TSTP Solution File: SET674+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET674+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 : n004.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 18:25:18 EDT 2022
% Result : Theorem 3.86s 1.03s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 41
% Syntax : Number of formulae : 268 ( 25 unt; 0 def)
% Number of atoms : 1073 ( 78 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1382 ( 577 ~; 577 |; 124 &)
% ( 28 <=>; 76 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 10 con; 0-4 aty)
% Number of variables : 545 ( 507 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6389,plain,
$false,
inference(avatar_sat_refutation,[],[f267,f2738,f2744,f5913,f5915,f6387]) ).
fof(f6387,plain,
( spl24_1
| ~ spl24_82
| ~ spl24_83 ),
inference(avatar_contradiction_clause,[],[f6386]) ).
fof(f6386,plain,
( $false
| spl24_1
| ~ spl24_82
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f6385,f6288]) ).
fof(f6288,plain,
( ~ subset(sF20,sF21)
| spl24_1
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f6287,f262]) ).
fof(f262,plain,
( sF21 != sF20
| spl24_1 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl24_1
<=> sF21 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f6287,plain,
( ~ subset(sF20,sF21)
| sF21 = sF20
| ~ spl24_83 ),
inference(resolution,[],[f6284,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(subsumption_resolution,[],[f275,f161]) ).
fof(f161,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40) ).
fof(f275,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(subsumption_resolution,[],[f179,f161]) ).
fof(f179,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| X0 = X1
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f6284,plain,
( subset(sF21,sF20)
| ~ spl24_83 ),
inference(duplicate_literal_removal,[],[f6281]) ).
fof(f6281,plain,
( subset(sF21,sF20)
| subset(sF21,sF20)
| ~ spl24_83 ),
inference(resolution,[],[f6003,f330]) ).
fof(f330,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f329,f161]) ).
fof(f329,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f168,f161]) ).
fof(f168,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| subset(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ilf_type(sK1(X0,X1),set_type)
& ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f98,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X3] :
( ilf_type(X3,set_type)
& ~ member(X3,X1)
& member(X3,X0) )
=> ( ilf_type(sK1(X0,X1),set_type)
& ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ilf_type(X3,set_type)
& ~ member(X3,X1)
& member(X3,X0) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) )
<=> subset(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f6003,plain,
( ! [X2] :
( member(sK1(sF21,X2),sF20)
| subset(sF21,X2) )
| ~ spl24_83 ),
inference(resolution,[],[f5989,f288]) ).
fof(f288,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f287,f161]) ).
fof(f287,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f167,f161]) ).
fof(f167,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| ~ ilf_type(X0,set_type)
| subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f100]) ).
fof(f5989,plain,
( ! [X8] :
( ~ member(X8,sF21)
| member(X8,sF20) )
| ~ spl24_83 ),
inference(forward_demodulation,[],[f5988,f1615]) ).
fof(f1615,plain,
range_of(sK17) = sF20,
inference(forward_demodulation,[],[f1614,f243]) ).
fof(f243,plain,
range(sK15,sK16,sK17) = sF20,
introduced(function_definition,[]) ).
fof(f1614,plain,
range(sK15,sK16,sK17) = range_of(sK17),
inference(resolution,[],[f470,f242]) ).
fof(f242,plain,
ilf_type(sK17,sF19),
inference(definition_folding,[],[f231,f241]) ).
fof(f241,plain,
relation_type(sK15,sK16) = sF19,
introduced(function_definition,[]) ).
fof(f231,plain,
ilf_type(sK17,relation_type(sK15,sK16)),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ilf_type(sK16,set_type)
& ilf_type(sK17,relation_type(sK15,sK16))
& ( range(sK15,sK16,sK17) != image4(sK15,sK16,sK17,sK15)
| domain(sK15,sK16,sK17) != inverse4(sK15,sK16,sK17,sK16) )
& ilf_type(sK15,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f48,f148,f147,f146]) ).
fof(f146,plain,
( ? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( range(X0,X1,X2) != image4(X0,X1,X2,X0)
| domain(X0,X1,X2) != inverse4(X0,X1,X2,X1) ) ) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(sK15,X1))
& ( image4(sK15,X1,X2,sK15) != range(sK15,X1,X2)
| domain(sK15,X1,X2) != inverse4(sK15,X1,X2,X1) ) ) )
& ilf_type(sK15,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(sK15,X1))
& ( image4(sK15,X1,X2,sK15) != range(sK15,X1,X2)
| domain(sK15,X1,X2) != inverse4(sK15,X1,X2,X1) ) ) )
=> ( ilf_type(sK16,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(sK15,sK16))
& ( range(sK15,sK16,X2) != image4(sK15,sK16,X2,sK15)
| inverse4(sK15,sK16,X2,sK16) != domain(sK15,sK16,X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X2] :
( ilf_type(X2,relation_type(sK15,sK16))
& ( range(sK15,sK16,X2) != image4(sK15,sK16,X2,sK15)
| inverse4(sK15,sK16,X2,sK16) != domain(sK15,sK16,X2) ) )
=> ( ilf_type(sK17,relation_type(sK15,sK16))
& ( range(sK15,sK16,sK17) != image4(sK15,sK16,sK17,sK15)
| domain(sK15,sK16,sK17) != inverse4(sK15,sK16,sK17,sK16) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( range(X0,X1,X2) != image4(X0,X1,X2,X0)
| domain(X0,X1,X2) != inverse4(X0,X1,X2,X1) ) ) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( domain(X0,X1,X2) = inverse4(X0,X1,X2,X1)
& range(X0,X1,X2) = image4(X0,X1,X2,X0) ) ) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( domain(X0,X1,X2) = inverse4(X0,X1,X2,X1)
& range(X0,X1,X2) = image4(X0,X1,X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_38) ).
fof(f470,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| range_of(X0) = range(sK15,sK16,X0) ),
inference(superposition,[],[f295,f241]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(subsumption_resolution,[],[f294,f161]) ).
fof(f294,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f214,f161]) ).
fof(f214,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ) ) ),
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_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34) ).
fof(f5988,plain,
( ! [X8] :
( ~ member(X8,sF21)
| member(X8,range_of(sK17)) )
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f5979,f2736]) ).
fof(f2736,plain,
( ilf_type(sK17,binary_relation_type)
| ~ spl24_83 ),
inference(avatar_component_clause,[],[f2735]) ).
fof(f2735,plain,
( spl24_83
<=> ilf_type(sK17,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_83])]) ).
