TSTP Solution File: SWV179+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV179+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 : n028.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 16:42:09 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 73
% Syntax : Number of formulae : 166 ( 105 unt; 0 def)
% Number of atoms : 380 ( 63 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 306 ( 92 ~; 80 |; 66 &)
% ( 41 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 45 ( 43 usr; 42 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-3 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f674,plain,
$false,
inference(avatar_sat_refutation,[],[f474,f479,f484,f488,f492,f496,f500,f507,f513,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f668,f672,f673]) ).
fof(f673,plain,
( spl40_3
| ~ spl40_2
| ~ spl40_1
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f508,f494,f471,f476,f481]) ).
fof(f481,plain,
( spl40_3
<=> init = a_select2(rho_init,pv68) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f476,plain,
( spl40_2
<=> leq(pv68,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f471,plain,
( spl40_1
<=> leq(n0,pv68) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f494,plain,
( spl40_6
<=> ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f508,plain,
( ~ leq(pv68,n4)
| init = a_select2(rho_init,pv68)
| ~ spl40_1
| ~ spl40_6 ),
inference(resolution,[],[f495,f473]) ).
fof(f473,plain,
( leq(n0,pv68)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f495,plain,
( ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(rho_init,X1) )
| ~ spl40_6 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f672,plain,
spl40_41,
inference(avatar_split_clause,[],[f300,f670]) ).
fof(f670,plain,
( spl40_41
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_41])]) ).
fof(f300,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f668,plain,
spl40_40,
inference(avatar_split_clause,[],[f299,f666]) ).
fof(f666,plain,
( spl40_40
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_40])]) ).
fof(f299,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f664,plain,
spl40_39,
inference(avatar_split_clause,[],[f292,f661]) ).
fof(f661,plain,
( spl40_39
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_39])]) ).
fof(f292,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f659,plain,
spl40_38,
inference(avatar_split_clause,[],[f291,f656]) ).
fof(f656,plain,
( spl40_38
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_38])]) ).
fof(f291,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f654,plain,
spl40_37,
inference(avatar_split_clause,[],[f290,f651]) ).
fof(f651,plain,
( spl40_37
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_37])]) ).
fof(f290,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f649,plain,
spl40_36,
inference(avatar_split_clause,[],[f289,f646]) ).
fof(f646,plain,
( spl40_36
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_36])]) ).
fof(f289,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f644,plain,
spl40_35,
inference(avatar_split_clause,[],[f288,f641]) ).
fof(f641,plain,
( spl40_35
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f288,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f639,plain,
spl40_34,
inference(avatar_split_clause,[],[f287,f636]) ).
fof(f636,plain,
( spl40_34
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f287,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f634,plain,
spl40_33,
inference(avatar_split_clause,[],[f286,f631]) ).
fof(f631,plain,
( spl40_33
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_33])]) ).
fof(f286,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f629,plain,
spl40_32,
inference(avatar_split_clause,[],[f285,f626]) ).
fof(f626,plain,
( spl40_32
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_32])]) ).
fof(f285,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f624,plain,
spl40_31,
inference(avatar_split_clause,[],[f284,f621]) ).
fof(f621,plain,
( spl40_31
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_31])]) ).
fof(f284,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f619,plain,
spl40_30,
inference(avatar_split_clause,[],[f283,f616]) ).
fof(f616,plain,
( spl40_30
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_30])]) ).
fof(f283,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f614,plain,
spl40_29,
inference(avatar_split_clause,[],[f282,f611]) ).
fof(f611,plain,
( spl40_29
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_29])]) ).
fof(f282,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f609,plain,
spl40_28,
inference(avatar_split_clause,[],[f281,f606]) ).
fof(f606,plain,
( spl40_28
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
fof(f281,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f604,plain,
spl40_27,
inference(avatar_split_clause,[],[f280,f601]) ).
fof(f601,plain,
( spl40_27
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
fof(f280,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f599,plain,
( spl40_26
| ~ spl40_2
| ~ spl40_1
| ~ spl40_5 ),
inference(avatar_split_clause,[],[f502,f490,f471,f476,f596]) ).
