TSTP Solution File: SEU265+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU265+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:28:06 EDT 2022
% Result : Theorem 2.69s 0.75s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 32
% Syntax : Number of formulae : 162 ( 19 unt; 0 def)
% Number of atoms : 478 ( 71 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 514 ( 198 ~; 213 |; 55 &)
% ( 17 <=>; 29 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 311 ( 264 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1062,plain,
$false,
inference(avatar_sat_refutation,[],[f177,f197,f205,f209,f215,f552,f562,f582,f1059]) ).
fof(f1059,plain,
( spl14_4
| spl14_6
| ~ spl14_7 ),
inference(avatar_contradiction_clause,[],[f1058]) ).
fof(f1058,plain,
( $false
| spl14_4
| spl14_6
| ~ spl14_7 ),
inference(subsumption_resolution,[],[f1043,f735]) ).
fof(f735,plain,
( in(sK0(relation_dom(sK2),sK3),sK3)
| spl14_4
| spl14_6 ),
inference(subsumption_resolution,[],[f731,f204]) ).
fof(f204,plain,
( sK3 != relation_dom(sK2)
| spl14_6 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl14_6
<=> sK3 = relation_dom(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f731,plain,
( sK3 = relation_dom(sK2)
| in(sK0(relation_dom(sK2),sK3),sK3)
| spl14_4 ),
inference(factoring,[],[f687]) ).
fof(f687,plain,
( ! [X1] :
( in(sK0(relation_dom(sK2),X1),X1)
| in(sK0(relation_dom(sK2),X1),sK3)
| relation_dom(sK2) = X1 )
| spl14_4 ),
inference(resolution,[],[f664,f117]) ).
fof(f117,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK0(X0,X1),X1)
| ~ in(sK0(X0,X1),X0) )
& ( in(sK0(X0,X1),X1)
| in(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK0(X0,X1),X1)
| ~ in(sK0(X0,X1),X0) )
& ( in(sK0(X0,X1),X1)
| in(sK0(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X0)
| ~ in(X2,X1) )
& ( in(X2,X0)
| in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( X0 = X1
| ? [X2] :
( in(X2,X1)
<~> in(X2,X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
<=> in(X2,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f664,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sK2))
| in(X0,sK3) )
| spl14_4 ),
inference(subsumption_resolution,[],[f270,f196]) ).
fof(f196,plain,
( ~ empty(sK3)
| spl14_4 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl14_4
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f270,plain,
! [X0] :
( empty(sK3)
| ~ in(X0,relation_dom(sK2))
| in(X0,sK3) ),
inference(resolution,[],[f187,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ element(X1,X0)
| empty(X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( in(X1,X0)
| ~ element(X1,X0)
| empty(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( element(X1,X0)
=> ( empty(X0)
| in(X1,X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f187,plain,
! [X0] :
( element(X0,sK3)
| ~ in(X0,relation_dom(sK2)) ),
inference(resolution,[],[f183,f134]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| element(X2,X0)
| ~ in(X2,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( element(X2,X0)
| ~ element(X1,powerset(X0))
| ~ in(X2,X1) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( element(X1,X2)
| ~ element(X0,powerset(X2))
| ~ in(X1,X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X2,X1,X0] :
( element(X1,X2)
| ~ element(X0,powerset(X2))
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X2,X1,X0] :
( ( element(X0,powerset(X2))
& in(X1,X0) )
=> element(X1,X2) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f183,plain,
element(relation_dom(sK2),powerset(sK3)),
inference(backward_demodulation,[],[f182,f179]) ).
fof(f179,plain,
relation_dom_as_subset(sK3,sK4,sK2) = relation_dom(sK2),
inference(unit_resulting_resolution,[],[f165,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X2,X1,X0] :
( ~ relation_of2(X0,X2,X1)
| relation_dom(X0) = relation_dom_as_subset(X2,X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( relation_of2(X0,X2,X1)
=> relation_dom(X0) = relation_dom_as_subset(X2,X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X2,X1,X0] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f165,plain,
relation_of2(sK2,sK3,sK4),
inference(unit_resulting_resolution,[],[f128,f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X2,X1)
| relation_of2(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X0,X2,X1)
| ~ relation_of2(X0,X2,X1) )
& ( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X1,X0,X2] :
( ( relation_of2_as_subset(X1,X2,X0)
| ~ relation_of2(X1,X2,X0) )
& ( relation_of2(X1,X2,X0)
| ~ relation_of2_as_subset(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2] :
( relation_of2_as_subset(X1,X2,X0)
<=> relation_of2(X1,X2,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X2,X0] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f128,plain,
relation_of2_as_subset(sK2,sK3,sK4),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( relation_of2_as_subset(sK2,sK3,sK4)
& ( relation_dom_as_subset(sK3,sK4,sK2) != sK3
| ( in(sK5,sK3)
& ! [X4] : ~ in(ordered_pair(sK5,X4),sK2) ) )
& ( relation_dom_as_subset(sK3,sK4,sK2) = sK3
| ! [X5] :
( ~ in(X5,sK3)
| in(ordered_pair(X5,sK6(X5)),sK2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f87,f90,f89,f88]) ).