fof(f5979,plain,
! [X8] :
( ~ member(X8,sF21)
| ~ ilf_type(sK17,binary_relation_type)
| member(X8,range_of(sK17)) ),
inference(superposition,[],[f1235,f5964]) ).
fof(f5964,plain,
sF21 = image(sK17,sK15),
inference(superposition,[],[f2333,f244]) ).
fof(f244,plain,
sF21 = image4(sK15,sK16,sK17,sK15),
introduced(function_definition,[]) ).
fof(f2333,plain,
! [X6] : image4(sK15,sK16,sK17,X6) = image(sK17,X6),
inference(resolution,[],[f1181,f242]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ ilf_type(X0,sF19)
| image(X0,X1) = image4(sK15,sK16,X0,X1) ),
inference(superposition,[],[f327,f241]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| image4(X0,X1,X2,X3) = image(X2,X3) ),
inference(subsumption_resolution,[],[f326,f161]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f325,f161]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,set_type)
| image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f200,f161]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X3,set_type) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ! [X3] :
( image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X3,set_type) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> image4(X0,X1,X2,X3) = image(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36) ).
fof(f1235,plain,
! [X21,X22,X20] :
( ~ member(X20,image(X21,X22))
| ~ ilf_type(X21,binary_relation_type)
| member(X20,range_of(X21)) ),
inference(duplicate_literal_removal,[],[f1223]) ).
fof(f1223,plain,
! [X21,X22,X20] :
( ~ ilf_type(X21,binary_relation_type)
| member(X20,range_of(X21))
| ~ member(X20,image(X21,X22))
| ~ ilf_type(X21,binary_relation_type) ),
inference(resolution,[],[f324,f343]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,range_of(X2)) ),
inference(subsumption_resolution,[],[f342,f161]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f209,f161]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f324,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK12(X0,X1,X2),X1),X2)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f323,f161]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ member(X1,image(X2,X0))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(sK12(X0,X1,X2),X1),X2) ),
inference(subsumption_resolution,[],[f223,f161]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(sK12(X0,X1,X2),X1),X2)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0) ) )
& ( ( ilf_type(sK12(X0,X1,X2),set_type)
& member(ordered_pair(sK12(X0,X1,X2),X1),X2)
& member(sK12(X0,X1,X2),X0) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f139,f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X1),X2)
& member(X4,X0) )
=> ( ilf_type(sK12(X0,X1,X2),set_type)
& member(ordered_pair(sK12(X0,X1,X2),X1),X2)
& member(sK12(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0) ) )
& ( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X1),X2)
& member(X4,X0) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X2)
& member(X3,X0) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,image(X2,X0))
<=> ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X2)
& member(X3,X0) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,image(X2,X0))
<=> ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X2)
& member(X3,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f6385,plain,
( subset(sF20,sF21)
| ~ spl24_82
| ~ spl24_83 ),
inference(duplicate_literal_removal,[],[f6382]) ).
fof(f6382,plain,
( subset(sF20,sF21)
| subset(sF20,sF21)
| ~ spl24_82
| ~ spl24_83 ),
inference(resolution,[],[f6096,f330]) ).
fof(f6096,plain,
( ! [X3] :
( member(sK1(sF20,X3),sF21)
| subset(sF20,X3) )
| ~ spl24_82
| ~ spl24_83 ),
inference(resolution,[],[f5975,f288]) ).
fof(f5975,plain,
( ! [X0] :
( ~ member(X0,sF20)
| member(X0,sF21) )
| ~ spl24_82
| ~ spl24_83 ),
inference(superposition,[],[f5121,f5964]) ).
fof(f5121,plain,
( ! [X7] :
( member(X7,image(sK17,sK15))
| ~ member(X7,sF20) )
| ~ spl24_82
| ~ spl24_83 ),
inference(duplicate_literal_removal,[],[f5120]) ).
fof(f5120,plain,
( ! [X7] :
( member(X7,image(sK17,sK15))
| ~ member(X7,sF20)
| ~ member(X7,sF20) )
| ~ spl24_82
| ~ spl24_83 ),
inference(forward_demodulation,[],[f5119,f1615]) ).
fof(f5119,plain,
( ! [X7] :
( ~ member(X7,range_of(sK17))
| member(X7,image(sK17,sK15))
| ~ member(X7,sF20) )
| ~ spl24_82
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f5113,f2736]) ).
fof(f5113,plain,
( ! [X7] :
( ~ member(X7,range_of(sK17))
| member(X7,image(sK17,sK15))
| ~ ilf_type(sK17,binary_relation_type)
| ~ member(X7,sF20) )
| ~ spl24_82 ),
inference(resolution,[],[f1217,f2750]) ).
fof(f2750,plain,
( ! [X0] :
( member(sK8(X0,sK17),sK15)
| ~ member(X0,sF20) )
| ~ spl24_82 ),
inference(resolution,[],[f2733,f464]) ).
fof(f464,plain,
! [X0] :
( ~ member(X0,sF22)
| member(X0,sK15) ),
inference(resolution,[],[f463,f272]) ).
fof(f272,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| member(X3,X1)
| ~ member(X3,X0) ),
inference(subsumption_resolution,[],[f271,f161]) ).
fof(f271,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ ilf_type(X0,set_type)
| ~ member(X0,power_set(X1))
| ~ member(X3,X0) ),
inference(subsumption_resolution,[],[f270,f161]) ).
fof(f270,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f205,f161]) ).
fof(f205,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| member(X3,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ilf_type(sK9(X0,X1),set_type)
& ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f126,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) )
=> ( ilf_type(sK9(X0,X1),set_type)
& ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f59]) ).
fof(f59,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,[],[f24]) ).
fof(f24,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',p24) ).
fof(f463,plain,
member(sF22,power_set(sK15)),
inference(resolution,[],[f462,f405]) ).
fof(f405,plain,
! [X2,X3] :
( ~ ilf_type(X2,subset_type(X3))
| member(X2,power_set(X3)) ),
inference(subsumption_resolution,[],[f404,f284]) ).
fof(f284,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f183,f161]) ).
fof(f183,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25) ).
fof(f404,plain,
! [X2,X3] :
( member(X2,power_set(X3))
| empty(power_set(X3))
| ~ ilf_type(X2,subset_type(X3)) ),
inference(resolution,[],[f360,f339]) ).
