TSTP Solution File: SET602+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET602+4 : 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 : n009.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 18:25:03 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 43 ~; 28 |; 16 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 53 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,plain,
$false,
inference(subsumption_resolution,[],[f110,f109]) ).
fof(f109,plain,
~ member(sK3(difference(sK1,sK1),empty_set),sK1),
inference(resolution,[],[f108,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) )
& ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) )
& ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( member(X2,difference(X1,X0))
<=> ( ~ member(X2,X0)
& member(X2,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X1] :
( member(X1,difference(X3,X0))
<=> ( ~ member(X1,X0)
& member(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f108,plain,
member(sK3(difference(sK1,sK1),empty_set),difference(sK1,sK1)),
inference(subsumption_resolution,[],[f105,f75]) ).
fof(f75,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f105,plain,
( member(sK3(difference(sK1,sK1),empty_set),difference(sK1,sK1))
| member(sK3(empty_set,difference(sK1,sK1)),empty_set) ),
inference(resolution,[],[f98,f79]) ).
fof(f79,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,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,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f98,plain,
( ~ subset(empty_set,difference(sK1,sK1))
| member(sK3(difference(sK1,sK1),empty_set),difference(sK1,sK1)) ),
inference(resolution,[],[f97,f79]) ).
fof(f97,plain,
( ~ subset(difference(sK1,sK1),empty_set)
| ~ subset(empty_set,difference(sK1,sK1)) ),
inference(resolution,[],[f59,f68]) ).
fof(f68,plain,
~ equal_set(difference(sK1,sK1),empty_set),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
~ equal_set(difference(sK1,sK1),empty_set),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f25,f39]) ).
fof(f39,plain,
( ? [X0] : ~ equal_set(difference(X0,X0),empty_set)
=> ~ equal_set(difference(sK1,sK1),empty_set) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] : ~ equal_set(difference(X0,X0),empty_set),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : equal_set(difference(X0,X0),empty_set),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3] : equal_set(difference(X3,X3),empty_set),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3] : equal_set(difference(X3,X3),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI29) ).
fof(f59,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f110,plain,
member(sK3(difference(sK1,sK1),empty_set),sK1),
inference(resolution,[],[f108,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:01:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (29329)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)
% 0.19/0.49 % (29321)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 % (29329)First to succeed.
% 0.19/0.50 % (29318)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (29313)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)
% 0.19/0.50 % (29329)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (29329)------------------------------
% 0.19/0.50 % (29329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29329)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (29329)Memory used [KB]: 895
% 0.19/0.50 % (29329)Time elapsed: 0.064 s
% 0.19/0.50 % (29329)Instructions burned: 3 (million)
% 0.19/0.50 % (29329)------------------------------
% 0.19/0.50 % (29329)------------------------------
% 0.19/0.50 % (29306)Success in time 0.164 s
%------------------------------------------------------------------------------