fof(f88,plain,
( ? [X0,X1,X2] :
( relation_of2_as_subset(X0,X1,X2)
& ( relation_dom_as_subset(X1,X2,X0) != X1
| ? [X3] :
( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X0) ) )
& ( relation_dom_as_subset(X1,X2,X0) = X1
| ! [X5] :
( ~ in(X5,X1)
| ? [X6] : in(ordered_pair(X5,X6),X0) ) ) )
=> ( relation_of2_as_subset(sK2,sK3,sK4)
& ( relation_dom_as_subset(sK3,sK4,sK2) != sK3
| ? [X3] :
( in(X3,sK3)
& ! [X4] : ~ in(ordered_pair(X3,X4),sK2) ) )
& ( relation_dom_as_subset(sK3,sK4,sK2) = sK3
| ! [X5] :
( ~ in(X5,sK3)
| ? [X6] : in(ordered_pair(X5,X6),sK2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X3] :
( in(X3,sK3)
& ! [X4] : ~ in(ordered_pair(X3,X4),sK2) )
=> ( in(sK5,sK3)
& ! [X4] : ~ in(ordered_pair(sK5,X4),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X5] :
( ? [X6] : in(ordered_pair(X5,X6),sK2)
=> in(ordered_pair(X5,sK6(X5)),sK2) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0,X1,X2] :
( relation_of2_as_subset(X0,X1,X2)
& ( relation_dom_as_subset(X1,X2,X0) != X1
| ? [X3] :
( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X0) ) )
& ( relation_dom_as_subset(X1,X2,X0) = X1
| ! [X5] :
( ~ in(X5,X1)
| ? [X6] : in(ordered_pair(X5,X6),X0) ) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
? [X0,X1,X2] :
( relation_of2_as_subset(X0,X1,X2)
& ( relation_dom_as_subset(X1,X2,X0) != X1
| ? [X3] :
( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X0) ) )
& ( relation_dom_as_subset(X1,X2,X0) = X1
| ! [X3] :
( ~ in(X3,X1)
| ? [X4] : in(ordered_pair(X3,X4),X0) ) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
? [X0,X1,X2] :
( relation_of2_as_subset(X0,X1,X2)
& ( relation_dom_as_subset(X1,X2,X0) != X1
| ? [X3] :
( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X0) ) )
& ( relation_dom_as_subset(X1,X2,X0) = X1
| ! [X3] :
( ~ in(X3,X1)
| ? [X4] : in(ordered_pair(X3,X4),X0) ) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
? [X0,X1,X2] :
( relation_of2_as_subset(X0,X1,X2)
& ( ! [X3] :
( ~ in(X3,X1)
| ? [X4] : in(ordered_pair(X3,X4),X0) )
<~> relation_dom_as_subset(X1,X2,X0) = X1 ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ! [X1,X2,X0] :
( relation_of2_as_subset(X0,X1,X2)
=> ( ! [X3] :
~ ( in(X3,X1)
& ! [X4] : ~ in(ordered_pair(X3,X4),X0) )
<=> relation_dom_as_subset(X1,X2,X0) = X1 ) ),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X2,X1,X0] :
( relation_of2_as_subset(X2,X1,X0)
=> ( relation_dom_as_subset(X1,X0,X2) = X1
<=> ! [X3] :
~ ( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X2,X1,X0] :
( relation_of2_as_subset(X2,X1,X0)
=> ( relation_dom_as_subset(X1,X0,X2) = X1
<=> ! [X3] :
~ ( ! [X4] : ~ in(ordered_pair(X3,X4),X2)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_relset_1) ).
