TSTP Solution File: SWC412+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC412+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 04:38:48 EDT 2024
% Result : Theorem 0.82s 0.80s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 219 ( 13 unt; 0 def)
% Number of atoms : 874 ( 109 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 1173 ( 518 ~; 557 |; 43 &)
% ( 22 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 36 ( 34 usr; 23 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 181 ( 150 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f847,plain,
$false,
inference(avatar_sat_refutation,[],[f582,f587,f592,f593,f598,f599,f604,f605,f609,f621,f626,f631,f633,f635,f636,f637,f645,f652,f665,f670,f681,f682,f683,f684,f694,f699,f704,f705,f706,f714,f718,f722,f728,f729,f735,f736,f760,f764,f771,f776,f786,f793,f798,f810,f822,f834,f846]) ).
fof(f846,plain,
( ~ spl91_2
| ~ spl91_4
| ~ spl91_7
| ~ spl91_11
| ~ spl91_12 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| ~ spl91_2
| ~ spl91_4
| ~ spl91_7
| ~ spl91_11
| ~ spl91_12 ),
inference(subsumption_resolution,[],[f844,f591]) ).
fof(f591,plain,
( ssItem(sK54)
| ~ spl91_4 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl91_4
<=> ssItem(sK54) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_4])]) ).
fof(f844,plain,
( ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_7
| ~ spl91_11
| ~ spl91_12 ),
inference(subsumption_resolution,[],[f843,f630]) ).
fof(f630,plain,
( ssList(sK57)
| ~ spl91_12 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f628,plain,
( spl91_12
<=> ssList(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_12])]) ).
fof(f843,plain,
( ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_7
| ~ spl91_11 ),
inference(subsumption_resolution,[],[f842,f581]) ).
fof(f581,plain,
( ssItem(sK51)
| ~ spl91_2 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f579,plain,
( spl91_2
<=> ssItem(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_2])]) ).
fof(f842,plain,
( ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_7
| ~ spl91_11 ),
inference(subsumption_resolution,[],[f836,f512]) ).
fof(f512,plain,
~ sP71(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP71])]) ).
fof(f836,plain,
( sP71(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_7
| ~ spl91_11 ),
inference(superposition,[],[f608,f625]) ).
fof(f625,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ~ spl91_11 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f623,plain,
( spl91_11
<=> sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_11])]) ).
fof(f608,plain,
( ! [X18,X16,X17] :
( sP71(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssItem(X16)
| ~ ssList(X18)
| ~ ssItem(X17) )
| ~ spl91_7 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f607,plain,
( spl91_7
<=> ! [X18,X16,X17] :
( ~ ssItem(X16)
| sP71(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssList(X18)
| ~ ssItem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_7])]) ).
fof(f834,plain,
( ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_29 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_29 ),
inference(subsumption_resolution,[],[f832,f591]) ).
fof(f832,plain,
( ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_12
| ~ spl91_29 ),
inference(subsumption_resolution,[],[f831,f630]) ).
fof(f831,plain,
( ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_29 ),
inference(subsumption_resolution,[],[f830,f581]) ).
fof(f830,plain,
( ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_29 ),
inference(subsumption_resolution,[],[f824,f542]) ).
fof(f542,plain,
~ sP87(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP87])]) ).
fof(f824,plain,
( sP87(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_29 ),
inference(superposition,[],[f717,f625]) ).
fof(f717,plain,
( ! [X18,X16,X17] :
( sP87(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssItem(X16)
| ~ ssList(X18)
| ~ ssItem(X17) )
| ~ spl91_29 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl91_29
<=> ! [X18,X16,X17] :
( ~ ssItem(X16)
| sP87(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssList(X18)
| ~ ssItem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_29])]) ).
fof(f822,plain,
( ~ spl91_2
| ~ spl91_4
| ~ spl91_10
| ~ spl91_11
| ~ spl91_12 ),
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f821,plain,
( $false
| ~ spl91_2
| ~ spl91_4
| ~ spl91_10
| ~ spl91_11
| ~ spl91_12 ),
inference(subsumption_resolution,[],[f820,f591]) ).
fof(f820,plain,
( ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_10
| ~ spl91_11
| ~ spl91_12 ),
inference(subsumption_resolution,[],[f819,f630]) ).
