TSTP Solution File: SWV384+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV384+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 May 21 06:18:26 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 126
% Syntax : Number of formulae : 385 ( 94 unt; 0 def)
% Number of atoms : 1024 ( 175 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1065 ( 426 ~; 438 |; 76 &)
% ( 86 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 90 ( 88 usr; 80 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 15 con; 0-3 aty)
% Number of variables : 865 ( 811 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f661,plain,
$false,
inference(avatar_sat_refutation,[],[f176,f181,f186,f191,f200,f204,f208,f212,f216,f220,f224,f228,f232,f236,f240,f250,f254,f258,f262,f266,f270,f274,f278,f284,f288,f292,f296,f300,f304,f315,f324,f329,f334,f338,f347,f354,f358,f362,f368,f373,f377,f382,f392,f396,f404,f408,f412,f416,f420,f424,f441,f449,f453,f461,f468,f477,f481,f485,f495,f500,f505,f512,f521,f526,f531,f535,f543,f556,f561,f570,f574,f578,f582,f589,f593,f598,f602,f636,f651,f657,f660]) ).
fof(f660,plain,
( ~ spl13_1
| ~ spl13_2
| spl13_6
| ~ spl13_4
| ~ spl13_76 ),
inference(avatar_split_clause,[],[f637,f634,f188,f197,f178,f173]) ).
fof(f173,plain,
( spl13_1
<=> ok(triple(sK4,sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f178,plain,
( spl13_2
<=> check_cpq(triple(sK4,sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f197,plain,
( spl13_6
<=> ok(triple(sK1,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f188,plain,
( spl13_4
<=> succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f634,plain,
( spl13_76
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ check_cpq(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f637,plain,
( ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK4,sK5,sK6))
| ~ ok(triple(sK4,sK5,sK6))
| ~ spl13_4
| ~ spl13_76 ),
inference(resolution,[],[f635,f190]) ).
fof(f190,plain,
( succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f635,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) )
| ~ spl13_76 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f657,plain,
( spl13_78
| ~ spl13_19
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f330,f327,f252,f655]) ).
fof(f655,plain,
( spl13_78
<=> ! [X2,X0,X1] :
( succ_cpq(X2,triple(X0,create_slb,sK3))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f252,plain,
( spl13_19
<=> ! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f327,plain,
( spl13_34
<=> ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f330,plain,
( ! [X2,X0,X1] :
( succ_cpq(X2,triple(X0,create_slb,sK3))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) )
| ~ spl13_19
| ~ spl13_34 ),
inference(superposition,[],[f253,f328]) ).
fof(f328,plain,
( ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,sK3)
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f253,plain,
( ! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) )
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f651,plain,
( spl13_77
| ~ spl13_7
| ~ spl13_43 ),
inference(avatar_split_clause,[],[f622,f375,f202,f649]) ).
fof(f649,plain,
( spl13_77
<=> ! [X2,X0,X1] : triple(X0,create_slb,sK3) = remove_cpq(triple(X0,create_slb,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f202,plain,
( spl13_7
<=> ! [X0] : ~ contains_slb(create_slb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f375,plain,
( spl13_43
<=> ! [X0,X3,X2,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(X0,X1,sK3)
| contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f622,plain,
( ! [X2,X0,X1] : triple(X0,create_slb,sK3) = remove_cpq(triple(X0,create_slb,X1),X2)
| ~ spl13_7
| ~ spl13_43 ),
inference(resolution,[],[f376,f203]) ).
fof(f203,plain,
( ! [X0] : ~ contains_slb(create_slb,X0)
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f376,plain,
( ! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(X0,X1,sK3) )
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f636,plain,
( spl13_17
| spl13_76 ),
inference(avatar_split_clause,[],[f117,f634,f243]) ).
fof(f243,plain,
( spl13_17
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| sP0 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ( ok(triple(X0,X1,X2))
& check_cpq(triple(X0,X1,X2)) ) )
| sP0 ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ( ok(triple(X6,X7,X8))
& check_cpq(triple(X6,X7,X8)) ) )
| sP0 ),
inference(definition_folding,[],[f60,f90]) ).
