TSTP Solution File: SET678+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET678+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 : n005.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 18:21:51 EDT 2022
% Result : Theorem 2.46s 0.75s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 21
% Syntax : Number of formulae : 144 ( 12 unt; 0 def)
% Number of atoms : 532 ( 50 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 673 ( 285 ~; 271 |; 53 &)
% ( 15 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 296 ( 284 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f769,plain,
$false,
inference(resolution,[],[f767,f153]) ).
fof(f153,plain,
ilf_type(sK5,identity_relation_of_type(sK4)),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ilf_type(sK4,set_type)
& ilf_type(sK5,identity_relation_of_type(sK4))
& ( compose(identity_relation_of(sK4),sK5) != sK5
| compose(sK5,identity_relation_of(sK4)) != sK5 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f55,f96,f95]) ).
fof(f95,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
& ( compose(identity_relation_of(X0),X1) != X1
| compose(X1,identity_relation_of(X0)) != X1 ) ) )
=> ( ilf_type(sK4,set_type)
& ? [X1] :
( ilf_type(X1,identity_relation_of_type(sK4))
& ( compose(identity_relation_of(sK4),X1) != X1
| compose(X1,identity_relation_of(sK4)) != X1 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X1] :
( ilf_type(X1,identity_relation_of_type(sK4))
& ( compose(identity_relation_of(sK4),X1) != X1
| compose(X1,identity_relation_of(sK4)) != X1 ) )
=> ( ilf_type(sK5,identity_relation_of_type(sK4))
& ( compose(identity_relation_of(sK4),sK5) != sK5
| compose(sK5,identity_relation_of(sK4)) != sK5 ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
& ( compose(identity_relation_of(X0),X1) != X1
| compose(X1,identity_relation_of(X0)) != X1 ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(X1,identity_relation_of(X0)) = X1
& compose(identity_relation_of(X0),X1) = X1 ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(X1,identity_relation_of(X0)) = X1
& compose(identity_relation_of(X0),X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_45) ).
fof(f767,plain,
! [X0] : ~ ilf_type(sK5,identity_relation_of_type(X0)),
inference(resolution,[],[f765,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ),
inference(subsumption_resolution,[],[f228,f160]) ).
fof(f160,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38) ).
fof(f228,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ilf_type(X1,relation_type(X0,X0)) ),
inference(subsumption_resolution,[],[f156,f160]) ).
fof(f156,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ilf_type(X1,relation_type(X0,X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) )
& ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,relation_type(X0,X0))
<=> ilf_type(X1,identity_relation_of_type(X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,relation_type(X0,X0))
<=> ilf_type(X1,identity_relation_of_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f765,plain,
! [X0,X1] : ~ ilf_type(sK5,relation_type(X0,X1)),
inference(resolution,[],[f753,f299]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f298,f160]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f186,f160]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( ! [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)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,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',p15) ).
fof(f753,plain,
! [X0,X1] : ~ ilf_type(sK5,subset_type(cross_product(X0,X1))),
inference(resolution,[],[f752,f236]) ).
fof(f236,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f235,f160]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f184,f160]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,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,[],[f25]) ).
fof(f25,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',p25) ).
fof(f752,plain,
~ relation_like(sK5),
inference(resolution,[],[f751,f225]) ).
fof(f225,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f211,f160]) ).
fof(f211,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( ( ilf_type(X0,set_type)
& relation_like(X0) )
<=> ilf_type(X0,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ( ilf_type(X0,set_type)
& relation_like(X0) )
<=> ilf_type(X0,binary_relation_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f751,plain,
~ ilf_type(sK5,binary_relation_type),
inference(subsumption_resolution,[],[f750,f727]) ).
fof(f727,plain,
( ~ subset(domain_of(sK5),sK4)
| ~ ilf_type(sK5,binary_relation_type) ),
inference(trivial_inequality_removal,[],[f726]) ).
fof(f726,plain,
( ~ subset(domain_of(sK5),sK4)
| sK5 != sK5
| ~ ilf_type(sK5,binary_relation_type) ),
inference(superposition,[],[f723,f276]) ).
fof(f276,plain,
! [X0,X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) ),
inference(subsumption_resolution,[],[f147,f160]) ).
fof(f147,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| compose(identity_relation_of(X0),X1) = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ 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)
=> ( subset(domain_of(X1),X0)
=> compose(identity_relation_of(X0),X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f723,plain,
compose(identity_relation_of(sK4),sK5) != sK5,
inference(trivial_inequality_removal,[],[f716]) ).
fof(f716,plain,
( sK5 != sK5
| compose(identity_relation_of(sK4),sK5) != sK5 ),
inference(backward_demodulation,[],[f152,f711]) ).
