TSTP Solution File: COM013+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM013+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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:53:09 EDT 2022
% Result : Theorem 1.89s 0.62s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 143 ( 6 unt; 0 def)
% Number of atoms : 713 ( 17 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 988 ( 418 ~; 419 |; 98 &)
% ( 22 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 7 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 279 ( 243 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f869,plain,
$false,
inference(avatar_sat_refutation,[],[f327,f369,f398,f462,f538,f784,f868]) ).
fof(f868,plain,
( spl18_17
| ~ spl18_15
| ~ spl18_16
| ~ spl18_26
| ~ spl18_27
| spl18_45 ),
inference(avatar_split_clause,[],[f867,f781,f460,f456,f321,f317,f325]) ).
fof(f325,plain,
( spl18_17
<=> ! [X0] :
( aNormalFormOfIn0(sK12,X0,xR)
| ~ sdtmndtasgtdt0(X0,xR,sK12)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f317,plain,
( spl18_15
<=> aElement0(sK11(xR,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).
fof(f321,plain,
( spl18_16
<=> aNormalFormOfIn0(sK13(sK11(xR,sK12)),sK11(xR,sK12),xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).
fof(f456,plain,
( spl18_26
<=> aElement0(sK13(sK11(xR,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
fof(f460,plain,
( spl18_27
<=> ! [X0] :
( aNormalFormOfIn0(sK13(sK11(xR,sK12)),X0,xR)
| ~ sdtmndtasgtdt0(X0,xR,sK13(sK11(xR,sK12)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
fof(f781,plain,
( spl18_45
<=> sdtmndtplgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_45])]) ).
fof(f867,plain,
( ! [X0] :
( ~ aElement0(X0)
| aNormalFormOfIn0(sK12,X0,xR)
| ~ sdtmndtasgtdt0(X0,xR,sK12) )
| ~ spl18_15
| ~ spl18_16
| ~ spl18_26
| ~ spl18_27
| spl18_45 ),
inference(subsumption_resolution,[],[f864,f127]) ).
fof(f127,plain,
aElement0(sK12),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ! [X1] : ~ aNormalFormOfIn0(X1,sK12,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,sK12)
| aNormalFormOfIn0(sK13(X2),X2,xR) )
& aElement0(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f83,f85,f84]) ).
fof(f84,plain,
( ? [X0] :
( ! [X1] : ~ aNormalFormOfIn0(X1,X0,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,X0)
| ? [X3] : aNormalFormOfIn0(X3,X2,xR) )
& aElement0(X0) )
=> ( ! [X1] : ~ aNormalFormOfIn0(X1,sK12,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,sK12)
| ? [X3] : aNormalFormOfIn0(X3,X2,xR) )
& aElement0(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X2] :
( ? [X3] : aNormalFormOfIn0(X3,X2,xR)
=> aNormalFormOfIn0(sK13(X2),X2,xR) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( ! [X1] : ~ aNormalFormOfIn0(X1,X0,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ iLess0(X2,X0)
| ? [X3] : aNormalFormOfIn0(X3,X2,xR) )
& aElement0(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X0] :
( ! [X3] : ~ aNormalFormOfIn0(X3,X0,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ iLess0(X1,X0)
| ? [X2] : aNormalFormOfIn0(X2,X1,xR) )
& aElement0(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X0] :
( ! [X3] : ~ aNormalFormOfIn0(X3,X0,xR)
& ! [X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,xR)
| ~ iLess0(X1,X0)
| ~ aElement0(X1) )
& aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) )
=> ? [X3] : aNormalFormOfIn0(X3,X0,xR) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) )
=> ? [X1] : aNormalFormOfIn0(X1,X0,xR) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] : aNormalFormOfIn0(X2,X1,xR) ) )
=> ? [X1] : aNormalFormOfIn0(X1,X0,xR) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f864,plain,
( ! [X0] :
( ~ aElement0(sK12)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,sK12)
| aNormalFormOfIn0(sK12,X0,xR) )
| ~ spl18_15
| ~ spl18_16
| ~ spl18_26
| ~ spl18_27
| spl18_45 ),
inference(resolution,[],[f826,f156]) ).
fof(f156,plain,
! [X26,X25] :
( aReductOfIn0(sK11(xR,X25),X25,xR)
| ~ aElement0(X26)
| aNormalFormOfIn0(X25,X26,xR)
| ~ sdtmndtasgtdt0(X26,xR,X25)
| ~ aElement0(X25) ),
inference(resolution,[],[f99,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK11(X1,X2),X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| aReductOfIn0(sK11(X1,X2),X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f80,f81]) ).
fof(f81,plain,
! [X1,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X1)
=> aReductOfIn0(sK11(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ~ aRewritingSystem0(X0)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ? [X3] : aReductOfIn0(X3,X2,X0) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X1,X0,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X0) )
| ~ aNormalFormOfIn0(X2,X1,X0) ) )
| ~ aElement0(X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( ~ aRewritingSystem0(X0)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ? [X3] : aReductOfIn0(X3,X2,X0) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X1,X0,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X0) )
| ~ aNormalFormOfIn0(X2,X1,X0) ) )
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ~ aRewritingSystem0(X0)
| ! [X2] :
( aNormalFormOfIn0(X2,X1,X0)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X1,X0,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X0) ) )
| ~ aElement0(X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X1,X0)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X1,X0,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X0) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( aRewritingSystem0(X0)
& aElement0(X1) )
=> ! [X2] :
( ( aElement0(X2)
& sdtmndtasgtdt0(X1,X0,X2)
& ~ ? [X3] : aReductOfIn0(X3,X2,X0) )
<=> aNormalFormOfIn0(X2,X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
<=> aNormalFormOfIn0(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
fof(f99,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( isTerminating0(xR)
& aRewritingSystem0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__587) ).
