TSTP Solution File: SWV416+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Sun May 5 10:51:44 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 153
% Syntax : Number of formulae : 439 ( 132 unt; 0 def)
% Number of atoms : 1023 ( 218 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 941 ( 357 ~; 370 |; 68 &)
% ( 102 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 106 ( 104 usr; 90 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 8 con; 0-3 aty)
% Number of variables : 913 ( 895 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f761,plain,
$false,
inference(avatar_sat_refutation,[],[f227,f232,f237,f242,f246,f250,f254,f258,f262,f266,f270,f274,f278,f282,f286,f290,f294,f303,f307,f311,f315,f319,f323,f329,f333,f337,f341,f345,f349,f353,f360,f364,f368,f372,f376,f380,f384,f385,f397,f401,f406,f410,f414,f418,f422,f438,f442,f446,f455,f473,f477,f481,f485,f489,f493,f497,f524,f528,f532,f536,f542,f548,f552,f556,f564,f568,f572,f576,f580,f584,f619,f623,f631,f635,f642,f651,f661,f665,f675,f679,f683,f702,f706,f715,f724,f728,f732,f750,f754,f760]) ).
fof(f760,plain,
( spl6_19
| ~ spl6_84 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f759,plain,
( $false
| spl6_19
| ~ spl6_84 ),
inference(trivial_inequality_removal,[],[f756]) ).
fof(f756,plain,
( remove_pq(i(triple(sK0,sK1,sK2)),sK3) != remove_pq(i(triple(sK0,sK1,sK2)),sK3)
| spl6_19
| ~ spl6_84 ),
inference(superposition,[],[f302,f714]) ).
fof(f714,plain,
( ! [X0,X1] : remove_pq(i(triple(X0,sK1,X1)),sK3) = i(remove_cpq(triple(X0,sK1,X1),sK3))
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl6_84
<=> ! [X0,X1] : remove_pq(i(triple(X0,sK1,X1)),sK3) = i(remove_cpq(triple(X0,sK1,X1),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f302,plain,
( i(remove_cpq(triple(sK0,sK1,sK2),sK3)) != remove_pq(i(triple(sK0,sK1,sK2)),sK3)
| spl6_19 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl6_19
<=> i(remove_cpq(triple(sK0,sK1,sK2),sK3)) = remove_pq(i(triple(sK0,sK1,sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f754,plain,
( spl6_89
| ~ spl6_23
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f393,f378,f317,f752]) ).
fof(f752,plain,
( spl6_89
<=> ! [X2,X0,X1] :
( ~ contains_pq(X0,X1)
| pi_sharp_remove(insert_pq(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
fof(f317,plain,
( spl6_23
<=> ! [X0,X1] :
( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f378,plain,
( spl6_37
<=> ! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( ~ contains_pq(X0,X1)
| pi_sharp_remove(insert_pq(X0,X2),X1) )
| ~ spl6_23
| ~ spl6_37 ),
inference(resolution,[],[f379,f318]) ).
fof(f318,plain,
( ! [X0,X1] :
( ~ contains_pq(X0,X1)
| pi_sharp_remove(X0,X1) )
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f379,plain,
( ! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) )
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f750,plain,
( spl6_88
| ~ spl6_23
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f388,f358,f317,f748]) ).
fof(f748,plain,
( spl6_88
<=> ! [X0,X1] :
( issmallestelement_pq(X0,X1)
| pi_sharp_remove(X0,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f358,plain,
( spl6_32
<=> ! [X0,X1] :
( issmallestelement_pq(X0,X1)
| contains_pq(X0,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f388,plain,
( ! [X0,X1] :
( issmallestelement_pq(X0,X1)
| pi_sharp_remove(X0,sK5(X0,X1)) )
| ~ spl6_23
| ~ spl6_32 ),
inference(resolution,[],[f359,f318]) ).
fof(f359,plain,
( ! [X0,X1] :
( contains_pq(X0,sK5(X0,X1))
| issmallestelement_pq(X0,X1) )
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f732,plain,
( spl6_87
| ~ spl6_16
| ~ spl6_66 ),
inference(avatar_split_clause,[],[f594,f566,f288,f730]) ).
