TSTP Solution File: SET647+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET647+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_uns --cores 0 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:21:44 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 80 ( 13 unt; 0 def)
% Number of atoms : 333 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 411 ( 158 ~; 143 |; 57 &)
% ( 13 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 131 ( 117 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f369,plain,
$false,
inference(avatar_sat_refutation,[],[f281,f358,f368]) ).
fof(f368,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f359,f150]) ).
fof(f150,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f359,plain,
( ~ ilf_type(cross_product(sK1,range_of(sK2)),set_type)
| ~ spl14_2 ),
inference(unit_resulting_resolution,[],[f280,f124]) ).
fof(f124,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
fof(f280,plain,
( empty(power_set(cross_product(sK1,range_of(sK2))))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl14_2
<=> empty(power_set(cross_product(sK1,range_of(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f358,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f345,f314]) ).
fof(f314,plain,
( ~ member(sK4(sK2,cross_product(sK1,range_of(sK2))),cross_product(sK1,range_of(sK2)))
| spl14_1 ),
inference(unit_resulting_resolution,[],[f150,f150,f276,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ( member(sK4(X0,X1),X0)
& ilf_type(sK4(X0,X1),set_type)
& ~ member(sK4(X0,X1),X1) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f73,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ilf_type(X3,set_type)
& ~ member(X3,X1) )
=> ( member(sK4(X0,X1),X0)
& ilf_type(sK4(X0,X1),set_type)
& ~ member(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X3] :
( member(X3,X0)
& ilf_type(X3,set_type)
& ~ member(X3,X1) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
<=> member(X0,power_set(X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,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) ) )
<=> member(X0,power_set(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f276,plain,
( ~ member(sK2,power_set(cross_product(sK1,range_of(sK2))))
| spl14_1 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl14_1
<=> member(sK2,power_set(cross_product(sK1,range_of(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f345,plain,
( member(sK4(sK2,cross_product(sK1,range_of(sK2))),cross_product(sK1,range_of(sK2)))
| spl14_1 ),
inference(unit_resulting_resolution,[],[f233,f150,f150,f150,f316,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ilf_type(sK5(X0,X1),set_type)
& member(sK5(X0,X1),X0)
& ~ member(sK5(X0,X1),X1) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X3] :
( ilf_type(X3,set_type)
& member(X3,X0)
& ~ member(X3,X1) )
=> ( ilf_type(sK5(X0,X1),set_type)
& member(sK5(X0,X1),X0)
& ~ member(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ilf_type(X3,set_type)
& member(X3,X0)
& ~ member(X3,X1) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f55]) ).
fof(f55,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,[],[f12]) ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f316,plain,
( member(sK4(sK2,cross_product(sK1,range_of(sK2))),sK2)
| spl14_1 ),
inference(unit_resulting_resolution,[],[f150,f150,f276,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| member(sK4(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f233,plain,
subset(sK2,cross_product(sK1,range_of(sK2))),
inference(unit_resulting_resolution,[],[f150,f160,f150,f150,f186,f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f186,plain,
! [X0] : subset(cross_product(domain_of(sK2),X0),cross_product(sK1,X0)),
inference(unit_resulting_resolution,[],[f150,f150,f150,f112,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| subset(cross_product(X0,X2),cross_product(X1,X2))
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ( subset(cross_product(X2,X0),cross_product(X2,X1))
& subset(cross_product(X0,X2),cross_product(X1,X2)) )
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(cross_product(X2,X0),cross_product(X2,X1))
& subset(cross_product(X0,X2),cross_product(X1,X2)) )
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_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,set_type)
=> ( subset(X0,X1)
=> ( subset(cross_product(X2,X0),cross_product(X2,X1))
& subset(cross_product(X0,X2),cross_product(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f112,plain,
subset(domain_of(sK2),sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ilf_type(sK1,set_type)
& subset(domain_of(sK2),sK1)
& ~ ilf_type(sK2,relation_type(sK1,range_of(sK2)))
& ilf_type(sK2,binary_relation_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f53,f68,f67]) ).
fof(f67,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( subset(domain_of(X1),X0)
& ~ ilf_type(X1,relation_type(X0,range_of(X1)))
& ilf_type(X1,binary_relation_type) ) )
=> ( ilf_type(sK1,set_type)
& ? [X1] :
( subset(domain_of(X1),sK1)
& ~ ilf_type(X1,relation_type(sK1,range_of(X1)))
& ilf_type(X1,binary_relation_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X1] :
( subset(domain_of(X1),sK1)
& ~ ilf_type(X1,relation_type(sK1,range_of(X1)))
& ilf_type(X1,binary_relation_type) )
=> ( subset(domain_of(sK2),sK1)
& ~ ilf_type(sK2,relation_type(sK1,range_of(sK2)))
& ilf_type(sK2,binary_relation_type) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( subset(domain_of(X1),X0)
& ~ ilf_type(X1,relation_type(X0,range_of(X1)))
& ilf_type(X1,binary_relation_type) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0] :
( ? [X1] :
( ~ ilf_type(X1,relation_type(X0,range_of(X1)))
& subset(domain_of(X1),X0)
& ilf_type(X1,binary_relation_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_9) ).
