TSTP Solution File: SET609+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET609+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:25:05 EDT 2022
% Result : Theorem 1.42s 0.55s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 87 ( 14 unt; 0 def)
% Number of atoms : 242 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 270 ( 115 ~; 104 |; 38 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 126 ( 114 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(subsumption_resolution,[],[f137,f132]) ).
fof(f132,plain,
member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK2),
inference(subsumption_resolution,[],[f130,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X2,X1] :
( ( member(X1,X2)
& ~ member(X1,X0) )
<=> member(X1,difference(X2,X0)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X2,X0] :
( ( member(X2,X0)
& ~ member(X2,X1) )
<=> member(X2,difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f130,plain,
( member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK2)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3)) ),
inference(resolution,[],[f127,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) )
& ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ( ( member(X1,X2)
& member(X1,X0) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X2)
| ~ member(X1,X0) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ( ( member(X1,X2)
& member(X1,X0) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X2)
| ~ member(X1,X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ( member(X1,X2)
& member(X1,X0) )
<=> member(X1,intersection(X2,X0)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f127,plain,
( member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),intersection(sK2,sK4))
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3)) ),
inference(resolution,[],[f123,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X2,X1))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( member(X0,union(X2,X1))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X2,X1)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X2,X0] :
( member(X1,union(X0,X2))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X2,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f123,plain,
member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))),
inference(subsumption_resolution,[],[f122,f96]) ).
fof(f96,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f90,f50]) ).
fof(f90,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4)))
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f88,f46]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f88,plain,
( ~ subset(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4)))
| member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f83,f46]) ).
fof(f83,plain,
( ~ subset(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4)))
| ~ subset(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))) ),
inference(extensionality_resolution,[],[f63,f58]) ).
fof(f58,plain,
union(difference(sK2,sK3),intersection(sK2,sK4)) != difference(sK2,difference(sK3,sK4)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
union(difference(sK2,sK3),intersection(sK2,sK4)) != difference(sK2,difference(sK3,sK4)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f35,f36]) ).
fof(f36,plain,
( ? [X0,X1,X2] : difference(X0,difference(X1,X2)) != union(difference(X0,X1),intersection(X0,X2))
=> union(difference(sK2,sK3),intersection(sK2,sK4)) != difference(sK2,difference(sK3,sK4)) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1,X2] : difference(X0,difference(X1,X2)) != union(difference(X0,X1),intersection(X0,X2)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
? [X2,X1,X0] : union(difference(X2,X1),intersection(X2,X0)) != difference(X2,difference(X1,X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X1,X0,X2] : union(difference(X2,X1),intersection(X2,X0)) = difference(X2,difference(X1,X0)),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X2,X1,X0] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X2,X1,X0] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th81) ).
fof(f63,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f122,plain,
( member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2) ),
inference(subsumption_resolution,[],[f118,f111]) ).
fof(f111,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(subsumption_resolution,[],[f104,f108]) ).
fof(f108,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(subsumption_resolution,[],[f106,f96]) ).
fof(f106,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3) ),
inference(resolution,[],[f48,f101]) ).
fof(f101,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,sK3))
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f92,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f92,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f89,f46]) ).
fof(f89,plain,
( ~ subset(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4)))
| ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f83,f45]) ).
fof(f45,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X2,X0,X1] :
( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f104,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4) ),
inference(resolution,[],[f48,f97]) ).
fof(f97,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK3,sK4))
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f90,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f118,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f59,f100]) ).
fof(f100,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),intersection(sK2,sK4))
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4))) ),
inference(resolution,[],[f92,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f137,plain,
~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK2),
inference(resolution,[],[f136,f128]) ).
fof(f128,plain,
( member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK3)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK2) ),
inference(resolution,[],[f126,f50]) ).
fof(f126,plain,
( member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK3,sK4))
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK2) ),
inference(resolution,[],[f125,f48]) ).
fof(f125,plain,
~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))),
inference(subsumption_resolution,[],[f124,f94]) ).
fof(f94,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f91,f50]) ).
fof(f91,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,difference(sK3,sK4)))
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f88,f45]) ).
fof(f124,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(subsumption_resolution,[],[f119,f110]) ).
fof(f110,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(subsumption_resolution,[],[f105,f109]) ).
fof(f109,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(subsumption_resolution,[],[f107,f94]) ).
fof(f107,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f48,f99]) ).
fof(f99,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK2,sK3))
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f93,f56]) ).
fof(f93,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),union(difference(sK2,sK3),intersection(sK2,sK4)))
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f89,f45]) ).
fof(f105,plain,
( member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4)))
| ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK3) ),
inference(resolution,[],[f48,f95]) ).