fof(f730,plain,
( spl6_87
<=> ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f288,plain,
( spl6_16
<=> ! [X0,X1] : ~ ok(triple(X0,X1,bad)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f566,plain,
( spl6_66
<=> ! [X0,X3,X2,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f594,plain,
( ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1))
| ~ spl6_16
| ~ spl6_66 ),
inference(superposition,[],[f289,f567]) ).
fof(f567,plain,
( ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2)
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f289,plain,
( ! [X0,X1] : ~ ok(triple(X0,X1,bad))
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f728,plain,
( spl6_86
| ~ spl6_17
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f504,f487,f292,f726]) ).
fof(f726,plain,
( spl6_86
<=> ! [X2,X0,X1] : contains_pq(insert_pq(insert_pq(X0,X2),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
fof(f292,plain,
( spl6_17
<=> ! [X2,X0] : contains_pq(insert_pq(X0,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f487,plain,
( spl6_54
<=> ! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f504,plain,
( ! [X2,X0,X1] : contains_pq(insert_pq(insert_pq(X0,X2),X1),X2)
| ~ spl6_17
| ~ spl6_54 ),
inference(superposition,[],[f293,f488]) ).
fof(f488,plain,
( ! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1)
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f293,plain,
( ! [X2,X0] : contains_pq(insert_pq(X0,X2),X2)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f724,plain,
( spl6_85
| ~ spl6_22
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f355,f339,f313,f722]) ).
fof(f722,plain,
( spl6_85
<=> ! [X0,X1] :
( ~ pi_remove(X0,X1)
| contains_pq(i(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
fof(f313,plain,
( spl6_22
<=> ! [X0,X1] :
( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f339,plain,
( spl6_28
<=> ! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f355,plain,
( ! [X0,X1] :
( ~ pi_remove(X0,X1)
| contains_pq(i(X0),X1) )
| ~ spl6_22
| ~ spl6_28 ),
inference(resolution,[],[f340,f314]) ).
fof(f314,plain,
( ! [X0,X1] :
( ~ pi_sharp_remove(X0,X1)
| contains_pq(X0,X1) )
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f340,plain,
( ! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f715,plain,
( spl6_84
| ~ spl6_62
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f652,f649,f546,f713]) ).
fof(f546,plain,
( spl6_62
<=> ! [X0,X1] : contains_pq(i(triple(X0,sK1,X1)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f649,plain,
( spl6_76
<=> ! [X0,X3,X2,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f652,plain,
( ! [X0,X1] : remove_pq(i(triple(X0,sK1,X1)),sK3) = i(remove_cpq(triple(X0,sK1,X1),sK3))
| ~ spl6_62
| ~ spl6_76 ),
inference(resolution,[],[f650,f547]) ).
fof(f547,plain,
( ! [X0,X1] : contains_pq(i(triple(X0,sK1,X1)),sK3)
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f650,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_pq(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) )
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f706,plain,
( spl6_83
| ~ spl6_8
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f430,f412,f256,f704]) ).
fof(f704,plain,
( spl6_83
<=> ! [X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f256,plain,
( spl6_8
<=> ! [X0] : less_than(bottom,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f412,plain,
( spl6_43
<=> ! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f430,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,bottom) )
| ~ spl6_8
| ~ spl6_43 ),
inference(resolution,[],[f413,f257]) ).
fof(f257,plain,
( ! [X0] : less_than(bottom,X0)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f413,plain,
( ! [X2,X0,X1] :
( ~ less_than(X1,X2)
| less_than(X0,X2)
| ~ less_than(X0,X1) )
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f702,plain,
( spl6_82
| ~ spl6_21
| ~ spl6_39 ),
inference(avatar_split_clause,[],[f428,f395,f309,f700]) ).
fof(f700,plain,
( spl6_82
<=> ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f309,plain,
( spl6_21
<=> ! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f395,plain,
( spl6_39
<=> ! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f428,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) )
| ~ spl6_21
| ~ spl6_39 ),
inference(duplicate_literal_removal,[],[f425]) ).
