasgtdt0(xc,xR,X2)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(xb,xR,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( sdtmndtasgtdt0(xa,xR,xb)
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ( aElement0(sK22)
& sP4(sK21,sK22)
& aReductOfIn0(sK22,xa,xR)
& sdtmndtasgtdt0(sK22,xR,xc)
& sdtmndtasgtdt0(sK21,xR,xb)
& aReductOfIn0(sK21,xa,xR)
& aElement0(sK21) )
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X2] :
( ~ aElement0(X2)
| ~ sdtmndtasgtdt0(xc,xR,X2)
| ~ sdtmndtasgtdt0(xb,xR,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f105,f107,f106]) ).
fof(f106,plain,
( ? [X0] :
( ? [X1] :
( aElement0(X1)
& sP4(X0,X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
=> ( ? [X1] :
( aElement0(X1)
& sP4(sK21,X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(sK21,xR,xb)
& aReductOfIn0(sK21,xa,xR)
& aElement0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X1] :
( aElement0(X1)
& sP4(sK21,X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
=> ( aElement0(sK22)
& sP4(sK21,sK22)
& aReductOfIn0(sK22,xa,xR)
& sdtmndtasgtdt0(sK22,xR,xc) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( sdtmndtasgtdt0(xa,xR,xb)
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ? [X0] :
( ? [X1] :
( aElement0(X1)
& sP4(X0,X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X2] :
( ~ aElement0(X2)
| ~ sdtmndtasgtdt0(xc,xR,X2)
| ~ sdtmndtasgtdt0(xb,xR,X2) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
( sdtmndtasgtdt0(xa,xR,xb)
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ? [X0] :
( ? [X1] :
( aElement0(X1)
& sP4(X0,X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtasgtdt0(xc,xR,X4)
| ~ sdtmndtasgtdt0(xb,xR,X4) ) ),
inference(definition_folding,[],[f35,f64]) ).
fof(f35,plain,
( sdtmndtasgtdt0(xa,xR,xb)
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ? [X0] :
( ? [X1] :
( aElement0(X1)
& ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xb) )
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtasgtdt0(xc,xR,X4)
| ~ sdtmndtasgtdt0(xb,xR,X4) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
( ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtasgtdt0(xc,xR,X4)
| ~ sdtmndtasgtdt0(xb,xR,X4) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ? [X0] :
( ? [X1] :
( aElement0(X1)
& ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
~ ( ( ( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) )
=> ? [X0] :
( ? [X1] :
( aElement0(X1)
& ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [X4] :
( sdtmndtasgtdt0(xb,xR,X4)
& aElement0(X4)
& sdtmndtasgtdt0(xc,xR,X4) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( ( ( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) )
=> ? [X0] :
( ? [X1] :
( aElement0(X1)
& ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [X0] :
( sdtmndtasgtdt0(xb,xR,X0)
& aElement0(X0)
& sdtmndtasgtdt0(xc,xR,X0) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( ( ( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) )
=> ? [X0] :
( ? [X1] :
( aElement0(X1)
& ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2)
& ? [X3] :
( aNormalFormOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3) )
& sdtmndtasgtdt0(X1,xR,X2) )
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xc) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [X0] :
( sdtmndtasgtdt0(xb,xR,X0)
& aElement0(X0)
& sdtmndtasgtdt0(xc,xR,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f254,plain,
! [X0,X1] :
( aElement0(sK20(X0,X1))
| ~ sP4(X0,X1)
| ~ aElement0(sK19(X0,X1)) ),
inference(subsumption_resolution,[],[f253,f126]) ).
fof(f126,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f253,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK19(X0,X1))
| aElement0(sK20(X0,X1)) ),
inference(resolution,[],[f166,f143]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| aElement0(X2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) )
& ( aNormalFormOfIn0(X2,X0,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| aReductOfIn0(sK13(X1,X2),X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f87,f88]) ).