fof(f339,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| member(X0,X1) ),
inference(subsumption_resolution,[],[f338,f161]) ).
fof(f338,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f216,f161]) ).
fof(f216,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f77]) ).
fof(f77,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,[],[f26]) ).
fof(f26,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',p26) ).
fof(f360,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f359,f161]) ).
fof(f359,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f177,f161]) ).
fof(f177,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f462,plain,
ilf_type(sF22,subset_type(sK15)),
inference(subsumption_resolution,[],[f461,f242]) ).
fof(f461,plain,
( ~ ilf_type(sK17,sF19)
| ilf_type(sF22,subset_type(sK15)) ),
inference(forward_demodulation,[],[f460,f241]) ).
fof(f460,plain,
( ~ ilf_type(sK17,relation_type(sK15,sK16))
| ilf_type(sF22,subset_type(sK15)) ),
inference(superposition,[],[f293,f245]) ).
fof(f245,plain,
sF22 = domain(sK15,sK16,sK17),
introduced(function_definition,[]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f292,f161]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f236,f161]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [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)) ) ) ),
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(f2733,plain,
( ! [X0] :
( member(sK8(X0,sK17),sF22)
| ~ member(X0,sF20) )
| ~ spl24_82 ),
inference(avatar_component_clause,[],[f2732]) ).
fof(f2732,plain,
( spl24_82
<=> ! [X0] :
( member(sK8(X0,sK17),sF22)
| ~ member(X0,sF20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_82])]) ).
fof(f1217,plain,
! [X2,X0,X1] :
( ~ member(sK8(X0,X1),X2)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(X0,image(X1,X2)) ),
inference(duplicate_literal_removal,[],[f1212]) ).
fof(f1212,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1))
| member(X0,image(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(sK8(X0,X1),X2) ),
inference(resolution,[],[f320,f306]) ).
fof(f306,plain,
! [X0,X1] :
( member(ordered_pair(sK8(X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(subsumption_resolution,[],[f204,f161]) ).
fof(f204,plain,
! [X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,range_of(X1))
| member(ordered_pair(sK8(X0,X1),X0),X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ( member(ordered_pair(sK8(X0,X1),X0),X1)
& ilf_type(sK8(X0,X1),set_type) )
| ~ member(X0,range_of(X1)) )
& ( member(X0,range_of(X1))
| ! [X3] :
( ~ member(ordered_pair(X3,X0),X1)
| ~ ilf_type(X3,set_type) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f122,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
=> ( member(ordered_pair(sK8(X0,X1),X0),X1)
& ilf_type(sK8(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1)) )
& ( member(X0,range_of(X1))
| ! [X3] :
( ~ member(ordered_pair(X3,X0),X1)
| ~ ilf_type(X3,set_type) ) ) ) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1)) )
& ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) ) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
<=> member(X0,range_of(X1)) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
<=> member(X0,range_of(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X3,X1),X2)
| member(X1,image(X2,X0))
| ~ member(X3,X0)
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f319,f161]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X1,set_type)
| member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f318,f161]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,X0)
| member(X1,image(X2,X0))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X3,X1),X2) ),
inference(subsumption_resolution,[],[f225,f161]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,binary_relation_type)
| ~ member(X3,X0)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| member(X1,image(X2,X0))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f141]) ).
fof(f5915,plain,
( spl24_2
| ~ spl24_48
| ~ spl24_83 ),
inference(avatar_split_clause,[],[f5914,f2735,f1061,f264]) ).
fof(f264,plain,
( spl24_2
<=> sF22 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f1061,plain,
( spl24_48
<=> subset(sF22,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_48])]) ).
fof(f5914,plain,
( sF22 = sF23
| ~ spl24_48
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f5792,f1062]) ).
fof(f1062,plain,
( subset(sF22,sF23)
| ~ spl24_48 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f5792,plain,
( sF22 = sF23
| ~ subset(sF22,sF23)
| ~ spl24_83 ),
inference(resolution,[],[f5789,f276]) ).
fof(f5789,plain,
( subset(sF23,sF22)
| ~ spl24_83 ),
inference(duplicate_literal_removal,[],[f5786]) ).
fof(f5786,plain,
( subset(sF23,sF22)
| subset(sF23,sF22)
| ~ spl24_83 ),
inference(resolution,[],[f5494,f330]) ).
fof(f5494,plain,
( ! [X2] :
( member(sK1(sF23,X2),sF22)
| subset(sF23,X2) )
| ~ spl24_83 ),
inference(resolution,[],[f5485,f288]) ).
fof(f5485,plain,
( ! [X5] :
( ~ member(X5,sF23)
| member(X5,sF22) )
| ~ spl24_83 ),
inference(forward_demodulation,[],[f5484,f1622]) ).
fof(f1622,plain,
domain_of(sK17) = sF22,
inference(forward_demodulation,[],[f1621,f245]) ).
fof(f1621,plain,
domain_of(sK17) = domain(sK15,sK16,sK17),
inference(resolution,[],[f508,f242]) ).
fof(f508,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| domain_of(X0) = domain(sK15,sK16,X0) ),
inference(superposition,[],[f305,f241]) ).
fof(f305,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(subsumption_resolution,[],[f304,f161]) ).
fof(f304,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f154,f161]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ) )
| ~ 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_of(X2) = domain(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32) ).
fof(f5484,plain,
( ! [X5] :
( ~ member(X5,sF23)
| member(X5,domain_of(sK17)) )
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f5481,f2736]) ).
fof(f5481,plain,
! [X5] :
( ~ ilf_type(sK17,binary_relation_type)
| member(X5,domain_of(sK17))
| ~ member(X5,sF23) ),
inference(superposition,[],[f1259,f5470]) ).
fof(f5470,plain,
sF23 = inverse2(sK17,sK16),
inference(superposition,[],[f2314,f246]) ).
fof(f246,plain,
sF23 = inverse4(sK15,sK16,sK17,sK16),
introduced(function_definition,[]) ).
fof(f2314,plain,
! [X6] : inverse4(sK15,sK16,sK17,X6) = inverse2(sK17,X6),
inference(resolution,[],[f1020,f242]) ).
fof(f1020,plain,
! [X0,X1] :
( ~ ilf_type(X0,sF19)
| inverse2(X0,X1) = inverse4(sK15,sK16,X0,X1) ),
inference(superposition,[],[f283,f241]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ),
inference(subsumption_resolution,[],[f282,f161]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( inverse4(X0,X1,X2,X3) = inverse2(X2,X3)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f281,f161]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ),
inference(subsumption_resolution,[],[f160,f161]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X0,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( inverse4(X0,X1,X2,X3) = inverse2(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,relation_type(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38) ).