fof(f425,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0)
| less_than(X0,X1) )
| ~ spl6_21
| ~ spl6_39 ),
inference(resolution,[],[f396,f310]) ).
fof(f310,plain,
( ! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) )
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f396,plain,
( ! [X0,X1] :
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) )
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f683,plain,
spl6_81,
inference(avatar_split_clause,[],[f199,f681]) ).
fof(f681,plain,
( spl6_81
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f199,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f679,plain,
spl6_80,
inference(avatar_split_clause,[],[f198,f677]) ).
fof(f677,plain,
( spl6_80
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f198,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f675,plain,
( spl6_79
| ~ spl6_8
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f389,f362,f256,f673]) ).
fof(f673,plain,
( spl6_79
<=> ! [X0] : issmallestelement_pq(X0,bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
fof(f362,plain,
( spl6_33
<=> ! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ~ less_than(X1,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f389,plain,
( ! [X0] : issmallestelement_pq(X0,bottom)
| ~ spl6_8
| ~ spl6_33 ),
inference(resolution,[],[f363,f257]) ).
fof(f363,plain,
( ! [X0,X1] :
( ~ less_than(X1,sK5(X0,X1))
| issmallestelement_pq(X0,X1) )
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f665,plain,
spl6_78,
inference(avatar_split_clause,[],[f201,f663]) ).
fof(f663,plain,
( spl6_78
<=> ! [X0,X3,X2,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,X3),X3)
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f661,plain,
spl6_77,
inference(avatar_split_clause,[],[f200,f659]) ).
fof(f659,plain,
( spl6_77
<=> ! [X0,X3,X2,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X3,lookup_slb(X1,X3))
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f651,plain,
spl6_76,
inference(avatar_split_clause,[],[f142,f649]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2,X3] :
( contains_pq(i(triple(X0,X1,X2)),X3)
=> i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main3_li34) ).
fof(f642,plain,
spl6_75,
inference(avatar_split_clause,[],[f196,f640]) ).
fof(f640,plain,
( spl6_75
<=> ! [X0,X3,X2,X1] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f635,plain,
spl6_74,
inference(avatar_split_clause,[],[f197,f633]) ).
fof(f633,plain,
( spl6_74
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f197,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f631,plain,
( spl6_73
| ~ spl6_5
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f387,f358,f244,f629]) ).
fof(f629,plain,
( spl6_73
<=> ! [X0] : issmallestelement_pq(create_pq,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f244,plain,
( spl6_5
<=> ! [X0] : ~ contains_pq(create_pq,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f387,plain,
( ! [X0] : issmallestelement_pq(create_pq,X0)
| ~ spl6_5
| ~ spl6_32 ),
inference(resolution,[],[f359,f245]) ).
fof(f245,plain,
( ! [X0] : ~ contains_pq(create_pq,X0)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f623,plain,
spl6_72,
inference(avatar_split_clause,[],[f194,f621]) ).
fof(f621,plain,
( spl6_72
<=> ! [X0,X3,X2,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
| ~ less_than(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
| ~ less_than(X2,X3) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
| ~ less_than(X2,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( less_than(X2,X3)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f619,plain,
spl6_71,
inference(avatar_split_clause,[],[f193,f617]) ).
fof(f617,plain,
( spl6_71
<=> ! [X0,X3,X2,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
| ~ strictly_less_than(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
| ~ strictly_less_than(X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
| ~ strictly_less_than(X3,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( strictly_less_than(X3,X2)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f584,plain,
spl6_70,
inference(avatar_split_clause,[],[f210,f582]) ).
fof(f582,plain,
( spl6_70
<=> ! [X4,X0,X3,X2,X1] :
( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4] :
( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( ( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2)) )
& ( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ) )
| ~ less_than(X4,X3) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) )
| ~ less_than(X4,X3) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2,X3,X4] :
( less_than(X4,X3)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f580,plain,
spl6_69,
inference(avatar_split_clause,[],[f209,f578]) ).