fof(f819,plain,
( ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_10
| ~ spl91_11 ),
inference(subsumption_resolution,[],[f818,f581]) ).
fof(f818,plain,
( ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_10
| ~ spl91_11 ),
inference(subsumption_resolution,[],[f812,f518]) ).
fof(f518,plain,
~ sP74(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP74])]) ).
fof(f812,plain,
( sP74(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_10
| ~ spl91_11 ),
inference(superposition,[],[f620,f625]) ).
fof(f620,plain,
( ! [X18,X16,X17] :
( sP74(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssItem(X16)
| ~ ssList(X18)
| ~ ssItem(X17) )
| ~ spl91_10 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f619,plain,
( spl91_10
<=> ! [X18,X16,X17] :
( ~ ssItem(X16)
| sP74(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssList(X18)
| ~ ssItem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_10])]) ).
fof(f810,plain,
( ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_30 ),
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f809,plain,
( $false
| ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_30 ),
inference(subsumption_resolution,[],[f808,f591]) ).
fof(f808,plain,
( ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_12
| ~ spl91_30 ),
inference(subsumption_resolution,[],[f807,f630]) ).
fof(f807,plain,
( ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_30 ),
inference(subsumption_resolution,[],[f806,f581]) ).
fof(f806,plain,
( ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_30 ),
inference(subsumption_resolution,[],[f800,f544]) ).
fof(f544,plain,
~ sP88(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP88])]) ).
fof(f800,plain,
( sP88(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_30 ),
inference(superposition,[],[f721,f625]) ).
fof(f721,plain,
( ! [X18,X16,X17] :
( sP88(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssItem(X16)
| ~ ssList(X18)
| ~ ssItem(X17) )
| ~ spl91_30 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f720,plain,
( spl91_30
<=> ! [X18,X16,X17] :
( ~ ssItem(X16)
| sP88(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssList(X18)
| ~ ssItem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_30])]) ).
fof(f798,plain,
( ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_16 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f797,plain,
( $false
| ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_16 ),
inference(subsumption_resolution,[],[f796,f591]) ).
fof(f796,plain,
( ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_12
| ~ spl91_16 ),
inference(subsumption_resolution,[],[f795,f630]) ).
fof(f795,plain,
( ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_16 ),
inference(subsumption_resolution,[],[f794,f581]) ).
fof(f794,plain,
( ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_16 ),
inference(subsumption_resolution,[],[f788,f524]) ).
fof(f524,plain,
~ sP77(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP77])]) ).
fof(f788,plain,
( sP77(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_16 ),
inference(superposition,[],[f651,f625]) ).
fof(f651,plain,
( ! [X18,X16,X17] :
( sP77(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssItem(X16)
| ~ ssList(X18)
| ~ ssItem(X17) )
| ~ spl91_16 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl91_16
<=> ! [X18,X16,X17] :
( ~ ssItem(X16)
| sP77(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssList(X18)
| ~ ssItem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_16])]) ).
fof(f793,plain,
( ~ spl91_1
| ~ spl91_5
| ~ spl91_16
| ~ spl91_19
| ~ spl91_20 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f792,plain,
( $false
| ~ spl91_1
| ~ spl91_5
| ~ spl91_16
| ~ spl91_19
| ~ spl91_20 ),
inference(subsumption_resolution,[],[f791,f597]) ).
fof(f597,plain,
( ssItem(sK55)
| ~ spl91_5 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f595,plain,
( spl91_5
<=> ssItem(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_5])]) ).
fof(f791,plain,
( ~ ssItem(sK55)
| ~ spl91_1
| ~ spl91_16
| ~ spl91_19
| ~ spl91_20 ),
inference(subsumption_resolution,[],[f790,f669]) ).
fof(f669,plain,
( ssList(sK58)
| ~ spl91_20 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl91_20
<=> ssList(sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_20])]) ).
fof(f790,plain,
( ~ ssList(sK58)
| ~ ssItem(sK55)
| ~ spl91_1
| ~ spl91_16
| ~ spl91_19 ),
inference(subsumption_resolution,[],[f789,f577]) ).
fof(f577,plain,
( ssItem(sK52)
| ~ spl91_1 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f575,plain,
( spl91_1
<=> ssItem(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_1])]) ).
