TSTP Solution File: SET891+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : 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 : Thu Aug 31 15:46:13 EDT 2023
% Result : Theorem 0.23s 0.43s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 16 (; 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f27,plain,
! [X0,X1] : unordered_pair(X0,X1) = set_union2(singleton(X0),singleton(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : unordered_pair(X0,X1) = set_union2(singleton(X0),singleton(X1)),
file('/export/starexec/sandbox2/tmp/tmp.ya4y7P3zyU/Vampire---4.8_1784',t41_enumset1) ).
fof(f32,plain,
unordered_pair(sK0,sK1) != set_union2(singleton(sK0),singleton(sK1)),
inference(forward_demodulation,[],[f22,f26]) ).
fof(f26,plain,
! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : set_union2(X0,X1) = union(unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.ya4y7P3zyU/Vampire---4.8_1784',l52_zfmisc_1) ).
fof(f22,plain,
unordered_pair(sK0,sK1) != union(unordered_pair(singleton(sK0),singleton(sK1))),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
unordered_pair(sK0,sK1) != union(unordered_pair(singleton(sK0),singleton(sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f16]) ).
fof(f16,plain,
( ? [X0,X1] : unordered_pair(X0,X1) != union(unordered_pair(singleton(X0),singleton(X1)))
=> unordered_pair(sK0,sK1) != union(unordered_pair(singleton(sK0),singleton(sK1))) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1] : unordered_pair(X0,X1) != union(unordered_pair(singleton(X0),singleton(X1))),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : unordered_pair(X0,X1) = union(unordered_pair(singleton(X0),singleton(X1))),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] : unordered_pair(X0,X1) = union(unordered_pair(singleton(X0),singleton(X1))),
file('/export/starexec/sandbox2/tmp/tmp.ya4y7P3zyU/Vampire---4.8_1784',t32_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 13:05:00 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ya4y7P3zyU/Vampire---4.8_1784
% 0.15/0.37 % (2155)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (2157)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)
% 0.23/0.42 % (2157)First to succeed.
% 0.23/0.43 % (2157)Refutation found. Thanks to Tanya!
% 0.23/0.43 % SZS status Theorem for Vampire---4
% 0.23/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.43 % (2157)------------------------------
% 0.23/0.43 % (2157)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (2157)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (2157)Termination reason: Refutation
% 0.23/0.43
% 0.23/0.43 % (2157)Memory used [KB]: 9850
% 0.23/0.43 % (2157)Time elapsed: 0.004 s
% 0.23/0.43 % (2157)------------------------------
% 0.23/0.43 % (2157)------------------------------
% 0.23/0.43 % (2155)Success in time 0.054 s
% 0.23/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------