TSTP Solution File: SET795+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET795+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:25:40 EDT 2022
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 6 unt; 0 def)
% Number of atoms : 347 ( 33 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 401 ( 134 ~; 131 |; 95 &)
% ( 13 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 195 ( 172 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f517,plain,
$false,
inference(avatar_sat_refutation,[],[f355,f367,f368,f377,f516]) ).
fof(f516,plain,
( ~ spl9_1
| ~ spl9_8 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| ~ spl9_1
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f514,f133]) ).
fof(f133,plain,
! [X2,X1] : member(X1,unordered_pair(X2,X1)),
inference(equality_resolution,[],[f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( X0 = X1
| X0 = X2
| ~ member(X0,unordered_pair(X2,X1)) )
& ( member(X0,unordered_pair(X2,X1))
| ( X0 != X1
& X0 != X2 ) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X2,X0] :
( ( X1 = X2
| X0 = X1
| ~ member(X1,unordered_pair(X0,X2)) )
& ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 ) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X1,X2,X0] :
( ( X1 = X2
| X0 = X1
| ~ member(X1,unordered_pair(X0,X2)) )
& ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 ) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X2,X0] :
( ( X1 = X2
| X0 = X1 )
<=> member(X1,unordered_pair(X0,X2)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( ( X1 = X2
| X0 = X2 )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair) ).
fof(f514,plain,
( ~ member(sK2,unordered_pair(sK4,sK2))
| ~ spl9_1
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f513,f169]) ).
fof(f169,plain,
( upper_bound(sK2,sK3,unordered_pair(sK4,sK2))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl9_1
<=> upper_bound(sK2,sK3,unordered_pair(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f513,plain,
( ~ upper_bound(sK2,sK3,unordered_pair(sK4,sK2))
| ~ member(sK2,unordered_pair(sK4,sK2))
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f503,f107]) ).
fof(f107,plain,
~ least_upper_bound(sK2,unordered_pair(sK4,sK2),sK3,sK5),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ~ least_upper_bound(sK2,unordered_pair(sK4,sK2),sK3,sK5)
& order(sK3,sK5)
& member(sK4,sK5)
& apply(sK3,sK4,sK2)
& member(sK2,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f65,f66]) ).
fof(f66,plain,
( ? [X0,X1,X2,X3] :
( ~ least_upper_bound(X0,unordered_pair(X2,X0),X1,X3)
& order(X1,X3)
& member(X2,X3)
& apply(X1,X2,X0)
& member(X0,X3) )
=> ( ~ least_upper_bound(sK2,unordered_pair(sK4,sK2),sK3,sK5)
& order(sK3,sK5)
& member(sK4,sK5)
& apply(sK3,sK4,sK2)
& member(sK2,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0,X1,X2,X3] :
( ~ least_upper_bound(X0,unordered_pair(X2,X0),X1,X3)
& order(X1,X3)
& member(X2,X3)
& apply(X1,X2,X0)
& member(X0,X3) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
? [X2,X1,X3,X0] :
( ~ least_upper_bound(X2,unordered_pair(X3,X2),X1,X0)
& order(X1,X0)
& member(X3,X0)
& apply(X1,X3,X2)
& member(X2,X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X2,X0,X1,X3] :
( ~ least_upper_bound(X2,unordered_pair(X3,X2),X1,X0)
& apply(X1,X3,X2)
& member(X2,X0)
& member(X3,X0)
& order(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X2,X0,X1,X3] :
( ( apply(X1,X3,X2)
& member(X2,X0)
& member(X3,X0)
& order(X1,X0) )
=> least_upper_bound(X2,unordered_pair(X3,X2),X1,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X3,X5,X1,X0] :
( ( member(X0,X3)
& apply(X5,X0,X1)
& member(X1,X3)
& order(X5,X3) )
=> least_upper_bound(X1,unordered_pair(X0,X1),X5,X3) ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X3,X5,X1,X0] :
( ( member(X0,X3)
& apply(X5,X0,X1)
& member(X1,X3)
& order(X5,X3) )
=> least_upper_bound(X1,unordered_pair(X0,X1),X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV7) ).