fof(f826,plain,
( ~ aReductOfIn0(sK11(xR,sK12),sK12,xR)
| ~ spl18_15
| ~ spl18_16
| ~ spl18_26
| ~ spl18_27
| spl18_45 ),
inference(backward_demodulation,[],[f777,f815]) ).
fof(f815,plain,
( sK13(sK11(xR,sK12)) = sK11(xR,sK12)
| ~ spl18_15
| ~ spl18_16
| ~ spl18_26
| spl18_45 ),
inference(subsumption_resolution,[],[f814,f457]) ).
fof(f457,plain,
( aElement0(sK13(sK11(xR,sK12)))
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f814,plain,
( sK13(sK11(xR,sK12)) = sK11(xR,sK12)
| ~ aElement0(sK13(sK11(xR,sK12)))
| ~ spl18_15
| ~ spl18_16
| spl18_45 ),
inference(subsumption_resolution,[],[f813,f402]) ).
fof(f402,plain,
( sdtmndtasgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| ~ spl18_15
| ~ spl18_16 ),
inference(subsumption_resolution,[],[f400,f318]) ).
fof(f318,plain,
( aElement0(sK11(xR,sK12))
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f400,plain,
( ~ aElement0(sK11(xR,sK12))
| sdtmndtasgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| ~ spl18_16 ),
inference(resolution,[],[f323,f154]) ).
fof(f154,plain,
! [X21,X22] :
( ~ aNormalFormOfIn0(X22,X21,xR)
| sdtmndtasgtdt0(X21,xR,X22)
| ~ aElement0(X21) ),
inference(resolution,[],[f99,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f323,plain,
( aNormalFormOfIn0(sK13(sK11(xR,sK12)),sK11(xR,sK12),xR)
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f813,plain,
( sK13(sK11(xR,sK12)) = sK11(xR,sK12)
| ~ sdtmndtasgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| ~ aElement0(sK13(sK11(xR,sK12)))
| ~ spl18_15
| spl18_45 ),
inference(subsumption_resolution,[],[f811,f318]) ).
fof(f811,plain,
( ~ aElement0(sK11(xR,sK12))
| ~ aElement0(sK13(sK11(xR,sK12)))
| ~ sdtmndtasgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| sK13(sK11(xR,sK12)) = sK11(xR,sK12)
| spl18_45 ),
inference(resolution,[],[f783,f146]) ).
fof(f146,plain,
! [X2,X3] :
( sdtmndtplgtdt0(X2,xR,X3)
| X2 = X3
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ aElement0(X2) ),
inference(resolution,[],[f99,f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X1,X0,X2)
| ( ~ sdtmndtplgtdt0(X1,X0,X2)
& X1 != X2 ) )
& ( sdtmndtplgtdt0(X1,X0,X2)
| X1 = X2
| ~ sdtmndtasgtdt0(X1,X0,X2) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X0,X2,X1] :
( ( ( sdtmndtasgtdt0(X2,X0,X1)
| ( ~ sdtmndtplgtdt0(X2,X0,X1)
& X1 != X2 ) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| X1 = X2
| ~ sdtmndtasgtdt0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X2,X1] :
( ( ( sdtmndtasgtdt0(X2,X0,X1)
| ( ~ sdtmndtplgtdt0(X2,X0,X1)
& X1 != X2 ) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| X1 = X2
| ~ sdtmndtasgtdt0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X2,X1] :
( ( sdtmndtasgtdt0(X2,X0,X1)
<=> ( sdtmndtplgtdt0(X2,X0,X1)
| X1 = X2 ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ( sdtmndtasgtdt0(X2,X0,X1)
<=> ( sdtmndtplgtdt0(X2,X0,X1)
| X1 = X2 ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X0)
& aElement0(X2) )
=> ( sdtmndtasgtdt0(X2,X0,X1)
<=> ( sdtmndtplgtdt0(X2,X0,X1)
| X1 = X2 ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X2,X0] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2) )
=> ( ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) )
<=> sdtmndtasgtdt0(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(f783,plain,
( ~ sdtmndtplgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| spl18_45 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f777,plain,
( ~ aReductOfIn0(sK13(sK11(xR,sK12)),sK12,xR)
| ~ spl18_26
| ~ spl18_27 ),
inference(subsumption_resolution,[],[f776,f127]) ).
fof(f776,plain,
( ~ aReductOfIn0(sK13(sK11(xR,sK12)),sK12,xR)
| ~ aElement0(sK12)
| ~ spl18_26
| ~ spl18_27 ),
inference(resolution,[],[f769,f161]) ).
fof(f161,plain,
! [X10,X9] :
( sdtmndtplgtdt0(X9,xR,X10)
| ~ aReductOfIn0(X10,X9,xR)
| ~ aElement0(X9) ),
inference(subsumption_resolution,[],[f149,f145]) ).
