TSTP Solution File: SET661+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET661+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 : n009.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 18:25:16 EDT 2022
% Result : Theorem 4.12s 1.03s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 28
% Syntax : Number of formulae : 203 ( 35 unt; 0 def)
% Number of atoms : 704 ( 75 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 869 ( 368 ~; 361 |; 73 &)
% ( 13 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-3 aty)
% Number of variables : 337 ( 312 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2527,plain,
$false,
inference(subsumption_resolution,[],[f2526,f1727]) ).
fof(f1727,plain,
subset(sF18,sF20),
inference(duplicate_literal_removal,[],[f1724]) ).
fof(f1724,plain,
( subset(sF18,sF20)
| subset(sF18,sF20) ),
inference(resolution,[],[f1712,f285]) ).
fof(f285,plain,
! [X0,X1] :
( member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f284,f152]) ).
fof(f152,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37) ).
fof(f284,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| member(sK7(X0,X1),X0) ),
inference(subsumption_resolution,[],[f189,f152]) ).
fof(f189,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| subset(X0,X1)
| member(sK7(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ( ilf_type(sK7(X0,X1),set_type)
& ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f116,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) )
=> ( ilf_type(sK7(X0,X1),set_type)
& ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,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) )
| ~ subset(X0,X1) ) ) ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,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) )
| ~ subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) ) ) ) ),
inference(flattening,[],[f41]) ).
fof(f41,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,[],[f21]) ).
fof(f21,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',p21) ).
fof(f1712,plain,
! [X4] :
( ~ member(sK7(X4,sF20),sF18)
| subset(X4,sF20) ),
inference(resolution,[],[f1685,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f234,f152]) ).
fof(f234,plain,
! [X0,X1] :
( ~ member(sK7(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f190,f152]) ).
fof(f190,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(X0,X1)
| ~ member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f1685,plain,
! [X0] :
( member(X0,sF20)
| ~ member(X0,sF18) ),
inference(forward_demodulation,[],[f1684,f674]) ).
fof(f674,plain,
range_of(sK4) = sF18,
inference(forward_demodulation,[],[f672,f222]) ).
fof(f222,plain,
range(sK2,sK3,sK4) = sF18,
introduced(function_definition,[]) ).
fof(f672,plain,
range(sK2,sK3,sK4) = range_of(sK4),
inference(resolution,[],[f407,f221]) ).
fof(f221,plain,
ilf_type(sK4,sF17),
inference(definition_folding,[],[f158,f220]) ).
fof(f220,plain,
relation_type(sK2,sK3) = sF17,
introduced(function_definition,[]) ).
fof(f158,plain,
ilf_type(sK4,relation_type(sK2,sK3)),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ilf_type(sK4,relation_type(sK2,sK3))
& ( range(sK2,sK3,sK4) != domain(sK3,sK2,inverse3(sK2,sK3,sK4))
| domain(sK2,sK3,sK4) != range(sK3,sK2,inverse3(sK2,sK3,sK4)) )
& ilf_type(sK3,set_type)
& ilf_type(sK2,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f84,f99,f98,f97]) ).
fof(f97,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( range(X0,X1,X2) != domain(X1,X0,inverse3(X0,X1,X2))
| domain(X0,X1,X2) != range(X1,X0,inverse3(X0,X1,X2)) ) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(sK2,X1))
& ( range(sK2,X1,X2) != domain(X1,sK2,inverse3(sK2,X1,X2))
| domain(sK2,X1,X2) != range(X1,sK2,inverse3(sK2,X1,X2)) ) )
& ilf_type(X1,set_type) )
& ilf_type(sK2,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(sK2,X1))
& ( range(sK2,X1,X2) != domain(X1,sK2,inverse3(sK2,X1,X2))
| domain(sK2,X1,X2) != range(X1,sK2,inverse3(sK2,X1,X2)) ) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ilf_type(X2,relation_type(sK2,sK3))
& ( range(sK2,sK3,X2) != domain(sK3,sK2,inverse3(sK2,sK3,X2))
| range(sK3,sK2,inverse3(sK2,sK3,X2)) != domain(sK2,sK3,X2) ) )
& ilf_type(sK3,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X2] :
( ilf_type(X2,relation_type(sK2,sK3))
& ( range(sK2,sK3,X2) != domain(sK3,sK2,inverse3(sK2,sK3,X2))
| range(sK3,sK2,inverse3(sK2,sK3,X2)) != domain(sK2,sK3,X2) ) )
=> ( ilf_type(sK4,relation_type(sK2,sK3))
& ( range(sK2,sK3,sK4) != domain(sK3,sK2,inverse3(sK2,sK3,sK4))
| domain(sK2,sK3,sK4) != range(sK3,sK2,inverse3(sK2,sK3,sK4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( range(X0,X1,X2) != domain(X1,X0,inverse3(X0,X1,X2))
| domain(X0,X1,X2) != range(X1,X0,inverse3(X0,X1,X2)) ) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( range(X0,X1,X2) = domain(X1,X0,inverse3(X0,X1,X2))
& domain(X0,X1,X2) = range(X1,X0,inverse3(X0,X1,X2)) ) ) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( range(X0,X1,X2) = domain(X1,X0,inverse3(X0,X1,X2))
& domain(X0,X1,X2) = range(X1,X0,inverse3(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_24) ).
fof(f407,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| range_of(X0) = range(sK2,sK3,X0) ),
inference(subsumption_resolution,[],[f406,f152]) ).
fof(f406,plain,
! [X0] :
( range_of(X0) = range(sK2,sK3,X0)
| ~ ilf_type(sK3,set_type)
| ~ ilf_type(X0,sF17) ),
inference(subsumption_resolution,[],[f403,f152]) ).