fof(f711,plain,
compose(sK5,identity_relation_of(sK4)) = sK5,
inference(resolution,[],[f692,f153]) ).
fof(f692,plain,
! [X0] :
( ~ ilf_type(sK5,identity_relation_of_type(X0))
| compose(sK5,identity_relation_of(sK4)) = sK5 ),
inference(resolution,[],[f660,f229]) ).
fof(f660,plain,
! [X0,X1] :
( ~ ilf_type(sK5,relation_type(X0,X1))
| compose(sK5,identity_relation_of(sK4)) = sK5 ),
inference(resolution,[],[f602,f299]) ).
fof(f602,plain,
! [X0,X1] :
( ~ ilf_type(sK5,subset_type(cross_product(X0,X1)))
| compose(sK5,identity_relation_of(sK4)) = sK5 ),
inference(resolution,[],[f596,f236]) ).
fof(f596,plain,
( ~ relation_like(sK5)
| compose(sK5,identity_relation_of(sK4)) = sK5 ),
inference(resolution,[],[f585,f225]) ).
fof(f585,plain,
( ~ ilf_type(sK5,binary_relation_type)
| compose(sK5,identity_relation_of(sK4)) = sK5 ),
inference(subsumption_resolution,[],[f583,f279]) ).
fof(f279,plain,
! [X0,X1] :
( ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| compose(X1,identity_relation_of(X0)) = X1 ),
inference(subsumption_resolution,[],[f164,f160]) ).
fof(f164,plain,
! [X0,X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ ilf_type(X0,set_type)
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ subset(range_of(X1),X0)
| compose(X1,identity_relation_of(X0)) = X1 ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(range_of(X1),X0)
=> compose(X1,identity_relation_of(X0)) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f583,plain,
( subset(range_of(sK5),sK4)
| ~ ilf_type(sK5,binary_relation_type)
| compose(sK5,identity_relation_of(sK4)) = sK5 ),
inference(resolution,[],[f582,f281]) ).
fof(f281,plain,
! [X2,X1] :
( member(sK13(range_of(X1),X2),range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| compose(X1,identity_relation_of(X2)) = X1 ),
inference(resolution,[],[f279,f242]) ).
fof(f242,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK13(X0,X1),X0) ),
inference(subsumption_resolution,[],[f241,f160]) ).
fof(f241,plain,
! [X0,X1] :
( member(sK13(X0,X1),X0)
| subset(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f195,f160]) ).
fof(f195,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(sK13(X0,X1),X0)
| subset(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ( ilf_type(sK13(X0,X1),set_type)
& member(sK13(X0,X1),X0)
& ~ member(sK13(X0,X1),X1) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f127,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
=> ( ilf_type(sK13(X0,X1),set_type)
& member(sK13(X0,X1),X0)
& ~ member(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,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) )
| ~ subset(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,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) )
| ~ subset(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f85]) ).
fof(f85,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,[],[f19]) ).
fof(f19,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',p19) ).
fof(f582,plain,
! [X2] :
( ~ member(sK13(X2,sK4),range_of(sK5))
| subset(X2,sK4) ),
inference(resolution,[],[f578,f238]) ).
fof(f238,plain,
! [X0,X1] :
( ~ member(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f237,f160]) ).
fof(f237,plain,
! [X0,X1] :
( ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f194,f160]) ).
fof(f194,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| subset(X0,X1)
| ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f129]) ).
fof(f578,plain,
! [X3] :
( member(X3,sK4)
| ~ member(X3,range_of(sK5)) ),
inference(resolution,[],[f566,f153]) ).
fof(f566,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X2))
| member(X0,X2)
| ~ member(X0,range_of(X1)) ),
inference(resolution,[],[f412,f229]) ).
fof(f412,plain,
! [X11,X14,X12,X13] :
( ~ ilf_type(X13,relation_type(X14,X12))
| ~ member(X11,range_of(X13))
| member(X11,X12) ),
inference(resolution,[],[f386,f364]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ilf_type(range_of(X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range_of(X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(superposition,[],[f361,f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f313,f160]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| range(X0,X1,X2) = range_of(X2) ),
inference(subsumption_resolution,[],[f144,f160]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f361,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f360,f160]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(subsumption_resolution,[],[f171,f160]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) )
| ~ ilf_type(X1,set_type) ) ),
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))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35) ).
fof(f386,plain,
! [X2,X3,X4] :
( ~ ilf_type(X3,subset_type(X4))
| member(X2,X4)
| ~ member(X2,X3) ),
inference(resolution,[],[f384,f262]) ).
fof(f262,plain,
! [X0,X1] :
( member(X1,power_set(X0))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f259,f218]) ).
fof(f218,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f200,f160]) ).
fof(f200,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,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',p27) ).
