TSTP Solution File: SET770+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET770+4 : 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 : n018.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 18:22:11 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 14 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 374 ( 125 ~; 129 |; 76 &)
% ( 16 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 176 ( 153 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f629,plain,
$false,
inference(avatar_sat_refutation,[],[f112,f289,f304,f393,f534,f591,f628]) ).
fof(f628,plain,
( spl6_2
| ~ spl6_5
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| spl6_2
| ~ spl6_5
| spl6_6 ),
inference(subsumption_resolution,[],[f621,f581]) ).
fof(f581,plain,
( apply(sK2,sK5,sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)))
| spl6_2 ),
inference(resolution,[],[f478,f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( apply(X1,X3,X2)
| ~ member(X2,equivalence_class(X3,X0,X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ( ( apply(X1,X3,X2)
& member(X2,X0) )
| ~ member(X2,equivalence_class(X3,X0,X1)) )
& ( member(X2,equivalence_class(X3,X0,X1))
| ~ apply(X1,X3,X2)
| ~ member(X2,X0) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X3,X0,X2,X1] :
( ( ( apply(X0,X1,X2)
& member(X2,X3) )
| ~ member(X2,equivalence_class(X1,X3,X0)) )
& ( member(X2,equivalence_class(X1,X3,X0))
| ~ apply(X0,X1,X2)
| ~ member(X2,X3) ) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X3,X0,X2,X1] :
( ( ( apply(X0,X1,X2)
& member(X2,X3) )
| ~ member(X2,equivalence_class(X1,X3,X0)) )
& ( member(X2,equivalence_class(X1,X3,X0))
| ~ apply(X0,X1,X2)
| ~ member(X2,X3) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X3,X0,X2,X1] :
( ( apply(X0,X1,X2)
& member(X2,X3) )
<=> member(X2,equivalence_class(X1,X3,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X6,X0,X2,X3] :
( ( member(X2,X3)
& apply(X6,X0,X2) )
<=> member(X2,equivalence_class(X0,X3,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_class) ).
fof(f478,plain,
( member(sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),equivalence_class(sK5,sK4,sK2))
| spl6_2 ),
inference(unit_resulting_resolution,[],[f111,f48]) ).
fof(f48,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( subset(X1,X0)
| ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f111,plain,
( ~ subset(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2))
| spl6_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl6_2
<=> subset(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f621,plain,
( ~ apply(sK2,sK5,sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)))
| ~ spl6_5
| spl6_6 ),
inference(unit_resulting_resolution,[],[f59,f63,f339,f60,f528,f533,f57]) ).
fof(f57,plain,
! [X3,X0,X1,X4,X5] :
( ~ member(X5,X0)
| apply(X1,X4,X5)
| ~ member(X3,X0)
| ~ member(X4,X0)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X4,X3)
| ~ equivalence(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4,X5] :
( ~ member(X4,X0)
| ~ member(X5,X0)
| apply(X1,X4,X5)
| ~ apply(X1,X4,X3)
| ~ member(X3,X0)
| ~ apply(X1,X3,X5) )
& ! [X6,X7] :
( ~ apply(X1,X7,X6)
| ~ member(X6,X0)
| ~ member(X7,X0)
| apply(X1,X6,X7) ) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| ( ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) )
& ! [X4,X6,X5] :
( ~ member(X6,X0)
| ~ member(X5,X0)
| apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ member(X4,X0)
| ~ apply(X1,X4,X5) )
& ! [X3,X2] :
( ~ apply(X1,X2,X3)
| ~ member(X3,X0)
| ~ member(X2,X0)
| apply(X1,X3,X2) ) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ( ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) )
& ! [X2,X3] :
( apply(X1,X3,X2)
| ~ apply(X1,X2,X3)
| ~ member(X2,X0)
| ~ member(X3,X0) )
& ! [X5,X4,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X6,X4)
| ~ apply(X1,X4,X5)
| ~ member(X5,X0)
| ~ member(X4,X0)
| ~ member(X6,X0) ) )
| ~ equivalence(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( equivalence(X1,X0)
=> ( ! [X7] :
( member(X7,X0)
=> apply(X1,X7,X7) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X5,X4,X6] :
( ( member(X5,X0)
& member(X4,X0)
& member(X6,X0) )
=> ( ( apply(X1,X6,X4)
& apply(X1,X4,X5) )
=> apply(X1,X6,X5) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( ( ! [X7] :
( member(X7,X0)
=> apply(X1,X7,X7) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X5,X4,X6] :
( ( member(X5,X0)
& member(X4,X0)
& member(X6,X0) )
=> ( ( apply(X1,X6,X4)
& apply(X1,X4,X5) )
=> apply(X1,X6,X5) ) ) )
<=> equivalence(X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X6] :
( equivalence(X6,X0)
<=> ( ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) )
& ! [X4,X5,X2] :
( ( member(X4,X0)
& member(X5,X0)
& member(X2,X0) )
=> ( ( apply(X6,X4,X5)
& apply(X6,X2,X4) )
=> apply(X6,X2,X5) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).