fof(f503,plain,
( least_upper_bound(sK2,unordered_pair(sK4,sK2),sK3,sK5)
| ~ member(sK2,unordered_pair(sK4,sK2))
| ~ upper_bound(sK2,sK3,unordered_pair(sK4,sK2))
| ~ spl9_8 ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f499,plain,
( ~ upper_bound(sK2,sK3,unordered_pair(sK4,sK2))
| ~ member(sK2,unordered_pair(sK4,sK2))
| ~ member(sK2,unordered_pair(sK4,sK2))
| least_upper_bound(sK2,unordered_pair(sK4,sK2),sK3,sK5)
| ~ spl9_8 ),
inference(resolution,[],[f411,f97]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ apply(X1,X2,sK1(X0,X1,X2,X3))
| least_upper_bound(X2,X3,X1,X0)
| ~ upper_bound(X2,X1,X3)
| ~ member(X2,X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ~ member(X2,X3)
| ~ upper_bound(X2,X1,X3)
| ( upper_bound(sK1(X0,X1,X2,X3),X1,X3)
& ~ apply(X1,X2,sK1(X0,X1,X2,X3))
& member(sK1(X0,X1,X2,X3),X0) )
| least_upper_bound(X2,X3,X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f60,f61]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( upper_bound(X4,X1,X3)
& ~ apply(X1,X2,X4)
& member(X4,X0) )
=> ( upper_bound(sK1(X0,X1,X2,X3),X1,X3)
& ~ apply(X1,X2,sK1(X0,X1,X2,X3))
& member(sK1(X0,X1,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ member(X2,X3)
| ~ upper_bound(X2,X1,X3)
| ? [X4] :
( upper_bound(X4,X1,X3)
& ~ apply(X1,X2,X4)
& member(X4,X0) )
| least_upper_bound(X2,X3,X1,X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ upper_bound(X0,X3,X1)
| ? [X4] :
( upper_bound(X4,X3,X1)
& ~ apply(X3,X0,X4)
& member(X4,X2) )
| least_upper_bound(X0,X1,X3,X2) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X2,X1,X3,X0] :
( least_upper_bound(X0,X1,X3,X2)
| ~ upper_bound(X0,X3,X1)
| ? [X4] :
( ~ apply(X3,X0,X4)
& member(X4,X2)
& upper_bound(X4,X3,X1) )
| ~ member(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X1,X3,X0] :
( ( upper_bound(X0,X3,X1)
& ! [X4] :
( ( member(X4,X2)
& upper_bound(X4,X3,X1) )
=> apply(X3,X0,X4) )
& member(X0,X1) )
=> least_upper_bound(X0,X1,X3,X2) ),
inference(unused_predicate_definition_removal,[],[f30]) ).
fof(f30,plain,
! [X2,X1,X3,X0] :
( ( upper_bound(X0,X3,X1)
& ! [X4] :
( ( member(X4,X2)
& upper_bound(X4,X3,X1) )
=> apply(X3,X0,X4) )
& member(X0,X1) )
<=> least_upper_bound(X0,X1,X3,X2) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X2,X3,X5] :
( ( member(X0,X2)
& ! [X7] :
( ( upper_bound(X7,X5,X2)
& member(X7,X3) )
=> apply(X5,X0,X7) )
& upper_bound(X0,X5,X2) )
<=> least_upper_bound(X0,X2,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',least_upper_bound) ).
fof(f411,plain,
( ! [X0] :
( apply(sK3,X0,sK1(sK5,sK3,sK2,unordered_pair(sK4,sK2)))
| ~ member(X0,unordered_pair(sK4,sK2)) )
| ~ spl9_8 ),
inference(resolution,[],[f354,f123]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( ~ upper_bound(X1,X2,X0)
| apply(X2,X4,X1)
| ~ member(X4,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( upper_bound(X1,X2,X0)
| ( member(sK7(X0,X1,X2),X0)
& ~ apply(X2,sK7(X0,X1,X2),X1) ) )
& ( ! [X4] :
( ~ member(X4,X0)
| apply(X2,X4,X1) )
| ~ upper_bound(X1,X2,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ? [X3] :
( member(X3,X0)
& ~ apply(X2,X3,X1) )
=> ( member(sK7(X0,X1,X2),X0)
& ~ apply(X2,sK7(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( upper_bound(X1,X2,X0)
| ? [X3] :
( member(X3,X0)
& ~ apply(X2,X3,X1) ) )
& ( ! [X4] :
( ~ member(X4,X0)
| apply(X2,X4,X1) )
| ~ upper_bound(X1,X2,X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0,X2,X1] :
( ( upper_bound(X2,X1,X0)
| ? [X3] :
( member(X3,X0)
& ~ apply(X1,X3,X2) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| apply(X1,X3,X2) )
| ~ upper_bound(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X2,X1] :
( upper_bound(X2,X1,X0)
<=> ! [X3] :
( ~ member(X3,X0)
| apply(X1,X3,X2) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ! [X3] :
( member(X3,X0)
=> apply(X1,X3,X2) )
<=> upper_bound(X2,X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X5,X7] :
( ! [X2] :
( member(X2,X3)
=> apply(X5,X2,X7) )
<=> upper_bound(X7,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_bound) ).