fof(f259,plain,
! [X0,X1] :
( member(X1,power_set(X0))
| ~ ilf_type(X1,subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f258,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f253,f160]) ).
fof(f253,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f188,f160]) ).
fof(f188,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,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,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',p22) ).
fof(f258,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| member(X0,X1) ),
inference(subsumption_resolution,[],[f257,f160]) ).
fof(f257,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f190,f160]) ).
fof(f190,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| member(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) ) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(f384,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(subsumption_resolution,[],[f383,f160]) ).
fof(f383,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ member(X3,X0)
| member(X3,X1)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f382,f160]) ).
fof(f382,plain,
! [X3,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| member(X3,X1) ),
inference(subsumption_resolution,[],[f179,f160]) ).
fof(f179,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ( member(sK11(X0,X1),X0)
& ~ member(sK11(X0,X1),X1)
& ilf_type(sK11(X0,X1),set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f118,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1)
& ilf_type(X2,set_type) )
=> ( member(sK11(X0,X1),X0)
& ~ member(sK11(X0,X1),X1)
& ilf_type(sK11(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f44]) ).
fof(f44,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,[],[f26]) ).
fof(f26,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',p26) ).
fof(f152,plain,
( compose(sK5,identity_relation_of(sK4)) != sK5
| compose(identity_relation_of(sK4),sK5) != sK5 ),
inference(cnf_transformation,[],[f97]) ).
fof(f750,plain,
( subset(domain_of(sK5),sK4)
| ~ ilf_type(sK5,binary_relation_type) ),
inference(resolution,[],[f743,f224]) ).
fof(f224,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(subsumption_resolution,[],[f177,f160]) ).
fof(f177,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f743,plain,
( ~ relation_like(sK5)
| subset(domain_of(sK5),sK4) ),
inference(resolution,[],[f741,f238]) ).
fof(f741,plain,
( member(sK13(domain_of(sK5),sK4),sK4)
| ~ relation_like(sK5) ),
inference(resolution,[],[f738,f153]) ).
fof(f738,plain,
! [X0] :
( ~ ilf_type(sK5,identity_relation_of_type(X0))
| ~ relation_like(sK5)
| member(sK13(domain_of(sK5),sK4),X0) ),
inference(resolution,[],[f737,f229]) ).
fof(f737,plain,
! [X3,X4] :
( ~ ilf_type(sK5,relation_type(X3,X4))
| member(sK13(domain_of(sK5),sK4),X3)
| ~ relation_like(sK5) ),
inference(resolution,[],[f729,f411]) ).
fof(f411,plain,
! [X10,X8,X9,X7] :
( ~ member(X7,domain_of(X9))
| ~ ilf_type(X9,relation_type(X8,X10))
| member(X7,X8) ),
inference(resolution,[],[f386,f354]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ilf_type(domain_of(X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain_of(X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(superposition,[],[f351,f349]) ).
fof(f349,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f348,f160]) ).
fof(f348,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f150,f160]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(f351,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f350,f160]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ),
inference(subsumption_resolution,[],[f151,f160]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ 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))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f729,plain,
( member(sK13(domain_of(sK5),sK4),domain_of(sK5))
| ~ relation_like(sK5) ),
inference(resolution,[],[f728,f225]) ).
fof(f728,plain,
( ~ ilf_type(sK5,binary_relation_type)
| member(sK13(domain_of(sK5),sK4),domain_of(sK5)) ),
inference(resolution,[],[f727,f242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET678+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 14:13:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (7889)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)
% 0.20/0.51 % (7883)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)
% 0.20/0.51 % (7890)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)
% 0.20/0.51 % (7896)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (7898)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)
% 0.20/0.52 % (7892)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)
% 0.20/0.52 % (7883)Instruction limit reached!
% 0.20/0.52 % (7883)------------------------------
% 0.20/0.52 % (7883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7883)Termination reason: Unknown
% 0.20/0.52 % (7883)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (7883)Memory used [KB]: 6268
% 0.20/0.52 % (7883)Time elapsed: 0.104 s
% 0.20/0.52 % (7883)Instructions burned: 14 (million)
% 0.20/0.52 % (7883)------------------------------
% 0.20/0.52 % (7883)------------------------------
% 0.20/0.52 % (7886)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)
% 0.20/0.52 % (7882)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)
% 1.22/0.52 % (7899)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.22/0.52 % (7897)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.22/0.53 % (7897)Instruction limit reached!