fof(f533,plain,
( ~ apply(sK2,sK3,sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)))
| spl6_6 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl6_6
<=> apply(sK2,sK3,sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f528,plain,
( member(sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK4)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f527,plain,
( spl6_5
<=> member(sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f60,plain,
member(sK3,sK4),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( member(sK5,sK4)
& ~ equal_set(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2))
& ~ disjoint(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2))
& member(sK3,sK4)
& equivalence(sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2,X3] :
( member(X3,X2)
& ~ equal_set(equivalence_class(X3,X2,X0),equivalence_class(X1,X2,X0))
& ~ disjoint(equivalence_class(X3,X2,X0),equivalence_class(X1,X2,X0))
& member(X1,X2)
& equivalence(X0,X2) )
=> ( member(sK5,sK4)
& ~ equal_set(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2))
& ~ disjoint(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2))
& member(sK3,sK4)
& equivalence(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2,X3] :
( member(X3,X2)
& ~ equal_set(equivalence_class(X3,X2,X0),equivalence_class(X1,X2,X0))
& ~ disjoint(equivalence_class(X3,X2,X0),equivalence_class(X1,X2,X0))
& member(X1,X2)
& equivalence(X0,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
? [X2,X0,X3,X1] :
( member(X1,X3)
& ~ equal_set(equivalence_class(X1,X3,X2),equivalence_class(X0,X3,X2))
& ~ disjoint(equivalence_class(X1,X3,X2),equivalence_class(X0,X3,X2))
& member(X0,X3)
& equivalence(X2,X3) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ~ equal_set(equivalence_class(X1,X3,X2),equivalence_class(X0,X3,X2))
& ~ disjoint(equivalence_class(X1,X3,X2),equivalence_class(X0,X3,X2))
& member(X1,X3)
& member(X0,X3)
& equivalence(X2,X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2,X3] :
( ( member(X1,X3)
& member(X0,X3)
& equivalence(X2,X3) )
=> ( equal_set(equivalence_class(X1,X3,X2),equivalence_class(X0,X3,X2))
| disjoint(equivalence_class(X1,X3,X2),equivalence_class(X0,X3,X2)) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X0,X6,X3] :
( ( member(X1,X3)
& equivalence(X6,X3)
& member(X0,X3) )
=> ( disjoint(equivalence_class(X0,X3,X6),equivalence_class(X1,X3,X6))
| equal_set(equivalence_class(X0,X3,X6),equivalence_class(X1,X3,X6)) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X0,X6,X3] :
( ( member(X1,X3)
& equivalence(X6,X3)
& member(X0,X3) )
=> ( disjoint(equivalence_class(X0,X3,X6),equivalence_class(X1,X3,X6))
| equal_set(equivalence_class(X0,X3,X6),equivalence_class(X1,X3,X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII06) ).
fof(f339,plain,
apply(sK2,sK3,sK5),
inference(unit_resulting_resolution,[],[f63,f60,f183,f184,f264,f66]) ).
fof(f66,plain,
! [X3,X4,X5] :
( ~ apply(sK2,X5,X3)
| ~ member(X5,sK4)
| ~ member(X4,sK4)
| ~ member(X3,sK4)
| ~ apply(sK2,X4,X5)
| apply(sK2,X4,X3) ),
inference(resolution,[],[f59,f57]) ).
fof(f264,plain,
apply(sK2,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK5),
inference(unit_resulting_resolution,[],[f63,f184,f196,f65]) ).
fof(f65,plain,
! [X2,X1] :
( ~ apply(sK2,X2,X1)
| ~ member(X1,sK4)
| ~ member(X2,sK4)
| apply(sK2,X1,X2) ),
inference(resolution,[],[f59,f56]) ).
fof(f56,plain,
! [X0,X1,X6,X7] :
( ~ member(X6,X0)
| apply(X1,X6,X7)
| ~ apply(X1,X7,X6)
| ~ equivalence(X1,X0)
| ~ member(X7,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f196,plain,
apply(sK2,sK5,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2))),
inference(resolution,[],[f92,f55]) ).
fof(f92,plain,
member(sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),equivalence_class(sK5,sK4,sK2)),
inference(unit_resulting_resolution,[],[f61,f52]) ).
fof(f52,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) )
| disjoint(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f32,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
=> ( member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
| disjoint(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ~ ? [X2] :
( member(X2,X1)
& member(X2,X0) )
=> disjoint(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ~ ? [X2] :
( member(X2,X1)
& member(X2,X0) )
<=> disjoint(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( ~ ? [X2] :
( member(X2,X0)
& member(X2,X1) )
<=> disjoint(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint) ).
fof(f61,plain,
~ disjoint(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),
inference(cnf_transformation,[],[f47]) ).
fof(f184,plain,
member(sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK4),
inference(unit_resulting_resolution,[],[f91,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(X2,equivalence_class(X3,X0,X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f91,plain,
member(sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),equivalence_class(sK3,sK4,sK2)),
inference(unit_resulting_resolution,[],[f61,f51]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f183,plain,
apply(sK2,sK3,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2))),
inference(unit_resulting_resolution,[],[f91,f55]) ).