fof(f145,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X1,X0,xR) ),
inference(resolution,[],[f99,f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| aElement0(X2)
| ~ aReductOfIn0(X2,X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| ! [X2] :
( ~ aReductOfIn0(X2,X1,X0)
| aElement0(X2) )
| ~ aElement0(X1) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ~ aRewritingSystem0(X1)
| ! [X2] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) )
| ~ aElement0(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ! [X2] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
fof(f149,plain,
! [X10,X9] :
( ~ aReductOfIn0(X10,X9,xR)
| ~ aElement0(X9)
| ~ aElement0(X10)
| sdtmndtplgtdt0(X9,xR,X10) ),
inference(resolution,[],[f99,f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X2,X0,X1)
| ~ aReductOfIn0(X1,X2,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ( ( aReductOfIn0(sK4(X0,X1,X2),X2,X0)
& sdtmndtplgtdt0(sK4(X0,X1,X2),X0,X1)
& aElement0(sK4(X0,X1,X2)) )
| aReductOfIn0(X1,X2,X0)
| ~ sdtmndtplgtdt0(X2,X0,X1) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| ( ! [X4] :
( ~ aReductOfIn0(X4,X2,X0)
| ~ sdtmndtplgtdt0(X4,X0,X1)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X1,X2,X0) ) ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f65,f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ? [X3] :
( aReductOfIn0(X3,X2,X0)
& sdtmndtplgtdt0(X3,X0,X1)
& aElement0(X3) )
=> ( aReductOfIn0(sK4(X0,X1,X2),X2,X0)
& sdtmndtplgtdt0(sK4(X0,X1,X2),X0,X1)
& aElement0(sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aReductOfIn0(X3,X2,X0)
& sdtmndtplgtdt0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X1,X2,X0)
| ~ sdtmndtplgtdt0(X2,X0,X1) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| ( ! [X4] :
( ~ aReductOfIn0(X4,X2,X0)
| ~ sdtmndtplgtdt0(X4,X0,X1)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X1,X2,X0) ) ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aReductOfIn0(X3,X2,X1)
& sdtmndtplgtdt0(X3,X1,X0)
& aElement0(X3) )
| aReductOfIn0(X0,X2,X1)
| ~ sdtmndtplgtdt0(X2,X1,X0) )
& ( sdtmndtplgtdt0(X2,X1,X0)
| ( ! [X3] :
( ~ aReductOfIn0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X3,X1,X0)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X0,X2,X1) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X0,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aReductOfIn0(X3,X2,X1)
& sdtmndtplgtdt0(X3,X1,X0)
& aElement0(X3) )
| aReductOfIn0(X0,X2,X1)
| ~ sdtmndtplgtdt0(X2,X1,X0) )
& ( sdtmndtplgtdt0(X2,X1,X0)
| ( ! [X3] :
( ~ aReductOfIn0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X3,X1,X0)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X0,X2,X1) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aReductOfIn0(X3,X2,X1)
& sdtmndtplgtdt0(X3,X1,X0)
& aElement0(X3) )
| aReductOfIn0(X0,X2,X1) )
<=> sdtmndtplgtdt0(X2,X1,X0) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( ( ? [X3] :
( aReductOfIn0(X3,X2,X1)
& sdtmndtplgtdt0(X3,X1,X0)
& aElement0(X3) )
| aReductOfIn0(X0,X2,X1) )
<=> sdtmndtplgtdt0(X2,X1,X0) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( aRewritingSystem0(X1)
& aElement0(X0)
& aElement0(X2) )
=> ( ( ? [X3] :
( aReductOfIn0(X3,X2,X1)
& sdtmndtplgtdt0(X3,X1,X0)
& aElement0(X3) )
| aReductOfIn0(X0,X2,X1) )
<=> sdtmndtplgtdt0(X2,X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(f769,plain,
( ~ sdtmndtplgtdt0(sK12,xR,sK13(sK11(xR,sK12)))
| ~ spl18_26
| ~ spl18_27 ),
inference(subsumption_resolution,[],[f768,f127]) ).
fof(f768,plain,
( ~ sdtmndtplgtdt0(sK12,xR,sK13(sK11(xR,sK12)))
| ~ aElement0(sK12)
| ~ spl18_26
| ~ spl18_27 ),
inference(subsumption_resolution,[],[f765,f457]) ).
fof(f765,plain,
( ~ aElement0(sK13(sK11(xR,sK12)))
| ~ sdtmndtplgtdt0(sK12,xR,sK13(sK11(xR,sK12)))
| ~ aElement0(sK12)
| ~ spl18_27 ),
inference(resolution,[],[f758,f147]) ).
fof(f147,plain,
! [X4,X5] :
( sdtmndtasgtdt0(X4,xR,X5)
| ~ sdtmndtplgtdt0(X4,xR,X5)
| ~ aElement0(X4)
| ~ aElement0(X5) ),
inference(resolution,[],[f99,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X1,X0,X2)
| ~ sdtmndtplgtdt0(X1,X0,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f758,plain,
( ~ sdtmndtasgtdt0(sK12,xR,sK13(sK11(xR,sK12)))
| ~ spl18_27 ),
inference(subsumption_resolution,[],[f753,f127]) ).
fof(f753,plain,
( ~ aElement0(sK12)
| ~ sdtmndtasgtdt0(sK12,xR,sK13(sK11(xR,sK12)))
| ~ spl18_27 ),
inference(resolution,[],[f461,f129]) ).
fof(f129,plain,
! [X1] : ~ aNormalFormOfIn0(X1,sK12,xR),
inference(cnf_transformation,[],[f86]) ).
