TSTP Solution File: SWV182+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV182+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 : n015.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 10:28:20 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 244 ( 54 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 301 ( 94 ~; 88 |; 81 &)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-3 aty)
% Number of variables : 72 ( 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f274,plain,
$false,
inference(avatar_sat_refutation,[],[f158,f231,f273]) ).
fof(f273,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f262,f122]) ).
fof(f122,plain,
init != a_select2(rho_init,sK0),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( init != a_select2(rho_init,sK0)
& leq(sK0,n4)
& leq(n0,sK0)
& ( ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f110,f111]) ).
fof(f111,plain,
( ? [X0] :
( init != a_select2(rho_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(rho_init,sK0)
& leq(sK0,n4)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X0] :
( init != a_select2(rho_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
( ? [X6] :
( init != a_select2(rho_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
( ? [X6] :
( init != a_select2(rho_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n0)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigma_init,X0) ) )
& ( gt(loopcounter,n0)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rho_init,X1) ) )
& ( gt(loopcounter,n0)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(q_init,X4,X5) ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(rho_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(rho_init,X27) ) ),
file('/export/starexec/sandbox2/tmp/tmp.oO5YSCr85T/Vampire---4.8_32099',cl5_nebula_init_0086) ).
fof(f262,plain,
( init = a_select2(rho_init,sK0)
| ~ spl1_3 ),
inference(unit_resulting_resolution,[],[f121,f120,f157]) ).
fof(f157,plain,
( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl1_3
<=> ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f120,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f112]) ).
fof(f121,plain,
leq(sK0,n4),
inference(cnf_transformation,[],[f112]) ).
fof(f231,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f222,f133]) ).
fof(f133,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/tmp/tmp.oO5YSCr85T/Vampire---4.8_32099',gt_1_0) ).
fof(f222,plain,
( ~ gt(n1,n0)
| spl1_1 ),
inference(backward_demodulation,[],[f150,f219]) ).
fof(f219,plain,
( n1 = loopcounter
| spl1_1 ),
inference(unit_resulting_resolution,[],[f114,f182,f127]) ).
fof(f127,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oO5YSCr85T/Vampire---4.8_32099',leq_gt2) ).
fof(f182,plain,
( ~ gt(loopcounter,n1)
| spl1_1 ),
inference(unit_resulting_resolution,[],[f133,f150,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.oO5YSCr85T/Vampire---4.8_32099',transitivity_gt) ).
fof(f114,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f112]) ).
fof(f150,plain,
( ~ gt(loopcounter,n0)
| spl1_1 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl1_1
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f158,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f118,f156,f148]) ).
fof(f118,plain,
! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n0) ),
inference(cnf_transformation,[],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:55:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.oO5YSCr85T/Vampire---4.8_32099
% 0.61/0.77 % (32288)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)
% 0.61/0.77 % (32285)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)
% 0.61/0.77 % (32281)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)
% 0.61/0.77 % (32284)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)
% 0.61/0.77 % (32282)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)
% 0.61/0.77 % (32283)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77 % (32286)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)
% 0.61/0.77 % (32287)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)
% 0.61/0.78 % (32284)First to succeed.
% 0.61/0.78 % (32283)Also succeeded, but the first one will report.
% 0.61/0.78 % (32284)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32245"
% 0.61/0.78 % (32284)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (32284)------------------------------
% 0.61/0.78 % (32284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (32284)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (32284)Memory used [KB]: 1168
% 0.61/0.78 % (32284)Time elapsed: 0.007 s
% 0.61/0.78 % (32284)Instructions burned: 9 (million)
% 0.61/0.78 % (32245)Success in time 0.42 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------