TSTP Solution File: SET969+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET969+1 : 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_uns --cores 0 -t %d %s
% Computer : n013.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 18:22:53 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 196 ( 15 unt; 0 def)
% Number of atoms : 573 ( 46 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 653 ( 276 ~; 294 |; 46 &)
% ( 30 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 263 ( 240 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f407,plain,
$false,
inference(avatar_sat_refutation,[],[f112,f188,f219,f230,f235,f236,f246,f252,f253,f262,f266,f267,f270,f291,f301,f304,f308,f329,f334,f335,f346,f347,f355,f361,f373,f381,f387,f388,f391,f398,f400,f402,f404,f406]) ).
fof(f406,plain,
( ~ spl9_20
| spl9_12
| ~ spl9_19 ),
inference(avatar_split_clause,[],[f405,f227,f181,f239]) ).
fof(f239,plain,
( spl9_20
<=> in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).
fof(f181,plain,
( spl9_12
<=> in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f227,plain,
( spl9_19
<=> in(sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).
fof(f405,plain,
( ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK4)
| spl9_12
| ~ spl9_19 ),
inference(subsumption_resolution,[],[f275,f228]) ).
fof(f228,plain,
( in(sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK5)
| ~ spl9_19 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f275,plain,
( ~ in(sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK5)
| ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK4)
| spl9_12 ),
inference(resolution,[],[f183,f85]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X3,X0),singleton(X3)),cartesian_product2(X2,X1))
| ~ in(X3,X2)
| ~ in(X0,X1) ),
inference(definition_unfolding,[],[f71,f65]) ).
fof(f65,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
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(f71,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X3,X0),cartesian_product2(X2,X1))
| ~ in(X3,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X3,X0),cartesian_product2(X2,X1))
| ~ in(X3,X2)
| ~ in(X0,X1) )
& ( ( in(X3,X2)
& in(X0,X1) )
| ~ in(ordered_pair(X3,X0),cartesian_product2(X2,X1)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X3,X1] :
( ( in(ordered_pair(X1,X2),cartesian_product2(X3,X0))
| ~ in(X1,X3)
| ~ in(X2,X0) )
& ( ( in(X1,X3)
& in(X2,X0) )
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X3,X1] :
( ( in(ordered_pair(X1,X2),cartesian_product2(X3,X0))
| ~ in(X1,X3)
| ~ in(X2,X0) )
& ( ( in(X1,X3)
& in(X2,X0) )
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X3,X1] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X0))
<=> ( in(X1,X3)
& in(X2,X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X0,X1,X2] :
( ( in(X1,X3)
& in(X0,X2) )
<=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f183,plain,
( ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK4,sK5))
| spl9_12 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f404,plain,
~ spl9_9,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl9_9 ),
inference(resolution,[],[f170,f66]) ).
fof(f66,plain,
! [X0,X1] : subset(set_intersection2(X1,X0),X1),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : subset(set_intersection2(X1,X0),X1),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f170,plain,
( ! [X6,X7] : ~ subset(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(X6,X7))
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl9_9
<=> ! [X6,X7] : ~ subset(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(X6,X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f402,plain,
~ spl9_10,
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f401,plain,
( $false
| ~ spl9_10 ),
inference(resolution,[],[f173,f61]) ).
fof(f61,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1] : subset(X1,X1),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f173,plain,
( ! [X8,X9] : ~ subset(cartesian_product2(set_intersection2(sK4,sK3),sK5),cartesian_product2(X8,X9))
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl9_10
<=> ! [X9,X8] : ~ subset(cartesian_product2(set_intersection2(sK4,sK3),sK5),cartesian_product2(X8,X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f400,plain,
( ~ spl9_18
| spl9_21 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| ~ spl9_18
| spl9_21 ),
inference(subsumption_resolution,[],[f394,f245]) ).
fof(f245,plain,
( ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK3)
| spl9_21 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl9_21
<=> in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).
fof(f394,plain,
( in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK3)
| ~ spl9_18 ),
inference(resolution,[],[f224,f90]) ).
fof(f90,plain,
! [X2,X1,X4] :
( ~ in(X4,set_intersection2(X2,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X0)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( set_intersection2(X2,X1) = X0
| ( ( ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X2)
| ~ in(sK7(X0,X1,X2),X1) )
& ( in(sK7(X0,X1,X2),X0)
| ( in(sK7(X0,X1,X2),X2)
& in(sK7(X0,X1,X2),X1) ) ) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
& in(X4,X1) )
| ~ in(X4,X0) )
& ( in(X4,X0)
| ~ in(X4,X2)
| ~ in(X4,X1) ) )
| set_intersection2(X2,X1) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( in(X3,X0)
| ( in(X3,X2)
& in(X3,X1) ) ) )
=> ( ( ~ in(sK7(X0,X1,X2),X0)
| ~ in(sK7(X0,X1,X2),X2)
| ~ in(sK7(X0,X1,X2),X1) )
& ( in(sK7(X0,X1,X2),X0)
| ( in(sK7(X0,X1,X2),X2)
& in(sK7(X0,X1,X2),X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( set_intersection2(X2,X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( in(X3,X0)
| ( in(X3,X2)
& in(X3,X1) ) ) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
& in(X4,X1) )
| ~ in(X4,X0) )
& ( in(X4,X0)
| ~ in(X4,X2)
| ~ in(X4,X1) ) )
| set_intersection2(X2,X1) != X0 ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0,X2] :
( ( set_intersection2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X2)
| ~ in(X3,X0) )
& ( in(X3,X1)
| ( in(X3,X2)
& in(X3,X0) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
& in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X2)
| ~ in(X3,X0) ) )
| set_intersection2(X2,X0) != X1 ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( ( set_intersection2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X2)
| ~ in(X3,X0) )
& ( in(X3,X1)
| ( in(X3,X2)
& in(X3,X0) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
& in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X2)
| ~ in(X3,X0) ) )
| set_intersection2(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0,X2] :
( set_intersection2(X2,X0) = X1
<=> ! [X3] :
( ( in(X3,X2)
& in(X3,X0) )
<=> in(X3,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) )
<=> set_intersection2(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f224,plain,
( in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),set_intersection2(sK4,sK3))
| ~ spl9_18 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl9_18
<=> in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),set_intersection2(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).
