TSTP Solution File: SEU028+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:26:23 EDT 2022
% Result : Theorem 1.75s 0.57s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 143 ( 8 unt; 0 def)
% Number of atoms : 534 ( 126 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 665 ( 274 ~; 277 |; 74 &)
% ( 16 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 96 ( 89 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f483,plain,
$false,
inference(avatar_sat_refutation,[],[f180,f241,f272,f276,f336,f342,f360,f371,f377,f383,f420,f423,f482]) ).
fof(f482,plain,
( ~ spl8_26
| spl8_27 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl8_26
| spl8_27 ),
inference(subsumption_resolution,[],[f480,f118]) ).
fof(f118,plain,
function(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( relation(sK1)
& function(sK1)
& ( relation_composition(sK1,function_inverse(sK1)) != identity_relation(relation_dom(sK1))
| relation_composition(function_inverse(sK1),sK1) != identity_relation(relation_rng(sK1)) )
& one_to_one(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f60,f90]) ).
fof(f90,plain,
( ? [X0] :
( relation(X0)
& function(X0)
& ( relation_composition(X0,function_inverse(X0)) != identity_relation(relation_dom(X0))
| relation_composition(function_inverse(X0),X0) != identity_relation(relation_rng(X0)) )
& one_to_one(X0) )
=> ( relation(sK1)
& function(sK1)
& ( relation_composition(sK1,function_inverse(sK1)) != identity_relation(relation_dom(sK1))
| relation_composition(function_inverse(sK1),sK1) != identity_relation(relation_rng(sK1)) )
& one_to_one(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0] :
( relation(X0)
& function(X0)
& ( relation_composition(X0,function_inverse(X0)) != identity_relation(relation_dom(X0))
| relation_composition(function_inverse(X0),X0) != identity_relation(relation_rng(X0)) )
& one_to_one(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X0] :
( ( relation_composition(X0,function_inverse(X0)) != identity_relation(relation_dom(X0))
| relation_composition(function_inverse(X0),X0) != identity_relation(relation_rng(X0)) )
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0))
& relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0)) ) ) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0))
& relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1) ).
fof(f480,plain,
( ~ function(sK1)
| ~ spl8_26
| spl8_27 ),
inference(subsumption_resolution,[],[f479,f119]) ).
fof(f119,plain,
relation(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f479,plain,
( ~ relation(sK1)
| ~ function(sK1)
| ~ spl8_26
| spl8_27 ),
inference(subsumption_resolution,[],[f478,f116]) ).
fof(f116,plain,
one_to_one(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f478,plain,
( ~ one_to_one(sK1)
| ~ relation(sK1)
| ~ function(sK1)
| ~ spl8_26
| spl8_27 ),
inference(subsumption_resolution,[],[f474,f382]) ).
fof(f382,plain,
( apply(relation_composition(sK1,function_inverse(sK1)),sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))) != sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))
| spl8_27 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl8_27
<=> apply(relation_composition(sK1,function_inverse(sK1)),sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))) = sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f474,plain,
( apply(relation_composition(sK1,function_inverse(sK1)),sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))) = sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))
| ~ one_to_one(sK1)
| ~ relation(sK1)
| ~ function(sK1)
| ~ spl8_26 ),
inference(resolution,[],[f376,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ in(X1,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| apply(relation_composition(X0,function_inverse(X0)),X1) = X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ one_to_one(X0)
| ( apply(relation_composition(X0,function_inverse(X0)),X1) = X1
& apply(function_inverse(X0),apply(X0,X1)) = X1 ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ~ function(X1)
| ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| ~ one_to_one(X1)
| ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 )
| ~ one_to_one(X1)
| ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_dom(X1)) )
=> ( apply(relation_composition(X1,function_inverse(X1)),X0) = X0
& apply(function_inverse(X1),apply(X1,X0)) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_1) ).
fof(f376,plain,
( in(sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1)),relation_dom(sK1))
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl8_26
<=> in(sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1)),relation_dom(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f423,plain,
( ~ spl8_7
| spl8_1
| ~ spl8_5
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f422,f216,f210,f173,f220]) ).