fof(f182,plain,
element(relation_dom_as_subset(sK3,sK4,sK2),powerset(sK3)),
inference(resolution,[],[f165,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ relation_of2(X0,X1,X2)
| element(relation_dom_as_subset(X1,X2,X0),powerset(X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( element(relation_dom_as_subset(X1,X2,X0),powerset(X1))
| ~ relation_of2(X0,X1,X2) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X2,X1,X0] :
( element(relation_dom_as_subset(X1,X0,X2),powerset(X1))
| ~ relation_of2(X2,X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X2,X0] :
( relation_of2(X2,X1,X0)
=> element(relation_dom_as_subset(X1,X0,X2),powerset(X1)) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( relation_of2(X2,X0,X1)
=> element(relation_dom_as_subset(X0,X1,X2),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relset_1) ).
fof(f1043,plain,
( ~ in(sK0(relation_dom(sK2),sK3),sK3)
| spl14_4
| spl14_6
| ~ spl14_7 ),
inference(unit_resulting_resolution,[],[f842,f208]) ).
fof(f208,plain,
( ! [X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,sK6(X5))),sK2)
| ~ in(X5,sK3) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl14_7
<=> ! [X5] :
( ~ in(X5,sK3)
| in(unordered_pair(singleton(X5),unordered_pair(X5,sK6(X5))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f842,plain,
( ! [X0] : ~ in(unordered_pair(singleton(sK0(relation_dom(sK2),sK3)),unordered_pair(sK0(relation_dom(sK2),sK3),X0)),sK2)
| spl14_4
| spl14_6 ),
inference(forward_demodulation,[],[f840,f146]) ).
fof(f146,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f840,plain,
( ! [X0] : ~ in(unordered_pair(unordered_pair(sK0(relation_dom(sK2),sK3),X0),singleton(sK0(relation_dom(sK2),sK3))),sK2)
| spl14_4
| spl14_6 ),
inference(unit_resulting_resolution,[],[f389,f758,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(definition_unfolding,[],[f136,f122]) ).
fof(f122,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X2,X0] :
( ~ relation(X0)
| ( in(X2,relation_rng(X0))
& in(X1,relation_dom(X0)) )
| ~ in(ordered_pair(X1,X2),X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X2,X1] :
( ( in(X2,relation_rng(X0))
& in(X1,relation_dom(X0)) )
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X2,X1] :
( relation(X0)
=> ( in(ordered_pair(X1,X2),X0)
=> ( in(X2,relation_rng(X0))
& in(X1,relation_dom(X0)) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X2,X0,X1] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f758,plain,
( ~ in(sK0(relation_dom(sK2),sK3),relation_dom(sK2))
| spl14_4
| spl14_6 ),
inference(subsumption_resolution,[],[f755,f204]) ).
fof(f755,plain,
( sK3 = relation_dom(sK2)
| ~ in(sK0(relation_dom(sK2),sK3),relation_dom(sK2))
| spl14_4
| spl14_6 ),
inference(resolution,[],[f735,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| X0 = X1
| ~ in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f389,plain,
relation(sK2),
inference(resolution,[],[f166,f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(cartesian_product2(X2,X1)))
| relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(cartesian_product2(X2,X1)))
| relation(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0,X2] :
( ~ element(X1,powerset(cartesian_product2(X2,X0)))
| relation(X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( element(X1,powerset(cartesian_product2(X2,X0)))
=> relation(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f166,plain,
element(sK2,powerset(cartesian_product2(sK3,sK4))),
inference(unit_resulting_resolution,[],[f128,f143]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X1,X2,X0)
| element(X1,powerset(cartesian_product2(X2,X0))) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( element(X1,powerset(cartesian_product2(X2,X0)))
| ~ relation_of2_as_subset(X1,X2,X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0,X2,X1] :
( element(X2,powerset(cartesian_product2(X1,X0)))
| ~ relation_of2_as_subset(X2,X1,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X1,X0)
=> element(X2,powerset(cartesian_product2(X1,X0))) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f582,plain,
( ~ spl14_2
| ~ spl14_5
| ~ spl14_6 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f580,f200]) ).
fof(f200,plain,
( ! [X4] : ~ in(unordered_pair(singleton(sK5),unordered_pair(sK5,X4)),sK2)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl14_5
<=> ! [X4] : ~ in(unordered_pair(singleton(sK5),unordered_pair(sK5,X4)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f580,plain,
( in(unordered_pair(singleton(sK5),unordered_pair(sK5,sK13(sK2,sK5))),sK2)
| ~ spl14_2
| ~ spl14_6 ),
inference(forward_demodulation,[],[f579,f146]) ).
fof(f579,plain,
( in(unordered_pair(unordered_pair(sK5,sK13(sK2,sK5)),singleton(sK5)),sK2)
| ~ spl14_2
| ~ spl14_6 ),
inference(unit_resulting_resolution,[],[f176,f389,f203,f160]) ).
