TSTP Solution File: SET669+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET669+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 : n010.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 18:21:49 EDT 2022
% Result : Theorem 1.39s 0.54s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 99 ( 16 unt; 0 def)
% Number of atoms : 414 ( 34 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 508 ( 193 ~; 184 |; 72 &)
% ( 17 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 154 ( 133 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f971,plain,
$false,
inference(avatar_sat_refutation,[],[f199,f257,f400,f581,f970]) ).
fof(f970,plain,
spl15_12,
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| spl15_12 ),
inference(subsumption_resolution,[],[f961,f178]) ).
fof(f178,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32) ).
fof(f961,plain,
( ~ ilf_type(sK2,set_type)
| spl15_12 ),
inference(unit_resulting_resolution,[],[f870,f157]) ).
fof(f157,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,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',p21) ).
fof(f870,plain,
( empty(power_set(sK2))
| spl15_12 ),
inference(unit_resulting_resolution,[],[f178,f178,f456,f836,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,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(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/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f836,plain,
( ~ member(range_of(sK3),power_set(sK2))
| spl15_12 ),
inference(unit_resulting_resolution,[],[f178,f178,f429,f178,f431,f121]) ).
fof(f121,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ( member(sK0(X0,X1),X0)
& ilf_type(sK0(X0,X1),set_type)
& ~ member(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| member(X3,X1) )
| ~ member(X0,power_set(X1)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) )
=> ( member(sK0(X0,X1),X0)
& ilf_type(sK0(X0,X1),set_type)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| member(X3,X1) )
| ~ member(X0,power_set(X1)) ) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ member(X0,power_set(X1)) ) ) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f67]) ).
fof(f67,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,[],[f20]) ).
fof(f20,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',p20) ).
fof(f431,plain,
( member(sK8(range_of(sK3),sK2),range_of(sK3))
| spl15_12 ),
inference(subsumption_resolution,[],[f430,f178]) ).
fof(f430,plain,
( ~ ilf_type(sK2,set_type)
| member(sK8(range_of(sK3),sK2),range_of(sK3))
| spl15_12 ),
inference(subsumption_resolution,[],[f426,f178]) ).
fof(f426,plain,
( ~ ilf_type(range_of(sK3),set_type)
| ~ ilf_type(sK2,set_type)
| member(sK8(range_of(sK3),sK2),range_of(sK3))
| spl15_12 ),
inference(resolution,[],[f390,f153]) ).
fof(f153,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0)
& ilf_type(sK8(X0,X1),set_type) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f100,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) )
=> ( ~ member(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0)
& ilf_type(sK8(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(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(nnf_transformation,[],[f43]) ).
fof(f43,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(flattening,[],[f42]) ).
fof(f42,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,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
fof(f390,plain,
( ~ subset(range_of(sK3),sK2)
| spl15_12 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl15_12
<=> subset(range_of(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f429,plain,
( ~ member(sK8(range_of(sK3),sK2),sK2)
| spl15_12 ),
inference(subsumption_resolution,[],[f428,f178]) ).
fof(f428,plain,
( ~ ilf_type(range_of(sK3),set_type)
| ~ member(sK8(range_of(sK3),sK2),sK2)
| spl15_12 ),
inference(subsumption_resolution,[],[f427,f178]) ).
fof(f427,plain,
( ~ ilf_type(sK2,set_type)
| ~ ilf_type(range_of(sK3),set_type)
| ~ member(sK8(range_of(sK3),sK2),sK2)
| spl15_12 ),
inference(resolution,[],[f390,f154]) ).
fof(f154,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f456,plain,
ilf_type(range_of(sK3),member_type(power_set(sK2))),
inference(unit_resulting_resolution,[],[f178,f178,f259,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [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))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) ) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [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))) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,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',p16) ).
fof(f259,plain,
ilf_type(range_of(sK3),subset_type(sK2)),
inference(forward_demodulation,[],[f243,f244]) ).
fof(f244,plain,
range_of(sK3) = range(sK1,sK2,sK3),
inference(unit_resulting_resolution,[],[f178,f178,f129,f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
fof(f129,plain,
ilf_type(sK3,relation_type(sK1,sK2)),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ilf_type(sK1,set_type)
& ilf_type(sK3,relation_type(sK1,sK2))
& ( range(sK1,sK2,sK3) != sK2
| ~ subset(sK2,domain(sK1,sK2,sK3)) )
& subset(identity_relation_of(sK2),sK3)
& ilf_type(sK2,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f51,f83,f82,f81]) ).
