TSTP Solution File: SET655+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET655+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 : n016.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 18:21:46 EDT 2022
% Result : Theorem 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 18
% Syntax : Number of formulae : 111 ( 15 unt; 0 def)
% Number of atoms : 526 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 661 ( 246 ~; 242 |; 116 &)
% ( 13 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 211 ( 167 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f264,plain,
$false,
inference(subsumption_resolution,[],[f263,f114]) ).
fof(f114,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f263,plain,
~ ilf_type(sK12,set_type),
inference(subsumption_resolution,[],[f262,f120]) ).
fof(f120,plain,
~ ilf_type(sK13,relation_type(sK10,sK12)),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ilf_type(sK9,set_type)
& ilf_type(sK10,set_type)
& ilf_type(sK11,set_type)
& subset(sK11,sK12)
& ilf_type(sK13,relation_type(sK9,sK11))
& subset(sK9,sK10)
& ~ ilf_type(sK13,relation_type(sK10,sK12))
& ilf_type(sK12,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f41,f81,f80,f79,f78,f77]) ).
fof(f77,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ? [X4] :
( subset(X2,X3)
& ilf_type(X4,relation_type(X0,X2))
& subset(X0,X1)
& ~ ilf_type(X4,relation_type(X1,X3)) )
& ilf_type(X3,set_type) ) ) ) )
=> ( ilf_type(sK9,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ? [X4] :
( subset(X2,X3)
& ilf_type(X4,relation_type(sK9,X2))
& subset(sK9,X1)
& ~ ilf_type(X4,relation_type(X1,X3)) )
& ilf_type(X3,set_type) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ? [X4] :
( subset(X2,X3)
& ilf_type(X4,relation_type(sK9,X2))
& subset(sK9,X1)
& ~ ilf_type(X4,relation_type(X1,X3)) )
& ilf_type(X3,set_type) ) ) )
=> ( ilf_type(sK10,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ? [X4] :
( subset(X2,X3)
& ilf_type(X4,relation_type(sK9,X2))
& subset(sK9,sK10)
& ~ ilf_type(X4,relation_type(sK10,X3)) )
& ilf_type(X3,set_type) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ? [X4] :
( subset(X2,X3)
& ilf_type(X4,relation_type(sK9,X2))
& subset(sK9,sK10)
& ~ ilf_type(X4,relation_type(sK10,X3)) )
& ilf_type(X3,set_type) ) )
=> ( ilf_type(sK11,set_type)
& ? [X3] :
( ? [X4] :
( subset(sK11,X3)
& ilf_type(X4,relation_type(sK9,sK11))
& subset(sK9,sK10)
& ~ ilf_type(X4,relation_type(sK10,X3)) )
& ilf_type(X3,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X3] :
( ? [X4] :
( subset(sK11,X3)
& ilf_type(X4,relation_type(sK9,sK11))
& subset(sK9,sK10)
& ~ ilf_type(X4,relation_type(sK10,X3)) )
& ilf_type(X3,set_type) )
=> ( ? [X4] :
( subset(sK11,sK12)
& ilf_type(X4,relation_type(sK9,sK11))
& subset(sK9,sK10)
& ~ ilf_type(X4,relation_type(sK10,sK12)) )
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X4] :
( subset(sK11,sK12)
& ilf_type(X4,relation_type(sK9,sK11))
& subset(sK9,sK10)
& ~ ilf_type(X4,relation_type(sK10,sK12)) )
=> ( subset(sK11,sK12)
& ilf_type(sK13,relation_type(sK9,sK11))
& subset(sK9,sK10)
& ~ ilf_type(sK13,relation_type(sK10,sK12)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ? [X4] :
( subset(X2,X3)
& ilf_type(X4,relation_type(X0,X2))
& subset(X0,X1)
& ~ ilf_type(X4,relation_type(X1,X3)) )
& ilf_type(X3,set_type) ) ) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X0,X1)
& subset(X2,X3)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X0,X1)
& subset(X2,X3) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X0,X1)
& subset(X2,X3) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_17) ).
fof(f262,plain,
( ilf_type(sK13,relation_type(sK10,sK12))
| ~ ilf_type(sK12,set_type) ),
inference(subsumption_resolution,[],[f259,f114]) ).