fof(f461,plain,
( ! [X0] :
( aNormalFormOfIn0(sK13(sK11(xR,sK12)),X0,xR)
| ~ sdtmndtasgtdt0(X0,xR,sK13(sK11(xR,sK12)))
| ~ aElement0(X0) )
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f784,plain,
( spl18_17
| ~ spl18_45
| ~ spl18_26
| ~ spl18_27 ),
inference(avatar_split_clause,[],[f779,f460,f456,f781,f325]) ).
fof(f779,plain,
( ! [X1] :
( ~ sdtmndtplgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,sK12)
| aNormalFormOfIn0(sK12,X1,xR) )
| ~ spl18_26
| ~ spl18_27 ),
inference(subsumption_resolution,[],[f778,f127]) ).
fof(f778,plain,
( ! [X1] :
( ~ aElement0(X1)
| ~ aElement0(sK12)
| aNormalFormOfIn0(sK12,X1,xR)
| ~ sdtmndtplgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| ~ sdtmndtasgtdt0(X1,xR,sK12) )
| ~ spl18_26
| ~ spl18_27 ),
inference(subsumption_resolution,[],[f773,f457]) ).
fof(f773,plain,
( ! [X1] :
( ~ aElement0(sK13(sK11(xR,sK12)))
| ~ aElement0(sK12)
| ~ sdtmndtplgtdt0(sK11(xR,sK12),xR,sK13(sK11(xR,sK12)))
| ~ sdtmndtasgtdt0(X1,xR,sK12)
| aNormalFormOfIn0(sK12,X1,xR)
| ~ aElement0(X1) )
| ~ spl18_26
| ~ spl18_27 ),
inference(resolution,[],[f769,f231]) ).
fof(f231,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK11(xR,X1),xR,X2)
| aNormalFormOfIn0(X1,X0,xR) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtplgtdt0(sK11(xR,X1),xR,X2)
| ~ aElement0(X1)
| aNormalFormOfIn0(X1,X0,xR)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f156,f160]) ).
fof(f160,plain,
! [X11,X12,X13] :
( ~ aReductOfIn0(X13,X11,xR)
| ~ aElement0(X11)
| ~ sdtmndtplgtdt0(X13,xR,X12)
| sdtmndtplgtdt0(X11,xR,X12)
| ~ aElement0(X12) ),
inference(subsumption_resolution,[],[f150,f145]) ).
fof(f150,plain,
! [X11,X12,X13] :
( ~ aReductOfIn0(X13,X11,xR)
| ~ aElement0(X12)
| ~ aElement0(X13)
| ~ sdtmndtplgtdt0(X13,xR,X12)
| sdtmndtplgtdt0(X11,xR,X12)
| ~ aElement0(X11) ),
inference(resolution,[],[f99,f102]) ).
fof(f102,plain,
! [X2,X0,X1,X4] :
( ~ aRewritingSystem0(X0)
| sdtmndtplgtdt0(X2,X0,X1)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X4,X0,X1)
| ~ aReductOfIn0(X4,X2,X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f538,plain,
( ~ spl18_15
| ~ spl18_16
| spl18_26 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl18_15
| ~ spl18_16
| spl18_26 ),
inference(subsumption_resolution,[],[f532,f318]) ).
fof(f532,plain,
( ~ aElement0(sK11(xR,sK12))
| ~ spl18_16
| spl18_26 ),
inference(resolution,[],[f474,f323]) ).
fof(f474,plain,
( ! [X0] :
( ~ aNormalFormOfIn0(sK13(sK11(xR,sK12)),X0,xR)
| ~ aElement0(X0) )
| spl18_26 ),
inference(resolution,[],[f458,f155]) ).
fof(f155,plain,
! [X24,X23] :
( aElement0(X23)
| ~ aElement0(X24)
| ~ aNormalFormOfIn0(X23,X24,xR) ),
inference(resolution,[],[f99,f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| aElement0(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f458,plain,
( ~ aElement0(sK13(sK11(xR,sK12)))
| spl18_26 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f462,plain,
( ~ spl18_26
| spl18_27
| ~ spl18_15
| ~ spl18_16 ),
inference(avatar_split_clause,[],[f453,f321,f317,f460,f456]) ).
fof(f453,plain,
( ! [X0] :
( aNormalFormOfIn0(sK13(sK11(xR,sK12)),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,sK13(sK11(xR,sK12)))
| ~ aElement0(sK13(sK11(xR,sK12))) )
| ~ spl18_15
| ~ spl18_16 ),
inference(resolution,[],[f403,f156]) ).
fof(f403,plain,
( ! [X0] : ~ aReductOfIn0(X0,sK13(sK11(xR,sK12)),xR)
| ~ spl18_15
| ~ spl18_16 ),
inference(subsumption_resolution,[],[f401,f318]) ).
fof(f401,plain,
( ! [X0] :
( ~ aElement0(sK11(xR,sK12))
| ~ aReductOfIn0(X0,sK13(sK11(xR,sK12)),xR) )
| ~ spl18_16 ),
inference(resolution,[],[f323,f153]) ).
fof(f153,plain,
! [X18,X19,X20] :
( ~ aNormalFormOfIn0(X18,X19,xR)
| ~ aReductOfIn0(X20,X18,xR)
| ~ aElement0(X19) ),
inference(resolution,[],[f99,f123]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( ~ aRewritingSystem0(X1)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X4,X2,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f398,plain,
~ spl18_17,
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl18_17 ),
inference(subsumption_resolution,[],[f392,f127]) ).
