TSTP Solution File: COM018+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM018+4 : 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 : n007.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 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 396 ( 27 equ)
% Maximal formula atoms : 30 ( 9 avg)
% Number of connectives : 462 ( 108 ~; 141 |; 198 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 110 ( 64 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f695,plain,
$false,
inference(avatar_sat_refutation,[],[f442,f694]) ).
fof(f694,plain,
~ spl35_19,
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl35_19 ),
inference(subsumption_resolution,[],[f692,f244]) ).
fof(f244,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X0,X1,X2] :
( ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X0,X2,xR)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ( sdtmndtasgtdt0(X1,xR,sK27(X0,X1))
& ( ( ( ( aElement0(sK28(X0,X1))
& sdtmndtplgtdt0(sK28(X0,X1),xR,sK27(X0,X1))
& aReductOfIn0(sK28(X0,X1),X0,xR) )
| aReductOfIn0(sK27(X0,X1),X0,xR) )
& sdtmndtplgtdt0(X0,xR,sK27(X0,X1)) )
| sK27(X0,X1) = X0 )
& sP5(sK27(X0,X1),X1)
& sdtmndtasgtdt0(X0,xR,sK27(X0,X1))
& aElement0(sK27(X0,X1)) ) )
& isLocallyConfluent0(xR)
& isTerminating0(xR)
& ! [X5,X6] :
( ~ aElement0(X6)
| ~ aElement0(X5)
| ( ~ aReductOfIn0(X6,X5,xR)
& ~ sdtmndtplgtdt0(X5,xR,X6)
& ! [X7] :
( ~ aReductOfIn0(X7,X5,xR)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(X7,xR,X6) ) )
| iLess0(X6,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f128,f130,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X3] :
( sdtmndtasgtdt0(X1,xR,X3)
& ( ( ( ? [X4] :
( aElement0(X4)
& sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X0,xR) )
| aReductOfIn0(X3,X0,xR) )
& sdtmndtplgtdt0(X0,xR,X3) )
| X0 = X3 )
& sP5(X3,X1)
& sdtmndtasgtdt0(X0,xR,X3)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,xR,sK27(X0,X1))
& ( ( ( ? [X4] :
( aElement0(X4)
& sdtmndtplgtdt0(X4,xR,sK27(X0,X1))
& aReductOfIn0(X4,X0,xR) )
| aReductOfIn0(sK27(X0,X1),X0,xR) )
& sdtmndtplgtdt0(X0,xR,sK27(X0,X1)) )
| sK27(X0,X1) = X0 )
& sP5(sK27(X0,X1),X1)
& sdtmndtasgtdt0(X0,xR,sK27(X0,X1))
& aElement0(sK27(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X4] :
( aElement0(X4)
& sdtmndtplgtdt0(X4,xR,sK27(X0,X1))
& aReductOfIn0(X4,X0,xR) )
=> ( aElement0(sK28(X0,X1))
& sdtmndtplgtdt0(sK28(X0,X1),xR,sK27(X0,X1))
& aReductOfIn0(sK28(X0,X1),X0,xR) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ! [X0,X1,X2] :
( ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X0,X2,xR)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ? [X3] :
( sdtmndtasgtdt0(X1,xR,X3)
& ( ( ( ? [X4] :
( aElement0(X4)
& sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X0,xR) )
| aReductOfIn0(X3,X0,xR) )
& sdtmndtplgtdt0(X0,xR,X3) )
| X0 = X3 )
& sP5(X3,X1)
& sdtmndtasgtdt0(X0,xR,X3)
& aElement0(X3) ) )
& isLocallyConfluent0(xR)
& isTerminating0(xR)
& ! [X5,X6] :
( ~ aElement0(X6)
| ~ aElement0(X5)
| ( ~ aReductOfIn0(X6,X5,xR)
& ~ sdtmndtplgtdt0(X5,xR,X6)
& ! [X7] :
( ~ aReductOfIn0(X7,X5,xR)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(X7,xR,X6) ) )
| iLess0(X6,X5) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
( ! [X4,X5,X3] :
( ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X5)
| ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( ( ? [X8] :
( aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR) )
| aReductOfIn0(X6,X4,xR) )
& sdtmndtplgtdt0(X4,xR,X6) )
| X4 = X6 )
& sP5(X6,X5)
& sdtmndtasgtdt0(X4,xR,X6)
& aElement0(X6) ) )
& isLocallyConfluent0(xR)
& isTerminating0(xR)
& ! [X1,X0] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ( ~ aReductOfIn0(X0,X1,xR)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) ) )
| iLess0(X0,X1) ) ),
inference(definition_folding,[],[f43,f74]) ).