fof(f160,plain,
subset(sK2,cross_product(domain_of(sK2),range_of(sK2))),
inference(unit_resulting_resolution,[],[f110,f125]) ).
fof(f125,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f110,plain,
ilf_type(sK2,binary_relation_type),
inference(cnf_transformation,[],[f69]) ).
fof(f281,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f272,f278,f274]) ).
fof(f272,plain,
( empty(power_set(cross_product(sK1,range_of(sK2))))
| ~ member(sK2,power_set(cross_product(sK1,range_of(sK2)))) ),
inference(subsumption_resolution,[],[f271,f150]) ).
fof(f271,plain,
( ~ ilf_type(power_set(cross_product(sK1,range_of(sK2))),set_type)
| ~ member(sK2,power_set(cross_product(sK1,range_of(sK2))))
| empty(power_set(cross_product(sK1,range_of(sK2)))) ),
inference(subsumption_resolution,[],[f270,f150]) ).
fof(f270,plain,
( ~ ilf_type(sK2,set_type)
| ~ member(sK2,power_set(cross_product(sK1,range_of(sK2))))
| ~ ilf_type(power_set(cross_product(sK1,range_of(sK2))),set_type)
| empty(power_set(cross_product(sK1,range_of(sK2)))) ),
inference(resolution,[],[f222,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1))
| empty(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f222,plain,
~ ilf_type(sK2,member_type(power_set(cross_product(sK1,range_of(sK2))))),
inference(subsumption_resolution,[],[f221,f150]) ).
fof(f221,plain,
( ~ ilf_type(cross_product(sK1,range_of(sK2)),set_type)
| ~ ilf_type(sK2,member_type(power_set(cross_product(sK1,range_of(sK2))))) ),
inference(subsumption_resolution,[],[f220,f150]) ).
fof(f220,plain,
( ~ ilf_type(sK2,set_type)
| ~ ilf_type(cross_product(sK1,range_of(sK2)),set_type)
| ~ ilf_type(sK2,member_type(power_set(cross_product(sK1,range_of(sK2))))) ),
inference(resolution,[],[f195,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,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,[],[f38]) ).
fof(f38,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,[],[f15]) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f195,plain,
~ ilf_type(sK2,subset_type(cross_product(sK1,range_of(sK2)))),
inference(unit_resulting_resolution,[],[f150,f150,f111,f157]) ).
fof(f157,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( ! [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)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,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,[],[f4]) ).
fof(f4,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/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f111,plain,
~ ilf_type(sK2,relation_type(sK1,range_of(sK2))),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:11:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (8883)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.49 % (8869)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49 % (8868)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (8876)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (8883)Refutation not found, incomplete strategy% (8883)------------------------------
% 0.19/0.50 % (8883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8883)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (8883)Memory used [KB]: 6012
% 0.19/0.50 % (8883)Time elapsed: 0.102 s
% 0.19/0.50 % (8883)Instructions burned: 2 (million)
% 0.19/0.50 % (8883)------------------------------
% 0.19/0.50 % (8883)------------------------------
% 0.19/0.50 % (8876)Refutation not found, incomplete strategy% (8876)------------------------------
% 0.19/0.50 % (8876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8876)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (8876)Memory used [KB]: 1535
% 0.19/0.50 % (8876)Time elapsed: 0.106 s
% 0.19/0.50 % (8876)Instructions burned: 4 (million)
% 0.19/0.50 % (8876)------------------------------
% 0.19/0.50 % (8876)------------------------------
% 0.19/0.50 % (8872)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (8869)Instruction limit reached!
% 0.19/0.50 % (8869)------------------------------
% 0.19/0.50 % (8869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8869)Termination reason: Unknown
% 0.19/0.50 % (8869)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (8869)Memory used [KB]: 1663
% 0.19/0.50 % (8869)Time elapsed: 0.099 s
% 0.19/0.50 % (8869)Instructions burned: 15 (million)
% 0.19/0.50 % (8869)------------------------------
% 0.19/0.50 % (8869)------------------------------
% 0.19/0.50 % (8875)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (8873)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (8892)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51 % (8878)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (8878)Instruction limit reached!