fof(f259,plain,
( ~ ilf_type(sK10,set_type)
| ilf_type(sK13,relation_type(sK10,sK12))
| ~ ilf_type(sK12,set_type) ),
inference(resolution,[],[f258,f104]) ).
fof(f104,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,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,[],[f34]) ).
fof(f34,plain,
! [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)) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [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,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f258,plain,
ilf_type(sK13,subset_type(cross_product(sK10,sK12))),
inference(subsumption_resolution,[],[f257,f114]) ).
fof(f257,plain,
( ~ ilf_type(sK13,set_type)
| ilf_type(sK13,subset_type(cross_product(sK10,sK12))) ),
inference(subsumption_resolution,[],[f255,f114]) ).
fof(f255,plain,
( ~ ilf_type(cross_product(sK10,sK12),set_type)
| ~ ilf_type(sK13,set_type)
| ilf_type(sK13,subset_type(cross_product(sK10,sK12))) ),
inference(resolution,[],[f250,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,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,[],[f22]) ).
fof(f22,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,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f250,plain,
ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12)))),
inference(subsumption_resolution,[],[f249,f114]) ).
fof(f249,plain,
( ~ ilf_type(power_set(cross_product(sK10,sK12)),set_type)
| ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12)))) ),
inference(subsumption_resolution,[],[f248,f244]) ).
fof(f244,plain,
~ empty(power_set(cross_product(sK10,sK12))),
inference(subsumption_resolution,[],[f243,f114]) ).
fof(f243,plain,
( ~ empty(power_set(cross_product(sK10,sK12)))
| ~ ilf_type(sK13,set_type) ),
inference(subsumption_resolution,[],[f238,f114]) ).
fof(f238,plain,
( ~ ilf_type(power_set(cross_product(sK10,sK12)),set_type)
| ~ empty(power_set(cross_product(sK10,sK12)))
| ~ ilf_type(sK13,set_type) ),
inference(resolution,[],[f234,f92]) ).
fof(f92,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ( member(sK3(X0),X0)
& ilf_type(sK3(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f60,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK3(X0),X0)
& ilf_type(sK3(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) )
<=> empty(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f234,plain,
member(sK13,power_set(cross_product(sK10,sK12))),
inference(subsumption_resolution,[],[f233,f114]) ).
fof(f233,plain,
( ~ ilf_type(cross_product(sK10,sK12),set_type)
| member(sK13,power_set(cross_product(sK10,sK12))) ),
inference(subsumption_resolution,[],[f227,f114]) ).
fof(f227,plain,
( member(sK13,power_set(cross_product(sK10,sK12)))
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(cross_product(sK10,sK12),set_type) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f221,plain,
( member(sK13,power_set(cross_product(sK10,sK12)))
| ~ ilf_type(cross_product(sK10,sK12),set_type)
| member(sK13,power_set(cross_product(sK10,sK12)))
| ~ ilf_type(sK13,set_type) ),
inference(resolution,[],[f220,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ member(sK8(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ( ilf_type(sK8(X0,X1),set_type)
& member(sK8(X0,X1),X0)
& ~ member(sK8(X0,X1),X1) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) )
| ~ member(X0,power_set(X1)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f73,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
=> ( ilf_type(sK8(X0,X1),set_type)
& member(sK8(X0,X1),X0)
& ~ member(sK8(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [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) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) )
| ~ member(X0,power_set(X1)) ) ) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [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) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) )
| ~ member(X0,power_set(X1)) ) ) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [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) ) ) ) ),
inference(flattening,[],[f32]) ).
fof(f32,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,[],[f10]) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f220,plain,
! [X0] :
( member(sK8(sK13,X0),cross_product(sK10,sK12))
| member(sK13,power_set(X0)) ),
inference(resolution,[],[f219,f121]) ).
fof(f121,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f82]) ).
fof(f219,plain,
! [X0,X1] :
( ~ subset(sK9,X1)
| member(sK13,power_set(X0))
| member(sK8(sK13,X0),cross_product(X1,sK12)) ),
inference(resolution,[],[f208,f123]) ).