fof(f74,plain,
! [X6,X5] :
( X5 = X6
| ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| ~ sP5(X6,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f43,plain,
( ! [X4,X5,X3] :
( ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X5)
| ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( ( ? [X8] :
( aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR) )
| aReductOfIn0(X6,X4,xR) )
& sdtmndtplgtdt0(X4,xR,X6) )
| X4 = X6 )
& ( X5 = X6
| ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) ) )
& sdtmndtasgtdt0(X4,xR,X6)
& aElement0(X6) ) )
& isLocallyConfluent0(xR)
& isTerminating0(xR)
& ! [X1,X0] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ( ~ aReductOfIn0(X0,X1,xR)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) ) )
| iLess0(X0,X1) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
( ! [X4,X5,X3] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( ( ? [X8] :
( aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR) )
| aReductOfIn0(X6,X4,xR) )
& sdtmndtplgtdt0(X4,xR,X6) )
| X4 = X6 )
& ( X5 = X6
| ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) ) )
& sdtmndtasgtdt0(X4,xR,X6)
& aElement0(X6) )
| ~ aElement0(X4)
| ~ aReductOfIn0(X5,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X3)
| ~ aReductOfIn0(X4,X3,xR) )
& isLocallyConfluent0(xR)
& ! [X0,X1] :
( iLess0(X0,X1)
| ( ~ aReductOfIn0(X0,X1,xR)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) ) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isTerminating0(xR) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
( ! [X4,X5,X3] :
( ( aElement0(X4)
& aReductOfIn0(X5,X3,xR)
& aElement0(X5)
& aElement0(X3)
& aReductOfIn0(X4,X3,xR) )
=> ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( ( ? [X8] :
( aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR) )
| aReductOfIn0(X6,X4,xR) )
& sdtmndtplgtdt0(X4,xR,X6) )
| X4 = X6 )
& ( X5 = X6
| ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) ) )
& sdtmndtasgtdt0(X4,xR,X6)
& aElement0(X6) ) )
& isLocallyConfluent0(xR)
& ! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( aReductOfIn0(X0,X1,xR)
| sdtmndtplgtdt0(X1,xR,X0)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,X0) ) )
=> iLess0(X0,X1) ) )
& isTerminating0(xR) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
( isTerminating0(xR)
& ! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( ? [X2] :
( aReductOfIn0(X2,X0,xR)
& aElement0(X2)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(X0,xR,X1)
| aReductOfIn0(X1,X0,xR) )
=> iLess0(X1,X0) ) )
& ! [X0,X2,X1] :
( ( aElement0(X1)
& aReductOfIn0(X1,X0,xR)
& aElement0(X0)
& aElement0(X2)
& aReductOfIn0(X2,X0,xR) )
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& ( X1 = X3
| ( sdtmndtplgtdt0(X1,xR,X3)
& ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) ) ) ) )
& ( X2 = X3
| ( sdtmndtplgtdt0(X2,xR,X3)
& ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aReductOfIn0(X4,X2,xR)
& aElement0(X4)
& sdtmndtplgtdt0(X4,xR,X3) ) ) ) )
& aElement0(X3) ) )
& isLocallyConfluent0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f692,plain,
( ~ isTerminating0(xR)
| ~ spl35_19 ),
inference(subsumption_resolution,[],[f691,f213]) ).
