TSTP Solution File: SET605+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET605+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_uns --cores 0 -t %d %s
% Computer : n002.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 18:21:35 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 24 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 5 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 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 : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(unit_resulting_resolution,[],[f55,f50,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| difference(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| difference(X0,X1) != empty_set )
& ( difference(X0,X1) = empty_set
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ( subset(X1,X0)
| empty_set != difference(X1,X0) )
& ( empty_set = difference(X1,X0)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( subset(X1,X0)
<=> empty_set = difference(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_empty_set) ).
fof(f50,plain,
empty_set != difference(sK2,union(sK2,sK3)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
empty_set != difference(sK2,union(sK2,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f19,f31]) ).
fof(f31,plain,
( ? [X0,X1] : empty_set != difference(X0,union(X0,X1))
=> empty_set != difference(sK2,union(sK2,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1] : empty_set != difference(X0,union(X0,X1)),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0] : empty_set = difference(X0,union(X0,X1)),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0] : empty_set = difference(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th76) ).
fof(f55,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET605+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % 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 : n002.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:16:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (16291)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)
% 0.19/0.46 % (16291)First to succeed.
% 0.19/0.46 % (16283)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)
% 0.19/0.47 % (16291)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (16291)------------------------------
% 0.19/0.47 % (16291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (16291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (16291)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (16291)Memory used [KB]: 1407
% 0.19/0.47 % (16291)Time elapsed: 0.045 s
% 0.19/0.47 % (16291)Instructions burned: 2 (million)
% 0.19/0.47 % (16291)------------------------------
% 0.19/0.47 % (16291)------------------------------
% 0.19/0.47 % (16263)Success in time 0.123 s
%------------------------------------------------------------------------------