fof(f403,plain,
! [X0] :
( ~ ilf_type(sK2,set_type)
| ~ ilf_type(X0,sF17)
| ~ ilf_type(sK3,set_type)
| range_of(X0) = range(sK2,sK3,X0) ),
inference(superposition,[],[f167,f220]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| range_of(X2) = range(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f1684,plain,
! [X0] :
( ~ member(X0,range_of(sK4))
| member(X0,sF20) ),
inference(forward_demodulation,[],[f1683,f735]) ).
fof(f735,plain,
domain_of(sF19) = sF20,
inference(forward_demodulation,[],[f727,f224]) ).
fof(f224,plain,
domain(sK3,sK2,sF19) = sF20,
introduced(function_definition,[]) ).
fof(f727,plain,
domain(sK3,sK2,sF19) = domain_of(sF19),
inference(resolution,[],[f721,f251]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(subsumption_resolution,[],[f250,f152]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| domain_of(X2) = domain(X0,X1,X2) ),
inference(subsumption_resolution,[],[f200,f152]) ).
fof(f200,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,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ 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))
=> domain_of(X2) = domain(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).
fof(f721,plain,
ilf_type(sF19,relation_type(sK3,sK2)),
inference(forward_demodulation,[],[f719,f223]) ).
fof(f223,plain,
inverse3(sK2,sK3,sK4) = sF19,
introduced(function_definition,[]) ).
fof(f719,plain,
ilf_type(inverse3(sK2,sK3,sK4),relation_type(sK3,sK2)),
inference(resolution,[],[f467,f221]) ).
fof(f467,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| ilf_type(inverse3(sK2,sK3,X0),relation_type(sK3,sK2)) ),
inference(subsumption_resolution,[],[f466,f152]) ).
fof(f466,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| ~ ilf_type(sK2,set_type)
| ilf_type(inverse3(sK2,sK3,X0),relation_type(sK3,sK2)) ),
inference(subsumption_resolution,[],[f465,f152]) ).
fof(f465,plain,
! [X0] :
( ~ ilf_type(sK3,set_type)
| ~ ilf_type(X0,sF17)
| ilf_type(inverse3(sK2,sK3,X0),relation_type(sK3,sK2))
| ~ ilf_type(sK2,set_type) ),
inference(superposition,[],[f172,f220]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ) ) ),
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))
=> ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36) ).
fof(f1683,plain,
! [X0] :
( member(X0,domain_of(sF19))
| ~ member(X0,range_of(sK4)) ),
inference(subsumption_resolution,[],[f1676,f334]) ).
fof(f334,plain,
ilf_type(sK4,binary_relation_type),
inference(resolution,[],[f332,f274]) ).
fof(f274,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(subsumption_resolution,[],[f229,f152]) ).
fof(f229,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f332,plain,
relation_like(sK4),
inference(resolution,[],[f330,f221]) ).
fof(f330,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| relation_like(X0) ),
inference(superposition,[],[f328,f220]) ).
fof(f328,plain,
! [X3,X4,X5] :
( ~ ilf_type(X3,relation_type(X4,X5))
| relation_like(X3) ),
inference(resolution,[],[f278,f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f267,f152]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| relation_like(X2) ),
inference(subsumption_resolution,[],[f181,f152]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(f278,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f277,f152]) ).
fof(f277,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f145,f152]) ).
fof(f145,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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)) ) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,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,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,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,[],[f6]) ).
fof(f6,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',p6) ).
fof(f1676,plain,
! [X0] :
( ~ ilf_type(sK4,binary_relation_type)
| ~ member(X0,range_of(sK4))
| member(X0,domain_of(sF19)) ),
inference(superposition,[],[f765,f628]) ).
fof(f628,plain,
sF19 = inverse(sK4),
inference(forward_demodulation,[],[f626,f223]) ).
fof(f626,plain,
inverse3(sK2,sK3,sK4) = inverse(sK4),
inference(resolution,[],[f353,f221]) ).
fof(f353,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| inverse(X0) = inverse3(sK2,sK3,X0) ),
inference(superposition,[],[f282,f220]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| inverse(X2) = inverse3(X0,X1,X2) ),
inference(subsumption_resolution,[],[f281,f152]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| inverse(X2) = inverse3(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f144,f152]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| inverse(X2) = inverse3(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| inverse(X2) = inverse3(X0,X1,X2) ) ) ),
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))
=> inverse(X2) = inverse3(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35) ).
fof(f765,plain,
! [X0,X1] :
( member(X1,domain_of(inverse(X0)))
| ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,range_of(X0)) ),
inference(duplicate_literal_removal,[],[f760]) ).
fof(f760,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| member(X1,domain_of(inverse(X0)))
| ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,range_of(X0)) ),
inference(resolution,[],[f421,f283]) ).
fof(f283,plain,
! [X0,X1] :
( member(ordered_pair(sK9(X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(subsumption_resolution,[],[f193,f152]) ).
fof(f193,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sK9(X0,X1),X0),X1)
| ~ member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X0),X1) ) )
& ( ( ilf_type(sK9(X0,X1),set_type)
& member(ordered_pair(sK9(X0,X1),X0),X1) )
| ~ member(X0,range_of(X1)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f122,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X0),X1) )
=> ( ilf_type(sK9(X0,X1),set_type)
& member(ordered_pair(sK9(X0,X1),X0),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X0),X1) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X0),X1) )
| ~ member(X0,range_of(X1)) ) ) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X0),X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X0),X1) )
| ~ member(X0,range_of(X1)) ) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( member(X0,range_of(X1))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X0),X1) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f421,plain,
! [X6,X4,X5] :
( ~ member(ordered_pair(X6,X4),X5)
| ~ ilf_type(X5,binary_relation_type)
| member(X4,domain_of(inverse(X5))) ),
inference(subsumption_resolution,[],[f420,f196]) ).