% 0.19/0.51 % (8878)------------------------------
% 0.19/0.51 % (8878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8878)Termination reason: Unknown
% 0.19/0.51 % (8878)Termination phase: shuffling
% 0.19/0.51
% 0.19/0.51 % (8878)Memory used [KB]: 1535
% 0.19/0.51 % (8878)Time elapsed: 0.002 s
% 0.19/0.51 % (8878)Instructions burned: 3 (million)
% 0.19/0.51 % (8878)------------------------------
% 0.19/0.51 % (8878)------------------------------
% 0.19/0.51 % (8868)Instruction limit reached!
% 0.19/0.51 % (8868)------------------------------
% 0.19/0.51 % (8868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8871)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (8885)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (8874)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (8866)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (8871)First to succeed.
% 0.19/0.52 % (8866)Refutation not found, incomplete strategy% (8866)------------------------------
% 0.19/0.52 % (8866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8866)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8866)Memory used [KB]: 6012
% 0.19/0.52 % (8866)Time elapsed: 0.126 s
% 0.19/0.52 % (8866)Instructions burned: 2 (million)
% 0.19/0.52 % (8866)------------------------------
% 0.19/0.52 % (8866)------------------------------
% 0.19/0.52 % (8887)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (8865)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (8868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8868)Termination reason: Unknown
% 0.19/0.52 % (8868)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (8868)Memory used [KB]: 6140
% 0.19/0.52 % (8868)Time elapsed: 0.104 s
% 0.19/0.52 % (8868)Instructions burned: 13 (million)
% 0.19/0.52 % (8868)------------------------------
% 0.19/0.52 % (8868)------------------------------
% 0.19/0.52 % (8887)Refutation not found, incomplete strategy% (8887)------------------------------
% 0.19/0.52 % (8887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8887)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8887)Memory used [KB]: 1535
% 0.19/0.52 % (8887)Time elapsed: 0.091 s
% 0.19/0.52 % (8887)Instructions burned: 3 (million)
% 0.19/0.52 % (8887)------------------------------
% 0.19/0.52 % (8887)------------------------------
% 0.19/0.52 % (8867)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (8865)Refutation not found, incomplete strategy% (8865)------------------------------
% 0.19/0.52 % (8865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8865)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8865)Memory used [KB]: 6012
% 0.19/0.52 % (8865)Time elapsed: 0.126 s
% 0.19/0.52 % (8865)Instructions burned: 3 (million)
% 0.19/0.52 % (8865)------------------------------
% 0.19/0.52 % (8865)------------------------------
% 0.19/0.52 % (8892)Refutation not found, incomplete strategy% (8892)------------------------------
% 0.19/0.52 % (8892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8892)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8892)Memory used [KB]: 6012
% 0.19/0.52 % (8892)Time elapsed: 0.133 s
% 0.19/0.52 % (8892)Instructions burned: 5 (million)
% 0.19/0.52 % (8892)------------------------------
% 0.19/0.52 % (8892)------------------------------
% 0.19/0.52 % (8879)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (8875)Instruction limit reached!
% 0.19/0.53 % (8875)------------------------------
% 0.19/0.53 % (8875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8875)Termination reason: Unknown
% 0.19/0.53 % (8875)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (8875)Memory used [KB]: 6012
% 0.19/0.53 % (8875)Time elapsed: 0.107 s
% 0.19/0.53 % (8875)Instructions burned: 7 (million)
% 0.19/0.53 % (8875)------------------------------
% 0.19/0.53 % (8875)------------------------------
% 0.19/0.53 % (8864)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (8886)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (8881)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (8870)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (8888)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (8881)Instruction limit reached!
% 0.19/0.53 % (8881)------------------------------
% 0.19/0.53 % (8881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8881)Termination reason: Unknown
% 0.19/0.53 % (8881)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (8881)Memory used [KB]: 1535
% 0.19/0.53 % (8881)Time elapsed: 0.003 s
% 0.19/0.53 % (8881)Instructions burned: 4 (million)
% 0.19/0.53 % (8881)------------------------------
% 0.19/0.53 % (8881)------------------------------
% 0.19/0.53 % (8884)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53 % (8890)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (8889)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54 % (8880)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (8882)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (8893)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54 % (8891)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54 % (8882)Instruction limit reached!
% 0.19/0.54 % (8882)------------------------------
% 0.19/0.54 % (8882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8877)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (8879)Instruction limit reached!
% 0.19/0.54 % (8879)------------------------------
% 0.19/0.54 % (8879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8871)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (8871)------------------------------
% 0.19/0.55 % (8871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8871)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (8871)Memory used [KB]: 6140
% 0.19/0.55 % (8871)Time elapsed: 0.121 s
% 0.19/0.55 % (8871)Instructions burned: 10 (million)
% 0.19/0.55 % (8871)------------------------------
% 0.19/0.55 % (8871)------------------------------
% 0.19/0.55 % (8863)Success in time 0.193 s
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