fof(f88,plain,
! [X1,X2] :
( ? [X4] : aReductOfIn0(X4,X2,X1)
=> aReductOfIn0(sK13(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) )
& ( aNormalFormOfIn0(X2,X0,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ? [X4] : aReductOfIn0(X4,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) )
& ( aNormalFormOfIn0(X2,X0,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) )
& ( aNormalFormOfIn0(X2,X0,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
<=> aNormalFormOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ! [X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
<=> aNormalFormOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2) )
<=> aNormalFormOfIn0(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f166,plain,
! [X0,X1] :
( aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f210,plain,
( sP4(sK21,sK22)
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl24_6
<=> sP4(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f376,plain,
spl24_3,
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f375,plain,
( $false
| spl24_3 ),
inference(subsumption_resolution,[],[f374,f126]) ).
fof(f374,plain,
( ~ aRewritingSystem0(xR)
| spl24_3 ),
inference(subsumption_resolution,[],[f373,f178]) ).
fof(f178,plain,
sdtmndtasgtdt0(xa,xR,xb),
inference(cnf_transformation,[],[f108]) ).
fof(f373,plain,
( ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| spl24_3 ),
inference(subsumption_resolution,[],[f372,f119]) ).
fof(f119,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xa)
& aElement0(xc)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f372,plain,
( ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| spl24_3 ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f370,plain,
( ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xb)
| ~ aElement0(xb)
| spl24_3 ),
inference(resolution,[],[f367,f183]) ).
fof(f183,plain,
! [X2,X0] :
( sdtmndtasgtdt0(X2,X0,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X0) ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f180,plain,
! [X2,X0] :
( ~ aElement0(X2)
| sdtmndtasgtdt0(X2,X0,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X0) ),
inference(equality_resolution,[],[f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| sdtmndtasgtdt0(X1,X0,X2)
| X1 != X2
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ aRewritingSystem0(X0)
| ( ( sdtmndtasgtdt0(X1,X0,X2)
| ( X1 != X2
& ~ sdtmndtplgtdt0(X1,X0,X2) ) )
& ( X1 = X2
| sdtmndtplgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X2) ) )
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X2,X1,X0] :
( ~ aRewritingSystem0(X2)
| ( ( sdtmndtasgtdt0(X1,X2,X0)
| ( X0 != X1
& ~ sdtmndtplgtdt0(X1,X2,X0) ) )
& ( X0 = X1
| sdtmndtplgtdt0(X1,X2,X0)
| ~ sdtmndtasgtdt0(X1,X2,X0) ) )
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X2,X1,X0] :
( ~ aRewritingSystem0(X2)
| ( ( sdtmndtasgtdt0(X1,X2,X0)
| ( X0 != X1
& ~ sdtmndtplgtdt0(X1,X2,X0) ) )
& ( X0 = X1
| sdtmndtplgtdt0(X1,X2,X0)
| ~ sdtmndtasgtdt0(X1,X2,X0) ) )
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X2,X1,X0] :
( ~ aRewritingSystem0(X2)
| ( sdtmndtasgtdt0(X1,X2,X0)
<=> ( X0 = X1
| sdtmndtplgtdt0(X1,X2,X0) ) )
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0] :
( ( sdtmndtasgtdt0(X1,X2,X0)
<=> ( X0 = X1
| sdtmndtplgtdt0(X1,X2,X0) ) )
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( ( aRewritingSystem0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X1,X2,X0)
<=> ( X0 = X1
| sdtmndtplgtdt0(X1,X2,X0) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ( aElement0(X2)
& aElement0(X0)
& aRewritingSystem0(X1) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f367,plain,
( ! [X2] :
( ~ sdtmndtasgtdt0(xb,xR,X2)
| ~ sdtmndtasgtdt0(xa,xR,X2)
| ~ aElement0(X2) )
| spl24_3 ),
inference(forward_demodulation,[],[f169,f357]) ).
fof(f357,plain,
( xa = xc
| spl24_3 ),
inference(subsumption_resolution,[],[f356,f170]) ).
fof(f170,plain,
sdtmndtasgtdt0(xa,xR,xc),
inference(cnf_transformation,[],[f108]) ).
fof(f356,plain,
( xa = xc
| ~ sdtmndtasgtdt0(xa,xR,xc)
| spl24_3 ),
inference(subsumption_resolution,[],[f355,f126]) ).