fof(f578,plain,
( spl6_69
<=> ! [X4,X0,X3,X2,X1] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ less_than(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ less_than(X4,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f576,plain,
spl6_68,
inference(avatar_split_clause,[],[f207,f574]) ).
fof(f574,plain,
( spl6_68
<=> ! [X4,X0,X3,X2,X1] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f572,plain,
spl6_67,
inference(avatar_split_clause,[],[f195,f570]) ).
fof(f570,plain,
( spl6_67
<=> ! [X0,X3,X2,X1] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f568,plain,
spl6_66,
inference(avatar_split_clause,[],[f190,f566]) ).
fof(f190,plain,
! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f564,plain,
spl6_65,
inference(avatar_split_clause,[],[f185,f562]) ).
fof(f562,plain,
( spl6_65
<=> ! [X2,X0,X1] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f185,plain,
! [X2,X0,X1] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( X1 != X2
& contains_pq(X0,X2) )
=> remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f556,plain,
spl6_64,
inference(avatar_split_clause,[],[f212,f554]) ).
fof(f554,plain,
( spl6_64
<=> ! [X4,X0,X3,X2,X1] :
( X3 = X4
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] :
( X3 = X4
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f552,plain,
spl6_63,
inference(avatar_split_clause,[],[f211,f550]) ).
fof(f550,plain,
( spl6_63
<=> ! [X4,X0,X3,X2,X1] :
( X1 = X2
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4] :
( X1 = X2
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
inference(cnf_transformation,[],[f138]) ).
fof(f548,plain,
( spl6_62
| ~ spl6_41
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f463,f453,f403,f546]) ).
fof(f403,plain,
( spl6_41
<=> contains_pq(i(triple(sK0,sK1,sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f453,plain,
( spl6_49
<=> ! [X4,X0,X3,X2,X1] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f463,plain,
( ! [X0,X1] : contains_pq(i(triple(X0,sK1,X1)),sK3)
| ~ spl6_41
| ~ spl6_49 ),
inference(superposition,[],[f405,f454]) ).
fof(f454,plain,
( ! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ~ spl6_49 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f405,plain,
( contains_pq(i(triple(sK0,sK1,sK2)),sK3)
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f542,plain,
spl6_61,
inference(avatar_split_clause,[],[f192,f540]) ).
fof(f540,plain,
( spl6_61
<=> ! [X0,X3,X2,X1] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ~ contains_slb(X1,X3)
=> triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f536,plain,
spl6_60,
inference(avatar_split_clause,[],[f204,f534]) ).
fof(f534,plain,
( spl6_60
<=> ! [X0,X3,X2,X1] :
( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f532,plain,
spl6_59,
inference(avatar_split_clause,[],[f170,f530]) ).
fof(f530,plain,
( spl6_59
<=> ! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f170,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> removemin_pq_eff(X0,X1) = remove_pq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f528,plain,
spl6_58,
inference(avatar_split_clause,[],[f213,f526]) ).
fof(f526,plain,
( spl6_58
<=> ! [X4,X0,X3,X2,X1] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f138]) ).
fof(f524,plain,
spl6_57,
inference(avatar_split_clause,[],[f208,f522]) ).
fof(f522,plain,
( spl6_57
<=> ! [X4,X0,X3,X2,X1] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(true_and_false_elimination,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f497,plain,
spl6_56,
inference(avatar_split_clause,[],[f218,f495]) ).
fof(f495,plain,
( spl6_56
<=> ! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f218,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(definition_unfolding,[],[f191,f152]) ).
fof(f152,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f191,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f493,plain,
spl6_55,
inference(avatar_split_clause,[],[f187,f491]) ).
fof(f491,plain,
( spl6_55
<=> ! [X2,X0,X1] :
( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f187,plain,
! [X2,X0,X1] :
( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( contains_pq(insert_pq(X0,X1),X2)
<=> ( X1 = X2
| contains_pq(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f489,plain,
spl6_54,
inference(avatar_split_clause,[],[f181,f487]) ).
fof(f181,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f485,plain,
spl6_53,
inference(avatar_split_clause,[],[f169,f483]) ).