% 1.22/0.53 % (7897)------------------------------
% 1.22/0.53 % (7897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (7897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (7897)Termination reason: Unknown
% 1.22/0.53 % (7897)Termination phase: Saturation
% 1.22/0.53
% 1.22/0.53 % (7897)Memory used [KB]: 1535
% 1.22/0.53 % (7897)Time elapsed: 0.003 s
% 1.22/0.53 % (7897)Instructions burned: 3 (million)
% 1.22/0.53 % (7897)------------------------------
% 1.22/0.53 % (7897)------------------------------
% 1.22/0.53 % (7884)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.22/0.53 % (7893)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)
% 1.22/0.53 % (7889)Refutation not found, incomplete strategy% (7889)------------------------------
% 1.22/0.53 % (7889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (7889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (7889)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.53
% 1.22/0.53 % (7889)Memory used [KB]: 6012
% 1.22/0.53 % (7889)Time elapsed: 0.134 s
% 1.22/0.53 % (7889)Instructions burned: 6 (million)
% 1.22/0.53 % (7889)------------------------------
% 1.22/0.53 % (7889)------------------------------
% 1.22/0.53 % (7887)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)
% 1.22/0.53 % (7896)Instruction limit reached!
% 1.22/0.53 % (7896)------------------------------
% 1.22/0.53 % (7896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (7896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (7896)Termination reason: Unknown
% 1.22/0.53 % (7896)Termination phase: Finite model building preprocessing
% 1.22/0.53
% 1.22/0.53 % (7896)Memory used [KB]: 1535
% 1.22/0.53 % (7896)Time elapsed: 0.003 s
% 1.22/0.53 % (7896)Instructions burned: 5 (million)
% 1.22/0.53 % (7896)------------------------------
% 1.22/0.53 % (7896)------------------------------
% 1.22/0.53 % (7893)Instruction limit reached!
% 1.22/0.53 % (7893)------------------------------
% 1.22/0.53 % (7893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (7893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (7893)Termination reason: Unknown
% 1.22/0.53 % (7893)Termination phase: Saturation
% 1.22/0.53
% 1.22/0.53 % (7893)Memory used [KB]: 1535
% 1.22/0.53 % (7893)Time elapsed: 0.003 s
% 1.22/0.53 % (7893)Instructions burned: 5 (million)
% 1.22/0.53 % (7893)------------------------------
% 1.22/0.53 % (7893)------------------------------
% 1.22/0.53 % (7904)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)
% 1.22/0.53 % (7910)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.22/0.53 % (7911)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.22/0.53 % (7881)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)
% 1.22/0.53 % (7890)Instruction limit reached!
% 1.22/0.53 % (7890)------------------------------
% 1.22/0.53 % (7890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (7898)Instruction limit reached!
% 1.22/0.53 % (7898)------------------------------
% 1.22/0.53 % (7898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (7898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (7890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (7898)Termination reason: Unknown
% 1.22/0.53 % (7890)Termination reason: Unknown
% 1.22/0.53 % (7898)Termination phase: Saturation
% 1.22/0.53
% 1.22/0.53 % (7890)Termination phase: Saturation
% 1.22/0.53
% 1.22/0.53 % (7898)Memory used [KB]: 6268
% 1.22/0.53 % (7890)Memory used [KB]: 6012
% 1.22/0.53 % (7898)Time elapsed: 0.129 s
% 1.22/0.53 % (7890)Time elapsed: 0.008 s
% 1.22/0.53 % (7898)Instructions burned: 11 (million)
% 1.22/0.53 % (7890)Instructions burned: 8 (million)
% 1.22/0.53 % (7898)------------------------------
% 1.22/0.53 % (7898)------------------------------
% 1.22/0.53 % (7890)------------------------------
% 1.22/0.53 % (7890)------------------------------
% 1.22/0.53 % (7910)Refutation not found, incomplete strategy% (7910)------------------------------
% 1.22/0.53 % (7910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (7910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (7910)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.53
% 1.22/0.53 % (7910)Memory used [KB]: 6140
% 1.22/0.53 % (7910)Time elapsed: 0.120 s
% 1.22/0.53 % (7910)Instructions burned: 7 (million)
% 1.22/0.53 % (7910)------------------------------
% 1.22/0.53 % (7910)------------------------------
% 1.22/0.54 % (7880)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.22/0.54 % (7891)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)
% 1.22/0.54 % (7880)Refutation not found, incomplete strategy% (7880)------------------------------
% 1.22/0.54 % (7880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.54 % (7880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.54 % (7880)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.54
% 1.22/0.54 % (7880)Memory used [KB]: 6012
% 1.22/0.54 % (7880)Time elapsed: 0.110 s
% 1.22/0.54 % (7880)Instructions burned: 3 (million)
% 1.22/0.54 % (7880)------------------------------
% 1.22/0.54 % (7880)------------------------------
% 1.22/0.54 % (7903)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)
% 1.22/0.54 % (7881)Instruction limit reached!
