TSTP Solution File: SEU042+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU042+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 : n001.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 18:26:25 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 127 ( 10 unt; 0 def)
% Number of atoms : 600 ( 118 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 826 ( 353 ~; 350 |; 88 &)
% ( 19 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 159 ( 139 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f429,plain,
$false,
inference(avatar_sat_refutation,[],[f230,f235,f240,f249,f255,f298,f357,f383,f398,f428]) ).
fof(f428,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_14 ),
inference(subsumption_resolution,[],[f426,f224]) ).
fof(f224,plain,
( relation(relation_dom_restriction(sK13,sK14))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl17_2
<=> relation(relation_dom_restriction(sK13,sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f426,plain,
( ~ relation(relation_dom_restriction(sK13,sK14))
| ~ spl17_3
| ~ spl17_14 ),
inference(subsumption_resolution,[],[f425,f193]) ).
fof(f193,plain,
~ one_to_one(relation_dom_restriction(sK13,sK14)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( function(sK13)
& one_to_one(sK13)
& ~ one_to_one(relation_dom_restriction(sK13,sK14))
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f85,f126]) ).
fof(f126,plain,
( ? [X0,X1] :
( function(X0)
& one_to_one(X0)
& ~ one_to_one(relation_dom_restriction(X0,X1))
& relation(X0) )
=> ( function(sK13)
& one_to_one(sK13)
& ~ one_to_one(relation_dom_restriction(sK13,sK14))
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
? [X0,X1] :
( function(X0)
& one_to_one(X0)
& ~ one_to_one(relation_dom_restriction(X0,X1))
& relation(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
? [X0,X1] :
( ~ one_to_one(relation_dom_restriction(X0,X1))
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(relation_dom_restriction(X0,X1)) ) ),
inference(rectify,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t84_funct_1) ).
fof(f425,plain,
( one_to_one(relation_dom_restriction(sK13,sK14))
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ spl17_3
| ~ spl17_14 ),
inference(subsumption_resolution,[],[f424,f228]) ).
fof(f228,plain,
( function(relation_dom_restriction(sK13,sK14))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl17_3
<=> function(relation_dom_restriction(sK13,sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f424,plain,
( ~ function(relation_dom_restriction(sK13,sK14))
| ~ relation(relation_dom_restriction(sK13,sK14))
| one_to_one(relation_dom_restriction(sK13,sK14))
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f423]) ).
fof(f423,plain,
( sK4(relation_dom_restriction(sK13,sK14)) != sK4(relation_dom_restriction(sK13,sK14))
| ~ function(relation_dom_restriction(sK13,sK14))
| one_to_one(relation_dom_restriction(sK13,sK14))
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ spl17_14 ),
inference(superposition,[],[f147,f382]) ).
fof(f382,plain,
( sK4(relation_dom_restriction(sK13,sK14)) = sK5(relation_dom_restriction(sK13,sK14))
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl17_14
<=> sK4(relation_dom_restriction(sK13,sK14)) = sK5(relation_dom_restriction(sK13,sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f147,plain,
! [X0] :
( sK5(X0) != sK4(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ( sK5(X0) != sK4(X0)
& in(sK4(X0),relation_dom(X0))
& in(sK5(X0),relation_dom(X0))
& apply(X0,sK4(X0)) = apply(X0,sK5(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f95,f96]) ).
fof(f96,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> ( sK5(X0) != sK4(X0)
& in(sK4(X0),relation_dom(X0))
& in(sK5(X0),relation_dom(X0))
& apply(X0,sK4(X0)) = apply(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ? [X2,X1] :
( X1 != X2
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X2,X1] :
( X1 = X2
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ~ relation(X0)
| ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ function(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( ! [X2,X1] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
<=> one_to_one(X0) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X2,X1] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f398,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| spl17_13 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| spl17_13 ),
inference(subsumption_resolution,[],[f393,f378]) ).
fof(f378,plain,
( ~ in(sK4(relation_dom_restriction(sK13,sK14)),relation_dom(sK13))
| spl17_13 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl17_13
<=> in(sK4(relation_dom_restriction(sK13,sK14)),relation_dom(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f393,plain,
( in(sK4(relation_dom_restriction(sK13,sK14)),relation_dom(sK13))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5 ),
inference(resolution,[],[f305,f239]) ).
