TSTP Solution File: SET612+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET612+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 : n007.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 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 90 ( 22 unt; 0 def)
% Number of atoms : 236 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 261 ( 115 ~; 98 |; 34 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 127 ( 115 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(subsumption_resolution,[],[f188,f180]) ).
fof(f180,plain,
~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),sK3),
inference(resolution,[],[f177,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ~ member(X2,X0)
& member(X2,X1) )
<=> member(X2,difference(X1,X0)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0,X2] :
( ( member(X2,X0)
& ~ member(X2,X1) )
<=> member(X2,difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f177,plain,
member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK3)),
inference(resolution,[],[f175,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X2,X0)
& member(X2,X1) )
<=> member(X2,intersection(X1,X0)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f175,plain,
member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))),
inference(subsumption_resolution,[],[f174,f124]) ).
fof(f124,plain,
( member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f117,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f117,plain,
( member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f113,f69]) ).
fof(f69,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( member(sK1(X0,X1),X1)
& ~ member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK1(X0,X1),X1)
& ~ member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f113,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f110,f69]) ).
fof(f110,plain,
( ~ subset(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4)))
| ~ subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(forward_demodulation,[],[f109,f70]) ).
fof(f70,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f109,plain,
( ~ subset(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4)))
| ~ subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK4),difference(sK2,sK3))) ),
inference(forward_demodulation,[],[f100,f70]) ).
fof(f100,plain,
( ~ subset(intersection(difference(sK2,sK4),difference(sK2,sK3)),difference(sK2,union(sK3,sK4)))
| ~ subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK4),difference(sK2,sK3))) ),
inference(extensionality_resolution,[],[f64,f85]) ).
fof(f85,plain,
difference(sK2,union(sK3,sK4)) != intersection(difference(sK2,sK4),difference(sK2,sK3)),
inference(backward_demodulation,[],[f76,f75]) ).
fof(f75,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f76,plain,
intersection(difference(sK2,sK4),difference(sK2,sK3)) != difference(sK2,union(sK4,sK3)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
intersection(difference(sK2,sK4),difference(sK2,sK3)) != difference(sK2,union(sK4,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2] : difference(X0,union(X2,X1)) != intersection(difference(X0,X2),difference(X0,X1))
=> intersection(difference(sK2,sK4),difference(sK2,sK3)) != difference(sK2,union(sK4,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1,X2] : difference(X0,union(X2,X1)) != intersection(difference(X0,X2),difference(X0,X1)),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X0,X2,X1] : difference(X0,union(X1,X2)) != intersection(difference(X0,X1),difference(X0,X2)),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,union(X1,X2)) = intersection(difference(X0,X1),difference(X0,X2)),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] : difference(X0,union(X1,X2)) = intersection(difference(X0,X1),difference(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th85) ).
fof(f64,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f174,plain,
( member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2) ),
inference(subsumption_resolution,[],[f173,f126]) ).
fof(f126,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3)
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f123,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X2,X0)) )
& ( member(X1,union(X2,X0))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X2,X0] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X2,X0] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X2,X0] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f123,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f117,f63]) ).
fof(f173,plain,
( member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3)
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2) ),
inference(resolution,[],[f168,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f168,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(subsumption_resolution,[],[f167,f125]) ).
fof(f125,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4)
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f123,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f167,plain,
( member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4)
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(subsumption_resolution,[],[f163,f62]) ).
fof(f163,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4)
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3)) ),
inference(resolution,[],[f61,f153]) ).
fof(f153,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK4))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f56,f118]) ).
fof(f118,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(resolution,[],[f113,f68]) ).
fof(f68,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f56,plain,
! [X2,X0,X1] :
( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f188,plain,
member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),sK3),
inference(subsumption_resolution,[],[f185,f178]) ).
fof(f178,plain,
~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),sK4),
inference(resolution,[],[f176,f63]) ).
fof(f176,plain,
member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK4)),
inference(resolution,[],[f175,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f185,plain,
( member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),sK4)
| member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),sK3) ),
inference(resolution,[],[f73,f182]) ).
fof(f182,plain,
member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),union(sK3,sK4)),
inference(subsumption_resolution,[],[f172,f179]) ).
fof(f179,plain,
member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),sK2),
inference(resolution,[],[f176,f62]) ).
fof(f172,plain,
( member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),union(sK3,sK4))
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),sK2) ),
inference(resolution,[],[f171,f61]) ).
fof(f171,plain,
~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))),
inference(subsumption_resolution,[],[f170,f120]) ).
fof(f120,plain,
( member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f115,f62]) ).
fof(f115,plain,
( member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f114,f69]) ).
fof(f114,plain,
( ~ subset(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f110,f68]) ).
fof(f170,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(subsumption_resolution,[],[f169,f122]) ).
fof(f122,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3)
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f119,f71]) ).
fof(f119,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f115,f63]) ).
fof(f169,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4)))
| member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK3) ),
inference(resolution,[],[f166,f61]) ).
fof(f166,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(subsumption_resolution,[],[f165,f121]) ).
fof(f121,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4)
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f119,f72]) ).
fof(f165,plain,
( ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4)))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4) ),
inference(subsumption_resolution,[],[f164,f62]) ).
fof(f164,plain,
( ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4)))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK2)
| member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),sK4) ),
inference(resolution,[],[f61,f154]) ).
fof(f154,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK4))
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4)))
| ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),difference(sK2,sK3)) ),
inference(resolution,[],[f56,f116]) ).
fof(f116,plain,
( ~ member(sK1(intersection(difference(sK2,sK3),difference(sK2,sK4)),difference(sK2,union(sK3,sK4))),intersection(difference(sK2,sK3),difference(sK2,sK4)))
| ~ member(sK1(difference(sK2,union(sK3,sK4)),intersection(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f114,f68]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X2,X0))
| member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET612+3 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 13:53:01 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.42 % (24827)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)
% 0.15/0.42 % (24840)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)
% 0.15/0.43 % (24840)First to succeed.
% 0.15/0.45 % (24840)Refutation found. Thanks to Tanya!
% 0.15/0.45 % SZS status Theorem for theBenchmark
% 0.15/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45 % (24840)------------------------------
% 0.15/0.45 % (24840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45 % (24840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45 % (24840)Termination reason: Refutation
% 0.15/0.45
% 0.15/0.45 % (24840)Memory used [KB]: 1023
% 0.15/0.45 % (24840)Time elapsed: 0.065 s
% 0.15/0.45 % (24840)Instructions burned: 11 (million)
% 0.15/0.45 % (24840)------------------------------
% 0.15/0.45 % (24840)------------------------------
% 0.15/0.45 % (24817)Success in time 0.13 s
%------------------------------------------------------------------------------