TSTP Solution File: SEU189+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU189+2 : 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 : n003.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 17:56:40 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 8 unt; 0 def)
% Number of atoms : 144 ( 53 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 147 ( 62 ~; 58 |; 14 &)
% ( 6 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 17 (; 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1042,plain,
$false,
inference(avatar_sat_refutation,[],[f908,f909,f1003,f1008,f1012,f1038,f1039]) ).
fof(f1039,plain,
( spl66_2
| ~ spl66_3 ),
inference(avatar_split_clause,[],[f1029,f996,f905]) ).
fof(f905,plain,
( spl66_2
<=> empty_set = sF64 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_2])]) ).
fof(f996,plain,
( spl66_3
<=> empty(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_3])]) ).
fof(f1029,plain,
( empty_set = sF64
| ~ spl66_3 ),
inference(forward_demodulation,[],[f1027,f492]) ).
fof(f492,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f153]) ).
fof(f153,axiom,
( empty_set = relation_rng(empty_set)
& empty_set = relation_dom(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.mRlnuEvoBG/Vampire---4.8_15494',t60_relat_1) ).
fof(f1027,plain,
( relation_rng(empty_set) = sF64
| ~ spl66_3 ),
inference(backward_demodulation,[],[f896,f1019]) ).
fof(f1019,plain,
( empty_set = sK12
| ~ spl66_3 ),
inference(resolution,[],[f998,f629]) ).
fof(f629,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.mRlnuEvoBG/Vampire---4.8_15494',t6_boole) ).
fof(f998,plain,
( empty(sK12)
| ~ spl66_3 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f896,plain,
relation_rng(sK12) = sF64,
introduced(function_definition,[]) ).
fof(f1038,plain,
( spl66_1
| ~ spl66_3 ),
inference(avatar_split_clause,[],[f1037,f996,f901]) ).
fof(f901,plain,
( spl66_1
<=> empty_set = sF65 ),
introduced(avatar_definition,[new_symbols(naming,[spl66_1])]) ).
fof(f1037,plain,
( empty_set = sF65
| ~ spl66_3 ),
inference(forward_demodulation,[],[f1036,f491]) ).
fof(f491,plain,
empty_set = relation_dom(empty_set),
inference(cnf_transformation,[],[f153]) ).
fof(f1036,plain,
( relation_dom(empty_set) = sF65
| ~ spl66_3 ),
inference(forward_demodulation,[],[f897,f1019]) ).
fof(f897,plain,
relation_dom(sK12) = sF65,
introduced(function_definition,[]) ).
fof(f1012,plain,
( ~ spl66_1
| spl66_4 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1011,plain,
( $false
| ~ spl66_1
| spl66_4 ),
inference(subsumption_resolution,[],[f1009,f591]) ).
fof(f591,plain,
empty(empty_set),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
empty(empty_set),
file('/export/starexec/sandbox/tmp/tmp.mRlnuEvoBG/Vampire---4.8_15494',fc1_xboole_0) ).
fof(f1009,plain,
( ~ empty(empty_set)
| ~ spl66_1
| spl66_4 ),
inference(backward_demodulation,[],[f1002,f902]) ).
fof(f902,plain,
( empty_set = sF65
| ~ spl66_1 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f1002,plain,
( ~ empty(sF65)
| spl66_4 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1000,plain,
( spl66_4
<=> empty(sF65) ),
introduced(avatar_definition,[new_symbols(naming,[spl66_4])]) ).
fof(f1008,plain,
( spl66_3
| ~ spl66_2 ),
inference(avatar_split_clause,[],[f1007,f905,f996]) ).
fof(f1007,plain,
( empty(sK12)
| ~ spl66_2 ),
inference(subsumption_resolution,[],[f1006,f487]) ).
fof(f487,plain,
relation(sK12),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
( ( empty_set != relation_rng(sK12)
| empty_set != relation_dom(sK12) )
& ( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) )
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f331,f332]) ).
fof(f332,plain,
( ? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) )
=> ( ( empty_set != relation_rng(sK12)
| empty_set != relation_dom(sK12) )
& ( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) )
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(flattening,[],[f330]) ).
fof(f330,plain,
? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f184]) ).
fof(f184,plain,
? [X0] :
( ( empty_set = relation_dom(X0)
<~> empty_set = relation_rng(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) ) ),
inference(negated_conjecture,[],[f157]) ).
fof(f157,conjecture,
! [X0] :
( relation(X0)
=> ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.mRlnuEvoBG/Vampire---4.8_15494',t65_relat_1) ).
fof(f1006,plain,
( ~ relation(sK12)
| empty(sK12)
| ~ spl66_2 ),
inference(subsumption_resolution,[],[f1004,f591]) ).
fof(f1004,plain,
( ~ empty(empty_set)
| ~ relation(sK12)
| empty(sK12)
| ~ spl66_2 ),
inference(superposition,[],[f635,f937]) ).
fof(f937,plain,
( empty_set = relation_rng(sK12)
| ~ spl66_2 ),
inference(backward_demodulation,[],[f896,f906]) ).
fof(f906,plain,
( empty_set = sF64
| ~ spl66_2 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f635,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.mRlnuEvoBG/Vampire---4.8_15494',fc6_relat_1) ).
fof(f1003,plain,
( spl66_3
| ~ spl66_4 ),
inference(avatar_split_clause,[],[f994,f1000,f996]) ).
fof(f994,plain,
( ~ empty(sF65)
| empty(sK12) ),
inference(subsumption_resolution,[],[f993,f487]) ).
fof(f993,plain,
( ~ empty(sF65)
| ~ relation(sK12)
| empty(sK12) ),
inference(superposition,[],[f634,f897]) ).
fof(f634,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.mRlnuEvoBG/Vampire---4.8_15494',fc5_relat_1) ).
fof(f909,plain,
( spl66_1
| spl66_2 ),
inference(avatar_split_clause,[],[f899,f905,f901]) ).
fof(f899,plain,
( empty_set = sF64
| empty_set = sF65 ),
inference(definition_folding,[],[f488,f897,f896]) ).
fof(f488,plain,
( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) ),
inference(cnf_transformation,[],[f333]) ).
fof(f908,plain,
( ~ spl66_1
| ~ spl66_2 ),
inference(avatar_split_clause,[],[f898,f905,f901]) ).
fof(f898,plain,
( empty_set != sF64
| empty_set != sF65 ),
inference(definition_folding,[],[f489,f897,f896]) ).
fof(f489,plain,
( empty_set != relation_rng(sK12)
| empty_set != relation_dom(sK12) ),
inference(cnf_transformation,[],[f333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU189+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n003.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 : Wed Aug 23 16:33:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.mRlnuEvoBG/Vampire---4.8_15494
% 0.15/0.37 % (15622)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (15624)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.43 % (15626)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.43 % (15627)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (15623)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.43 % (15628)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.22/0.44 % (15625)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.44 % (15629)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.45 % (15626)First to succeed.
% 0.22/0.45 % (15626)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (15626)------------------------------
% 0.22/0.45 % (15626)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (15626)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (15626)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (15626)Memory used [KB]: 6140
% 0.22/0.45 % (15626)Time elapsed: 0.019 s
% 0.22/0.45 % (15626)------------------------------
% 0.22/0.45 % (15626)------------------------------
% 0.22/0.45 % (15622)Success in time 0.082 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------