TSTP Solution File: SWV046+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV046+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 10:27:49 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 25 unt; 0 def)
% Number of atoms : 103 ( 49 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 90 ( 30 ~; 22 |; 26 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f282,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f247,f248,f249,f250,f251,f280]) ).
fof(f280,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f278,f159]) ).
fof(f159,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/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032',sum_plus_base) ).
fof(f278,plain,
( n0 != sum(n0,tptp_minus_1,times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))
| spl1_1 ),
inference(backward_demodulation,[],[f263,f272]) ).
fof(f272,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f217,f189]) ).
fof(f189,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032',succ_tptp_minus_1) ).
fof(f217,plain,
! [X0] : minus(succ(X0),n1) = X0,
inference(definition_unfolding,[],[f213,f171]) ).
fof(f171,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032',pred_minus_1) ).
fof(f213,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032',pred_succ) ).
fof(f263,plain,
( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),divide(pv80,pv44)),times(minus(a_select2(x,pv83),divide(pv80,pv44)),a_select3(q,pv83,pv35))))
| spl1_1 ),
inference(forward_demodulation,[],[f224,f156]) ).
fof(f156,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032',sel2_update_1) ).
fof(f224,plain,
( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| spl1_1 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl1_1
<=> n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f251,plain,
spl1_5,
inference(avatar_split_clause,[],[f151,f238]) ).
fof(f238,plain,
( spl1_5
<=> true ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f151,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032',ttrue) ).
fof(f250,plain,
spl1_2,
inference(avatar_split_clause,[],[f138,f226]) ).
fof(f226,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 = pv44 )
| ( ( ~ 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(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) )
& n0 != pv44 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
( ( ( ~ true
& n0 = pv44 )
| ( ( ~ 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(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) )
& n0 != pv44 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& 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)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv44
=> true )
& ( n0 != pv44
=> ( 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(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv44
=> true )
& ( n0 != pv44
=> ( 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(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032',cl5_nebula_norm_0010) ).
fof(f249,plain,
spl1_3,
inference(avatar_split_clause,[],[f140,f230]) ).
fof(f230,plain,
( spl1_3
<=> leq(n0,pv35) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f140,plain,
leq(n0,pv35),
inference(cnf_transformation,[],[f102]) ).
fof(f248,plain,
spl1_4,
inference(avatar_split_clause,[],[f141,f234]) ).
fof(f234,plain,
( spl1_4
<=> leq(pv35,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f141,plain,
leq(pv35,minus(n5,n1)),
inference(cnf_transformation,[],[f102]) ).
fof(f247,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_4
| spl1_6 ),
inference(avatar_split_clause,[],[f143,f243,f234,f230,f226,f222]) ).
fof(f243,plain,
( spl1_6
<=> n0 = pv44 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f143,plain,
( n0 = pv44
| ~ 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(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))) ),
inference(cnf_transformation,[],[f102]) ).
fof(f246,plain,
( ~ spl1_6
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f144,f238,f243]) ).
fof(f144,plain,
( ~ true
| n0 != pv44 ),
inference(cnf_transformation,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV046+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:55:23 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.emCbyFIIRf/Vampire---4.8_27032
% 0.60/0.76 % (27147)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)
% 0.60/0.76 % (27140)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)
% 0.60/0.76 % (27142)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (27144)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)
% 0.60/0.76 % (27143)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)
% 0.60/0.76 % (27145)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)
% 0.60/0.76 % (27141)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)
% 0.60/0.76 % (27146)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)
% 0.60/0.77 % (27142)First to succeed.
% 0.60/0.77 % (27142)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27139"
% 0.60/0.77 % (27142)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (27142)------------------------------
% 0.60/0.77 % (27142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (27142)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (27142)Memory used [KB]: 1178
% 0.60/0.77 % (27142)Time elapsed: 0.008 s
% 0.60/0.77 % (27142)Instructions burned: 11 (million)
% 0.60/0.77 % (27139)Success in time 0.392 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------