fof(f789,plain,
( ~ ssItem(sK52)
| ~ ssList(sK58)
| ~ ssItem(sK55)
| ~ spl91_16
| ~ spl91_19 ),
inference(subsumption_resolution,[],[f787,f524]) ).
fof(f787,plain,
( sP77(sK50)
| ~ ssItem(sK52)
| ~ ssList(sK58)
| ~ ssItem(sK55)
| ~ spl91_16
| ~ spl91_19 ),
inference(superposition,[],[f651,f664]) ).
fof(f664,plain,
( sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58)
| ~ spl91_19 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f662,plain,
( spl91_19
<=> sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_19])]) ).
fof(f786,plain,
( ~ spl91_3
| ~ spl91_6
| ~ spl91_15
| ~ spl91_24
| ~ spl91_25
| ~ spl91_27 ),
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f785,plain,
( $false
| ~ spl91_3
| ~ spl91_6
| ~ spl91_15
| ~ spl91_24
| ~ spl91_25
| ~ spl91_27 ),
inference(subsumption_resolution,[],[f781,f710]) ).
fof(f710,plain,
( sP86(app(app(cons(sK56,nil),sK59),cons(sK53,nil)))
| ~ spl91_27 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl91_27
<=> sP86(app(app(cons(sK56,nil),sK59),cons(sK53,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_27])]) ).
fof(f781,plain,
( ~ sP86(app(app(cons(sK56,nil),sK59),cons(sK53,nil)))
| ~ spl91_3
| ~ spl91_6
| ~ spl91_15
| ~ spl91_24
| ~ spl91_25 ),
inference(superposition,[],[f540,f780]) ).
fof(f780,plain,
( sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_3
| ~ spl91_6
| ~ spl91_15
| ~ spl91_24
| ~ spl91_25 ),
inference(subsumption_resolution,[],[f779,f603]) ).
fof(f603,plain,
( ssItem(sK56)
| ~ spl91_6 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl91_6
<=> ssItem(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_6])]) ).
fof(f779,plain,
( ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_3
| ~ spl91_15
| ~ spl91_24
| ~ spl91_25 ),
inference(subsumption_resolution,[],[f778,f698]) ).
fof(f698,plain,
( ssList(sK59)
| ~ spl91_25 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl91_25
<=> ssList(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_25])]) ).
fof(f778,plain,
( ~ ssList(sK59)
| ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_3
| ~ spl91_15
| ~ spl91_24 ),
inference(subsumption_resolution,[],[f777,f586]) ).
fof(f586,plain,
( ssItem(sK53)
| ~ spl91_3 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl91_3
<=> ssItem(sK53) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_3])]) ).
fof(f777,plain,
( ~ ssItem(sK53)
| ~ ssList(sK59)
| ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_15
| ~ spl91_24 ),
inference(subsumption_resolution,[],[f754,f525]) ).
fof(f525,plain,
~ sP78(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP78])]) ).
fof(f754,plain,
( sP78(sK50)
| ~ ssItem(sK53)
| ~ ssList(sK59)
| ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_15
| ~ spl91_24 ),
inference(superposition,[],[f648,f693]) ).
fof(f693,plain,
( sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil))
| ~ spl91_24 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl91_24
<=> sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_24])]) ).
fof(f648,plain,
( ! [X10,X11,X12] :
( sP78(app(app(cons(X10,nil),X12),cons(X11,nil)))
| ~ ssItem(X10)
| ~ ssList(X12)
| ~ ssItem(X11)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49 )
| ~ spl91_15 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl91_15
<=> ! [X12,X11,X10] :
( ~ ssItem(X10)
| sP78(app(app(cons(X10,nil),X12),cons(X11,nil)))
| ~ ssList(X12)
| ~ ssItem(X11)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_15])]) ).
fof(f540,plain,
~ sP86(sK49),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP86])]) ).
fof(f776,plain,
( ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_28 ),
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f775,plain,
( $false
| ~ spl91_2
| ~ spl91_4
| ~ spl91_11
| ~ spl91_12
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f774,f591]) ).
fof(f774,plain,
( ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_12
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f773,f630]) ).
fof(f773,plain,
( ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_2
| ~ spl91_11
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f772,f581]) ).
fof(f772,plain,
( ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f766,f539]) ).
fof(f539,plain,
~ sP85(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP85])]) ).