fof(f392,plain,
( ~ aElement0(sK12)
| ~ spl18_17 ),
inference(resolution,[],[f382,f159]) ).
fof(f159,plain,
! [X30] :
( sdtmndtasgtdt0(X30,xR,X30)
| ~ aElement0(X30) ),
inference(resolution,[],[f99,f144]) ).
fof(f144,plain,
! [X2,X0] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,X0,X2) ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f143,plain,
! [X2,X0] :
( ~ aElement0(X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X0)
| sdtmndtasgtdt0(X2,X0,X2) ),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X1,X0,X2)
| X1 != X2
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f382,plain,
( ~ sdtmndtasgtdt0(sK12,xR,sK12)
| ~ spl18_17 ),
inference(subsumption_resolution,[],[f370,f127]) ).
fof(f370,plain,
( ~ sdtmndtasgtdt0(sK12,xR,sK12)
| ~ aElement0(sK12)
| ~ spl18_17 ),
inference(resolution,[],[f326,f129]) ).
fof(f326,plain,
( ! [X0] :
( aNormalFormOfIn0(sK12,X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,sK12) )
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f369,plain,
( spl18_17
| spl18_15 ),
inference(avatar_split_clause,[],[f368,f317,f325]) ).
fof(f368,plain,
( ! [X0] :
( aNormalFormOfIn0(sK12,X0,xR)
| ~ sdtmndtasgtdt0(X0,xR,sK12)
| ~ aElement0(X0) )
| spl18_15 ),
inference(subsumption_resolution,[],[f367,f127]) ).
fof(f367,plain,
( ! [X0] :
( ~ aElement0(sK12)
| aNormalFormOfIn0(sK12,X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,sK12) )
| spl18_15 ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f366,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK12)
| ~ aElement0(sK12)
| aNormalFormOfIn0(sK12,X0,xR)
| ~ sdtmndtasgtdt0(X0,xR,sK12) )
| spl18_15 ),
inference(resolution,[],[f329,f156]) ).
fof(f329,plain,
( ! [X1] :
( ~ aReductOfIn0(sK11(xR,sK12),X1,xR)
| ~ aElement0(X1) )
| spl18_15 ),
inference(resolution,[],[f319,f145]) ).
fof(f319,plain,
( ~ aElement0(sK11(xR,sK12))
| spl18_15 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f327,plain,
( ~ spl18_15
| spl18_16
| spl18_17 ),
inference(avatar_split_clause,[],[f315,f325,f321,f317]) ).
fof(f315,plain,
! [X0] :
( aNormalFormOfIn0(sK12,X0,xR)
| aNormalFormOfIn0(sK13(sK11(xR,sK12)),sK11(xR,sK12),xR)
| ~ aElement0(X0)
| ~ aElement0(sK11(xR,sK12))
| ~ sdtmndtasgtdt0(X0,xR,sK12) ),
inference(subsumption_resolution,[],[f314,f127]) ).
fof(f314,plain,
! [X0] :
( aNormalFormOfIn0(sK12,X0,xR)
| ~ aElement0(sK11(xR,sK12))
| aNormalFormOfIn0(sK13(sK11(xR,sK12)),sK11(xR,sK12),xR)
| ~ sdtmndtasgtdt0(X0,xR,sK12)
| ~ aElement0(X0)
| ~ aElement0(sK12) ),
inference(resolution,[],[f230,f128]) ).
fof(f128,plain,
! [X2] :
( ~ iLess0(X2,sK12)
| ~ aElement0(X2)
| aNormalFormOfIn0(sK13(X2),X2,xR) ),
inference(cnf_transformation,[],[f86]) ).
fof(f230,plain,
! [X3,X4] :
( iLess0(sK11(xR,X4),X4)
| ~ sdtmndtasgtdt0(X3,xR,X4)
| ~ aElement0(X4)
| ~ aElement0(X3)
| aNormalFormOfIn0(X4,X3,xR) ),
inference(duplicate_literal_removal,[],[f229]) ).
fof(f229,plain,
! [X3,X4] :
( iLess0(sK11(xR,X4),X4)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| aNormalFormOfIn0(X4,X3,xR)
| ~ sdtmndtasgtdt0(X3,xR,X4) ),
inference(resolution,[],[f156,f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| iLess0(X0,X1) ),
inference(subsumption_resolution,[],[f181,f145]) ).
fof(f181,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X0,X1,xR) ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X0)
| iLess0(X0,X1)
| ~ aElement0(X1) ),
inference(resolution,[],[f163,f161]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X0,xR,X1)
| iLess0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f162,f99]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aRewritingSystem0(xR)
| ~ sdtmndtplgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| iLess0(X1,X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f100,f118]) ).
