TSTP Solution File: SWV173+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV173+1 : TPTP v8.2.0. 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 : n022.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 : Tue May 21 05:54:18 EDT 2024
% Result : Theorem 0.56s 0.75s
% 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 : 770 ( 68 equ)
% Maximal formula atoms : 35 ( 29 avg)
% Number of connectives : 375 ( 113 ~; 100 |; 116 &)
% ( 3 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 482 ( 482 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 19 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(f268,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f263,f267]) ).
tff(f267,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f266]) ).
tff(f266,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f265,f144]) ).
tff(f144,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,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( ( init = a_select2(mu_init,X6) )
| ~ leq(X6,n4)
| ~ 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(pv10,n135299)
& leq(n0,pv10) ),
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,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( ( init = a_select2(mu_init,X6) )
| ~ leq(X6,n4)
| ~ 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(pv10,n135299)
& leq(n0,pv10) ),
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,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ( init = a_select2(mu_init,X5) )
| ~ leq(X5,n4)
| ~ 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(pv10,n135299)
& leq(n0,pv10) ),
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,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ( init = a_select2(mu_init,X5) )
| ~ leq(X5,n4)
| ~ 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(pv10,n135299)
& leq(n0,pv10) ),
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,n4)
& leq(n0,X4) )
=> ( init = a_select2(sigma_init,X4) ) )
& ! [X5] :
( ( leq(X5,n4)
& 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(pv10,n135299)
& leq(n0,pv10) )
=> ! [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,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 ) ) )
& gt(loopcounter,n1)
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [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,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 ) ) )
& gt(loopcounter,n1)
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> ( init = a_select2(rhoold_init,X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0041) ).
tff(f265,plain,
( ~ leq(sK0,n4)
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f264,f143]) ).
tff(f143,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f127]) ).
tff(f264,plain,
( ~ leq(n0,sK0)
| ~ leq(sK0,n4)
| ~ spl3_3 ),
inference(resolution,[],[f257,f216]) ).
tff(f216,plain,
~ sQ2_eqProxy($i,init,a_select2(rhoold_init,sK0)),
inference(equality_proxy_replacement,[],[f145,f215]) ).
tff(f215,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ2_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
tff(f145,plain,
init != a_select2(rhoold_init,sK0),
inference(cnf_transformation,[],[f127]) ).
tff(f257,plain,
( ! [X2: $i] :
( sQ2_eqProxy($i,init,a_select2(rhoold_init,X2))
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f256,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(f263,plain,
spl3_1,
inference(avatar_split_clause,[],[f134,f248]) ).
tff(f248,plain,
( spl3_1
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f134,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f127]) ).
tff(f258,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f218,f256,f248]) ).
tff(f218,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,[],[f141,f215]) ).
tff(f141,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
% 0.00/0.12 % Problem : SWV173+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.13/0.14 % 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 : n022.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 : Sun May 19 08:14:23 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/benchmark/theBenchmark.p
% 0.56/0.74 % (7096)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (7092)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (7094)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (7095)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (7093)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.74 % (7097)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74 % (7098)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74 % (7099)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.75 % (7099)Also succeeded, but the first one will report.
% 0.56/0.75 % (7092)First to succeed.
% 0.56/0.75 % (7092)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7091"
% 0.56/0.75 % (7094)Also succeeded, but the first one will report.
% 0.56/0.75 % (7092)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75 % (7092)------------------------------
% 0.56/0.75 % (7092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (7092)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (7092)Memory used [KB]: 1110
% 0.56/0.75 % (7092)Time elapsed: 0.006 s
% 0.56/0.75 % (7092)Instructions burned: 8 (million)
% 0.56/0.75 % (7091)Success in time 0.388 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------