TSTP Solution File: SET144+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET144+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 18:23:56 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 85 ( 15 unt; 0 def)
% Number of atoms : 229 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 245 ( 101 ~; 95 |; 35 &)
% ( 8 <=>; 6 =>; 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 : 112 ( 100 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(subsumption_resolution,[],[f139,f138]) ).
fof(f138,plain,
member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4),
inference(subsumption_resolution,[],[f137,f128]) ).
fof(f128,plain,
~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK3),
inference(resolution,[],[f127,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X2,union(X1,X0))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X1,X0)) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X2,X1] :
( member(X1,union(X2,X0))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X2,X0] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f127,plain,
~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))),
inference(subsumption_resolution,[],[f125,f119]) ).
fof(f119,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f117,f48]) ).
fof(f117,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),union(sK3,sK4))
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(subsumption_resolution,[],[f114,f110]) ).
fof(f110,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK2)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(subsumption_resolution,[],[f109,f95]) ).
fof(f95,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sK2) ),
inference(resolution,[],[f52,f56]) ).
fof(f56,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( subset(sK3,sK2)
& intersection(union(sK3,sK4),sK2) != union(sK3,intersection(sK4,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f36,f37]) ).
fof(f37,plain,
( ? [X0,X1,X2] :
( subset(X1,X0)
& intersection(union(X1,X2),X0) != union(X1,intersection(X2,X0)) )
=> ( subset(sK3,sK2)
& intersection(union(sK3,sK4),sK2) != union(sK3,intersection(sK4,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2] :
( subset(X1,X0)
& intersection(union(X1,X2),X0) != union(X1,intersection(X2,X0)) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
? [X2,X1,X0] :
( subset(X1,X2)
& union(X1,intersection(X0,X2)) != intersection(union(X1,X0),X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X1,X0,X2] :
( subset(X1,X2)
=> union(X1,intersection(X0,X2)) = intersection(union(X1,X0),X2) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X2,X0,X1] :
( subset(X0,X1)
=> union(X0,intersection(X2,X1)) = intersection(union(X0,X2),X1) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X2,X0,X1] :
( subset(X0,X1)
=> union(X0,intersection(X2,X1)) = intersection(union(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th44) ).
fof(f52,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| member(X3,X0)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ member(sK1(X0,X1),X0)
& member(sK1(X0,X1),X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK1(X0,X1),X0)
& member(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f109,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK2)
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f102,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X2,X1,X0] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X2,X1,X0] :
( member(X2,intersection(X1,X0))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f102,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),intersection(sK2,sK4))
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f46,f92]) ).
fof(f92,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),union(sK3,intersection(sK2,sK4)))
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f89,f53]) ).
fof(f53,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f89,plain,
( ~ subset(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4)))
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f84,f54]) ).
fof(f54,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f84,plain,
( ~ subset(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4)))
| ~ subset(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))) ),
inference(forward_demodulation,[],[f83,f58]) ).
fof(f58,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f83,plain,
( ~ subset(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4)))
| ~ subset(union(sK3,intersection(sK2,sK4)),intersection(union(sK3,sK4),sK2)) ),
inference(forward_demodulation,[],[f76,f58]) ).
fof(f76,plain,
( ~ subset(intersection(union(sK3,sK4),sK2),union(sK3,intersection(sK2,sK4)))
| ~ subset(union(sK3,intersection(sK2,sK4)),intersection(union(sK3,sK4),sK2)) ),
inference(extensionality_resolution,[],[f43,f64]) ).
fof(f64,plain,
union(sK3,intersection(sK2,sK4)) != intersection(union(sK3,sK4),sK2),
inference(backward_demodulation,[],[f55,f58]) ).
fof(f55,plain,
intersection(union(sK3,sK4),sK2) != union(sK3,intersection(sK4,sK2)),
inference(cnf_transformation,[],[f38]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X1,X0))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f114,plain,
( ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4)))
| ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),union(sK3,sK4))
| ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK2) ),
inference(resolution,[],[f51,f91]) ).
fof(f91,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),intersection(sK2,union(sK3,sK4)))
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f89,f54]) ).
fof(f51,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f125,plain,
( ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4)))
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3) ),
inference(duplicate_literal_removal,[],[f123]) ).
fof(f123,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4)))
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f120,f108]) ).
fof(f108,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK4)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4)))
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3) ),
inference(resolution,[],[f102,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f120,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK4)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,intersection(sK2,sK4))) ),
inference(resolution,[],[f117,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f137,plain,
( member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK3)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4) ),
inference(resolution,[],[f135,f46]) ).
fof(f135,plain,
member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),union(sK3,sK4)),
inference(resolution,[],[f134,f50]) ).
fof(f134,plain,
member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))),
inference(subsumption_resolution,[],[f133,f121]) ).
fof(f121,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f118,f48]) ).
fof(f118,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),union(sK3,sK4))
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(subsumption_resolution,[],[f113,f107]) ).
fof(f107,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK2)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(subsumption_resolution,[],[f106,f95]) ).
fof(f106,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK2)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3) ),
inference(resolution,[],[f101,f49]) ).