fof(f483,plain,
( spl6_53
<=> ! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f169,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> findmin_pq_eff(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f481,plain,
( spl6_52
| ~ spl6_18
| ~ spl6_49 ),
inference(avatar_split_clause,[],[f464,f453,f296,f479]) ).
fof(f479,plain,
( spl6_52
<=> ! [X0,X1] : pi_sharp_remove(i(triple(X0,sK1,X1)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f296,plain,
( spl6_18
<=> pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f464,plain,
( ! [X0,X1] : pi_sharp_remove(i(triple(X0,sK1,X1)),sK3)
| ~ spl6_18
| ~ spl6_49 ),
inference(superposition,[],[f297,f454]) ).
fof(f297,plain,
( pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f477,plain,
spl6_51,
inference(avatar_split_clause,[],[f168,f475]) ).
fof(f475,plain,
( spl6_51
<=> ! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f168,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> findmin_pq_res(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f473,plain,
spl6_50,
inference(avatar_split_clause,[],[f167,f471]) ).
fof(f471,plain,
( spl6_50
<=> ! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f167,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> removemin_pq_res(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f455,plain,
spl6_49,
inference(avatar_split_clause,[],[f143,f453]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main3_li12) ).
fof(f446,plain,
spl6_48,
inference(avatar_split_clause,[],[f217,f444]) ).
fof(f444,plain,
( spl6_48
<=> ! [X0,X1] :
( succ_cpq(X0,remove_cpq(findmin_cpq_eff(X1),removemin_cpq_res(X1)))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f217,plain,
! [X0,X1] :
( succ_cpq(X0,remove_cpq(findmin_cpq_eff(X1),removemin_cpq_res(X1)))
| ~ succ_cpq(X0,X1) ),
inference(definition_unfolding,[],[f165,f215]) ).
fof(f215,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),removemin_cpq_res(X0)),
inference(definition_unfolding,[],[f153,f152]) ).
fof(f153,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f165,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,removemin_cpq_eff(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f442,plain,
spl6_47,
inference(avatar_split_clause,[],[f205,f440]) ).
fof(f440,plain,
( spl6_47
<=> ! [X0,X3,X2,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f438,plain,
spl6_46,
inference(avatar_split_clause,[],[f163,f436]) ).
fof(f436,plain,
( spl6_46
<=> ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f163,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f422,plain,
spl6_45,
inference(avatar_split_clause,[],[f203,f420]) ).
fof(f420,plain,
( spl6_45
<=> ! [X0,X3,X2,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f418,plain,
spl6_44,
inference(avatar_split_clause,[],[f202,f416]) ).
fof(f416,plain,
( spl6_44
<=> ! [X2,X0,X1,X3] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f414,plain,
spl6_43,
inference(avatar_split_clause,[],[f186,f412]) ).
fof(f186,plain,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( ( less_than(X1,X2)
& less_than(X0,X1) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f410,plain,
spl6_42,
inference(avatar_split_clause,[],[f180,f408]) ).
fof(f408,plain,
( spl6_42
<=> ! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f180,plain,
! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f406,plain,
( spl6_41
| ~ spl6_18
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f386,f313,f296,f403]) ).
fof(f386,plain,
( contains_pq(i(triple(sK0,sK1,sK2)),sK3)
| ~ spl6_18
| ~ spl6_22 ),
inference(resolution,[],[f297,f314]) ).
fof(f401,plain,
spl6_40,
inference(avatar_split_clause,[],[f179,f399]) ).
fof(f399,plain,
( spl6_40
<=> ! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f179,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f397,plain,
spl6_39,
inference(avatar_split_clause,[],[f173,f395]) ).
fof(f173,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f385,plain,
( ~ spl6_1
| spl6_18
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f354,f339,f296,f224]) ).
fof(f224,plain,
( spl6_1
<=> pi_remove(triple(sK0,sK1,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f354,plain,
( ~ pi_remove(triple(sK0,sK1,sK2),sK3)
| spl6_18
| ~ spl6_28 ),
inference(resolution,[],[f340,f298]) ).
