TSTP Solution File: SWC276+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC276+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 04:01:02 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 240 ( 88 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 262 ( 64 ~; 60 |; 116 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 57 ( 22 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,plain,
$false,
inference(avatar_sat_refutation,[],[f219,f224,f237,f257]) ).
fof(f257,plain,
( ~ spl16_3
| ~ spl16_4 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl16_3
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f255,f197]) ).
fof(f197,plain,
~ totalorderedP(sK2),
inference(definition_unfolding,[],[f152,f151]) ).
fof(f151,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ( nil = sK2
& nil = sK3 )
| ( memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) )
& ~ totalorderedP(sK0)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f99,f119,f118,f117,f116,f115]) ).
fof(f115,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(sK0)
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(sK0)
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(sK0)
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(sK0)
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ~ totalorderedP(sK0)
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X3] :
( ( ( nil = sK2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ~ totalorderedP(sK0)
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( ( nil = sK2
& nil = sK3 )
| ? [X4] :
( memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ~ totalorderedP(sK0)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X4] :
( memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) )
=> ( memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| totalorderedP(X0)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| totalorderedP(X0)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.erFNUGP6E8/Vampire---4.8_27671',co1) ).
fof(f152,plain,
~ totalorderedP(sK0),
inference(cnf_transformation,[],[f120]) ).
fof(f255,plain,
( totalorderedP(sK2)
| ~ spl16_3
| ~ spl16_4 ),
inference(forward_demodulation,[],[f252,f218]) ).
fof(f218,plain,
( sK2 = cons(sK4,nil)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl16_3
<=> sK2 = cons(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f252,plain,
( totalorderedP(cons(sK4,nil))
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f223,f232]) ).
fof(f232,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f202,f170]) ).
fof(f170,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.erFNUGP6E8/Vampire---4.8_27671',ax17) ).
fof(f202,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( ( totalorderedP(cons(X0,X1))
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( ( totalorderedP(cons(X0,X1))
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.erFNUGP6E8/Vampire---4.8_27671',ax67) ).
fof(f223,plain,
( ssItem(sK4)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl16_4
<=> ssItem(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f237,plain,
~ spl16_2,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f235,f187]) ).
fof(f187,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.erFNUGP6E8/Vampire---4.8_27671',ax66) ).
fof(f235,plain,
( ~ totalorderedP(nil)
| ~ spl16_2 ),
inference(backward_demodulation,[],[f197,f213]) ).
fof(f213,plain,
( nil = sK2
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl16_2
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f224,plain,
( spl16_4
| spl16_2 ),
inference(avatar_split_clause,[],[f156,f211,f221]) ).
fof(f156,plain,
( nil = sK2
| ssItem(sK4) ),
inference(cnf_transformation,[],[f120]) ).
fof(f219,plain,
( spl16_3
| spl16_2 ),
inference(avatar_split_clause,[],[f157,f211,f216]) ).
fof(f157,plain,
( nil = sK2
| sK2 = cons(sK4,nil) ),
inference(cnf_transformation,[],[f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC276+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % 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
% 0.15/0.35 % Computer : n025.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 : Tue Apr 30 18:33:26 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.erFNUGP6E8/Vampire---4.8_27671
% 0.59/0.75 % (27931)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)
% 0.59/0.75 % (27925)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)
% 0.59/0.75 % (27927)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (27926)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)
% 0.59/0.75 % (27928)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)
% 0.59/0.75 % (27929)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)
% 0.59/0.75 % (27930)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)
% 0.59/0.75 % (27928)First to succeed.
% 0.59/0.75 % (27931)Also succeeded, but the first one will report.
% 0.59/0.76 % (27928)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (27928)------------------------------
% 0.59/0.76 % (27928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (27928)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (27928)Memory used [KB]: 1170
% 0.59/0.76 % (27928)Time elapsed: 0.006 s
% 0.59/0.76 % (27928)Instructions burned: 8 (million)
% 0.59/0.76 % (27928)------------------------------
% 0.59/0.76 % (27928)------------------------------
% 0.59/0.76 % (27921)Success in time 0.389 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------