fof(f160,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK13(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| ~ relation(X0)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f149,f122]) ).
fof(f149,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK13(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ~ in(sK11(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(sK11(X0,X1),X3),X0) )
& ( in(sK11(X0,X1),X1)
| in(ordered_pair(sK11(X0,X1),sK12(X0,X1)),X0) ) ) )
& ( ! [X5] :
( ( in(ordered_pair(X5,sK13(X0,X5)),X0)
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] : ~ in(ordered_pair(X5,X7),X0) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f110,f113,f112,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(X2,X1)
| ? [X4] : in(ordered_pair(X2,X4),X0) ) )
=> ( ( ~ in(sK11(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(sK11(X0,X1),X3),X0) )
& ( in(sK11(X0,X1),X1)
| ? [X4] : in(ordered_pair(sK11(X0,X1),X4),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK11(X0,X1),X4),X0)
=> in(ordered_pair(sK11(X0,X1),sK12(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0,X5] :
( ? [X6] : in(ordered_pair(X5,X6),X0)
=> in(ordered_pair(X5,sK13(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(X2,X1)
| ? [X4] : in(ordered_pair(X2,X4),X0) ) ) )
& ( ! [X5] :
( ( ? [X6] : in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] : ~ in(ordered_pair(X5,X7),X0) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) ) ) )
& ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f203,plain,
( sK3 = relation_dom(sK2)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f176,plain,
( in(sK5,sK3)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl14_2
<=> in(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f562,plain,
( ~ spl14_1
| spl14_6 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f561,plain,
( $false
| ~ spl14_1
| spl14_6 ),
inference(subsumption_resolution,[],[f560,f204]) ).
fof(f560,plain,
( sK3 = relation_dom(sK2)
| ~ spl14_1 ),
inference(forward_demodulation,[],[f179,f171]) ).
fof(f171,plain,
( relation_dom_as_subset(sK3,sK4,sK2) = sK3
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl14_1
<=> relation_dom_as_subset(sK3,sK4,sK2) = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f552,plain,
( spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f550,f192]) ).
fof(f192,plain,
( ! [X1] : ~ in(X1,relation_dom(sK2))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl14_3
<=> ! [X1] : ~ in(X1,relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f550,plain,
( in(sK7(relation_dom(sK2)),relation_dom(sK2))
| spl14_1
| ~ spl14_4 ),
inference(unit_resulting_resolution,[],[f129,f540,f135]) ).
fof(f540,plain,
( ~ empty(relation_dom(sK2))
| spl14_1
| ~ spl14_4 ),
inference(forward_demodulation,[],[f539,f515]) ).
fof(f515,plain,
( relation_dom(sK2) = relation_dom_as_subset(empty_set,sK4,sK2)
| ~ spl14_4 ),
inference(backward_demodulation,[],[f179,f500]) ).
fof(f500,plain,
( empty_set = sK3
| ~ spl14_4 ),
inference(unit_resulting_resolution,[],[f144,f195,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ empty(X0)
| X0 = X1
| ~ empty(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ empty(X0)
| X0 = X1
| ~ empty(X1) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X0)
& X0 != X1
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f195,plain,
( empty(sK3)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f144,plain,
empty(empty_set),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f539,plain,
( ~ empty(relation_dom_as_subset(empty_set,sK4,sK2))
| spl14_1
| ~ spl14_4 ),
inference(forward_demodulation,[],[f507,f500]) ).
fof(f507,plain,
( ~ empty(relation_dom_as_subset(sK3,sK4,sK2))
| spl14_1
| ~ spl14_4 ),
inference(unit_resulting_resolution,[],[f172,f195,f121]) ).
fof(f172,plain,
( relation_dom_as_subset(sK3,sK4,sK2) != sK3
| spl14_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f129,plain,
! [X0] : element(sK7(X0),X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] : element(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f19,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f215,plain,
( spl14_1
| ~ spl14_6 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| spl14_1
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f210,f172]) ).
fof(f210,plain,
( relation_dom_as_subset(sK3,sK4,sK2) = sK3
| ~ spl14_6 ),
inference(backward_demodulation,[],[f179,f203]) ).
fof(f209,plain,
( spl14_7
| spl14_6 ),
inference(avatar_split_clause,[],[f185,f202,f207]) ).