fof(f196,plain,
! [X0] :
( ilf_type(inverse(X0),binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ilf_type(inverse(X0),binary_relation_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(inverse(X0),binary_relation_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f420,plain,
! [X6,X4,X5] :
( member(X4,domain_of(inverse(X5)))
| ~ member(ordered_pair(X6,X4),X5)
| ~ ilf_type(X5,binary_relation_type)
| ~ ilf_type(inverse(X5),binary_relation_type) ),
inference(subsumption_resolution,[],[f419,f152]) ).
fof(f419,plain,
! [X6,X4,X5] :
( ~ ilf_type(inverse(X5),binary_relation_type)
| ~ member(ordered_pair(X6,X4),X5)
| ~ ilf_type(X5,binary_relation_type)
| member(X4,domain_of(inverse(X5)))
| ~ ilf_type(X4,set_type) ),
inference(subsumption_resolution,[],[f413,f152]) ).
fof(f413,plain,
! [X6,X4,X5] :
( ~ member(ordered_pair(X6,X4),X5)
| ~ ilf_type(inverse(X5),binary_relation_type)
| member(X4,domain_of(inverse(X5)))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,binary_relation_type) ),
inference(resolution,[],[f175,f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X1),inverse(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X1,X0),X2) ),
inference(subsumption_resolution,[],[f257,f152]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X0,X1),inverse(X2))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f162,f152]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(ordered_pair(X0,X1),inverse(X2)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( member(ordered_pair(X1,X0),X2)
| ~ member(ordered_pair(X0,X1),inverse(X2)) )
& ( member(ordered_pair(X0,X1),inverse(X2))
| ~ member(ordered_pair(X1,X0),X2) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( member(ordered_pair(X1,X0),X2)
<=> member(ordered_pair(X0,X1),inverse(X2)) ) ) )
| ~ 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(ordered_pair(X1,X0),X2)
<=> member(ordered_pair(X0,X1),inverse(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_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(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f2526,plain,
~ subset(sF18,sF20),
inference(subsumption_resolution,[],[f2524,f2252]) ).
fof(f2252,plain,
sF18 != sF20,
inference(trivial_inequality_removal,[],[f2251]) ).
fof(f2251,plain,
( sF21 != sF21
| sF18 != sF20 ),
inference(superposition,[],[f227,f2045]) ).
fof(f2045,plain,
sF22 = sF21,
inference(resolution,[],[f2044,f1657]) ).
fof(f1657,plain,
( ~ subset(sF22,sF21)
| sF22 = sF21 ),
inference(resolution,[],[f1636,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f275,f152]) ).
fof(f275,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ ilf_type(X0,set_type)
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f171,f152]) ).
fof(f171,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| X0 = X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f1636,plain,
subset(sF21,sF22),
inference(duplicate_literal_removal,[],[f1635]) ).
fof(f1635,plain,
( subset(sF21,sF22)
| subset(sF21,sF22) ),
inference(resolution,[],[f1588,f285]) ).
fof(f1588,plain,
! [X4] :
( ~ member(sK7(X4,sF22),sF21)
| subset(X4,sF22) ),
inference(resolution,[],[f1583,f235]) ).
fof(f1583,plain,
! [X5] :
( member(X5,sF22)
| ~ member(X5,sF21) ),
inference(forward_demodulation,[],[f1582,f738]) ).
fof(f738,plain,
sF22 = range_of(sF19),
inference(forward_demodulation,[],[f737,f226]) ).
fof(f226,plain,
sF22 = range(sK3,sK2,sF19),
introduced(function_definition,[]) ).
fof(f737,plain,
range(sK3,sK2,sF19) = range_of(sF19),
inference(subsumption_resolution,[],[f736,f152]) ).
fof(f736,plain,
( ~ ilf_type(sK2,set_type)
| range(sK3,sK2,sF19) = range_of(sF19) ),
inference(subsumption_resolution,[],[f723,f152]) ).
fof(f723,plain,
( range(sK3,sK2,sF19) = range_of(sF19)
| ~ ilf_type(sK3,set_type)
| ~ ilf_type(sK2,set_type) ),
inference(resolution,[],[f721,f167]) ).
fof(f1582,plain,
! [X5] :
( member(X5,range_of(sF19))
| ~ member(X5,sF21) ),
inference(subsumption_resolution,[],[f1581,f152]) ).
fof(f1581,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| ~ member(X5,sF21)
| member(X5,range_of(sF19)) ),
inference(subsumption_resolution,[],[f1580,f630]) ).
fof(f630,plain,
ilf_type(sF19,binary_relation_type),
inference(backward_demodulation,[],[f345,f628]) ).
fof(f345,plain,
ilf_type(inverse(sK4),binary_relation_type),
inference(resolution,[],[f337,f274]) ).
fof(f337,plain,
relation_like(inverse(sK4)),
inference(resolution,[],[f334,f288]) ).
fof(f288,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(inverse(X0)) ),
inference(resolution,[],[f196,f270]) ).
fof(f270,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(subsumption_resolution,[],[f165,f152]) ).
fof(f165,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f1580,plain,
! [X5] :
( member(X5,range_of(sF19))
| ~ ilf_type(sF19,binary_relation_type)
| ~ ilf_type(X5,set_type)
| ~ member(X5,sF21) ),
inference(subsumption_resolution,[],[f1571,f152]) ).
