TSTP Solution File: SET678+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET678+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : 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 18:25:19 EDT 2022
% Result : Theorem 2.27s 0.71s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 30
% Syntax : Number of formulae : 168 ( 15 unt; 0 def)
% Number of atoms : 583 ( 61 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 706 ( 291 ~; 289 |; 53 &)
% ( 20 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 267 ( 255 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1993,plain,
$false,
inference(avatar_sat_refutation,[],[f253,f646,f977,f982,f1954,f1992]) ).
fof(f1992,plain,
( spl20_1
| ~ spl20_5
| ~ spl20_12 ),
inference(avatar_contradiction_clause,[],[f1991]) ).
fof(f1991,plain,
( $false
| spl20_1
| ~ spl20_5
| ~ spl20_12 ),
inference(subsumption_resolution,[],[f1985,f248]) ).
fof(f248,plain,
( sK13 != sF18
| spl20_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl20_1
<=> sK13 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f1985,plain,
( sK13 = sF18
| ~ spl20_5
| ~ spl20_12 ),
inference(superposition,[],[f1984,f213]) ).
fof(f213,plain,
compose(sK13,sF16) = sF18,
introduced(function_definition,[]) ).
fof(f1984,plain,
( sK13 = compose(sK13,sF16)
| ~ spl20_5
| ~ spl20_12 ),
inference(forward_demodulation,[],[f1983,f211]) ).
fof(f211,plain,
identity_relation_of(sK12) = sF16,
introduced(function_definition,[]) ).
fof(f1983,plain,
( sK13 = compose(sK13,identity_relation_of(sK12))
| ~ spl20_5
| ~ spl20_12 ),
inference(subsumption_resolution,[],[f1978,f543]) ).
fof(f543,plain,
( ilf_type(sK13,binary_relation_type)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl20_5
<=> ilf_type(sK13,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f1978,plain,
( sK13 = compose(sK13,identity_relation_of(sK12))
| ~ ilf_type(sK13,binary_relation_type)
| ~ spl20_12 ),
inference(resolution,[],[f1977,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| compose(X1,identity_relation_of(X0)) = X1 ),
inference(subsumption_resolution,[],[f202,f191]) ).
fof(f191,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38) ).
fof(f202,plain,
! [X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(range_of(X1),X0) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(range_of(X1),X0)
=> compose(X1,identity_relation_of(X0)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f1977,plain,
( subset(range_of(sK13),sK12)
| ~ spl20_12 ),
inference(duplicate_literal_removal,[],[f1973]) ).
fof(f1973,plain,
( subset(range_of(sK13),sK12)
| subset(range_of(sK13),sK12)
| ~ spl20_12 ),
inference(resolution,[],[f1479,f291]) ).
fof(f291,plain,
! [X0,X1] :
( ~ member(sK14(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f290,f191]) ).
fof(f290,plain,
! [X0,X1] :
( ~ member(sK14(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f197,f191]) ).
fof(f197,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK14(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK14(X0,X1),X0)
& ~ member(sK14(X0,X1),X1)
& ilf_type(sK14(X0,X1),set_type) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f130,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) )
=> ( member(sK14(X0,X1),X0)
& ~ member(sK14(X0,X1),X1)
& ilf_type(sK14(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1)
& ilf_type(X2,set_type) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f1479,plain,
( ! [X1] :
( member(sK14(range_of(sK13),X1),sK12)
| subset(range_of(sK13),X1) )
| ~ spl20_12 ),
inference(resolution,[],[f1051,f234]) ).
fof(f234,plain,
! [X0,X1] :
( member(sK14(X0,X1),X0)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f233,f191]) ).
fof(f233,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK14(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f198,f191]) ).
fof(f198,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X0,set_type)
| member(sK14(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f132]) ).
fof(f1051,plain,
( ! [X0] :
( ~ member(X0,range_of(sK13))
| member(X0,sK12) )
| ~ spl20_12 ),
inference(resolution,[],[f1000,f229]) ).
