TSTP Solution File: SET095+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET095+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_uns --cores 0 -t %d %s
% Computer : n003.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 18:19:07 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 17 ~; 7 |; 9 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,plain,
$false,
inference(subsumption_resolution,[],[f37,f27]) ).
fof(f27,plain,
member(sK1,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ~ subset(singleton(sK1),sK2)
& member(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f18,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( ~ subset(singleton(X0),X1)
& member(X0,X1) )
=> ( ~ subset(singleton(sK1),sK2)
& member(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1] :
( ~ subset(singleton(X0),X1)
& member(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] :
( member(X0,X1)
=> subset(singleton(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X2,X0] :
( member(X2,X0)
=> subset(singleton(X2),X0) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X2,X0] :
( member(X2,X0)
=> subset(singleton(X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI44) ).
fof(f37,plain,
~ member(sK1,sK2),
inference(backward_demodulation,[],[f33,f35]) ).
fof(f35,plain,
sK1 = sK0(sK2,singleton(sK1)),
inference(unit_resulting_resolution,[],[f34,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( X0 = X1
| ~ member(X1,singleton(X0)) )
& ( member(X1,singleton(X0))
| X0 != X1 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( X0 = X1
<=> member(X1,singleton(X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2] :
( X0 = X2
<=> member(X2,singleton(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
fof(f34,plain,
member(sK0(sK2,singleton(sK1)),singleton(sK1)),
inference(unit_resulting_resolution,[],[f28,f26]) ).
fof(f26,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) )
| subset(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK0(X0,X1),X1)
& ~ member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
| subset(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f28,plain,
~ subset(singleton(sK1),sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
~ member(sK0(sK2,singleton(sK1)),sK2),
inference(unit_resulting_resolution,[],[f28,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.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 13:15:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (17854)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.49 % (17842)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.49 % (17846)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (17831)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (17854)Refutation not found, incomplete strategy% (17854)------------------------------
% 0.19/0.50 % (17854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17854)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (17854)Memory used [KB]: 1407
% 0.19/0.50 % (17854)Time elapsed: 0.076 s
% 0.19/0.50 % (17854)Instructions burned: 2 (million)
% 0.19/0.50 % (17854)------------------------------
% 0.19/0.50 % (17854)------------------------------
% 0.19/0.50 % (17841)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (17841)First to succeed.
% 0.19/0.50 % (17841)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 % (17841)------------------------------
% 0.19/0.50 % (17841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17841)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (17841)Memory used [KB]: 5884
% 0.19/0.50 % (17841)Time elapsed: 0.104 s
% 0.19/0.50 % (17841)Instructions burned: 2 (million)
% 0.19/0.50 % (17841)------------------------------
% 0.19/0.50 % (17841)------------------------------
% 0.19/0.50 % (17828)Success in time 0.161 s
%------------------------------------------------------------------------------