fof(f81,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( range(X0,X1,X2) != X1
| ~ subset(X1,domain(X0,X1,X2)) )
& subset(identity_relation_of(X1),X2) )
& ilf_type(X1,set_type) ) )
=> ( ilf_type(sK1,set_type)
& ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(sK1,X1))
& ( range(sK1,X1,X2) != X1
| ~ subset(X1,domain(sK1,X1,X2)) )
& subset(identity_relation_of(X1),X2) )
& ilf_type(X1,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(sK1,X1))
& ( range(sK1,X1,X2) != X1
| ~ subset(X1,domain(sK1,X1,X2)) )
& subset(identity_relation_of(X1),X2) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ilf_type(X2,relation_type(sK1,sK2))
& ( sK2 != range(sK1,sK2,X2)
| ~ subset(sK2,domain(sK1,sK2,X2)) )
& subset(identity_relation_of(sK2),X2) )
& ilf_type(sK2,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X2] :
( ilf_type(X2,relation_type(sK1,sK2))
& ( sK2 != range(sK1,sK2,X2)
| ~ subset(sK2,domain(sK1,sK2,X2)) )
& subset(identity_relation_of(sK2),X2) )
=> ( ilf_type(sK3,relation_type(sK1,sK2))
& ( range(sK1,sK2,sK3) != sK2
| ~ subset(sK2,domain(sK1,sK2,sK3)) )
& subset(identity_relation_of(sK2),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( range(X0,X1,X2) != X1
| ~ subset(X1,domain(X0,X1,X2)) )
& subset(identity_relation_of(X1),X2) )
& ilf_type(X1,set_type) ) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ~ subset(X1,domain(X0,X1,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_32) ).
fof(f243,plain,
ilf_type(range(sK1,sK2,sK3),subset_type(sK2)),
inference(unit_resulting_resolution,[],[f178,f178,f129,f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,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',p31) ).
fof(f581,plain,
( ~ spl15_11
| spl15_2 ),
inference(avatar_split_clause,[],[f574,f196,f384]) ).
fof(f384,plain,
( spl15_11
<=> range_of(sK3) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f196,plain,
( spl15_2
<=> range(sK1,sK2,sK3) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f574,plain,
( range_of(sK3) != sK2
| spl15_2 ),
inference(superposition,[],[f198,f244]) ).
fof(f198,plain,
( range(sK1,sK2,sK3) != sK2
| spl15_2 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f400,plain,
( spl15_11
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f399,f388,f384]) ).
fof(f399,plain,
( ~ subset(range_of(sK3),sK2)
| range_of(sK3) = sK2 ),
inference(subsumption_resolution,[],[f398,f178]) ).
fof(f398,plain,
( ~ subset(range_of(sK3),sK2)
| ~ ilf_type(sK2,set_type)
| range_of(sK3) = sK2 ),
inference(subsumption_resolution,[],[f376,f178]) ).
fof(f376,plain,
( ~ ilf_type(range_of(sK3),set_type)
| range_of(sK3) = sK2
| ~ ilf_type(sK2,set_type)
| ~ subset(range_of(sK3),sK2) ),
inference(resolution,[],[f258,f146]) ).
fof(f146,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X0,set_type)
| X0 = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
fof(f258,plain,
subset(sK2,range_of(sK3)),
inference(forward_demodulation,[],[f241,f244]) ).
fof(f241,plain,
subset(sK2,range(sK1,sK2,sK3)),
inference(unit_resulting_resolution,[],[f178,f127,f178,f178,f129,f136]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(X2,range(X0,X1,X3)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ( subset(X2,range(X0,X1,X3))
& subset(X2,domain(X0,X1,X3)) )
| ~ subset(identity_relation_of(X2),X3) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( subset(X2,range(X0,X1,X3))
& subset(X2,domain(X0,X1,X3)) )
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,range(X0,X1,X3))
& subset(X2,domain(X0,X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f127,plain,
subset(identity_relation_of(sK2),sK3),
inference(cnf_transformation,[],[f84]) ).
fof(f257,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f255,f253]) ).
fof(f253,plain,
( ~ subset(sK2,domain_of(sK3))
| spl15_1 ),
inference(backward_demodulation,[],[f194,f242]) ).
fof(f242,plain,
domain(sK1,sK2,sK3) = domain_of(sK3),
inference(unit_resulting_resolution,[],[f178,f178,f129,f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f194,plain,
( ~ subset(sK2,domain(sK1,sK2,sK3))
| spl15_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl15_1
<=> subset(sK2,domain(sK1,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f255,plain,
subset(sK2,domain_of(sK3)),
inference(forward_demodulation,[],[f240,f242]) ).
fof(f240,plain,
subset(sK2,domain(sK1,sK2,sK3)),
inference(unit_resulting_resolution,[],[f178,f127,f178,f178,f129,f135]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| subset(X2,domain(X0,X1,X3))
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f199,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f128,f196,f192]) ).
fof(f128,plain,
( range(sK1,sK2,sK3) != sK2
| ~ subset(sK2,domain(sK1,sK2,sK3)) ),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET669+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:03:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (10953)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)
% 0.19/0.49 % (10953)Instruction limit reached!