fof(f398,plain,
( ~ spl9_18
| spl9_20 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl9_18
| spl9_20 ),
inference(subsumption_resolution,[],[f395,f241]) ).
fof(f241,plain,
( ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK4)
| spl9_20 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f395,plain,
( in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK4)
| ~ spl9_18 ),
inference(resolution,[],[f224,f89]) ).
fof(f89,plain,
! [X2,X1,X4] :
( ~ in(X4,set_intersection2(X2,X1))
| in(X4,X2) ),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f391,plain,
( ~ spl9_26
| spl9_16
| ~ spl9_25 ),
inference(avatar_split_clause,[],[f390,f314,f203,f320]) ).
fof(f320,plain,
( spl9_26
<=> in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),set_intersection2(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_26])]) ).
fof(f203,plain,
( spl9_16
<=> in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,set_intersection2(sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f314,plain,
( spl9_25
<=> in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).
fof(f390,plain,
( ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),set_intersection2(sK4,sK3))
| spl9_16
| ~ spl9_25 ),
inference(subsumption_resolution,[],[f389,f315]) ).
fof(f315,plain,
( in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| ~ spl9_25 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f389,plain,
( ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),set_intersection2(sK4,sK3))
| ~ in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| spl9_16 ),
inference(resolution,[],[f205,f85]) ).
fof(f205,plain,
( ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,set_intersection2(sK4,sK3)))
| spl9_16 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f388,plain,
( spl9_19
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f384,f175,f227]) ).
fof(f175,plain,
( spl9_11
<=> in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(set_intersection2(sK4,sK3),sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f384,plain,
( in(sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK5)
| ~ spl9_11 ),
inference(resolution,[],[f176,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X3,X0),singleton(X3)),cartesian_product2(X2,X1))
| in(X0,X1) ),
inference(definition_unfolding,[],[f69,f65]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( in(X0,X1)
| ~ in(ordered_pair(X3,X0),cartesian_product2(X2,X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f176,plain,
( in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(set_intersection2(sK4,sK3),sK5))
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f387,plain,
( spl9_18
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f385,f175,f223]) ).
fof(f385,plain,
( in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),set_intersection2(sK4,sK3))
| ~ spl9_11 ),
inference(resolution,[],[f176,f86]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X3,X0),singleton(X3)),cartesian_product2(X2,X1))
| in(X3,X2) ),
inference(definition_unfolding,[],[f70,f65]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(ordered_pair(X3,X0),cartesian_product2(X2,X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f381,plain,
( spl9_11
| spl9_10
| spl9_9
| spl9_2
| spl9_8 ),
inference(avatar_split_clause,[],[f380,f165,f109,f169,f172,f175]) ).
fof(f109,plain,
( spl9_2
<=> sQ8_eqProxy(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f165,plain,
( spl9_8
<=> in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f380,plain,
( ! [X2,X3,X0,X1] :
( ~ subset(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(X2,X3))
| ~ subset(cartesian_product2(set_intersection2(sK4,sK3),sK5),cartesian_product2(X0,X1))
| in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(set_intersection2(sK4,sK3),sK5)) )
| spl9_2
| spl9_8 ),
inference(subsumption_resolution,[],[f378,f167]) ).
fof(f167,plain,
( ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)))
| spl9_8 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f378,plain,
( ! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(set_intersection2(sK4,sK3),sK5))
| ~ subset(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(X2,X3))
| ~ subset(cartesian_product2(set_intersection2(sK4,sK3),sK5),cartesian_product2(X0,X1))
| in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5))) )
| spl9_2 ),
inference(resolution,[],[f111,f96]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4,X5] :
( sQ8_eqProxy(X4,X5)
| ~ subset(X5,cartesian_product2(X0,X3))
| in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X4)
| ~ subset(X4,cartesian_product2(X1,X2))
| in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5) ),
inference(equality_proxy_replacement,[],[f83,f92]) ).
