TSTP Solution File: SWV168+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV168+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 : n011.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 18:55:42 EDT 2022
% Result : Theorem 1.50s 0.56s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 234 ( 69 equ)
% Maximal formula atoms : 35 ( 11 avg)
% Number of connectives : 294 ( 80 ~; 73 |; 102 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f447,plain,
$false,
inference(subsumption_resolution,[],[f446,f419]) ).
fof(f419,plain,
init != sF33,
inference(definition_folding,[],[f295,f418]) ).
fof(f418,plain,
a_select3(q_init,pv46,pv40) = sF33,
introduced(function_definition,[]) ).
fof(f295,plain,
init != a_select3(q_init,pv46,pv40),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ( ! [X0] :
( ~ leq(X0,n4)
| init = a_select2(sigmaold_init,X0)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& leq(n0,pv46)
& ! [X1] :
( init = a_select3(center_init,X1,n0)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& leq(n0,pv40)
& ! [X2] :
( ~ leq(X2,n4)
| init = a_select2(rho_init,X2)
| ~ leq(n0,X2) )
& ( ! [X3] :
( ~ leq(X3,n4)
| init = a_select2(rhoold_init,X3)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ~ gt(loopcounter,n1)
| ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(muold_init,X4) ) )
& ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n135299)
| ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select3(q_init,X5,X6) ) )
& ! [X7] :
( init = a_select2(mu_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,pred(pv40)) )
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,pred(pv40))
| init = a_select2(sigma_init,X8) )
& a_select2(mu_init,pv40) = init
& init != a_select3(q_init,pv46,pv40) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
( ( ! [X0] :
( ~ leq(X0,n4)
| init = a_select2(sigmaold_init,X0)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& leq(n0,pv46)
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& leq(n0,pv40)
& ! [X6] :
( ~ leq(X6,n4)
| init = a_select2(rho_init,X6)
| ~ leq(n0,X6) )
& ( ! [X3] :
( ~ leq(X3,n4)
| init = a_select2(rhoold_init,X3)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ~ gt(loopcounter,n1)
| ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(muold_init,X1) ) )
& ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,n135299)
| ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,n4)
| init = a_select3(q_init,X7,X8) ) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,pred(pv40)) )
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,pred(pv40))
| init = a_select2(sigma_init,X2) )
& a_select2(mu_init,pv40) = init
& init != a_select3(q_init,pv46,pv40) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
( init != a_select3(q_init,pv46,pv40)
& leq(n0,pv40)
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,pred(pv40)) )
& leq(n0,pv46)
& leq(pv46,n135299)
& ( ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ! [X2] :
( init = a_select2(sigma_init,X2)
| ~ leq(X2,pred(pv40))
| ~ leq(n0,X2) )
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(n0,X7)
| ~ leq(X7,n135299) )
& a_select2(mu_init,pv40) = init
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& leq(pv40,n4)
& ( ! [X3] :
( init = a_select2(rhoold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
~ ( ( leq(n0,pv40)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,pred(pv40)) )
=> init = a_select2(mu_init,X5) )
& leq(n0,pv46)
& leq(pv46,n135299)
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(muold_init,X1) ) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> init = a_select2(rho_init,X6) )
& ! [X2] :
( ( leq(X2,pred(pv40))
& leq(n0,X2) )
=> init = a_select2(sigma_init,X2) )
& ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select2(sigmaold_init,X0) ) )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n135299) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select3(q_init,X7,X8) ) )
& a_select2(mu_init,pv40) = init
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select3(center_init,X4,n0) )
& leq(pv40,n4)
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rhoold_init,X3) ) ) )
=> init = a_select3(q_init,pv46,pv40) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(mu_init,pv40) = init
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& leq(pv40,n4)
& leq(n0,pv46)
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> init = a_select2(sigma_init,X20) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv40)) )
=> init = a_select2(mu_init,X19) )
& leq(pv46,n135299)
& leq(n0,pv40)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> init = a_select3(q_init,X13,X17) ) ) )
=> init = a_select3(q_init,pv46,pv40) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( a_select2(mu_init,pv40) = init
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& leq(pv40,n4)
& leq(n0,pv46)
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> init = a_select2(sigma_init,X20) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv40)) )
=> init = a_select2(mu_init,X19) )
& leq(pv46,n135299)
& leq(n0,pv40)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> init = a_select3(q_init,X13,X17) ) ) )
=> init = a_select3(q_init,pv46,pv40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0016) ).