fof(f1571,plain,
! [X5] :
( ~ member(X5,sF21)
| ~ ilf_type(sK0(X5,sK4),set_type)
| ~ ilf_type(sF19,binary_relation_type)
| ~ ilf_type(X5,set_type)
| member(X5,range_of(sF19)) ),
inference(resolution,[],[f1551,f176]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cnf_transformation,[],[f66]) ).
fof(f1551,plain,
! [X1] :
( member(ordered_pair(sK0(X1,sK4),X1),sF19)
| ~ member(X1,sF21) ),
inference(forward_demodulation,[],[f1550,f622]) ).
fof(f622,plain,
domain_of(sK4) = sF21,
inference(forward_demodulation,[],[f620,f225]) ).
fof(f225,plain,
domain(sK2,sK3,sK4) = sF21,
introduced(function_definition,[]) ).
fof(f620,plain,
domain_of(sK4) = domain(sK2,sK3,sK4),
inference(resolution,[],[f350,f221]) ).
fof(f350,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| domain_of(X0) = domain(sK2,sK3,X0) ),
inference(superposition,[],[f251,f220]) ).
fof(f1550,plain,
! [X1] :
( member(ordered_pair(sK0(X1,sK4),X1),sF19)
| ~ member(X1,domain_of(sK4)) ),
inference(subsumption_resolution,[],[f1549,f152]) ).
fof(f1549,plain,
! [X1] :
( member(ordered_pair(sK0(X1,sK4),X1),sF19)
| ~ member(X1,domain_of(sK4))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f1548,f334]) ).
fof(f1548,plain,
! [X1] :
( member(ordered_pair(sK0(X1,sK4),X1),sF19)
| ~ ilf_type(sK4,binary_relation_type)
| ~ member(X1,domain_of(sK4))
| ~ ilf_type(X1,set_type) ),
inference(resolution,[],[f685,f141]) ).
fof(f141,plain,
! [X0,X1] :
( member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X0,X2),X1) ) )
& ( ( ilf_type(sK0(X0,X1),set_type)
& member(ordered_pair(X0,sK0(X0,X1)),X1) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f87,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X0,X3),X1) )
=> ( ilf_type(sK0(X0,X1),set_type)
& member(ordered_pair(X0,sK0(X0,X1)),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X0,X2),X1) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X0,X3),X1) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X0,X2),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(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [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(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f685,plain,
! [X2,X3] :
( ~ member(ordered_pair(X3,X2),sK4)
| member(ordered_pair(X2,X3),sF19) ),
inference(subsumption_resolution,[],[f680,f334]) ).
fof(f680,plain,
! [X2,X3] :
( ~ member(ordered_pair(X3,X2),sK4)
| ~ ilf_type(sK4,binary_relation_type)
| member(ordered_pair(X2,X3),sF19) ),
inference(superposition,[],[f258,f628]) ).
fof(f2044,plain,
subset(sF22,sF21),
inference(duplicate_literal_removal,[],[f2041]) ).
fof(f2041,plain,
( subset(sF22,sF21)
| subset(sF22,sF21) ),
inference(resolution,[],[f1953,f235]) ).
fof(f1953,plain,
! [X8] :
( member(sK7(sF22,X8),sF21)
| subset(sF22,X8) ),
inference(resolution,[],[f1894,f285]) ).
fof(f1894,plain,
! [X6] :
( ~ member(X6,sF22)
| member(X6,sF21) ),
inference(forward_demodulation,[],[f1893,f622]) ).
fof(f1893,plain,
! [X6] :
( member(X6,domain_of(sK4))
| ~ member(X6,sF22) ),
inference(subsumption_resolution,[],[f1892,f152]) ).
fof(f1892,plain,
! [X6] :
( ~ ilf_type(X6,set_type)
| member(X6,domain_of(sK4))
| ~ member(X6,sF22) ),
inference(subsumption_resolution,[],[f1891,f334]) ).
fof(f1891,plain,
! [X6] :
( ~ member(X6,sF22)
| member(X6,domain_of(sK4))
| ~ ilf_type(sK4,binary_relation_type)
| ~ ilf_type(X6,set_type) ),
inference(subsumption_resolution,[],[f1890,f152]) ).
fof(f1890,plain,
! [X6] :
( ~ member(X6,sF22)
| ~ ilf_type(sK9(X6,sF19),set_type)
| ~ ilf_type(sK4,binary_relation_type)
| ~ ilf_type(X6,set_type)
| member(X6,domain_of(sK4)) ),
inference(resolution,[],[f913,f175]) ).
fof(f913,plain,
! [X8] :
( member(ordered_pair(X8,sK9(X8,sF19)),sK4)
| ~ member(X8,sF22) ),
inference(forward_demodulation,[],[f912,f628]) ).
fof(f912,plain,
! [X8] :
( ~ member(X8,sF22)
| member(ordered_pair(X8,sK9(X8,inverse(sK4))),sK4) ),
inference(forward_demodulation,[],[f911,f738]) ).
fof(f911,plain,
! [X8] :
( ~ member(X8,range_of(sF19))
| member(ordered_pair(X8,sK9(X8,inverse(sK4))),sK4) ),
inference(forward_demodulation,[],[f907,f628]) ).
fof(f907,plain,
! [X8] :
( ~ member(X8,range_of(inverse(sK4)))
| member(ordered_pair(X8,sK9(X8,inverse(sK4))),sK4) ),
inference(resolution,[],[f510,f334]) ).
fof(f510,plain,
! [X3,X4] :
( ~ ilf_type(X4,binary_relation_type)
| member(ordered_pair(X3,sK9(X3,inverse(X4))),X4)
| ~ member(X3,range_of(inverse(X4))) ),
inference(subsumption_resolution,[],[f509,f196]) ).