fof(f92,plain,
! [X0,X1] :
( sQ8_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ8_eqProxy])]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X4)
| in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5)
| X4 = X5
| ~ subset(X4,cartesian_product2(X1,X2))
| ~ subset(X5,cartesian_product2(X0,X3)) ),
inference(definition_unfolding,[],[f63,f65,f65]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5)
| X4 = X5
| ~ subset(X4,cartesian_product2(X1,X2))
| ~ subset(X5,cartesian_product2(X0,X3)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) )
& ( in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) ) )
| X4 = X5
| ~ subset(X4,cartesian_product2(X1,X2))
| ~ subset(X5,cartesian_product2(X0,X3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f39,f40]) ).
fof(f40,plain,
! [X4,X5] :
( ? [X6,X7] :
( ( ~ in(ordered_pair(X7,X6),X4)
| ~ in(ordered_pair(X7,X6),X5) )
& ( in(ordered_pair(X7,X6),X4)
| in(ordered_pair(X7,X6),X5) ) )
=> ( ( ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) )
& ( in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7] :
( ( ~ in(ordered_pair(X7,X6),X4)
| ~ in(ordered_pair(X7,X6),X5) )
& ( in(ordered_pair(X7,X6),X4)
| in(ordered_pair(X7,X6),X5) ) )
| X4 = X5
| ~ subset(X4,cartesian_product2(X1,X2))
| ~ subset(X5,cartesian_product2(X0,X3)) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X3,X5,X4,X2] :
( ? [X6,X7] :
( ( ~ in(ordered_pair(X7,X6),X4)
| ~ in(ordered_pair(X7,X6),X2) )
& ( in(ordered_pair(X7,X6),X4)
| in(ordered_pair(X7,X6),X2) ) )
| X2 = X4
| ~ subset(X4,cartesian_product2(X1,X3))
| ~ subset(X2,cartesian_product2(X0,X5)) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X3,X5,X4,X2] :
( ? [X6,X7] :
( in(ordered_pair(X7,X6),X2)
<~> in(ordered_pair(X7,X6),X4) )
| X2 = X4
| ~ subset(X4,cartesian_product2(X1,X3))
| ~ subset(X2,cartesian_product2(X0,X5)) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X4,X2,X5,X0,X1,X3] :
( X2 = X4
| ~ subset(X2,cartesian_product2(X0,X5))
| ~ subset(X4,cartesian_product2(X1,X3))
| ? [X6,X7] :
( in(ordered_pair(X7,X6),X2)
<~> in(ordered_pair(X7,X6),X4) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X4,X2,X5,X0,X1,X3] :
( ( subset(X2,cartesian_product2(X0,X5))
& subset(X4,cartesian_product2(X1,X3))
& ! [X7,X6] :
( in(ordered_pair(X7,X6),X2)
<=> in(ordered_pair(X7,X6),X4) ) )
=> X2 = X4 ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X1,X3,X2,X0,X5] :
( ( subset(X3,cartesian_product2(X4,X5))
& ! [X7,X6] :
( in(ordered_pair(X6,X7),X0)
<=> in(ordered_pair(X6,X7),X3) )
& subset(X0,cartesian_product2(X1,X2)) )
=> X0 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_zfmisc_1) ).
fof(f111,plain,
( ~ sQ8_eqProxy(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))
| spl9_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f373,plain,
( spl9_23
| ~ spl9_25
| ~ spl9_26 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| spl9_23
| ~ spl9_25
| ~ spl9_26 ),
inference(subsumption_resolution,[],[f371,f363]) ).
fof(f363,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK4)
| ~ spl9_26 ),
inference(resolution,[],[f321,f89]) ).
fof(f321,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),set_intersection2(sK4,sK3))
| ~ spl9_26 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f371,plain,
( ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK4)
| spl9_23
| ~ spl9_25 ),
inference(subsumption_resolution,[],[f370,f315]) ).
fof(f370,plain,
( ~ in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK4)
| spl9_23 ),
inference(resolution,[],[f290,f85]) ).
fof(f290,plain,
( ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK4))
| spl9_23 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl9_23
<=> in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_23])]) ).
fof(f361,plain,
( ~ spl9_23
| ~ spl9_24
| spl9_26 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl9_23
| ~ spl9_24
| spl9_26 ),
inference(subsumption_resolution,[],[f357,f351]) ).
fof(f351,plain,
( ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK4)
| ~ spl9_24
| spl9_26 ),
inference(subsumption_resolution,[],[f350,f311]) ).
fof(f311,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK3)
| ~ spl9_24 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl9_24
<=> in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).
fof(f350,plain,
( ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK4)
| ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK3)
| spl9_26 ),
inference(resolution,[],[f322,f91]) ).
fof(f91,plain,
! [X2,X1,X4] :
( in(X4,set_intersection2(X2,X1))
| ~ in(X4,X2)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ in(X4,X1)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f322,plain,
( ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),set_intersection2(sK4,sK3))
| spl9_26 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f357,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK4)
| ~ spl9_23 ),
inference(resolution,[],[f289,f87]) ).
fof(f289,plain,
( in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK4))
| ~ spl9_23 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f355,plain,
( spl9_23
| ~ spl9_17 ),
inference(avatar_split_clause,[],[f353,f207,f288]) ).
fof(f207,plain,
( spl9_17
<=> in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f353,plain,
( in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK4))
| ~ spl9_17 ),
inference(resolution,[],[f208,f89]) ).