fof(f229,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| member(X3,X1)
| ~ member(X3,X0) ),
inference(subsumption_resolution,[],[f228,f191]) ).
fof(f228,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X0,set_type)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f227,f191]) ).
fof(f227,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| ~ ilf_type(X0,set_type)
| ~ member(X0,power_set(X1))
| member(X3,X1) ),
inference(subsumption_resolution,[],[f143,f191]) ).
fof(f143,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ( member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type)
& ~ member(sK1(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| member(X3,X1) )
| ~ member(X0,power_set(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) )
=> ( member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type)
& ~ member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| member(X3,X1) )
| ~ member(X0,power_set(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ member(X0,power_set(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
fof(f1000,plain,
( member(range_of(sK13),power_set(sK12))
| ~ spl20_12 ),
inference(resolution,[],[f998,f356]) ).
fof(f356,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f355,f242]) ).
fof(f242,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f184,f191]) ).
fof(f184,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f355,plain,
! [X0,X1] :
( empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(resolution,[],[f264,f255]) ).
fof(f255,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f254,f191]) ).
fof(f254,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type)
| member(X0,X1) ),
inference(subsumption_resolution,[],[f205,f191]) ).
fof(f205,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f264,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f263,f191]) ).
fof(f263,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(subsumption_resolution,[],[f154,f191]) ).
fof(f154,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) )
& ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) ) ) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f998,plain,
( ilf_type(range_of(sK13),subset_type(sK12))
| ~ spl20_12 ),
inference(subsumption_resolution,[],[f996,f971]) ).
fof(f971,plain,
( ilf_type(sK13,relation_type(sK12,sK12))
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f970,plain,
( spl20_12
<=> ilf_type(sK13,relation_type(sK12,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f996,plain,
( ~ ilf_type(sK13,relation_type(sK12,sK12))
| ilf_type(range_of(sK13),subset_type(sK12)) ),
inference(superposition,[],[f314,f897]) ).
fof(f897,plain,
range_of(sK13) = range(sK12,sK12,sK13),
inference(resolution,[],[f888,f216]) ).
fof(f216,plain,
ilf_type(sK13,sF19),
inference(definition_folding,[],[f193,f215]) ).
fof(f215,plain,
identity_relation_of_type(sK12) = sF19,
introduced(function_definition,[]) ).
fof(f193,plain,
ilf_type(sK13,identity_relation_of_type(sK12)),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ilf_type(sK12,set_type)
& ( sK13 != compose(identity_relation_of(sK12),sK13)
| sK13 != compose(sK13,identity_relation_of(sK12)) )
& ilf_type(sK13,identity_relation_of_type(sK12)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f43,f127,f126]) ).
fof(f126,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ( compose(identity_relation_of(X0),X1) != X1
| compose(X1,identity_relation_of(X0)) != X1 )
& ilf_type(X1,identity_relation_of_type(X0)) ) )
=> ( ilf_type(sK12,set_type)
& ? [X1] :
( ( compose(identity_relation_of(sK12),X1) != X1
| compose(X1,identity_relation_of(sK12)) != X1 )
& ilf_type(X1,identity_relation_of_type(sK12)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X1] :
( ( compose(identity_relation_of(sK12),X1) != X1
| compose(X1,identity_relation_of(sK12)) != X1 )
& ilf_type(X1,identity_relation_of_type(sK12)) )
=> ( ( sK13 != compose(identity_relation_of(sK12),sK13)
| sK13 != compose(sK13,identity_relation_of(sK12)) )
& ilf_type(sK13,identity_relation_of_type(sK12)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ( compose(identity_relation_of(X0),X1) != X1
| compose(X1,identity_relation_of(X0)) != X1 )
& ilf_type(X1,identity_relation_of_type(X0)) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(X1,identity_relation_of(X0)) = X1
& compose(identity_relation_of(X0),X1) = X1 ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(X1,identity_relation_of(X0)) = X1
& compose(identity_relation_of(X0),X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_45) ).