fof(f509,plain,
! [X3,X4] :
( ~ ilf_type(inverse(X4),binary_relation_type)
| ~ member(X3,range_of(inverse(X4)))
| member(ordered_pair(X3,sK9(X3,inverse(X4))),X4)
| ~ ilf_type(X4,binary_relation_type) ),
inference(subsumption_resolution,[],[f508,f152]) ).
fof(f508,plain,
! [X3,X4] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,binary_relation_type)
| member(ordered_pair(X3,sK9(X3,inverse(X4))),X4)
| ~ ilf_type(inverse(X4),binary_relation_type)
| ~ member(X3,range_of(inverse(X4))) ),
inference(subsumption_resolution,[],[f504,f152]) ).
fof(f504,plain,
! [X3,X4] :
( ~ ilf_type(sK9(X3,inverse(X4)),set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,range_of(inverse(X4)))
| member(ordered_pair(X3,sK9(X3,inverse(X4))),X4)
| ~ ilf_type(X4,binary_relation_type)
| ~ ilf_type(inverse(X4),binary_relation_type) ),
inference(resolution,[],[f163,f283]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),inverse(X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f101]) ).
fof(f227,plain,
( sF22 != sF21
| sF18 != sF20 ),
inference(definition_folding,[],[f157,f226,f223,f225,f224,f223,f222]) ).
fof(f157,plain,
( range(sK2,sK3,sK4) != domain(sK3,sK2,inverse3(sK2,sK3,sK4))
| domain(sK2,sK3,sK4) != range(sK3,sK2,inverse3(sK2,sK3,sK4)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f2524,plain,
( sF18 = sF20
| ~ subset(sF18,sF20) ),
inference(resolution,[],[f2521,f276]) ).
fof(f2521,plain,
subset(sF20,sF18),
inference(duplicate_literal_removal,[],[f2519]) ).
fof(f2519,plain,
( subset(sF20,sF18)
| subset(sF20,sF18) ),
inference(resolution,[],[f2464,f235]) ).
fof(f2464,plain,
! [X10] :
( member(sK7(sF20,X10),sF18)
| subset(sF20,X10) ),
inference(resolution,[],[f2441,f285]) ).
fof(f2441,plain,
! [X5] :
( ~ member(X5,sF20)
| member(X5,sF18) ),
inference(forward_demodulation,[],[f2440,f674]) ).
fof(f2440,plain,
! [X5] :
( member(X5,range_of(sK4))
| ~ member(X5,sF20) ),
inference(subsumption_resolution,[],[f2439,f152]) ).
fof(f2439,plain,
! [X5] :
( member(X5,range_of(sK4))
| ~ ilf_type(sK0(X5,sF19),set_type)
| ~ member(X5,sF20) ),
inference(subsumption_resolution,[],[f2438,f334]) ).
fof(f2438,plain,
! [X5] :
( ~ member(X5,sF20)
| member(X5,range_of(sK4))
| ~ ilf_type(sK4,binary_relation_type)
| ~ ilf_type(sK0(X5,sF19),set_type) ),
inference(subsumption_resolution,[],[f2435,f152]) ).
fof(f2435,plain,
! [X5] :
( ~ member(X5,sF20)
| member(X5,range_of(sK4))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(sK0(X5,sF19),set_type)
| ~ ilf_type(sK4,binary_relation_type) ),
inference(resolution,[],[f951,f176]) ).
fof(f951,plain,
! [X8] :
( member(ordered_pair(sK0(X8,sF19),X8),sK4)
| ~ member(X8,sF20) ),
inference(forward_demodulation,[],[f950,f735]) ).
fof(f950,plain,
! [X8] :
( ~ member(X8,domain_of(sF19))
| member(ordered_pair(sK0(X8,sF19),X8),sK4) ),
inference(forward_demodulation,[],[f949,f628]) ).
fof(f949,plain,
! [X8] :
( ~ member(X8,domain_of(inverse(sK4)))
| member(ordered_pair(sK0(X8,sF19),X8),sK4) ),
inference(forward_demodulation,[],[f945,f628]) ).
fof(f945,plain,
! [X8] :
( member(ordered_pair(sK0(X8,inverse(sK4)),X8),sK4)
| ~ member(X8,domain_of(inverse(sK4))) ),
inference(resolution,[],[f513,f334]) ).
fof(f513,plain,
! [X6,X5] :
( ~ ilf_type(X6,binary_relation_type)
| member(ordered_pair(sK0(X5,inverse(X6)),X5),X6)
| ~ member(X5,domain_of(inverse(X6))) ),
inference(subsumption_resolution,[],[f512,f196]) ).
fof(f512,plain,
! [X6,X5] :
( member(ordered_pair(sK0(X5,inverse(X6)),X5),X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ member(X5,domain_of(inverse(X6)))
| ~ ilf_type(inverse(X6),binary_relation_type) ),
inference(subsumption_resolution,[],[f511,f152]) ).
fof(f511,plain,
! [X6,X5] :
( member(ordered_pair(sK0(X5,inverse(X6)),X5),X6)
| ~ ilf_type(inverse(X6),binary_relation_type)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,set_type)
| ~ member(X5,domain_of(inverse(X6))) ),
inference(subsumption_resolution,[],[f507,f152]) ).
fof(f507,plain,
! [X6,X5] :
( ~ ilf_type(X6,binary_relation_type)
| member(ordered_pair(sK0(X5,inverse(X6)),X5),X6)
| ~ member(X5,domain_of(inverse(X6)))
| ~ ilf_type(sK0(X5,inverse(X6)),set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(inverse(X6),binary_relation_type) ),
inference(duplicate_literal_removal,[],[f505]) ).
fof(f505,plain,
! [X6,X5] :
( ~ ilf_type(inverse(X6),binary_relation_type)
| ~ ilf_type(X6,binary_relation_type)
| member(ordered_pair(sK0(X5,inverse(X6)),X5),X6)
| ~ ilf_type(sK0(X5,inverse(X6)),set_type)
| ~ ilf_type(X5,set_type)
| ~ member(X5,domain_of(inverse(X6)))
| ~ ilf_type(X5,set_type) ),
inference(resolution,[],[f163,f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET661+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:07:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.56/0.56 % (20178)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)
% 1.56/0.56 % (20162)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)
% 1.56/0.56 % (20163)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.56/0.56 % (20179)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)
% 1.56/0.57 % (20163)Instruction limit reached!
