TSTP Solution File: SEU150+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% 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 17:56:04 EDT 2023
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 4 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 (; 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,plain,
$false,
inference(subsumption_resolution,[],[f26,f29]) ).
fof(f29,plain,
sK0 = sK2,
inference(equality_resolution,[],[f22]) ).
fof(f22,plain,
! [X7] :
( singleton(sK0) != singleton(X7)
| sK2 = X7 ),
inference(superposition,[],[f14,f15]) ).
fof(f15,plain,
singleton(sK0) = unordered_pair(sK2,sK1),
inference(superposition,[],[f13,f11]) ).
fof(f11,plain,
singleton(sK0) = unordered_pair(sK1,sK2),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( sK1 != sK2
& singleton(sK0) = unordered_pair(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9]) ).
fof(f9,plain,
( ? [X0,X1,X2] :
( X1 != X2
& singleton(X0) = unordered_pair(X1,X2) )
=> ( sK1 != sK2
& singleton(sK0) = unordered_pair(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1,X2] :
( X1 != X2
& singleton(X0) = unordered_pair(X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X1 = X2 ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.IUl2hGAPLE/Vampire---4.8_31823',t9_zfmisc_1) ).
fof(f13,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.IUl2hGAPLE/Vampire---4.8_31823',commutativity_k2_tarski) ).
fof(f14,plain,
! [X2,X0,X1] :
( singleton(X0) != unordered_pair(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1,X2] :
( X0 = X1
| singleton(X0) != unordered_pair(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.IUl2hGAPLE/Vampire---4.8_31823',t8_zfmisc_1) ).
fof(f26,plain,
sK0 != sK2,
inference(superposition,[],[f12,f23]) ).
fof(f23,plain,
sK0 = sK1,
inference(equality_resolution,[],[f19]) ).
fof(f19,plain,
! [X0] :
( singleton(X0) != singleton(sK0)
| sK1 = X0 ),
inference(superposition,[],[f14,f11]) ).
fof(f12,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n027.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 : Wed Aug 23 16:44:01 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.IUl2hGAPLE/Vampire---4.8_31823
% 0.14/0.36 % (31937)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31942)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)
% 0.20/0.41 % (31941)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)
% 0.20/0.41 % (31939)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)
% 0.20/0.41 % (31940)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)
% 0.20/0.41 % (31943)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)
% 0.20/0.41 % (31944)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)
% 0.20/0.41 % (31938)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)
% 0.20/0.42 % (31942)Refutation not found, incomplete strategy% (31942)------------------------------
% 0.20/0.42 % (31942)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (31942)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (31942)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (31942)Memory used [KB]: 895
% 0.20/0.42 % (31942)Time elapsed: 0.004 s
% 0.20/0.42 % (31942)------------------------------
% 0.20/0.42 % (31942)------------------------------
% 0.20/0.42 % (31943)First to succeed.
% 0.20/0.42 % (31941)Also succeeded, but the first one will report.
% 0.20/0.42 % (31943)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (31943)------------------------------
% 0.20/0.42 % (31943)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (31943)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (31943)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (31943)Memory used [KB]: 895
% 0.20/0.42 % (31943)Time elapsed: 0.005 s
% 0.20/0.42 % (31943)------------------------------
% 0.20/0.42 % (31943)------------------------------
% 0.20/0.42 % (31937)Success in time 0.062 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------