TSTP Solution File: SEU138+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU138+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 18:32:05 EDT 2022
% Result : Theorem 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 14 unt; 0 def)
% Number of atoms : 301 ( 43 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 378 ( 151 ~; 145 |; 67 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 148 ( 131 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(subsumption_resolution,[],[f221,f214]) ).
fof(f214,plain,
in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),sK2),
inference(resolution,[],[f210,f99]) ).
fof(f99,plain,
! [X2,X3,X1] :
( ~ in(X3,set_intersection2(X2,X1))
| in(X3,X1) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X2) )
| ~ in(X3,X0) ) )
| set_intersection2(X2,X1) != X0 )
& ( set_intersection2(X2,X1) = X0
| ( ( ~ in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X2)
| ~ in(sK4(X0,X1,X2),X0) )
& ( ( in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),X2) )
| in(sK4(X0,X1,X2),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X2)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X2) )
| in(X4,X0) ) )
=> ( ( ~ in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X2)
| ~ in(sK4(X0,X1,X2),X0) )
& ( ( in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),X2) )
| in(sK4(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X2) )
| ~ in(X3,X0) ) )
| set_intersection2(X2,X1) != X0 )
& ( set_intersection2(X2,X1) = X0
| ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X2)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X2) )
| in(X4,X0) ) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) ) )
| set_intersection2(X2,X0) != X1 )
& ( set_intersection2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X2) )
| in(X3,X1) ) ) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) ) )
| set_intersection2(X2,X0) != X1 )
& ( set_intersection2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X2) )
| in(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ! [X3] :
( in(X3,X1)
<=> ( in(X3,X0)
& in(X3,X2) ) )
<=> set_intersection2(X2,X0) = X1 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f210,plain,
in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2)),
inference(subsumption_resolution,[],[f209,f175]) ).
fof(f175,plain,
( in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK2)
| in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2)) ),
inference(subsumption_resolution,[],[f168,f143]) ).
fof(f143,plain,
( in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK1)
| in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2)) ),
inference(resolution,[],[f141,f97]) ).
fof(f97,plain,
! [X2,X3,X1] :
( ~ in(X3,set_difference(X2,X1))
| in(X3,X2) ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(X3,X0)
| set_difference(X2,X1) != X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X2) )
| ~ in(X3,X0) ) )
| set_difference(X2,X1) != X0 )
& ( set_difference(X2,X1) = X0
| ( ( in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X2)
| ~ in(sK3(X0,X1,X2),X0) )
& ( ( ~ in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X2) )
| in(sK3(X0,X1,X2),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f45,f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( in(X4,X1)
| ~ in(X4,X2)
| ~ in(X4,X0) )
& ( ( ~ in(X4,X1)
& in(X4,X2) )
| in(X4,X0) ) )
=> ( ( in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X2)
| ~ in(sK3(X0,X1,X2),X0) )
& ( ( ~ in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X2) )
| in(sK3(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X2) )
| ~ in(X3,X0) ) )
| set_difference(X2,X1) != X0 )
& ( set_difference(X2,X1) = X0
| ? [X4] :
( ( in(X4,X1)
| ~ in(X4,X2)
| ~ in(X4,X0) )
& ( ( ~ in(X4,X1)
& in(X4,X2) )
| in(X4,X0) ) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 )
& ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 )
& ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) )
<=> set_difference(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f141,plain,
( in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_difference(sK1,set_difference(sK1,sK2)))
| in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2)) ),
inference(resolution,[],[f137,f93]) ).
fof(f93,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK6(X0,X1),X0)
& ~ in(sK6(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f59,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK6(X0,X1),X0)
& ~ in(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f137,plain,
( ~ subset(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2)))
| in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(resolution,[],[f132,f93]) ).
fof(f132,plain,
( ~ subset(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2))
| ~ subset(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(extensionality_resolution,[],[f88,f69]) ).
fof(f69,plain,
set_intersection2(sK1,sK2) != set_difference(sK1,set_difference(sK1,sK2)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
set_intersection2(sK1,sK2) != set_difference(sK1,set_difference(sK1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f40,f41]) ).
fof(f41,plain,
( ? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1))
=> set_intersection2(sK1,sK2) != set_difference(sK1,set_difference(sK1,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1)),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X0] : set_intersection2(X1,X0) != set_difference(X1,set_difference(X1,X0)),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X1,X0] : set_intersection2(X1,X0) = set_difference(X1,set_difference(X1,X0)),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X0] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X0] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f88,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f168,plain,
( ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK1)
| in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK2)
| in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2)) ),
inference(resolution,[],[f95,f144]) ).
fof(f144,plain,
( ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_difference(sK1,sK2))
| in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2)) ),
inference(resolution,[],[f141,f96]) ).
fof(f96,plain,
! [X2,X3,X1] :
( ~ in(X3,set_difference(X2,X1))
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| ~ in(X3,X0)
| set_difference(X2,X1) != X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f95,plain,
! [X2,X3,X1] :
( in(X3,set_difference(X2,X1))
| ~ in(X3,X2)
| in(X3,X1) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2)
| set_difference(X2,X1) != X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f209,plain,
( in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2))
| ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK2) ),
inference(subsumption_resolution,[],[f202,f143]) ).
fof(f202,plain,
( ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK1)
| in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2))
| ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK2) ),
inference(resolution,[],[f98,f139]) ).