% 1.56/0.57 % (20163)------------------------------
% 1.56/0.57 % (20163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (20171)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)
% 1.56/0.57 % (20170)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)
% 1.75/0.58 % (20163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58 % (20163)Termination reason: Unknown
% 1.75/0.58 % (20163)Termination phase: Saturation
% 1.75/0.58
% 1.75/0.58 % (20163)Memory used [KB]: 5500
% 1.75/0.58 % (20163)Time elapsed: 0.132 s
% 1.75/0.58 % (20163)Instructions burned: 8 (million)
% 1.75/0.58 % (20163)------------------------------
% 1.75/0.58 % (20163)------------------------------
% 1.75/0.59 TRYING [1]
% 1.75/0.59 % (20161)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)
% 1.75/0.60 TRYING [2]
% 1.75/0.61 % (20159)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)
% 1.75/0.61 % (20156)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)
% 1.75/0.61 % (20177)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.75/0.61 % (20157)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)
% 1.75/0.61 % (20175)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)
% 1.75/0.61 % (20174)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.75/0.62 % (20181)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.75/0.62 TRYING [3]
% 1.75/0.62 % (20183)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)
% 1.75/0.62 % (20182)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)
% 1.75/0.62 % (20180)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.75/0.62 % (20173)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.75/0.63 % (20166)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.75/0.63 % (20167)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)
% 1.75/0.63 % (20169)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.75/0.63 % (20164)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.75/0.63 % (20164)Instruction limit reached!
% 1.75/0.63 % (20164)------------------------------
% 1.75/0.63 % (20164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.63 % (20164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.63 % (20164)Termination reason: Unknown
% 1.75/0.63 % (20164)Termination phase: Preprocessing 3
% 1.75/0.63
% 1.75/0.63 % (20164)Memory used [KB]: 895
% 1.75/0.63 % (20164)Time elapsed: 0.003 s
% 1.75/0.63 % (20164)Instructions burned: 2 (million)
% 1.75/0.63 % (20164)------------------------------
% 1.75/0.63 % (20164)------------------------------
% 1.75/0.63 % (20158)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)
% 1.75/0.63 % (20172)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)
% 1.75/0.63 % (20185)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)
% 1.75/0.63 % (20165)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)
% 1.75/0.63 % (20160)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.64 % (20157)Refutation not found, incomplete strategy% (20157)------------------------------
% 1.75/0.64 % (20157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.64 % (20157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.64 % (20157)Termination reason: Refutation not found, incomplete strategy
% 1.75/0.64
% 1.75/0.64 % (20157)Memory used [KB]: 5628
% 1.75/0.64 % (20157)Time elapsed: 0.169 s
% 1.75/0.64 % (20157)Instructions burned: 8 (million)
% 1.75/0.64 % (20157)------------------------------
% 1.75/0.64 % (20157)------------------------------
% 1.75/0.64 % (20168)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.21/0.64 % (20162)Instruction limit reached!
% 2.21/0.64 % (20162)------------------------------
% 2.21/0.64 % (20162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (20176)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)
% 2.21/0.64 % (20162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (20162)Termination reason: Unknown
% 2.21/0.64 % (20162)Termination phase: Finite model building SAT solving
% 2.21/0.64
% 2.21/0.64 % (20162)Memory used [KB]: 7675
% 2.21/0.64 % (20162)Time elapsed: 0.192 s
% 2.21/0.64 % (20162)Instructions burned: 52 (million)
% 2.21/0.64 % (20162)------------------------------
% 2.21/0.64 % (20162)------------------------------
% 2.21/0.65 % (20184)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.43/0.67 TRYING [1]
% 2.43/0.67 TRYING [2]
% 2.43/0.68 TRYING [1]
% 2.43/0.68 TRYING [2]
% 2.43/0.70 TRYING [3]
% 2.43/0.71 TRYING [3]
% 2.43/0.72 % (20158)Instruction limit reached!
% 2.43/0.72 % (20158)------------------------------
% 2.43/0.72 % (20158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72 % (20158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72 % (20158)Termination reason: Unknown
% 2.43/0.72 % (20158)Termination phase: Saturation
% 2.43/0.72
% 2.43/0.72 % (20158)Memory used [KB]: 1535
% 2.43/0.72 % (20158)Time elapsed: 0.296 s
% 2.43/0.72 % (20158)Instructions burned: 37 (million)
% 2.43/0.72 % (20158)------------------------------
% 2.43/0.72 % (20158)------------------------------
% 2.77/0.72 % (20170)Instruction limit reached!
% 2.77/0.72 % (20170)------------------------------
% 2.77/0.72 % (20170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.72 % (20170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.72 % (20170)Termination reason: Unknown
% 2.77/0.72 % (20170)Termination phase: Saturation
% 2.77/0.72
% 2.77/0.72 % (20170)Memory used [KB]: 6908
% 2.77/0.72 % (20170)Time elapsed: 0.087 s
% 2.77/0.72 % (20170)Instructions burned: 68 (million)
% 2.77/0.72 % (20170)------------------------------
% 2.77/0.72 % (20170)------------------------------
% 2.77/0.73 % (20161)Instruction limit reached!