fof(f239,plain,
( in(sK4(relation_dom_restriction(sK13,sK14)),relation_dom(relation_dom_restriction(sK13,sK14)))
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl17_5
<=> in(sK4(relation_dom_restriction(sK13,sK14)),relation_dom(relation_dom_restriction(sK13,sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f305,plain,
( ! [X1] :
( ~ in(X1,relation_dom(relation_dom_restriction(sK13,sK14)))
| in(X1,relation_dom(sK13)) )
| ~ spl17_2
| ~ spl17_3 ),
inference(superposition,[],[f207,f259]) ).
fof(f259,plain,
( relation_dom(relation_dom_restriction(sK13,sK14)) = set_intersection2(relation_dom(sK13),sK14)
| ~ spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f258,f195]) ).
fof(f195,plain,
function(sK13),
inference(cnf_transformation,[],[f127]) ).
fof(f258,plain,
( relation_dom(relation_dom_restriction(sK13,sK14)) = set_intersection2(relation_dom(sK13),sK14)
| ~ function(sK13)
| ~ spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f257,f224]) ).
fof(f257,plain,
( relation_dom(relation_dom_restriction(sK13,sK14)) = set_intersection2(relation_dom(sK13),sK14)
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ function(sK13)
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f256,f192]) ).
fof(f192,plain,
relation(sK13),
inference(cnf_transformation,[],[f127]) ).
fof(f256,plain,
( ~ relation(sK13)
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ function(sK13)
| relation_dom(relation_dom_restriction(sK13,sK14)) = set_intersection2(relation_dom(sK13),sK14)
| ~ spl17_3 ),
inference(resolution,[],[f228,f210]) ).
fof(f210,plain,
! [X2,X1] :
( ~ function(relation_dom_restriction(X2,X1))
| relation_dom(relation_dom_restriction(X2,X1)) = set_intersection2(relation_dom(X2),X1)
| ~ relation(relation_dom_restriction(X2,X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ! [X2] :
( ( ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ( in(sK10(X0,X2),relation_dom(X0))
& apply(X0,sK10(X0,X2)) != apply(X2,sK10(X0,X2)) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) ) )
| relation_dom_restriction(X2,X1) != X0 ) )
| ~ relation(X2)
| ~ function(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f117,f118]) ).
fof(f118,plain,
! [X0,X2] :
( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) )
=> ( in(sK10(X0,X2),relation_dom(X0))
& apply(X0,sK10(X0,X2)) != apply(X2,sK10(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ! [X2] :
( ( ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) ) )
| relation_dom_restriction(X2,X1) != X0 ) )
| ~ relation(X2)
| ~ function(X2) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( in(X3,relation_dom(X1))
& apply(X1,X3) != apply(X2,X3) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X1,X0] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( in(X3,relation_dom(X1))
& apply(X1,X3) != apply(X2,X3) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) ) )
| ~ relation(X2)
| ~ function(X2) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
<=> relation_dom_restriction(X2,X0) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f207,plain,
! [X2,X3,X0] :
( ~ in(X3,set_intersection2(X0,X2))
| in(X3,X0) ),
inference(equality_resolution,[],[f174]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X1)
| set_intersection2(X0,X2) != X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) ) )
| set_intersection2(X0,X2) != X1 )
& ( set_intersection2(X0,X2) = X1
| ( ( ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) )
& ( in(sK9(X0,X1,X2),X1)
| ( in(sK9(X0,X1,X2),X0)
& in(sK9(X0,X1,X2),X2) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f112,f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| ~ in(X4,X2) )
& ( in(X4,X1)
| ( in(X4,X0)
& in(X4,X2) ) ) )
=> ( ( ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) )
& ( in(sK9(X0,X1,X2),X1)
| ( in(sK9(X0,X1,X2),X0)
& in(sK9(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) ) )
| set_intersection2(X0,X2) != X1 )
& ( set_intersection2(X0,X2) = X1
| ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| ~ in(X4,X2) )
& ( in(X4,X1)
| ( in(X4,X0)
& in(X4,X2) ) ) ) ) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X1,X2,X0] :
( ( ! [X3] :
( ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) ) )
| set_intersection2(X1,X0) != X2 )
& ( set_intersection2(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( in(X3,X2)
| ( in(X3,X1)
& in(X3,X0) ) ) ) ) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X1,X2,X0] :
( ( ! [X3] :
( ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) ) )
| set_intersection2(X1,X0) != X2 )
& ( set_intersection2(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( in(X3,X2)
| ( in(X3,X1)
& in(X3,X0) ) ) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X2,X0] :
( ! [X3] :
( ( in(X3,X1)
& in(X3,X0) )
<=> in(X3,X2) )
<=> set_intersection2(X1,X0) = X2 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f383,plain,
( ~ spl17_13
| spl17_14
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f374,f288,f380,f376]) ).