% 1.22/0.54 % (7881)------------------------------
% 1.22/0.54 % (7881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.54 % (7905)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)
% 1.43/0.54 % (7908)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.43/0.54 % (7902)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)
% 1.43/0.54 % (7885)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.43/0.54 % (7881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (7881)Termination reason: Unknown
% 1.43/0.54 % (7881)Termination phase: Property scanning
% 1.43/0.54
% 1.43/0.54 % (7881)Memory used [KB]: 1535
% 1.43/0.54 % (7881)Time elapsed: 0.005 s
% 1.43/0.54 % (7881)Instructions burned: 4 (million)
% 1.43/0.54 % (7881)------------------------------
% 1.43/0.54 % (7881)------------------------------
% 1.43/0.55 % (7888)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)
% 1.43/0.55 % (7900)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.43/0.55 % (7907)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.43/0.55 % (7891)Instruction limit reached!
% 1.43/0.55 % (7891)------------------------------
% 1.43/0.55 % (7891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (7891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (7891)Termination reason: Unknown
% 1.43/0.55 % (7891)Termination phase: Saturation
% 1.43/0.55
% 1.43/0.55 % (7891)Memory used [KB]: 1791
% 1.43/0.55 % (7891)Time elapsed: 0.129 s
% 1.43/0.55 % (7891)Instructions burned: 16 (million)
% 1.43/0.55 % (7891)------------------------------
% 1.43/0.55 % (7891)------------------------------
% 1.43/0.55 % (7884)Instruction limit reached!
% 1.43/0.55 % (7884)------------------------------
% 1.43/0.55 % (7884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56 % (7879)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.43/0.56 % (7895)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)
% 1.43/0.56 % (7884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56 % (7884)Termination reason: Unknown
% 1.43/0.56 % (7884)Termination phase: Saturation
% 1.43/0.56
% 1.43/0.56 % (7884)Memory used [KB]: 1663
% 1.43/0.56 % (7899)Instruction limit reached!
% 1.43/0.56 % (7899)------------------------------
% 1.43/0.56 % (7899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56 % (7899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56 % (7899)Termination reason: Unknown
% 1.43/0.56 % (7899)Termination phase: Saturation
% 1.43/0.56
% 1.43/0.56 % (7899)Memory used [KB]: 6268
% 1.43/0.56 % (7899)Time elapsed: 0.157 s
% 1.43/0.56 % (7899)Instructions burned: 32 (million)
% 1.43/0.56 % (7899)------------------------------
% 1.43/0.56 % (7899)------------------------------
% 1.43/0.56 % (7884)Time elapsed: 0.127 s
% 1.43/0.56 % (7884)Instructions burned: 15 (million)
% 1.43/0.56 % (7884)------------------------------
% 1.43/0.56 % (7884)------------------------------
% 1.43/0.56 % (7894)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)
% 1.43/0.57 % (7911)Instruction limit reached!
% 1.43/0.57 % (7911)------------------------------
% 1.43/0.57 % (7911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.57 % (7895)Refutation not found, incomplete strategy% (7895)------------------------------
% 1.43/0.57 % (7895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.57 % (7908)Instruction limit reached!
% 1.43/0.57 % (7908)------------------------------
% 1.43/0.57 % (7908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.57 % (7908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.57 % (7908)Termination reason: Unknown
% 1.43/0.57 % (7908)Termination phase: Saturation
% 1.43/0.57
% 1.43/0.57 % (7908)Memory used [KB]: 6396
% 1.43/0.57 % (7908)Time elapsed: 0.157 s
% 1.43/0.57 % (7908)Instructions burned: 25 (million)
% 1.43/0.57 % (7908)------------------------------
% 1.43/0.57 % (7908)------------------------------
% 1.43/0.57 % (7894)Instruction limit reached!
% 1.43/0.57 % (7894)------------------------------
% 1.43/0.57 % (7894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.57 % (7894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.57 % (7894)Termination reason: Unknown
% 1.43/0.57 % (7894)Termination phase: Saturation
% 1.43/0.57
% 1.43/0.57 % (7894)Memory used [KB]: 6012
% 1.43/0.57 % (7894)Time elapsed: 0.167 s
% 1.43/0.57 % (7894)Instructions burned: 8 (million)
% 1.43/0.57 % (7894)------------------------------
% 1.43/0.57 % (7894)------------------------------
% 1.43/0.58 % (7895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.58 % (7895)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.58
% 1.43/0.58 % (7895)Memory used [KB]: 6140
% 1.43/0.58 % (7895)Time elapsed: 0.155 s
% 1.43/0.58 % (7895)Instructions burned: 7 (million)
% 1.43/0.58 % (7895)------------------------------
% 1.43/0.58 % (7895)------------------------------
% 1.43/0.58 % (7885)Instruction limit reached!
