TSTP Solution File: SWC405+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC405+1 : TPTP v8.2.0. Released v2.4.0.
% 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 : n018.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 : Tue May 21 04:38:45 EDT 2024
% Result : Theorem 0.74s 0.91s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 201 ( 30 equ)
% Maximal formula atoms : 28 ( 10 avg)
% Number of connectives : 248 ( 67 ~; 50 |; 111 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 65 ( 27 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(unit_resulting_resolution,[],[f131,f149,f148,f129]) ).
fof(f129,plain,
! [X5] :
( memberP(sK3,X5)
| ~ memberP(sK2,X5)
| ~ ssItem(X5) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ memberP(sK1,sK4)
& memberP(sK0,sK4)
& ssItem(sK4)
& ! [X5] :
( ( ( ~ memberP(sK3,X5)
| memberP(sK2,X5) )
& ( ~ memberP(sK2,X5)
| memberP(sK3,X5) ) )
| ~ ssItem(X5) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f100,f109,f108,f107,f106,f105]) ).
fof(f105,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ~ memberP(sK1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(sK2,X5) )
& ( ~ memberP(sK2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ? [X3] :
( ? [X4] :
( ~ memberP(sK1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(sK2,X5) )
& ( ~ memberP(sK2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ? [X4] :
( ~ memberP(sK1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(sK3,X5)
| memberP(sK2,X5) )
& ( ~ memberP(sK2,X5)
| memberP(sK3,X5) ) )
| ~ ssItem(X5) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X4] :
( ~ memberP(sK1,X4)
& memberP(sK0,X4)
& ssItem(X4) )
=> ( ~ memberP(sK1,sK4)
& memberP(sK0,sK4)
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ? [X5] :
( ( ( memberP(X3,X5)
& ~ memberP(X2,X5) )
| ( memberP(X2,X5)
& ~ memberP(X3,X5) ) )
& ssItem(X5) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X1,X5)
| ~ memberP(X0,X5) ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X1,X5)
| ~ memberP(X0,X5) ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f148,plain,
~ memberP(sK3,sK4),
inference(definition_unfolding,[],[f133,f127]) ).
fof(f127,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f110]) ).
fof(f133,plain,
~ memberP(sK1,sK4),
inference(cnf_transformation,[],[f110]) ).
fof(f149,plain,
memberP(sK2,sK4),
inference(definition_unfolding,[],[f132,f128]) ).
fof(f128,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f110]) ).
fof(f132,plain,
memberP(sK0,sK4),
inference(cnf_transformation,[],[f110]) ).
fof(f131,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC405+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % 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
% 0.15/0.38 % Computer : n018.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sun May 19 03:18:08 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38 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/benchmark/theBenchmark.p
% 0.74/0.90 % (6616)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.74/0.90 % (6609)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 theBenchmark for (2994ds/34Mi)
% 0.74/0.90 % (6615)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 theBenchmark for (2994ds/83Mi)
% 0.74/0.90 % (6611)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.74/0.90 % (6613)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 theBenchmark for (2994ds/34Mi)
% 0.74/0.90 % (6612)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.74/0.90 % (6614)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.74/0.90 % (6610)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 theBenchmark for (2994ds/51Mi)
% 0.74/0.90 % (6614)Also succeeded, but the first one will report.
% 0.74/0.90 % (6612)First to succeed.
% 0.74/0.90 % (6609)Also succeeded, but the first one will report.
% 0.74/0.90 % (6611)Also succeeded, but the first one will report.
% 0.74/0.90 % (6612)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6608"
% 0.74/0.91 % (6612)Refutation found. Thanks to Tanya!
% 0.74/0.91 % SZS status Theorem for theBenchmark
% 0.74/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.91 % (6612)------------------------------
% 0.74/0.91 % (6612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.91 % (6612)Termination reason: Refutation
% 0.74/0.91
% 0.74/0.91 % (6612)Memory used [KB]: 1152
% 0.74/0.91 % (6612)Time elapsed: 0.005 s
% 0.74/0.91 % (6612)Instructions burned: 5 (million)
% 0.74/0.91 % (6608)Success in time 0.52 s
% 0.74/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------