TSTP Solution File: SWV180+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV180+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 : n003.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 10:28:19 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 633 ( 63 equ)
% Maximal formula atoms : 41 ( 31 avg)
% Number of connectives : 291 ( 76 ~; 67 |; 98 &)
% ( 2 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 398 ( 398 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 17 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 68 ( 67 !; 0 ?; 7 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ1_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f270,plain,
$false,
inference(avatar_sat_refutation,[],[f265,f269]) ).
tff(f269,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f268]) ).
tff(f268,plain,
( $false
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f267,f130]) ).
tff(f130,plain,
leq(pv86,n4),
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
( ( init != a_select2(muold_init,pv86) )
& ! [X0] :
( ( init = a_select2(sigmaold_init,X0) )
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( ( init = a_select2(rhoold_init,X1) )
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( ( init = a_select2(muold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( ( init = a_select2(sigmaold_init,X3) )
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( ( init = a_select2(rhoold_init,X4) )
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( ( init = a_select2(muold_init,X5) )
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( ( init = a_select3(center_init,X6,n0) )
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ( init = a_select2(sigma_init,X7) )
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ( init = a_select2(mu_init,X8) )
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( ( init = a_select2(rho_init,X9) )
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( ( init = a_select3(q_init,X10,X11) )
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& leq(pv86,n4)
& leq(n0,pv86) ),
inference(flattening,[],[f98]) ).
tff(f98,plain,
( ( init != a_select2(muold_init,pv86) )
& ! [X0] :
( ( init = a_select2(sigmaold_init,X0) )
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( ( init = a_select2(rhoold_init,X1) )
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( ( init = a_select2(muold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( ( init = a_select2(sigmaold_init,X3) )
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( ( init = a_select2(rhoold_init,X4) )
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( ( init = a_select2(muold_init,X5) )
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( ( init = a_select3(center_init,X6,n0) )
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ( init = a_select2(sigma_init,X7) )
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ( init = a_select2(mu_init,X8) )
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( ( init = a_select2(rho_init,X9) )
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( ( init = a_select3(q_init,X10,X11) )
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& leq(pv86,n4)
& leq(n0,pv86) ),
inference(ennf_transformation,[],[f94]) ).
tff(f94,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( init = a_select2(sigmaold_init,X0) ) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> ( init = a_select2(rhoold_init,X1) ) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> ( init = a_select2(muold_init,X2) ) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> ( init = a_select2(sigmaold_init,X3) ) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> ( init = a_select2(rhoold_init,X4) ) ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> ( init = a_select2(muold_init,X5) ) ) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> ( init = a_select3(center_init,X6,n0) ) )
& ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> ( init = a_select2(sigma_init,X7) ) )
& ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> ( init = a_select2(mu_init,X8) ) )
& ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> ( init = a_select2(rho_init,X9) ) )
& ! [X10] :
( ( leq(X10,n135299)
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> ( init = a_select3(q_init,X10,X11) ) ) )
& leq(pv86,n4)
& leq(n0,pv86) )
=> ( init = a_select2(muold_init,pv86) ) ),
inference(rectify,[],[f54]) ).
tff(f54,negated_conjecture,
~ ( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> ( init = a_select2(sigmaold_init,X5) ) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> ( init = a_select2(rhoold_init,X15) ) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> ( init = a_select2(muold_init,X10) ) )
& ( 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,n4)
& leq(n0,X20) )
=> ( init = a_select2(sigma_init,X20) ) )
& ! [X19] :
( ( leq(X19,n4)
& 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) )
=> ( a_select3(q_init,X13,X17) = init ) ) )
& leq(pv86,n4)
& leq(n0,pv86) )
=> ( init = a_select2(muold_init,pv86) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> ( init = a_select2(sigmaold_init,X5) ) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> ( init = a_select2(rhoold_init,X15) ) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> ( init = a_select2(muold_init,X10) ) )
& ( 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,n4)
& leq(n0,X20) )
=> ( init = a_select2(sigma_init,X20) ) )
& ! [X19] :
( ( leq(X19,n4)
& 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) )
=> ( a_select3(q_init,X13,X17) = init ) ) )
& leq(pv86,n4)
& leq(n0,pv86) )
=> ( init = a_select2(muold_init,pv86) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i8Cx7dK4iH/Vampire---4.8_23673',cl5_nebula_init_0076) ).
tff(f267,plain,
( ~ leq(pv86,n4)
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f266,f129]) ).
tff(f129,plain,
leq(n0,pv86),
inference(cnf_transformation,[],[f99]) ).
tff(f266,plain,
( ~ leq(n0,pv86)
| ~ leq(pv86,n4)
| ~ spl2_4 ),
inference(resolution,[],[f261,f213]) ).
tff(f213,plain,
~ sQ1_eqProxy($i,init,a_select2(muold_init,pv86)),
inference(equality_proxy_replacement,[],[f142,f212]) ).
tff(f212,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ1_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).
tff(f142,plain,
init != a_select2(muold_init,pv86),
inference(cnf_transformation,[],[f99]) ).
tff(f261,plain,
( ! [X5: $i] :
( sQ1_eqProxy($i,init,a_select2(muold_init,X5))
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f260]) ).
tff(f260,plain,
( spl2_4
<=> ! [X5] :
( sQ1_eqProxy($i,init,a_select2(muold_init,X5))
| ~ leq(n0,X5)
| ~ leq(X5,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f265,plain,
spl2_4,
inference(avatar_split_clause,[],[f216,f260]) ).
tff(f216,plain,
! [X2: $i] :
( sQ1_eqProxy($i,init,a_select2(muold_init,X2))
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f139,f212]) ).
tff(f139,plain,
! [X2: $i] :
( ( init = a_select2(muold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV180+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n003.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 21:01:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.i8Cx7dK4iH/Vampire---4.8_23673
% 0.55/0.74 % (23827)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)
% 0.55/0.74 % (23829)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (23832)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)
% 0.55/0.74 % (23830)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)
% 0.55/0.74 % (23831)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)
% 0.55/0.74 % (23833)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)
% 0.55/0.74 % (23828)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)
% 0.55/0.74 % (23834)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)
% 0.55/0.75 % (23827)First to succeed.
% 0.55/0.75 % (23834)Also succeeded, but the first one will report.
% 0.55/0.75 % (23827)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23826"
% 0.55/0.75 % (23829)Also succeeded, but the first one will report.
% 0.55/0.75 % (23827)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (23827)------------------------------
% 0.55/0.75 % (23827)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (23827)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (23827)Memory used [KB]: 1109
% 0.55/0.75 % (23827)Time elapsed: 0.004 s
% 0.55/0.75 % (23827)Instructions burned: 7 (million)
% 0.55/0.75 % (23826)Success in time 0.39 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------