fof(f95,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),difference(sK3,sK4))
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f91,f49]) ).
fof(f119,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK4)
| ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),sK2)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f59,f98]) ).
fof(f98,plain,
( ~ member(sK0(difference(sK2,difference(sK3,sK4)),union(difference(sK2,sK3),intersection(sK2,sK4))),intersection(sK2,sK4))
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(resolution,[],[f93,f57]) ).
fof(f136,plain,
~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK3),
inference(resolution,[],[f134,f49]) ).
fof(f134,plain,
member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3)),
inference(subsumption_resolution,[],[f133,f132]) ).
fof(f133,plain,
( member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3))
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK2) ),
inference(resolution,[],[f131,f129]) ).
fof(f129,plain,
( ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK4)
| ~ member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK2) ),
inference(resolution,[],[f126,f49]) ).
fof(f131,plain,
( member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),sK4)
| member(sK0(union(difference(sK2,sK3),intersection(sK2,sK4)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3)) ),
inference(resolution,[],[f127,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET609+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:02:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (11905)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)
% 0.19/0.51 % (11913)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (11890)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)
% 0.19/0.52 % (11890)Refutation not found, incomplete strategy% (11890)------------------------------
% 0.19/0.52 % (11890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11890)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (11890)Memory used [KB]: 5373
% 0.19/0.52 % (11890)Time elapsed: 0.115 s
% 0.19/0.52 % (11890)Instructions burned: 3 (million)
% 0.19/0.52 % (11890)------------------------------
% 0.19/0.52 % (11890)------------------------------
% 0.19/0.52 % (11891)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)
% 0.19/0.52 % (11911)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)
% 0.19/0.52 % (11916)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)
% 0.19/0.52 % (11894)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)
% 0.19/0.52 % (11917)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (11911)First to succeed.
% 0.19/0.53 % (11892)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)
% 0.19/0.53 % (11893)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (11903)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)
% 0.19/0.53 % (11915)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)
% 0.19/0.53 % (11904)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)
% 0.19/0.53 % (11918)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)
% 1.42/0.53 % (11897)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.53 % (11897)Instruction limit reached!
% 1.42/0.53 % (11897)------------------------------
% 1.42/0.53 % (11897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (11897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (11897)Termination reason: Unknown
% 1.42/0.53 % (11897)Termination phase: Saturation
% 1.42/0.53
% 1.42/0.53 % (11897)Memory used [KB]: 5373
% 1.42/0.53 % (11897)Time elapsed: 0.135 s
% 1.42/0.53 % (11897)Instructions burned: 3 (million)
% 1.42/0.53 % (11897)------------------------------
% 1.42/0.53 % (11897)------------------------------
% 1.42/0.53 % (11907)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.54 % (11909)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)
% 1.42/0.54 % (11908)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.54 % (11895)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)
% 1.42/0.54 % (11912)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)
% 1.42/0.54 TRYING [1]
% 1.42/0.54 TRYING [2]
% 1.42/0.54 TRYING [3]
% 1.42/0.54 % (11910)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54 % (11900)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)
% 1.42/0.54 % (11889)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)
% 1.42/0.54 TRYING [1]
% 1.42/0.54 % (11899)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54 TRYING [2]
% 1.42/0.54 % (11896)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54 TRYING [3]
% 1.42/0.54 % (11901)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54 % (11902)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54 TRYING [4]
% 1.42/0.55 % (11896)Instruction limit reached!
% 1.42/0.55 % (11896)------------------------------
% 1.42/0.55 % (11896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11896)Termination reason: Unknown
% 1.42/0.55 % (11896)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (11896)Memory used [KB]: 5500
% 1.42/0.55 % (11896)Time elapsed: 0.150 s
% 1.42/0.55 % (11896)Instructions burned: 8 (million)
% 1.42/0.55 % (11896)------------------------------
% 1.42/0.55 % (11896)------------------------------
% 1.42/0.55 % (11911)Refutation found. Thanks to Tanya!
% 1.42/0.55 % SZS status Theorem for theBenchmark
% 1.42/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.55 % (11911)------------------------------
% 1.42/0.55 % (11911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11911)Termination reason: Refutation
% 1.42/0.55
% 1.42/0.55 % (11911)Memory used [KB]: 1023
% 1.42/0.55 % (11911)Time elapsed: 0.083 s
% 1.42/0.55 % (11911)Instructions burned: 9 (million)
% 1.42/0.55 % (11911)------------------------------
% 1.42/0.55 % (11911)------------------------------
% 1.42/0.55 % (11888)Success in time 0.195 s
%------------------------------------------------------------------------------