fof(f220,plain,
( spl8_7
<=> apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) = sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f173,plain,
( spl8_1
<=> relation_composition(function_inverse(sK1),sK1) = identity_relation(relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f210,plain,
( spl8_5
<=> relation(relation_composition(function_inverse(sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f216,plain,
( spl8_6
<=> function(relation_composition(function_inverse(sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f422,plain,
( relation_composition(function_inverse(sK1),sK1) = identity_relation(relation_rng(sK1))
| apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) != sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))
| ~ spl8_5
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f421,f211]) ).
fof(f211,plain,
( relation(relation_composition(function_inverse(sK1),sK1))
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f421,plain,
( relation_composition(function_inverse(sK1),sK1) = identity_relation(relation_rng(sK1))
| ~ relation(relation_composition(function_inverse(sK1),sK1))
| apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) != sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f200,f217]) ).
fof(f217,plain,
( function(relation_composition(function_inverse(sK1),sK1))
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f200,plain,
( relation_composition(function_inverse(sK1),sK1) = identity_relation(relation_rng(sK1))
| apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) != sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))
| ~ function(relation_composition(function_inverse(sK1),sK1))
| ~ relation(relation_composition(function_inverse(sK1),sK1)) ),
inference(superposition,[],[f171,f186]) ).
fof(f186,plain,
relation_rng(sK1) = relation_dom(relation_composition(function_inverse(sK1),sK1)),
inference(subsumption_resolution,[],[f185,f119]) ).
fof(f185,plain,
( relation_rng(sK1) = relation_dom(relation_composition(function_inverse(sK1),sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f183,f118]) ).
fof(f183,plain,
( ~ function(sK1)
| ~ relation(sK1)
| relation_rng(sK1) = relation_dom(relation_composition(function_inverse(sK1),sK1)) ),
inference(resolution,[],[f116,f132]) ).
fof(f132,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) )
| ~ relation(X0)
| ~ one_to_one(X0)
| ~ function(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_rng(relation_composition(function_inverse(X0),X0))
& relation_rng(X0) = relation_dom(relation_composition(function_inverse(X0),X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_funct_1) ).
fof(f171,plain,
! [X0] :
( apply(X0,sK3(X0,relation_dom(X0))) != sK3(X0,relation_dom(X0))
| identity_relation(relation_dom(X0)) = X0
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ function(X0)
| identity_relation(X1) = X0
| sK3(X0,X1) != apply(X0,sK3(X0,X1))
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ function(X0)
| ( ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| ( in(sK3(X0,X1),X1)
& sK3(X0,X1) != apply(X0,sK3(X0,X1)) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& apply(X0,X3) != X3 )
=> ( in(sK3(X0,X1),X1)
& sK3(X0,X1) != apply(X0,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ~ function(X0)
| ( ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| ? [X3] :
( in(X3,X1)
& apply(X0,X3) != X3 )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ function(X0)
| ( ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ function(X0)
| ( ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| ? [X2] :
( in(X2,X1)
& apply(X0,X2) != X2 )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ function(X0)
| ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
<=> identity_relation(X1) = X0 )
| ~ relation(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ~ in(X2,X1)
| apply(X0,X2) = X2 )
& relation_dom(X0) = X1 )
<=> identity_relation(X1) = X0 )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( ( relation_dom(X0) = X1
& ! [X2] :
( in(X2,X1)
=> apply(X0,X2) = X2 ) )
<=> identity_relation(X1) = X0 ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
<=> identity_relation(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f420,plain,
( spl8_7
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f419,f238,f220]) ).
fof(f238,plain,
( spl8_11
<=> in(sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1)),relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f419,plain,
( apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) = sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f415,f118]) ).
fof(f415,plain,
( ~ function(sK1)
| apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) = sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f414,f119]) ).