fof(f355,plain,
( xa = xc
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xc)
| spl24_3 ),
inference(subsumption_resolution,[],[f354,f120]) ).
fof(f120,plain,
aElement0(xc),
inference(cnf_transformation,[],[f17]) ).
fof(f354,plain,
( ~ aElement0(xc)
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ aRewritingSystem0(xR)
| xa = xc
| spl24_3 ),
inference(subsumption_resolution,[],[f353,f121]) ).
fof(f121,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f353,plain,
( ~ aElement0(xa)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xc)
| ~ sdtmndtasgtdt0(xa,xR,xc)
| xa = xc
| spl24_3 ),
inference(resolution,[],[f195,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| X1 = X2
| ~ sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f195,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| spl24_3 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl24_3
<=> sdtmndtplgtdt0(xa,xR,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f346,plain,
spl24_2,
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| spl24_2 ),
inference(subsumption_resolution,[],[f341,f170]) ).
fof(f341,plain,
( ~ sdtmndtasgtdt0(xa,xR,xc)
| spl24_2 ),
inference(backward_demodulation,[],[f246,f333]) ).
fof(f333,plain,
( xa = xb
| spl24_2 ),
inference(subsumption_resolution,[],[f332,f119]) ).
fof(f332,plain,
( xa = xb
| ~ aElement0(xb)
| spl24_2 ),
inference(subsumption_resolution,[],[f331,f121]) ).
fof(f331,plain,
( xa = xb
| ~ aElement0(xa)
| ~ aElement0(xb)
| spl24_2 ),
inference(subsumption_resolution,[],[f330,f178]) ).
fof(f330,plain,
( xa = xb
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xb)
| ~ aElement0(xa)
| spl24_2 ),
inference(subsumption_resolution,[],[f325,f126]) ).
fof(f325,plain,
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xb)
| ~ aElement0(xa)
| xa = xb
| spl24_2 ),
inference(resolution,[],[f123,f191]) ).
fof(f191,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| spl24_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl24_2
<=> sdtmndtplgtdt0(xa,xR,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f246,plain,
~ sdtmndtasgtdt0(xb,xR,xc),
inference(subsumption_resolution,[],[f245,f126]) ).
fof(f245,plain,
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xb,xR,xc) ),
inference(subsumption_resolution,[],[f241,f120]) ).
fof(f241,plain,
( ~ aElement0(xc)
| ~ sdtmndtasgtdt0(xb,xR,xc)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f240,plain,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| ~ aElement0(xc)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xc) ),
inference(resolution,[],[f169,f183]) ).
fof(f211,plain,
( spl24_6
| ~ spl24_3
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f176,f189,f193,f208]) ).
fof(f176,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| sP4(sK21,sK22) ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 17:09:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (7402)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46 % (7399)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.47 % (7402)Instruction limit reached!
% 0.19/0.47 % (7402)------------------------------
% 0.19/0.47 % (7402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (7402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (7402)Termination reason: Unknown
% 0.19/0.47 % (7402)Termination phase: Naming
% 0.19/0.47
% 0.19/0.47 % (7402)Memory used [KB]: 895
% 0.19/0.47 % (7402)Time elapsed: 0.003 s
% 0.19/0.47 % (7402)Instructions burned: 2 (million)
% 0.19/0.47 % (7402)------------------------------
% 0.19/0.47 % (7402)------------------------------
% 0.19/0.48 % (7419)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.48 % (7410)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (7399)First to succeed.
% 0.19/0.49 % (7399)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (7399)------------------------------
% 0.19/0.49 % (7399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (7399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (7399)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (7399)Memory used [KB]: 5628
% 0.19/0.49 % (7399)Time elapsed: 0.098 s
% 0.19/0.49 % (7399)Instructions burned: 9 (million)
% 0.19/0.49 % (7399)------------------------------
% 0.19/0.49 % (7399)------------------------------
% 0.19/0.49 % (7392)Success in time 0.142 s
%------------------------------------------------------------------------------