TSTP Solution File: SET169+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET169+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 : 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 : Wed Aug 31 18:24:02 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 79 ( 16 unt; 0 def)
% Number of atoms : 213 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 230 ( 96 ~; 93 |; 29 &)
% ( 8 <=>; 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 : 100 ( 88 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(subsumption_resolution,[],[f128,f127]) ).
fof(f127,plain,
~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK2),
inference(subsumption_resolution,[],[f126,f116]) ).
fof(f116,plain,
member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK4),
inference(resolution,[],[f115,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X2,X1)) )
& ( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X2,X0] :
( ( member(X1,X0)
& member(X1,X2) )
<=> member(X1,intersection(X0,X2)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f115,plain,
member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))),
inference(subsumption_resolution,[],[f114,f104]) ).
fof(f104,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK2)
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f101,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ( member(X1,X2)
| member(X1,X0) )
<=> member(X1,union(X0,X2)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X2,X1] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f101,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),union(sK2,sK3))
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(subsumption_resolution,[],[f98,f91]) ).
fof(f91,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK4)
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(subsumption_resolution,[],[f89,f52]) ).
fof(f89,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK4)
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f86,f52]) ).
fof(f86,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK3))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2))
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f49,f81]) ).
fof(f81,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f77,f40]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f77,plain,
( ~ subset(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(resolution,[],[f72,f40]) ).
fof(f72,plain,
( ~ subset(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3)))
| ~ subset(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(extensionality_resolution,[],[f54,f45]) ).
fof(f45,plain,
intersection(sK4,union(sK2,sK3)) != union(intersection(sK4,sK2),intersection(sK4,sK3)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
intersection(sK4,union(sK2,sK3)) != union(intersection(sK4,sK2),intersection(sK4,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f25,f26]) ).
fof(f26,plain,
( ? [X0,X1,X2] : union(intersection(X2,X0),intersection(X2,X1)) != intersection(X2,union(X0,X1))
=> intersection(sK4,union(sK2,sK3)) != union(intersection(sK4,sK2),intersection(sK4,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] : union(intersection(X2,X0),intersection(X2,X1)) != intersection(X2,union(X0,X1)),
inference(rectify,[],[f16]) ).
fof(f16,plain,
? [X1,X2,X0] : intersection(X0,union(X1,X2)) != union(intersection(X0,X1),intersection(X0,X2)),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X2,X1,X0] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X2,X1,X0] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_distributes_over_union) ).
fof(f54,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X1,X0))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f98,plain,
( member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3)))
| ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),union(sK2,sK3))
| ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK4) ),
inference(resolution,[],[f50,f79]) ).
fof(f79,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,union(sK2,sK3)))
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f78,f40]) ).
fof(f78,plain,
( ~ subset(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f72,f39]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X0,intersection(X2,X1))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f114,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK2)
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f107,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f107,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2))
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f106,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2))
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3)))
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f103,f90]) ).
fof(f90,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK3)
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3)))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2)) ),
inference(resolution,[],[f86,f51]) ).
fof(f103,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK3)
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,union(sK2,sK3))) ),
inference(resolution,[],[f101,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f126,plain,
( ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK4)
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK2) ),
inference(resolution,[],[f123,f50]) ).
fof(f123,plain,
~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,sK2)),
inference(resolution,[],[f120,f47]) ).
fof(f120,plain,
~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))),
inference(subsumption_resolution,[],[f119,f109]) ).
fof(f109,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK2)
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(resolution,[],[f102,f47]) ).
fof(f102,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),union(sK2,sK3))
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(subsumption_resolution,[],[f97,f94]) ).
fof(f94,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK4)
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(subsumption_resolution,[],[f92,f52]) ).
fof(f92,plain,
( ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK4)
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2)) ),
inference(resolution,[],[f85,f52]) ).
fof(f85,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK3))
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2)) ),
inference(resolution,[],[f49,f82]) ).