fof(f123,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f82]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ subset(sK11,X2)
| member(sK13,power_set(X0))
| member(sK8(sK13,X0),cross_product(X1,X2))
| ~ subset(sK9,X1) ),
inference(subsumption_resolution,[],[f207,f114]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,set_type)
| member(sK13,power_set(X0))
| ~ subset(sK11,X2)
| member(sK8(sK13,X0),cross_product(X1,X2))
| ~ subset(sK9,X1) ),
inference(subsumption_resolution,[],[f206,f114]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ ilf_type(sK11,set_type)
| member(sK13,power_set(X0))
| member(sK8(sK13,X0),cross_product(X1,X2))
| ~ subset(sK9,X1)
| ~ subset(sK11,X2)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f205,f114]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ ilf_type(sK9,set_type)
| ~ ilf_type(sK11,set_type)
| member(sK13,power_set(X0))
| member(sK8(sK13,X0),cross_product(X1,X2))
| ~ subset(sK9,X1)
| ~ subset(sK11,X2)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f204,f114]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(sK11,set_type)
| ~ subset(sK11,X2)
| member(sK8(sK13,X0),cross_product(X1,X2))
| member(sK13,power_set(X0))
| ~ subset(sK9,X1)
| ~ ilf_type(sK9,set_type)
| ~ ilf_type(X2,set_type) ),
inference(resolution,[],[f187,f118]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X0,set_type)
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ subset(X0,X1)
| ~ ilf_type(X3,set_type)
| subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type) )
| ~ 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,set_type)
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f187,plain,
! [X2,X3] :
( ~ subset(cross_product(sK9,sK11),X3)
| member(sK13,power_set(X2))
| member(sK8(sK13,X2),X3) ),
inference(subsumption_resolution,[],[f186,f114]) ).
fof(f186,plain,
! [X2,X3] :
( member(sK13,power_set(X2))
| member(sK8(sK13,X2),X3)
| ~ ilf_type(sK8(sK13,X2),set_type)
| ~ subset(cross_product(sK9,sK11),X3) ),
inference(subsumption_resolution,[],[f185,f114]) ).
fof(f185,plain,
! [X2,X3] :
( ~ ilf_type(X3,set_type)
| member(sK13,power_set(X2))
| member(sK8(sK13,X2),X3)
| ~ subset(cross_product(sK9,sK11),X3)
| ~ ilf_type(sK8(sK13,X2),set_type) ),
inference(subsumption_resolution,[],[f176,f114]) ).
fof(f176,plain,
! [X2,X3] :
( member(sK8(sK13,X2),X3)
| ~ ilf_type(cross_product(sK9,sK11),set_type)
| member(sK13,power_set(X2))
| ~ subset(cross_product(sK9,sK11),X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(sK8(sK13,X2),set_type) ),
inference(resolution,[],[f172,f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| member(X2,X1)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0)
& ilf_type(sK0(X0,X1),set_type) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0)
& ilf_type(sK0(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f42]) ).
fof(f42,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,[],[f5]) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f172,plain,
! [X0] :
( member(sK8(sK13,X0),cross_product(sK9,sK11))
| member(sK13,power_set(X0)) ),
inference(subsumption_resolution,[],[f171,f114]) ).
fof(f171,plain,
! [X0] :
( member(sK8(sK13,X0),cross_product(sK9,sK11))
| ~ ilf_type(sK13,set_type)
| member(sK13,power_set(X0)) ),
inference(subsumption_resolution,[],[f170,f114]) ).
fof(f170,plain,
! [X0] :
( member(sK13,power_set(X0))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(sK13,set_type)
| member(sK8(sK13,X0),cross_product(sK9,sK11)) ),
inference(resolution,[],[f164,f109]) ).
fof(f109,plain,
! [X0,X1] :
( member(sK8(X0,X1),X0)
| ~ ilf_type(X0,set_type)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f164,plain,
! [X0] :
( ~ member(X0,sK13)
| member(X0,cross_product(sK9,sK11)) ),
inference(subsumption_resolution,[],[f163,f114]) ).