fof(f354,plain,
( upper_bound(sK1(sK5,sK3,sK2,unordered_pair(sK4,sK2)),sK3,unordered_pair(sK4,sK2))
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl9_8
<=> upper_bound(sK1(sK5,sK3,sK2,unordered_pair(sK4,sK2)),sK3,unordered_pair(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f377,plain,
( spl9_1
| ~ spl9_7 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| spl9_1
| ~ spl9_7 ),
inference(subsumption_resolution,[],[f375,f103]) ).
fof(f103,plain,
member(sK2,sK5),
inference(cnf_transformation,[],[f67]) ).
fof(f375,plain,
( ~ member(sK2,sK5)
| spl9_1
| ~ spl9_7 ),
inference(resolution,[],[f374,f106]) ).
fof(f106,plain,
order(sK3,sK5),
inference(cnf_transformation,[],[f67]) ).
fof(f374,plain,
( ! [X0] :
( ~ order(sK3,X0)
| ~ member(sK2,X0) )
| spl9_1
| ~ spl9_7 ),
inference(resolution,[],[f373,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( apply(X0,X2,X2)
| ~ member(X2,X1)
| ~ order(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ order(X0,X1)
| ( ! [X2] :
( ~ member(X2,X1)
| apply(X0,X2,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ apply(X0,X3,X4)
| ~ apply(X0,X4,X3)
| ~ member(X4,X1)
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( ~ member(X7,X1)
| ~ apply(X0,X7,X6)
| ~ member(X5,X1)
| apply(X0,X7,X5)
| ~ apply(X0,X6,X5)
| ~ member(X6,X1) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ order(X0,X1)
| ( ! [X7] :
( ~ member(X7,X1)
| apply(X0,X7,X7) )
& ! [X2,X3] :
( X2 = X3
| ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| ~ member(X2,X1) )
& ! [X5,X6,X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X6)
| ~ member(X5,X1)
| apply(X0,X4,X5)
| ~ apply(X0,X6,X5)
| ~ member(X6,X1) ) ) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( ! [X7] :
( ~ member(X7,X1)
| apply(X0,X7,X7) )
& ! [X2,X3] :
( X2 = X3
| ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| ~ member(X2,X1) )
& ! [X4,X5,X6] :
( apply(X0,X4,X5)
| ~ apply(X0,X6,X5)
| ~ apply(X0,X4,X6)
| ~ member(X6,X1)
| ~ member(X4,X1)
| ~ member(X5,X1) ) )
| ~ order(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( order(X0,X1)
=> ( ! [X7] :
( member(X7,X1)
=> apply(X0,X7,X7) )
& ! [X2,X3] :
( ( member(X3,X1)
& member(X2,X1) )
=> ( ( apply(X0,X2,X3)
& apply(X0,X3,X2) )
=> X2 = X3 ) )
& ! [X4,X5,X6] :
( ( member(X6,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X0,X6,X5)
& apply(X0,X4,X6) )
=> apply(X0,X4,X5) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( order(X0,X1)
<=> ( ! [X7] :
( member(X7,X1)
=> apply(X0,X7,X7) )
& ! [X2,X3] :
( ( member(X3,X1)
& member(X2,X1) )
=> ( ( apply(X0,X2,X3)
& apply(X0,X3,X2) )
=> X2 = X3 ) )
& ! [X4,X5,X6] :
( ( member(X6,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X0,X6,X5)
& apply(X0,X4,X6) )
=> apply(X0,X4,X5) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X3] :
( ( ! [X4,X2] :
( ( member(X4,X3)
& member(X2,X3) )
=> ( ( apply(X5,X2,X4)
& apply(X5,X4,X2) )
=> X2 = X4 ) )
& ! [X2,X6,X4] :
( ( member(X2,X3)
& member(X6,X3)
& member(X4,X3) )
=> ( ( apply(X5,X2,X4)
& apply(X5,X4,X6) )
=> apply(X5,X2,X6) ) )
& ! [X2] :
( member(X2,X3)
=> apply(X5,X2,X2) ) )
<=> order(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f373,plain,
( ~ apply(sK3,sK2,sK2)
| spl9_1
| ~ spl9_7 ),
inference(subsumption_resolution,[],[f371,f170]) ).