fof(f1259,plain,
! [X24,X25,X23] :
( ~ member(X23,inverse2(X24,X25))
| member(X23,domain_of(X24))
| ~ ilf_type(X24,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f1250]) ).
fof(f1250,plain,
! [X24,X25,X23] :
( ~ member(X23,inverse2(X24,X25))
| ~ ilf_type(X24,binary_relation_type)
| ~ ilf_type(X24,binary_relation_type)
| member(X23,domain_of(X24)) ),
inference(resolution,[],[f332,f274]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(subsumption_resolution,[],[f273,f161]) ).
fof(f273,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(subsumption_resolution,[],[f210,f161]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| member(X0,domain_of(X2)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f332,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,sK2(X0,X1,X2)),X2)
| ~ member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f331,f161]) ).
fof(f331,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,sK2(X0,X1,X2)),X2)
| ~ member(X1,inverse2(X2,X0))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f188,f161]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| member(ordered_pair(X1,sK2(X0,X1,X2)),X2)
| ~ member(X1,inverse2(X2,X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ( member(ordered_pair(X1,sK2(X0,X1,X2)),X2)
& ilf_type(sK2(X0,X1,X2),set_type)
& member(sK2(X0,X1,X2),X0) )
| ~ member(X1,inverse2(X2,X0)) )
& ( member(X1,inverse2(X2,X0))
| ! [X4] :
( ~ member(ordered_pair(X1,X4),X2)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X0) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) )
=> ( member(ordered_pair(X1,sK2(X0,X1,X2)),X2)
& ilf_type(sK2(X0,X1,X2),set_type)
& member(sK2(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) )
| ~ member(X1,inverse2(X2,X0)) )
& ( member(X1,inverse2(X2,X0))
| ! [X4] :
( ~ member(ordered_pair(X1,X4),X2)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X0) ) ) ) ) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) )
| ~ member(X1,inverse2(X2,X0)) )
& ( member(X1,inverse2(X2,X0))
| ! [X3] :
( ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) ) ) ) ) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) )
<=> member(X1,inverse2(X2,X0)) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) )
<=> member(X1,inverse2(X2,X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f5913,plain,
( spl24_48
| ~ spl24_83 ),
inference(avatar_contradiction_clause,[],[f5912]) ).
fof(f5912,plain,
( $false
| spl24_48
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f5911,f1063]) ).
fof(f1063,plain,
( ~ subset(sF22,sF23)
| spl24_48 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f5911,plain,
( subset(sF22,sF23)
| ~ spl24_83 ),
inference(duplicate_literal_removal,[],[f5908]) ).
fof(f5908,plain,
( subset(sF22,sF23)
| subset(sF22,sF23)
| ~ spl24_83 ),
inference(resolution,[],[f5603,f330]) ).
fof(f5603,plain,
( ! [X3] :
( member(sK1(sF22,X3),sF23)
| subset(sF22,X3) )
| ~ spl24_83 ),
inference(resolution,[],[f5478,f288]) ).
fof(f5478,plain,
( ! [X0] :
( ~ member(X0,sF22)
| member(X0,sF23) )
| ~ spl24_83 ),
inference(superposition,[],[f5156,f5470]) ).
fof(f5156,plain,
( ! [X10] :
( member(X10,inverse2(sK17,sK16))
| ~ member(X10,sF22) )
| ~ spl24_83 ),
inference(duplicate_literal_removal,[],[f5155]) ).
fof(f5155,plain,
( ! [X10] :
( member(X10,inverse2(sK17,sK16))
| ~ member(X10,sF22)
| ~ member(X10,sF22) )
| ~ spl24_83 ),
inference(forward_demodulation,[],[f5154,f1622]) ).
fof(f5154,plain,
( ! [X10] :
( member(X10,inverse2(sK17,sK16))
| ~ member(X10,sF22)
| ~ member(X10,domain_of(sK17)) )
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f5147,f2736]) ).
fof(f5147,plain,
( ! [X10] :
( ~ member(X10,sF22)
| member(X10,inverse2(sK17,sK16))
| ~ ilf_type(sK17,binary_relation_type)
| ~ member(X10,domain_of(sK17)) )
| ~ spl24_83 ),
inference(resolution,[],[f1388,f2948]) ).
fof(f2948,plain,
( ! [X0] :
( member(sK3(X0,sK17),sK16)
| ~ member(X0,sF22) )
| ~ spl24_83 ),
inference(resolution,[],[f2936,f630]) ).
fof(f630,plain,
! [X0] :
( ~ member(X0,sF20)
| member(X0,sK16) ),
inference(resolution,[],[f629,f272]) ).
fof(f629,plain,
member(sF20,power_set(sK16)),
inference(resolution,[],[f628,f405]) ).
fof(f628,plain,
ilf_type(sF20,subset_type(sK16)),
inference(subsumption_resolution,[],[f627,f242]) ).
fof(f627,plain,
( ilf_type(sF20,subset_type(sK16))
| ~ ilf_type(sK17,sF19) ),
inference(forward_demodulation,[],[f626,f241]) ).
fof(f626,plain,
( ~ ilf_type(sK17,relation_type(sK15,sK16))
| ilf_type(sF20,subset_type(sK16)) ),
inference(superposition,[],[f352,f243]) ).
fof(f352,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f351,f161]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f166,f161]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) )
| ~ ilf_type(X1,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(f2936,plain,
( ! [X4] :
( member(sK3(X4,sK17),sF20)
| ~ member(X4,sF22) )
| ~ spl24_83 ),
inference(forward_demodulation,[],[f2935,f1622]) ).
fof(f2935,plain,
( ! [X4] :
( member(sK3(X4,sK17),sF20)
| ~ member(X4,domain_of(sK17)) )
| ~ spl24_83 ),
inference(subsumption_resolution,[],[f2932,f2736]) ).
fof(f2932,plain,
! [X4] :
( member(sK3(X4,sK17),sF20)
| ~ member(X4,domain_of(sK17))
| ~ ilf_type(sK17,binary_relation_type) ),
inference(superposition,[],[f1208,f1615]) ).
fof(f1208,plain,
! [X12,X13] :
( member(sK3(X12,X13),range_of(X13))
| ~ member(X12,domain_of(X13))
| ~ ilf_type(X13,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f1198]) ).
