TSTP Solution File: SWV048+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV048+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 : n002.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 10:27:50 EDT 2024
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 22 unt; 0 def)
% Number of atoms : 94 ( 41 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 84 ( 29 ~; 21 |; 22 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f246,f247,f248,f249,f250,f277]) ).
fof(f277,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f276,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f275,f158]) ).
fof(f158,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/tmp/tmp.YeyQPvndGl/Vampire---4.8_9665',sum_plus_base) ).
fof(f275,plain,
( n0 != sum(n0,tptp_minus_1,times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| spl1_1 ),
inference(backward_demodulation,[],[f223,f270]) ).
fof(f270,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f216,f188]) ).
fof(f188,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.YeyQPvndGl/Vampire---4.8_9665',succ_tptp_minus_1) ).
fof(f216,plain,
! [X0] : minus(succ(X0),n1) = X0,
inference(definition_unfolding,[],[f212,f170]) ).
fof(f170,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.YeyQPvndGl/Vampire---4.8_9665',pred_minus_1) ).
fof(f212,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.YeyQPvndGl/Vampire---4.8_9665',pred_succ) ).
fof(f223,plain,
( n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| spl1_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl1_1
<=> n0 = sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f250,plain,
spl1_5,
inference(avatar_split_clause,[],[f150,f237]) ).
fof(f237,plain,
( spl1_5
<=> true ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f150,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/tmp/tmp.YeyQPvndGl/Vampire---4.8_9665',ttrue) ).
fof(f249,plain,
spl1_2,
inference(avatar_split_clause,[],[f138,f225]) ).
fof(f225,plain,
( spl1_2
<=> pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f138,plain,
pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( ( ~ true
& n0 = pv78 )
| ( ( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) )
& n0 != pv78 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
( ( ( ~ true
& n0 = pv78 )
| ( ( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) )
& n0 != pv78 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YeyQPvndGl/Vampire---4.8_9665',cl5_nebula_norm_0016) ).
fof(f248,plain,
spl1_3,
inference(avatar_split_clause,[],[f139,f229]) ).
fof(f229,plain,
( spl1_3
<=> leq(n0,pv35) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f139,plain,
leq(n0,pv35),
inference(cnf_transformation,[],[f102]) ).
fof(f247,plain,
spl1_4,
inference(avatar_split_clause,[],[f140,f233]) ).
fof(f233,plain,
( spl1_4
<=> leq(pv35,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f140,plain,
leq(pv35,minus(n5,n1)),
inference(cnf_transformation,[],[f102]) ).
fof(f246,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_4
| spl1_6 ),
inference(avatar_split_clause,[],[f142,f242,f233,f229,f225,f221]) ).
fof(f242,plain,
( spl1_6
<=> n0 = pv78 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f142,plain,
( n0 = pv78
| ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
inference(cnf_transformation,[],[f102]) ).
fof(f245,plain,
( ~ spl1_6
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f143,f237,f242]) ).
fof(f143,plain,
( ~ true
| n0 != pv78 ),
inference(cnf_transformation,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV048+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.15 % 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
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:16:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.YeyQPvndGl/Vampire---4.8_9665
% 0.61/0.78 % (9857)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 (2995ds/34Mi)
% 0.61/0.78 % (9858)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 (2995ds/51Mi)
% 0.61/0.78 % (9859)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78 % (9860)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.78 % (9861)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 (2995ds/34Mi)
% 0.61/0.78 % (9863)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 (2995ds/83Mi)
% 0.61/0.78 % (9862)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.78 % (9864)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 (2995ds/56Mi)
% 0.61/0.79 % (9859)First to succeed.
% 0.61/0.79 % (9859)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9819"
% 0.61/0.79 % (9859)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Theorem for Vampire---4
% 0.61/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (9859)------------------------------
% 0.61/0.79 % (9859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (9859)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (9859)Memory used [KB]: 1175
% 0.61/0.79 % (9859)Time elapsed: 0.008 s
% 0.61/0.79 % (9859)Instructions burned: 10 (million)
% 0.61/0.79 % (9819)Success in time 0.425 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------