fof(f208,plain,
( in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f347,plain,
( spl9_24
| ~ spl9_22 ),
inference(avatar_split_clause,[],[f339,f284,f310]) ).
fof(f284,plain,
( spl9_22
<=> in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).
fof(f339,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK3)
| ~ spl9_22 ),
inference(resolution,[],[f285,f87]) ).
fof(f285,plain,
( in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK3))
| ~ spl9_22 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f346,plain,
( spl9_25
| ~ spl9_22 ),
inference(avatar_split_clause,[],[f340,f284,f314]) ).
fof(f340,plain,
( in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| ~ spl9_22 ),
inference(resolution,[],[f285,f86]) ).
fof(f335,plain,
( spl9_25
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f332,f203,f314]) ).
fof(f332,plain,
( in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| ~ spl9_16 ),
inference(resolution,[],[f204,f86]) ).
fof(f204,plain,
( in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,set_intersection2(sK4,sK3)))
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f334,plain,
( spl9_26
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f331,f203,f320]) ).
fof(f331,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),set_intersection2(sK4,sK3))
| ~ spl9_16 ),
inference(resolution,[],[f204,f87]) ).
fof(f329,plain,
( ~ spl9_17
| spl9_22 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl9_17
| spl9_22 ),
inference(subsumption_resolution,[],[f324,f286]) ).
fof(f286,plain,
( ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK3))
| spl9_22 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f324,plain,
( in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK3))
| ~ spl9_17 ),
inference(resolution,[],[f208,f90]) ).
fof(f308,plain,
( ~ spl9_16
| spl9_22 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl9_16
| spl9_22 ),
inference(subsumption_resolution,[],[f306,f278]) ).
fof(f278,plain,
( in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| ~ spl9_16 ),
inference(resolution,[],[f204,f86]) ).
fof(f306,plain,
( ~ in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| ~ spl9_16
| spl9_22 ),
inference(subsumption_resolution,[],[f305,f292]) ).
fof(f292,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK3)
| ~ spl9_16 ),
inference(resolution,[],[f277,f90]) ).
fof(f277,plain,
( in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),set_intersection2(sK4,sK3))
| ~ spl9_16 ),
inference(resolution,[],[f204,f87]) ).
fof(f305,plain,
( ~ in(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK5)
| ~ in(sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK3)
| spl9_22 ),
inference(resolution,[],[f286,f85]) ).
fof(f304,plain,
( ~ spl9_19
| ~ spl9_21
| spl9_13 ),
inference(avatar_split_clause,[],[f303,f185,f243,f227]) ).
fof(f185,plain,
( spl9_13
<=> in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK3,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f303,plain,
( ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK3)
| ~ in(sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK5)
| spl9_13 ),
inference(resolution,[],[f187,f85]) ).
fof(f187,plain,
( ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK3,sK5))
| spl9_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f301,plain,
( spl9_21
| ~ spl9_13 ),
inference(avatar_split_clause,[],[f299,f185,f243]) ).
fof(f299,plain,
( in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK3)
| ~ spl9_13 ),
inference(resolution,[],[f186,f86]) ).
fof(f186,plain,
( in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK3,sK5))
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f291,plain,
( ~ spl9_22
| ~ spl9_23
| spl9_17 ),
inference(avatar_split_clause,[],[f282,f207,f288,f284]) ).
fof(f282,plain,
( ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK4))
| ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,sK3))
| spl9_17 ),
inference(resolution,[],[f209,f91]) ).
fof(f209,plain,
( ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))
| spl9_17 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f270,plain,
~ spl9_15,
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl9_15 ),
inference(resolution,[],[f201,f61]) ).
fof(f201,plain,
( ! [X4,X5] : ~ subset(cartesian_product2(sK5,set_intersection2(sK4,sK3)),cartesian_product2(X4,X5))
| ~ spl9_15 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl9_15
<=> ! [X4,X5] : ~ subset(cartesian_product2(sK5,set_intersection2(sK4,sK3)),cartesian_product2(X4,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
fof(f267,plain,
( spl9_15
| spl9_16
| spl9_14
| spl9_17
| spl9_1 ),
inference(avatar_split_clause,[],[f264,f105,f207,f197,f203,f200]) ).
fof(f197,plain,
( spl9_14
<=> ! [X6,X7] : ~ subset(set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)),cartesian_product2(X6,X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f105,plain,
( spl9_1
<=> sQ8_eqProxy(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f264,plain,
( ! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))
| ~ subset(set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)),cartesian_product2(X0,X1))
| in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,set_intersection2(sK4,sK3)))
| ~ subset(cartesian_product2(sK5,set_intersection2(sK4,sK3)),cartesian_product2(X2,X3)) )
| spl9_1 ),
inference(resolution,[],[f107,f96]) ).
fof(f107,plain,
( ~ sQ8_eqProxy(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))
| spl9_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f266,plain,
( ~ spl9_17
| spl9_14
| ~ spl9_16
| spl9_15
| spl9_1 ),
inference(avatar_split_clause,[],[f265,f105,f200,f203,f197,f207]) ).