% 1.43/0.58 % (7885)------------------------------
% 1.43/0.58 % (7885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.58 % (7885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.58 % (7885)Termination reason: Unknown
% 1.43/0.58 % (7885)Termination phase: Saturation
% 1.43/0.58
% 1.43/0.58 % (7885)Memory used [KB]: 6396
% 1.43/0.58 % (7885)Time elapsed: 0.136 s
% 1.43/0.58 % (7885)Instructions burned: 41 (million)
% 1.43/0.58 % (7885)------------------------------
% 1.43/0.58 % (7885)------------------------------
% 1.43/0.59 % (7911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.59 % (7911)Termination reason: Unknown
% 1.43/0.59 % (7911)Termination phase: Saturation
% 1.43/0.59
% 1.43/0.59 % (7911)Memory used [KB]: 6396
% 1.43/0.59 % (7911)Time elapsed: 0.164 s
% 1.43/0.59 % (7911)Instructions burned: 24 (million)
% 1.43/0.59 % (7911)------------------------------
% 1.43/0.59 % (7911)------------------------------
% 1.43/0.59 % (7882)Instruction limit reached!
% 1.43/0.59 % (7882)------------------------------
% 1.43/0.59 % (7882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.59 % (7882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.59 % (7882)Termination reason: Unknown
% 1.43/0.59 % (7882)Termination phase: Saturation
% 1.43/0.59
% 1.43/0.59 % (7882)Memory used [KB]: 6652
% 1.43/0.59 % (7882)Time elapsed: 0.180 s
% 1.43/0.59 % (7882)Instructions burned: 53 (million)
% 1.43/0.59 % (7882)------------------------------
% 1.43/0.59 % (7882)------------------------------
% 1.43/0.59 % (7903)Instruction limit reached!
% 1.43/0.59 % (7903)------------------------------
% 1.43/0.59 % (7903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.59 % (7886)Instruction limit reached!
% 1.43/0.59 % (7886)------------------------------
% 1.43/0.59 % (7886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.60 % (7886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.60 % (7886)Termination reason: Unknown
% 1.43/0.60 % (7886)Termination phase: Saturation
% 1.43/0.60
% 1.43/0.60 % (7886)Memory used [KB]: 6652
% 1.43/0.60 % (7886)Time elapsed: 0.161 s
% 1.43/0.60 % (7886)Instructions burned: 40 (million)
% 1.43/0.60 % (7886)------------------------------
% 1.43/0.60 % (7886)------------------------------
% 1.43/0.61 % (7904)Instruction limit reached!
% 1.43/0.61 % (7904)------------------------------
% 1.43/0.61 % (7904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.61 % (7892)Instruction limit reached!
% 1.43/0.61 % (7892)------------------------------
% 1.43/0.61 % (7892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.61 % (7892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.61 % (7892)Termination reason: Unknown
% 1.43/0.61 % (7892)Termination phase: Saturation
% 1.43/0.61
% 1.43/0.61 % (7892)Memory used [KB]: 7164
% 1.43/0.61 % (7892)Time elapsed: 0.190 s
% 1.43/0.61 % (7892)Instructions burned: 51 (million)
% 1.43/0.61 % (7892)------------------------------
% 1.43/0.61 % (7892)------------------------------
% 1.43/0.61 % (7904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.61 % (7904)Termination reason: Unknown
% 1.43/0.61 % (7904)Termination phase: Saturation
% 1.43/0.61
% 1.43/0.61 % (7904)Memory used [KB]: 6652
% 1.43/0.61 % (7904)Time elapsed: 0.199 s
% 1.43/0.61 % (7904)Instructions burned: 50 (million)
% 1.43/0.61 % (7904)------------------------------
% 1.43/0.61 % (7904)------------------------------
% 1.43/0.61 % (7903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.61 % (7903)Termination reason: Unknown
% 1.43/0.61 % (7903)Termination phase: Saturation
% 1.43/0.61
% 1.43/0.61 % (7903)Memory used [KB]: 2046
% 1.43/0.61 % (7903)Time elapsed: 0.135 s
% 1.43/0.61 % (7903)Instructions burned: 46 (million)
% 1.43/0.61 % (7903)------------------------------
% 1.43/0.61 % (7903)------------------------------
% 1.43/0.62 % (7888)Instruction limit reached!
% 1.43/0.62 % (7888)------------------------------
% 1.43/0.62 % (7888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.62 % (7888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.62 % (7888)Termination reason: Unknown
% 1.43/0.62 % (7888)Termination phase: Saturation
% 1.43/0.62
% 1.43/0.62 % (7888)Memory used [KB]: 6652
% 1.43/0.62 % (7888)Time elapsed: 0.216 s
% 1.43/0.62 % (7888)Instructions burned: 33 (million)
% 1.43/0.62 % (7888)------------------------------
% 1.43/0.62 % (7888)------------------------------
% 1.43/0.63 % (7966)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.43/0.63 % (7887)Instruction limit reached!
