TSTP Solution File: SET668+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET668+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 : n015.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 18:21:48 EDT 2022
% Result : Theorem 0.21s 0.60s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 80 ( 14 unt; 0 def)
% Number of atoms : 363 ( 26 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 452 ( 169 ~; 157 |; 72 &)
% ( 15 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 145 ( 124 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f292,plain,
$false,
inference(avatar_sat_refutation,[],[f201,f209,f291]) ).
fof(f291,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f285,f184]) ).
fof(f184,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(f285,plain,
( ~ ilf_type(sK11,set_type)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f283,f139]) ).
fof(f139,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ~ empty(power_set(X0))
& ilf_type(power_set(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/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f283,plain,
( empty(power_set(sK11))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f184,f184,f218,f261,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type)
| member(X0,X1)
| ~ ilf_type(X0,set_type) ),
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(f261,plain,
( ~ member(domain_of(sK12),power_set(sK11))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f184,f184,f257,f184,f256,f140]) ).
fof(f140,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ( ilf_type(sK3(X0,X1),set_type)
& ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ member(X0,power_set(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) )
=> ( ilf_type(sK3(X0,X1),set_type)
& ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( 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(X0,set_type) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( 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(X0,set_type) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f36]) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f256,plain,
( member(sK13(domain_of(sK12),sK11),domain_of(sK12))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f184,f184,f251,f168]) ).
fof(f168,plain,
! [X0,X1] :
( member(sK13(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK13(X0,X1),X1)
& member(sK13(X0,X1),X0)
& ilf_type(sK13(X0,X1),set_type) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) )
=> ( ~ member(sK13(X0,X1),X1)
& member(sK13(X0,X1),X0)
& ilf_type(sK13(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f110,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,[],[f109]) ).
fof(f109,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,[],[f69]) ).
fof(f69,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,[],[f68]) ).
fof(f68,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,[],[f7]) ).
fof(f7,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',p7) ).
fof(f251,plain,
( ~ subset(domain_of(sK12),sK11)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f184,f210,f184,f224,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
fof(f224,plain,
( sK11 != domain_of(sK12)
| spl15_1 ),
inference(superposition,[],[f196,f205]) ).
fof(f205,plain,
domain(sK11,sK10,sK12) = domain_of(sK12),
inference(unit_resulting_resolution,[],[f184,f184,f162,f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,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(f162,plain,
ilf_type(sK12,relation_type(sK11,sK10)),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ilf_type(sK11,set_type)
& ilf_type(sK12,relation_type(sK11,sK10))
& subset(identity_relation_of(sK11),sK12)
& ( domain(sK11,sK10,sK12) != sK11
| ~ subset(sK11,range(sK11,sK10,sK12)) )
& ilf_type(sK10,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f54,f107,f106,f105]) ).
fof(f105,plain,
( ? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& subset(identity_relation_of(X1),X2)
& ( domain(X1,X0,X2) != X1
| ~ subset(X1,range(X1,X0,X2)) ) ) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X1,sK10))
& subset(identity_relation_of(X1),X2)
& ( domain(X1,sK10,X2) != X1
| ~ subset(X1,range(X1,sK10,X2)) ) ) )
& ilf_type(sK10,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X1,sK10))
& subset(identity_relation_of(X1),X2)
& ( domain(X1,sK10,X2) != X1
| ~ subset(X1,range(X1,sK10,X2)) ) ) )
=> ( ilf_type(sK11,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(sK11,sK10))
& subset(identity_relation_of(sK11),X2)
& ( domain(sK11,sK10,X2) != sK11
| ~ subset(sK11,range(sK11,sK10,X2)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X2] :
( ilf_type(X2,relation_type(sK11,sK10))
& subset(identity_relation_of(sK11),X2)
& ( domain(sK11,sK10,X2) != sK11
| ~ subset(sK11,range(sK11,sK10,X2)) ) )
=> ( ilf_type(sK12,relation_type(sK11,sK10))
& subset(identity_relation_of(sK11),sK12)
& ( domain(sK11,sK10,sK12) != sK11
| ~ subset(sK11,range(sK11,sK10,sK12)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& subset(identity_relation_of(X1),X2)
& ( domain(X1,X0,X2) != X1
| ~ subset(X1,range(X1,X0,X2)) ) ) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X1,X0,X2) != X1
| ~ subset(X1,range(X1,X0,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(X1,X0)) )
& 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(X1,X0))
=> ( subset(identity_relation_of(X1),X2)
=> ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 ) ) ) ) ),
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(X1,X0))
=> ( subset(identity_relation_of(X1),X2)
=> ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_31) ).
fof(f196,plain,
( domain(sK11,sK10,sK12) != sK11
| spl15_1 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl15_1
<=> domain(sK11,sK10,sK12) = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f210,plain,
subset(sK11,domain_of(sK12)),
inference(forward_demodulation,[],[f207,f205]) ).
fof(f207,plain,
subset(sK11,domain(sK11,sK10,sK12)),
inference(unit_resulting_resolution,[],[f184,f184,f161,f184,f162,f171]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [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(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f56]) ).
fof(f56,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(f161,plain,
subset(identity_relation_of(sK11),sK12),
inference(cnf_transformation,[],[f108]) ).
fof(f257,plain,
( ~ member(sK13(domain_of(sK12),sK11),sK11)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f184,f184,f251,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f112]) ).
fof(f218,plain,
ilf_type(domain_of(sK12),member_type(power_set(sK11))),
inference(unit_resulting_resolution,[],[f184,f184,f211,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,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,[],[f47]) ).
fof(f47,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(f211,plain,
ilf_type(domain_of(sK12),subset_type(sK11)),
inference(forward_demodulation,[],[f203,f205]) ).