fof(f888,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| range_of(X0) = range(sK12,sK12,X0) ),
inference(superposition,[],[f832,f215]) ).
fof(f832,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| range_of(X1) = range(X0,X0,X1) ),
inference(resolution,[],[f289,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ),
inference(subsumption_resolution,[],[f292,f191]) ).
fof(f292,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f141,f191]) ).
fof(f141,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X0,set_type)
| ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(subsumption_resolution,[],[f288,f191]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f152,f191]) ).
fof(f152,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34) ).
fof(f314,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f313,f191]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(subsumption_resolution,[],[f181,f191]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
fof(f1954,plain,
( spl20_2
| ~ spl20_5
| ~ spl20_13 ),
inference(avatar_split_clause,[],[f1949,f974,f542,f250]) ).
fof(f250,plain,
( spl20_2
<=> sF17 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f974,plain,
( spl20_13
<=> ilf_type(domain_of(sK13),subset_type(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f1949,plain,
( sF17 = sK13
| ~ spl20_5
| ~ spl20_13 ),
inference(superposition,[],[f1948,f212]) ).
fof(f212,plain,
sF17 = compose(sF16,sK13),
introduced(function_definition,[]) ).
fof(f1948,plain,
( compose(sF16,sK13) = sK13
| ~ spl20_5
| ~ spl20_13 ),
inference(forward_demodulation,[],[f1947,f211]) ).
fof(f1947,plain,
( sK13 = compose(identity_relation_of(sK12),sK13)
| ~ spl20_5
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1942,f543]) ).
fof(f1942,plain,
( ~ ilf_type(sK13,binary_relation_type)
| sK13 = compose(identity_relation_of(sK12),sK13)
| ~ spl20_13 ),
inference(resolution,[],[f1941,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| compose(identity_relation_of(X0),X1) = X1 ),
inference(subsumption_resolution,[],[f189,f191]) ).
fof(f189,plain,
! [X0,X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0)
| compose(identity_relation_of(X0),X1) = X1 )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> compose(identity_relation_of(X0),X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f1941,plain,
( subset(domain_of(sK13),sK12)
| ~ spl20_13 ),
inference(duplicate_literal_removal,[],[f1937]) ).
fof(f1937,plain,
( subset(domain_of(sK13),sK12)
| subset(domain_of(sK13),sK12)
| ~ spl20_13 ),
inference(resolution,[],[f1285,f291]) ).
fof(f1285,plain,
( ! [X1] :
( member(sK14(domain_of(sK13),X1),sK12)
| subset(domain_of(sK13),X1) )
| ~ spl20_13 ),
inference(resolution,[],[f1001,f234]) ).
fof(f1001,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK13))
| member(X0,sK12) )
| ~ spl20_13 ),
inference(resolution,[],[f988,f229]) ).
fof(f988,plain,
( member(domain_of(sK13),power_set(sK12))
| ~ spl20_13 ),
inference(resolution,[],[f976,f356]) ).
fof(f976,plain,
( ilf_type(domain_of(sK13),subset_type(sK12))
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f982,plain,
spl20_12,
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f981,plain,
( $false
| spl20_12 ),
inference(subsumption_resolution,[],[f980,f216]) ).
fof(f980,plain,
( ~ ilf_type(sK13,sF19)
| spl20_12 ),
inference(forward_demodulation,[],[f978,f215]) ).
fof(f978,plain,
( ~ ilf_type(sK13,identity_relation_of_type(sK12))
| spl20_12 ),
inference(resolution,[],[f972,f293]) ).
fof(f972,plain,
( ~ ilf_type(sK13,relation_type(sK12,sK12))
| spl20_12 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f977,plain,
( ~ spl20_12
| spl20_13 ),
inference(avatar_split_clause,[],[f966,f974,f970]) ).