fof(f298,plain,
( ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3)
| spl6_18 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f384,plain,
spl6_38,
inference(avatar_split_clause,[],[f222,f382]) ).
fof(f382,plain,
( spl6_38
<=> ! [X4,X0,X2] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f222,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f221]) ).
fof(f221,plain,
! [X2,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4)
| X1 != X2 ),
inference(equality_resolution,[],[f214]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 != X4
| X1 != X2 ),
inference(cnf_transformation,[],[f138]) ).
fof(f380,plain,
spl6_37,
inference(avatar_split_clause,[],[f188,f378]) ).
fof(f188,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f376,plain,
spl6_36,
inference(avatar_split_clause,[],[f184,f374]) ).
fof(f374,plain,
( spl6_36
<=> ! [X2,X0,X1] :
( bad = X2
| ok(triple(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f184,plain,
! [X2,X0,X1] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f372,plain,
spl6_35,
inference(avatar_split_clause,[],[f183,f370]) ).
fof(f370,plain,
( spl6_35
<=> ! [X2,X0,X1] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f183,plain,
! [X2,X0,X1] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,remove_cpq(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f368,plain,
spl6_34,
inference(avatar_split_clause,[],[f182,f366]) ).
fof(f366,plain,
( spl6_34
<=> ! [X2,X0,X1] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f182,plain,
! [X2,X0,X1] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,insert_cpq(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f364,plain,
spl6_33,
inference(avatar_split_clause,[],[f175,f362]) ).
fof(f175,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ~ less_than(X1,sK5(X0,X1)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ( ~ less_than(X1,sK5(X0,X1))
& contains_pq(X0,sK5(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f95,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] :
( ~ less_than(X1,X2)
& contains_pq(X0,X2) )
=> ( ~ less_than(X1,sK5(X0,X1))
& contains_pq(X0,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ? [X2] :
( ~ less_than(X1,X2)
& contains_pq(X0,X2) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( contains_pq(X0,X2)
=> less_than(X1,X2) )
=> issmallestelement_pq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
<=> ! [X2] :
( contains_pq(X0,X2)
=> less_than(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f360,plain,
spl6_32,
inference(avatar_split_clause,[],[f174,f358]) ).
fof(f174,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| contains_pq(X0,sK5(X0,X1)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f353,plain,
( spl6_31
| ~ spl6_17
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f325,f317,f292,f351]) ).
fof(f351,plain,
( spl6_31
<=> ! [X0,X1] : pi_sharp_remove(insert_pq(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f325,plain,
( ! [X0,X1] : pi_sharp_remove(insert_pq(X0,X1),X1)
| ~ spl6_17
| ~ spl6_23 ),
inference(resolution,[],[f318,f293]) ).
fof(f349,plain,
spl6_30,
inference(avatar_split_clause,[],[f220,f347]) ).
fof(f347,plain,
( spl6_30
<=> ! [X2,X0,X3] : contains_slb(insert_slb(X0,pair(X2,X3)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f220,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f135]) ).
fof(f345,plain,
spl6_29,
inference(avatar_split_clause,[],[f216,f343]) ).
fof(f343,plain,
( spl6_29
<=> ! [X0,X1] : bottom = removemin_cpq_res(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f216,plain,
! [X0,X1] : bottom = removemin_cpq_res(triple(X0,create_slb,X1)),
inference(definition_unfolding,[],[f160,f152]) ).
fof(f160,plain,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f341,plain,
spl6_28,
inference(avatar_split_clause,[],[f176,f339]) ).
fof(f176,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( pi_remove(X0,X1)
=> pi_sharp_remove(i(X0),X1) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( pi_remove(X0,X1)
<=> pi_sharp_remove(i(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f337,plain,
spl6_27,
inference(avatar_split_clause,[],[f166,f335]) ).
fof(f335,plain,
( spl6_27
<=> ! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f166,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,findmin_cpq_eff(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f333,plain,
spl6_26,
inference(avatar_split_clause,[],[f162,f331]) ).
fof(f331,plain,
( spl6_26
<=> ! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f162,plain,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f329,plain,
spl6_25,
inference(avatar_split_clause,[],[f161,f327]) ).
