TSTP Solution File: SET615+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET615+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 : n029.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 18:25:06 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 85 ( 20 unt; 0 def)
% Number of atoms : 218 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 234 ( 101 ~; 94 |; 28 &)
% ( 7 <=>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 105 ( 93 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f123,plain,
$false,
inference(subsumption_resolution,[],[f122,f117]) ).
fof(f117,plain,
~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK2),
inference(subsumption_resolution,[],[f116,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f116,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(sK1,sK2))
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK2) ),
inference(resolution,[],[f114,f45]) ).
fof(f114,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(sK3,sK2))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(sK1,sK2)) ),
inference(resolution,[],[f113,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X2,X0))
| member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f113,plain,
member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))),
inference(subsumption_resolution,[],[f112,f99]) ).
fof(f99,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1)
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(subsumption_resolution,[],[f95,f82]) ).
fof(f82,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK2)
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f75,f45]) ).
fof(f75,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),difference(union(sK1,sK3),sK2))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f73,f49]) ).
fof(f49,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK4(X0,X1),X0)
& ~ member(sK4(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f29,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK4(X0,X1),X0)
& ~ member(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f29,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,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f73,plain,
( ~ subset(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2))
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f68,f49]) ).
fof(f68,plain,
( ~ subset(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2)))
| ~ subset(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)) ),
inference(extensionality_resolution,[],[f53,f60]) ).
fof(f60,plain,
union(difference(sK1,sK2),difference(sK3,sK2)) != difference(union(sK1,sK3),sK2),
inference(forward_demodulation,[],[f59,f54]) ).
fof(f54,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X1,X0] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f59,plain,
union(difference(sK1,sK2),difference(sK3,sK2)) != difference(union(sK3,sK1),sK2),
inference(backward_demodulation,[],[f44,f54]) ).
fof(f44,plain,
difference(union(sK3,sK1),sK2) != union(difference(sK3,sK2),difference(sK1,sK2)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
difference(union(sK3,sK1),sK2) != union(difference(sK3,sK2),difference(sK1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f22,f23]) ).
fof(f23,plain,
( ? [X0,X1,X2] : difference(union(X2,X0),X1) != union(difference(X2,X1),difference(X0,X1))
=> difference(union(sK3,sK1),sK2) != union(difference(sK3,sK2),difference(sK1,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2] : difference(union(X2,X0),X1) != union(difference(X2,X1),difference(X0,X1)),
inference(rectify,[],[f13]) ).
fof(f13,plain,
? [X1,X2,X0] : difference(union(X0,X1),X2) != union(difference(X0,X2),difference(X1,X2)),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_distributes_over_union) ).
fof(f53,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f95,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2)))
| ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1)
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK2) ),
inference(resolution,[],[f47,f85]) ).
fof(f85,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),difference(sK1,sK2))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f77,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f77,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),union(difference(sK1,sK2),difference(sK3,sK2)))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f74,f49]) ).
fof(f74,plain,
( ~ subset(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2))
| ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f68,f48]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f112,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2)))
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1) ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2)))
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1)
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f100,f89]) ).
fof(f89,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK3)
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1)
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f41,f81]) ).
fof(f81,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),union(sK1,sK3))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f75,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f100,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK3)
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(subsumption_resolution,[],[f97,f82]) ).
fof(f97,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2)))
| ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK3)
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK2) ),
inference(resolution,[],[f47,f86]) ).
fof(f86,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),difference(sK3,sK2))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(difference(sK1,sK2),difference(sK3,sK2))) ),
inference(resolution,[],[f77,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f122,plain,
member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK2),
inference(resolution,[],[f120,f108]) ).
fof(f108,plain,
( ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK1)
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK2) ),
inference(resolution,[],[f107,f43]) ).
fof(f107,plain,
( ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),union(sK1,sK3))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK2) ),
inference(resolution,[],[f106,f47]) ).
fof(f106,plain,
~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)),
inference(subsumption_resolution,[],[f105,f102]) ).
fof(f102,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(subsumption_resolution,[],[f96,f80]) ).