fof(f414,plain,
( ~ relation(sK1)
| ~ function(sK1)
| apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) = sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f410,f116]) ).
fof(f410,plain,
( ~ one_to_one(sK1)
| ~ relation(sK1)
| apply(relation_composition(function_inverse(sK1),sK1),sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))) = sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1))
| ~ function(sK1)
| ~ spl8_11 ),
inference(resolution,[],[f240,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(function_inverse(X1),X1),X0) = X0
| ~ one_to_one(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ one_to_one(X1)
| ~ relation(X1)
| ~ in(X0,relation_rng(X1))
| ( apply(X1,apply(function_inverse(X1),X0)) = X0
& apply(relation_composition(function_inverse(X1),X1),X0) = X0 )
| ~ function(X1) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ~ one_to_one(X0)
| ~ relation(X0)
| ~ in(X1,relation_rng(X0))
| ( apply(X0,apply(function_inverse(X0),X1)) = X1
& apply(relation_composition(function_inverse(X0),X0),X1) = X1 )
| ~ function(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( apply(X0,apply(function_inverse(X0),X1)) = X1
& apply(relation_composition(function_inverse(X0),X0),X1) = X1 )
| ~ in(X1,relation_rng(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( ( in(X1,relation_rng(X0))
& one_to_one(X0) )
=> ( apply(X0,apply(function_inverse(X0),X1)) = X1
& apply(relation_composition(function_inverse(X0),X0),X1) = X1 ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_rng(X1)) )
=> ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f240,plain,
( in(sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1)),relation_rng(sK1))
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f383,plain,
( spl8_2
| ~ spl8_27
| ~ spl8_18
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f378,f296,f292,f380,f177]) ).
fof(f177,plain,
( spl8_2
<=> relation_composition(sK1,function_inverse(sK1)) = identity_relation(relation_dom(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f292,plain,
( spl8_18
<=> function(relation_composition(sK1,function_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f296,plain,
( spl8_19
<=> relation(relation_composition(sK1,function_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f378,plain,
( ~ function(relation_composition(sK1,function_inverse(sK1)))
| apply(relation_composition(sK1,function_inverse(sK1)),sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))) != sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))
| relation_composition(sK1,function_inverse(sK1)) = identity_relation(relation_dom(sK1))
| ~ spl8_19 ),
inference(subsumption_resolution,[],[f331,f297]) ).
fof(f297,plain,
( relation(relation_composition(sK1,function_inverse(sK1)))
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f331,plain,
( relation_composition(sK1,function_inverse(sK1)) = identity_relation(relation_dom(sK1))
| apply(relation_composition(sK1,function_inverse(sK1)),sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))) != sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1))
| ~ relation(relation_composition(sK1,function_inverse(sK1)))
| ~ function(relation_composition(sK1,function_inverse(sK1))) ),
inference(superposition,[],[f171,f192]) ).
fof(f192,plain,
relation_dom(relation_composition(sK1,function_inverse(sK1))) = relation_dom(sK1),
inference(subsumption_resolution,[],[f191,f119]) ).
fof(f191,plain,
( relation_dom(relation_composition(sK1,function_inverse(sK1))) = relation_dom(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f182,f118]) ).
fof(f182,plain,
( relation_dom(relation_composition(sK1,function_inverse(sK1))) = relation_dom(sK1)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f116,f123]) ).
fof(f123,plain,
! [X0] :
( ~ one_to_one(X0)
| ~ function(X0)
| relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ relation(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ( relation_dom(X0) = relation_rng(relation_composition(X0,function_inverse(X0)))
& relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0))) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_composition(X0,function_inverse(X0)))
& relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0))) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(relation_composition(X0,function_inverse(X0)))
& relation_dom(X0) = relation_dom(relation_composition(X0,function_inverse(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_funct_1) ).
fof(f377,plain,
( spl8_2
| ~ spl8_18
| spl8_26
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f372,f296,f374,f292,f177]) ).