fof(f766,plain,
( sP85(sK50)
| ~ ssItem(sK51)
| ~ ssList(sK57)
| ~ ssItem(sK54)
| ~ spl91_11
| ~ spl91_28 ),
inference(superposition,[],[f713,f625]) ).
fof(f713,plain,
( ! [X18,X16,X17] :
( sP85(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssItem(X16)
| ~ ssList(X18)
| ~ ssItem(X17) )
| ~ spl91_28 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f712,plain,
( spl91_28
<=> ! [X18,X16,X17] :
( ~ ssItem(X16)
| sP85(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssList(X18)
| ~ ssItem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_28])]) ).
fof(f771,plain,
( ~ spl91_1
| ~ spl91_5
| ~ spl91_19
| ~ spl91_20
| ~ spl91_28 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f770,plain,
( $false
| ~ spl91_1
| ~ spl91_5
| ~ spl91_19
| ~ spl91_20
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f769,f597]) ).
fof(f769,plain,
( ~ ssItem(sK55)
| ~ spl91_1
| ~ spl91_19
| ~ spl91_20
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f768,f669]) ).
fof(f768,plain,
( ~ ssList(sK58)
| ~ ssItem(sK55)
| ~ spl91_1
| ~ spl91_19
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f767,f577]) ).
fof(f767,plain,
( ~ ssItem(sK52)
| ~ ssList(sK58)
| ~ ssItem(sK55)
| ~ spl91_19
| ~ spl91_28 ),
inference(subsumption_resolution,[],[f765,f539]) ).
fof(f765,plain,
( sP85(sK50)
| ~ ssItem(sK52)
| ~ ssList(sK58)
| ~ ssItem(sK55)
| ~ spl91_19
| ~ spl91_28 ),
inference(superposition,[],[f713,f664]) ).
fof(f764,plain,
( ~ spl91_27
| ~ spl91_3
| ~ spl91_6
| ~ spl91_14
| ~ spl91_24
| ~ spl91_25 ),
inference(avatar_split_clause,[],[f761,f696,f691,f643,f601,f584,f708]) ).
fof(f643,plain,
( spl91_14
<=> ! [X12,X11,X10] :
( ~ ssItem(X10)
| sP76(app(app(cons(X10,nil),X12),cons(X11,nil)))
| ~ ssList(X12)
| ~ ssItem(X11)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_14])]) ).
fof(f761,plain,
( ~ sP86(app(app(cons(sK56,nil),sK59),cons(sK53,nil)))
| ~ spl91_3
| ~ spl91_6
| ~ spl91_14
| ~ spl91_24
| ~ spl91_25 ),
inference(superposition,[],[f540,f752]) ).
fof(f752,plain,
( sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_3
| ~ spl91_6
| ~ spl91_14
| ~ spl91_24
| ~ spl91_25 ),
inference(subsumption_resolution,[],[f751,f603]) ).
fof(f751,plain,
( ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_3
| ~ spl91_14
| ~ spl91_24
| ~ spl91_25 ),
inference(subsumption_resolution,[],[f750,f698]) ).
fof(f750,plain,
( ~ ssList(sK59)
| ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_3
| ~ spl91_14
| ~ spl91_24 ),
inference(subsumption_resolution,[],[f749,f586]) ).
fof(f749,plain,
( ~ ssItem(sK53)
| ~ ssList(sK59)
| ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_14
| ~ spl91_24 ),
inference(subsumption_resolution,[],[f748,f522]) ).
fof(f522,plain,
~ sP76(sK50),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP76])]) ).
fof(f748,plain,
( sP76(sK50)
| ~ ssItem(sK53)
| ~ ssList(sK59)
| ~ ssItem(sK56)
| sK49 = app(app(cons(sK56,nil),sK59),cons(sK53,nil))
| ~ spl91_14
| ~ spl91_24 ),
inference(superposition,[],[f644,f693]) ).
fof(f644,plain,
( ! [X10,X11,X12] :
( sP76(app(app(cons(X10,nil),X12),cons(X11,nil)))
| ~ ssItem(X10)
| ~ ssList(X12)
| ~ ssItem(X11)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49 )
| ~ spl91_14 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f760,plain,
( ~ spl91_26
| ~ spl91_3
| ~ spl91_6
| ~ spl91_14
| ~ spl91_24
| ~ spl91_25 ),
inference(avatar_split_clause,[],[f757,f696,f691,f643,f601,f584,f701]) ).
