TSTP Solution File: SEU160+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU160+3 : 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 : n020.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 17:56:23 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 85 ( 53 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 91 ( 35 ~; 37 |; 14 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 27 (; 19 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(subsumption_resolution,[],[f36,f45]) ).
fof(f45,plain,
empty_set = sK0,
inference(trivial_inequality_removal,[],[f42]) ).
fof(f42,plain,
( sK0 != sK0
| empty_set = sK0 ),
inference(superposition,[],[f34,f39]) ).
fof(f39,plain,
( sK0 = singleton(sK1)
| empty_set = sK0 ),
inference(resolution,[],[f25,f37]) ).
fof(f37,plain,
subset(sK0,singleton(sK1)),
inference(subsumption_resolution,[],[f35,f36]) ).
fof(f35,plain,
( empty_set = sK0
| subset(sK0,singleton(sK1)) ),
inference(subsumption_resolution,[],[f20,f34]) ).
fof(f20,plain,
( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ( sK0 != singleton(sK1)
& empty_set != sK0 )
| ~ subset(sK0,singleton(sK1)) )
& ( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f12]) ).
fof(f12,plain,
( ? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) )
=> ( ( ( sK0 != singleton(sK1)
& empty_set != sK0 )
| ~ subset(sK0,singleton(sK1)) )
& ( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0,X1] :
( subset(X0,singleton(X1))
<~> ( singleton(X1) = X0
| empty_set = X0 ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.sxihj8rH30/Vampire---4.8_8157',t39_zfmisc_1) ).
fof(f25,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.sxihj8rH30/Vampire---4.8_8157',l4_zfmisc_1) ).
fof(f34,plain,
sK0 != singleton(sK1),
inference(subsumption_resolution,[],[f32,f24]) ).
fof(f24,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.sxihj8rH30/Vampire---4.8_8157',reflexivity_r1_tarski) ).
fof(f32,plain,
( sK0 != singleton(sK1)
| ~ subset(sK0,sK0) ),
inference(inner_rewriting,[],[f22]) ).
fof(f22,plain,
( sK0 != singleton(sK1)
| ~ subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
empty_set != sK0,
inference(subsumption_resolution,[],[f33,f31]) ).
fof(f31,plain,
! [X1] : subset(empty_set,singleton(X1)),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,singleton(X1))
| empty_set != X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
( empty_set != sK0
| ~ subset(empty_set,singleton(sK1)) ),
inference(inner_rewriting,[],[f21]) ).
fof(f21,plain,
( empty_set != sK0
| ~ subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 15:22:31 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.sxihj8rH30/Vampire---4.8_8157
% 0.15/0.35 % (8364)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (8369)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)
% 0.21/0.41 % (8367)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)
% 0.21/0.41 % (8368)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)
% 0.21/0.41 % (8366)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)
% 0.21/0.41 % (8370)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)
% 0.21/0.41 % (8365)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)
% 0.21/0.41 % (8369)Refutation not found, incomplete strategy% (8369)------------------------------
% 0.21/0.41 % (8369)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41 % (8369)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41 % (8369)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.41
% 0.21/0.41 % (8369)Memory used [KB]: 895
% 0.21/0.41 % (8369)Time elapsed: 0.004 s
% 0.21/0.41 % (8369)------------------------------
% 0.21/0.41 % (8369)------------------------------
% 0.21/0.41 % (8370)First to succeed.
% 0.21/0.41 % (8371)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)
% 0.21/0.42 % (8367)Also succeeded, but the first one will report.
% 0.21/0.42 % (8366)Also succeeded, but the first one will report.
% 0.21/0.42 % (8370)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (8370)------------------------------
% 0.21/0.42 % (8370)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (8370)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (8370)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (8370)Memory used [KB]: 895
% 0.21/0.42 % (8370)Time elapsed: 0.004 s
% 0.21/0.42 % (8370)------------------------------
% 0.21/0.42 % (8370)------------------------------
% 0.21/0.42 % (8364)Success in time 0.061 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------