fof(f372,plain,
( in(sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1)),relation_dom(sK1))
| ~ function(relation_composition(sK1,function_inverse(sK1)))
| relation_composition(sK1,function_inverse(sK1)) = identity_relation(relation_dom(sK1))
| ~ spl8_19 ),
inference(subsumption_resolution,[],[f330,f297]) ).
fof(f330,plain,
( ~ relation(relation_composition(sK1,function_inverse(sK1)))
| in(sK3(relation_composition(sK1,function_inverse(sK1)),relation_dom(sK1)),relation_dom(sK1))
| relation_composition(sK1,function_inverse(sK1)) = identity_relation(relation_dom(sK1))
| ~ function(relation_composition(sK1,function_inverse(sK1))) ),
inference(superposition,[],[f170,f192]) ).
fof(f170,plain,
! [X0] :
( in(sK3(X0,relation_dom(X0)),relation_dom(X0))
| identity_relation(relation_dom(X0)) = X0
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ function(X0)
| identity_relation(X1) = X0
| in(sK3(X0,X1),X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f371,plain,
( ~ spl8_14
| ~ spl8_15
| spl8_18 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl8_14
| ~ spl8_15
| spl8_18 ),
inference(subsumption_resolution,[],[f369,f270]) ).
fof(f270,plain,
( function(function_inverse(sK1))
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl8_15
<=> function(function_inverse(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f369,plain,
( ~ function(function_inverse(sK1))
| ~ spl8_14
| spl8_18 ),
inference(subsumption_resolution,[],[f368,f119]) ).
fof(f368,plain,
( ~ relation(sK1)
| ~ function(function_inverse(sK1))
| ~ spl8_14
| spl8_18 ),
inference(subsumption_resolution,[],[f367,f118]) ).
fof(f367,plain,
( ~ function(sK1)
| ~ relation(sK1)
| ~ function(function_inverse(sK1))
| ~ spl8_14
| spl8_18 ),
inference(subsumption_resolution,[],[f366,f257]) ).
fof(f257,plain,
( relation(function_inverse(sK1))
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl8_14
<=> relation(function_inverse(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f366,plain,
( ~ relation(function_inverse(sK1))
| ~ function(sK1)
| ~ relation(sK1)
| ~ function(function_inverse(sK1))
| spl8_18 ),
inference(resolution,[],[f294,f131]) ).
fof(f131,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ function(X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( ( function(X1)
& function(X0)
& relation(X1)
& relation(X0) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f294,plain,
( ~ function(relation_composition(sK1,function_inverse(sK1)))
| spl8_18 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f360,plain,
( ~ spl8_14
| spl8_19 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| ~ spl8_14
| spl8_19 ),
inference(subsumption_resolution,[],[f358,f119]) ).
fof(f358,plain,
( ~ relation(sK1)
| ~ spl8_14
| spl8_19 ),
inference(subsumption_resolution,[],[f351,f257]) ).
fof(f351,plain,
( ~ relation(function_inverse(sK1))
| ~ relation(sK1)
| spl8_19 ),
inference(resolution,[],[f298,f138]) ).
fof(f138,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X1,X0)) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f298,plain,
( ~ relation(relation_composition(sK1,function_inverse(sK1)))
| spl8_19 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f342,plain,
spl8_15,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| spl8_15 ),
inference(subsumption_resolution,[],[f340,f118]) ).
fof(f340,plain,
( ~ function(sK1)
| spl8_15 ),
inference(subsumption_resolution,[],[f339,f119]) ).
fof(f339,plain,
( ~ relation(sK1)
| ~ function(sK1)
| spl8_15 ),
inference(resolution,[],[f271,f150]) ).
fof(f150,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f271,plain,
( ~ function(function_inverse(sK1))
| spl8_15 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f336,plain,
( ~ spl8_15
| spl8_6
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f335,f256,f216,f269]) ).
fof(f335,plain,
( ~ function(function_inverse(sK1))
| spl8_6
| ~ spl8_14 ),
inference(subsumption_resolution,[],[f334,f119]) ).