fof(f82,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(resolution,[],[f77,f39]) ).
fof(f97,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),union(sK2,sK3))
| ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK4)
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(resolution,[],[f50,f80]) ).
fof(f80,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,union(sK2,sK3)))
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(resolution,[],[f78,f39]) ).
fof(f119,plain,
( ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK2) ),
inference(resolution,[],[f112,f51]) ).
fof(f112,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2))
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
( ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2))
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(resolution,[],[f108,f93]) ).
fof(f93,plain,
( member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK3)
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3)))
| member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),intersection(sK4,sK2)) ),
inference(resolution,[],[f85,f51]) ).
fof(f108,plain,
( ~ member(sK0(union(intersection(sK4,sK2),intersection(sK4,sK3)),intersection(sK4,union(sK2,sK3))),sK3)
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(intersection(sK4,sK2),intersection(sK4,sK3))) ),
inference(resolution,[],[f102,f48]) ).
fof(f128,plain,
member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK2),
inference(subsumption_resolution,[],[f121,f125]) ).
fof(f125,plain,
~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK3),
inference(subsumption_resolution,[],[f124,f116]) ).
fof(f124,plain,
( ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK3)
| ~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK4) ),
inference(resolution,[],[f122,f50]) ).
fof(f122,plain,
~ member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),intersection(sK4,sK3)),
inference(resolution,[],[f120,f48]) ).
fof(f121,plain,
( member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK3)
| member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),sK2) ),
inference(resolution,[],[f117,f49]) ).
fof(f117,plain,
member(sK0(intersection(sK4,union(sK2,sK3)),union(intersection(sK4,sK2),intersection(sK4,sK3))),union(sK2,sK3)),
inference(resolution,[],[f115,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET169+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:27:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (18469)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (18469)Instruction limit reached!
% 0.19/0.48 % (18469)------------------------------
% 0.19/0.48 % (18469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (18477)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)
% 0.19/0.49 % (18469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (18469)Termination reason: Unknown
% 0.19/0.49 % (18469)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (18469)Memory used [KB]: 5500
% 0.19/0.49 % (18469)Time elapsed: 0.070 s
% 0.19/0.49 % (18469)Instructions burned: 7 (million)
% 0.19/0.49 % (18469)------------------------------
% 0.19/0.49 % (18469)------------------------------
% 0.19/0.51 % (18484)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)
% 0.19/0.51 % (18465)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)
% 0.19/0.51 % (18467)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)
% 0.19/0.51 % (18466)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (18464)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 % (18468)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (18462)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (18489)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 % (18491)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52 % (18470)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (18470)Instruction limit reached!
% 0.19/0.52 % (18470)------------------------------
% 0.19/0.52 % (18470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18470)Termination reason: Unknown
% 0.19/0.52 % (18470)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (18470)Memory used [KB]: 5373
% 0.19/0.52 % (18470)Time elapsed: 0.126 s
% 0.19/0.52 % (18470)Instructions burned: 3 (million)
% 0.19/0.52 % (18470)------------------------------
% 0.19/0.52 % (18470)------------------------------
% 0.19/0.52 % (18490)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 % (18463)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 % (18485)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)
% 0.19/0.52 % (18471)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)
% 0.19/0.53 % (18472)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (18481)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)
% 0.19/0.53 % (18483)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (18482)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (18486)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (18478)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)
% 0.19/0.53 % (18484)First to succeed.
% 0.19/0.53 % (18487)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (18484)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (18484)------------------------------
% 0.19/0.54 % (18484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (18484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (18484)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (18484)Memory used [KB]: 1023
% 0.19/0.54 % (18484)Time elapsed: 0.095 s
% 0.19/0.54 % (18484)Instructions burned: 12 (million)
% 0.19/0.54 % (18484)------------------------------
% 0.19/0.54 % (18484)------------------------------
% 0.19/0.54 % (18461)Success in time 0.191 s
%------------------------------------------------------------------------------