fof(f446,plain,
init = sF33,
inference(backward_demodulation,[],[f418,f445]) ).
fof(f445,plain,
init = a_select3(q_init,pv46,pv40),
inference(subsumption_resolution,[],[f444,f307]) ).
fof(f307,plain,
leq(n0,pv46),
inference(cnf_transformation,[],[f209]) ).
fof(f444,plain,
( ~ leq(n0,pv46)
| init = a_select3(q_init,pv46,pv40) ),
inference(resolution,[],[f442,f298]) ).
fof(f298,plain,
leq(pv46,n135299),
inference(cnf_transformation,[],[f209]) ).
fof(f442,plain,
! [X1] :
( ~ leq(X1,n135299)
| init = a_select3(q_init,X1,pv40)
| ~ leq(n0,X1) ),
inference(subsumption_resolution,[],[f441,f305]) ).
fof(f305,plain,
leq(n0,pv40),
inference(cnf_transformation,[],[f209]) ).
fof(f441,plain,
! [X1] :
( ~ leq(n0,X1)
| init = a_select3(q_init,X1,pv40)
| ~ leq(X1,n135299)
| ~ leq(n0,pv40) ),
inference(resolution,[],[f301,f299]) ).
fof(f299,plain,
leq(pv40,n4),
inference(cnf_transformation,[],[f209]) ).
fof(f301,plain,
! [X6,X5] :
( ~ leq(X6,n4)
| ~ leq(X5,n135299)
| ~ leq(n0,X5)
| init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV168+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:02:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (15379)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (15389)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (15397)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (15381)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (15374)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (15381)Instruction limit reached!
% 0.20/0.54 % (15381)------------------------------
% 0.20/0.54 % (15381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15381)Termination reason: Unknown
% 0.20/0.54 % (15381)Termination phase: shuffling
% 0.20/0.54
% 0.20/0.54 % (15381)Memory used [KB]: 1151
% 0.20/0.54 % (15381)Time elapsed: 0.008 s
% 0.20/0.54 % (15381)Instructions burned: 7 (million)
% 0.20/0.54 % (15381)------------------------------
% 0.20/0.54 % (15381)------------------------------
% 0.20/0.54 % (15380)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)
% 0.20/0.54 % (15387)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (15378)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (15377)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (15376)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (15385)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)
% 0.20/0.54 % (15396)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)
% 0.20/0.54 % (15386)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (15391)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (15390)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (15401)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)
% 0.20/0.55 % (15384)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (15403)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.50/0.55 % (15389)First to succeed.
% 1.50/0.55 % (15400)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)
% 1.50/0.55 % (15388)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)
% 1.50/0.56 % (15393)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)
% 1.50/0.56 % (15394)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.56 % (15382)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.56 % (15389)Refutation found. Thanks to Tanya!
% 1.50/0.56 % SZS status Theorem for theBenchmark
% 1.50/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56 % (15389)------------------------------
% 1.50/0.56 % (15389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (15389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (15389)Termination reason: Refutation
% 1.50/0.56
% 1.50/0.56 % (15389)Memory used [KB]: 1407
% 1.50/0.56 % (15389)Time elapsed: 0.096 s
% 1.50/0.56 % (15389)Instructions burned: 21 (million)
% 1.50/0.56 % (15389)------------------------------
% 1.50/0.56 % (15389)------------------------------
% 1.50/0.56 % (15373)Success in time 0.201 s
%------------------------------------------------------------------------------