fof(f118,plain,
! [X3,X0,X4] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtplgtdt0(X4,X0,X3)
| ~ aElement0(X4)
| ~ aElement0(X3)
| iLess0(X3,X4) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ( ~ iLess0(sK9(X0),sK10(X0))
& sdtmndtplgtdt0(sK10(X0),X0,sK9(X0))
& aElement0(sK9(X0))
& aElement0(sK10(X0)) ) )
& ( ! [X3,X4] :
( iLess0(X3,X4)
| ~ sdtmndtplgtdt0(X4,X0,X3)
| ~ aElement0(X3)
| ~ aElement0(X4) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f75,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1,X2] :
( ~ iLess0(X1,X2)
& sdtmndtplgtdt0(X2,X0,X1)
& aElement0(X1)
& aElement0(X2) )
=> ( ~ iLess0(sK9(X0),sK10(X0))
& sdtmndtplgtdt0(sK10(X0),X0,sK9(X0))
& aElement0(sK9(X0))
& aElement0(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X1,X2)
& sdtmndtplgtdt0(X2,X0,X1)
& aElement0(X1)
& aElement0(X2) ) )
& ( ! [X3,X4] :
( iLess0(X3,X4)
| ~ sdtmndtplgtdt0(X4,X0,X3)
| ~ aElement0(X3)
| ~ aElement0(X4) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X1,X2)
& sdtmndtplgtdt0(X2,X0,X1)
& aElement0(X1)
& aElement0(X2) ) )
& ( ! [X1,X2] :
( iLess0(X1,X2)
| ~ sdtmndtplgtdt0(X2,X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X1,X2)
| ~ sdtmndtplgtdt0(X2,X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( ! [X1,X2] :
( iLess0(X1,X2)
| ~ sdtmndtplgtdt0(X2,X0,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) )
<=> isTerminating0(X0) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( aRewritingSystem0(X0)
=> ( ! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X2,X0,X1)
=> iLess0(X1,X2) ) )
<=> isTerminating0(X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( ! [X2,X1] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) )
<=> isTerminating0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).
fof(f100,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM013+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 : n022.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 17:05:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (9286)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 % (9294)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50 % (9278)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 % (9279)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (9274)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)
% 0.18/0.51 % (9295)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)
% 0.18/0.51 % (9279)Refutation not found, incomplete strategy% (9279)------------------------------
% 0.18/0.51 % (9279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9279)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (9279)Memory used [KB]: 6012
% 0.18/0.51 % (9279)Time elapsed: 0.112 s
% 0.18/0.51 % (9279)Instructions burned: 2 (million)
% 0.18/0.51 % (9279)------------------------------
% 0.18/0.51 % (9279)------------------------------
% 0.18/0.51 % (9271)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)
% 0.18/0.51 % (9266)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (9270)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)
% 0.18/0.52 % (9289)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)
% 0.18/0.52 % (9268)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)
% 0.18/0.52 % (9294)Instruction limit reached!
% 0.18/0.52 % (9294)------------------------------
% 0.18/0.52 % (9294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9294)Termination reason: Unknown
% 0.18/0.52 % (9294)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (9294)Memory used [KB]: 6140
% 0.18/0.52 % (9288)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)
% 0.18/0.52 % (9294)Time elapsed: 0.127 s
% 0.18/0.52 % (9294)Instructions burned: 8 (million)
% 0.18/0.52 % (9294)------------------------------
% 0.18/0.52 % (9294)------------------------------
% 0.18/0.52 % (9269)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)
% 0.18/0.52 % (9287)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (9268)Instruction limit reached!
% 0.18/0.52 % (9268)------------------------------
% 0.18/0.52 % (9268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9268)Termination reason: Unknown
% 0.18/0.52 % (9268)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (9268)Memory used [KB]: 6012
% 0.18/0.52 % (9268)Time elapsed: 0.127 s
% 0.18/0.52 % (9268)Instructions burned: 4 (million)
% 0.18/0.52 % (9268)------------------------------
% 0.18/0.52 % (9268)------------------------------
% 0.18/0.52 % (9267)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)
% 0.18/0.52 % (9275)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)
% 0.18/0.52 % (9269)Refutation not found, incomplete strategy% (9269)------------------------------
% 0.18/0.52 % (9269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9269)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (9269)Memory used [KB]: 5884
% 0.18/0.52 % (9269)Time elapsed: 0.125 s
% 0.18/0.52 % (9269)Instructions burned: 2 (million)
% 0.18/0.52 % (9269)------------------------------
% 0.18/0.52 % (9269)------------------------------
% 0.18/0.52 % (9276)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)
% 0.18/0.52 % (9275)Refutation not found, incomplete strategy% (9275)------------------------------
% 0.18/0.52 % (9275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9275)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (9275)Memory used [KB]: 6012
% 0.18/0.52 % (9275)Time elapsed: 0.126 s
% 0.18/0.52 % (9275)Instructions burned: 3 (million)
% 0.18/0.52 % (9275)------------------------------
% 0.18/0.52 % (9275)------------------------------
% 0.18/0.52 % (9277)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)
% 0.18/0.53 % (9290)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (9276)Instruction limit reached!
% 0.18/0.53 % (9276)------------------------------
% 0.18/0.53 % (9276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9276)Termination reason: Unknown
% 0.18/0.53 % (9276)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (9276)Memory used [KB]: 6140
% 0.18/0.53 % (9276)Time elapsed: 0.129 s
% 0.18/0.53 % (9276)Instructions burned: 12 (million)
% 0.18/0.53 % (9276)------------------------------
% 0.18/0.53 % (9276)------------------------------
% 0.18/0.53 % (9277)Instruction limit reached!
% 0.18/0.53 % (9277)------------------------------
% 0.18/0.53 % (9277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9280)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)
% 0.18/0.53 % (9277)Termination reason: Unknown
% 0.18/0.53 % (9277)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (9277)Memory used [KB]: 6140
% 0.18/0.53 % (9277)Time elapsed: 0.137 s
% 0.18/0.53 % (9277)Instructions burned: 8 (million)
% 0.18/0.53 % (9277)------------------------------
% 0.18/0.53 % (9277)------------------------------
% 0.18/0.53 % (9286)Instruction limit reached!