% 1.43/0.63 % (7887)------------------------------
% 1.43/0.63 % (7887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.64 % (7966)Refutation not found, incomplete strategy% (7966)------------------------------
% 1.97/0.64 % (7966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.65 % (7966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.65 % (7966)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.65
% 1.97/0.65 % (7966)Memory used [KB]: 6012
% 1.97/0.65 % (7966)Time elapsed: 0.064 s
% 1.97/0.65 % (7966)Instructions burned: 3 (million)
% 1.97/0.65 % (7966)------------------------------
% 1.97/0.65 % (7966)------------------------------
% 1.97/0.65 % (7970)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.97/0.65 % (7887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.65 % (7887)Termination reason: Unknown
% 1.97/0.65 % (7887)Termination phase: Saturation
% 1.97/0.65
% 1.97/0.65 % (7887)Memory used [KB]: 6652
% 1.97/0.65 % (7887)Time elapsed: 0.214 s
% 1.97/0.65 % (7887)Instructions burned: 50 (million)
% 1.97/0.65 % (7887)------------------------------
% 1.97/0.65 % (7887)------------------------------
% 1.97/0.66 % (7969)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.97/0.66 % (7976)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 1.97/0.66 % (7969)Refutation not found, incomplete strategy% (7969)------------------------------
% 1.97/0.66 % (7969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.66 % (7969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.66 % (7969)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.66
% 1.97/0.66 % (7969)Memory used [KB]: 6012
% 1.97/0.66 % (7969)Time elapsed: 0.091 s
% 1.97/0.66 % (7969)Instructions burned: 2 (million)
% 1.97/0.66 % (7969)------------------------------
% 1.97/0.66 % (7969)------------------------------
% 1.97/0.67 % (7977)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 1.97/0.67 % (7986)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 1.97/0.67 % (7972)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.97/0.67 % (7982)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 1.97/0.67 % (7968)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.97/0.67 % (7968)Refutation not found, incomplete strategy% (7968)------------------------------
% 1.97/0.67 % (7968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.67 % (7968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.67 % (7968)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.67
% 1.97/0.67 % (7968)Memory used [KB]: 10362
% 1.97/0.67 % (7968)Time elapsed: 0.105 s
% 1.97/0.67 % (7968)Instructions burned: 2 (million)
% 1.97/0.67 % (7968)------------------------------
% 1.97/0.67 % (7968)------------------------------
% 1.97/0.68 % (7974)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 1.97/0.68 % (7980)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 1.97/0.68 % (7980)Refutation not found, incomplete strategy% (7980)------------------------------
% 1.97/0.68 % (7980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.68 % (7980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.68 % (7980)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.68
% 1.97/0.68 % (7980)Memory used [KB]: 6012
% 1.97/0.68 % (7980)Time elapsed: 0.096 s
% 1.97/0.68 % (7980)Instructions burned: 5 (million)
% 1.97/0.68 % (7980)------------------------------
% 1.97/0.68 % (7980)------------------------------
% 1.97/0.69 % (7993)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.97/0.69 % (7982)Refutation not found, incomplete strategy% (7982)------------------------------
% 1.97/0.69 % (7982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.69 % (7982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.69 % (7982)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.69
% 1.97/0.69 % (7982)Memory used [KB]: 6140
% 1.97/0.69 % (7982)Time elapsed: 0.095 s
% 1.97/0.69 % (7982)Instructions burned: 8 (million)
% 1.97/0.69 % (7982)------------------------------
% 1.97/0.69 % (7982)------------------------------
% 1.97/0.69 % (7902)Instruction limit reached!
% 1.97/0.69 % (7902)------------------------------
% 1.97/0.69 % (7902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.69 % (7902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.69 % (7902)Termination reason: Unknown
% 1.97/0.69 % (7902)Termination phase: Saturation
% 1.97/0.69
% 1.97/0.69 % (7902)Memory used [KB]: 7803
% 1.97/0.69 % (7902)Time elapsed: 0.263 s
% 1.97/0.69 % (7902)Instructions burned: 83 (million)
% 1.97/0.69 % (7902)------------------------------
% 1.97/0.69 % (7902)------------------------------
% 2.23/0.69 % (7907)Instruction limit reached!
% 2.23/0.69 % (7907)------------------------------
% 2.23/0.69 % (7907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69 % (7907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69 % (7907)Termination reason: Unknown
% 2.23/0.69 % (7907)Termination phase: Saturation
% 2.23/0.69
% 2.23/0.69 % (7907)Memory used [KB]: 7036
% 2.23/0.69 % (7907)Time elapsed: 0.289 s
% 2.23/0.69 % (7907)Instructions burned: 99 (million)
% 2.23/0.69 % (7907)------------------------------
% 2.23/0.69 % (7907)------------------------------
% 2.23/0.69 % (7981)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.23/0.70 % (7995)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.23/0.70 % (7987)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.23/0.70 % (7900)Instruction limit reached!