fof(f327,plain,
( spl6_25
<=> ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f161,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f323,plain,
spl6_24,
inference(avatar_split_clause,[],[f178,f321]) ).
fof(f321,plain,
( spl6_24
<=> ! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f178,plain,
! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f319,plain,
spl6_23,
inference(avatar_split_clause,[],[f172,f317]) ).
fof(f172,plain,
! [X0,X1] :
( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) )
& ( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0,X1] :
( pi_sharp_remove(X0,X1)
<=> contains_pq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f315,plain,
spl6_22,
inference(avatar_split_clause,[],[f171,f313]) ).
fof(f171,plain,
! [X0,X1] :
( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f311,plain,
spl6_21,
inference(avatar_split_clause,[],[f164,f309]) ).
fof(f164,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f307,plain,
spl6_20,
inference(avatar_split_clause,[],[f154,f305]) ).
fof(f305,plain,
( spl6_20
<=> ! [X0] :
( succ_cpq(X0,sK4(X0))
| ~ phi(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f154,plain,
! [X0] :
( succ_cpq(X0,sK4(X0))
| ~ phi(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( check_cpq(sK4(X0))
& ok(sK4(X0))
& succ_cpq(X0,sK4(X0)) )
| ~ phi(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f82,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( check_cpq(X1)
& ok(X1)
& succ_cpq(X0,X1) )
=> ( check_cpq(sK4(X0))
& ok(sK4(X0))
& succ_cpq(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( check_cpq(X1)
& ok(X1)
& succ_cpq(X0,X1) )
| ~ phi(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( phi(X0)
=> ? [X1] :
( check_cpq(X1)
& ok(X1)
& succ_cpq(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( phi(X0)
<=> ? [X1] :
( check_cpq(X1)
& ok(X1)
& succ_cpq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f303,plain,
( ~ spl6_18
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f141,f300,f296]) ).
fof(f141,plain,
( i(remove_cpq(triple(sK0,sK1,sK2),sK3)) != remove_pq(i(triple(sK0,sK1,sK2)),sK3)
| ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( i(remove_cpq(triple(sK0,sK1,sK2),sK3)) != remove_pq(i(triple(sK0,sK1,sK2)),sK3)
| ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) )
& phi(remove_cpq(triple(sK0,sK1,sK2),sK3))
& pi_remove(triple(sK0,sK1,sK2),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f80,f124]) ).
fof(f124,plain,
( ? [X0,X1,X2,X3] :
( ( i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3)
| ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) )
=> ( ( i(remove_cpq(triple(sK0,sK1,sK2),sK3)) != remove_pq(i(triple(sK0,sK1,sK2)),sK3)
| ~ pi_sharp_remove(i(triple(sK0,sK1,sK2)),sK3) )
& phi(remove_cpq(triple(sK0,sK1,sK2),sK3))
& pi_remove(triple(sK0,sK1,sK2),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( ( i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3)
| ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X0,X1,X2,X3] :
( ( i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3)
| ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
& pi_sharp_remove(i(triple(X0,X1,X2)),X3) ) ) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
& pi_sharp_remove(i(triple(X0,X1,X2)),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co3) ).
fof(f294,plain,
spl6_17,
inference(avatar_split_clause,[],[f219,f292]) ).
fof(f219,plain,
! [X2,X0] : contains_pq(insert_pq(X0,X2),X2),
inference(equality_resolution,[],[f189]) ).
fof(f189,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f132]) ).
fof(f290,plain,
spl6_16,
inference(avatar_split_clause,[],[f177,f288]) ).
fof(f177,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f286,plain,
spl6_15,
inference(avatar_split_clause,[],[f159,f284]) ).
fof(f284,plain,
( spl6_15
<=> ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f159,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f282,plain,
spl6_14,
inference(avatar_split_clause,[],[f156,f280]) ).