fof(f90,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& check_cpq(im_succ_cpq(triple(X3,X4,X5)))
& ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f60,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ( ok(triple(X6,X7,X8))
& check_cpq(triple(X6,X7,X8)) ) )
| ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& check_cpq(im_succ_cpq(triple(X3,X4,X5)))
& ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ( ok(triple(X6,X7,X8))
& check_cpq(triple(X6,X7,X8)) ) )
| ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& check_cpq(im_succ_cpq(triple(X3,X4,X5)))
& ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
( ! [X0,X1,X2,X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
=> ( ~ ok(im_succ_cpq(triple(X3,X4,X5)))
| ~ check_cpq(im_succ_cpq(triple(X3,X4,X5))) ) ) )
=> ! [X6,X7,X8] :
( ( ~ ok(triple(X6,X7,X8))
| ~ check_cpq(triple(X6,X7,X8)) )
=> ! [X9,X10,X11] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
=> ( ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l20_induction) ).
fof(f602,plain,
( spl13_75
| ~ spl13_44
| ~ spl13_74 ),
inference(avatar_split_clause,[],[f594,f586,f380,f600]) ).
fof(f600,plain,
( spl13_75
<=> ! [X0] : triple(X0,create_slb,sK3) = triple(X0,create_slb,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f380,plain,
( spl13_44
<=> ! [X0] : triple(X0,create_slb,bad) = triple(X0,create_slb,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f586,plain,
( spl13_74
<=> bad = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f594,plain,
( ! [X0] : triple(X0,create_slb,sK3) = triple(X0,create_slb,sK12)
| ~ spl13_44
| ~ spl13_74 ),
inference(forward_demodulation,[],[f381,f588]) ).
fof(f588,plain,
( bad = sK12
| ~ spl13_74 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f381,plain,
( ! [X0] : triple(X0,create_slb,bad) = triple(X0,create_slb,sK3)
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f598,plain,
( spl13_32
| ~ spl13_24
| ~ spl13_42 ),
inference(avatar_split_clause,[],[f438,f371,f272,f312]) ).
fof(f312,plain,
( spl13_32
<=> bad = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f272,plain,
( spl13_24
<=> ! [X2,X0,X1] :
( bad = X2
| ok(triple(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f371,plain,
( spl13_42
<=> ! [X0,X1] : ~ ok(triple(X0,X1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f438,plain,
( bad = sK3
| ~ spl13_24
| ~ spl13_42 ),
inference(resolution,[],[f372,f273]) ).
fof(f273,plain,
( ! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 )
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f372,plain,
( ! [X0,X1] : ~ ok(triple(X0,X1,sK3))
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f593,plain,
( spl13_64
| ~ spl13_18
| ~ spl13_48
| ~ spl13_61 ),
inference(avatar_split_clause,[],[f506,f497,f406,f247,f518]) ).
fof(f518,plain,
( spl13_64
<=> ok(triple(sK10,sK11,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f247,plain,
( spl13_18
<=> check_cpq(im_succ_cpq(triple(sK10,sK11,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f406,plain,
( spl13_48
<=> ! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f497,plain,
( spl13_61
<=> ok(im_succ_cpq(triple(sK10,sK11,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f506,plain,
( ~ check_cpq(im_succ_cpq(triple(sK10,sK11,sK12)))
| ok(triple(sK10,sK11,sK12))
| ~ spl13_48
| ~ spl13_61 ),
inference(resolution,[],[f499,f407]) ).
fof(f407,plain,
( ! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) )
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f499,plain,
( ok(im_succ_cpq(triple(sK10,sK11,sK12)))
| ~ spl13_61 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f589,plain,
( spl13_74
| ~ spl13_24
| spl13_64 ),
inference(avatar_split_clause,[],[f522,f518,f272,f586]) ).
fof(f522,plain,
( bad = sK12
| ~ spl13_24
| spl13_64 ),
inference(resolution,[],[f520,f273]) ).
fof(f520,plain,
( ~ ok(triple(sK10,sK11,sK12))
| spl13_64 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f582,plain,
( spl13_63
| ~ spl13_18
| ~ spl13_47
| ~ spl13_61 ),
inference(avatar_split_clause,[],[f507,f497,f402,f247,f514]) ).
