TSTP Solution File: SWV374+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 10:29:22 EDT 2024
% Result : Theorem 0.53s 0.72s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 144 ( 35 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 140 ( 50 ~; 60 |; 16 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 70 ( 64 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(avatar_sat_refutation,[],[f104,f115,f126,f127,f133]) ).
fof(f133,plain,
( spl3_3
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| spl3_3
| spl3_5 ),
inference(subsumption_resolution,[],[f131,f129]) ).
fof(f129,plain,
( less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| spl3_3 ),
inference(resolution,[],[f103,f73]) ).
fof(f73,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542',totality) ).
fof(f103,plain,
( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| spl3_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl3_3
<=> less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f131,plain,
( ~ less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| spl3_3
| spl3_5 ),
inference(subsumption_resolution,[],[f130,f103]) ).
fof(f130,plain,
( less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| spl3_5 ),
inference(resolution,[],[f125,f90]) ).
fof(f90,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542',stricly_smaller_definition) ).
fof(f125,plain,
( ~ strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| spl3_5 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl3_5
<=> strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f127,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f108,f97,f93]) ).
fof(f93,plain,
( spl3_1
<=> create_slb = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f97,plain,
( spl3_2
<=> contains_slb(sK1,findmin_pqp_res(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f108,plain,
( contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 ),
inference(subsumption_resolution,[],[f105,f82]) ).
fof(f82,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542',ax40) ).
fof(f105,plain,
( ok(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad))
| contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 ),
inference(superposition,[],[f70,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542',ax47) ).
fof(f70,plain,
ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 )
& ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f50,f66]) ).
fof(f66,plain,
( ? [X0,X1,X2] :
( ( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 )
& ok(findmin_cpq_eff(triple(X0,X1,X2))) )
=> ( ( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 )
& ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2] :
( ( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 )
& ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
=> ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 ) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
=> ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542',l10_co) ).
fof(f126,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f121,f123,f97,f93]) ).
fof(f121,plain,
( ~ strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 ),
inference(subsumption_resolution,[],[f106,f82]) ).
fof(f106,plain,
( ok(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad))
| ~ strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 ),
inference(superposition,[],[f70,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542',ax48) ).
fof(f115,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f114,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f113,f82]) ).
fof(f113,plain,
( ok(triple(sK0,create_slb,bad))
| ~ spl3_1 ),
inference(forward_demodulation,[],[f111,f83]) ).
fof(f83,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
file('/export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542',ax46) ).
fof(f111,plain,
( ok(findmin_cpq_eff(triple(sK0,create_slb,sK2)))
| ~ spl3_1 ),
inference(superposition,[],[f70,f95]) ).
fof(f95,plain,
( create_slb = sK1
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f104,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f71,f101,f97,f93]) ).
fof(f71,plain,
( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| create_slb = sK1 ),
inference(cnf_transformation,[],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri May 3 21:11:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.jGqGrpL2pO/Vampire---4.8_30542
% 0.53/0.71 % (30651)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.71 % (30653)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.71 % (30655)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.71 % (30654)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.53/0.71 % (30657)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.53/0.71 % (30656)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.71 % (30652)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.53/0.71 % (30658)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.53/0.72 % (30651)Refutation not found, incomplete strategy% (30651)------------------------------
% 0.53/0.72 % (30651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72 % (30651)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (30651)Memory used [KB]: 1076
% 0.53/0.72 % (30651)Time elapsed: 0.003 s
% 0.53/0.72 % (30651)Instructions burned: 4 (million)
% 0.53/0.72 % (30658)Refutation not found, incomplete strategy% (30658)------------------------------
% 0.53/0.72 % (30658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72 % (30658)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (30658)Memory used [KB]: 1070
% 0.53/0.72 % (30658)Time elapsed: 0.003 s
% 0.53/0.72 % (30658)Instructions burned: 3 (million)
% 0.53/0.72 % (30651)------------------------------
% 0.53/0.72 % (30651)------------------------------
% 0.53/0.72 % (30655)Refutation not found, incomplete strategy% (30655)------------------------------
% 0.53/0.72 % (30655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72 % (30655)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (30655)Memory used [KB]: 1080
% 0.53/0.72 % (30655)Time elapsed: 0.003 s
% 0.53/0.72 % (30655)Instructions burned: 5 (million)
% 0.53/0.72 % (30658)------------------------------
% 0.53/0.72 % (30658)------------------------------
% 0.53/0.72 % (30655)------------------------------
% 0.53/0.72 % (30655)------------------------------
% 0.53/0.72 % (30656)First to succeed.
% 0.53/0.72 % (30656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30650"
% 0.53/0.72 % (30656)Refutation found. Thanks to Tanya!
% 0.53/0.72 % SZS status Theorem for Vampire---4
% 0.53/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.72 % (30656)------------------------------
% 0.53/0.72 % (30656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72 % (30656)Termination reason: Refutation
% 0.53/0.72
% 0.53/0.72 % (30656)Memory used [KB]: 1094
% 0.53/0.72 % (30656)Time elapsed: 0.005 s
% 0.53/0.72 % (30656)Instructions burned: 5 (million)
% 0.53/0.72 % (30650)Success in time 0.365 s
% 0.53/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------