fof(f288,plain,
( spl17_6
<=> ! [X1] :
( sK5(relation_dom_restriction(sK13,sK14)) = X1
| apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) != apply(sK13,X1)
| ~ in(X1,relation_dom(sK13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f374,plain,
( sK4(relation_dom_restriction(sK13,sK14)) = sK5(relation_dom_restriction(sK13,sK14))
| ~ in(sK4(relation_dom_restriction(sK13,sK14)),relation_dom(sK13))
| ~ spl17_6 ),
inference(equality_resolution,[],[f289]) ).
fof(f289,plain,
( ! [X1] :
( apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) != apply(sK13,X1)
| sK5(relation_dom_restriction(sK13,sK14)) = X1
| ~ in(X1,relation_dom(sK13)) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f357,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| spl17_7 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| spl17_7 ),
inference(subsumption_resolution,[],[f353,f234]) ).
fof(f234,plain,
( in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(relation_dom_restriction(sK13,sK14)))
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl17_4
<=> in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(relation_dom_restriction(sK13,sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f353,plain,
( ~ in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(relation_dom_restriction(sK13,sK14)))
| ~ spl17_2
| ~ spl17_3
| spl17_7 ),
inference(superposition,[],[f300,f307]) ).
fof(f307,plain,
( relation_dom(relation_dom_restriction(sK13,sK14)) = set_intersection2(sK14,relation_dom(sK13))
| ~ spl17_2
| ~ spl17_3 ),
inference(superposition,[],[f156,f259]) ).
fof(f156,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f300,plain,
( ! [X0] : ~ in(sK5(relation_dom_restriction(sK13,sK14)),set_intersection2(X0,relation_dom(sK13)))
| spl17_7 ),
inference(resolution,[],[f293,f208]) ).
fof(f208,plain,
! [X2,X3,X0] :
( in(X3,X2)
| ~ in(X3,set_intersection2(X0,X2)) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(X3,X1)
| set_intersection2(X0,X2) != X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f293,plain,
( ~ in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(sK13))
| spl17_7 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl17_7
<=> in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f298,plain,
( spl17_6
| ~ spl17_7
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f297,f237,f232,f227,f223,f219,f291,f288]) ).
fof(f219,plain,
( spl17_1
<=> apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f297,plain,
( ! [X0] :
( ~ in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(sK13))
| apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) != apply(sK13,X0)
| sK5(relation_dom_restriction(sK13,sK14)) = X0
| ~ in(X0,relation_dom(sK13)) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f296,f192]) ).
fof(f296,plain,
( ! [X0] :
( apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) != apply(sK13,X0)
| ~ relation(sK13)
| ~ in(X0,relation_dom(sK13))
| sK5(relation_dom_restriction(sK13,sK14)) = X0
| ~ in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(sK13)) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f295,f194]) ).
fof(f194,plain,
one_to_one(sK13),
inference(cnf_transformation,[],[f127]) ).
fof(f295,plain,
( ! [X0] :
( ~ one_to_one(sK13)
| ~ relation(sK13)
| ~ in(X0,relation_dom(sK13))
| apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) != apply(sK13,X0)
| ~ in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(sK13))
| sK5(relation_dom_restriction(sK13,sK14)) = X0 )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f282,f195]) ).
