TSTP Solution File: SET604+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Thu Aug 31 15:44:37 EDT 2023
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 20 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 3 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 (; 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(trivial_inequality_removal,[],[f44]) ).
fof(f44,plain,
empty_set != empty_set,
inference(backward_demodulation,[],[f24,f42]) ).
fof(f42,plain,
! [X1] : empty_set = difference(empty_set,X1),
inference(resolution,[],[f35,f27]) ).
fof(f27,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/tmp/tmp.fMlBOeyYNJ/Vampire---4.8_11999',empty_set_subset) ).
fof(f35,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty_set = difference(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( empty_set = difference(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != difference(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( empty_set = difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.fMlBOeyYNJ/Vampire---4.8_11999',difference_empty_set) ).
fof(f24,plain,
empty_set != difference(empty_set,sK0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
empty_set != difference(empty_set,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).
fof(f13,plain,
( ? [X0] : empty_set != difference(empty_set,X0)
=> empty_set != difference(empty_set,sK0) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] : empty_set != difference(empty_set,X0),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] : empty_set = difference(empty_set,X0),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] : empty_set = difference(empty_set,X0),
file('/export/starexec/sandbox2/tmp/tmp.fMlBOeyYNJ/Vampire---4.8_11999',prove_no_difference_with_empty_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:51:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.fMlBOeyYNJ/Vampire---4.8_11999
% 0.14/0.36 % (12168)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (12170)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.14/0.40 % (12170)First to succeed.
% 0.14/0.40 % (12170)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for Vampire---4
% 0.14/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.40 % (12170)------------------------------
% 0.14/0.40 % (12170)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.40 % (12170)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.40 % (12170)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (12170)Memory used [KB]: 9850
% 0.14/0.40 % (12170)Time elapsed: 0.003 s
% 0.14/0.40 % (12170)------------------------------
% 0.14/0.40 % (12170)------------------------------
% 0.14/0.40 % (12168)Success in time 0.038 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------