% 2.23/0.70 % (7900)------------------------------
% 2.23/0.70 % (7900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70 % (7900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (7900)Termination reason: Unknown
% 2.23/0.70 % (7900)Termination phase: Saturation
% 2.23/0.70
% 2.23/0.70 % (7900)Memory used [KB]: 7164
% 2.23/0.70 % (7900)Time elapsed: 0.282 s
% 2.23/0.70 % (7900)Instructions burned: 99 (million)
% 2.23/0.70 % (7900)------------------------------
% 2.23/0.70 % (7900)------------------------------
% 2.23/0.71 % (7996)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.23/0.71 % (7998)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.23/0.71 % (7994)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.23/0.71 % (7999)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.23/0.73 % (8007)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.23/0.73 % (7994)Refutation not found, incomplete strategy% (7994)------------------------------
% 2.23/0.73 % (7994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73 % (7994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.73 % (7994)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.73
% 2.23/0.73 % (7994)Memory used [KB]: 6012
% 2.23/0.73 % (7994)Time elapsed: 0.118 s
% 2.23/0.73 % (7994)Instructions burned: 6 (million)
% 2.23/0.73 % (7994)------------------------------
% 2.23/0.73 % (7994)------------------------------
% 2.23/0.73 % (7995)Refutation not found, incomplete strategy% (7995)------------------------------
% 2.23/0.73 % (7995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73 % (7995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.73 % (7995)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.73
% 2.23/0.73 % (7995)Memory used [KB]: 6012
% 2.23/0.73 % (7995)Time elapsed: 0.093 s
% 2.23/0.73 % (7995)Instructions burned: 4 (million)
% 2.23/0.73 % (7995)------------------------------
% 2.23/0.73 % (7995)------------------------------
% 2.23/0.73 % (8005)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.23/0.73 % (7905)Instruction limit reached!
% 2.23/0.73 % (7905)------------------------------
% 2.23/0.73 % (7905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73 % (7905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.73 % (7905)Termination reason: Unknown
% 2.23/0.73 % (7905)Termination phase: Saturation
% 2.23/0.73
% 2.23/0.73 % (7905)Memory used [KB]: 8059
% 2.23/0.73 % (7905)Time elapsed: 0.327 s
% 2.23/0.73 % (7905)Instructions burned: 96 (million)
% 2.23/0.73 % (7905)------------------------------
% 2.23/0.73 % (7905)------------------------------
% 2.23/0.74 % (7977)Instruction limit reached!
% 2.23/0.74 % (7977)------------------------------
% 2.23/0.74 % (7977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.74 % (7977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.74 % (7977)Termination reason: Unknown
% 2.23/0.74 % (7977)Termination phase: Saturation
% 2.23/0.74
% 2.23/0.74 % (7977)Memory used [KB]: 6652
% 2.23/0.74 % (7977)Time elapsed: 0.156 s
% 2.23/0.74 % (7977)Instructions burned: 42 (million)
% 2.23/0.74 % (7977)------------------------------
% 2.23/0.74 % (7977)------------------------------
% 2.23/0.74 % (8012)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.23/0.74 % (7972)First to succeed.
% 2.23/0.74 % (8007)Refutation not found, incomplete strategy% (8007)------------------------------
% 2.23/0.74 % (8007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.74 % (8007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.74 % (8007)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.74
% 2.23/0.74 % (8007)Memory used [KB]: 5884
% 2.23/0.74 % (8007)Time elapsed: 0.106 s
% 2.23/0.74 % (8007)Instructions burned: 2 (million)
% 2.23/0.74 % (8007)------------------------------
% 2.23/0.74 % (8007)------------------------------
% 2.23/0.75 % (8011)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.46/0.75 % (7972)Refutation found. Thanks to Tanya!
% 2.46/0.75 % SZS status Theorem for theBenchmark
% 2.46/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.75 % (7972)------------------------------
% 2.46/0.75 % (7972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.75 % (7972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.75 % (7972)Termination reason: Refutation
% 2.46/0.75
% 2.46/0.75 % (7972)Memory used [KB]: 2046
% 2.46/0.75 % (7972)Time elapsed: 0.171 s
% 2.46/0.75 % (7972)Instructions burned: 48 (million)
% 2.46/0.75 % (7972)------------------------------
% 2.46/0.75 % (7972)------------------------------
% 2.46/0.75 % (7873)Success in time 0.379 s
%------------------------------------------------------------------------------