TSTP Solution File: SET583+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET583+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 : n027.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 15:44:25 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 46 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 16 ~; 9 |; 17 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 (; 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
$false,
inference(subsumption_resolution,[],[f38,f19]) ).
fof(f19,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( sK0 != sK1
& subset(sK1,sK0)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9]) ).
fof(f9,plain,
( ? [X0,X1] :
( X0 != X1
& subset(X1,X0)
& subset(X0,X1) )
=> ( sK0 != sK1
& subset(sK1,sK0)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1] :
( X0 != X1
& subset(X1,X0)
& subset(X0,X1) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0,X1] :
( X0 != X1
& subset(X1,X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> X0 = X1 ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.o2WgCZMwi8/Vampire---4.8_5029',prove_extensionality) ).
fof(f38,plain,
sK0 = sK1,
inference(subsumption_resolution,[],[f29,f18]) ).
fof(f18,plain,
subset(sK1,sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
( ~ subset(sK1,sK0)
| sK0 = sK1 ),
inference(resolution,[],[f23,f17]) ).
fof(f17,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.o2WgCZMwi8/Vampire---4.8_5029',equal_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET583+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 08:43:49 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.o2WgCZMwi8/Vampire---4.8_5029
% 0.14/0.37 % (5137)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (5141)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)
% 0.22/0.43 % (5143)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.43 % (5145)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.43 % (5150)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_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.43 % (5139)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_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.43 % (5147)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.43 % (5141)First to succeed.
% 0.22/0.43 % (5145)Also succeeded, but the first one will report.
% 0.22/0.43 % (5149)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.43 % (5141)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 % (5141)------------------------------
% 0.22/0.43 % (5141)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (5141)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (5141)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (5141)Memory used [KB]: 9850
% 0.22/0.43 % (5141)Time elapsed: 0.003 s
% 0.22/0.43 % (5141)------------------------------
% 0.22/0.43 % (5141)------------------------------
% 0.22/0.43 % (5137)Success in time 0.061 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------