fof(f334,plain,
( ~ function(function_inverse(sK1))
| ~ relation(sK1)
| spl8_6
| ~ spl8_14 ),
inference(subsumption_resolution,[],[f333,f118]) ).
fof(f333,plain,
( ~ function(sK1)
| ~ function(function_inverse(sK1))
| ~ relation(sK1)
| spl8_6
| ~ spl8_14 ),
inference(subsumption_resolution,[],[f332,f257]) ).
fof(f332,plain,
( ~ relation(function_inverse(sK1))
| ~ relation(sK1)
| ~ function(function_inverse(sK1))
| ~ function(sK1)
| spl8_6 ),
inference(resolution,[],[f218,f131]) ).
fof(f218,plain,
( ~ function(relation_composition(function_inverse(sK1),sK1))
| spl8_6 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f276,plain,
spl8_14,
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| spl8_14 ),
inference(subsumption_resolution,[],[f274,f118]) ).
fof(f274,plain,
( ~ function(sK1)
| spl8_14 ),
inference(subsumption_resolution,[],[f273,f119]) ).
fof(f273,plain,
( ~ relation(sK1)
| ~ function(sK1)
| spl8_14 ),
inference(resolution,[],[f258,f151]) ).
fof(f151,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f258,plain,
( ~ relation(function_inverse(sK1))
| spl8_14 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f272,plain,
( ~ spl8_15
| ~ spl8_14
| spl8_5 ),
inference(avatar_split_clause,[],[f267,f210,f256,f269]) ).
fof(f267,plain,
( ~ relation(function_inverse(sK1))
| ~ function(function_inverse(sK1))
| spl8_5 ),
inference(subsumption_resolution,[],[f266,f119]) ).
fof(f266,plain,
( ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1))
| ~ relation(sK1)
| spl8_5 ),
inference(subsumption_resolution,[],[f263,f118]) ).
fof(f263,plain,
( ~ function(sK1)
| ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1))
| ~ relation(sK1)
| spl8_5 ),
inference(resolution,[],[f212,f130]) ).
fof(f130,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f212,plain,
( ~ relation(relation_composition(function_inverse(sK1),sK1))
| spl8_5 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f241,plain,
( ~ spl8_5
| spl8_11
| ~ spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f236,f173,f216,f238,f210]) ).
fof(f236,plain,
( ~ function(relation_composition(function_inverse(sK1),sK1))
| in(sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1)),relation_rng(sK1))
| ~ relation(relation_composition(function_inverse(sK1),sK1))
| spl8_1 ),
inference(subsumption_resolution,[],[f199,f175]) ).
fof(f175,plain,
( relation_composition(function_inverse(sK1),sK1) != identity_relation(relation_rng(sK1))
| spl8_1 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f199,plain,
( ~ function(relation_composition(function_inverse(sK1),sK1))
| ~ relation(relation_composition(function_inverse(sK1),sK1))
| relation_composition(function_inverse(sK1),sK1) = identity_relation(relation_rng(sK1))
| in(sK3(relation_composition(function_inverse(sK1),sK1),relation_rng(sK1)),relation_rng(sK1)) ),
inference(superposition,[],[f170,f186]) ).
fof(f180,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f117,f177,f173]) ).
fof(f117,plain,
( relation_composition(sK1,function_inverse(sK1)) != identity_relation(relation_dom(sK1))
| relation_composition(function_inverse(sK1),sK1) != identity_relation(relation_rng(sK1)) ),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.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 : Tue Aug 30 14:58:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (30197)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (30217)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (30209)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (30201)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (30209)Instruction limit reached!