fof(f170,plain,
( ~ upper_bound(sK2,sK3,unordered_pair(sK4,sK2))
| spl9_1 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f371,plain,
( ~ apply(sK3,sK2,sK2)
| upper_bound(sK2,sK3,unordered_pair(sK4,sK2))
| ~ spl9_7 ),
inference(superposition,[],[f124,f348]) ).
fof(f348,plain,
( sK2 = sK7(unordered_pair(sK4,sK2),sK2,sK3)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl9_7
<=> sK2 = sK7(unordered_pair(sK4,sK2),sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ apply(X2,sK7(X0,X1,X2),X1)
| upper_bound(X1,X2,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f368,plain,
( spl9_7
| spl9_6
| spl9_1 ),
inference(avatar_split_clause,[],[f356,f168,f342,f346]) ).
fof(f342,plain,
( spl9_6
<=> sK4 = sK7(unordered_pair(sK4,sK2),sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f356,plain,
( sK4 = sK7(unordered_pair(sK4,sK2),sK2,sK3)
| sK2 = sK7(unordered_pair(sK4,sK2),sK2,sK3)
| spl9_1 ),
inference(resolution,[],[f170,f248]) ).
fof(f248,plain,
! [X31,X28,X29,X30] :
( upper_bound(X28,X29,unordered_pair(X30,X31))
| sK7(unordered_pair(X30,X31),X28,X29) = X31
| sK7(unordered_pair(X30,X31),X28,X29) = X30 ),
inference(resolution,[],[f125,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X2,X1))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f125,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X0)
| upper_bound(X1,X2,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f367,plain,
( spl9_1
| ~ spl9_6 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f366,plain,
( $false
| spl9_1
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f365,f104]) ).
fof(f104,plain,
apply(sK3,sK4,sK2),
inference(cnf_transformation,[],[f67]) ).
fof(f365,plain,
( ~ apply(sK3,sK4,sK2)
| spl9_1
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f363,f170]) ).
fof(f363,plain,
( upper_bound(sK2,sK3,unordered_pair(sK4,sK2))
| ~ apply(sK3,sK4,sK2)
| ~ spl9_6 ),
inference(superposition,[],[f124,f344]) ).
fof(f344,plain,
( sK4 = sK7(unordered_pair(sK4,sK2),sK2,sK3)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f355,plain,
( ~ spl9_1
| spl9_8 ),
inference(avatar_split_clause,[],[f350,f352,f168]) ).
fof(f350,plain,
( upper_bound(sK1(sK5,sK3,sK2,unordered_pair(sK4,sK2)),sK3,unordered_pair(sK4,sK2))
| ~ upper_bound(sK2,sK3,unordered_pair(sK4,sK2)) ),
inference(subsumption_resolution,[],[f178,f133]) ).
fof(f178,plain,
( upper_bound(sK1(sK5,sK3,sK2,unordered_pair(sK4,sK2)),sK3,unordered_pair(sK4,sK2))
| ~ member(sK2,unordered_pair(sK4,sK2))
| ~ upper_bound(sK2,sK3,unordered_pair(sK4,sK2)) ),
inference(resolution,[],[f98,f107]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( least_upper_bound(X2,X3,X1,X0)
| upper_bound(sK1(X0,X1,X2,X3),X1,X3)
| ~ member(X2,X3)
| ~ upper_bound(X2,X1,X3) ),
inference(cnf_transformation,[],[f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SET795+4 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n024.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 14:22:49 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.34 % (1307)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.11/0.34 % (1293)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.36 % (1309)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.11/0.36 TRYING [2]
% 0.11/0.36 % (1299)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.36 TRYING [3]
% 0.11/0.37 % (1302)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.37 % (1305)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.11/0.37 % (1303)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.11/0.37 % (1301)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.38 % (1301)Instruction limit reached!
