TSTP Solution File: SWV186+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Tue Apr 30 16:42:11 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 19 unt; 0 def)
% Number of atoms : 308 ( 86 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 381 ( 123 ~; 110 |; 102 &)
% ( 12 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 85 ( 81 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f535,plain,
$false,
inference(avatar_sat_refutation,[],[f478,f483,f488,f493,f497,f501,f505,f509,f513,f517,f527,f533,f534]) ).
fof(f534,plain,
( spl41_4
| ~ spl41_3
| ~ spl41_2
| ~ spl41_5 ),
inference(avatar_split_clause,[],[f518,f495,f480,f485,f490]) ).
fof(f490,plain,
( spl41_4
<=> init = a_select2(muold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f485,plain,
( spl41_3
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f480,plain,
( spl41_2
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f495,plain,
( spl41_5
<=> ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f518,plain,
( ~ leq(sK13,n4)
| init = a_select2(muold_init,sK13)
| ~ spl41_2
| ~ spl41_5 ),
inference(resolution,[],[f496,f482]) ).
fof(f482,plain,
( leq(n0,sK13)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f496,plain,
( ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(muold_init,X6) )
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f533,plain,
~ spl41_12,
inference(avatar_split_clause,[],[f269,f530]) ).
fof(f530,plain,
( spl41_12
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f269,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f527,plain,
spl41_11,
inference(avatar_split_clause,[],[f259,f525]) ).
fof(f525,plain,
( spl41_11
<=> ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f259,plain,
! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( init != a_select2(muold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13)
& ! [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,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(muold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,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/benchmark/theBenchmark.p',cl5_nebula_init_0106) ).
fof(f517,plain,
spl41_10,
inference(avatar_split_clause,[],[f265,f515]) ).
fof(f515,plain,
( spl41_10
<=> ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f265,plain,
! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f513,plain,
spl41_9,
inference(avatar_split_clause,[],[f264,f511]) ).
fof(f511,plain,
( spl41_9
<=> ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f264,plain,
! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f509,plain,
spl41_8,
inference(avatar_split_clause,[],[f263,f507]) ).
fof(f507,plain,
( spl41_8
<=> ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f263,plain,
! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f505,plain,
spl41_7,
inference(avatar_split_clause,[],[f262,f503]) ).
fof(f503,plain,
( spl41_7
<=> ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f262,plain,
! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f501,plain,
spl41_6,
inference(avatar_split_clause,[],[f261,f499]) ).
fof(f499,plain,
( spl41_6
<=> ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f261,plain,
! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f194]) ).
fof(f497,plain,
spl41_5,
inference(avatar_split_clause,[],[f260,f495]) ).
fof(f260,plain,
! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f194]) ).
fof(f493,plain,
~ spl41_4,
inference(avatar_split_clause,[],[f268,f490]) ).
fof(f268,plain,
init != a_select2(muold_init,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f488,plain,
spl41_3,
inference(avatar_split_clause,[],[f267,f485]) ).
fof(f267,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f483,plain,
spl41_2,
inference(avatar_split_clause,[],[f266,f480]) ).
fof(f266,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f478,plain,
spl41_1,
inference(avatar_split_clause,[],[f257,f475]) ).
fof(f475,plain,
( spl41_1
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f257,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 04:32:11 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % (24943)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (24947)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (24948)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.35 % (24946)WARNING: value z3 for option sas not known
% 0.13/0.35 % (24944)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (24945)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (24949)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.35 % (24948)First to succeed.
% 0.13/0.35 % (24946)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.35 % (24950)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36 % (24948)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (24948)------------------------------
% 0.13/0.36 % (24948)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (24948)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (24948)Memory used [KB]: 1163
% 0.13/0.36 % (24948)Time elapsed: 0.007 s
% 0.13/0.36 % (24948)Instructions burned: 18 (million)
% 0.13/0.36 % (24948)------------------------------
% 0.13/0.36 % (24948)------------------------------
% 0.13/0.36 % (24943)Success in time 0.021 s
%------------------------------------------------------------------------------