% 0.19/0.51 % (30209)------------------------------
% 0.19/0.51 % (30209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30209)Termination reason: Unknown
% 0.19/0.51 % (30209)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (30209)Memory used [KB]: 6012
% 0.19/0.51 % (30209)Time elapsed: 0.005 s
% 0.19/0.51 % (30209)Instructions burned: 4 (million)
% 0.19/0.51 % (30209)------------------------------
% 0.19/0.51 % (30209)------------------------------
% 0.19/0.52 % (30201)Refutation not found, incomplete strategy% (30201)------------------------------
% 0.19/0.52 % (30201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30201)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (30201)Memory used [KB]: 6012
% 0.19/0.52 % (30201)Time elapsed: 0.068 s
% 0.19/0.52 % (30201)Instructions burned: 11 (million)
% 0.19/0.52 % (30201)------------------------------
% 0.19/0.52 % (30201)------------------------------
% 0.19/0.52 % (30204)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (30197)Instruction limit reached!
% 0.19/0.52 % (30197)------------------------------
% 0.19/0.52 % (30197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30197)Termination reason: Unknown
% 0.19/0.52 % (30197)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (30197)Memory used [KB]: 1535
% 0.19/0.52 % (30197)Time elapsed: 0.004 s
% 0.19/0.52 % (30197)Instructions burned: 3 (million)
% 0.19/0.52 % (30197)------------------------------
% 0.19/0.52 % (30197)------------------------------
% 0.19/0.52 % (30220)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)
% 0.19/0.53 % (30223)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)
% 0.19/0.53 % (30218)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (30199)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (30212)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (30200)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)
% 0.19/0.53 % (30198)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)
% 0.19/0.53 % (30212)Instruction limit reached!
% 0.19/0.53 % (30212)------------------------------
% 0.19/0.53 % (30212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30212)Termination reason: Unknown
% 0.19/0.53 % (30212)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (30212)Memory used [KB]: 1535
% 0.19/0.53 % (30212)Time elapsed: 0.004 s
% 0.19/0.53 % (30212)Instructions burned: 3 (million)
% 0.19/0.53 % (30212)------------------------------
% 0.19/0.53 % (30212)------------------------------
% 0.19/0.53 % (30207)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)
% 0.19/0.53 % (30196)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (30206)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (30195)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (30208)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)
% 0.19/0.53 % (30205)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (30206)Instruction limit reached!
% 0.19/0.53 % (30206)------------------------------
% 0.19/0.53 % (30206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30206)Termination reason: Unknown
% 0.19/0.53 % (30206)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (30206)Memory used [KB]: 6140
% 0.19/0.53 % (30206)Time elapsed: 0.136 s
% 0.19/0.53 % (30206)Instructions burned: 7 (million)
% 0.19/0.53 % (30206)------------------------------
% 0.19/0.53 % (30206)------------------------------
% 0.19/0.54 % (30196)First to succeed.
% 0.19/0.54 % (30205)Instruction limit reached!
% 0.19/0.54 % (30205)------------------------------
% 0.19/0.54 % (30205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30205)Termination reason: Unknown
% 0.19/0.54 % (30205)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (30205)Memory used [KB]: 6268
% 0.19/0.54 % (30205)Time elapsed: 0.136 s
% 0.19/0.54 % (30205)Instructions burned: 12 (million)
% 0.19/0.54 % (30205)------------------------------
% 0.19/0.54 % (30205)------------------------------
% 0.19/0.54 % (30222)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)
% 0.19/0.54 % (30211)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)
% 0.19/0.54 % (30210)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (30224)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)
% 0.19/0.54 % (30221)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)
% 0.19/0.54 % (30215)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54 % (30210)Instruction limit reached!
% 0.19/0.54 % (30210)------------------------------
% 0.19/0.54 % (30210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30210)Termination reason: Unknown
% 0.19/0.54 % (30210)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (30210)Memory used [KB]: 6012
% 0.19/0.54 % (30210)Time elapsed: 0.150 s
% 0.19/0.54 % (30210)Instructions burned: 7 (million)
% 0.19/0.54 % (30210)------------------------------
% 0.19/0.54 % (30210)------------------------------
% 0.19/0.55 % (30214)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)
% 0.19/0.55 % (30202)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)
% 0.19/0.55 % (30203)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.55 % (30214)Refutation not found, incomplete strategy% (30214)------------------------------
% 0.19/0.55 % (30214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (30214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (30214)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (30214)Memory used [KB]: 6012
% 0.19/0.55 % (30214)Time elapsed: 0.148 s
% 0.19/0.55 % (30214)Instructions burned: 4 (million)
% 0.19/0.55 % (30214)------------------------------
% 0.19/0.55 % (30214)------------------------------
% 0.19/0.55 % (30213)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)
% 0.19/0.55 % (30213)Instruction limit reached!