fof(f213,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f691,plain,
( ~ aRewritingSystem0(xR)
| ~ isTerminating0(xR)
| ~ spl35_19 ),
inference(subsumption_resolution,[],[f689,f362]) ).
fof(f362,plain,
( aElement0(xw)
| ~ spl35_19 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl35_19
<=> aElement0(xw) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_19])]) ).
fof(f689,plain,
( ~ aElement0(xw)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f195,f183]) ).
fof(f183,plain,
! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ aNormalFormOfIn0(X0,xw,xR)
& ( ~ aElement0(X0)
| ( xw != X0
& ~ sdtmndtasgtdt0(xw,xR,X0)
& ~ sdtmndtplgtdt0(xw,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xw,xR) )
& ~ aReductOfIn0(X0,xw,xR) )
| aReductOfIn0(sK15(X0),X0,xR) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f58,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X2] : aReductOfIn0(X2,X0,xR)
=> aReductOfIn0(sK15(X0),X0,xR) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ~ aNormalFormOfIn0(X0,xw,xR)
& ( ~ aElement0(X0)
| ( xw != X0
& ~ sdtmndtasgtdt0(xw,xR,X0)
& ~ sdtmndtplgtdt0(xw,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xw,xR) )
& ~ aReductOfIn0(X0,xw,xR) )
| ? [X2] : aReductOfIn0(X2,X0,xR) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ? [X0] :
( ( ( sdtmndtasgtdt0(xw,xR,X0)
| sdtmndtplgtdt0(xw,xR,X0)
| ? [X1] :
( aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,X0)
& aElement0(X1) )
| xw = X0
| aReductOfIn0(X0,xw,xR) )
& aElement0(X0)
& ~ ? [X2] : aReductOfIn0(X2,X0,xR) )
| aNormalFormOfIn0(X0,xw,xR) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ? [X0] :
( aNormalFormOfIn0(X0,xw,xR)
| ( ( sdtmndtasgtdt0(xw,xR,X0)
| sdtmndtplgtdt0(xw,xR,X0)
| ? [X1] :
( aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,X0)
& aElement0(X1) )
| xw = X0
| aReductOfIn0(X0,xw,xR) )
& aElement0(X0)
& ~ ? [X1] : aReductOfIn0(X1,X0,xR) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
? [X0] :
( aNormalFormOfIn0(X0,xw,xR)
| ( ( sdtmndtasgtdt0(xw,xR,X0)
| sdtmndtplgtdt0(xw,xR,X0)
| ? [X1] :
( aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,X0)
& aElement0(X1) )
| xw = X0
| aReductOfIn0(X0,xw,xR) )
& aElement0(X0)
& ~ ? [X1] : aReductOfIn0(X1,X0,xR) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f195,plain,
! [X0,X1] :
( aNormalFormOfIn0(sK18(X0,X1),X1,X0)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ! [X1] :
( ~ aElement0(X1)
| aNormalFormOfIn0(sK18(X0,X1),X1,X0) )
| ~ isTerminating0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f60,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
=> aNormalFormOfIn0(sK18(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ! [X1] :
( ~ aElement0(X1)
| ? [X2] : aNormalFormOfIn0(X2,X1,X0) )
| ~ isTerminating0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ~ aElement0(X1)
| ? [X2] : aNormalFormOfIn0(X2,X1,X0) )
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( aRewritingSystem0(X0)
& isTerminating0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).
fof(f442,plain,
spl35_19,
inference(avatar_split_clause,[],[f185,f361]) ).
fof(f185,plain,
aElement0(xw),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( aReductOfIn0(xw,xv,xR)
| ( sdtmndtplgtdt0(sK16,xR,xw)
& aElement0(sK16)
& aReductOfIn0(sK16,xv,xR) ) ) )
| xv = xw )
& ( xu = xw
| ( ( ( aElement0(sK17)
& sdtmndtplgtdt0(sK17,xR,xw)
& aReductOfIn0(sK17,xu,xR) )
| aReductOfIn0(xw,xu,xR) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f94,f96,f95]) ).