fof(f282,plain,
( ! [X0] :
( ~ function(sK13)
| apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) != apply(sK13,X0)
| ~ in(X0,relation_dom(sK13))
| ~ one_to_one(sK13)
| ~ relation(sK13)
| sK5(relation_dom_restriction(sK13,sK14)) = X0
| ~ in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(sK13)) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(superposition,[],[f143,f280]) ).
fof(f280,plain,
( apply(sK13,sK5(relation_dom_restriction(sK13,sK14))) = apply(sK13,sK4(relation_dom_restriction(sK13,sK14)))
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(backward_demodulation,[],[f269,f279]) ).
fof(f279,plain,
( apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14)))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f278,f195]) ).
fof(f278,plain,
( apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14)))
| ~ function(sK13)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f277,f228]) ).
fof(f277,plain,
( ~ function(relation_dom_restriction(sK13,sK14))
| ~ function(sK13)
| apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14)))
| ~ spl17_2
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f276,f224]) ).
fof(f276,plain,
( ~ relation(relation_dom_restriction(sK13,sK14))
| ~ function(relation_dom_restriction(sK13,sK14))
| apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14)))
| ~ function(sK13)
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f271,f192]) ).
fof(f271,plain,
( ~ relation(sK13)
| ~ function(sK13)
| ~ relation(relation_dom_restriction(sK13,sK14))
| apply(sK13,sK4(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14)))
| ~ function(relation_dom_restriction(sK13,sK14))
| ~ spl17_5 ),
inference(resolution,[],[f239,f211]) ).
fof(f211,plain,
! [X2,X1,X4] :
( ~ in(X4,relation_dom(relation_dom_restriction(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| ~ relation(relation_dom_restriction(X2,X1))
| ~ function(relation_dom_restriction(X2,X1))
| apply(X2,X4) = apply(relation_dom_restriction(X2,X1),X4) ),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X2,X0,X1,X4] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4)
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f269,plain,
( apply(sK13,sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14)))
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f221,f268]) ).
fof(f268,plain,
( apply(sK13,sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14)))
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f267,f224]) ).
fof(f267,plain,
( ~ relation(relation_dom_restriction(sK13,sK14))
| apply(sK13,sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14)))
| ~ spl17_3
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f266,f195]) ).
fof(f266,plain,
( apply(sK13,sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14)))
| ~ function(sK13)
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ spl17_3
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f265,f192]) ).
fof(f265,plain,
( ~ relation(sK13)
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ function(sK13)
| apply(sK13,sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14)))
| ~ spl17_3
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f260,f228]) ).
fof(f260,plain,
( ~ function(relation_dom_restriction(sK13,sK14))
| ~ function(sK13)
| ~ relation(sK13)
| apply(sK13,sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14)))
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ spl17_4 ),
inference(resolution,[],[f234,f211]) ).
fof(f221,plain,
( apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14)))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f143,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0))
| X3 = X4
| ~ in(X4,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f255,plain,
spl17_3,
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| spl17_3 ),
inference(subsumption_resolution,[],[f253,f195]) ).
fof(f253,plain,
( ~ function(sK13)
| spl17_3 ),
inference(subsumption_resolution,[],[f251,f192]) ).
fof(f251,plain,
( ~ relation(sK13)
| ~ function(sK13)
| spl17_3 ),
inference(resolution,[],[f229,f186]) ).
fof(f186,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f229,plain,
( ~ function(relation_dom_restriction(sK13,sK14))
| spl17_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f249,plain,
spl17_2,
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| spl17_2 ),
inference(subsumption_resolution,[],[f247,f192]) ).
fof(f247,plain,
( ~ relation(sK13)
| spl17_2 ),
inference(subsumption_resolution,[],[f243,f195]) ).
fof(f243,plain,
( ~ function(sK13)
| ~ relation(sK13)
| spl17_2 ),
inference(resolution,[],[f225,f185]) ).
fof(f185,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f225,plain,
( ~ relation(relation_dom_restriction(sK13,sK14))
| spl17_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f240,plain,
( ~ spl17_2
| spl17_5
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f212,f227,f237,f223]) ).