fof(f280,plain,
( spl6_14
<=> ! [X0] :
( check_cpq(sK4(X0))
| ~ phi(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f156,plain,
! [X0] :
( check_cpq(sK4(X0))
| ~ phi(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f278,plain,
spl6_13,
inference(avatar_split_clause,[],[f155,f276]) ).
fof(f276,plain,
( spl6_13
<=> ! [X0] :
( ok(sK4(X0))
| ~ phi(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f155,plain,
! [X0] :
( ok(sK4(X0))
| ~ phi(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f274,plain,
spl6_12,
inference(avatar_split_clause,[],[f151,f272]) ).
fof(f272,plain,
( spl6_12
<=> ! [X0] : create_slb = update_slb(create_slb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f151,plain,
! [X0] : create_slb = update_slb(create_slb,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : create_slb = update_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f270,plain,
spl6_11,
inference(avatar_split_clause,[],[f158,f268]) ).
fof(f268,plain,
( spl6_11
<=> ! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f158,plain,
! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f266,plain,
spl6_10,
inference(avatar_split_clause,[],[f157,f264]) ).
fof(f264,plain,
( spl6_10
<=> ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f157,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f262,plain,
spl6_9,
inference(avatar_split_clause,[],[f150,f260]) ).
fof(f260,plain,
( spl6_9
<=> ! [X0] : succ_cpq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f150,plain,
! [X0] : succ_cpq(X0,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : succ_cpq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f258,plain,
spl6_8,
inference(avatar_split_clause,[],[f149,f256]) ).
fof(f149,plain,
! [X0] : less_than(bottom,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] : less_than(bottom,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bottom_smallest) ).
fof(f254,plain,
spl6_7,
inference(avatar_split_clause,[],[f148,f252]) ).
fof(f252,plain,
( spl6_7
<=> ! [X0] : less_than(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f148,plain,
! [X0] : less_than(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : less_than(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f250,plain,
spl6_6,
inference(avatar_split_clause,[],[f147,f248]) ).
fof(f248,plain,
( spl6_6
<=> ! [X0] : ~ contains_slb(create_slb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f147,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f246,plain,
spl6_5,
inference(avatar_split_clause,[],[f146,f244]) ).
fof(f146,plain,
! [X0] : ~ contains_pq(create_pq,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ contains_pq(create_pq,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f242,plain,
~ spl6_4,
inference(avatar_split_clause,[],[f145,f239]) ).
fof(f239,plain,
( spl6_4
<=> isnonempty_slb(create_slb) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f145,plain,
~ isnonempty_slb(create_slb),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
~ isnonempty_slb(create_slb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f237,plain,
~ spl6_3,
inference(avatar_split_clause,[],[f144,f234]) ).
fof(f234,plain,
( spl6_3
<=> isnonempty_pq(create_pq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f144,plain,
~ isnonempty_pq(create_pq),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
~ isnonempty_pq(create_pq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f232,plain,
spl6_2,
inference(avatar_split_clause,[],[f140,f229]) ).
fof(f229,plain,
( spl6_2
<=> phi(remove_cpq(triple(sK0,sK1,sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f140,plain,
phi(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f125]) ).
fof(f227,plain,
spl6_1,
inference(avatar_split_clause,[],[f139,f224]) ).
fof(f139,plain,
pi_remove(triple(sK0,sK1,sK2),sK3),
inference(cnf_transformation,[],[f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:55:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1049)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1052)WARNING: value z3 for option sas not known
% 0.14/0.38 % (1050)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (1054)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)
% 0.14/0.38 % (1053)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (1052)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)
% 0.14/0.38 % (1051)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (1055)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)
% 0.14/0.38 % (1056)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (1054)First to succeed.
% 0.14/0.40 % (1054)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1049"
% 0.14/0.40 TRYING [3]
% 0.14/0.40 % (1054)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (1054)------------------------------
% 0.14/0.41 % (1054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41 % (1054)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (1054)Memory used [KB]: 1260
% 0.14/0.41 % (1054)Time elapsed: 0.025 s
% 0.14/0.41 % (1054)Instructions burned: 35 (million)
% 0.14/0.41 % (1049)Success in time 0.042 s
%------------------------------------------------------------------------------