TSTP Solution File: SWV041+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV041+1 : TPTP v8.1.2. Bugfixed 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 : Wed May 1 04:02:18 EDT 2024
% Result : Theorem 0.73s 0.89s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 116 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 108 ( 31 ~; 20 |; 41 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 36 ( 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f429,plain,
$false,
inference(avatar_sat_refutation,[],[f345,f394,f428]) ).
fof(f428,plain,
spl2_24,
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| spl2_24 ),
inference(subsumption_resolution,[],[f426,f389]) ).
fof(f389,plain,
gt(n0,sK1),
inference(resolution,[],[f143,f218]) ).
fof(f218,plain,
! [X0,X1] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f193,f165]) ).
fof(f165,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/tmp/tmp.JcoYN6IJ7F/Vampire---4.8_17989',pred_minus_1) ).
fof(f193,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.JcoYN6IJ7F/Vampire---4.8_17989',leq_gt_pred) ).
fof(f143,plain,
leq(sK1,minus(n0,n1)),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sK1,sK0)
& leq(sK1,minus(n0,n1))
& leq(n0,sK1)
& leq(sK0,n2)
& leq(n0,sK0)
& geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f106,f133,f132]) ).
fof(f132,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0)
& leq(X1,minus(n0,n1))
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ? [X1] :
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,sK0)
& leq(X1,minus(n0,n1))
& leq(n0,X1) )
& leq(sK0,n2)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X1] :
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,sK0)
& leq(X1,minus(n0,n1))
& leq(n0,X1) )
=> ( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sK1,sK0)
& leq(sK1,minus(n0,n1))
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0)
& leq(X1,minus(n0,n1))
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
& geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0)
& leq(X1,minus(n0,n1))
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
& geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,minus(n0,n1))
& leq(n0,X1) )
=> init = a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,minus(n0,n1))
& leq(n0,X17) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X17,X13) = init ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,minus(n0,n1))
& leq(n0,X17) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X17,X13) = init ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JcoYN6IJ7F/Vampire---4.8_17989',gauss_init_0077) ).
fof(f426,plain,
( ~ gt(n0,sK1)
| spl2_24 ),
inference(resolution,[],[f344,f147]) ).
fof(f147,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JcoYN6IJ7F/Vampire---4.8_17989',leq_gt1) ).
fof(f344,plain,
( ~ leq(sK1,n0)
| spl2_24 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl2_24
<=> leq(sK1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
fof(f394,plain,
~ spl2_15,
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| ~ spl2_15 ),
inference(subsumption_resolution,[],[f392,f181]) ).
fof(f181,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.JcoYN6IJ7F/Vampire---4.8_17989',irreflexivity_gt) ).
fof(f392,plain,
( gt(n0,n0)
| ~ spl2_15 ),
inference(forward_demodulation,[],[f389,f303]) ).
fof(f303,plain,
( n0 = sK1
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl2_15
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f345,plain,
( spl2_15
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f290,f342,f301]) ).
fof(f290,plain,
( ~ leq(sK1,n0)
| n0 = sK1 ),
inference(resolution,[],[f142,f145]) ).
fof(f145,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.JcoYN6IJ7F/Vampire---4.8_17989',finite_domain_0) ).
fof(f142,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV041+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n022.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 : Tue Apr 30 18:32:28 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.JcoYN6IJ7F/Vampire---4.8_17989
% 0.73/0.88 % (18212)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.73/0.88 % (18209)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.73/0.88 % (18207)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 (2994ds/34Mi)
% 0.73/0.88 % (18208)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 (2994ds/51Mi)
% 0.73/0.88 % (18211)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 (2994ds/34Mi)
% 0.73/0.88 % (18210)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.73/0.88 % (18213)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 (2994ds/83Mi)
% 0.73/0.88 % (18214)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 (2994ds/56Mi)
% 0.73/0.89 % (18214)Refutation not found, incomplete strategy% (18214)------------------------------
% 0.73/0.89 % (18214)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.89 % (18214)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.89
% 0.73/0.89 % (18214)Memory used [KB]: 1103
% 0.73/0.89 % (18214)Time elapsed: 0.005 s
% 0.73/0.89 % (18214)Instructions burned: 5 (million)
% 0.73/0.89 % (18214)------------------------------
% 0.73/0.89 % (18214)------------------------------
% 0.73/0.89 % (18212)First to succeed.
% 0.73/0.89 % (18212)Refutation found. Thanks to Tanya!
% 0.73/0.89 % SZS status Theorem for Vampire---4
% 0.73/0.89 % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.89 % (18212)------------------------------
% 0.73/0.89 % (18212)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.89 % (18212)Termination reason: Refutation
% 0.73/0.89
% 0.73/0.89 % (18212)Memory used [KB]: 1194
% 0.73/0.89 % (18212)Time elapsed: 0.007 s
% 0.73/0.89 % (18212)Instructions burned: 10 (million)
% 0.73/0.89 % (18212)------------------------------
% 0.73/0.89 % (18212)------------------------------
% 0.73/0.89 % (18150)Success in time 0.514 s
% 0.73/0.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------