fof(f212,plain,
( ~ function(relation_dom_restriction(sK13,sK14))
| in(sK4(relation_dom_restriction(sK13,sK14)),relation_dom(relation_dom_restriction(sK13,sK14)))
| ~ relation(relation_dom_restriction(sK13,sK14)) ),
inference(resolution,[],[f193,f146]) ).
fof(f146,plain,
! [X0] :
( one_to_one(X0)
| in(sK4(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f235,plain,
( ~ spl17_3
| ~ spl17_2
| spl17_4 ),
inference(avatar_split_clause,[],[f213,f232,f223,f227]) ).
fof(f213,plain,
( in(sK5(relation_dom_restriction(sK13,sK14)),relation_dom(relation_dom_restriction(sK13,sK14)))
| ~ relation(relation_dom_restriction(sK13,sK14))
| ~ function(relation_dom_restriction(sK13,sK14)) ),
inference(resolution,[],[f193,f145]) ).
fof(f145,plain,
! [X0] :
( one_to_one(X0)
| in(sK5(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f230,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f214,f227,f223,f219]) ).
fof(f214,plain,
( ~ function(relation_dom_restriction(sK13,sK14))
| ~ relation(relation_dom_restriction(sK13,sK14))
| apply(relation_dom_restriction(sK13,sK14),sK5(relation_dom_restriction(sK13,sK14))) = apply(relation_dom_restriction(sK13,sK14),sK4(relation_dom_restriction(sK13,sK14))) ),
inference(resolution,[],[f193,f144]) ).
fof(f144,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| apply(X0,sK4(X0)) = apply(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU042+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % 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 : n001.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 14:59:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (12682)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)
% 0.20/0.50 % (12680)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)
% 0.20/0.50 % (12699)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)
% 0.20/0.51 % (12683)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)
% 0.20/0.51 % (12688)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)
% 0.20/0.51 % (12689)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)
% 0.20/0.52 % (12679)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (12703)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)
% 0.20/0.52 % (12699)Refutation not found, incomplete strategy% (12699)------------------------------
% 0.20/0.52 % (12699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12691)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)
% 0.20/0.52 % (12699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12699)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (12699)Memory used [KB]: 6012
% 0.20/0.52 % (12699)Time elapsed: 0.118 s
% 0.20/0.52 % (12699)Instructions burned: 4 (million)
% 0.20/0.52 % (12699)------------------------------
% 0.20/0.52 % (12699)------------------------------
% 0.20/0.52 % (12684)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)
% 0.20/0.52 % (12684)Refutation not found, incomplete strategy% (12684)------------------------------
% 0.20/0.52 % (12684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12684)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (12684)Memory used [KB]: 1535
% 0.20/0.52 % (12684)Time elapsed: 0.123 s
% 0.20/0.52 % (12684)Instructions burned: 5 (million)
% 0.20/0.52 % (12684)------------------------------
% 0.20/0.52 % (12684)------------------------------
% 0.20/0.52 % (12707)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)
% 0.20/0.52 % (12683)Refutation not found, incomplete strategy% (12683)------------------------------
% 0.20/0.52 % (12683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12683)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (12683)Memory used [KB]: 6012
% 0.20/0.52 % (12683)Time elapsed: 0.123 s
% 0.20/0.52 % (12683)Instructions burned: 2 (million)
% 0.20/0.52 % (12683)------------------------------
% 0.20/0.52 % (12683)------------------------------
% 0.20/0.52 % (12680)Refutation not found, incomplete strategy% (12680)------------------------------
% 0.20/0.52 % (12680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12680)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (12680)Memory used [KB]: 6012
% 0.20/0.52 % (12680)Time elapsed: 0.127 s
% 0.20/0.52 % (12680)Instructions burned: 2 (million)
% 0.20/0.52 % (12691)Instruction limit reached!