fof(f1198,plain,
! [X12,X13] :
( member(sK3(X12,X13),range_of(X13))
| ~ member(X12,domain_of(X13))
| ~ ilf_type(X13,binary_relation_type)
| ~ ilf_type(X13,binary_relation_type) ),
inference(resolution,[],[f328,f343]) ).
fof(f328,plain,
! [X0,X1] :
( member(ordered_pair(X0,sK3(X0,X1)),X1)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(subsumption_resolution,[],[f190,f161]) ).
fof(f190,plain,
! [X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X0,sK3(X0,X1)),X1)
| ~ ilf_type(X0,set_type)
| ~ member(X0,domain_of(X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ( ( ilf_type(sK3(X0,X1),set_type)
& member(ordered_pair(X0,sK3(X0,X1)),X1) )
| ~ member(X0,domain_of(X1)) )
& ( member(X0,domain_of(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X0,X3),X1) ) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) )
=> ( ilf_type(sK3(X0,X1),set_type)
& member(ordered_pair(X0,sK3(X0,X1)),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) )
| ~ member(X0,domain_of(X1)) )
& ( member(X0,domain_of(X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X0,X3),X1) ) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) )
| ~ member(X0,domain_of(X1)) )
& ( member(X0,domain_of(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X0,X2),X1) ) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) )
<=> member(X0,domain_of(X1)) )
| ~ 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)
=> ( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) )
<=> member(X0,domain_of(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f1388,plain,
! [X3,X4,X5] :
( ~ member(sK3(X3,X4),X5)
| ~ member(X3,domain_of(X4))
| member(X3,inverse2(X4,X5))
| ~ ilf_type(X4,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f1381]) ).
fof(f1381,plain,
! [X3,X4,X5] :
( member(X3,inverse2(X4,X5))
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(sK3(X3,X4),X5)
| ~ member(X3,domain_of(X4)) ),
inference(resolution,[],[f355,f328]) ).
fof(f355,plain,
! [X2,X0,X1,X4] :
( ~ member(ordered_pair(X1,X4),X2)
| member(X1,inverse2(X2,X0))
| ~ member(X4,X0)
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f354,f161]) ).
fof(f354,plain,
! [X2,X0,X1,X4] :
( ~ member(X4,X0)
| ~ member(ordered_pair(X1,X4),X2)
| member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f353,f161]) ).
fof(f353,plain,
! [X2,X0,X1,X4] :
( ~ member(X4,X0)
| member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X1,X4),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f185,f161]) ).
fof(f185,plain,
! [X2,X0,X1,X4] :
( ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X1,X4),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| member(X1,inverse2(X2,X0))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f108]) ).
fof(f2744,plain,
spl24_83,
inference(avatar_contradiction_clause,[],[f2743]) ).
fof(f2743,plain,
( $false
| spl24_83 ),
inference(subsumption_resolution,[],[f2742,f468]) ).
fof(f468,plain,
relation_like(sK17),
inference(resolution,[],[f454,f242]) ).
fof(f454,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| relation_like(X0) ),
inference(superposition,[],[f451,f241]) ).
fof(f451,plain,
! [X3,X4,X5] :
( ~ ilf_type(X3,relation_type(X4,X5))
| relation_like(X3) ),
inference(resolution,[],[f358,f298]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f297,f161]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f162,f161]) ).
fof(f162,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,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',p29) ).
fof(f358,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f357,f161]) ).
fof(f357,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f171,f161]) ).
fof(f171,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,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(rectify,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,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',p8) ).
fof(f2742,plain,
( ~ relation_like(sK17)
| spl24_83 ),
inference(resolution,[],[f2737,f291]) ).
fof(f291,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f250,f161]) ).
fof(f250,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ( ilf_type(X0,set_type)
& relation_like(X0) )
<=> ilf_type(X0,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ( ilf_type(X0,set_type)
& relation_like(X0) )
<=> ilf_type(X0,binary_relation_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
fof(f2737,plain,
( ~ ilf_type(sK17,binary_relation_type)
| spl24_83 ),
inference(avatar_component_clause,[],[f2735]) ).
fof(f2738,plain,
( spl24_82
| ~ spl24_83 ),
inference(avatar_split_clause,[],[f2730,f2735,f2732]) ).
fof(f2730,plain,
! [X0] :
( ~ ilf_type(sK17,binary_relation_type)
| member(sK8(X0,sK17),sF22)
| ~ member(X0,sF20) ),
inference(forward_demodulation,[],[f2726,f1615]) ).
fof(f2726,plain,
! [X0] :
( ~ ilf_type(sK17,binary_relation_type)
| ~ member(X0,range_of(sK17))
| member(sK8(X0,sK17),sF22) ),
inference(superposition,[],[f1091,f1622]) ).
fof(f1091,plain,
! [X14,X15] :
( member(sK8(X15,X14),domain_of(X14))
| ~ member(X15,range_of(X14))
| ~ ilf_type(X14,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f1081]) ).
fof(f1081,plain,
! [X14,X15] :
( ~ ilf_type(X14,binary_relation_type)
| ~ ilf_type(X14,binary_relation_type)
| ~ member(X15,range_of(X14))
| member(sK8(X15,X14),domain_of(X14)) ),
inference(resolution,[],[f306,f274]) ).
fof(f267,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f247,f264,f260]) ).
fof(f247,plain,
( sF22 != sF23
| sF21 != sF20 ),
inference(definition_folding,[],[f230,f246,f245,f244,f243]) ).
fof(f230,plain,
( range(sK15,sK16,sK17) != image4(sK15,sK16,sK17,sK15)
| domain(sK15,sK16,sK17) != inverse4(sK15,sK16,sK17,sK16) ),
inference(cnf_transformation,[],[f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET674+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:10:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (25290)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (25282)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)
% 0.20/0.53 % (25277)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (25273)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)
% 0.20/0.53 % (25289)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)
% 0.20/0.54 % (25275)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)
% 0.20/0.54 % (25301)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (25296)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)
% 0.20/0.54 % (25295)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)
% 0.20/0.54 % (25278)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)
% 0.20/0.54 % (25297)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (25287)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)
% 0.20/0.54 % (25286)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (25274)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)
% 0.20/0.54 % (25285)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.55 % (25291)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (25292)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)
% 0.20/0.55 % (25281)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (25281)Instruction limit reached!