fof(f265,plain,
( ! [X6,X7,X4,X5] :
( ~ subset(cartesian_product2(sK5,set_intersection2(sK4,sK3)),cartesian_product2(X4,X5))
| ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),cartesian_product2(sK5,set_intersection2(sK4,sK3)))
| ~ subset(set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)),cartesian_product2(X6,X7))
| ~ in(unordered_pair(unordered_pair(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))),sK1(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)))),singleton(sK2(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))))),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))) )
| spl9_1 ),
inference(resolution,[],[f107,f95]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X4,X5] :
( sQ8_eqProxy(X4,X5)
| ~ subset(X4,cartesian_product2(X1,X2))
| ~ subset(X5,cartesian_product2(X0,X3))
| ~ in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5)
| ~ in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X4) ),
inference(equality_proxy_replacement,[],[f82,f92]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X4)
| ~ in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5)
| X4 = X5
| ~ subset(X4,cartesian_product2(X1,X2))
| ~ subset(X5,cartesian_product2(X0,X3)) ),
inference(definition_unfolding,[],[f64,f65,f65]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5)
| X4 = X5
| ~ subset(X4,cartesian_product2(X1,X2))
| ~ subset(X5,cartesian_product2(X0,X3)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f262,plain,
~ spl9_14,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| ~ spl9_14 ),
inference(resolution,[],[f198,f66]) ).
fof(f198,plain,
( ! [X6,X7] : ~ subset(set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)),cartesian_product2(X6,X7))
| ~ spl9_14 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f253,plain,
( spl9_19
| ~ spl9_12 ),
inference(avatar_split_clause,[],[f248,f181,f227]) ).
fof(f248,plain,
( in(sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK5)
| ~ spl9_12 ),
inference(resolution,[],[f182,f87]) ).
fof(f182,plain,
( in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK4,sK5))
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f252,plain,
( ~ spl9_12
| spl9_20 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| ~ spl9_12
| spl9_20 ),
inference(subsumption_resolution,[],[f249,f241]) ).
fof(f249,plain,
( in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK4)
| ~ spl9_12 ),
inference(resolution,[],[f182,f86]) ).
fof(f246,plain,
( ~ spl9_20
| ~ spl9_21
| spl9_18 ),
inference(avatar_split_clause,[],[f237,f223,f243,f239]) ).
fof(f237,plain,
( ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK3)
| ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK4)
| spl9_18 ),
inference(resolution,[],[f225,f91]) ).
fof(f225,plain,
( ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),set_intersection2(sK4,sK3))
| spl9_18 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f236,plain,
( spl9_12
| ~ spl9_8 ),
inference(avatar_split_clause,[],[f233,f165,f181]) ).
fof(f233,plain,
( in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK4,sK5))
| ~ spl9_8 ),
inference(resolution,[],[f166,f89]) ).
fof(f166,plain,
( in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)))
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f235,plain,
( spl9_13
| ~ spl9_8 ),
inference(avatar_split_clause,[],[f232,f165,f185]) ).
fof(f232,plain,
( in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK3,sK5))
| ~ spl9_8 ),
inference(resolution,[],[f166,f90]) ).
fof(f230,plain,
( ~ spl9_18
| ~ spl9_19
| spl9_11 ),
inference(avatar_split_clause,[],[f221,f175,f227,f223]) ).
fof(f221,plain,
( ~ in(sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK5)
| ~ in(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),set_intersection2(sK4,sK3))
| spl9_11 ),
inference(resolution,[],[f177,f85]) ).
fof(f177,plain,
( ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(set_intersection2(sK4,sK3),sK5))
| spl9_11 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f219,plain,
( ~ spl9_11
| spl9_10
| spl9_9
| ~ spl9_8
| spl9_2 ),
inference(avatar_split_clause,[],[f218,f109,f165,f169,f172,f175]) ).
fof(f218,plain,
( ! [X6,X7,X4,X5] :
( ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)))
| ~ subset(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(X4,X5))
| ~ subset(cartesian_product2(set_intersection2(sK4,sK3),sK5),cartesian_product2(X6,X7))
| ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(set_intersection2(sK4,sK3),sK5)) )
| spl9_2 ),
inference(resolution,[],[f111,f95]) ).
fof(f188,plain,
( ~ spl9_12
| ~ spl9_13
| spl9_8 ),
inference(avatar_split_clause,[],[f179,f165,f185,f181]) ).
fof(f179,plain,
( ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK3,sK5))
| ~ in(unordered_pair(unordered_pair(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)),sK1(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))),singleton(sK2(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5)))),cartesian_product2(sK4,sK5))
| spl9_8 ),
inference(resolution,[],[f167,f91]) ).
fof(f112,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f98,f109,f105]) ).
fof(f98,plain,
( ~ sQ8_eqProxy(set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)),cartesian_product2(set_intersection2(sK4,sK3),sK5))
| ~ sQ8_eqProxy(cartesian_product2(sK5,set_intersection2(sK4,sK3)),set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3))) ),
inference(equality_proxy_replacement,[],[f72,f92,f92]) ).