% 0.11/0.38 % (1301)------------------------------
% 0.11/0.38 % (1301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.38 % (1295)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.11/0.38 % (1301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.38 % (1301)Termination reason: Unknown
% 0.11/0.38 % (1301)Termination phase: Preprocessing 3
% 0.11/0.38
% 0.11/0.38 % (1301)Memory used [KB]: 895
% 0.11/0.38 % (1301)Time elapsed: 0.003 s
% 0.11/0.38 % (1301)Instructions burned: 2 (million)
% 0.11/0.38 % (1301)------------------------------
% 0.11/0.38 % (1301)------------------------------
% 0.11/0.39 TRYING [1]
% 0.11/0.39 TRYING [4]
% 0.11/0.39 TRYING [2]
% 0.11/0.39 TRYING [3]
% 0.11/0.39 % (1297)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.39 % (1298)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.11/0.39 % (1308)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.11/0.39 % (1304)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.11/0.39 % (1306)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.11/0.40 % (1317)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.11/0.40 % (1316)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.11/0.41 % (1321)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.11/0.41 % (1315)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.11/0.41 % (1322)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.11/0.41 % (1296)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.41 % (1319)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.11/0.41 % (1294)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.11/0.41 % (1313)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.11/0.41 % (1300)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.11/0.41 % (1314)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.11/0.41 % (1294)Refutation not found, incomplete strategy% (1294)------------------------------
% 0.11/0.41 % (1294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.41 % (1294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.41 % (1294)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.41
% 0.11/0.41 % (1294)Memory used [KB]: 5500
% 0.11/0.41 % (1294)Time elapsed: 0.110 s
% 0.11/0.41 % (1294)Instructions burned: 4 (million)
% 0.11/0.41 % (1294)------------------------------
% 0.11/0.41 % (1294)------------------------------
% 0.11/0.41 TRYING [4]
% 0.11/0.42 % (1300)Instruction limit reached!
% 0.11/0.42 % (1300)------------------------------
% 0.11/0.42 % (1300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.42 % (1300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.42 % (1300)Termination reason: Unknown
% 0.11/0.42 % (1300)Termination phase: Saturation
% 0.11/0.42
% 0.11/0.42 % (1300)Memory used [KB]: 5500
% 0.11/0.42 % (1300)Time elapsed: 0.092 s
% 0.11/0.42 % (1300)Instructions burned: 7 (million)
% 0.11/0.42 % (1300)------------------------------
% 0.11/0.42 % (1300)------------------------------
% 0.11/0.42 % (1310)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.11/0.42 TRYING [1]
% 0.11/0.42 % (1311)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.11/0.43 TRYING [5]
% 0.11/0.43 % (1320)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.11/0.43 % (1312)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.11/0.43 TRYING [2]
% 0.11/0.43 % (1318)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.11/0.44 TRYING [3]
% 0.11/0.44 TRYING [4]
% 0.11/0.45 % (1299)Instruction limit reached!
% 0.11/0.45 % (1299)------------------------------
% 0.11/0.45 % (1299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.45 % (1299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.45 % (1299)Termination reason: Unknown
% 0.11/0.45 % (1299)Termination phase: Finite model building SAT solving
% 0.11/0.45
% 0.11/0.45 % (1299)Memory used [KB]: 7675
% 0.11/0.45 % (1299)Time elapsed: 0.128 s
% 0.11/0.45 % (1299)Instructions burned: 51 (million)
% 0.11/0.45 % (1299)------------------------------
% 0.11/0.45 % (1299)------------------------------
% 0.11/0.46 % (1295)Instruction limit reached!
% 0.11/0.46 % (1295)------------------------------
% 0.11/0.46 % (1295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.46 % (1295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.46 % (1295)Termination reason: Unknown
% 0.11/0.46 % (1295)Termination phase: Saturation
% 0.11/0.46
% 0.11/0.46 % (1295)Memory used [KB]: 1663
% 0.11/0.46 % (1295)Time elapsed: 0.161 s
% 0.11/0.46 % (1295)Instructions burned: 37 (million)
% 0.11/0.46 % (1295)------------------------------
% 0.11/0.46 % (1295)------------------------------
% 0.11/0.46 % (1313)First to succeed.
% 0.11/0.46 % (1313)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (1313)------------------------------
% 0.11/0.46 % (1313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.46 % (1313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.46 % (1313)Termination reason: Refutation
% 0.11/0.46
% 0.11/0.46 % (1313)Memory used [KB]: 5884
% 0.11/0.46 % (1313)Time elapsed: 0.167 s
% 0.11/0.46 % (1313)Instructions burned: 16 (million)
% 0.11/0.46 % (1313)------------------------------
% 0.11/0.46 % (1313)------------------------------
% 0.11/0.46 % (1291)Success in time 0.188 s
%------------------------------------------------------------------------------