TSTP Solution File: SET944+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET944+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.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 : Sat Sep 2 00:05:52 EDT 2023
% Result : Theorem 0.16s 0.77s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 99 ( 30 unt; 0 def)
% Number of atoms : 302 ( 33 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 319 ( 116 ~; 133 |; 50 &)
% ( 14 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 220 (; 202 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12174,plain,
$false,
inference(subsumption_resolution,[],[f12154,f4138]) ).
fof(f4138,plain,
in(sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),union(sK4)),
inference(unit_resulting_resolution,[],[f80,f3560,f59]) ).
fof(f59,plain,
! [X3,X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X0,X3)
| in(X3,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( ~ sP0(X0,sK7(X0,X1))
| ~ in(sK7(X0,X1),X1) )
& ( sP0(X0,sK7(X0,X1))
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ sP0(X0,X3) )
& ( sP0(X0,X3)
| ~ in(X3,X1) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f30,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sP0(X0,X2)
| ~ in(X2,X1) )
& ( sP0(X0,X2)
| in(X2,X1) ) )
=> ( ( ~ sP0(X0,sK7(X0,X1))
| ~ in(sK7(X0,X1),X1) )
& ( sP0(X0,sK7(X0,X1))
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ( ~ sP0(X0,X2)
| ~ in(X2,X1) )
& ( sP0(X0,X2)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ sP0(X0,X3) )
& ( sP0(X0,X3)
| ~ in(X3,X1) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ( ~ sP0(X0,X2)
| ~ in(X2,X1) )
& ( sP0(X0,X2)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ sP0(X0,X2) )
& ( sP0(X0,X2)
| ~ in(X2,X1) ) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> sP0(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3560,plain,
sP0(sK4,sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))),
inference(subsumption_resolution,[],[f3548,f314]) ).
fof(f314,plain,
! [X0] : union(set_intersection2(sK4,sK5)) != set_intersection2(set_intersection2(union(sK4),union(sK5)),X0),
inference(unit_resulting_resolution,[],[f309,f92]) ).
fof(f92,plain,
! [X2,X3,X4] :
( set_intersection2(X3,X2) != X4
| sP3(X2,X3,X4) ),
inference(superposition,[],[f74,f53]) ).
fof(f53,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.Utj48u0Vd5/Vampire---4.8_31550',commutativity_k3_xboole_0) ).
fof(f74,plain,
! [X2,X0,X1] :
( set_intersection2(X0,X1) != X2
| sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP3(X0,X1,X2) )
& ( sP3(X0,X1,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP3(X0,X1,X2) ),
inference(definition_folding,[],[f4,f21,f20]) ).
fof(f20,plain,
! [X1,X3,X0] :
( sP2(X1,X3,X0)
<=> ( in(X3,X1)
& in(X3,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f21,plain,
! [X0,X1,X2] :
( sP3(X0,X1,X2)
<=> ! [X3] :
( in(X3,X2)
<=> sP2(X1,X3,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Utj48u0Vd5/Vampire---4.8_31550',d3_xboole_0) ).
fof(f309,plain,
! [X0] : ~ sP3(X0,set_intersection2(union(sK4),union(sK5)),union(set_intersection2(sK4,sK5))),
inference(unit_resulting_resolution,[],[f124,f243,f67]) ).
fof(f67,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ in(X4,X2)
| sP2(X1,X4,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ( ~ sP2(X1,sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) )
& ( sP2(X1,sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP2(X1,X4,X0) )
& ( sP2(X1,X4,X0)
| ~ in(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sP2(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP2(X1,X3,X0)
| in(X3,X2) ) )
=> ( ( ~ sP2(X1,sK9(X0,X1,X2),X0)
| ~ in(sK9(X0,X1,X2),X2) )
& ( sP2(X1,sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ( ~ sP2(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP2(X1,X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP2(X1,X4,X0) )
& ( sP2(X1,X4,X0)
| ~ in(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ( ~ sP2(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP2(X1,X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ sP2(X1,X3,X0) )
& ( sP2(X1,X3,X0)
| ~ in(X3,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f243,plain,
! [X0] : ~ sP2(set_intersection2(union(sK4),union(sK5)),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),X0),
inference(unit_resulting_resolution,[],[f123,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| in(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ in(X1,X0)
| ~ in(X1,X2) )
& ( ( in(X1,X0)
& in(X1,X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X3,X0] :
( ( sP2(X1,X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ sP2(X1,X3,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X3,X0] :
( ( sP2(X1,X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ sP2(X1,X3,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f123,plain,
~ in(sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),set_intersection2(union(sK4),union(sK5))),
inference(unit_resulting_resolution,[],[f50,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ in(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK6(X0,X1),X1)
& in(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f26,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK6(X0,X1),X1)
& in(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Utj48u0Vd5/Vampire---4.8_31550',d3_tarski) ).