fof(f72,plain,
( set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)) != cartesian_product2(set_intersection2(sK4,sK3),sK5)
| cartesian_product2(sK5,set_intersection2(sK4,sK3)) != set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)) != cartesian_product2(set_intersection2(sK4,sK3),sK5)
| cartesian_product2(sK5,set_intersection2(sK4,sK3)) != set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2] :
( cartesian_product2(set_intersection2(X1,X0),X2) != set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X0,X2))
| set_intersection2(cartesian_product2(X2,X1),cartesian_product2(X2,X0)) != cartesian_product2(X2,set_intersection2(X1,X0)) )
=> ( set_intersection2(cartesian_product2(sK4,sK5),cartesian_product2(sK3,sK5)) != cartesian_product2(set_intersection2(sK4,sK3),sK5)
| cartesian_product2(sK5,set_intersection2(sK4,sK3)) != set_intersection2(cartesian_product2(sK5,sK4),cartesian_product2(sK5,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2] :
( cartesian_product2(set_intersection2(X1,X0),X2) != set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X0,X2))
| set_intersection2(cartesian_product2(X2,X1),cartesian_product2(X2,X0)) != cartesian_product2(X2,set_intersection2(X1,X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X2,X0,X1] :
( cartesian_product2(set_intersection2(X0,X2),X1) != set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X1))
| set_intersection2(cartesian_product2(X1,X0),cartesian_product2(X1,X2)) != cartesian_product2(X1,set_intersection2(X0,X2)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X2,X1,X0] :
( cartesian_product2(set_intersection2(X0,X2),X1) = set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X1))
& set_intersection2(cartesian_product2(X1,X0),cartesian_product2(X1,X2)) = cartesian_product2(X1,set_intersection2(X0,X2)) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X2,X1] :
( cartesian_product2(X2,set_intersection2(X0,X1)) = set_intersection2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& cartesian_product2(set_intersection2(X0,X1),X2) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X2,X1] :
( cartesian_product2(X2,set_intersection2(X0,X1)) = set_intersection2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& cartesian_product2(set_intersection2(X0,X1),X2) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t122_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET969+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.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 14:29:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (29014)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)
% 0.20/0.48 % (29014)Refutation not found, incomplete strategy% (29014)------------------------------
% 0.20/0.48 % (29014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (29006)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)
% 0.20/0.48 % (29014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (29014)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (29014)Memory used [KB]: 1535
% 0.20/0.48 % (29014)Time elapsed: 0.073 s
% 0.20/0.48 % (29014)Instructions burned: 2 (million)
% 0.20/0.48 % (29014)------------------------------
% 0.20/0.48 % (29014)------------------------------
% 0.20/0.49 % (29006)Instruction limit reached!
% 0.20/0.49 % (29006)------------------------------
% 0.20/0.49 % (29006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (29006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (29006)Termination reason: Unknown
% 0.20/0.49 % (29006)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (29006)Memory used [KB]: 6012
% 0.20/0.49 % (29006)Time elapsed: 0.077 s
% 0.20/0.49 % (29006)Instructions burned: 7 (million)
% 0.20/0.49 % (29006)------------------------------
% 0.20/0.49 % (29006)------------------------------
% 0.20/0.51 % (29011)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.51 % (29012)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)
% 0.20/0.52 % (28995)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (28997)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)
% 0.20/0.52 % (28991)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (28998)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (28998)Refutation not found, incomplete strategy% (28998)------------------------------
% 0.20/0.52 % (28998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28998)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (28998)Memory used [KB]: 6012
% 0.20/0.52 % (28998)Time elapsed: 0.112 s
% 0.20/0.52 % (28998)Instructions burned: 2 (million)
% 0.20/0.52 % (28998)------------------------------
% 0.20/0.52 % (28998)------------------------------
% 0.20/0.53 % (29013)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)
% 0.20/0.53 % (29015)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)
% 0.20/0.53 % (29020)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)
% 0.20/0.53 % (29009)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)
% 0.20/0.53 % (29004)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (28994)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)
% 0.20/0.53 % (29003)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53 % (29004)Refutation not found, incomplete strategy% (29004)------------------------------
% 0.20/0.53 % (29004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29004)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (29004)Memory used [KB]: 6012
% 0.20/0.53 % (29004)Time elapsed: 0.128 s
% 0.20/0.53 % (29004)Instructions burned: 3 (million)
% 0.20/0.53 % (29004)------------------------------
% 0.20/0.53 % (29004)------------------------------
% 0.20/0.53 % (28994)Refutation not found, incomplete strategy% (28994)------------------------------
% 0.20/0.53 % (28994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28994)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28994)Memory used [KB]: 6012
% 0.20/0.53 % (28994)Time elapsed: 0.127 s
% 0.20/0.53 % (28994)Instructions burned: 2 (million)
% 0.20/0.53 % (28994)------------------------------
% 0.20/0.53 % (28994)------------------------------
% 0.20/0.53 % (29003)Refutation not found, incomplete strategy% (29003)------------------------------
