TSTP Solution File: SEU188+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU188+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 : n012.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 17:56:39 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 90 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 89 ( 34 ~; 35 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 16 (; 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(unit_resulting_resolution,[],[f84,f151,f99]) ).
fof(f99,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.F1d2cpqm3b/Vampire---4.8_17076',t6_boole) ).
fof(f151,plain,
empty(sK0),
inference(subsumption_resolution,[],[f150,f85]) ).
fof(f85,plain,
empty(empty_set),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
empty(empty_set),
file('/export/starexec/sandbox/tmp/tmp.F1d2cpqm3b/Vampire---4.8_17076',fc1_xboole_0) ).
fof(f150,plain,
( ~ empty(empty_set)
| empty(sK0) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f149,plain,
( ~ empty(empty_set)
| empty(sK0)
| empty(sK0) ),
inference(superposition,[],[f143,f148]) ).
fof(f148,plain,
( empty_set = sF14
| empty(sK0) ),
inference(subsumption_resolution,[],[f147,f85]) ).
fof(f147,plain,
( ~ empty(empty_set)
| empty(sK0)
| empty_set = sF14 ),
inference(superposition,[],[f146,f128]) ).
fof(f128,plain,
( empty_set = sF15
| empty_set = sF14 ),
inference(definition_folding,[],[f83,f127,f126]) ).
fof(f126,plain,
relation_rng(sK0) = sF14,
introduced(function_definition,[]) ).
fof(f127,plain,
relation_dom(sK0) = sF15,
introduced(function_definition,[]) ).
fof(f83,plain,
( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( empty_set != sK0
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) )
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f37,f56]) ).
fof(f56,plain,
( ? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) )
=> ( empty_set != sK0
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) )
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.F1d2cpqm3b/Vampire---4.8_17076',t64_relat_1) ).
fof(f146,plain,
( ~ empty(sF15)
| empty(sK0) ),
inference(subsumption_resolution,[],[f145,f82]) ).
fof(f82,plain,
relation(sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f145,plain,
( ~ empty(sF15)
| ~ relation(sK0)
| empty(sK0) ),
inference(superposition,[],[f105,f127]) ).
fof(f105,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.F1d2cpqm3b/Vampire---4.8_17076',fc5_relat_1) ).
fof(f143,plain,
( ~ empty(sF14)
| empty(sK0) ),
inference(subsumption_resolution,[],[f142,f82]) ).
fof(f142,plain,
( ~ empty(sF14)
| ~ relation(sK0)
| empty(sK0) ),
inference(superposition,[],[f104,f126]) ).
fof(f104,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.F1d2cpqm3b/Vampire---4.8_17076',fc6_relat_1) ).
fof(f84,plain,
empty_set != sK0,
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n012.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 13:51:12 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/sandbox/tmp/tmp.F1d2cpqm3b/Vampire---4.8_17076
% 0.15/0.36 % (17189)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (17191)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)
% 0.22/0.42 % (17193)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)
% 0.22/0.42 % (17192)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)
% 0.22/0.42 % (17196)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42 % (17195)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)
% 0.22/0.42 % (17190)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)
% 0.22/0.42 % (17197)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)
% 0.22/0.42 % (17195)First to succeed.
% 0.22/0.42 % (17196)Also succeeded, but the first one will report.
% 0.22/0.43 % (17193)Also succeeded, but the first one will report.
% 0.22/0.43 % (17195)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 % (17195)------------------------------
% 0.22/0.43 % (17195)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (17195)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (17195)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (17195)Memory used [KB]: 1023
% 0.22/0.43 % (17195)Time elapsed: 0.006 s
% 0.22/0.43 % (17195)------------------------------
% 0.22/0.43 % (17195)------------------------------
% 0.22/0.43 % (17189)Success in time 0.064 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------