fof(f80,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK2)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f76,f45]) ).
fof(f76,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),difference(union(sK1,sK3),sK2))
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f73,f48]) ).
fof(f96,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK2)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2))
| ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1) ),
inference(resolution,[],[f47,f83]) ).
fof(f83,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),difference(sK1,sK2))
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f78,f43]) ).
fof(f78,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),union(difference(sK1,sK2),difference(sK3,sK2)))
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f74,f48]) ).
fof(f105,plain,
( ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2))
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1) ),
inference(duplicate_literal_removal,[],[f104]) ).
fof(f104,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2))
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f101,f90]) ).
fof(f90,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK3)
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK1)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f41,f79]) ).
fof(f79,plain,
( member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),union(sK1,sK3))
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f76,f46]) ).
fof(f101,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK3)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(subsumption_resolution,[],[f98,f80]) ).
fof(f98,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK3)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2))
| member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),sK2) ),
inference(resolution,[],[f47,f84]) ).
fof(f84,plain,
( ~ member(sK4(difference(union(sK1,sK3),sK2),union(difference(sK1,sK2),difference(sK3,sK2))),difference(sK3,sK2))
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(union(sK1,sK3),sK2)) ),
inference(resolution,[],[f78,f42]) ).
fof(f120,plain,
member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK1),
inference(resolution,[],[f119,f46]) ).
fof(f119,plain,
member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(sK1,sK2)),
inference(subsumption_resolution,[],[f115,f118]) ).
fof(f118,plain,
~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK3),
inference(subsumption_resolution,[],[f109,f117]) ).
fof(f109,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK2)
| ~ member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK3) ),
inference(resolution,[],[f107,f42]) ).
fof(f115,plain,
( member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),difference(sK1,sK2))
| member(sK4(union(difference(sK1,sK2),difference(sK3,sK2)),difference(union(sK1,sK3),sK2)),sK3) ),
inference(resolution,[],[f114,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:21:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (6604)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)
% 0.20/0.52 % (6604)Refutation not found, incomplete strategy% (6604)------------------------------
% 0.20/0.52 % (6604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6604)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (6604)Memory used [KB]: 5373
% 0.20/0.53 % (6604)Time elapsed: 0.100 s
% 0.20/0.53 % (6604)Instructions burned: 2 (million)
% 0.20/0.53 % (6604)------------------------------
% 0.20/0.53 % (6604)------------------------------
% 0.20/0.53 % (6612)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)
% 0.20/0.54 % (6625)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)
% 0.20/0.54 % (6619)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)
% 0.20/0.54 % (6627)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (6611)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (6626)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)
% 0.20/0.55 % (6611)Instruction limit reached!
% 0.20/0.55 % (6611)------------------------------
% 0.20/0.55 % (6611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (6611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (6611)Termination reason: Unknown
% 0.20/0.55 % (6611)Termination phase: Blocked clause elimination
% 0.20/0.55
% 0.20/0.55 % (6611)Memory used [KB]: 895
% 0.20/0.55 % (6611)Time elapsed: 0.003 s
% 0.20/0.55 % (6611)Instructions burned: 2 (million)
% 0.20/0.55 % (6611)------------------------------
% 0.20/0.55 % (6611)------------------------------
% 0.20/0.55 % (6605)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)
% 0.20/0.55 % (6606)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)
% 0.20/0.55 % (6618)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)
% 0.20/0.56 % (6607)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (6610)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (6631)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (6608)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)
% 0.20/0.56 % (6603)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)
% 0.20/0.56 % (6625)First to succeed.
% 0.20/0.57 % (6625)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (6625)------------------------------
% 0.20/0.57 % (6625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6625)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (6625)Memory used [KB]: 1023
% 0.20/0.57 % (6625)Time elapsed: 0.150 s
% 0.20/0.57 % (6625)Instructions burned: 10 (million)
% 0.20/0.57 % (6625)------------------------------
% 0.20/0.57 % (6625)------------------------------
% 0.20/0.57 % (6602)Success in time 0.21 s
%------------------------------------------------------------------------------