% 0.20/0.53 % (29003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29003)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (29003)Memory used [KB]: 1407
% 0.20/0.53 % (29003)Time elapsed: 0.127 s
% 0.20/0.53 % (29003)Instructions burned: 3 (million)
% 0.20/0.53 % (29003)------------------------------
% 0.20/0.53 % (29003)------------------------------
% 0.20/0.53 % (29007)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)
% 0.20/0.53 % (29005)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)
% 0.20/0.54 % (28993)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)
% 0.20/0.54 % (29002)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (29000)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)
% 0.20/0.54 % (28993)Refutation not found, incomplete strategy% (28993)------------------------------
% 0.20/0.54 % (28993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (28993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (28993)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (28993)Memory used [KB]: 5884
% 0.20/0.54 % (28993)Time elapsed: 0.132 s
% 0.20/0.54 % (28993)Instructions burned: 2 (million)
% 0.20/0.54 % (28993)------------------------------
% 0.20/0.54 % (28993)------------------------------
% 0.20/0.54 % (29007)Refutation not found, incomplete strategy% (29007)------------------------------
% 0.20/0.54 % (29007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29007)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29000)Refutation not found, incomplete strategy% (29000)------------------------------
% 0.20/0.54 % (29000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29000)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29000)Memory used [KB]: 5884
% 0.20/0.54 % (29000)Time elapsed: 0.123 s
% 0.20/0.54 % (29000)Instructions burned: 2 (million)
% 0.20/0.54 % (29000)------------------------------
% 0.20/0.54 % (29000)------------------------------
% 0.20/0.54 % (29007)Memory used [KB]: 6012
% 0.20/0.54 % (29007)Time elapsed: 0.140 s
% 0.20/0.54 % (29007)Instructions burned: 3 (million)
% 0.20/0.54 % (29007)------------------------------
% 0.20/0.54 % (29007)------------------------------
% 0.20/0.54 % (29015)First to succeed.
% 0.20/0.54 % (29017)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)
% 0.20/0.54 % (29002)Refutation not found, incomplete strategy% (29002)------------------------------
% 0.20/0.54 % (29002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29002)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29002)Memory used [KB]: 6012
% 0.20/0.54 % (29002)Time elapsed: 0.138 s
% 0.20/0.54 % (29002)Instructions burned: 6 (million)
% 0.20/0.54 % (29002)------------------------------
% 0.20/0.54 % (29002)------------------------------
% 0.20/0.54 % (29005)Instruction limit reached!
% 0.20/0.54 % (29005)------------------------------
% 0.20/0.54 % (29005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29005)Termination reason: Unknown
% 0.20/0.54 % (29005)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29005)Memory used [KB]: 6012
% 0.20/0.54 % (29005)Time elapsed: 0.005 s
% 0.20/0.54 % (29005)Instructions burned: 3 (million)
% 0.20/0.54 % (29005)------------------------------
% 0.20/0.54 % (29005)------------------------------
% 0.20/0.54 % (29012)Refutation not found, incomplete strategy% (29012)------------------------------
% 0.20/0.54 % (29012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29012)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29012)Memory used [KB]: 6012
% 0.20/0.54 % (29012)Time elapsed: 0.141 s
% 0.20/0.54 % (29012)Instructions burned: 3 (million)
% 0.20/0.54 % (29012)------------------------------
% 0.20/0.54 % (29012)------------------------------
% 0.20/0.54 % (29010)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54 % (29017)Refutation not found, incomplete strategy% (29017)------------------------------
% 0.20/0.54 % (29017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29017)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29017)Memory used [KB]: 6012
% 0.20/0.54 % (29017)Time elapsed: 0.139 s
% 0.20/0.54 % (29017)Instructions burned: 4 (million)
% 0.20/0.54 % (29017)------------------------------
% 0.20/0.54 % (29017)------------------------------
% 0.20/0.54 % (29010)Refutation not found, incomplete strategy% (29010)------------------------------
% 0.20/0.54 % (29010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29010)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29010)Memory used [KB]: 6012
% 0.20/0.54 % (29010)Time elapsed: 0.142 s
% 0.20/0.54 % (29010)Instructions burned: 3 (million)
% 0.20/0.54 % (29010)------------------------------
% 0.20/0.54 % (29010)------------------------------
% 0.20/0.54 % (29001)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54 % (29019)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)
% 0.20/0.54 % (28995)Instruction limit reached!
% 0.20/0.54 % (28995)------------------------------
% 0.20/0.54 % (28995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (28995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (28995)Termination reason: Unknown
% 0.20/0.54 % (28995)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (28995)Memory used [KB]: 6140
% 0.20/0.54 % (28995)Time elapsed: 0.122 s
% 0.20/0.54 % (28995)Instructions burned: 14 (million)
% 0.20/0.54 % (28995)------------------------------
% 0.20/0.54 % (28995)------------------------------
% 0.20/0.54 % (28999)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)
% 0.20/0.54 % (29018)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)
% 0.20/0.54 % (29008)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (28999)Refutation not found, incomplete strategy% (28999)------------------------------
% 0.20/0.54 % (28999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (28999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (28999)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (28999)Memory used [KB]: 5884
% 0.20/0.54 % (28999)Time elapsed: 0.136 s
% 0.20/0.54 % (28999)Instructions burned: 2 (million)
% 0.20/0.54 % (28999)------------------------------
% 0.20/0.54 % (28999)------------------------------
% 0.20/0.54 % (28996)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)
% 0.20/0.54 % (29008)Instruction limit reached!