% 0.18/0.53 % (9286)------------------------------
% 0.18/0.53 % (9286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9286)Termination reason: Unknown
% 0.18/0.53 % (9286)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (9286)Memory used [KB]: 6268
% 0.18/0.53 % (9286)Time elapsed: 0.122 s
% 0.18/0.53 % (9286)Instructions burned: 30 (million)
% 0.18/0.53 % (9286)------------------------------
% 0.18/0.53 % (9286)------------------------------
% 0.18/0.53 % (9278)Instruction limit reached!
% 0.18/0.53 % (9278)------------------------------
% 0.18/0.53 % (9278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9278)Termination reason: Unknown
% 0.18/0.53 % (9278)Termination phase: Saturation
% 0.18/0.53 % (9280)Instruction limit reached!
% 0.18/0.53 % (9280)------------------------------
% 0.18/0.53 % (9280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9280)Termination reason: Unknown
% 0.18/0.53 % (9280)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (9280)Memory used [KB]: 6012
% 0.18/0.53 % (9280)Time elapsed: 0.004 s
% 0.18/0.53 % (9280)Instructions burned: 4 (million)
% 0.18/0.53 % (9280)------------------------------
% 0.18/0.53 % (9280)------------------------------
% 0.18/0.53 % (9292)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)
% 0.18/0.53 % (9291)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.53 % (9281)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)
% 0.18/0.53 % (9282)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (9293)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.53 % (9272)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)
% 0.18/0.54 % (9273)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.54 % (9283)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.54 % (9295)Instruction limit reached!
% 0.18/0.54 % (9295)------------------------------
% 0.18/0.54 % (9295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (9295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (9295)Termination reason: Unknown
% 0.18/0.54 % (9295)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (9295)Memory used [KB]: 6140
% 0.18/0.54 % (9295)Time elapsed: 0.149 s
% 0.18/0.54 % (9295)Instructions burned: 24 (million)
% 0.18/0.54 % (9295)------------------------------
% 0.18/0.54 % (9295)------------------------------
% 0.18/0.54 % (9283)Instruction limit reached!
% 0.18/0.54 % (9283)------------------------------
% 0.18/0.54 % (9283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (9283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (9283)Termination reason: Unknown
% 0.18/0.54 % (9283)Termination phase: Finite model building preprocessing
% 0.18/0.54
% 0.18/0.54 % (9283)Memory used [KB]: 1535
% 0.18/0.54 % (9283)Time elapsed: 0.003 s
% 0.18/0.54 % (9283)Instructions burned: 4 (million)
% 0.18/0.54 % (9283)------------------------------
% 0.18/0.54 % (9283)------------------------------
% 0.18/0.54 % (9270)Instruction limit reached!
% 0.18/0.54 % (9270)------------------------------
% 0.18/0.54 % (9270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (9270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (9270)Termination reason: Unknown
% 0.18/0.54 % (9270)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (9270)Memory used [KB]: 6012
% 0.18/0.54 % (9270)Time elapsed: 0.131 s
% 0.18/0.54 % (9270)Instructions burned: 13 (million)
% 0.18/0.54 % (9270)------------------------------
% 0.18/0.54 % (9270)------------------------------
% 0.18/0.54 % (9284)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)
% 0.18/0.54 % (9284)Instruction limit reached!
% 0.18/0.54 % (9284)------------------------------
% 0.18/0.54 % (9284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (9284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (9284)Termination reason: Unknown
% 0.18/0.54 % (9284)Termination phase: Property scanning
% 0.18/0.54
% 0.18/0.54 % (9284)Memory used [KB]: 1407
% 0.18/0.54 % (9284)Time elapsed: 0.003 s
% 0.18/0.54 % (9284)Instructions burned: 2 (million)
% 0.18/0.54 % (9284)------------------------------
% 0.18/0.54 % (9284)------------------------------
% 0.18/0.54 % (9271)Instruction limit reached!
% 0.18/0.54 % (9271)------------------------------
% 0.18/0.54 % (9271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (9271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (9271)Termination reason: Unknown
% 0.18/0.54 % (9271)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (9271)Memory used [KB]: 1663
% 0.18/0.54 % (9271)Time elapsed: 0.152 s
% 0.18/0.54 % (9271)Instructions burned: 16 (million)
% 0.18/0.54 % (9271)------------------------------
% 0.18/0.54 % (9271)------------------------------
% 0.18/0.54 % (9285)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.55 % (9285)Instruction limit reached!
% 0.18/0.55 % (9285)------------------------------
% 0.18/0.55 % (9285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (9285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (9285)Termination reason: Unknown
% 0.18/0.55 % (9285)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (9285)Memory used [KB]: 6140
% 0.18/0.55 % (9285)Time elapsed: 0.156 s
% 0.18/0.55 % (9285)Instructions burned: 11 (million)
% 0.18/0.55 % (9285)------------------------------
% 0.18/0.55 % (9285)------------------------------
% 0.18/0.55
% 0.18/0.55 % (9278)Memory used [KB]: 1663
% 0.18/0.55 % (9278)Time elapsed: 0.132 s
% 0.18/0.55 % (9278)Instructions burned: 16 (million)
% 0.18/0.55 % (9278)------------------------------
% 0.18/0.55 % (9278)------------------------------
% 0.18/0.55 % (9267)Instruction limit reached!