fof(f966,plain,
( ilf_type(domain_of(sK13),subset_type(sK12))
| ~ ilf_type(sK13,relation_type(sK12,sK12)) ),
inference(superposition,[],[f312,f915]) ).
fof(f915,plain,
domain(sK12,sK12,sK13) = domain_of(sK13),
inference(resolution,[],[f906,f216]) ).
fof(f906,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| domain_of(X0) = domain(sK12,sK12,X0) ),
inference(superposition,[],[f840,f215]) ).
fof(f840,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| domain_of(X1) = domain(X0,X0,X1) ),
inference(resolution,[],[f305,f293]) ).
fof(f305,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(subsumption_resolution,[],[f304,f191]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f164,f191]) ).
fof(f164,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32) ).
fof(f312,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f311,f191]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ),
inference(subsumption_resolution,[],[f150,f191]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
fof(f646,plain,
spl20_5,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f645,plain,
( $false
| spl20_5 ),
inference(subsumption_resolution,[],[f644,f556]) ).
fof(f556,plain,
( ~ relation_like(sK13)
| spl20_5 ),
inference(resolution,[],[f544,f275]) ).
fof(f275,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f219,f191]) ).
fof(f219,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
fof(f544,plain,
( ~ ilf_type(sK13,binary_relation_type)
| spl20_5 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f644,plain,
relation_like(sK13),
inference(resolution,[],[f638,f216]) ).
fof(f638,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| relation_like(X0) ),
inference(superposition,[],[f628,f215]) ).
fof(f628,plain,
! [X0,X1] :
( ~ ilf_type(X0,identity_relation_of_type(X1))
| relation_like(X0) ),
inference(resolution,[],[f626,f293]) ).
fof(f626,plain,
! [X3,X4,X5] :
( ~ ilf_type(X3,relation_type(X4,X5))
| relation_like(X3) ),
inference(resolution,[],[f282,f301]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f300,f191]) ).
fof(f300,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f166,f191]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25) ).
fof(f282,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f281,f191]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f173,f191]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f253,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f214,f250,f246]) ).
fof(f214,plain,
( sF17 != sK13
| sK13 != sF18 ),
inference(definition_folding,[],[f194,f213,f211,f212,f211]) ).
fof(f194,plain,
( sK13 != compose(identity_relation_of(sK12),sK13)
| sK13 != compose(sK13,identity_relation_of(sK12)) ),
inference(cnf_transformation,[],[f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET678+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : 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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:36:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.52 % (4381)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (4401)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (4406)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (4382)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (4380)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (4379)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (4399)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (4384)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (4386)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (4388)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (4407)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (4385)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (4390)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (4396)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (4380)Refutation not found, incomplete strategy% (4380)------------------------------
% 0.19/0.54 % (4380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4391)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (4397)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (4380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4380)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (4380)Memory used [KB]: 5628
% 0.19/0.54 % (4380)Time elapsed: 0.107 s
% 0.19/0.54 % (4380)Instructions burned: 8 (million)
% 0.19/0.54 % (4380)------------------------------
% 0.19/0.54 % (4380)------------------------------
% 0.19/0.54 % (4395)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (4383)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (4392)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (4394)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.55 % (4398)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (4393)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (4389)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (4404)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (4403)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (4400)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (4408)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55 TRYING [2]
% 0.19/0.56 % (4405)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56 % (4387)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (4387)Instruction limit reached!
% 0.19/0.56 % (4387)------------------------------
% 0.19/0.56 % (4387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (4387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (4387)Termination reason: Unknown
% 0.19/0.56 % (4387)Termination phase: Preprocessing 3
% 0.19/0.56
% 0.19/0.56 % (4387)Memory used [KB]: 895
% 0.19/0.56 % (4387)Time elapsed: 0.003 s
% 0.19/0.56 % (4387)Instructions burned: 2 (million)
% 0.19/0.56 % (4387)------------------------------
% 0.19/0.56 % (4387)------------------------------
% 0.19/0.56 % (4386)Instruction limit reached!