% 2.77/0.73 % (20161)------------------------------
% 2.77/0.73 % (20161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.73 % (20161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.73 % (20161)Termination reason: Unknown
% 2.77/0.73 % (20161)Termination phase: Saturation
% 2.77/0.73
% 2.77/0.73 % (20161)Memory used [KB]: 5884
% 2.77/0.73 % (20161)Time elapsed: 0.315 s
% 2.77/0.73 % (20161)Instructions burned: 49 (million)
% 2.77/0.73 % (20161)------------------------------
% 2.77/0.73 % (20161)------------------------------
% 2.77/0.73 % (20171)Instruction limit reached!
% 2.77/0.73 % (20171)------------------------------
% 2.77/0.73 % (20171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.73 % (20171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.73 % (20171)Termination reason: Unknown
% 2.77/0.73 % (20171)Termination phase: Saturation
% 2.77/0.73
% 2.77/0.73 % (20171)Memory used [KB]: 2174
% 2.77/0.73 % (20171)Time elapsed: 0.288 s
% 2.77/0.73 % (20171)Instructions burned: 75 (million)
% 2.77/0.73 % (20171)------------------------------
% 2.77/0.73 % (20171)------------------------------
% 2.77/0.75 % (20159)Instruction limit reached!
% 2.77/0.75 % (20159)------------------------------
% 2.77/0.75 % (20159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.75 % (20159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.75 % (20159)Termination reason: Unknown
% 2.77/0.75 % (20159)Termination phase: Saturation
% 2.77/0.75
% 2.77/0.75 % (20159)Memory used [KB]: 6140
% 2.77/0.75 % (20159)Time elapsed: 0.328 s
% 2.77/0.75 % (20159)Instructions burned: 51 (million)
% 2.77/0.75 % (20159)------------------------------
% 2.77/0.75 % (20159)------------------------------
% 3.02/0.76 % (20173)Instruction limit reached!
% 3.02/0.76 % (20173)------------------------------
% 3.02/0.76 % (20173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.76 % (20173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.76 % (20173)Termination reason: Unknown
% 3.02/0.76 % (20173)Termination phase: Finite model building SAT solving
% 3.02/0.76
% 3.02/0.76 % (20173)Memory used [KB]: 7675
% 3.02/0.76 % (20173)Time elapsed: 0.224 s
% 3.02/0.76 % (20173)Instructions burned: 60 (million)
% 3.02/0.76 % (20173)------------------------------
% 3.02/0.76 % (20173)------------------------------
% 3.02/0.76 % (20165)Instruction limit reached!
% 3.02/0.76 % (20165)------------------------------
% 3.02/0.76 % (20165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.76 % (20165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.76 % (20165)Termination reason: Unknown
% 3.02/0.76 % (20165)Termination phase: Saturation
% 3.02/0.76
% 3.02/0.76 % (20165)Memory used [KB]: 1535
% 3.02/0.76 % (20165)Time elapsed: 0.281 s
% 3.02/0.76 % (20165)Instructions burned: 51 (million)
% 3.02/0.76 % (20165)------------------------------
% 3.02/0.76 % (20165)------------------------------
% 3.02/0.76 % (20166)Instruction limit reached!
% 3.02/0.76 % (20166)------------------------------
% 3.02/0.76 % (20166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.76 % (20166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.76 % (20166)Termination reason: Unknown
% 3.02/0.76 % (20166)Termination phase: Saturation
% 3.02/0.76
% 3.02/0.76 % (20166)Memory used [KB]: 6268
% 3.02/0.76 % (20166)Time elapsed: 0.345 s
% 3.02/0.76 % (20166)Instructions burned: 50 (million)
% 3.02/0.76 % (20166)------------------------------
% 3.02/0.76 % (20166)------------------------------
% 3.02/0.78 % (20160)Instruction limit reached!
% 3.02/0.78 % (20160)------------------------------
% 3.02/0.78 % (20160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.78 % (20160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.78 % (20160)Termination reason: Unknown
% 3.02/0.78 % (20160)Termination phase: Saturation
% 3.02/0.78
% 3.02/0.78 % (20160)Memory used [KB]: 6652
% 3.02/0.78 % (20160)Time elapsed: 0.362 s
% 3.02/0.78 % (20160)Instructions burned: 51 (million)
% 3.02/0.78 % (20160)------------------------------
% 3.02/0.78 % (20160)------------------------------
% 3.02/0.78 % (20189)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 (2997ds/388Mi)
% 3.45/0.83 % (20182)Instruction limit reached!
% 3.45/0.83 % (20182)------------------------------
% 3.45/0.83 % (20182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.45/0.83 % (20182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.45/0.83 % (20182)Termination reason: Unknown
% 3.45/0.83 % (20182)Termination phase: Saturation
% 3.45/0.83
% 3.45/0.83 % (20182)Memory used [KB]: 6908
% 3.45/0.83 % (20182)Time elapsed: 0.060 s
% 3.45/0.83 % (20182)Instructions burned: 69 (million)
% 3.45/0.83 % (20182)------------------------------
% 3.45/0.83 % (20182)------------------------------
% 3.45/0.84 % (20195)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.45/0.84 TRYING [4]
% 3.45/0.86 % (20192)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)
% 3.65/0.87 % (20169)Instruction limit reached!