fof(f185,plain,
! [X5] :
( sK3 = relation_dom(sK2)
| ~ in(X5,sK3)
| in(unordered_pair(singleton(X5),unordered_pair(X5,sK6(X5))),sK2) ),
inference(backward_demodulation,[],[f163,f179]) ).
fof(f163,plain,
! [X5] :
( relation_dom_as_subset(sK3,sK4,sK2) = sK3
| ~ in(X5,sK3)
| in(unordered_pair(singleton(X5),unordered_pair(X5,sK6(X5))),sK2) ),
inference(forward_demodulation,[],[f155,f146]) ).
fof(f155,plain,
! [X5] :
( in(unordered_pair(unordered_pair(X5,sK6(X5)),singleton(X5)),sK2)
| ~ in(X5,sK3)
| relation_dom_as_subset(sK3,sK4,sK2) = sK3 ),
inference(definition_unfolding,[],[f125,f122]) ).
fof(f125,plain,
! [X5] :
( relation_dom_as_subset(sK3,sK4,sK2) = sK3
| ~ in(X5,sK3)
| in(ordered_pair(X5,sK6(X5)),sK2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f205,plain,
( spl14_5
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f184,f202,f199]) ).
fof(f184,plain,
! [X4] :
( sK3 != relation_dom(sK2)
| ~ in(unordered_pair(singleton(sK5),unordered_pair(sK5,X4)),sK2) ),
inference(backward_demodulation,[],[f164,f179]) ).
fof(f164,plain,
! [X4] :
( ~ in(unordered_pair(singleton(sK5),unordered_pair(sK5,X4)),sK2)
| relation_dom_as_subset(sK3,sK4,sK2) != sK3 ),
inference(forward_demodulation,[],[f154,f146]) ).
fof(f154,plain,
! [X4] :
( ~ in(unordered_pair(unordered_pair(sK5,X4),singleton(sK5)),sK2)
| relation_dom_as_subset(sK3,sK4,sK2) != sK3 ),
inference(definition_unfolding,[],[f126,f122]) ).
fof(f126,plain,
! [X4] :
( relation_dom_as_subset(sK3,sK4,sK2) != sK3
| ~ in(ordered_pair(sK5,X4),sK2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f197,plain,
( spl14_3
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f188,f194,f191]) ).
fof(f188,plain,
! [X1] :
( ~ empty(sK3)
| ~ in(X1,relation_dom(sK2)) ),
inference(resolution,[],[f183,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(X1))
| ~ empty(X1)
| ~ in(X2,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0] :
~ ( empty(X1)
& in(X2,X0)
& element(X0,powerset(X1)) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X2,X0] :
~ ( element(X1,powerset(X2))
& in(X0,X1)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f177,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f127,f174,f170]) ).
fof(f127,plain,
( in(sK5,sK3)
| relation_dom_as_subset(sK3,sK4,sK2) != sK3 ),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU265+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 15:12:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.55 % (16127)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)
% 0.19/0.55 % (16128)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.55 % (16131)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)
% 0.19/0.56 % (16135)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56 % (16131)Refutation not found, incomplete strategy% (16131)------------------------------
% 0.19/0.56 % (16131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (16139)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)
% 0.19/0.56 % (16143)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.56 % (16135)Instruction limit reached!
% 0.19/0.56 % (16135)------------------------------
% 0.19/0.56 % (16135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (16135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (16135)Termination reason: Unknown
% 0.19/0.56 % (16135)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (16135)Memory used [KB]: 6012
% 0.19/0.56 % (16135)Time elapsed: 0.006 s
% 0.19/0.56 % (16135)Instructions burned: 3 (million)
% 0.19/0.56 % (16135)------------------------------
% 0.19/0.56 % (16135)------------------------------
% 0.19/0.56 % (16147)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)
% 0.19/0.56 % (16144)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)
% 0.19/0.57 % (16136)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (16136)Instruction limit reached!
% 0.19/0.57 % (16136)------------------------------
% 0.19/0.57 % (16136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (16139)Instruction limit reached!