fof(f701,plain,
( spl91_26
<=> sP84(app(app(cons(sK56,nil),sK59),cons(sK53,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_26])]) ).
fof(f757,plain,
( ~ sP84(app(app(cons(sK56,nil),sK59),cons(sK53,nil)))
| ~ spl91_3
| ~ spl91_6
| ~ spl91_14
| ~ spl91_24
| ~ spl91_25 ),
inference(superposition,[],[f537,f752]) ).
fof(f537,plain,
~ sP84(sK49),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP84])]) ).
fof(f736,plain,
( spl91_25
| spl91_4 ),
inference(avatar_split_clause,[],[f411,f589,f696]) ).
fof(f411,plain,
( ssItem(sK54)
| ssList(sK59) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X5,nil),X6),cons(X4,nil)) != X0
& app(app(cons(X4,nil),X6),cons(X5,nil)) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X7] :
( ? [X8] :
( ? [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) = X1
& ssList(X9) )
& ssItem(X8) )
& ssItem(X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) != X3
| app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
| ~ ssList(X12) )
| ~ ssItem(X11) )
| ~ ssItem(X10) ) )
| ( ? [X13] :
( ? [X14] :
( ? [X15] :
( app(app(cons(X13,nil),cons(X14,nil)),X15) = X1
& ssList(X15) )
& ssItem(X14) )
& ssItem(X13) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) != X3
| ~ ssList(X18) )
| ~ ssItem(X17) )
| ~ ssItem(X16) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( app(app(cons(X5,nil),X6),cons(X4,nil)) = X0
| app(app(cons(X4,nil),X6),cons(X5,nil)) != X1
| ~ ssList(X6) ) ) )
| ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
& app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
& ssList(X12) )
& ssItem(X11) )
& ssItem(X10) ) )
& ( ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
| ? [X16] :
( ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& ssList(X18) )
& ssItem(X17) )
& ssItem(X16) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssItem(X17)
=> ! [X18] :
( app(app(cons(X17,nil),X18),cons(X16,nil)) = X0
| app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
| ~ ssList(X18) ) ) )
| ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
& app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
& ssList(X12) )
& ssItem(X11) )
& ssItem(X10) ) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X3
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssItem(X17)
=> ! [X18] :
( app(app(cons(X17,nil),X18),cons(X16,nil)) = X0
| app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
| ~ ssList(X18) ) ) )
| ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
& app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
& ssList(X12) )
& ssItem(X11) )
& ssItem(X10) ) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X3
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f735,plain,
( spl91_24
| spl91_4 ),
inference(avatar_split_clause,[],[f490,f589,f691]) ).
fof(f490,plain,
( ssItem(sK54)
| sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(definition_unfolding,[],[f412,f462]) ).
fof(f462,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
( ssItem(sK54)
| sK48 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f729,plain,
( spl91_25
| spl91_2 ),
inference(avatar_split_clause,[],[f414,f579,f696]) ).
fof(f414,plain,
( ssItem(sK51)
| ssList(sK59) ),
inference(cnf_transformation,[],[f222]) ).
fof(f728,plain,
( spl91_24
| spl91_2 ),
inference(avatar_split_clause,[],[f488,f579,f691]) ).
fof(f488,plain,
( ssItem(sK51)
| sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(definition_unfolding,[],[f415,f462]) ).
fof(f415,plain,
( ssItem(sK51)
| sK48 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f722,plain,
( spl91_25
| spl91_30 ),
inference(avatar_split_clause,[],[f545,f720,f696]) ).
fof(f545,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| sP88(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ssList(sK59) ),
inference(inequality_splitting,[],[f417,f544]) ).
fof(f417,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| ssList(sK59) ),
inference(cnf_transformation,[],[f222]) ).
fof(f718,plain,
( spl91_24
| spl91_29 ),
inference(avatar_split_clause,[],[f543,f716,f691]) ).
fof(f543,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| sP87(app(app(cons(X16,nil),cons(X17,nil)),X18))
| sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(inequality_splitting,[],[f486,f542]) ).
fof(f486,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(definition_unfolding,[],[f418,f462]) ).
