TSTP Solution File: SET077+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : 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 : Thu Aug 31 15:36:21 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 14 unt; 0 def)
% Number of atoms : 16 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 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 : 10 (; 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,plain,
$false,
inference(subsumption_resolution,[],[f270,f268]) ).
fof(f268,plain,
~ member(sF7,universal_class),
inference(definition_folding,[],[f228,f267]) ).
fof(f267,plain,
unordered_pair(sK0,sK0) = sF7,
introduced(function_definition,[]) ).
fof(f228,plain,
~ member(unordered_pair(sK0,sK0),universal_class),
inference(definition_unfolding,[],[f135,f141]) ).
fof(f141,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.kplwN8urlH/Vampire---4.8_4892',singleton_set_defn) ).
fof(f135,plain,
~ member(singleton(sK0),universal_class),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
~ member(singleton(sK0),universal_class),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f71,f85]) ).
fof(f85,plain,
( ? [X0] : ~ member(singleton(X0),universal_class)
=> ~ member(singleton(sK0),universal_class) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
? [X0] : ~ member(singleton(X0),universal_class),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] : member(singleton(X0),universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] : member(singleton(X0),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.kplwN8urlH/Vampire---4.8_4892',singletons_are_sets) ).
fof(f270,plain,
member(sF7,universal_class),
inference(superposition,[],[f160,f267]) ).
fof(f160,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.kplwN8urlH/Vampire---4.8_4892',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n002.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 14:51:18 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.kplwN8urlH/Vampire---4.8_4892
% 0.15/0.37 % (5032)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (5034)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.43 % (5037)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.43 % (5038)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.43 % (5036)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.43 % (5035)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.43 % (5039)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.43 % (5039)First to succeed.
% 0.22/0.43 % (5040)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.43 % (5038)Also succeeded, but the first one will report.
% 0.22/0.43 % (5037)Refutation not found, incomplete strategy% (5037)------------------------------
% 0.22/0.43 % (5037)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (5037)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (5037)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (5037)Memory used [KB]: 10106
% 0.22/0.43 % (5037)Time elapsed: 0.007 s
% 0.22/0.43 % (5037)------------------------------
% 0.22/0.43 % (5037)------------------------------
% 0.22/0.43 % (5039)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (5039)------------------------------
% 0.22/0.43 % (5039)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (5039)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (5039)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (5039)Memory used [KB]: 5500
% 0.22/0.43 % (5039)Time elapsed: 0.004 s
% 0.22/0.43 % (5039)------------------------------
% 0.22/0.43 % (5039)------------------------------
% 0.22/0.43 % (5032)Success in time 0.065 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------