% 0.19/0.57 % (16139)------------------------------
% 0.19/0.57 % (16139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (16139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (16139)Termination reason: Unknown
% 0.19/0.57 % (16139)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (16139)Memory used [KB]: 1407
% 0.19/0.57 % (16139)Time elapsed: 0.005 s
% 0.19/0.57 % (16139)Instructions burned: 2 (million)
% 0.19/0.57 % (16139)------------------------------
% 0.19/0.57 % (16139)------------------------------
% 0.19/0.57 % (16131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (16131)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (16131)Memory used [KB]: 6140
% 0.19/0.57 % (16131)Time elapsed: 0.127 s
% 0.19/0.57 % (16131)Instructions burned: 6 (million)
% 0.19/0.57 % (16131)------------------------------
% 0.19/0.57 % (16131)------------------------------
% 0.19/0.57 % (16144)Refutation not found, incomplete strategy% (16144)------------------------------
% 0.19/0.57 % (16144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (16144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (16144)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (16144)Memory used [KB]: 1535
% 0.19/0.57 % (16144)Time elapsed: 0.146 s
% 0.19/0.57 % (16144)Instructions burned: 5 (million)
% 0.19/0.57 % (16144)------------------------------
% 0.19/0.57 % (16144)------------------------------
% 0.19/0.58 % (16136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (16136)Termination reason: Unknown
% 0.19/0.58 % (16136)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (16136)Memory used [KB]: 6140
% 0.19/0.58 % (16136)Time elapsed: 0.150 s
% 0.19/0.58 % (16136)Instructions burned: 7 (million)
% 0.19/0.58 % (16136)------------------------------
% 0.19/0.58 % (16136)------------------------------
% 0.19/0.59 % (16122)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)
% 0.19/0.60 % (16124)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60 % (16124)Refutation not found, incomplete strategy% (16124)------------------------------
% 0.19/0.60 % (16124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (16124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (16124)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.60
% 0.19/0.60 % (16124)Memory used [KB]: 6012
% 0.19/0.60 % (16124)Time elapsed: 0.176 s
% 0.19/0.60 % (16124)Instructions burned: 3 (million)
% 0.19/0.60 % (16124)------------------------------
% 0.19/0.60 % (16124)------------------------------
% 0.19/0.61 % (16126)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)
% 0.19/0.61 % (16132)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)
% 0.19/0.61 % (16138)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.61 % (16148)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)
% 0.19/0.61 % (16128)Instruction limit reached!
% 0.19/0.61 % (16128)------------------------------
% 0.19/0.61 % (16128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (16128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (16138)Instruction limit reached!
% 0.19/0.61 % (16138)------------------------------
% 0.19/0.61 % (16138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (16138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (16138)Termination reason: Unknown
% 0.19/0.61 % (16138)Termination phase: Function definition elimination
% 0.19/0.61
% 0.19/0.61 % (16138)Memory used [KB]: 1407
% 0.19/0.61 % (16138)Time elapsed: 0.003 s
% 0.19/0.61 % (16138)Instructions burned: 3 (million)
% 0.19/0.61 % (16138)------------------------------
% 0.19/0.61 % (16138)------------------------------
% 0.19/0.61 % (16127)Instruction limit reached!
% 0.19/0.61 % (16127)------------------------------
% 0.19/0.61 % (16127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (16127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (16127)Termination reason: Unknown
% 0.19/0.61 % (16127)Termination phase: Saturation
% 0.19/0.61
% 0.19/0.61 % (16127)Memory used [KB]: 6524
% 0.19/0.61 % (16127)Time elapsed: 0.179 s
% 0.19/0.61 % (16127)Instructions burned: 39 (million)
% 0.19/0.61 % (16127)------------------------------
% 0.19/0.61 % (16127)------------------------------
% 0.19/0.61 % (16128)Termination reason: Unknown
% 0.19/0.61 % (16128)Termination phase: Saturation
% 0.19/0.61
% 0.19/0.61 % (16128)Memory used [KB]: 6524
% 0.19/0.61 % (16128)Time elapsed: 0.190 s
% 0.19/0.61 % (16128)Instructions burned: 39 (million)
% 0.19/0.61 % (16128)------------------------------
% 0.19/0.61 % (16128)------------------------------
% 0.19/0.62 % (16129)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)
% 0.19/0.62 % (16140)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)
% 0.19/0.62 % (16142)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)
% 0.19/0.62 % (16130)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)
% 0.19/0.62 % (16145)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)
% 0.19/0.62 % (16146)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)
% 0.19/0.62 % (16150)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)
% 0.19/0.63 % (16137)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)
% 0.19/0.63 % (16126)Refutation not found, incomplete strategy% (16126)------------------------------
% 0.19/0.63 % (16126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.63 % (16126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.63 % (16126)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.63
% 0.19/0.63 % (16126)Memory used [KB]: 1535
% 0.19/0.63 % (16126)Time elapsed: 0.186 s
% 0.19/0.63 % (16126)Instructions burned: 5 (million)
% 0.19/0.63 % (16126)------------------------------
% 0.19/0.63 % (16126)------------------------------
% 0.19/0.63 % (16134)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)
% 0.19/0.63 % (16132)Instruction limit reached!