fof(f596,plain,
( spl40_26
<=> init = a_select2(mu_init,pv68) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
fof(f490,plain,
( spl40_5
<=> ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f502,plain,
( ~ leq(pv68,n4)
| init = a_select2(mu_init,pv68)
| ~ spl40_1
| ~ spl40_5 ),
inference(resolution,[],[f491,f473]) ).
fof(f491,plain,
( ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(mu_init,X2) )
| ~ spl40_5 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f594,plain,
spl40_25,
inference(avatar_split_clause,[],[f279,f591]) ).
fof(f591,plain,
( spl40_25
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_25])]) ).
fof(f279,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f589,plain,
spl40_24,
inference(avatar_split_clause,[],[f278,f586]) ).
fof(f586,plain,
( spl40_24
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_24])]) ).
fof(f278,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f584,plain,
spl40_23,
inference(avatar_split_clause,[],[f277,f581]) ).
fof(f581,plain,
( spl40_23
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_23])]) ).
fof(f277,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f579,plain,
spl40_22,
inference(avatar_split_clause,[],[f276,f576]) ).
fof(f576,plain,
( spl40_22
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
fof(f276,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f574,plain,
spl40_21,
inference(avatar_split_clause,[],[f275,f571]) ).
fof(f571,plain,
( spl40_21
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f275,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f569,plain,
spl40_20,
inference(avatar_split_clause,[],[f274,f566]) ).
fof(f566,plain,
( spl40_20
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f274,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f564,plain,
spl40_19,
inference(avatar_split_clause,[],[f273,f561]) ).
fof(f561,plain,
( spl40_19
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_19])]) ).
fof(f273,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f559,plain,
spl40_18,
inference(avatar_split_clause,[],[f272,f556]) ).
fof(f556,plain,
( spl40_18
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_18])]) ).
fof(f272,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f554,plain,
spl40_17,
inference(avatar_split_clause,[],[f271,f551]) ).
fof(f551,plain,
( spl40_17
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f271,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_0) ).
fof(f549,plain,
spl40_16,
inference(avatar_split_clause,[],[f270,f546]) ).
fof(f546,plain,
( spl40_16
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f270,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_4) ).
fof(f544,plain,
spl40_15,
inference(avatar_split_clause,[],[f269,f541]) ).
fof(f541,plain,
( spl40_15
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f269,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_1) ).
fof(f539,plain,
spl40_14,
inference(avatar_split_clause,[],[f268,f536]) ).
fof(f536,plain,
( spl40_14
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f268,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_2) ).
fof(f534,plain,
spl40_13,
inference(avatar_split_clause,[],[f267,f531]) ).
fof(f531,plain,
( spl40_13
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f267,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_3) ).
fof(f529,plain,
spl40_12,
inference(avatar_split_clause,[],[f266,f526]) ).
fof(f526,plain,
( spl40_12
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_12])]) ).
fof(f266,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_5) ).
fof(f524,plain,
spl40_11,
inference(avatar_split_clause,[],[f265,f521]) ).
fof(f521,plain,
( spl40_11
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).
fof(f265,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_tptp_minus_1) ).
fof(f519,plain,
~ spl40_10,
inference(avatar_split_clause,[],[f264,f516]) ).
fof(f516,plain,
( spl40_10
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).
fof(f264,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f513,plain,
spl40_9,
inference(avatar_split_clause,[],[f257,f511]) ).
fof(f511,plain,
( spl40_9
<=> ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(X5,n4)
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).