fof(f163,plain,
! [X0] :
( member(X0,cross_product(sK9,sK11))
| ~ ilf_type(X0,set_type)
| ~ member(X0,sK13) ),
inference(subsumption_resolution,[],[f162,f114]) ).
fof(f162,plain,
! [X0] :
( member(X0,cross_product(sK9,sK11))
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,sK13) ),
inference(subsumption_resolution,[],[f156,f114]) ).
fof(f156,plain,
! [X0] :
( ~ ilf_type(cross_product(sK9,sK11),set_type)
| member(X0,cross_product(sK9,sK11))
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,sK13) ),
inference(resolution,[],[f155,f107]) ).
fof(f107,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X3,X0)
| member(X3,X1)
| ~ ilf_type(X3,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f155,plain,
member(sK13,power_set(cross_product(sK9,sK11))),
inference(subsumption_resolution,[],[f154,f114]) ).
fof(f154,plain,
( ~ ilf_type(cross_product(sK9,sK11),set_type)
| member(sK13,power_set(cross_product(sK9,sK11))) ),
inference(resolution,[],[f153,f112]) ).
fof(f112,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f153,plain,
( empty(power_set(cross_product(sK9,sK11)))
| member(sK13,power_set(cross_product(sK9,sK11))) ),
inference(subsumption_resolution,[],[f152,f114]) ).
fof(f152,plain,
( member(sK13,power_set(cross_product(sK9,sK11)))
| ~ ilf_type(power_set(cross_product(sK9,sK11)),set_type)
| empty(power_set(cross_product(sK9,sK11))) ),
inference(subsumption_resolution,[],[f151,f114]) ).
fof(f151,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(power_set(cross_product(sK9,sK11)),set_type)
| member(sK13,power_set(cross_product(sK9,sK11)))
| empty(power_set(cross_product(sK9,sK11))) ),
inference(resolution,[],[f149,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) )
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f149,plain,
ilf_type(sK13,member_type(power_set(cross_product(sK9,sK11)))),
inference(subsumption_resolution,[],[f148,f114]) ).
fof(f148,plain,
( ilf_type(sK13,member_type(power_set(cross_product(sK9,sK11))))
| ~ ilf_type(sK13,set_type) ),
inference(subsumption_resolution,[],[f145,f114]) ).
fof(f145,plain,
( ilf_type(sK13,member_type(power_set(cross_product(sK9,sK11))))
| ~ ilf_type(cross_product(sK9,sK11),set_type)
| ~ ilf_type(sK13,set_type) ),
inference(resolution,[],[f142,f83]) ).
fof(f83,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,[],[f50]) ).
fof(f142,plain,
ilf_type(sK13,subset_type(cross_product(sK9,sK11))),
inference(subsumption_resolution,[],[f141,f114]) ).
fof(f141,plain,
( ilf_type(sK13,subset_type(cross_product(sK9,sK11)))
| ~ ilf_type(sK9,set_type) ),
inference(subsumption_resolution,[],[f140,f114]) ).
fof(f140,plain,
( ~ ilf_type(sK11,set_type)
| ~ ilf_type(sK9,set_type)
| ilf_type(sK13,subset_type(cross_product(sK9,sK11))) ),
inference(resolution,[],[f122,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f69]) ).
fof(f122,plain,
ilf_type(sK13,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f82]) ).
fof(f248,plain,
( empty(power_set(cross_product(sK10,sK12)))
| ~ ilf_type(power_set(cross_product(sK10,sK12)),set_type)
| ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12)))) ),
inference(subsumption_resolution,[],[f239,f114]) ).
fof(f239,plain,
( ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12))))
| ~ ilf_type(sK13,set_type)
| ~ ilf_type(power_set(cross_product(sK10,sK12)),set_type)
| empty(power_set(cross_product(sK10,sK12))) ),
inference(resolution,[],[f234,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET655+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:32:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (22613)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)
% 0.18/0.50 % (22619)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)
% 0.18/0.51 % (22627)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)
% 0.18/0.51 % (22613)Refutation not found, incomplete strategy% (22613)------------------------------
% 0.18/0.51 % (22613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22622)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)
% 0.18/0.52 % (22613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22613)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (22613)Memory used [KB]: 1535
% 0.18/0.52 % (22613)Time elapsed: 0.111 s
% 0.18/0.52 % (22613)Instructions burned: 3 (million)
% 0.18/0.52 % (22613)------------------------------
% 0.18/0.52 % (22613)------------------------------
% 0.18/0.52 % (22627)Refutation not found, incomplete strategy% (22627)------------------------------
% 0.18/0.52 % (22627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22630)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)
% 0.18/0.52 % (22612)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)
% 0.18/0.52 % (22619)Instruction limit reached!