fof(f514,plain,
( spl13_63
<=> check_cpq(triple(sK10,sK11,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f402,plain,
( spl13_47
<=> ! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f507,plain,
( ~ check_cpq(im_succ_cpq(triple(sK10,sK11,sK12)))
| check_cpq(triple(sK10,sK11,sK12))
| ~ spl13_47
| ~ spl13_61 ),
inference(resolution,[],[f499,f403]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) )
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f578,plain,
( spl13_73
| ~ spl13_24
| ~ spl13_49 ),
inference(avatar_split_clause,[],[f432,f410,f272,f576]) ).
fof(f576,plain,
( spl13_73
<=> ! [X0,X3,X2,X1] :
( ok(insert_cpq(triple(X0,X2,X3),X1))
| bad = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f410,plain,
( spl13_49
<=> ! [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,[spl13_49])]) ).
fof(f432,plain,
( ! [X2,X3,X0,X1] :
( ok(insert_cpq(triple(X0,X2,X3),X1))
| bad = X3 )
| ~ spl13_24
| ~ spl13_49 ),
inference(superposition,[],[f273,f411]) ).
fof(f411,plain,
( ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2)
| ~ spl13_49 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f574,plain,
( spl13_72
| ~ spl13_58
| ~ spl13_68 ),
inference(avatar_split_clause,[],[f550,f541,f479,f572]) ).
fof(f572,plain,
( spl13_72
<=> ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(bottom,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f479,plain,
( spl13_58
<=> ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f541,plain,
( spl13_68
<=> ! [X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f550,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(bottom,X0) )
| ~ spl13_58
| ~ spl13_68 ),
inference(resolution,[],[f542,f480]) ).
fof(f480,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) )
| ~ spl13_58 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f542,plain,
( ! [X0,X1] :
( ~ less_than(X0,bottom)
| less_than(X0,X1) )
| ~ spl13_68 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f570,plain,
( spl13_71
| ~ spl13_38
| ~ spl13_49 ),
inference(avatar_split_clause,[],[f425,f410,f352,f568]) ).
fof(f568,plain,
( spl13_71
<=> ! [X0,X3,X2,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ strictly_less_than(X1,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f352,plain,
( spl13_38
<=> ! [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,[spl13_38])]) ).
fof(f425,plain,
( ! [X2,X3,X0,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ strictly_less_than(X1,bottom) )
| ~ spl13_38
| ~ spl13_49 ),
inference(superposition,[],[f353,f411]) ).
fof(f353,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) )
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f561,plain,
( spl13_70
| ~ spl13_15
| ~ spl13_29 ),
inference(avatar_split_clause,[],[f318,f294,f234,f559]) ).
fof(f559,plain,
( spl13_70
<=> ! [X2,X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| less_than(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f234,plain,
( spl13_15
<=> ! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f294,plain,
( spl13_29
<=> ! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f318,plain,
( ! [X2,X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| less_than(X1,X2) )
| ~ spl13_15
| ~ spl13_29 ),
inference(resolution,[],[f295,f235]) ).
fof(f235,plain,
( ! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ less_than(X1,X2)
| less_than(X0,X2)
| ~ less_than(X0,X1) )
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f556,plain,
( spl13_69
| ~ spl13_14
| ~ spl13_49 ),
inference(avatar_split_clause,[],[f426,f410,f230,f554]) ).
fof(f554,plain,
( spl13_69
<=> ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f230,plain,
( spl13_14
<=> ! [X0,X1] : ~ ok(triple(X0,X1,bad)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f426,plain,
( ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1))
| ~ spl13_14
| ~ spl13_49 ),
inference(superposition,[],[f231,f411]) ).
fof(f231,plain,
( ! [X0,X1] : ~ ok(triple(X0,X1,bad))
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f543,plain,
( spl13_68
| ~ spl13_9
| ~ spl13_29 ),
inference(avatar_split_clause,[],[f317,f294,f210,f541]) ).
fof(f210,plain,
( spl13_9
<=> ! [X0] : less_than(bottom,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f317,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,bottom) )
| ~ spl13_9
| ~ spl13_29 ),
inference(resolution,[],[f295,f211]) ).
