TSTP Solution File: SWV183+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV183+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 : n018.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 : Sat Sep 2 12:55:52 EDT 2023
% Result : Theorem 0.24s 0.45s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 54
% Syntax : Number of formulae : 130 ( 76 unt; 0 def)
% Number of atoms : 501 ( 110 equ)
% Maximal formula atoms : 42 ( 3 avg)
% Number of connectives : 539 ( 168 ~; 155 |; 132 &)
% ( 32 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 34 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-3 aty)
% Number of variables : 107 (; 103 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f615,plain,
$false,
inference(avatar_sat_refutation,[],[f458,f463,f468,f473,f478,f482,f486,f490,f494,f498,f502,f512,f517,f523,f528,f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f608,f613,f614]) ).
fof(f614,plain,
( spl41_5
| ~ spl41_3
| ~ spl41_2
| ~ spl41_7 ),
inference(avatar_split_clause,[],[f504,f484,f460,f465,f475]) ).
fof(f475,plain,
( spl41_5
<=> init = a_select2(mu_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f465,plain,
( spl41_3
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f460,plain,
( spl41_2
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f484,plain,
( spl41_7
<=> ! [X9] :
( init = a_select2(mu_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f504,plain,
( ~ leq(sK13,n4)
| init = a_select2(mu_init,sK13)
| ~ spl41_2
| ~ spl41_7 ),
inference(resolution,[],[f485,f462]) ).
fof(f462,plain,
( leq(n0,sK13)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f485,plain,
( ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,n4)
| init = a_select2(mu_init,X9) )
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f613,plain,
spl41_32,
inference(avatar_split_clause,[],[f292,f610]) ).
fof(f610,plain,
( spl41_32
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f292,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_2_tptp_minus_1) ).
fof(f608,plain,
spl41_31,
inference(avatar_split_clause,[],[f291,f605]) ).
fof(f605,plain,
( spl41_31
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f291,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_3_0) ).
fof(f603,plain,
spl41_30,
inference(avatar_split_clause,[],[f290,f600]) ).
fof(f600,plain,
( spl41_30
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f290,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_3_1) ).
fof(f598,plain,
spl41_29,
inference(avatar_split_clause,[],[f289,f595]) ).
fof(f595,plain,
( spl41_29
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f289,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_3_2) ).
fof(f593,plain,
spl41_28,
inference(avatar_split_clause,[],[f288,f590]) ).
fof(f590,plain,
( spl41_28
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f288,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_3_tptp_minus_1) ).
fof(f588,plain,
spl41_27,
inference(avatar_split_clause,[],[f287,f585]) ).
fof(f585,plain,
( spl41_27
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f287,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_5_0) ).
fof(f583,plain,
spl41_26,
inference(avatar_split_clause,[],[f286,f580]) ).
fof(f580,plain,
( spl41_26
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f286,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_5_4) ).
fof(f578,plain,
spl41_25,
inference(avatar_split_clause,[],[f285,f575]) ).
fof(f575,plain,
( spl41_25
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f285,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_5_1) ).
fof(f573,plain,
spl41_24,
inference(avatar_split_clause,[],[f284,f570]) ).
fof(f570,plain,
( spl41_24
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f284,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_5_2) ).
fof(f568,plain,
spl41_23,
inference(avatar_split_clause,[],[f283,f565]) ).
fof(f565,plain,
( spl41_23
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f283,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_5_3) ).
fof(f563,plain,
spl41_22,
inference(avatar_split_clause,[],[f282,f560]) ).
fof(f560,plain,
( spl41_22
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f282,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_5_tptp_minus_1) ).
fof(f558,plain,
spl41_21,
inference(avatar_split_clause,[],[f281,f555]) ).
fof(f555,plain,
( spl41_21
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f281,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_135299_0) ).
fof(f553,plain,
spl41_20,
inference(avatar_split_clause,[],[f280,f550]) ).
fof(f550,plain,
( spl41_20
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f280,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_135299_4) ).