% 0.19/0.56 % (4386)------------------------------
% 0.19/0.56 % (4386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (4402)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.56 % (4386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (4386)Termination reason: Unknown
% 0.19/0.56 % (4386)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (4386)Memory used [KB]: 5500
% 0.19/0.56 % (4386)Time elapsed: 0.141 s
% 0.19/0.56 % (4386)Instructions burned: 7 (million)
% 0.19/0.56 % (4386)------------------------------
% 0.19/0.56 % (4386)------------------------------
% 0.19/0.57 TRYING [3]
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.58 TRYING [3]
% 1.77/0.60 % (4385)Instruction limit reached!
% 1.77/0.60 % (4385)------------------------------
% 1.77/0.60 % (4385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60 % (4385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60 % (4385)Termination reason: Unknown
% 1.77/0.60 % (4385)Termination phase: Finite model building constraint generation
% 1.77/0.60
% 1.77/0.60 % (4385)Memory used [KB]: 7675
% 1.77/0.60 % (4385)Time elapsed: 0.119 s
% 1.77/0.60 % (4385)Instructions burned: 54 (million)
% 1.77/0.60 % (4385)------------------------------
% 1.77/0.60 % (4385)------------------------------
% 1.77/0.60 % (4381)Instruction limit reached!
% 1.77/0.60 % (4381)------------------------------
% 1.77/0.60 % (4381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60 % (4381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60 % (4381)Termination reason: Unknown
% 1.77/0.60 % (4381)Termination phase: Saturation
% 1.77/0.60
% 1.77/0.60 % (4381)Memory used [KB]: 1535
% 1.77/0.60 % (4381)Time elapsed: 0.182 s
% 1.77/0.60 % (4381)Instructions burned: 37 (million)
% 1.77/0.60 % (4381)------------------------------
% 1.77/0.60 % (4381)------------------------------
% 2.03/0.62 % (4388)Instruction limit reached!
% 2.03/0.62 % (4388)------------------------------
% 2.03/0.62 % (4388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 TRYING [3]
% 2.03/0.62 % (4396)Instruction limit reached!
% 2.03/0.62 % (4396)------------------------------
% 2.03/0.62 % (4396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 % (4396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (4396)Termination reason: Unknown
% 2.03/0.62 % (4396)Termination phase: Finite model building constraint generation
% 2.03/0.62
% 2.03/0.62 % (4396)Memory used [KB]: 7931
% 2.03/0.62 % (4396)Time elapsed: 0.216 s
% 2.03/0.62 % (4396)Instructions burned: 59 (million)
% 2.03/0.62 % (4396)------------------------------
% 2.03/0.62 % (4396)------------------------------
% 2.03/0.62 % (4383)Instruction limit reached!
% 2.03/0.62 % (4383)------------------------------
% 2.03/0.62 % (4383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 % (4383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (4383)Termination reason: Unknown
% 2.03/0.62 % (4383)Termination phase: Saturation
% 2.03/0.62
% 2.03/0.62 % (4383)Memory used [KB]: 6396
% 2.03/0.62 % (4383)Time elapsed: 0.217 s
% 2.03/0.62 % (4383)Instructions burned: 51 (million)
% 2.03/0.62 % (4383)------------------------------
% 2.03/0.62 % (4383)------------------------------
% 2.03/0.62 % (4384)Instruction limit reached!
% 2.03/0.62 % (4384)------------------------------
% 2.03/0.62 % (4384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62 % (4384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (4384)Termination reason: Unknown
% 2.03/0.62 % (4384)Termination phase: Saturation
% 2.03/0.62
% 2.03/0.62 % (4384)Memory used [KB]: 6012
% 2.03/0.62 % (4384)Time elapsed: 0.206 s
% 2.03/0.62 % (4384)Instructions burned: 48 (million)
% 2.03/0.62 % (4384)------------------------------
% 2.03/0.62 % (4384)------------------------------
% 2.03/0.63 % (4388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (4388)Termination reason: Unknown
% 2.03/0.63 % (4388)Termination phase: Saturation
% 2.03/0.63
% 2.03/0.63 % (4388)Memory used [KB]: 1663
% 2.03/0.63 % (4388)Time elapsed: 0.221 s
% 2.03/0.63 % (4388)Instructions burned: 52 (million)
% 2.03/0.63 % (4388)------------------------------
% 2.03/0.63 % (4388)------------------------------
% 2.03/0.63 % (4382)Instruction limit reached!