% 0.19/0.49 % (10953)------------------------------
% 0.19/0.49 % (10953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (10945)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)
% 0.19/0.50 % (10953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (10953)Termination reason: Unknown
% 0.19/0.50 % (10953)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (10953)Memory used [KB]: 6012
% 0.19/0.50 % (10953)Time elapsed: 0.082 s
% 0.19/0.50 % (10953)Instructions burned: 7 (million)
% 0.19/0.50 % (10953)------------------------------
% 0.19/0.50 % (10953)------------------------------
% 0.19/0.51 % (10960)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)
% 0.19/0.52 % (10952)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)
% 0.19/0.52 % (10952)Instruction limit reached!
% 0.19/0.52 % (10952)------------------------------
% 0.19/0.52 % (10952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10952)Termination reason: Unknown
% 0.19/0.52 % (10952)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (10952)Memory used [KB]: 6012
% 0.19/0.52 % (10952)Time elapsed: 0.003 s
% 0.19/0.52 % (10952)Instructions burned: 4 (million)
% 0.19/0.52 % (10952)------------------------------
% 0.19/0.52 % (10952)------------------------------
% 0.19/0.52 % (10941)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 % (10940)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)
% 0.19/0.53 % (10940)Instruction limit reached!
% 0.19/0.53 % (10940)------------------------------
% 0.19/0.53 % (10940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10940)Termination reason: Unknown
% 0.19/0.53 % (10940)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (10940)Memory used [KB]: 1535
% 0.19/0.53 % (10940)Time elapsed: 0.003 s
% 0.19/0.53 % (10940)Instructions burned: 4 (million)
% 0.19/0.53 % (10940)------------------------------
% 0.19/0.53 % (10940)------------------------------
% 1.39/0.53 % (10967)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)
% 1.39/0.53 % (10942)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)
% 1.39/0.53 % (10939)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)
% 1.39/0.53 % (10965)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)
% 1.39/0.53 % (10943)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)
% 1.39/0.53 % (10944)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)
% 1.39/0.53 % (10964)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)
% 1.39/0.53 % (10945)First to succeed.
% 1.39/0.53 % (10939)Refutation not found, incomplete strategy% (10939)------------------------------
% 1.39/0.53 % (10939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53 % (10939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53 % (10939)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.53
% 1.39/0.53 % (10939)Memory used [KB]: 6140
% 1.39/0.53 % (10939)Time elapsed: 0.131 s
% 1.39/0.53 % (10939)Instructions burned: 7 (million)
% 1.39/0.53 % (10939)------------------------------
% 1.39/0.53 % (10939)------------------------------
% 1.39/0.53 % (10938)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.39/0.54 % (10943)Refutation not found, incomplete strategy% (10943)------------------------------
% 1.39/0.54 % (10943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (10943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (10943)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.54
% 1.39/0.54 % (10943)Memory used [KB]: 1663
% 1.39/0.54 % (10943)Time elapsed: 0.138 s
% 1.39/0.54 % (10943)Instructions burned: 11 (million)
% 1.39/0.54 % (10943)------------------------------
% 1.39/0.54 % (10943)------------------------------
% 1.39/0.54 % (10957)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)
% 1.39/0.54 % (10956)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)
% 1.39/0.54 % (10958)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)
% 1.39/0.54 % (10959)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)
% 1.39/0.54 % (10945)Refutation found. Thanks to Tanya!
% 1.39/0.54 % SZS status Theorem for theBenchmark
% 1.39/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.54 % (10945)------------------------------
% 1.39/0.54 % (10945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (10945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (10945)Termination reason: Refutation
% 1.39/0.54
% 1.39/0.54 % (10945)Memory used [KB]: 6524
% 1.39/0.54 % (10945)Time elapsed: 0.127 s
% 1.39/0.54 % (10945)Instructions burned: 32 (million)
% 1.39/0.54 % (10945)------------------------------
% 1.39/0.54 % (10945)------------------------------
% 1.39/0.54 % (10937)Success in time 0.19 s
%------------------------------------------------------------------------------