TSTP Solution File: SWV168+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV168+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 : n023.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 04:02:45 EDT 2024
% Result : Theorem 0.63s 0.80s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 596 ( 53 equ)
% Maximal formula atoms : 35 ( 31 avg)
% Number of connectives : 251 ( 66 ~; 56 |; 89 &)
% ( 1 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 392 ( 392 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 53 ( 52 !; 0 ?; 8 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ1_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f279,plain,
$false,
inference(subsumption_resolution,[],[f278,f132]) ).
tff(f132,plain,
leq(n0,pv46),
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
( ( init != a_select3(q_init,pv46,pv40) )
& ( ! [X0] :
( ( init = a_select2(sigmaold_init,X0) )
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( ( init = a_select2(rhoold_init,X1) )
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( ( init = a_select2(muold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( ( init = a_select3(center_init,X3,n0) )
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ( init = a_select2(sigma_init,X4) )
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( ( init = a_select2(mu_init,X5) )
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( ( init = a_select2(rho_init,X6) )
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( ( init = a_select3(q_init,X7,X8) )
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& ( a_select2(mu_init,pv40) = init ) ),
inference(flattening,[],[f98]) ).
tff(f98,plain,
( ( init != a_select3(q_init,pv46,pv40) )
& ( ! [X0] :
( ( init = a_select2(sigmaold_init,X0) )
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( ( init = a_select2(rhoold_init,X1) )
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( ( init = a_select2(muold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( ( init = a_select3(center_init,X3,n0) )
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ( init = a_select2(sigma_init,X4) )
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( ( init = a_select2(mu_init,X5) )
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( ( init = a_select2(rho_init,X6) )
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( ( init = a_select3(q_init,X7,X8) )
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& ( a_select2(mu_init,pv40) = init ) ),
inference(ennf_transformation,[],[f94]) ).
tff(f94,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( init = a_select2(sigmaold_init,X0) ) ) )
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> ( init = a_select2(rhoold_init,X1) ) ) )
& ( gt(loopcounter,n1)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> ( init = a_select2(muold_init,X2) ) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> ( init = a_select3(center_init,X3,n0) ) )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> ( init = a_select2(sigma_init,X4) ) )
& ! [X5] :
( ( leq(X5,pred(pv40))
& leq(n0,X5) )
=> ( init = a_select2(mu_init,X5) ) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> ( init = a_select2(rho_init,X6) ) )
& ! [X7] :
( ( leq(X7,n135299)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> ( init = a_select3(q_init,X7,X8) ) ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& ( a_select2(mu_init,pv40) = init ) )
=> ( init = a_select3(q_init,pv46,pv40) ) ),
inference(rectify,[],[f54]) ).
tff(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> ( init = a_select2(sigmaold_init,X4) ) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> ( init = a_select2(rhoold_init,X28) ) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> ( init = a_select2(muold_init,X27) ) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> ( init = a_select3(center_init,X21,n0) ) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> ( init = a_select2(sigma_init,X20) ) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> ( init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> ( init = a_select2(rho_init,X3) ) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> ( init = a_select3(q_init,X13,X17) ) ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& ( a_select2(mu_init,pv40) = init ) )
=> ( init = a_select3(q_init,pv46,pv40) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> ( init = a_select2(sigmaold_init,X4) ) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> ( init = a_select2(rhoold_init,X28) ) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> ( init = a_select2(muold_init,X27) ) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> ( init = a_select3(center_init,X21,n0) ) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> ( init = a_select2(sigma_init,X20) ) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> ( init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> ( init = a_select2(rho_init,X3) ) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> ( init = a_select3(q_init,X13,X17) ) ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& ( a_select2(mu_init,pv40) = init ) )
=> ( init = a_select3(q_init,pv46,pv40) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DUQXzqFsOH/Vampire---4.8_10207',cl5_nebula_init_0016) ).
tff(f278,plain,
~ leq(n0,pv46),
inference(subsumption_resolution,[],[f277,f134]) ).
tff(f134,plain,
leq(pv46,n135299),
inference(cnf_transformation,[],[f99]) ).
tff(f277,plain,
( ~ leq(pv46,n135299)
| ~ leq(n0,pv46) ),
inference(subsumption_resolution,[],[f276,f131]) ).
tff(f131,plain,
leq(n0,pv40),
inference(cnf_transformation,[],[f99]) ).
tff(f276,plain,
( ~ leq(n0,pv40)
| ~ leq(pv46,n135299)
| ~ leq(n0,pv46) ),
inference(subsumption_resolution,[],[f275,f133]) ).
tff(f133,plain,
leq(pv40,n4),
inference(cnf_transformation,[],[f99]) ).
tff(f275,plain,
( ~ leq(pv40,n4)
| ~ leq(n0,pv40)
| ~ leq(pv46,n135299)
| ~ leq(n0,pv46) ),
inference(resolution,[],[f233,f225]) ).
tff(f225,plain,
~ sQ1_eqProxy($i,init,a_select3(q_init,pv46,pv40)),
inference(equality_proxy_replacement,[],[f143,f224]) ).
tff(f224,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ1_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).
tff(f143,plain,
init != a_select3(q_init,pv46,pv40),
inference(cnf_transformation,[],[f99]) ).
tff(f233,plain,
! [X8: $i,X7: $i] :
( sQ1_eqProxy($i,init,a_select3(q_init,X7,X8))
| ~ leq(X8,n4)
| ~ leq(n0,X8)
| ~ leq(X7,n135299)
| ~ leq(n0,X7) ),
inference(equality_proxy_replacement,[],[f135,f224]) ).
tff(f135,plain,
! [X8: $i,X7: $i] :
( ( init = a_select3(q_init,X7,X8) )
| ~ leq(X8,n4)
| ~ leq(n0,X8)
| ~ leq(X7,n135299)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 18:44:55 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.31 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.DUQXzqFsOH/Vampire---4.8_10207
% 0.57/0.79 % (10317)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.79 % (10318)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)
% 0.57/0.79 % (10319)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)
% 0.57/0.79 % (10316)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)
% 0.57/0.79 % (10320)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)
% 0.57/0.79 % (10321)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)
% 0.57/0.79 % (10315)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)
% 0.57/0.79 % (10322)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)
% 0.57/0.79 % (10315)First to succeed.
% 0.63/0.80 % (10322)Also succeeded, but the first one will report.
% 0.63/0.80 % (10317)Also succeeded, but the first one will report.
% 0.63/0.80 % (10315)Refutation found. Thanks to Tanya!
% 0.63/0.80 % SZS status Theorem for Vampire---4
% 0.63/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80 % (10315)------------------------------
% 0.63/0.80 % (10315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (10315)Termination reason: Refutation
% 0.63/0.80
% 0.63/0.80 % (10315)Memory used [KB]: 1103
% 0.63/0.80 % (10315)Time elapsed: 0.005 s
% 0.63/0.80 % (10315)Instructions burned: 7 (million)
% 0.63/0.80 % (10315)------------------------------
% 0.63/0.80 % (10315)------------------------------
% 0.63/0.80 % (10314)Success in time 0.48 s
% 0.63/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------