fof(f101,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),intersection(sK2,sK4))
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f46,f94]) ).
fof(f94,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),union(sK3,intersection(sK2,sK4)))
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f90,f53]) ).
fof(f90,plain,
( ~ subset(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4)))
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f84,f53]) ).
fof(f113,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),union(sK3,sK4))
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK2) ),
inference(resolution,[],[f51,f93]) ).
fof(f93,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),intersection(sK2,union(sK3,sK4)))
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f90,f54]) ).
fof(f133,plain,
( member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f122,f105]) ).
fof(f105,plain,
( member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK4)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4)))
| member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK3) ),
inference(resolution,[],[f101,f50]) ).
fof(f122,plain,
( ~ member(sK1(intersection(sK2,union(sK3,sK4)),union(sK3,intersection(sK2,sK4))),sK4)
| member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,union(sK3,sK4))) ),
inference(resolution,[],[f118,f47]) ).
fof(f139,plain,
~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4),
inference(subsumption_resolution,[],[f130,f136]) ).
fof(f136,plain,
member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2),
inference(resolution,[],[f134,f49]) ).
fof(f130,plain,
( ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK2)
| ~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),sK4) ),
inference(resolution,[],[f129,f51]) ).
fof(f129,plain,
~ member(sK1(union(sK3,intersection(sK2,sK4)),intersection(sK2,union(sK3,sK4))),intersection(sK2,sK4)),
inference(resolution,[],[f127,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET144+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
% 0.13/0.34 % Computer : n012.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 13:21:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (31668)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 (3000ds/467Mi)
% 0.20/0.46 % (31660)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 (3000ds/75Mi)
% 0.20/0.50 % (31657)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51 % (31646)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 % (31658)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.51 % (31669)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.51 % (31649)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51 % (31665)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 (3000ds/176Mi)
% 0.20/0.51 % (31655)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 % (31648)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 % (31659)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 (3000ds/68Mi)
% 0.20/0.52 % (31670)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.52 % (31651)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 % (31645)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 (3000ds/191324Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (31662)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (31647)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 (3000ds/37Mi)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 TRYING [3]
% 0.20/0.53 % (31650)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 (3000ds/48Mi)
% 0.20/0.53 % (31672)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 (3000ds/177Mi)
% 0.20/0.53 % (31652)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.53 % (31646)Refutation not found, incomplete strategy% (31646)------------------------------
% 0.20/0.53 % (31646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (31646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (31646)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (31646)Memory used [KB]: 5373
% 0.20/0.53 % (31646)Time elapsed: 0.126 s
% 0.20/0.53 % (31646)Instructions burned: 3 (million)
% 0.20/0.53 % (31646)------------------------------
% 0.20/0.53 % (31646)------------------------------
% 0.20/0.53 % (31663)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.53 % (31654)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 (3000ds/51Mi)
% 0.20/0.53 % (31652)Instruction limit reached!
% 0.20/0.53 % (31652)------------------------------
% 0.20/0.53 % (31652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (31652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (31652)Termination reason: Unknown
% 0.20/0.53 % (31652)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (31652)Memory used [KB]: 5500
% 0.20/0.53 % (31652)Time elapsed: 0.133 s
% 0.20/0.53 % (31652)Instructions burned: 8 (million)
% 0.20/0.53 % (31652)------------------------------
% 0.20/0.53 % (31652)------------------------------
% 0.20/0.53 % (31661)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 (3000ds/99Mi)
% 0.20/0.53 % (31653)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.53 % (31673)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.53 % (31671)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 (3000ds/68Mi)
% 0.20/0.54 % (31664)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 (3000ds/100Mi)
% 0.20/0.54 % (31667)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 (3000ds/498Mi)
% 0.20/0.54 % (31674)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 (3000ds/355Mi)
% 0.20/0.54 % (31666)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.54 % (31653)Instruction limit reached!
% 0.20/0.54 % (31653)------------------------------
% 0.20/0.54 % (31653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (31653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (31653)Termination reason: Unknown
% 0.20/0.54 % (31653)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (31653)Memory used [KB]: 895
% 0.20/0.54 % (31653)Time elapsed: 0.004 s
% 0.20/0.54 % (31653)Instructions burned: 2 (million)
% 0.20/0.54 % (31653)------------------------------
% 0.20/0.54 % (31653)------------------------------
% 0.20/0.54 TRYING [4]
% 0.20/0.54 TRYING [1]
% 0.20/0.55 % (31656)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [4]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (31667)First to succeed.
% 0.20/0.56 TRYING [4]
% 0.20/0.56 % (31667)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (31667)------------------------------
% 0.20/0.56 % (31667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (31667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (31667)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (31667)Memory used [KB]: 1023
% 0.20/0.56 % (31667)Time elapsed: 0.148 s
% 0.20/0.56 % (31667)Instructions burned: 10 (million)
% 0.20/0.56 % (31667)------------------------------
% 0.20/0.56 % (31667)------------------------------
% 0.20/0.56 % (31644)Success in time 0.207 s
%------------------------------------------------------------------------------