% 2.03/0.63 % (4382)------------------------------
% 2.03/0.63 % (4382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63 % (4382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (4382)Termination reason: Unknown
% 2.03/0.63 % (4382)Termination phase: Saturation
% 2.03/0.63
% 2.03/0.63 % (4382)Memory used [KB]: 6396
% 2.03/0.63 % (4382)Time elapsed: 0.212 s
% 2.03/0.63 % (4382)Instructions burned: 51 (million)
% 2.03/0.63 % (4382)------------------------------
% 2.03/0.63 % (4382)------------------------------
% 2.03/0.64 % (4389)Instruction limit reached!
% 2.03/0.64 % (4389)------------------------------
% 2.03/0.64 % (4389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65 % (4389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65 % (4389)Termination reason: Unknown
% 2.27/0.65 % (4389)Termination phase: Saturation
% 2.27/0.65
% 2.27/0.65 % (4389)Memory used [KB]: 6268
% 2.27/0.65 % (4389)Time elapsed: 0.226 s
% 2.27/0.65 % (4389)Instructions burned: 50 (million)
% 2.27/0.65 % (4389)------------------------------
% 2.27/0.65 % (4389)------------------------------
% 2.27/0.68 % (4405)Instruction limit reached!
% 2.27/0.68 % (4405)------------------------------
% 2.27/0.68 % (4405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.68 % (4409)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.27/0.69 % (4393)Instruction limit reached!
% 2.27/0.69 % (4393)------------------------------
% 2.27/0.69 % (4393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69 % (4393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69 % (4393)Termination reason: Unknown
% 2.27/0.69 % (4393)Termination phase: Saturation
% 2.27/0.69
% 2.27/0.69 % (4393)Memory used [KB]: 6908
% 2.27/0.69 % (4393)Time elapsed: 0.041 s
% 2.27/0.69 % (4393)Instructions burned: 69 (million)
% 2.27/0.69 % (4393)------------------------------
% 2.27/0.69 % (4393)------------------------------
% 2.27/0.70 % (4405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (4405)Termination reason: Unknown
% 2.27/0.70 % (4405)Termination phase: Saturation
% 2.27/0.70
% 2.27/0.70 % (4405)Memory used [KB]: 6908
% 2.27/0.70 % (4405)Time elapsed: 0.041 s
% 2.27/0.70 % (4405)Instructions burned: 68 (million)
% 2.27/0.70 % (4405)------------------------------
% 2.27/0.70 % (4405)------------------------------
% 2.27/0.70 % (4394)Instruction limit reached!
% 2.27/0.70 % (4394)------------------------------
% 2.27/0.70 % (4394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70 % (4391)First to succeed.
% 2.27/0.71 % (4391)Refutation found. Thanks to Tanya!
% 2.27/0.71 % SZS status Theorem for theBenchmark
% 2.27/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.27/0.71 % (4391)------------------------------
% 2.27/0.71 % (4391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.71 % (4391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.71 % (4391)Termination reason: Refutation
% 2.27/0.71
% 2.27/0.71 % (4391)Memory used [KB]: 6780
% 2.27/0.71 % (4391)Time elapsed: 0.303 s
% 2.27/0.71 % (4391)Instructions burned: 72 (million)
% 2.27/0.71 % (4391)------------------------------
% 2.27/0.71 % (4391)------------------------------
% 2.27/0.71 % (4378)Success in time 0.343 s
%------------------------------------------------------------------------------