fof(f211,plain,
( ! [X0] : less_than(bottom,X0)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f535,plain,
( spl13_67
| ~ spl13_24
| spl13_64
| ~ spl13_65 ),
inference(avatar_split_clause,[],[f527,f524,f518,f272,f533]) ).
fof(f533,plain,
( spl13_67
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),sK12)
| ~ 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,[spl13_67])]) ).
fof(f524,plain,
( spl13_65
<=> ! [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,[spl13_65])]) ).
fof(f527,plain,
( ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),sK12)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 )
| ~ spl13_24
| spl13_64
| ~ spl13_65 ),
inference(forward_demodulation,[],[f525,f522]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| 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 )
| ~ spl13_65 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f531,plain,
spl13_66,
inference(avatar_split_clause,[],[f150,f529]) ).
fof(f529,plain,
( spl13_66
<=> ! [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,[spl13_66])]) ).
fof(f150,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,[],[f83]) ).
fof(f83,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,[],[f82]) ).
fof(f82,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,[],[f51]) ).
fof(f51,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,[],[f37]) ).
fof(f37,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/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f526,plain,
spl13_65,
inference(avatar_split_clause,[],[f149,f524]) ).
fof(f149,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,[],[f81]) ).
fof(f81,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,[],[f80]) ).
fof(f80,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,[],[f50]) ).
fof(f50,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,[],[f36]) ).
fof(f36,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/sandbox2/benchmark/theBenchmark.p',ax48) ).
fof(f521,plain,
( ~ spl13_17
| ~ spl13_63
| ~ spl13_64 ),
inference(avatar_split_clause,[],[f113,f518,f514,f243]) ).
fof(f113,plain,
( ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12))
| ~ sP0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ok(im_succ_cpq(triple(sK10,sK11,sK12)))
& check_cpq(im_succ_cpq(triple(sK10,sK11,sK12)))
& ( ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12)) )
& succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12])],[f95,f96]) ).
fof(f96,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& check_cpq(im_succ_cpq(triple(X3,X4,X5)))
& ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
=> ( ok(im_succ_cpq(triple(sK10,sK11,sK12)))
& check_cpq(im_succ_cpq(triple(sK10,sK11,sK12)))
& ( ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12)) )
& succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ok(im_succ_cpq(triple(X3,X4,X5)))
& check_cpq(im_succ_cpq(triple(X3,X4,X5)))
& ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f90]) ).
fof(f512,plain,
( ~ spl13_17
| spl13_62 ),
inference(avatar_split_clause,[],[f112,f509,f243]) ).
fof(f509,plain,
( spl13_62
<=> succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f112,plain,
( succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ sP0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f505,plain,
( ~ spl13_1
| ~ spl13_2
| spl13_5
| ~ spl13_4
| ~ spl13_60 ),
inference(avatar_split_clause,[],[f501,f493,f188,f193,f178,f173]) ).
fof(f193,plain,
( spl13_5
<=> check_cpq(triple(sK1,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f493,plain,
( spl13_60
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ check_cpq(triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f501,plain,
( check_cpq(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK4,sK5,sK6))
| ~ ok(triple(sK4,sK5,sK6))
| ~ spl13_4
| ~ spl13_60 ),
inference(resolution,[],[f494,f190]) ).
fof(f494,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) )
| ~ spl13_60 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f500,plain,
( ~ spl13_17
| spl13_61 ),
inference(avatar_split_clause,[],[f115,f497,f243]) ).
fof(f115,plain,
( ok(im_succ_cpq(triple(sK10,sK11,sK12)))
| ~ sP0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f495,plain,
( spl13_17
| spl13_60 ),
inference(avatar_split_clause,[],[f116,f493,f243]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2))
| sP0 ),
inference(cnf_transformation,[],[f98]) ).
fof(f485,plain,
spl13_59,
inference(avatar_split_clause,[],[f152,f483]) ).
fof(f483,plain,
( spl13_59
<=> ! [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,[spl13_59])]) ).
fof(f152,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,[],[f87]) ).
fof(f87,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,[],[f86]) ).
fof(f86,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,[],[f32]) ).
fof(f32,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/sandbox2/benchmark/theBenchmark.p',ax44) ).
