TSTP Solution File: SWV186+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV186+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.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 : Wed Aug 31 18:55:45 EDT 2022
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 226 ( 69 equ)
% Maximal formula atoms : 30 ( 15 avg)
% Number of connectives : 295 ( 84 ~; 75 |; 102 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 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(f458,plain,
$false,
inference(subsumption_resolution,[],[f457,f381]) ).
fof(f381,plain,
init != a_select2(muold_init,sK30),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
& ! [X1] :
( ~ leq(X1,n4)
| init = a_select2(muold_init,X1)
| ~ leq(n0,X1) )
& ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(mu_init,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( ~ leq(n0,X3)
| ! [X4] :
( ~ leq(X4,n4)
| ~ leq(n0,X4)
| init = a_select3(q_init,X3,X4) )
| ~ leq(X3,n135299) )
& ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& gt(loopcounter,n1)
& ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select3(center_init,X6,n0) )
& ! [X7] :
( ~ leq(n0,X7)
| init = a_select2(rho_init,X7)
| ~ leq(X7,n4) )
& ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(sigmaold_init,X8)
| ~ leq(X8,n4) )
& leq(n0,sK30)
& leq(sK30,n4)
& init != a_select2(muold_init,sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f245,f246]) ).
fof(f246,plain,
( ? [X9] :
( leq(n0,X9)
& leq(X9,n4)
& init != a_select2(muold_init,X9) )
=> ( leq(n0,sK30)
& leq(sK30,n4)
& init != a_select2(muold_init,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
& ! [X1] :
( ~ leq(X1,n4)
| init = a_select2(muold_init,X1)
| ~ leq(n0,X1) )
& ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(mu_init,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( ~ leq(n0,X3)
| ! [X4] :
( ~ leq(X4,n4)
| ~ leq(n0,X4)
| init = a_select3(q_init,X3,X4) )
| ~ leq(X3,n135299) )
& ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& gt(loopcounter,n1)
& ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select3(center_init,X6,n0) )
& ! [X7] :
( ~ leq(n0,X7)
| init = a_select2(rho_init,X7)
| ~ leq(X7,n4) )
& ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(sigmaold_init,X8)
| ~ leq(X8,n4) )
& ? [X9] :
( leq(n0,X9)
& leq(X9,n4)
& init != a_select2(muold_init,X9) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
( ! [X3] :
( init = a_select2(sigma_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X1] :
( ~ leq(X1,n4)
| init = a_select2(muold_init,X1)
| ~ leq(n0,X1) )
& ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(mu_init,X0)
| ~ leq(X0,n4) )
& ! [X4] :
( ~ leq(n0,X4)
| ! [X5] :
( ~ leq(X5,n4)
| ~ leq(n0,X5)
| init = a_select3(q_init,X4,X5) )
| ~ leq(X4,n135299) )
& ! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& ! [X2] :
( ~ leq(X2,n4)
| ~ leq(n0,X2)
| init = a_select3(center_init,X2,n0) )
& ! [X7] :
( ~ leq(n0,X7)
| init = a_select2(rho_init,X7)
| ~ leq(X7,n4) )
& ! [X6] :
( ~ leq(n0,X6)
| init = a_select2(sigmaold_init,X6)
| ~ leq(X6,n4) )
& ? [X9] :
( leq(n0,X9)
& leq(X9,n4)
& init != a_select2(muold_init,X9) ) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& ! [X6] :
( init = a_select2(sigmaold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( init = a_select2(sigma_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X0] :
( init = a_select2(mu_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
& gt(loopcounter,n1)
& ! [X8] :
( init = a_select2(rhoold_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
~ ( ( ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(sigmaold_init,X6) )
& ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select3(q_init,X4,X5) ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select3(center_init,X2,n0) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(sigma_init,X3) )
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select2(mu_init,X0) )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> init = a_select2(rho_init,X7) )
& gt(loopcounter,n1)
& ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select2(rhoold_init,X8) )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select2(muold_init,X1) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> init = a_select2(muold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(mu_init,X27) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(muold_init,X19) )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(sigmaold_init,X21) )
& gt(loopcounter,n1)
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rho_init,X28) )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n4) )
=> init = a_select2(rhoold_init,X20) ) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(mu_init,X27) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(muold_init,X19) )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(sigmaold_init,X21) )
& gt(loopcounter,n1)
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rho_init,X28) )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n4) )
=> init = a_select2(rhoold_init,X20) ) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0106) ).
fof(f457,plain,
init = a_select2(muold_init,sK30),
inference(subsumption_resolution,[],[f456,f383]) ).
fof(f383,plain,
leq(n0,sK30),
inference(cnf_transformation,[],[f247]) ).
fof(f456,plain,
( ~ leq(n0,sK30)
| init = a_select2(muold_init,sK30) ),
inference(resolution,[],[f391,f382]) ).
fof(f382,plain,
leq(sK30,n4),
inference(cnf_transformation,[],[f247]) ).
fof(f391,plain,
! [X1] :
( ~ leq(X1,n4)
| ~ leq(n0,X1)
| init = a_select2(muold_init,X1) ),
inference(cnf_transformation,[],[f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV186+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 19:07:49 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.51 % (32707)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.51 % (32699)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.51 % (32710)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.52 % (32702)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.52 % (32694)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53 % (32710)First to succeed.
% 0.22/0.53 % (32715)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.53 % (32710)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (32710)------------------------------
% 0.22/0.53 % (32710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (32710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (32710)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (32710)Memory used [KB]: 1279
% 0.22/0.53 % (32710)Time elapsed: 0.061 s
% 0.22/0.53 % (32710)Instructions burned: 12 (million)
% 0.22/0.53 % (32710)------------------------------
% 0.22/0.53 % (32710)------------------------------
% 0.22/0.53 % (32687)Success in time 0.169 s
%------------------------------------------------------------------------------