fof(f203,plain,
ilf_type(domain(sK11,sK10,sK12),subset_type(sK11)),
inference(unit_resulting_resolution,[],[f184,f184,f162,f125]) ).
fof(f125,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))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,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',p29) ).
fof(f209,plain,
spl15_2,
inference(avatar_split_clause,[],[f208,f198]) ).
fof(f198,plain,
( spl15_2
<=> subset(sK11,range(sK11,sK10,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f208,plain,
subset(sK11,range(sK11,sK10,sK12)),
inference(unit_resulting_resolution,[],[f184,f184,f184,f161,f162,f172]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f57]) ).
fof(f201,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f160,f198,f194]) ).
fof(f160,plain,
( ~ subset(sK11,range(sK11,sK10,sK12))
| domain(sK11,sK10,sK12) != sK11 ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET668+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
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 14:22:36 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.54 % (25407)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)
% 0.21/0.55 % (25408)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)
% 0.21/0.55 % (25408)Instruction limit reached!
% 0.21/0.55 % (25408)------------------------------
% 0.21/0.55 % (25408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (25408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (25408)Termination reason: Unknown
% 0.21/0.55 % (25408)Termination phase: Property scanning
% 0.21/0.55
% 0.21/0.55 % (25408)Memory used [KB]: 1535
% 0.21/0.55 % (25408)Time elapsed: 0.003 s
% 0.21/0.55 % (25408)Instructions burned: 3 (million)
% 0.21/0.55 % (25408)------------------------------
% 0.21/0.55 % (25408)------------------------------
% 0.21/0.56 % (25411)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)
% 0.21/0.56 % (25415)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)
% 0.21/0.56 % (25407)Refutation not found, incomplete strategy% (25407)------------------------------
% 0.21/0.56 % (25407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (25420)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)
% 0.21/0.56 % (25407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (25407)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (25407)Memory used [KB]: 6140
% 0.21/0.56 % (25407)Time elapsed: 0.141 s
% 0.21/0.56 % (25407)Instructions burned: 6 (million)
% 0.21/0.56 % (25407)------------------------------
% 0.21/0.56 % (25407)------------------------------
% 0.21/0.57 % (25416)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)
% 0.21/0.57 % (25420)Instruction limit reached!
% 0.21/0.57 % (25420)------------------------------
% 0.21/0.57 % (25420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (25420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (25420)Termination reason: Unknown
% 0.21/0.57 % (25420)Termination phase: Property scanning
% 0.21/0.57
% 0.21/0.57 % (25420)Memory used [KB]: 1535
% 0.21/0.57 % (25420)Time elapsed: 0.003 s
% 0.21/0.57 % (25420)Instructions burned: 3 (million)
% 0.21/0.57 % (25420)------------------------------
% 0.21/0.57 % (25420)------------------------------
% 0.21/0.57 % (25433)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)
% 0.21/0.57 % (25416)Refutation not found, incomplete strategy% (25416)------------------------------
% 0.21/0.57 % (25416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (25416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (25416)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (25416)Memory used [KB]: 6140
% 0.21/0.57 % (25416)Time elapsed: 0.142 s
% 0.21/0.57 % (25416)Instructions burned: 7 (million)
% 0.21/0.57 % (25416)------------------------------
% 0.21/0.57 % (25416)------------------------------
% 0.21/0.57 % (25409)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)
% 0.21/0.58 % (25430)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)
% 0.21/0.58 % (25434)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)
% 0.21/0.58 % (25417)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)
% 0.21/0.58 % (25434)Instruction limit reached!
% 0.21/0.58 % (25434)------------------------------
% 0.21/0.58 % (25434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (25434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (25434)Termination reason: Unknown
% 0.21/0.58 % (25434)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (25434)Memory used [KB]: 6140
% 0.21/0.58 % (25434)Time elapsed: 0.152 s
% 0.21/0.58 % (25434)Instructions burned: 8 (million)
% 0.21/0.58 % (25434)------------------------------
% 0.21/0.58 % (25434)------------------------------
% 0.21/0.58 % (25410)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)
% 0.21/0.58 % (25411)Refutation not found, incomplete strategy% (25411)------------------------------
% 0.21/0.58 % (25411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (25411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (25411)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.58
% 0.21/0.58 % (25411)Memory used [KB]: 1663
% 0.21/0.58 % (25411)Time elapsed: 0.175 s
% 0.21/0.58 % (25411)Instructions burned: 11 (million)
% 0.21/0.58 % (25411)------------------------------
% 0.21/0.58 % (25411)------------------------------
% 0.21/0.59 % (25427)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)
% 0.21/0.59 % (25413)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)
% 0.21/0.59 % (25429)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)
% 0.21/0.59 % (25415)First to succeed.
% 0.21/0.59 % (25412)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)
% 0.21/0.59 % (25425)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)
% 0.21/0.59 % (25426)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)
% 0.21/0.59 % (25431)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)
% 0.21/0.60 % (25435)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)
% 0.21/0.60 % (25406)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.60 % (25415)Refutation found. Thanks to Tanya!
% 0.21/0.60 % SZS status Theorem for theBenchmark
% 0.21/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60 % (25415)------------------------------
% 0.21/0.60 % (25415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (25415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (25415)Termination reason: Refutation
% 0.21/0.60
% 0.21/0.60 % (25415)Memory used [KB]: 6268
% 0.21/0.60 % (25415)Time elapsed: 0.177 s
% 0.21/0.60 % (25415)Instructions burned: 12 (million)
% 0.21/0.60 % (25415)------------------------------
% 0.21/0.60 % (25415)------------------------------
% 0.21/0.60 % (25405)Success in time 0.241 s
%------------------------------------------------------------------------------