fof(f63,plain,
member(sK5,sK4),
inference(cnf_transformation,[],[f47]) ).
fof(f59,plain,
equivalence(sK2,sK4),
inference(cnf_transformation,[],[f47]) ).
fof(f591,plain,
( spl6_2
| spl6_5 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| spl6_2
| spl6_5 ),
inference(subsumption_resolution,[],[f579,f529]) ).
fof(f529,plain,
( ~ member(sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK4)
| spl6_5 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f579,plain,
( member(sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK4)
| spl6_2 ),
inference(unit_resulting_resolution,[],[f478,f54]) ).
fof(f534,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_2 ),
inference(avatar_split_clause,[],[f524,f109,f531,f527]) ).
fof(f524,plain,
( ~ apply(sK2,sK3,sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)))
| ~ member(sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK4)
| spl6_2 ),
inference(resolution,[],[f477,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,X0)
| member(X2,equivalence_class(X3,X0,X1))
| ~ apply(X1,X3,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f477,plain,
( ~ member(sK0(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),equivalence_class(sK3,sK4,sK2))
| spl6_2 ),
inference(unit_resulting_resolution,[],[f111,f49]) ).
fof(f49,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f393,plain,
( spl6_1
| ~ spl6_3
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f392,plain,
( $false
| spl6_1
| ~ spl6_3
| spl6_4 ),
inference(subsumption_resolution,[],[f376,f364]) ).
fof(f364,plain,
( ~ apply(sK2,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)))
| ~ spl6_3
| spl6_4 ),
inference(unit_resulting_resolution,[],[f59,f184,f196,f63,f283,f288,f57]) ).
fof(f288,plain,
( ~ apply(sK2,sK5,sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)))
| spl6_4 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl6_4
<=> apply(sK2,sK5,sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f283,plain,
( member(sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),sK4)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl6_3
<=> member(sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f376,plain,
( apply(sK2,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)))
| spl6_1
| ~ spl6_3 ),
inference(unit_resulting_resolution,[],[f59,f184,f262,f60,f283,f291,f57]) ).
fof(f291,plain,
( apply(sK2,sK3,sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)))
| spl6_1 ),
inference(unit_resulting_resolution,[],[f134,f55]) ).
fof(f134,plain,
( member(sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),equivalence_class(sK3,sK4,sK2))
| spl6_1 ),
inference(unit_resulting_resolution,[],[f107,f48]) ).
fof(f107,plain,
( ~ subset(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2))
| spl6_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl6_1
<=> subset(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f262,plain,
apply(sK2,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK3),
inference(subsumption_resolution,[],[f261,f60]) ).
fof(f261,plain,
( apply(sK2,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK3)
| ~ member(sK3,sK4) ),
inference(subsumption_resolution,[],[f254,f184]) ).
fof(f254,plain,
( ~ member(sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK4)
| ~ member(sK3,sK4)
| apply(sK2,sK1(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)),sK3) ),
inference(resolution,[],[f183,f65]) ).
fof(f304,plain,
( spl6_1
| spl6_3 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| spl6_1
| spl6_3 ),
inference(subsumption_resolution,[],[f292,f284]) ).
fof(f284,plain,
( ~ member(sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),sK4)
| spl6_3 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f292,plain,
( member(sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),sK4)
| spl6_1 ),
inference(unit_resulting_resolution,[],[f134,f54]) ).
fof(f289,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f279,f105,f286,f282]) ).
fof(f279,plain,
( ~ apply(sK2,sK5,sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)))
| ~ member(sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),sK4)
| spl6_1 ),
inference(resolution,[],[f133,f53]) ).
fof(f133,plain,
( ~ member(sK0(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),equivalence_class(sK5,sK4,sK2))
| spl6_1 ),
inference(unit_resulting_resolution,[],[f107,f49]) ).
fof(f112,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f103,f109,f105]) ).
fof(f103,plain,
( ~ subset(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2))
| ~ subset(equivalence_class(sK3,sK4,sK2),equivalence_class(sK5,sK4,sK2)) ),
inference(resolution,[],[f62,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X1,X0)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f62,plain,
~ equal_set(equivalence_class(sK5,sK4,sK2),equivalence_class(sK3,sK4,sK2)),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET770+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.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 14:20:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (17233)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)
% 0.20/0.49 % (17249)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)
% 0.20/0.52 % (17233)First to succeed.
% 0.20/0.52 % (17233)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (17233)------------------------------
% 0.20/0.52 % (17233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17233)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (17233)Memory used [KB]: 6140
% 0.20/0.52 % (17233)Time elapsed: 0.082 s
% 0.20/0.52 % (17233)Instructions burned: 24 (million)
% 0.20/0.52 % (17233)------------------------------
% 0.20/0.52 % (17233)------------------------------
% 0.20/0.52 % (17225)Success in time 0.167 s
%------------------------------------------------------------------------------