fof(f50,plain,
~ subset(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
~ subset(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f14,f23]) ).
fof(f23,plain,
( ? [X0,X1] : ~ subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1)))
=> ~ subset(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] : ~ subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
inference(ennf_transformation,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
file('/export/starexec/sandbox2/tmp/tmp.Utj48u0Vd5/Vampire---4.8_31550',t97_zfmisc_1) ).
fof(f124,plain,
in(sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),union(set_intersection2(sK4,sK5))),
inference(unit_resulting_resolution,[],[f50,f56]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f3548,plain,
( union(set_intersection2(sK4,sK5)) = set_intersection2(set_intersection2(union(sK4),union(sK5)),union(set_intersection2(sK4,sK5)))
| sP0(sK4,sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))) ),
inference(resolution,[],[f1945,f479]) ).
fof(f479,plain,
! [X3] :
( ~ in(X3,sK8(set_intersection2(sK4,sK5),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))))
| sP0(sK4,X3) ),
inference(resolution,[],[f457,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| sP0(X0,X1)
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| ~ in(X1,X2) ) )
& ( ( in(sK8(X0,X1),X0)
& in(X1,sK8(X0,X1)) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f34,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& in(X1,X3) )
=> ( in(sK8(X0,X1),X0)
& in(X1,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| ~ in(X1,X2) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X1,X3) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X2] :
( ( sP0(X0,X2)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ sP0(X0,X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2] :
( sP0(X0,X2)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f457,plain,
in(sK8(set_intersection2(sK4,sK5),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))),sK4),
inference(unit_resulting_resolution,[],[f435,f72]) ).
fof(f435,plain,
sP2(sK4,sK8(set_intersection2(sK4,sK5),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))),sK5),
inference(unit_resulting_resolution,[],[f89,f219,f67]) ).
fof(f219,plain,
in(sK8(set_intersection2(sK4,sK5),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))),set_intersection2(sK4,sK5)),
inference(unit_resulting_resolution,[],[f206,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| in(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f206,plain,
sP0(set_intersection2(sK4,sK5),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))),
inference(unit_resulting_resolution,[],[f80,f124,f58]) ).
fof(f58,plain,
! [X3,X0,X1] :
( ~ sP1(X0,X1)
| ~ in(X3,X1)
| sP0(X0,X3) ),
inference(cnf_transformation,[],[f32]) ).
fof(f89,plain,
! [X0,X1] : sP3(X0,X1,set_intersection2(X1,X0)),
inference(unit_resulting_resolution,[],[f53,f74]) ).
fof(f1945,plain,
! [X8,X7] :
( in(sK6(union(X7),X8),sK8(X7,sK6(union(X7),X8)))
| union(X7) = set_intersection2(X8,union(X7)) ),
inference(resolution,[],[f1899,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| in(X1,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f1899,plain,
! [X26,X27] :
( sP0(X27,sK6(union(X27),X26))
| union(X27) = set_intersection2(X26,union(X27)) ),
inference(resolution,[],[f1885,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ in(X0,union(X1))
| sP0(X1,X0) ),
inference(resolution,[],[f58,f80]) ).
fof(f1885,plain,
! [X0,X1] :
( in(sK6(X1,X0),X1)
| set_intersection2(X0,X1) = X1 ),
inference(subsumption_resolution,[],[f1884,f1101]) ).
fof(f1101,plain,
! [X0,X1] :
( in(sK9(X0,X1,X1),X1)
| set_intersection2(X0,X1) = X1 ),
inference(factoring,[],[f1010]) ).
fof(f1010,plain,
! [X10,X11,X9] :
( in(sK9(X9,X10,X11),X11)
| in(sK9(X9,X10,X11),X10)
| set_intersection2(X9,X10) = X11 ),
inference(resolution,[],[f333,f72]) ).
fof(f333,plain,
! [X10,X8,X9] :
( sP2(X8,sK9(X9,X8,X10),X9)
| in(sK9(X9,X8,X10),X10)
| set_intersection2(X9,X8) = X10 ),
inference(resolution,[],[f69,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| set_intersection2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f69,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| sP2(X1,sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f1884,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = X1
| in(sK6(X1,X0),X1)
| ~ in(sK9(X0,X1,X1),X1) ),
inference(subsumption_resolution,[],[f1877,f75]) ).
fof(f1877,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = X1
| in(sK6(X1,X0),X1)
| sP3(X0,X1,X1)
| ~ in(sK9(X0,X1,X1),X1) ),
inference(resolution,[],[f1873,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ sP2(X1,sK9(X0,X1,X2),X0)
| sP3(X0,X1,X2)
| ~ in(sK9(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f1873,plain,
! [X10,X11,X12] :
( sP2(X10,sK9(X11,X10,X10),X12)
| set_intersection2(X11,X10) = X10
| in(sK6(X10,X12),X10) ),
inference(duplicate_literal_removal,[],[f1867]) ).