% 0.20/0.55 % (25281)------------------------------
% 0.20/0.55 % (25281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (25281)Termination reason: Unknown
% 0.20/0.55 % (25281)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (25281)Memory used [KB]: 895
% 0.20/0.55 % (25281)Time elapsed: 0.002 s
% 0.20/0.55 % (25281)Instructions burned: 2 (million)
% 0.20/0.55 % (25281)------------------------------
% 0.20/0.55 % (25281)------------------------------
% 0.20/0.55 % (25276)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)
% 0.20/0.55 % (25288)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (25293)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)
% 0.20/0.55 % (25298)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (25283)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (25280)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (25302)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)
% 0.20/0.55 % (25299)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)
% 0.20/0.56 % (25284)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)
% 0.20/0.56 % (25279)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)
% 0.20/0.56 % (25294)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (25300)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)
% 0.20/0.57 % (25274)Refutation not found, incomplete strategy% (25274)------------------------------
% 0.20/0.57 % (25274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (25280)Instruction limit reached!
% 0.20/0.57 % (25280)------------------------------
% 0.20/0.57 % (25280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (25280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (25280)Termination reason: Unknown
% 0.20/0.57 % (25280)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (25280)Memory used [KB]: 5500
% 0.20/0.57 % (25280)Time elapsed: 0.147 s
% 0.20/0.57 % (25280)Instructions burned: 7 (million)
% 0.20/0.57 % (25280)------------------------------
% 0.20/0.57 % (25280)------------------------------
% 0.20/0.57 % (25274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (25274)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (25274)Memory used [KB]: 5628
% 0.20/0.57 % (25274)Time elapsed: 0.145 s
% 0.20/0.57 % (25274)Instructions burned: 10 (million)
% 0.20/0.57 % (25274)------------------------------
% 0.20/0.57 % (25274)------------------------------
% 0.20/0.57 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.59 TRYING [3]
% 0.20/0.59 % (25290)Instruction limit reached!
% 0.20/0.59 % (25290)------------------------------
% 0.20/0.59 % (25290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (25290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (25290)Termination reason: Unknown
% 0.20/0.59 % (25290)Termination phase: Finite model building constraint generation
% 0.20/0.59
% 0.20/0.59 % (25290)Memory used [KB]: 7419
% 0.20/0.59 % (25290)Time elapsed: 0.153 s
% 0.20/0.59 % (25290)Instructions burned: 60 (million)
% 0.20/0.59 % (25290)------------------------------
% 0.20/0.59 % (25290)------------------------------
% 0.20/0.59 % (25282)Instruction limit reached!
% 0.20/0.59 % (25282)------------------------------
% 0.20/0.59 % (25282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (25282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (25282)Termination reason: Unknown
% 0.20/0.59 % (25282)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (25282)Memory used [KB]: 1535
% 0.20/0.59 % (25282)Time elapsed: 0.171 s
% 0.20/0.59 % (25282)Instructions burned: 51 (million)
% 0.20/0.59 % (25282)------------------------------
% 0.20/0.59 % (25282)------------------------------
% 0.20/0.60 TRYING [1]
% 0.20/0.60 TRYING [2]
% 0.20/0.61 TRYING [3]
% 0.20/0.62 % (25275)Instruction limit reached!
% 0.20/0.62 % (25275)------------------------------
% 0.20/0.62 % (25275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (25275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (25275)Termination reason: Unknown
% 0.20/0.62 % (25275)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (25275)Memory used [KB]: 1663
% 0.20/0.62 % (25275)Time elapsed: 0.215 s
% 0.20/0.62 % (25275)Instructions burned: 37 (million)
% 0.20/0.62 % (25275)------------------------------
% 0.20/0.62 % (25275)------------------------------
% 2.02/0.63 % (25279)Instruction limit reached!
% 2.02/0.63 % (25279)------------------------------
% 2.02/0.63 % (25279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63 % (25279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63 % (25279)Termination reason: Unknown
% 2.02/0.63 % (25279)Termination phase: Finite model building SAT solving
% 2.02/0.63
% 2.02/0.63 % (25279)Memory used [KB]: 7036
% 2.02/0.63 % (25279)Time elapsed: 0.166 s
% 2.02/0.63 % (25279)Instructions burned: 51 (million)
% 2.02/0.63 % (25279)------------------------------
% 2.02/0.63 % (25279)------------------------------
% 2.02/0.63 % (25277)Instruction limit reached!
% 2.02/0.63 % (25277)------------------------------
% 2.02/0.63 % (25277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63 % (25277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63 % (25277)Termination reason: Unknown
% 2.02/0.63 % (25277)Termination phase: Saturation
% 2.02/0.63
% 2.02/0.63 % (25277)Memory used [KB]: 6524
% 2.02/0.63 % (25277)Time elapsed: 0.228 s
% 2.02/0.63 % (25277)Instructions burned: 51 (million)
% 2.02/0.63 % (25277)------------------------------
% 2.02/0.63 % (25277)------------------------------
% 2.02/0.64 % (25276)Instruction limit reached!
% 2.02/0.64 % (25276)------------------------------
% 2.02/0.64 % (25276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (25276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (25276)Termination reason: Unknown
% 2.02/0.64 % (25276)Termination phase: Saturation
% 2.02/0.64
% 2.02/0.64 % (25276)Memory used [KB]: 6396
% 2.02/0.64 % (25276)Time elapsed: 0.214 s
% 2.02/0.64 % (25276)Instructions burned: 51 (million)
% 2.02/0.64 % (25276)------------------------------
% 2.02/0.64 % (25276)------------------------------
% 2.02/0.64 % (25283)Instruction limit reached!
% 2.02/0.64 % (25283)------------------------------
% 2.02/0.64 % (25283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (25283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (25283)Termination reason: Unknown
% 2.02/0.64 % (25283)Termination phase: Saturation
% 2.02/0.64
% 2.02/0.64 % (25283)Memory used [KB]: 6140
% 2.02/0.64 % (25283)Time elapsed: 0.225 s
% 2.02/0.64 % (25283)Instructions burned: 50 (million)
% 2.02/0.64 % (25283)------------------------------
% 2.02/0.64 % (25283)------------------------------
% 2.22/0.64 % (25278)Instruction limit reached!
