TSTP Solution File: SET926+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n018.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 18:22:46 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 41 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 22 ~; 11 |; 7 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,plain,
$false,
inference(subsumption_resolution,[],[f35,f34]) ).
fof(f34,plain,
~ in(sK3,sK2),
inference(unit_resulting_resolution,[],[f32,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set = set_difference(singleton(X1),X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( empty_set = set_difference(singleton(X1),X0)
| ~ in(X1,X0) )
& ( in(X1,X0)
| empty_set != set_difference(singleton(X1),X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( empty_set = set_difference(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f32,plain,
empty_set != set_difference(singleton(sK3),sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( singleton(sK3) != set_difference(singleton(sK3),sK2)
& empty_set != set_difference(singleton(sK3),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f13,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( set_difference(singleton(X1),X0) != singleton(X1)
& empty_set != set_difference(singleton(X1),X0) )
=> ( singleton(sK3) != set_difference(singleton(sK3),sK2)
& empty_set != set_difference(singleton(sK3),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1] :
( set_difference(singleton(X1),X0) != singleton(X1)
& empty_set != set_difference(singleton(X1),X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0,X1] :
( empty_set = set_difference(singleton(X1),X0)
| set_difference(singleton(X1),X0) = singleton(X1) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X1,X0] :
( singleton(X0) = set_difference(singleton(X0),X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X1,X0] :
( singleton(X0) = set_difference(singleton(X0),X1)
| empty_set = set_difference(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_zfmisc_1) ).
fof(f35,plain,
in(sK3,sK2),
inference(unit_resulting_resolution,[],[f33,f27]) ).
fof(f27,plain,
! [X0,X1] :
( in(X1,X0)
| set_difference(singleton(X1),X0) = singleton(X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( ~ in(X1,X0)
| set_difference(singleton(X1),X0) != singleton(X1) )
& ( set_difference(singleton(X1),X0) = singleton(X1)
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ~ in(X1,X0)
<=> set_difference(singleton(X1),X0) = singleton(X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ~ in(X0,X1)
<=> singleton(X0) = set_difference(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1) ).
fof(f33,plain,
singleton(sK3) != set_difference(singleton(sK3),sK2),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:34:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (30144)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50 % (30147)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 (2999ds/51Mi)
% 0.20/0.50 % (30155)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)
% 0.20/0.50 % (30155)First to succeed.
% 0.20/0.51 % (30155)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (30155)------------------------------
% 0.20/0.51 % (30155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (30155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (30155)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (30155)Memory used [KB]: 5884
% 0.20/0.51 % (30155)Time elapsed: 0.100 s
% 0.20/0.51 % (30155)Instructions burned: 1 (million)
% 0.20/0.51 % (30155)------------------------------
% 0.20/0.51 % (30155)------------------------------
% 0.20/0.51 % (30139)Success in time 0.151 s
%------------------------------------------------------------------------------