fof(f1867,plain,
! [X10,X11,X12] :
( sP2(X10,sK9(X11,X10,X10),X12)
| set_intersection2(X11,X10) = X10
| set_intersection2(X11,X10) = X10
| in(sK6(X10,X12),X10) ),
inference(resolution,[],[f1108,f1106]) ).
fof(f1106,plain,
! [X3,X4,X5] :
( in(sK9(X3,X4,X4),X5)
| set_intersection2(X3,X4) = X4
| in(sK6(X4,X5),X4) ),
inference(resolution,[],[f1101,f84]) ).
fof(f84,plain,
! [X2,X3,X4] :
( ~ in(X2,X3)
| in(X2,X4)
| in(sK6(X3,X4),X3) ),
inference(resolution,[],[f55,f56]) ).
fof(f55,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f1108,plain,
! [X10,X8,X9] :
( ~ in(sK9(X8,X9,X9),X10)
| sP2(X9,sK9(X8,X9,X9),X10)
| set_intersection2(X8,X9) = X9 ),
inference(resolution,[],[f1101,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ in(X1,X0)
| sP2(X0,X1,X2)
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f80,plain,
! [X0] : sP1(X0,union(X0)),
inference(forward_demodulation,[],[f78,f52]) ).
fof(f52,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Utj48u0Vd5/Vampire---4.8_31550',idempotence_k3_xboole_0) ).
fof(f78,plain,
! [X0] : sP1(X0,set_intersection2(union(X0),union(X0))),
inference(unit_resulting_resolution,[],[f52,f65]) ).
fof(f65,plain,
! [X0,X1] :
( union(X0) != X1
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( union(X0) = X1
| ~ sP1(X0,X1) )
& ( sP1(X0,X1)
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( union(X0) = X1
<=> sP1(X0,X1) ),
inference(definition_folding,[],[f5,f18,f17]) ).
fof(f5,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Utj48u0Vd5/Vampire---4.8_31550',d4_tarski) ).
fof(f12154,plain,
~ in(sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),union(sK4)),
inference(unit_resulting_resolution,[],[f237,f3562,f73]) ).
fof(f3562,plain,
in(sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),union(sK5)),
inference(unit_resulting_resolution,[],[f80,f3559,f59]) ).
fof(f3559,plain,
sP0(sK5,sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))),
inference(subsumption_resolution,[],[f3547,f314]) ).
fof(f3547,plain,
( union(set_intersection2(sK4,sK5)) = set_intersection2(set_intersection2(union(sK4),union(sK5)),union(set_intersection2(sK4,sK5)))
| sP0(sK5,sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))) ),
inference(resolution,[],[f1945,f496]) ).
fof(f496,plain,
! [X3] :
( ~ in(X3,sK8(set_intersection2(sK4,sK5),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))))
| sP0(sK5,X3) ),
inference(resolution,[],[f458,f64]) ).
fof(f458,plain,
in(sK8(set_intersection2(sK4,sK5),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5)))),sK5),
inference(unit_resulting_resolution,[],[f435,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| in(X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f237,plain,
~ sP2(union(sK4),sK6(union(set_intersection2(sK4,sK5)),set_intersection2(union(sK4),union(sK5))),union(sK5)),
inference(unit_resulting_resolution,[],[f89,f123,f68]) ).
fof(f68,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ sP2(X1,X4,X0)
| in(X4,X2) ),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET944+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 15:35:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.16/0.39 % (31657)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (31659)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.40 % (31661)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.40 % (31660)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.16/0.40 % (31662)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.16/0.40 % (31664)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.16/0.40 % (31663)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.16/0.40 % (31658)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [4]
% 0.16/0.41 TRYING [3]
% 0.16/0.42 TRYING [5]
% 0.16/0.45 TRYING [4]
% 0.16/0.46 TRYING [6]
% 0.16/0.56 TRYING [7]
% 0.16/0.58 TRYING [5]
% 0.16/0.77 % (31664)First to succeed.
% 0.16/0.77 % (31664)Refutation found. Thanks to Tanya!
% 0.16/0.77 % SZS status Theorem for Vampire---4
% 0.16/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 2.76/0.78 % (31664)------------------------------
% 2.76/0.78 % (31664)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.76/0.78 % (31664)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.76/0.78 % (31664)Termination reason: Refutation
% 2.76/0.78
% 2.76/0.78 % (31664)Memory used [KB]: 6524
% 2.76/0.78 % (31664)Time elapsed: 0.375 s
% 2.76/0.78 % (31664)------------------------------
% 2.76/0.78 % (31664)------------------------------
% 2.76/0.78 % (31657)Success in time 0.435 s
% 2.76/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------