TSTP Solution File: SWV179+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV179+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 : n019.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 18:55:44 EDT 2022
% Result : Theorem 1.19s 0.53s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 166 ( 51 equ)
% Maximal formula atoms : 26 ( 12 avg)
% Number of connectives : 211 ( 58 ~; 51 |; 75 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f442,plain,
$false,
inference(subsumption_resolution,[],[f441,f332]) ).
fof(f332,plain,
leq(pv68,n4),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ! [X0] :
( ~ leq(X0,n4)
| init = a_select2(mu_init,X0)
| ~ leq(n0,X0) )
& leq(pv68,n4)
& ! [X1] :
( ~ leq(X1,pred(pv68))
| init = a_select2(rhoold_init,X1)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( ~ leq(X3,n135299)
| ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ leq(n0,X3) )
& ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select2(rho_init,X6) )
& ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
& init != a_select2(rho_init,pv68)
& leq(n0,pv68) ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
( ! [X3] :
( ~ leq(X3,n4)
| init = a_select2(mu_init,X3)
| ~ leq(n0,X3) )
& leq(pv68,n4)
& ! [X1] :
( ~ leq(X1,pred(pv68))
| init = a_select2(rhoold_init,X1)
| ~ leq(n0,X1) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X4] :
( ~ leq(X4,n135299)
| ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ leq(n0,X4) )
& ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select2(rho_init,X6) )
& ! [X2] :
( init = a_select2(sigma_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& init != a_select2(rho_init,pv68)
& leq(n0,pv68) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
( init != a_select2(rho_init,pv68)
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
& leq(n0,pv68)
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
& ! [X2] :
( init = a_select2(sigma_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& leq(pv68,n4)
& ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv68)) ) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
~ ( ( ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(q_init,X4,X5) ) )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> init = a_select2(muold_init,X7) )
& leq(n0,pv68)
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> init = a_select2(rho_init,X6) )
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select3(center_init,X0,n0) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select2(sigma_init,X2) )
& leq(pv68,n4)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(mu_init,X3) )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,pred(pv68)) )
=> init = a_select2(rhoold_init,X1) ) )
=> init = a_select2(rho_init,pv68) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv68)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv68)) )
=> init = a_select2(rhoold_init,X20) )
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(sigma_init,X28) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(mu_init,X21) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(rho_init,X27) )
& leq(pv68,n4)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(muold_init,X19) ) )
=> init = a_select2(rho_init,pv68) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv68)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv68)) )
=> init = a_select2(rhoold_init,X20) )
& ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(sigma_init,X28) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(mu_init,X21) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(rho_init,X27) )
& leq(pv68,n4)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(muold_init,X19) ) )
=> init = a_select2(rho_init,pv68) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0071) ).
fof(f441,plain,
~ leq(pv68,n4),
inference(subsumption_resolution,[],[f440,f325]) ).
fof(f325,plain,
init != a_select2(rho_init,pv68),
inference(cnf_transformation,[],[f217]) ).
fof(f440,plain,
( init = a_select2(rho_init,pv68)
| ~ leq(pv68,n4) ),
inference(resolution,[],[f327,f324]) ).
fof(f324,plain,
leq(n0,pv68),
inference(cnf_transformation,[],[f217]) ).
fof(f327,plain,
! [X6] :
( ~ leq(n0,X6)
| init = a_select2(rho_init,X6)
| ~ leq(X6,n4) ),
inference(cnf_transformation,[],[f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV179+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:15:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (543)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)
% 0.20/0.51 % (551)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (551)Instruction limit reached!
% 0.20/0.51 % (551)------------------------------
% 0.20/0.51 % (551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (551)Termination reason: Unknown
% 0.20/0.51 % (551)Termination phase: Preprocessing 1
% 0.20/0.51
% 0.20/0.51 % (551)Memory used [KB]: 1023
% 0.20/0.51 % (551)Time elapsed: 0.002 s
% 0.20/0.51 % (551)Instructions burned: 2 (million)
% 0.20/0.51 % (551)------------------------------
% 0.20/0.51 % (551)------------------------------
% 1.19/0.51 % (569)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)
% 1.19/0.52 % (545)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)
% 1.19/0.52 % (548)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)
% 1.19/0.52 % (558)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)
% 1.19/0.52 % (546)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)
% 1.19/0.52 % (569)First to succeed.
% 1.19/0.53 % (544)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.19/0.53 % (563)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)
% 1.19/0.53 % (569)Refutation found. Thanks to Tanya!
% 1.19/0.53 % SZS status Theorem for theBenchmark
% 1.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.53 % (569)------------------------------
% 1.19/0.53 % (569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53 % (569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53 % (569)Termination reason: Refutation
% 1.19/0.53
% 1.19/0.53 % (569)Memory used [KB]: 1279
% 1.19/0.53 % (569)Time elapsed: 0.125 s
% 1.19/0.53 % (569)Instructions burned: 11 (million)
% 1.19/0.53 % (569)------------------------------
% 1.19/0.53 % (569)------------------------------
% 1.19/0.53 % (542)Success in time 0.177 s
%------------------------------------------------------------------------------