% 0.18/0.52 % (22619)------------------------------
% 0.18/0.52 % (22619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22619)Termination reason: Unknown
% 0.18/0.52 % (22619)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (22619)Memory used [KB]: 6140
% 0.18/0.52 % (22619)Time elapsed: 0.128 s
% 0.18/0.52 % (22619)Instructions burned: 7 (million)
% 0.18/0.52 % (22619)------------------------------
% 0.18/0.52 % (22619)------------------------------
% 0.18/0.52 % (22627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22627)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (22627)Memory used [KB]: 6012
% 0.18/0.52 % (22627)Time elapsed: 0.125 s
% 0.18/0.52 % (22627)Instructions burned: 2 (million)
% 0.18/0.52 % (22627)------------------------------
% 0.18/0.52 % (22627)------------------------------
% 0.18/0.52 % (22609)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)
% 0.18/0.52 % (22610)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)
% 0.18/0.52 % (22618)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)
% 0.18/0.52 % (22614)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)
% 0.18/0.52 % (22622)Instruction limit reached!
% 0.18/0.52 % (22622)------------------------------
% 0.18/0.52 % (22622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22622)Termination reason: Unknown
% 0.18/0.52 % (22622)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (22622)Memory used [KB]: 6012
% 0.18/0.52 % (22622)Time elapsed: 0.004 s
% 0.18/0.52 % (22622)Instructions burned: 4 (million)
% 0.18/0.52 % (22622)------------------------------
% 0.18/0.52 % (22622)------------------------------
% 0.18/0.52 % (22615)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)
% 0.18/0.52 % (22616)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.53 % (22617)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)
% 0.18/0.53 % (22608)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.53 % (22618)Instruction limit reached!
% 0.18/0.53 % (22618)------------------------------
% 0.18/0.53 % (22618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (22618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (22618)Termination reason: Unknown
% 0.18/0.53 % (22618)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (22618)Memory used [KB]: 6140
% 0.18/0.53 % (22618)Time elapsed: 0.130 s
% 0.18/0.53 % (22618)Instructions burned: 13 (million)
% 0.18/0.53 % (22618)------------------------------
% 0.18/0.53 % (22618)------------------------------
% 0.18/0.53 % (22634)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (22633)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)
% 0.18/0.53 % (22631)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)
% 0.18/0.53 % (22620)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.53 % (22634)Refutation not found, incomplete strategy% (22634)------------------------------
% 0.18/0.53 % (22634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (22634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (22634)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53 % (22634)Memory used [KB]: 6012
% 0.18/0.53 % (22634)Time elapsed: 0.139 s
% 0.18/0.53 % (22634)Instructions burned: 4 (million)
% 0.18/0.53 % (22634)------------------------------
% 0.18/0.53 % (22634)------------------------------
% 0.18/0.54 % (22632)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)
% 0.18/0.54 % (22628)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)
% 0.18/0.54 % (22623)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)
% 0.18/0.54 % (22635)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)
% 0.18/0.54 % (22621)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 % (22625)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.54 % (22624)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (22625)Instruction limit reached!
% 0.18/0.54 % (22625)------------------------------
% 0.18/0.54 % (22625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (22625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (22625)Termination reason: Unknown
% 0.18/0.54 % (22625)Termination phase: Equality resolution with deletion
% 0.18/0.54
% 0.18/0.54 % (22625)Memory used [KB]: 1535
% 0.18/0.54 % (22625)Time elapsed: 0.002 s
% 0.18/0.54 % (22625)Instructions burned: 3 (million)
% 0.18/0.54 % (22625)------------------------------
% 0.18/0.54 % (22625)------------------------------
% 0.18/0.54 % (22626)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54 % (22629)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)
% 0.18/0.54 % (22610)Instruction limit reached!
