TSTP Solution File: SET696+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET696+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 : n026.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 18:21:54 EDT 2022
% Result : Theorem 0.18s 0.59s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 147 ( 58 ~; 43 |; 31 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 81 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(subsumption_resolution,[],[f60,f58]) ).
fof(f58,plain,
member(sK0(intersection(difference(sK1,sK2),sK2),empty_set),sK2),
inference(resolution,[],[f56,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X2,X0))
| member(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X2,X1)) )
& ( member(X0,intersection(X2,X1))
| ~ member(X0,X1)
| ~ member(X0,X2) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X2,X1)) )
& ( member(X0,intersection(X2,X1))
| ~ member(X0,X1)
| ~ member(X0,X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0,X2] :
( ( member(X0,X1)
& member(X0,X2) )
<=> member(X0,intersection(X2,X1)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f56,plain,
member(sK0(intersection(difference(sK1,sK2),sK2),empty_set),intersection(difference(sK1,sK2),sK2)),
inference(subsumption_resolution,[],[f55,f46]) ).
fof(f46,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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(f55,plain,
( member(sK0(intersection(difference(sK1,sK2),sK2),empty_set),intersection(difference(sK1,sK2),sK2))
| member(sK0(empty_set,intersection(difference(sK1,sK2),sK2)),empty_set) ),
inference(resolution,[],[f53,f41]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f28,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,[],[f27]) ).
fof(f27,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,[],[f20]) ).
fof(f20,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(f53,plain,
( ~ subset(empty_set,intersection(difference(sK1,sK2),sK2))
| member(sK0(intersection(difference(sK1,sK2),sK2),empty_set),intersection(difference(sK1,sK2),sK2)) ),
inference(resolution,[],[f51,f41]) ).
fof(f51,plain,
( ~ subset(intersection(difference(sK1,sK2),sK2),empty_set)
| ~ subset(empty_set,intersection(difference(sK1,sK2),sK2)) ),
inference(resolution,[],[f44,f45]) ).
fof(f45,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( equal_set(X1,X0)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f44,plain,
~ equal_set(intersection(difference(sK1,sK2),sK2),empty_set),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ equal_set(intersection(difference(sK1,sK2),sK2),empty_set)
& subset(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f23,f31]) ).
fof(f31,plain,
( ? [X0,X1] :
( ~ equal_set(intersection(difference(X0,X1),X1),empty_set)
& subset(X1,X0) )
=> ( ~ equal_set(intersection(difference(sK1,sK2),sK2),empty_set)
& subset(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1] :
( ~ equal_set(intersection(difference(X0,X1),X1),empty_set)
& subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] :
( subset(X1,X0)
=> equal_set(intersection(difference(X0,X1),X1),empty_set) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3,X0] :
( subset(X0,X3)
=> equal_set(intersection(difference(X3,X0),X0),empty_set) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3,X0] :
( subset(X0,X3)
=> equal_set(intersection(difference(X3,X0),X0),empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI28) ).
fof(f60,plain,
~ member(sK0(intersection(difference(sK1,sK2),sK2),empty_set),sK2),
inference(resolution,[],[f57,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) )
& ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) )
& ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( member(X1,difference(X2,X0))
<=> ( member(X1,X2)
& ~ member(X1,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X3] :
( member(X1,difference(X3,X0))
<=> ( member(X1,X3)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f57,plain,
member(sK0(intersection(difference(sK1,sK2),sK2),empty_set),difference(sK1,sK2)),
inference(resolution,[],[f56,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X2,X0))
| member(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET696+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 14:35:51 EDT 2022
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% 0.18/0.58 % (21620)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.18/0.58 % (21638)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/95Mi)
% 0.18/0.59 % (21619)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.18/0.59 % (21618)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.18/0.59 % (21616)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.18/0.59 % (21618)First to succeed.
% 0.18/0.59 % (21618)Refutation found. Thanks to Tanya!
% 0.18/0.59 % SZS status Theorem for theBenchmark
% 0.18/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.59 % (21618)------------------------------
% 0.18/0.59 % (21618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59 % (21618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59 % (21618)Termination reason: Refutation
% 0.18/0.59
% 0.18/0.59 % (21618)Memory used [KB]: 1407
% 0.18/0.59 % (21618)Time elapsed: 0.091 s
% 0.18/0.59 % (21618)Instructions burned: 2 (million)
% 0.18/0.59 % (21618)------------------------------
% 0.18/0.59 % (21618)------------------------------
% 0.18/0.59 % (21472)Success in time 0.249 s
%------------------------------------------------------------------------------