% 0.19/0.63 % (16132)------------------------------
% 0.19/0.63 % (16132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.63 % (16132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.63 % (16132)Termination reason: Unknown
% 0.19/0.63 % (16132)Termination phase: Saturation
% 0.19/0.63
% 0.19/0.63 % (16132)Memory used [KB]: 6140
% 0.19/0.63 % (16132)Time elapsed: 0.210 s
% 0.19/0.63 % (16132)Instructions burned: 7 (million)
% 0.19/0.63 % (16132)------------------------------
% 0.19/0.63 % (16132)------------------------------
% 0.19/0.63 % (16123)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.64 % (16130)Refutation not found, incomplete strategy% (16130)------------------------------
% 0.19/0.64 % (16130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.64 % (16130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.64 % (16130)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.64
% 0.19/0.64 % (16130)Memory used [KB]: 6012
% 0.19/0.64 % (16130)Time elapsed: 0.153 s
% 0.19/0.64 % (16130)Instructions burned: 4 (million)
% 0.19/0.64 % (16130)------------------------------
% 0.19/0.64 % (16130)------------------------------
% 0.19/0.64 % (16140)Instruction limit reached!
% 0.19/0.64 % (16140)------------------------------
% 0.19/0.64 % (16140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.64 % (16140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.64 % (16140)Termination reason: Unknown
% 0.19/0.64 % (16140)Termination phase: Saturation
% 0.19/0.64
% 0.19/0.64 % (16140)Memory used [KB]: 6268
% 0.19/0.64 % (16140)Time elapsed: 0.204 s
% 0.19/0.64 % (16140)Instructions burned: 12 (million)
% 0.19/0.64 % (16140)------------------------------
% 0.19/0.64 % (16140)------------------------------
% 0.19/0.65 % (16122)Instruction limit reached!
% 0.19/0.65 % (16122)------------------------------
% 0.19/0.65 % (16122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.65 % (16122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.65 % (16122)Termination reason: Unknown
% 0.19/0.65 % (16122)Termination phase: Saturation
% 0.19/0.65
% 0.19/0.65 % (16122)Memory used [KB]: 6140
% 0.19/0.65 % (16122)Time elapsed: 0.224 s
% 0.19/0.65 % (16122)Instructions burned: 14 (million)
% 0.19/0.65 % (16122)------------------------------
% 0.19/0.65 % (16122)------------------------------
% 0.19/0.65 % (16143)Instruction limit reached!
% 0.19/0.65 % (16143)------------------------------
% 0.19/0.65 % (16143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.65 % (16143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.65 % (16143)Termination reason: Unknown
% 0.19/0.65 % (16143)Termination phase: Saturation
% 0.19/0.65
% 0.19/0.65 % (16143)Memory used [KB]: 7036
% 0.19/0.65 % (16143)Time elapsed: 0.208 s
% 0.19/0.65 % (16143)Instructions burned: 82 (million)
% 0.19/0.65 % (16143)------------------------------
% 0.19/0.65 % (16143)------------------------------
% 0.19/0.65 % (16134)Refutation not found, incomplete strategy% (16134)------------------------------
% 0.19/0.65 % (16134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.65 % (16134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.65 % (16134)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.65
% 0.19/0.65 % (16134)Memory used [KB]: 6140
% 0.19/0.65 % (16134)Time elapsed: 0.223 s
% 0.19/0.65 % (16134)Instructions burned: 9 (million)
% 0.19/0.65 % (16134)------------------------------
% 0.19/0.65 % (16134)------------------------------
% 1.94/0.65 % (16123)Instruction limit reached!
% 1.94/0.65 % (16123)------------------------------
% 1.94/0.65 % (16123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.65 % (16123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.65 % (16123)Termination reason: Unknown
% 1.94/0.65 % (16123)Termination phase: Saturation
% 1.94/0.65
% 1.94/0.65 % (16123)Memory used [KB]: 6012
% 1.94/0.65 % (16123)Time elapsed: 0.005 s
% 1.94/0.65 % (16123)Instructions burned: 3 (million)
% 1.94/0.65 % (16123)------------------------------
% 1.94/0.65 % (16123)------------------------------
% 1.94/0.67 % (16150)Instruction limit reached!