% 2.22/0.64 % (25278)------------------------------
% 2.22/0.64 % (25278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.64 % (25278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.64 % (25278)Termination reason: Unknown
% 2.22/0.64 % (25278)Termination phase: Saturation
% 2.22/0.64
% 2.22/0.64 % (25278)Memory used [KB]: 6140
% 2.22/0.64 % (25278)Time elapsed: 0.224 s
% 2.22/0.64 % (25278)Instructions burned: 49 (million)
% 2.22/0.64 % (25278)------------------------------
% 2.22/0.64 % (25278)------------------------------
% 2.29/0.67 % (25287)Instruction limit reached!
% 2.29/0.67 % (25287)------------------------------
% 2.29/0.67 % (25287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.67 % (25287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.67 % (25287)Termination reason: Unknown
% 2.29/0.67 % (25287)Termination phase: Saturation
% 2.29/0.67
% 2.29/0.67 % (25287)Memory used [KB]: 6908
% 2.29/0.67 % (25287)Time elapsed: 0.040 s
% 2.29/0.67 % (25287)Instructions burned: 68 (million)
% 2.29/0.67 % (25287)------------------------------
% 2.29/0.67 % (25287)------------------------------
% 2.29/0.69 % (25299)Instruction limit reached!
% 2.29/0.69 % (25299)------------------------------
% 2.29/0.69 % (25299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.69 % (25299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.69 % (25299)Termination reason: Unknown
% 2.29/0.69 % (25299)Termination phase: Saturation
% 2.29/0.69
% 2.29/0.69 % (25299)Memory used [KB]: 6908
% 2.29/0.69 % (25299)Time elapsed: 0.041 s
% 2.29/0.69 % (25299)Instructions burned: 68 (million)
% 2.29/0.69 % (25299)------------------------------
% 2.29/0.69 % (25299)------------------------------
% 2.29/0.69 % (25305)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.29/0.70 % (25288)Instruction limit reached!
% 2.29/0.70 % (25288)------------------------------
% 2.29/0.70 % (25288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.70 % (25288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.70 % (25288)Termination reason: Unknown
% 2.29/0.70 % (25288)Termination phase: Saturation
% 2.29/0.70
% 2.29/0.70 % (25288)Memory used [KB]: 1918
% 2.29/0.70 % (25288)Time elapsed: 0.266 s
% 2.29/0.70 % (25288)Instructions burned: 76 (million)
% 2.29/0.70 % (25288)------------------------------
% 2.29/0.70 % (25288)------------------------------
% 2.29/0.70 % (25303)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)
% 2.57/0.72 TRYING [4]
% 2.57/0.72 % (25284)Instruction limit reached!
% 2.57/0.72 % (25284)------------------------------
% 2.57/0.72 % (25284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.72 % (25284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.72 % (25284)Termination reason: Unknown
% 2.57/0.72 % (25284)Termination phase: Saturation
% 2.57/0.72
% 2.57/0.72 % (25284)Memory used [KB]: 6780
% 2.57/0.72 % (25284)Time elapsed: 0.322 s
% 2.57/0.72 % (25284)Instructions burned: 101 (million)
% 2.57/0.72 % (25284)------------------------------
% 2.57/0.72 % (25284)------------------------------
% 2.57/0.73 % (25291)Instruction limit reached!
% 2.57/0.73 % (25291)------------------------------
% 2.57/0.73 % (25291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.73 % (25291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.73 % (25291)Termination reason: Unknown
% 2.57/0.73 % (25291)Termination phase: Saturation
% 2.57/0.73
% 2.57/0.73 % (25291)Memory used [KB]: 6652
% 2.57/0.73 % (25291)Time elapsed: 0.309 s
% 2.57/0.73 % (25291)Instructions burned: 100 (million)
% 2.57/0.73 % (25291)------------------------------
% 2.57/0.73 % (25291)------------------------------
% 2.57/0.73 % (25286)Instruction limit reached!
% 2.57/0.73 % (25286)------------------------------
% 2.57/0.73 % (25286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.73 % (25286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.73 % (25286)Termination reason: Unknown
% 2.57/0.73 % (25286)Termination phase: Saturation
% 2.57/0.73
% 2.57/0.73 % (25286)Memory used [KB]: 6524
% 2.57/0.73 % (25286)Time elapsed: 0.326 s
% 2.57/0.73 % (25286)Instructions burned: 100 (million)
% 2.57/0.73 % (25286)------------------------------
% 2.57/0.73 % (25286)------------------------------
% 2.57/0.74 % (25292)Instruction limit reached!
% 2.57/0.74 % (25292)------------------------------
% 2.57/0.74 % (25292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.74 % (25292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.74 % (25292)Termination reason: Unknown
% 2.57/0.74 % (25292)Termination phase: Saturation
% 2.57/0.74
% 2.57/0.74 % (25292)Memory used [KB]: 2558
% 2.57/0.74 % (25292)Time elapsed: 0.321 s
% 2.57/0.74 % (25292)Instructions burned: 101 (million)
% 2.57/0.74 % (25292)------------------------------
% 2.57/0.74 % (25292)------------------------------
% 2.57/0.74 % (25309)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.57/0.74 % (25289)Instruction limit reached!
% 2.57/0.74 % (25289)------------------------------
% 2.57/0.74 % (25289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.74 % (25289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.74 % (25289)Termination reason: Unknown
% 2.57/0.74 % (25289)Termination phase: Saturation
% 2.57/0.74
% 2.57/0.74 % (25289)Memory used [KB]: 6652
% 2.57/0.74 % (25289)Time elapsed: 0.337 s
% 2.57/0.74 % (25289)Instructions burned: 99 (million)
% 2.57/0.74 % (25289)------------------------------
% 2.57/0.74 % (25289)------------------------------
% 2.57/0.74 % (25285)Instruction limit reached!
% 2.57/0.74 % (25285)------------------------------
% 2.57/0.74 % (25285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.74 % (25304)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.57/0.75 % (25285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.75 % (25285)Termination reason: Unknown
% 2.57/0.75 % (25285)Termination phase: Saturation
% 2.57/0.75
% 2.57/0.75 % (25285)Memory used [KB]: 6652
% 2.57/0.75 % (25285)Time elapsed: 0.343 s
% 2.57/0.75 % (25285)Instructions burned: 102 (million)
% 2.57/0.75 % (25285)------------------------------
% 2.57/0.75 % (25285)------------------------------
% 2.86/0.76 % (25313)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.86/0.76 % (25310)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 (2997ds/68Mi)
% 2.86/0.76 % (25308)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.86/0.77 % (25306)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.86/0.77 % (25311)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.86/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.86/0.77 % (25312)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.86/0.78 % (25307)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.86/0.79 % (25314)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.86/0.82 % (25315)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.86/0.83 % (25316)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.18/0.84 % (25294)Instruction limit reached!