% 0.20/0.54 % (29008)------------------------------
% 0.20/0.54 % (29008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29008)Termination reason: Unknown
% 0.20/0.54 % (29008)Termination phase: Finite model building preprocessing
% 0.20/0.54
% 0.20/0.54 % (29008)Memory used [KB]: 1407
% 0.20/0.54 % (29008)Time elapsed: 0.003 s
% 0.20/0.54 % (29008)Instructions burned: 3 (million)
% 0.20/0.54 % (29008)------------------------------
% 0.20/0.54 % (29008)------------------------------
% 0.20/0.55 % (28996)Refutation not found, incomplete strategy% (28996)------------------------------
% 0.20/0.55 % (28996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (28996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (28996)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (28996)Memory used [KB]: 1407
% 0.20/0.55 % (28996)Time elapsed: 0.129 s
% 0.20/0.55 % (28996)Instructions burned: 3 (million)
% 0.20/0.55 % (28996)------------------------------
% 0.20/0.55 % (28996)------------------------------
% 0.20/0.55 % (29016)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)
% 0.20/0.55 % (29001)Instruction limit reached!
% 0.20/0.55 % (29001)------------------------------
% 0.20/0.55 % (29001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29001)Termination reason: Unknown
% 0.20/0.55 % (29001)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (29001)Memory used [KB]: 6140
% 0.20/0.55 % (29001)Time elapsed: 0.144 s
% 0.20/0.55 % (29001)Instructions burned: 13 (million)
% 0.20/0.55 % (29001)------------------------------
% 0.20/0.55 % (29001)------------------------------
% 0.20/0.55 % (29009)Instruction limit reached!
% 0.20/0.55 % (29009)------------------------------
% 0.20/0.55 % (29009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29009)Termination reason: Unknown
% 0.20/0.55 % (29009)Termination phase: Naming
% 0.20/0.55
% 0.20/0.55 % (29009)Memory used [KB]: 1407
% 0.20/0.55 % (29009)Time elapsed: 0.002 s
% 0.20/0.55 % (29009)Instructions burned: 2 (million)
% 0.20/0.55 % (29009)------------------------------
% 0.20/0.55 % (29009)------------------------------
% 0.20/0.55 % (29019)Refutation not found, incomplete strategy% (29019)------------------------------
% 0.20/0.55 % (29019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29019)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (29019)Memory used [KB]: 6012
% 0.20/0.55 % (29019)Time elapsed: 0.144 s
% 0.20/0.55 % (29019)Instructions burned: 3 (million)
% 0.20/0.55 % (29019)------------------------------
% 0.20/0.55 % (29019)------------------------------
% 0.20/0.55 % (29011)Instruction limit reached!
% 0.20/0.55 % (29011)------------------------------
% 0.20/0.55 % (29011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29018)Instruction limit reached!
% 0.20/0.55 % (29018)------------------------------
% 0.20/0.55 % (29018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29011)Termination reason: Unknown
% 0.20/0.55 % (29018)Termination reason: Unknown
% 0.20/0.55 % (29011)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (29018)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (29011)Memory used [KB]: 6268
% 0.20/0.55 % (29018)Memory used [KB]: 6268
% 0.20/0.55 % (29011)Time elapsed: 0.153 s
% 0.20/0.55 % (29018)Time elapsed: 0.161 s
% 0.20/0.55 % (29011)Instructions burned: 30 (million)
% 0.20/0.55 % (29018)Instructions burned: 25 (million)
% 0.20/0.55 % (29011)------------------------------
% 0.20/0.55 % (29011)------------------------------
% 0.20/0.55 % (29018)------------------------------
% 0.20/0.55 % (29018)------------------------------
% 0.20/0.56 % (28992)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)
% 0.20/0.56 % (28992)Refutation not found, incomplete strategy% (28992)------------------------------
% 0.20/0.56 % (28992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28992)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (28992)Memory used [KB]: 5884
% 0.20/0.56 % (28992)Time elapsed: 0.144 s
% 0.20/0.56 % (28992)Instructions burned: 3 (million)
% 0.20/0.56 % (28992)------------------------------
% 0.20/0.56 % (28992)------------------------------
% 0.20/0.57 % (28997)Instruction limit reached!
% 0.20/0.57 % (28997)------------------------------
% 0.20/0.57 % (28997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (28997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (28997)Termination reason: Unknown
% 0.20/0.57 % (28997)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (28997)Memory used [KB]: 6396
% 0.20/0.57 % (28997)Time elapsed: 0.155 s
% 0.20/0.57 % (28997)Instructions burned: 41 (million)
% 0.20/0.57 % (28997)------------------------------
% 0.20/0.57 % (28997)------------------------------
% 0.20/0.58 % (29015)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (29015)------------------------------
% 0.20/0.58 % (29015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (29015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (29015)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (29015)Memory used [KB]: 6140
% 0.20/0.58 % (29015)Time elapsed: 0.141 s
% 0.20/0.58 % (29015)Instructions burned: 11 (million)
% 0.20/0.58 % (29015)------------------------------
% 0.20/0.58 % (29015)------------------------------
% 0.20/0.58 % (28990)Success in time 0.227 s
%------------------------------------------------------------------------------