% 0.18/0.55 % (9267)------------------------------
% 0.18/0.55 % (9267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (9267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (9267)Termination reason: Unknown
% 0.18/0.55 % (9267)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (9267)Memory used [KB]: 6140
% 0.18/0.55 % (9267)Time elapsed: 0.156 s
% 0.18/0.55 % (9267)Instructions burned: 14 (million)
% 0.18/0.55 % (9267)------------------------------
% 0.18/0.55 % (9267)------------------------------
% 0.18/0.55 % (9281)Instruction limit reached!
% 0.18/0.55 % (9281)------------------------------
% 0.18/0.55 % (9281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (9281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (9281)Termination reason: Unknown
% 0.18/0.55 % (9281)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (9281)Memory used [KB]: 6012
% 0.18/0.55 % (9281)Time elapsed: 0.138 s
% 0.18/0.55 % (9281)Instructions burned: 7 (million)
% 0.18/0.55 % (9281)------------------------------
% 0.18/0.55 % (9281)------------------------------
% 1.78/0.58 % (9293)Instruction limit reached!
% 1.78/0.58 % (9293)------------------------------
% 1.78/0.58 % (9293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.58 % (9293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.58 % (9293)Termination reason: Unknown
% 1.78/0.58 % (9293)Termination phase: Saturation
% 1.78/0.58
% 1.78/0.58 % (9293)Memory used [KB]: 6396
% 1.78/0.58 % (9293)Time elapsed: 0.191 s
% 1.78/0.58 % (9293)Instructions burned: 25 (million)
% 1.78/0.58 % (9293)------------------------------
% 1.78/0.58 % (9293)------------------------------
% 1.89/0.58 % (9272)Instruction limit reached!
% 1.89/0.58 % (9272)------------------------------
% 1.89/0.58 % (9272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.59 % (9272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.59 % (9272)Termination reason: Unknown
% 1.89/0.59 % (9272)Termination phase: Saturation
% 1.89/0.59
% 1.89/0.59 % (9272)Memory used [KB]: 6140
% 1.89/0.59 % (9272)Time elapsed: 0.158 s
% 1.89/0.59 % (9272)Instructions burned: 40 (million)
% 1.89/0.59 % (9272)------------------------------
% 1.89/0.59 % (9272)------------------------------
% 1.89/0.60 % (9289)Instruction limit reached!
% 1.89/0.60 % (9289)------------------------------
% 1.89/0.60 % (9289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (9274)Instruction limit reached!
% 1.89/0.60 % (9274)------------------------------
% 1.89/0.60 % (9274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (9274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (9274)Termination reason: Unknown
% 1.89/0.60 % (9274)Termination phase: Saturation
% 1.89/0.60
% 1.89/0.60 % (9274)Memory used [KB]: 6652
% 1.89/0.60 % (9274)Time elapsed: 0.209 s
% 1.89/0.60 % (9274)Instructions burned: 50 (million)
% 1.89/0.60 % (9274)------------------------------
% 1.89/0.60 % (9274)------------------------------
% 1.89/0.61 % (9273)Instruction limit reached!
% 1.89/0.61 % (9273)------------------------------
% 1.89/0.61 % (9273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (9289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (9289)Termination reason: Unknown
% 1.89/0.61 % (9289)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (9289)Memory used [KB]: 1918
% 1.89/0.61 % (9289)Time elapsed: 0.184 s
% 1.89/0.61 % (9289)Instructions burned: 45 (million)
% 1.89/0.61 % (9289)------------------------------
% 1.89/0.61 % (9289)------------------------------
% 1.89/0.61 % (9290)Instruction limit reached!
% 1.89/0.61 % (9290)------------------------------
% 1.89/0.61 % (9290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (9273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (9273)Termination reason: Unknown
% 1.89/0.61 % (9273)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (9273)Memory used [KB]: 6652
% 1.89/0.61 % (9273)Time elapsed: 0.220 s
% 1.89/0.61 % (9273)Instructions burned: 40 (million)
% 1.89/0.61 % (9273)------------------------------
% 1.89/0.61 % (9273)------------------------------
% 1.89/0.61 % (9282)First to succeed.
% 1.89/0.62 % (9290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (9290)Termination reason: Unknown
% 1.89/0.62 % (9290)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (9290)Memory used [KB]: 6396
% 1.89/0.62 % (9290)Time elapsed: 0.223 s
% 1.89/0.62 % (9290)Instructions burned: 52 (million)
% 1.89/0.62 % (9290)------------------------------
% 1.89/0.62 % (9290)------------------------------
% 1.89/0.62 % (9282)Refutation found. Thanks to Tanya!
% 1.89/0.62 % SZS status Theorem for theBenchmark
% 1.89/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.63 % (9282)------------------------------
% 2.22/0.63 % (9282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.63 % (9282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63 % (9282)Termination reason: Refutation
% 2.22/0.63
% 2.22/0.63 % (9282)Memory used [KB]: 6652
% 2.22/0.63 % (9282)Time elapsed: 0.212 s
% 2.22/0.63 % (9282)Instructions burned: 41 (million)
% 2.22/0.63 % (9282)------------------------------
% 2.22/0.63 % (9282)------------------------------
% 2.22/0.63 % (9265)Success in time 0.267 s
%------------------------------------------------------------------------------