% 3.65/0.87 % (20169)------------------------------
% 3.65/0.87 % (20169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.88 % (20169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.88 % (20169)Termination reason: Unknown
% 3.65/0.88 % (20169)Termination phase: Saturation
% 3.65/0.88
% 3.65/0.88 % (20169)Memory used [KB]: 7036
% 3.65/0.88 % (20169)Time elapsed: 0.452 s
% 3.65/0.88 % (20169)Instructions burned: 99 (million)
% 3.65/0.88 % (20169)------------------------------
% 3.65/0.88 % (20169)------------------------------
% 3.65/0.88 % (20193)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)
% 3.65/0.88 % (20172)Instruction limit reached!
% 3.65/0.88 % (20172)------------------------------
% 3.65/0.88 % (20172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.88 % (20172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.88 % (20172)Termination reason: Unknown
% 3.65/0.88 % (20172)Termination phase: Saturation
% 3.65/0.88
% 3.65/0.88 % (20172)Memory used [KB]: 6140
% 3.65/0.88 % (20172)Time elapsed: 0.463 s
% 3.65/0.88 % (20172)Instructions burned: 99 (million)
% 3.65/0.88 % (20172)------------------------------
% 3.65/0.88 % (20172)------------------------------
% 3.65/0.89 % (20175)Instruction limit reached!
% 3.65/0.89 % (20175)------------------------------
% 3.65/0.89 % (20175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.89 % (20175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.89 % (20175)Termination reason: Unknown
% 3.65/0.89 % (20175)Termination phase: Saturation
% 3.65/0.89
% 3.65/0.89 % (20175)Memory used [KB]: 2430
% 3.65/0.89 % (20175)Time elapsed: 0.475 s
% 3.65/0.89 % (20175)Instructions burned: 100 (million)
% 3.65/0.89 % (20175)------------------------------
% 3.65/0.89 % (20175)------------------------------
% 3.65/0.90 % (20167)Instruction limit reached!
% 3.65/0.90 % (20167)------------------------------
% 3.65/0.90 % (20167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.90 % (20167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.90 % (20167)Termination reason: Unknown
% 3.65/0.90 % (20167)Termination phase: Saturation
% 3.65/0.90
% 3.65/0.90 % (20167)Memory used [KB]: 7291
% 3.65/0.90 % (20167)Time elapsed: 0.487 s
% 3.65/0.90 % (20167)Instructions burned: 101 (million)
% 3.65/0.90 % (20167)------------------------------
% 3.65/0.90 % (20167)------------------------------
% 3.65/0.91 % (20174)Instruction limit reached!
% 3.65/0.91 % (20174)------------------------------
% 3.65/0.91 % (20174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.91 % (20174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.91 % (20174)Termination reason: Unknown
% 3.65/0.91 % (20174)Termination phase: Saturation
% 3.65/0.91
% 3.65/0.91 % (20174)Memory used [KB]: 7547
% 3.65/0.91 % (20174)Time elapsed: 0.492 s
% 3.65/0.91 % (20174)Instructions burned: 101 (million)
% 3.65/0.91 % (20174)------------------------------
% 3.65/0.91 % (20174)------------------------------
% 3.65/0.91 % (20201)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 (2996ds/747Mi)
% 3.65/0.93 % (20168)Instruction limit reached!
% 3.65/0.93 % (20168)------------------------------
% 3.65/0.93 % (20168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.93 % (20168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.93 % (20168)Termination reason: Unknown
% 3.65/0.93 % (20168)Termination phase: Saturation
% 3.65/0.93
% 3.65/0.93 % (20168)Memory used [KB]: 7036
% 3.65/0.93 % (20168)Time elapsed: 0.515 s
% 3.65/0.93 % (20168)Instructions burned: 102 (million)
% 3.65/0.93 % (20168)------------------------------
% 3.65/0.93 % (20168)------------------------------
% 3.92/0.95 % (20200)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.92/0.95 % (20177)Instruction limit reached!
% 3.92/0.95 % (20177)------------------------------
% 3.92/0.95 % (20177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.92/0.95 % (20177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.92/0.95 % (20177)Termination reason: Unknown
% 3.92/0.95 % (20177)Termination phase: Saturation
% 3.92/0.95
% 3.92/0.95 % (20177)Memory used [KB]: 7803
% 3.92/0.95 % (20177)Time elapsed: 0.517 s
% 3.92/0.95 % (20177)Instructions burned: 139 (million)
% 3.92/0.95 % (20177)------------------------------
% 3.92/0.95 % (20177)------------------------------
% 3.92/0.96 % (20205)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)
% 4.00/0.97 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.00/0.97 % (20207)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 (2995ds/981Mi)
% 4.00/0.97 % (20204)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 (2996ds/655Mi)
% 4.00/0.97 % (20206)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 (2996ds/940Mi)
% 4.00/1.00 % (20210)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 (2995ds/2016Mi)
% 4.00/1.01 % (20183)First to succeed.
% 4.00/1.01 % (20209)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 (2995ds/90Mi)
% 4.12/1.02 % (20211)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.12/1.03 % (20183)Refutation found. Thanks to Tanya!
% 4.12/1.03 % SZS status Theorem for theBenchmark
% 4.12/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/1.04 % (20183)------------------------------
% 4.12/1.04 % (20183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.04 % (20183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.04 % (20183)Termination reason: Refutation
% 4.12/1.04
% 4.12/1.04 % (20183)Memory used [KB]: 3326
% 4.12/1.04 % (20183)Time elapsed: 0.590 s
% 4.12/1.04 % (20183)Instructions burned: 134 (million)
% 4.12/1.04 % (20183)------------------------------
% 4.12/1.04 % (20183)------------------------------
% 4.12/1.04 % (20155)Success in time 0.672 s
%------------------------------------------------------------------------------