% 0.19/0.55 % (30213)------------------------------
% 0.19/0.55 % (30213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (30213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (30213)Termination reason: Unknown
% 0.19/0.55 % (30213)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (30213)Memory used [KB]: 1407
% 0.19/0.55 % (30213)Time elapsed: 0.002 s
% 0.19/0.55 % (30213)Instructions burned: 2 (million)
% 0.19/0.55 % (30213)------------------------------
% 0.19/0.55 % (30213)------------------------------
% 0.19/0.55 % (30216)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)
% 0.19/0.55 % (30219)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)
% 0.19/0.55 % (30199)Instruction limit reached!
% 0.19/0.55 % (30199)------------------------------
% 0.19/0.55 % (30199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (30199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (30199)Termination reason: Unknown
% 0.19/0.55 % (30199)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (30199)Memory used [KB]: 6140
% 0.19/0.55 % (30199)Time elapsed: 0.130 s
% 0.19/0.55 % (30199)Instructions burned: 13 (million)
% 0.19/0.55 % (30199)------------------------------
% 0.19/0.55 % (30199)------------------------------
% 0.19/0.55 % (30207)Instruction limit reached!
% 0.19/0.55 % (30207)------------------------------
% 0.19/0.55 % (30207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (30223)Instruction limit reached!
% 0.19/0.56 % (30223)------------------------------
% 0.19/0.56 % (30223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (30200)Instruction limit reached!
% 0.19/0.56 % (30200)------------------------------
% 0.19/0.56 % (30200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (30200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (30200)Termination reason: Unknown
% 0.19/0.56 % (30200)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (30200)Memory used [KB]: 1663
% 0.19/0.56 % (30200)Time elapsed: 0.159 s
% 0.19/0.56 % (30200)Instructions burned: 16 (million)
% 0.19/0.56 % (30200)------------------------------
% 0.19/0.56 % (30200)------------------------------
% 0.19/0.57 % (30223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (30223)Termination reason: Unknown
% 0.19/0.57 % (30223)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (30223)Memory used [KB]: 6140
% 0.19/0.57 % (30223)Time elapsed: 0.136 s
% 0.19/0.57 % (30223)Instructions burned: 8 (million)
% 0.19/0.57 % (30223)------------------------------
% 0.19/0.57 % (30223)------------------------------
% 0.19/0.57 % (30207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (30207)Termination reason: Unknown
% 0.19/0.57 % (30207)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (30207)Memory used [KB]: 1791
% 0.19/0.57 % (30207)Time elapsed: 0.136 s
% 0.19/0.57 % (30207)Instructions burned: 16 (million)
% 0.19/0.57 % (30207)------------------------------
% 0.19/0.57 % (30207)------------------------------
% 1.75/0.57 % (30196)Refutation found. Thanks to Tanya!
% 1.75/0.57 % SZS status Theorem for theBenchmark
% 1.75/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.57 % (30196)------------------------------
% 1.75/0.57 % (30196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.57 % (30196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57 % (30196)Termination reason: Refutation
% 1.75/0.57
% 1.75/0.57 % (30196)Memory used [KB]: 6140
% 1.75/0.57 % (30196)Time elapsed: 0.139 s
% 1.75/0.57 % (30196)Instructions burned: 9 (million)
% 1.75/0.57 % (30196)------------------------------
% 1.75/0.57 % (30196)------------------------------
% 1.75/0.57 % (30194)Success in time 0.208 s
%------------------------------------------------------------------------------