fof(f481,plain,
( spl13_58
| ~ spl13_15
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f310,f282,f234,f479]) ).
fof(f282,plain,
( spl13_26
<=> ! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f310,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) )
| ~ spl13_15
| ~ spl13_26 ),
inference(duplicate_literal_removal,[],[f307]) ).
fof(f307,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0)
| less_than(X0,X1) )
| ~ spl13_15
| ~ spl13_26 ),
inference(resolution,[],[f283,f235]) ).
fof(f283,plain,
( ! [X0,X1] :
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) )
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f477,plain,
spl13_57,
inference(avatar_split_clause,[],[f151,f475]) ).
fof(f475,plain,
( spl13_57
<=> ! [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,[spl13_57])]) ).
fof(f151,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,[],[f85]) ).
fof(f85,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,[],[f84]) ).
fof(f84,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,[],[f33]) ).
fof(f33,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/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f468,plain,
spl13_56,
inference(avatar_split_clause,[],[f147,f466]) ).
fof(f466,plain,
( spl13_56
<=> ! [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,[spl13_56])]) ).
fof(f147,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,[],[f77]) ).
fof(f77,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,[],[f76]) ).
fof(f76,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,[],[f13]) ).
fof(f13,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/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f461,plain,
spl13_55,
inference(avatar_split_clause,[],[f148,f459]) ).
fof(f459,plain,
( spl13_55
<=> ! [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,[spl13_55])]) ).
fof(f148,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,[],[f79]) ).
fof(f79,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,[],[f78]) ).
fof(f78,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,[],[f49]) ).
fof(f49,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,[],[f35]) ).
fof(f35,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/sandbox2/benchmark/theBenchmark.p',ax47) ).
fof(f453,plain,
spl13_54,
inference(avatar_split_clause,[],[f145,f451]) ).
fof(f451,plain,
( spl13_54
<=> ! [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,[spl13_54])]) ).
fof(f145,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,[],[f73]) ).
fof(f73,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,[],[f18]) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f449,plain,
spl13_53,
inference(avatar_split_clause,[],[f144,f447]) ).
fof(f447,plain,
( spl13_53
<=> ! [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,[spl13_53])]) ).
fof(f144,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,[],[f72]) ).
fof(f72,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,[],[f17]) ).
fof(f17,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/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f441,plain,
( ~ spl13_6
| ~ spl13_42 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl13_6
| ~ spl13_42 ),
inference(resolution,[],[f372,f198]) ).
fof(f198,plain,
( ok(triple(sK1,sK2,sK3))
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f424,plain,
spl13_52,
inference(avatar_split_clause,[],[f160,f422]) ).
fof(f422,plain,
( spl13_52
<=> ! [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,[spl13_52])]) ).
fof(f160,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,[],[f102]) ).
fof(f102,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,[],[f89]) ).
fof(f89,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,[],[f25]) ).
fof(f25,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/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f420,plain,
spl13_51,
inference(avatar_split_clause,[],[f159,f418]) ).
fof(f418,plain,
( spl13_51
<=> ! [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,[spl13_51])]) ).
fof(f159,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,[],[f102]) ).
fof(f416,plain,
spl13_50,
inference(avatar_split_clause,[],[f146,f414]) ).
fof(f414,plain,
( spl13_50
<=> ! [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,[spl13_50])]) ).
fof(f146,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,[],[f75]) ).
fof(f75,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,[],[f74]) ).
fof(f74,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,[],[f15]) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f412,plain,
spl13_49,
inference(avatar_split_clause,[],[f141,f410]) ).
fof(f141,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,[],[f30]) ).
fof(f30,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/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f408,plain,
spl13_48,
inference(avatar_split_clause,[],[f110,f406]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ( ok(triple(X0,X1,X2))
& check_cpq(triple(X0,X1,X2)) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ( ok(triple(X0,X1,X2))
& check_cpq(triple(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
=> ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_l13) ).
fof(f404,plain,
spl13_47,
inference(avatar_split_clause,[],[f109,f402]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f396,plain,
spl13_46,
inference(avatar_split_clause,[],[f162,f394]) ).
fof(f394,plain,
( spl13_46
<=> ! [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,[spl13_46])]) ).
