TSTP Solution File: SWV186+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n021.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 : Thu Aug 31 23:08:03 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 229 ( 68 equ)
% Maximal formula atoms : 30 ( 14 avg)
% Number of connectives : 302 ( 89 ~; 77 |; 102 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 71 (; 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f472,plain,
$false,
inference(subsumption_resolution,[],[f471,f236]) ).
fof(f236,plain,
leq(n0,sK4),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( init != a_select2(muold_init,sK4)
& leq(sK4,n4)
& leq(n0,sK4)
& ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ 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) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f177,f178]) ).
fof(f178,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(muold_init,sK4)
& leq(sK4,n4)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ 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) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ 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) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ 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) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigma_init,X0) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rho_init,X1) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(sigmaold_init,X3) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(rhoold_init,X4) )
& ! [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,n135299)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select3(q_init,X7,X8) ) )
& gt(loopcounter,n1) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(muold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rho_init,X28) )
& ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(mu_init,X27) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigmaold_init,X21) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_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 ) )
& gt(loopcounter,n1) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rho_init,X28) )
& ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(mu_init,X27) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigmaold_init,X21) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_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 ) )
& gt(loopcounter,n1) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
file('/export/starexec/sandbox2/tmp/tmp.a5OM5Ee2tC/Vampire---4.8_13358',cl5_nebula_init_0106) ).
fof(f471,plain,
~ leq(n0,sK4),
inference(subsumption_resolution,[],[f470,f237]) ).
fof(f237,plain,
leq(sK4,n4),
inference(cnf_transformation,[],[f179]) ).
fof(f470,plain,
( ~ leq(sK4,n4)
| ~ leq(n0,sK4) ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f468,plain,
( init != init
| ~ leq(sK4,n4)
| ~ leq(n0,sK4) ),
inference(superposition,[],[f238,f230]) ).
fof(f230,plain,
! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f179]) ).
fof(f238,plain,
init != a_select2(muold_init,sK4),
inference(cnf_transformation,[],[f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 03:05:14 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.a5OM5Ee2tC/Vampire---4.8_13358
% 0.15/0.37 % (13484)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (13488)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.44 % (13487)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.44 % (13489)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.44 % (13490)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.22/0.44 % (13486)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.44 % (13491)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.44 % (13485)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.44 % (13491)First to succeed.
% 0.22/0.45 % (13485)Refutation not found, incomplete strategy% (13485)------------------------------
% 0.22/0.45 % (13485)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (13485)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (13485)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45 % (13485)Memory used [KB]: 5884
% 0.22/0.45 % (13485)Time elapsed: 0.010 s
% 0.22/0.45 % (13485)------------------------------
% 0.22/0.45 % (13485)------------------------------
% 0.22/0.45 % (13491)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (13491)------------------------------
% 0.22/0.45 % (13491)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (13491)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (13491)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (13491)Memory used [KB]: 5884
% 0.22/0.45 % (13491)Time elapsed: 0.010 s
% 0.22/0.45 % (13491)------------------------------
% 0.22/0.45 % (13491)------------------------------
% 0.22/0.45 % (13484)Success in time 0.072 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------