fof(f95,plain,
( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xw)
& aElement0(X0)
& aReductOfIn0(X0,xv,xR) )
=> ( sdtmndtplgtdt0(sK16,xR,xw)
& aElement0(sK16)
& aReductOfIn0(sK16,xv,xR) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X1] :
( aElement0(X1)
& sdtmndtplgtdt0(X1,xR,xw)
& aReductOfIn0(X1,xu,xR) )
=> ( aElement0(sK17)
& sdtmndtplgtdt0(sK17,xR,xw)
& aReductOfIn0(sK17,xu,xR) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( aReductOfIn0(xw,xv,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xw)
& aElement0(X0)
& aReductOfIn0(X0,xv,xR) ) ) )
| xv = xw )
& ( xu = xw
| ( ( ? [X1] :
( aElement0(X1)
& sdtmndtplgtdt0(X1,xR,xw)
& aReductOfIn0(X1,xu,xR) )
| aReductOfIn0(xw,xu,xR) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
( ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( aReductOfIn0(xw,xv,xR)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,xw)
& aElement0(X1)
& aReductOfIn0(X1,xv,xR) ) ) )
| xv = xw )
& ( xu = xw
| ( ( ? [X0] :
( aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xw)
& aReductOfIn0(X0,xu,xR) )
| aReductOfIn0(xw,xu,xR) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
( ( xu = xw
| ( ( ? [X0] :
( aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xw)
& aReductOfIn0(X0,xu,xR) )
| aReductOfIn0(xw,xu,xR) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( aReductOfIn0(xw,xv,xR)
| ? [X0] :
( aReductOfIn0(X0,xv,xR)
& aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xw) ) ) )
| xv = xw )
& sdtmndtasgtdt0(xv,xR,xw)
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:51:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (3044)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)
% 0.18/0.49 % (3056)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)
% 0.18/0.50 % (3048)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.50 % (3036)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50 % (3054)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (3036)First to succeed.
% 0.18/0.51 % (3040)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)
% 0.18/0.51 % (3062)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (3054)Instruction limit reached!
% 0.18/0.52 % (3054)------------------------------
% 0.18/0.52 % (3054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (3054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3054)Termination reason: Unknown
% 0.18/0.52 % (3054)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (3054)Memory used [KB]: 1535
% 0.18/0.52 % (3054)Time elapsed: 0.005 s
% 0.18/0.52 % (3054)Instructions burned: 3 (million)
% 0.18/0.52 % (3054)------------------------------
% 0.18/0.52 % (3054)------------------------------
% 0.18/0.52 % (3065)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.53 % (3038)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)
% 0.18/0.53 % (3058)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)
% 0.18/0.53 % (3059)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)
% 0.18/0.53 % (3039)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (3041)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.53 % (3038)Instruction limit reached!
% 0.18/0.53 % (3038)------------------------------
% 0.18/0.53 % (3038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (3038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (3038)Termination reason: Unknown
% 0.18/0.53 % (3038)Termination phase: Property scanning
% 0.18/0.53
% 0.18/0.53 % (3038)Memory used [KB]: 1535
% 0.18/0.53 % (3038)Time elapsed: 0.003 s
% 0.18/0.53 % (3038)Instructions burned: 4 (million)
% 0.18/0.53 % (3038)------------------------------
% 0.18/0.53 % (3038)------------------------------
% 0.18/0.53 % (3045)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)
% 0.18/0.53 % (3044)Also succeeded, but the first one will report.
% 0.18/0.53 % (3036)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (3036)------------------------------
% 0.18/0.53 % (3036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (3036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (3036)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (3036)Memory used [KB]: 6396
% 0.18/0.53 % (3036)Time elapsed: 0.116 s
% 0.18/0.53 % (3036)Instructions burned: 14 (million)
% 0.18/0.53 % (3036)------------------------------
% 0.18/0.53 % (3036)------------------------------
% 0.18/0.53 % (3035)Success in time 0.185 s
%------------------------------------------------------------------------------