fof(f162,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,[],[f104]) ).
fof(f104,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,[],[f103]) ).
fof(f103,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,[],[f11]) ).
fof(f11,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/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f392,plain,
spl13_45,
inference(avatar_split_clause,[],[f161,f390]) ).
fof(f390,plain,
( spl13_45
<=> ! [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,[spl13_45])]) ).
fof(f161,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,[],[f104]) ).
fof(f382,plain,
( spl13_44
| ~ spl13_33
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f378,f327,f322,f380]) ).
fof(f322,plain,
( spl13_33
<=> ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f378,plain,
( ! [X0] : triple(X0,create_slb,bad) = triple(X0,create_slb,sK3)
| ~ spl13_33
| ~ spl13_34 ),
inference(forward_demodulation,[],[f323,f328]) ).
fof(f323,plain,
( ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad)
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f377,plain,
( spl13_43
| ~ spl13_32
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f369,f366,f312,f375]) ).
fof(f366,plain,
( spl13_41
<=> ! [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,[spl13_41])]) ).
fof(f369,plain,
( ! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(X0,X1,sK3)
| contains_slb(X1,X3) )
| ~ spl13_32
| ~ spl13_41 ),
inference(forward_demodulation,[],[f367,f314]) ).
fof(f314,plain,
( bad = sK3
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f367,plain,
( ! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) )
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f373,plain,
( spl13_42
| ~ spl13_14
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f339,f312,f230,f371]) ).
fof(f339,plain,
( ! [X0,X1] : ~ ok(triple(X0,X1,sK3))
| ~ spl13_14
| ~ spl13_32 ),
inference(superposition,[],[f231,f314]) ).
fof(f368,plain,
spl13_41,
inference(avatar_split_clause,[],[f143,f366]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2,X3] :
( ~ contains_slb(X1,X3)
=> triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
fof(f362,plain,
spl13_40,
inference(avatar_split_clause,[],[f155,f360]) ).
fof(f360,plain,
( spl13_40
<=> ! [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,[spl13_40])]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,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,[],[f100]) ).
fof(f100,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,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f358,plain,
spl13_39,
inference(avatar_split_clause,[],[f163,f356]) ).
fof(f356,plain,
( spl13_39
<=> ! [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,[spl13_39])]) ).
fof(f163,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,[],[f104]) ).
fof(f354,plain,
spl13_38,
inference(avatar_split_clause,[],[f158,f352]) ).
fof(f158,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,[],[f88]) ).
fof(f88,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,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(flattening,[],[f52]) ).
fof(f52,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,[],[f26]) ).
fof(f26,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/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f347,plain,
spl13_37,
inference(avatar_split_clause,[],[f168,f345]) ).
fof(f345,plain,
( spl13_37
<=> ! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f168,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(definition_unfolding,[],[f142,f123]) ).
fof(f123,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f142,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f338,plain,
spl13_36,
inference(avatar_split_clause,[],[f167,f336]) ).
fof(f336,plain,
( spl13_36
<=> ! [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,[spl13_36])]) ).
fof(f167,plain,
! [X0,X1] :
( succ_cpq(X0,remove_cpq(findmin_cpq_eff(X1),removemin_cpq_res(X1)))
| ~ succ_cpq(X0,X1) ),
inference(definition_unfolding,[],[f130,f165]) ).
fof(f165,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),removemin_cpq_res(X0)),
inference(definition_unfolding,[],[f124,f123]) ).
fof(f124,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f130,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,removemin_cpq_eff(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
fof(f334,plain,
spl13_35,
inference(avatar_split_clause,[],[f156,f332]) ).
fof(f332,plain,
( spl13_35
<=> ! [X0,X3,X2,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f329,plain,
( spl13_34
| ~ spl13_32
| ~ spl13_33 ),
inference(avatar_split_clause,[],[f325,f322,f312,f327]) ).
fof(f325,plain,
( ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,sK3)
| ~ spl13_32
| ~ spl13_33 ),
inference(forward_demodulation,[],[f323,f314]) ).
fof(f324,plain,
spl13_33,
inference(avatar_split_clause,[],[f128,f322]) ).