fof(f257,plain,
! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(X5,n4)
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( init != a_select2(rho_init,pv68)
& ! [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(rhoold_init,X3)
| ~ leq(X3,pred(pv68))
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(muold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ leq(X6,n135299)
| ~ leq(n0,X6) )
& leq(pv68,n4)
& leq(n0,pv68) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( init != a_select2(rho_init,pv68)
& ! [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(rhoold_init,X3)
| ~ leq(X3,pred(pv68))
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(muold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
& ! [X6] :
( ! [X7] :
( init = a_select3(q_init,X6,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ leq(X6,n135299)
| ~ leq(n0,X6) )
& leq(pv68,n4)
& leq(n0,pv68) ),
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,pred(pv68))
& leq(n0,X3) )
=> init = a_select2(rhoold_init,X3) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(muold_init,X4) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(center_init,X5,n0) )
& ! [X6] :
( ( leq(X6,n135299)
& leq(n0,X6) )
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select3(q_init,X6,X7) ) )
& leq(pv68,n4)
& leq(n0,pv68) )
=> init = a_select2(rho_init,pv68) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(sigma_init,X28) )
& ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(rho_init,X27) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(mu_init,X21) )
& ! [X20] :
( ( leq(X20,pred(pv68))
& 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 ) )
& leq(pv68,n4)
& leq(n0,pv68) )
=> init = a_select2(rho_init,pv68) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(sigma_init,X28) )
& ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(rho_init,X27) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(mu_init,X21) )
& ! [X20] :
( ( leq(X20,pred(pv68))
& 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 ) )
& leq(pv68,n4)
& leq(n0,pv68) )
=> init = a_select2(rho_init,pv68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0071) ).
fof(f507,plain,
( spl40_8
| ~ spl40_2
| ~ spl40_1
| ~ spl40_4 ),
inference(avatar_split_clause,[],[f501,f486,f471,f476,f504]) ).
fof(f504,plain,
( spl40_8
<=> init = a_select2(muold_init,pv68) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f486,plain,
( spl40_4
<=> ! [X4] :
( init = a_select2(muold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f501,plain,
( ~ leq(pv68,n4)
| init = a_select2(muold_init,pv68)
| ~ spl40_1
| ~ spl40_4 ),
inference(resolution,[],[f487,f473]) ).
fof(f487,plain,
( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(muold_init,X4) )
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f500,plain,
spl40_7,
inference(avatar_split_clause,[],[f262,f498]) ).
fof(f498,plain,
( spl40_7
<=> ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f262,plain,
! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f496,plain,
spl40_6,
inference(avatar_split_clause,[],[f261,f494]) ).
fof(f261,plain,
! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f492,plain,
spl40_5,
inference(avatar_split_clause,[],[f260,f490]) ).
fof(f260,plain,
! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f488,plain,
spl40_4,
inference(avatar_split_clause,[],[f258,f486]) ).
fof(f258,plain,
! [X4] :
( init = a_select2(muold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f117]) ).
fof(f484,plain,
~ spl40_3,
inference(avatar_split_clause,[],[f263,f481]) ).
fof(f263,plain,
init != a_select2(rho_init,pv68),
inference(cnf_transformation,[],[f117]) ).
fof(f479,plain,
spl40_2,
inference(avatar_split_clause,[],[f255,f476]) ).
fof(f255,plain,
leq(pv68,n4),
inference(cnf_transformation,[],[f117]) ).
fof(f474,plain,
spl40_1,
inference(avatar_split_clause,[],[f254,f471]) ).
fof(f254,plain,
leq(n0,pv68),
inference(cnf_transformation,[],[f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV179+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 05:14:44 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (15746)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (15749)WARNING: value z3 for option sas not known
% 0.11/0.34 % (15750)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (15747)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (15752)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)
% 0.11/0.34 % (15748)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (15753)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)
% 0.11/0.34 % (15751)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)
% 0.11/0.34 % (15749)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)
% 0.11/0.35 % (15751)First to succeed.
% 0.11/0.35 % (15752)Also succeeded, but the first one will report.
% 0.11/0.35 % (15751)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (15751)------------------------------
% 0.11/0.35 % (15751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (15751)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (15751)Memory used [KB]: 1187
% 0.11/0.35 % (15751)Time elapsed: 0.011 s
% 0.11/0.35 % (15751)Instructions burned: 20 (million)
% 0.11/0.35 % (15751)------------------------------
% 0.11/0.35 % (15751)------------------------------
% 0.11/0.35 % (15746)Success in time 0.03 s
%------------------------------------------------------------------------------