fof(f548,plain,
spl41_19,
inference(avatar_split_clause,[],[f279,f545]) ).
fof(f545,plain,
( spl41_19
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f279,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_135299_1) ).
fof(f543,plain,
spl41_18,
inference(avatar_split_clause,[],[f278,f540]) ).
fof(f540,plain,
( spl41_18
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f278,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_135299_2) ).
fof(f538,plain,
spl41_17,
inference(avatar_split_clause,[],[f277,f535]) ).
fof(f535,plain,
( spl41_17
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f277,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_135299_3) ).
fof(f533,plain,
spl41_16,
inference(avatar_split_clause,[],[f276,f530]) ).
fof(f530,plain,
( spl41_16
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f276,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_135299_5) ).
fof(f528,plain,
spl41_15,
inference(avatar_split_clause,[],[f275,f525]) ).
fof(f525,plain,
( spl41_15
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f275,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',gt_135299_tptp_minus_1) ).
fof(f523,plain,
~ spl41_14,
inference(avatar_split_clause,[],[f274,f520]) ).
fof(f520,plain,
( spl41_14
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f274,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',defuse) ).
fof(f517,plain,
( spl41_13
| ~ spl41_3
| ~ spl41_2
| ~ spl41_6 ),
inference(avatar_split_clause,[],[f503,f480,f460,f465,f514]) ).
fof(f514,plain,
( spl41_13
<=> init = a_select2(rho_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f480,plain,
( spl41_6
<=> ! [X10] :
( init = a_select2(rho_init,X10)
| ~ leq(X10,n4)
| ~ leq(n0,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f503,plain,
( ~ leq(sK13,n4)
| init = a_select2(rho_init,sK13)
| ~ spl41_2
| ~ spl41_6 ),
inference(resolution,[],[f481,f462]) ).
fof(f481,plain,
( ! [X10] :
( ~ leq(n0,X10)
| ~ leq(X10,n4)
| init = a_select2(rho_init,X10) )
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f512,plain,
spl41_12,
inference(avatar_split_clause,[],[f263,f510]) ).
fof(f510,plain,
( spl41_12
<=> ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f263,plain,
! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( init != a_select2(mu_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13)
& ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ( ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ( ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(sigma_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(mu_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( init = a_select2(rho_init,X10)
| ~ leq(X10,n4)
| ~ leq(n0,X10) )
& ! [X11] :
( ! [X12] :
( init = a_select3(q_init,X11,X12)
| ~ leq(X12,n4)
| ~ leq(n0,X12) )
| ~ leq(X11,n135299)
| ~ leq(n0,X11) )
& gt(loopcounter,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f191,f192]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(mu_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(mu_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
( ? [X0] :
( init != a_select2(mu_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ( ! [X4] :
( init = a_select2(sigmaold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ( ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ gt(loopcounter,n1) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(sigma_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(mu_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( init = a_select2(rho_init,X10)
| ~ leq(X10,n4)
| ~ leq(n0,X10) )
& ! [X11] :
( ! [X12] :
( init = a_select3(q_init,X11,X12)
| ~ leq(X12,n4)
| ~ leq(n0,X12) )
| ~ leq(X11,n135299)
| ~ leq(n0,X11) )
& gt(loopcounter,n0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
( ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) )
& ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& gt(loopcounter,n0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
( ? [X12] :
( init != a_select2(mu_init,X12)
& leq(X12,n4)
& leq(n0,X12) )
& ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& gt(loopcounter,n0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigmaold_init,X0) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rhoold_init,X1) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(muold_init,X2) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(sigmaold_init,X3) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(rhoold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [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,n4)
& leq(n0,X7) )
=> init = a_select2(sigma_init,X7) )
& ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select2(mu_init,X8) )
& ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(rho_init,X9) )
& ! [X10] :
( ( leq(X10,n135299)
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> init = a_select3(q_init,X10,X11) ) )
& gt(loopcounter,n0) )
=> ! [X12] :
( ( leq(X12,n4)
& leq(n0,X12) )
=> init = a_select2(mu_init,X12) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n0) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> init = a_select2(mu_init,X18) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n0) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> init = a_select2(mu_init,X18) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',cl5_nebula_init_0091) ).