% 0.20/0.52 % (12691)------------------------------
% 0.20/0.52 % (12691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12691)Termination reason: Unknown
% 0.20/0.52 % (12691)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (12691)Memory used [KB]: 6140
% 0.20/0.52 % (12691)Time elapsed: 0.130 s
% 0.20/0.52 % (12691)Instructions burned: 7 (million)
% 0.20/0.52 % (12691)------------------------------
% 0.20/0.52 % (12691)------------------------------
% 0.20/0.52 % (12680)------------------------------
% 0.20/0.52 % (12680)------------------------------
% 0.20/0.52 % (12685)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)
% 0.20/0.53 % (12702)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)
% 0.20/0.53 % (12685)Refutation not found, incomplete strategy% (12685)------------------------------
% 0.20/0.53 % (12685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12685)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (12685)Memory used [KB]: 5884
% 0.20/0.53 % (12685)Time elapsed: 0.122 s
% 0.20/0.53 % (12685)Instructions burned: 1 (million)
% 0.20/0.53 % (12685)------------------------------
% 0.20/0.53 % (12685)------------------------------
% 0.20/0.53 % (12710)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)
% 0.20/0.53 % (12695)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)
% 0.20/0.53 % (12693)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)
% 0.20/0.53 % (12681)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)
% 0.20/0.53 % (12698)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)
% 0.20/0.53 % (12698)Instruction limit reached!
% 0.20/0.53 % (12698)------------------------------
% 0.20/0.53 % (12698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12690)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)
% 0.20/0.53 % (12695)Instruction limit reached!
% 0.20/0.53 % (12695)------------------------------
% 0.20/0.53 % (12695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12690)Refutation not found, incomplete strategy% (12690)------------------------------
% 0.20/0.53 % (12690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12690)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (12690)Memory used [KB]: 6140
% 0.20/0.53 % (12690)Time elapsed: 0.132 s
% 0.20/0.53 % (12709)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)
% 0.20/0.53 % (12690)Instructions burned: 5 (million)
% 0.20/0.53 % (12690)------------------------------
% 0.20/0.53 % (12690)------------------------------
% 0.20/0.54 % (12681)Refutation not found, incomplete strategy% (12681)------------------------------
% 0.20/0.54 % (12681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12692)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)
% 0.20/0.54 % (12701)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)
% 0.20/0.54 % (12698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12698)Termination reason: Unknown
% 0.20/0.54 % (12698)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (12698)Memory used [KB]: 6012
% 0.20/0.54 % (12698)Time elapsed: 0.143 s
% 0.20/0.54 % (12698)Instructions burned: 3 (million)
% 0.20/0.54 % (12698)------------------------------
% 0.20/0.54 % (12698)------------------------------
% 0.20/0.54 % (12703)Refutation not found, incomplete strategy% (12703)------------------------------
% 0.20/0.54 % (12703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12703)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (12703)Memory used [KB]: 1663
% 0.20/0.54 % (12703)Time elapsed: 0.075 s
% 0.20/0.54 % (12703)Instructions burned: 5 (million)
% 0.20/0.54 % (12703)------------------------------
% 0.20/0.54 % (12703)------------------------------
% 0.20/0.54 % (12706)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)
% 0.20/0.54 % (12694)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)
% 0.20/0.54 % (12694)Instruction limit reached!
% 0.20/0.54 % (12694)------------------------------
% 0.20/0.54 % (12694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12694)Termination reason: Unknown
% 0.20/0.54 % (12694)Termination phase: Saturation
% 0.20/0.54 % (12696)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)
% 0.20/0.54
% 0.20/0.54 % (12694)Memory used [KB]: 6012
% 0.20/0.54 % (12694)Time elapsed: 0.004 s
% 0.20/0.54 % (12694)Instructions burned: 3 (million)
% 0.20/0.54 % (12694)------------------------------
% 0.20/0.54 % (12694)------------------------------
% 0.20/0.54 % (12686)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)
% 0.20/0.54 % (12681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12681)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (12681)Memory used [KB]: 6012
% 0.20/0.54 % (12681)Time elapsed: 0.135 s
% 0.20/0.54 % (12681)Instructions burned: 2 (million)
% 0.20/0.54 % (12681)------------------------------
% 0.20/0.54 % (12681)------------------------------
% 0.20/0.54 % (12700)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)
% 0.20/0.55 % (12709)Instruction limit reached!