% 3.18/0.84 % (25294)------------------------------
% 3.18/0.84 % (25294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.84 % (25294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.84 % (25294)Termination reason: Unknown
% 3.18/0.84 % (25294)Termination phase: Saturation
% 3.18/0.84
% 3.18/0.84 % (25294)Memory used [KB]: 7675
% 3.18/0.84 % (25294)Time elapsed: 0.406 s
% 3.18/0.84 % (25294)Instructions burned: 138 (million)
% 3.18/0.84 % (25294)------------------------------
% 3.18/0.84 % (25294)------------------------------
% 3.18/0.85 % (25305)Instruction limit reached!
% 3.18/0.85 % (25305)------------------------------
% 3.18/0.85 % (25305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.85 % (25305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.85 % (25305)Termination reason: Unknown
% 3.18/0.85 % (25305)Termination phase: Saturation
% 3.18/0.85
% 3.18/0.85 % (25305)Memory used [KB]: 6780
% 3.18/0.85 % (25305)Time elapsed: 0.227 s
% 3.18/0.85 % (25305)Instructions burned: 90 (million)
% 3.18/0.85 % (25305)------------------------------
% 3.18/0.85 % (25305)------------------------------
% 3.18/0.86 % (25317)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.18/0.86 % (25319)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.18/0.86 % (25318)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.18/0.87 % (25320)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 (2996ds/68Mi)
% 3.18/0.88 % (25293)Instruction limit reached!
% 3.18/0.88 % (25293)------------------------------
% 3.18/0.88 % (25293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.88 % (25293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.88 % (25293)Termination reason: Unknown
% 3.18/0.88 % (25293)Termination phase: Saturation
% 3.18/0.88
% 3.18/0.88 % (25293)Memory used [KB]: 8571
% 3.18/0.88 % (25293)Time elapsed: 0.471 s
% 3.18/0.88 % (25293)Instructions burned: 176 (million)
% 3.18/0.88 % (25293)------------------------------
% 3.18/0.88 % (25293)------------------------------
% 3.18/0.88 % (25321)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.18/0.88 % (25322)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.34/0.89 % (25310)Instruction limit reached!
% 3.34/0.89 % (25310)------------------------------
% 3.34/0.89 % (25310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.89 % (25310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.89 % (25310)Termination reason: Unknown
% 3.34/0.89 % (25310)Termination phase: Saturation
% 3.34/0.89
% 3.34/0.89 % (25310)Memory used [KB]: 6780
% 3.34/0.89 % (25310)Time elapsed: 0.038 s
% 3.34/0.89 % (25310)Instructions burned: 68 (million)
% 3.34/0.89 % (25310)------------------------------
% 3.34/0.89 % (25310)------------------------------
% 3.34/0.89 % (25300)Instruction limit reached!
% 3.34/0.89 % (25300)------------------------------
% 3.34/0.89 % (25300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.89 % (25300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.89 % (25300)Termination reason: Unknown
% 3.34/0.89 % (25300)Termination phase: Saturation
% 3.34/0.89
% 3.34/0.89 % (25300)Memory used [KB]: 3837
% 3.34/0.89 % (25300)Time elapsed: 0.488 s
% 3.34/0.89 % (25300)Instructions burned: 178 (million)
% 3.34/0.89 % (25300)------------------------------
% 3.34/0.89 % (25300)------------------------------
% 3.34/0.92 % (25313)Instruction limit reached!
% 3.34/0.92 % (25313)------------------------------
% 3.34/0.92 % (25313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.92 % (25313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.92 % (25313)Termination reason: Unknown
% 3.34/0.92 % (25313)Termination phase: Saturation
% 3.34/0.92
% 3.34/0.92 % (25313)Memory used [KB]: 6396
% 3.34/0.92 % (25313)Time elapsed: 0.244 s
% 3.34/0.92 % (25313)Instructions burned: 90 (million)
% 3.34/0.92 % (25313)------------------------------
% 3.34/0.92 % (25313)------------------------------
% 3.62/0.97 % (25324)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.62/0.98 % (25323)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.62/0.99 % (25304)Instruction limit reached!
% 3.62/0.99 % (25304)------------------------------
% 3.62/0.99 % (25304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.62/0.99 % (25304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.62/0.99 % (25304)Termination reason: Unknown
% 3.62/0.99 % (25304)Termination phase: Saturation
% 3.62/0.99
% 3.62/0.99 % (25304)Memory used [KB]: 2814
% 3.62/0.99 % (25304)Time elapsed: 0.329 s
% 3.62/0.99 % (25304)Instructions burned: 211 (million)
% 3.62/0.99 % (25304)------------------------------
% 3.62/0.99 % (25304)------------------------------
% 3.62/1.00 % (25320)Instruction limit reached!
% 3.62/1.00 % (25320)------------------------------
% 3.62/1.00 % (25320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.62/1.00 % (25320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.62/1.00 % (25320)Termination reason: Unknown
% 3.62/1.00 % (25320)Termination phase: Saturation
% 3.62/1.00
% 3.62/1.00 % (25320)Memory used [KB]: 6780
% 3.62/1.00 % (25320)Time elapsed: 0.037 s
% 3.62/1.00 % (25320)Instructions burned: 70 (million)
% 3.62/1.00 % (25320)------------------------------
% 3.62/1.00 % (25320)------------------------------
% 3.86/1.01 % (25325)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.86/1.02 % (25298)First to succeed.
% 3.86/1.03 % (25298)Refutation found. Thanks to Tanya!
% 3.86/1.03 % SZS status Theorem for theBenchmark
% 3.86/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 3.86/1.03 % (25298)------------------------------
% 3.86/1.03 % (25298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.86/1.03 % (25298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.86/1.03 % (25298)Termination reason: Refutation
% 3.86/1.03
% 3.86/1.03 % (25298)Memory used [KB]: 8571
% 3.86/1.03 % (25298)Time elapsed: 0.617 s
% 3.86/1.03 % (25298)Instructions burned: 246 (million)
% 3.86/1.03 % (25298)------------------------------
% 3.86/1.03 % (25298)------------------------------
% 3.86/1.03 % (25272)Success in time 0.669 s
%------------------------------------------------------------------------------