% 0.18/0.54 % (22610)------------------------------
% 0.18/0.54 % (22610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (22610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (22610)Termination reason: Unknown
% 0.18/0.54 % (22610)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (22610)Memory used [KB]: 1407
% 0.18/0.54 % (22610)Time elapsed: 0.003 s
% 0.18/0.54 % (22610)Instructions burned: 3 (million)
% 0.18/0.54 % (22610)------------------------------
% 0.18/0.54 % (22610)------------------------------
% 0.18/0.54 % (22609)Refutation not found, incomplete strategy% (22609)------------------------------
% 0.18/0.54 % (22609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (22609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (22609)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54
% 0.18/0.54 % (22609)Memory used [KB]: 6012
% 0.18/0.54 % (22609)Time elapsed: 0.145 s
% 0.18/0.54 % (22609)Instructions burned: 3 (million)
% 0.18/0.54 % (22609)------------------------------
% 0.18/0.54 % (22609)------------------------------
% 0.18/0.54 % (22624)Refutation not found, incomplete strategy% (22624)------------------------------
% 0.18/0.54 % (22624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (22624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (22624)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54
% 0.18/0.54 % (22624)Memory used [KB]: 6012
% 0.18/0.54 % (22624)Time elapsed: 0.149 s
% 0.18/0.54 % (22624)Instructions burned: 4 (million)
% 0.18/0.54 % (22624)------------------------------
% 0.18/0.54 % (22624)------------------------------
% 0.18/0.54 % (22612)Instruction limit reached!
% 0.18/0.54 % (22612)------------------------------
% 0.18/0.54 % (22612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (22626)Instruction limit reached!
% 0.18/0.54 % (22626)------------------------------
% 0.18/0.54 % (22626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (22626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (22626)Termination reason: Unknown
% 0.18/0.54 % (22626)Termination phase: Preprocessing 3
% 0.18/0.54
% 0.18/0.54 % (22626)Memory used [KB]: 1407
% 0.18/0.54 % (22626)Time elapsed: 0.004 s
% 0.18/0.54 % (22626)Instructions burned: 2 (million)
% 0.18/0.54 % (22626)------------------------------
% 0.18/0.54 % (22626)------------------------------
% 0.18/0.54 % (22611)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)
% 0.18/0.54 % (22612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (22612)Termination reason: Unknown
% 0.18/0.54 % (22612)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (22612)Memory used [KB]: 6140
% 0.18/0.54 % (22612)Time elapsed: 0.136 s
% 0.18/0.54 % (22612)Instructions burned: 13 (million)
% 0.18/0.54 % (22612)------------------------------
% 0.18/0.54 % (22612)------------------------------
% 0.18/0.55 % (22637)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)
% 0.18/0.56 % (22623)Instruction limit reached!
% 0.18/0.56 % (22623)------------------------------
% 0.18/0.56 % (22623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (22623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (22623)Termination reason: Unknown
% 0.18/0.56 % (22623)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (22623)Memory used [KB]: 6140
% 0.18/0.56 % (22623)Time elapsed: 0.152 s
% 0.18/0.56 % (22623)Instructions burned: 8 (million)
% 0.18/0.56 % (22623)------------------------------
% 0.18/0.56 % (22623)------------------------------
% 0.18/0.56 % (22620)First to succeed.
% 0.18/0.57 % (22620)Refutation found. Thanks to Tanya!
% 0.18/0.57 % SZS status Theorem for theBenchmark
% 0.18/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57 % (22620)------------------------------
% 0.18/0.57 % (22620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (22620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (22620)Termination reason: Refutation
% 0.18/0.57
% 0.18/0.57 % (22620)Memory used [KB]: 1663
% 0.18/0.57 % (22620)Time elapsed: 0.153 s
% 0.18/0.57 % (22620)Instructions burned: 8 (million)
% 0.18/0.57 % (22620)------------------------------
% 0.18/0.57 % (22620)------------------------------
% 0.18/0.57 % (22607)Success in time 0.217 s
%------------------------------------------------------------------------------