% 0.20/0.55 % (12709)------------------------------
% 0.20/0.55 % (12709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12709)Termination reason: Unknown
% 0.20/0.55 % (12709)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (12709)Memory used [KB]: 6140
% 0.20/0.55 % (12709)Time elapsed: 0.147 s
% 0.20/0.55 % (12709)Instructions burned: 10 (million)
% 0.20/0.55 % (12709)------------------------------
% 0.20/0.55 % (12709)------------------------------
% 0.20/0.55 % (12705)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)
% 0.20/0.55 % (12704)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)
% 0.20/0.55 % (12689)Instruction limit reached!
% 0.20/0.55 % (12689)------------------------------
% 0.20/0.55 % (12689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12682)Instruction limit reached!
% 0.20/0.55 % (12682)------------------------------
% 0.20/0.55 % (12682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12695)Termination reason: Unknown
% 0.20/0.55 % (12695)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (12695)Memory used [KB]: 6012
% 0.20/0.55 % (12695)Time elapsed: 0.121 s
% 0.20/0.55 % (12695)Instructions burned: 7 (million)
% 0.20/0.55 % (12695)------------------------------
% 0.20/0.55 % (12695)------------------------------
% 0.20/0.56 % (12697)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (12697)Instruction limit reached!
% 0.20/0.56 % (12697)------------------------------
% 0.20/0.56 % (12697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12697)Termination reason: Unknown
% 0.20/0.56 % (12697)Termination phase: Finite model building preprocessing
% 0.20/0.56
% 0.20/0.56 % (12697)Memory used [KB]: 1535
% 0.20/0.56 % (12697)Time elapsed: 0.005 s
% 0.20/0.56 % (12697)Instructions burned: 4 (million)
% 0.20/0.56 % (12697)------------------------------
% 0.20/0.56 % (12697)------------------------------
% 0.20/0.56 % (12692)Instruction limit reached!
% 0.20/0.56 % (12692)------------------------------
% 0.20/0.56 % (12692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12692)Termination reason: Unknown
% 0.20/0.56 % (12692)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (12692)Memory used [KB]: 1663
% 0.20/0.56 % (12692)Time elapsed: 0.141 s
% 0.20/0.56 % (12692)Instructions burned: 16 (million)
% 0.20/0.56 % (12692)------------------------------
% 0.20/0.56 % (12692)------------------------------
% 0.20/0.56 % (12689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12689)Termination reason: Unknown
% 0.20/0.56 % (12689)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (12689)Memory used [KB]: 6780
% 0.20/0.56 % (12689)Time elapsed: 0.140 s
% 0.20/0.56 % (12689)Instructions burned: 35 (million)
% 0.20/0.56 % (12689)------------------------------
% 0.20/0.56 % (12689)------------------------------
% 0.20/0.56 % (12707)Instruction limit reached!
% 0.20/0.56 % (12707)------------------------------
% 0.20/0.56 % (12707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12707)Termination reason: Unknown
% 0.20/0.56 % (12707)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (12707)Memory used [KB]: 6524
% 0.20/0.56 % (12707)Time elapsed: 0.171 s
% 0.20/0.56 % (12707)Instructions burned: 25 (million)
% 0.20/0.56 % (12707)------------------------------
% 0.20/0.56 % (12707)------------------------------
% 0.20/0.56 % (12696)First to succeed.
% 0.20/0.57 % (12710)Instruction limit reached!
% 0.20/0.57 % (12710)------------------------------
% 0.20/0.57 % (12710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (12696)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (12696)------------------------------
% 0.20/0.57 % (12696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (12696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (12696)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (12696)Memory used [KB]: 6396
% 0.20/0.57 % (12696)Time elapsed: 0.151 s
% 0.20/0.57 % (12696)Instructions burned: 12 (million)
% 0.20/0.57 % (12696)------------------------------
% 0.20/0.57 % (12696)------------------------------
% 0.20/0.57 % (12673)Success in time 0.209 s
%------------------------------------------------------------------------------