TSTP Solution File: SWV177+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV177+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 : n017.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 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 826 ( 68 equ)
% Maximal formula atoms : 37 ( 31 avg)
% Number of connectives : 389 ( 113 ~; 100 |; 130 &)
% ( 3 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 524 ( 524 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 20 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 78 ( 73 !; 4 ?; 7 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ2_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f284,plain,
$false,
inference(avatar_sat_refutation,[],[f274,f279,f283]) ).
tff(f283,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f282]) ).
tff(f282,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f281,f147]) ).
tff(f147,plain,
leq(sK0,n4),
inference(cnf_transformation,[],[f127]) ).
tff(f127,plain,
( ( init != a_select2(rhoold_init,sK0) )
& leq(sK0,n4)
& leq(n0,sK0)
& ( ! [X1] :
( ( init = a_select2(sigmaold_init,X1) )
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( ( init = a_select2(rhoold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( ( init = a_select2(muold_init,X3) )
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( ( init = a_select3(center_init,X4,n0) )
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ( init = a_select2(sigma_init,X5) )
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( ( init = a_select2(mu_init,X6) )
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( ( init = a_select2(rho_init,X7) )
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( ( init = a_select3(q_init,X8,X9) )
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv45,n135299)
& leq(pv40,n4)
& leq(n0,pv45)
& leq(n0,pv40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f125,f126]) ).
tff(f126,plain,
( ? [X0] :
( ( init != a_select2(rhoold_init,X0) )
& leq(X0,n4)
& leq(n0,X0) )
=> ( ( init != a_select2(rhoold_init,sK0) )
& leq(sK0,n4)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f125,plain,
( ? [X0] :
( ( init != a_select2(rhoold_init,X0) )
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( ( init = a_select2(sigmaold_init,X1) )
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( ( init = a_select2(rhoold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( ( init = a_select2(muold_init,X3) )
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( ( init = a_select3(center_init,X4,n0) )
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ( init = a_select2(sigma_init,X5) )
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( ( init = a_select2(mu_init,X6) )
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( ( init = a_select2(rho_init,X7) )
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( ( init = a_select3(q_init,X8,X9) )
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv45,n135299)
& leq(pv40,n4)
& leq(n0,pv45)
& leq(n0,pv40) ),
inference(rectify,[],[f99]) ).
tff(f99,plain,
( ? [X9] :
( ( init != a_select2(rhoold_init,X9) )
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [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) )
& gt(loopcounter,n1)
& leq(pv45,n135299)
& leq(pv40,n4)
& leq(n0,pv45)
& leq(n0,pv40) ),
inference(flattening,[],[f98]) ).
tff(f98,plain,
( ? [X9] :
( ( init != a_select2(rhoold_init,X9) )
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [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) )
& gt(loopcounter,n1)
& leq(pv45,n135299)
& leq(pv40,n4)
& leq(n0,pv45)
& leq(n0,pv40) ),
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) ) ) )
& gt(loopcounter,n1)
& leq(pv45,n135299)
& leq(pv40,n4)
& leq(n0,pv45)
& leq(n0,pv40) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> ( init = a_select2(rhoold_init,X9) ) ) ),
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) )
=> ( a_select3(q_init,X13,X17) = init ) ) )
& gt(loopcounter,n1)
& leq(pv45,n135299)
& leq(pv40,n4)
& leq(n0,pv45)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> ( init = a_select2(rhoold_init,X10) ) ) ),
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) )
=> ( a_select3(q_init,X13,X17) = init ) ) )
& gt(loopcounter,n1)
& leq(pv45,n135299)
& leq(pv40,n4)
& leq(n0,pv45)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> ( init = a_select2(rhoold_init,X10) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.roEpJPtXLi/Vampire---4.8_13168',cl5_nebula_init_0061) ).
tff(f281,plain,
( ~ leq(sK0,n4)
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f280,f146]) ).
tff(f146,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f127]) ).
tff(f280,plain,
( ~ leq(n0,sK0)
| ~ leq(sK0,n4)
| ~ spl3_3 ),
inference(resolution,[],[f273,f230]) ).
tff(f230,plain,
~ sQ2_eqProxy($i,init,a_select2(rhoold_init,sK0)),
inference(equality_proxy_replacement,[],[f148,f229]) ).
tff(f229,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ2_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
tff(f148,plain,
init != a_select2(rhoold_init,sK0),
inference(cnf_transformation,[],[f127]) ).
tff(f273,plain,
( ! [X2: $i] :
( sQ2_eqProxy($i,init,a_select2(rhoold_init,X2))
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f272,plain,
( spl3_3
<=> ! [X2] :
( sQ2_eqProxy($i,init,a_select2(rhoold_init,X2))
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f279,plain,
spl3_1,
inference(avatar_split_clause,[],[f137,f264]) ).
tff(f264,plain,
( spl3_1
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f137,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f127]) ).
tff(f274,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f232,f272,f264]) ).
tff(f232,plain,
! [X2: $i] :
( sQ2_eqProxy($i,init,a_select2(rhoold_init,X2))
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f144,f229]) ).
tff(f144,plain,
! [X2: $i] :
( ( init = a_select2(rhoold_init,X2) )
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV177+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.14 % 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 : n017.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 21:10:38 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.roEpJPtXLi/Vampire---4.8_13168
% 0.56/0.75 % (13493)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)
% 0.56/0.75 % (13495)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (13497)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)
% 0.56/0.75 % (13496)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)
% 0.56/0.75 % (13494)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)
% 0.56/0.75 % (13498)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)
% 0.56/0.75 % (13499)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)
% 0.56/0.75 % (13493)First to succeed.
% 0.56/0.75 % (13500)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)
% 0.56/0.76 % (13493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13331"
% 0.56/0.76 % (13495)Also succeeded, but the first one will report.
% 0.56/0.76 % (13493)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (13493)------------------------------
% 0.56/0.76 % (13493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (13493)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (13493)Memory used [KB]: 1105
% 0.56/0.76 % (13493)Time elapsed: 0.006 s
% 0.56/0.76 % (13493)Instructions burned: 8 (million)
% 0.56/0.76 % (13331)Success in time 0.395 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------