fof(f139,plain,
( ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_intersection2(sK1,sK2))
| in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_intersection2(sK1,sK2)) ),
inference(resolution,[],[f138,f93]) ).
fof(f138,plain,
( ~ subset(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2)))
| ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_intersection2(sK1,sK2)) ),
inference(resolution,[],[f132,f92]) ).
fof(f92,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f98,plain,
! [X2,X3,X1] :
( in(X3,set_intersection2(X2,X1))
| ~ in(X3,X1)
| ~ in(X3,X2) ),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f221,plain,
~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),sK2),
inference(resolution,[],[f218,f96]) ).
fof(f218,plain,
in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,sK2)),
inference(subsumption_resolution,[],[f217,f213]) ).
fof(f213,plain,
in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),sK1),
inference(resolution,[],[f210,f100]) ).
fof(f100,plain,
! [X2,X3,X1] :
( ~ in(X3,set_intersection2(X2,X1))
| in(X3,X2) ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(X3,X0)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f217,plain,
( in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,sK2))
| ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),sK1) ),
inference(resolution,[],[f212,f95]) ).
fof(f212,plain,
~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2))),
inference(subsumption_resolution,[],[f211,f146]) ).
fof(f146,plain,
( in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK1)
| ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(resolution,[],[f142,f97]) ).
fof(f142,plain,
( in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_difference(sK1,set_difference(sK1,sK2)))
| ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(resolution,[],[f137,f92]) ).
fof(f211,plain,
( ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK1)
| ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(subsumption_resolution,[],[f201,f174]) ).
fof(f174,plain,
( in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK2)
| ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(subsumption_resolution,[],[f167,f146]) ).
fof(f167,plain,
( ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2)))
| ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK1)
| in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK2) ),
inference(resolution,[],[f95,f147]) ).
fof(f147,plain,
( ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_difference(sK1,sK2))
| ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(resolution,[],[f142,f96]) ).
fof(f201,plain,
( ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2)))
| ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK2)
| ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),sK1) ),
inference(resolution,[],[f98,f140]) ).
fof(f140,plain,
( ~ in(sK6(set_difference(sK1,set_difference(sK1,sK2)),set_intersection2(sK1,sK2)),set_intersection2(sK1,sK2))
| ~ in(sK6(set_intersection2(sK1,sK2),set_difference(sK1,set_difference(sK1,sK2))),set_difference(sK1,set_difference(sK1,sK2))) ),
inference(resolution,[],[f138,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU138+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:45:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.47 % (1159)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.48 % (1167)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.50 % (1146)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (1147)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (1165)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.51 % (1148)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (1138)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (1143)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (1142)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (1160)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52 % (1143)Instruction limit reached!
% 0.18/0.52 % (1143)------------------------------
% 0.18/0.52 % (1143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (1143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (1143)Termination reason: Unknown
% 0.18/0.52 % (1143)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (1143)Memory used [KB]: 5373
% 0.18/0.52 % (1143)Time elapsed: 0.126 s
% 0.18/0.52 % (1143)Instructions burned: 3 (million)
% 0.18/0.52 % (1143)------------------------------
% 0.18/0.52 % (1143)------------------------------
% 0.18/0.52 % (1139)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52 % (1137)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (1145)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (1160)First to succeed.
% 0.18/0.53 % (1149)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53 % (1135)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (1144)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (1166)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (1153)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (1161)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.53 % (1162)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 % (1135)Refutation not found, incomplete strategy% (1135)------------------------------
% 0.18/0.53 % (1135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (1135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (1135)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53 % (1135)Memory used [KB]: 5500
% 0.18/0.53 % (1135)Time elapsed: 0.139 s
% 0.18/0.53 % (1135)Instructions burned: 5 (million)
% 0.18/0.53 % (1135)------------------------------
% 0.18/0.53 % (1135)------------------------------
% 0.18/0.53 % (1140)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 % (1142)Instruction limit reached!
% 0.18/0.54 % (1142)------------------------------
% 0.18/0.54 % (1142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (1142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (1142)Termination reason: Unknown
% 0.18/0.54 % (1142)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (1142)Memory used [KB]: 5500
% 0.18/0.54 % (1142)Time elapsed: 0.127 s
% 0.18/0.54 % (1142)Instructions burned: 8 (million)
% 0.18/0.54 % (1142)------------------------------
% 0.18/0.54 % (1142)------------------------------
% 0.18/0.54 TRYING [1]
% 0.18/0.54 TRYING [2]
% 0.18/0.54 % (1151)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54 % (1155)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54 TRYING [3]
% 0.18/0.54 % (1164)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54 % (1150)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.54 % (1136)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.54 % (1134)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.54 TRYING [1]
% 0.18/0.54 TRYING [2]
% 0.18/0.55 TRYING [3]
% 0.18/0.55 % (1163)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.55 % (1160)Refutation found. Thanks to Tanya!
% 0.18/0.55 % SZS status Theorem for theBenchmark
% 0.18/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (1160)------------------------------
% 0.18/0.55 % (1160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (1160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (1160)Termination reason: Refutation
% 0.18/0.55
% 0.18/0.55 % (1160)Memory used [KB]: 1023
% 0.18/0.55 % (1160)Time elapsed: 0.098 s
% 0.18/0.55 % (1160)Instructions burned: 11 (million)
% 0.18/0.55 % (1160)------------------------------
% 0.18/0.55 % (1160)------------------------------
% 0.18/0.55 % (1133)Success in time 0.202 s
%------------------------------------------------------------------------------