fof(f128,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f315,plain,
( spl13_32
| spl13_6
| ~ spl13_24 ),
inference(avatar_split_clause,[],[f279,f272,f197,f312]) ).
fof(f279,plain,
( bad = sK3
| spl13_6
| ~ spl13_24 ),
inference(resolution,[],[f273,f199]) ).
fof(f199,plain,
( ~ ok(triple(sK1,sK2,sK3))
| spl13_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f304,plain,
spl13_31,
inference(avatar_split_clause,[],[f154,f302]) ).
fof(f302,plain,
( spl13_31
<=> ! [X0,X3,X2,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,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,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f300,plain,
spl13_30,
inference(avatar_split_clause,[],[f153,f298]) ).
fof(f298,plain,
( spl13_30
<=> ! [X2,X0,X1,X3] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f296,plain,
spl13_29,
inference(avatar_split_clause,[],[f140,f294]) ).
fof(f140,plain,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f68,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/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f292,plain,
spl13_28,
inference(avatar_split_clause,[],[f136,f290]) ).
fof(f290,plain,
( spl13_28
<=> ! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f136,plain,
! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f288,plain,
spl13_27,
inference(avatar_split_clause,[],[f135,f286]) ).
fof(f286,plain,
( spl13_27
<=> ! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f135,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f284,plain,
spl13_26,
inference(avatar_split_clause,[],[f132,f282]) ).
fof(f132,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,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/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f278,plain,
spl13_25,
inference(avatar_split_clause,[],[f171,f276]) ).
fof(f276,plain,
( spl13_25
<=> ! [X4,X0,X2] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f171,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X2,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4)
| X1 != X2 ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 != X4
| X1 != X2 ),
inference(cnf_transformation,[],[f104]) ).
fof(f274,plain,
spl13_24,
inference(avatar_split_clause,[],[f139,f272]) ).
fof(f139,plain,
! [X2,X0,X1] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f270,plain,
spl13_23,
inference(avatar_split_clause,[],[f138,f268]) ).
fof(f268,plain,
( spl13_23
<=> ! [X2,X0,X1] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f138,plain,
! [X2,X0,X1] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,remove_cpq(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
fof(f266,plain,
spl13_22,
inference(avatar_split_clause,[],[f137,f264]) ).
fof(f264,plain,
( spl13_22
<=> ! [X2,X0,X1] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f137,plain,
! [X2,X0,X1] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,insert_cpq(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
fof(f262,plain,
spl13_21,
inference(avatar_split_clause,[],[f169,f260]) ).
fof(f260,plain,
( spl13_21
<=> ! [X2,X0,X3] : contains_slb(insert_slb(X0,pair(X2,X3)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f169,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f258,plain,
spl13_20,
inference(avatar_split_clause,[],[f166,f256]) ).
fof(f256,plain,
( spl13_20
<=> ! [X0,X1] : bottom = removemin_cpq_res(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f166,plain,
! [X0,X1] : bottom = removemin_cpq_res(triple(X0,create_slb,X1)),
inference(definition_unfolding,[],[f127,f123]) ).
fof(f127,plain,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(f254,plain,
spl13_19,
inference(avatar_split_clause,[],[f131,f252]) ).
fof(f131,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,findmin_cpq_eff(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
fof(f250,plain,
( ~ spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f114,f247,f243]) ).
fof(f114,plain,
( check_cpq(im_succ_cpq(triple(sK10,sK11,sK12)))
| ~ sP0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f240,plain,
spl13_16,
inference(avatar_split_clause,[],[f134,f238]) ).
fof(f238,plain,
( spl13_16
<=> ! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f134,plain,
! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f236,plain,
spl13_15,
inference(avatar_split_clause,[],[f129,f234]) ).
fof(f129,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/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f232,plain,
spl13_14,
inference(avatar_split_clause,[],[f133,f230]) ).
fof(f133,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f228,plain,
spl13_13,
inference(avatar_split_clause,[],[f126,f226]) ).
fof(f226,plain,
( spl13_13
<=> ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f126,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f224,plain,
spl13_12,
inference(avatar_split_clause,[],[f122,f222]) ).