fof(f502,plain,
spl41_11,
inference(avatar_split_clause,[],[f269,f500]) ).
fof(f500,plain,
( spl41_11
<=> ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f269,plain,
! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f498,plain,
spl41_10,
inference(avatar_split_clause,[],[f268,f496]) ).
fof(f496,plain,
( spl41_10
<=> ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f268,plain,
! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f494,plain,
spl41_9,
inference(avatar_split_clause,[],[f267,f492]) ).
fof(f492,plain,
( spl41_9
<=> ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f267,plain,
! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f193]) ).
fof(f490,plain,
spl41_8,
inference(avatar_split_clause,[],[f262,f488]) ).
fof(f488,plain,
( spl41_8
<=> ! [X8] :
( init = a_select2(sigma_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f262,plain,
! [X8] :
( init = a_select2(sigma_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f193]) ).
fof(f486,plain,
spl41_7,
inference(avatar_split_clause,[],[f261,f484]) ).
fof(f261,plain,
! [X9] :
( init = a_select2(mu_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) ),
inference(cnf_transformation,[],[f193]) ).
fof(f482,plain,
spl41_6,
inference(avatar_split_clause,[],[f260,f480]) ).
fof(f260,plain,
! [X10] :
( init = a_select2(rho_init,X10)
| ~ leq(X10,n4)
| ~ leq(n0,X10) ),
inference(cnf_transformation,[],[f193]) ).
fof(f478,plain,
~ spl41_5,
inference(avatar_split_clause,[],[f272,f475]) ).
fof(f272,plain,
init != a_select2(mu_init,sK13),
inference(cnf_transformation,[],[f193]) ).
fof(f473,plain,
spl41_4,
inference(avatar_split_clause,[],[f273,f470]) ).
fof(f470,plain,
( spl41_4
<=> true ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f273,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/tmp/tmp.rOCriCnftX/Vampire---4.8_8646',ttrue) ).
fof(f468,plain,
spl41_3,
inference(avatar_split_clause,[],[f271,f465]) ).
fof(f271,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f193]) ).
fof(f463,plain,
spl41_2,
inference(avatar_split_clause,[],[f270,f460]) ).
fof(f270,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f193]) ).
fof(f458,plain,
spl41_1,
inference(avatar_split_clause,[],[f258,f455]) ).
fof(f455,plain,
( spl41_1
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f258,plain,
gt(loopcounter,n0),
inference(cnf_transformation,[],[f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWV183+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 30 17:49:34 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.24/0.43 % (8870)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (8907)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.24/0.44 % (8908)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.24/0.44 % (8910)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.24/0.44 % (8909)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 Vampire---4 for (569ds/0Mi)
% 0.24/0.44 % (8911)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 Vampire---4 for (531ds/0Mi)
% 0.24/0.44 % (8912)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 Vampire---4 for (522ds/0Mi)
% 0.24/0.44 % (8913)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 Vampire---4 for (497ds/0Mi)
% 0.24/0.45 % (8911)First to succeed.
% 0.24/0.45 % (8912)Also succeeded, but the first one will report.
% 0.24/0.45 % (8911)Refutation found. Thanks to Tanya!
% 0.24/0.45 % SZS status Theorem for Vampire---4
% 0.24/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.45 % (8911)------------------------------
% 0.24/0.45 % (8911)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.45 % (8911)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.45 % (8911)Termination reason: Refutation
% 0.24/0.45
% 0.24/0.45 % (8911)Memory used [KB]: 5884
% 0.24/0.45 % (8911)Time elapsed: 0.013 s
% 0.24/0.45 % (8911)------------------------------
% 0.24/0.45 % (8911)------------------------------
% 0.24/0.45 % (8870)Success in time 0.076 s
% 0.24/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------