% 1.94/0.67 % (16150)------------------------------
% 1.94/0.67 % (16150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.67 % (16150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.67 % (16150)Termination reason: Unknown
% 1.94/0.67 % (16150)Termination phase: Saturation
% 1.94/0.67
% 1.94/0.67 % (16150)Memory used [KB]: 6396
% 1.94/0.67 % (16150)Time elapsed: 0.249 s
% 1.94/0.67 % (16150)Instructions burned: 24 (million)
% 1.94/0.67 % (16150)------------------------------
% 1.94/0.67 % (16150)------------------------------
% 1.94/0.67 % (16148)Instruction limit reached!
% 1.94/0.67 % (16148)------------------------------
% 1.94/0.67 % (16148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.67 % (16148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.67 % (16148)Termination reason: Unknown
% 1.94/0.67 % (16148)Termination phase: Saturation
% 1.94/0.67
% 1.94/0.67 % (16148)Memory used [KB]: 6396
% 1.94/0.67 % (16148)Time elapsed: 0.251 s
% 1.94/0.67 % (16148)Instructions burned: 26 (million)
% 1.94/0.67 % (16148)------------------------------
% 1.94/0.67 % (16148)------------------------------
% 2.47/0.68 % (16137)Refutation not found, incomplete strategy% (16137)------------------------------
% 2.47/0.68 % (16137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.68 % (16137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.68 % (16137)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.68
% 2.47/0.68 % (16137)Memory used [KB]: 6524
% 2.47/0.68 % (16137)Time elapsed: 0.249 s
% 2.47/0.68 % (16137)Instructions burned: 23 (million)
% 2.47/0.68 % (16137)------------------------------
% 2.47/0.68 % (16137)------------------------------
% 2.47/0.68 % (16125)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)
% 2.54/0.70 % (16121)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.54/0.70 % (16168)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 (2997ds/107Mi)
% 2.54/0.70 % (16162)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 (2997ds/92Mi)
% 2.54/0.70 % (16162)Refutation not found, incomplete strategy% (16162)------------------------------
% 2.54/0.70 % (16162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.70 % (16162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.70 % (16162)Termination reason: Refutation not found, incomplete strategy
% 2.54/0.70
% 2.54/0.70 % (16162)Memory used [KB]: 6012
% 2.54/0.70 % (16162)Time elapsed: 0.082 s
% 2.54/0.70 % (16162)Instructions burned: 3 (million)
% 2.54/0.70 % (16162)------------------------------
% 2.54/0.70 % (16162)------------------------------
% 2.62/0.71 % (16141)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)
% 2.62/0.71 % (16149)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)
% 2.62/0.72 % (16142)First to succeed.
% 2.69/0.73 % (16133)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)
% 2.69/0.74 % (16176)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.69/0.74 % (16149)Instruction limit reached!
% 2.69/0.74 % (16149)------------------------------
% 2.69/0.74 % (16149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.74 % (16149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.74 % (16149)Termination reason: Unknown
% 2.69/0.74 % (16149)Termination phase: Saturation
% 2.69/0.74
% 2.69/0.74 % (16149)Memory used [KB]: 6140
% 2.69/0.74 % (16149)Time elapsed: 0.298 s
% 2.69/0.74 % (16149)Instructions burned: 8 (million)
% 2.69/0.74 % (16149)------------------------------
% 2.69/0.74 % (16149)------------------------------
% 2.69/0.74 % (16176)Refutation not found, incomplete strategy% (16176)------------------------------
% 2.69/0.74 % (16176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.74 % (16176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.74 % (16176)Termination reason: Refutation not found, incomplete strategy
% 2.69/0.74
% 2.69/0.74 % (16176)Memory used [KB]: 6012
% 2.69/0.74 % (16176)Time elapsed: 0.081 s
% 2.69/0.74 % (16176)Instructions burned: 3 (million)
% 2.69/0.74 % (16176)------------------------------
% 2.69/0.74 % (16176)------------------------------
% 2.69/0.75 % (16142)Refutation found. Thanks to Tanya!
% 2.69/0.75 % SZS status Theorem for theBenchmark
% 2.69/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/0.75 % (16142)------------------------------
% 2.69/0.75 % (16142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.75 % (16142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.75 % (16142)Termination reason: Refutation
% 2.69/0.75
% 2.69/0.75 % (16142)Memory used [KB]: 6652
% 2.69/0.75 % (16142)Time elapsed: 0.303 s
% 2.69/0.75 % (16142)Instructions burned: 38 (million)
% 2.69/0.75 % (16142)------------------------------
% 2.69/0.75 % (16142)------------------------------
% 2.69/0.75 % (16120)Success in time 0.395 s
%------------------------------------------------------------------------------