fof(f222,plain,
( spl13_12
<=> ! [X0] : create_slb = update_slb(create_slb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f122,plain,
! [X0] : create_slb = update_slb(create_slb,X0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : create_slb = update_slb(create_slb,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f220,plain,
spl13_11,
inference(avatar_split_clause,[],[f125,f218]) ).
fof(f218,plain,
( spl13_11
<=> ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f125,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f216,plain,
spl13_10,
inference(avatar_split_clause,[],[f121,f214]) ).
fof(f214,plain,
( spl13_10
<=> ! [X0] : succ_cpq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f121,plain,
! [X0] : succ_cpq(X0,X0),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : succ_cpq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
fof(f212,plain,
spl13_9,
inference(avatar_split_clause,[],[f120,f210]) ).
fof(f120,plain,
! [X0] : less_than(bottom,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] : less_than(bottom,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bottom_smallest) ).
fof(f208,plain,
spl13_8,
inference(avatar_split_clause,[],[f119,f206]) ).
fof(f206,plain,
( spl13_8
<=> ! [X0] : less_than(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f119,plain,
! [X0] : less_than(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : less_than(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f204,plain,
spl13_7,
inference(avatar_split_clause,[],[f118,f202]) ).
fof(f118,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f200,plain,
( ~ spl13_5
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f105,f197,f193]) ).
fof(f105,plain,
( ~ ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( check_cpq(triple(sK4,sK5,sK6))
& ok(triple(sK4,sK5,sK6))
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6))
& ( ~ ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK1,sK2,sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f56,f93,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2] :
( ? [X3,X4,X5] :
( check_cpq(triple(X3,X4,X5))
& ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) ) )
=> ( ? [X5,X4,X3] :
( check_cpq(triple(X3,X4,X5))
& ok(triple(X3,X4,X5))
& succ_cpq(triple(sK1,sK2,sK3),triple(X3,X4,X5)) )
& ( ~ ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK1,sK2,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X5,X4,X3] :
( check_cpq(triple(X3,X4,X5))
& ok(triple(X3,X4,X5))
& succ_cpq(triple(sK1,sK2,sK3),triple(X3,X4,X5)) )
=> ( check_cpq(triple(sK4,sK5,sK6))
& ok(triple(sK4,sK5,sK6))
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( check_cpq(triple(X3,X4,X5))
& ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( check_cpq(triple(X3,X4,X5))
& ok(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l20_co) ).
fof(f191,plain,
spl13_4,
inference(avatar_split_clause,[],[f106,f188]) ).
fof(f106,plain,
succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)),
inference(cnf_transformation,[],[f94]) ).
fof(f186,plain,
~ spl13_3,
inference(avatar_split_clause,[],[f111,f183]) ).
fof(f183,plain,
( spl13_3
<=> isnonempty_slb(create_slb) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f111,plain,
~ isnonempty_slb(create_slb),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
~ isnonempty_slb(create_slb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f181,plain,
spl13_2,
inference(avatar_split_clause,[],[f108,f178]) ).
fof(f108,plain,
check_cpq(triple(sK4,sK5,sK6)),
inference(cnf_transformation,[],[f94]) ).
fof(f176,plain,
spl13_1,
inference(avatar_split_clause,[],[f107,f173]) ).
fof(f107,plain,
ok(triple(sK4,sK5,sK6)),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV384+1 : TPTP v8.2.0. Released v3.3.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.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 : Sun May 19 06:27:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7775)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (7778)WARNING: value z3 for option sas not known
% 0.14/0.37 % (7779)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (7776)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (7778)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)
% 0.14/0.37 % (7780)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)
% 0.14/0.37 % (7782)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)
% 0.14/0.38 % (7777)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 % (7781)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 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.20/0.39 % (7780)First to succeed.
% 0.20/0.39 % (7780)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7775"
% 0.20/0.39 % (7780)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (7780)------------------------------
% 0.20/0.40 % (7780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.40 % (7780)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (7780)Memory used [KB]: 1112
% 0.20/0.40 % (7780)Time elapsed: 0.024 s
% 0.20/0.40 % (7780)Instructions burned: 34 (million)
% 0.20/0.40 % (7775)Success in time 0.031 s
%------------------------------------------------------------------------------