fof(f418,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| sK48 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f714,plain,
( spl91_27
| spl91_28 ),
inference(avatar_split_clause,[],[f541,f712,f708]) ).
fof(f541,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| sP85(app(app(cons(X16,nil),cons(X17,nil)),X18))
| sP86(app(app(cons(sK56,nil),sK59),cons(sK53,nil))) ),
inference(inequality_splitting,[],[f485,f540,f539]) ).
fof(f485,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| sK49 != app(app(cons(sK56,nil),sK59),cons(sK53,nil)) ),
inference(definition_unfolding,[],[f419,f463]) ).
fof(f463,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| sK47 != app(app(cons(sK56,nil),sK59),cons(sK53,nil)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f706,plain,
( spl91_25
| spl91_11 ),
inference(avatar_split_clause,[],[f484,f623,f696]) ).
fof(f484,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssList(sK59) ),
inference(definition_unfolding,[],[f420,f462]) ).
fof(f420,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssList(sK59) ),
inference(cnf_transformation,[],[f222]) ).
fof(f705,plain,
( spl91_24
| spl91_11 ),
inference(avatar_split_clause,[],[f483,f623,f691]) ).
fof(f483,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(definition_unfolding,[],[f421,f462,f462]) ).
fof(f421,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK48 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f704,plain,
( spl91_26
| spl91_11 ),
inference(avatar_split_clause,[],[f538,f623,f701]) ).
fof(f538,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sP84(app(app(cons(sK56,nil),sK59),cons(sK53,nil))) ),
inference(inequality_splitting,[],[f482,f537]) ).
fof(f482,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK49 != app(app(cons(sK56,nil),sK59),cons(sK53,nil)) ),
inference(definition_unfolding,[],[f422,f462,f463]) ).
fof(f422,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK47 != app(app(cons(sK56,nil),sK59),cons(sK53,nil)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f699,plain,
( spl91_25
| spl91_12 ),
inference(avatar_split_clause,[],[f423,f628,f696]) ).
fof(f423,plain,
( ssList(sK57)
| ssList(sK59) ),
inference(cnf_transformation,[],[f222]) ).
fof(f694,plain,
( spl91_24
| spl91_12 ),
inference(avatar_split_clause,[],[f481,f628,f691]) ).
fof(f481,plain,
( ssList(sK57)
| sK50 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(definition_unfolding,[],[f424,f462]) ).
fof(f424,plain,
( ssList(sK57)
| sK48 = app(app(cons(sK53,nil),sK59),cons(sK56,nil)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f684,plain,
( spl91_20
| spl91_4 ),
inference(avatar_split_clause,[],[f426,f589,f667]) ).
fof(f426,plain,
( ssItem(sK54)
| ssList(sK58) ),
inference(cnf_transformation,[],[f222]) ).
fof(f683,plain,
( spl91_19
| spl91_4 ),
inference(avatar_split_clause,[],[f479,f589,f662]) ).
fof(f479,plain,
( ssItem(sK54)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(definition_unfolding,[],[f427,f462]) ).
fof(f427,plain,
( ssItem(sK54)
| sK48 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f222]) ).
fof(f682,plain,
( spl91_20
| spl91_2 ),
inference(avatar_split_clause,[],[f428,f579,f667]) ).
fof(f428,plain,
( ssItem(sK51)
| ssList(sK58) ),
inference(cnf_transformation,[],[f222]) ).
fof(f681,plain,
( spl91_19
| spl91_2 ),
inference(avatar_split_clause,[],[f478,f579,f662]) ).
fof(f478,plain,
( ssItem(sK51)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(definition_unfolding,[],[f429,f462]) ).
fof(f429,plain,
( ssItem(sK51)
| sK48 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f222]) ).
fof(f670,plain,
( spl91_20
| spl91_12 ),
inference(avatar_split_clause,[],[f434,f628,f667]) ).
fof(f434,plain,
( ssList(sK57)
| ssList(sK58) ),
inference(cnf_transformation,[],[f222]) ).
fof(f665,plain,
( spl91_19
| spl91_12 ),
inference(avatar_split_clause,[],[f474,f628,f662]) ).
fof(f474,plain,
( ssList(sK57)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(definition_unfolding,[],[f435,f462]) ).
fof(f435,plain,
( ssList(sK57)
| sK48 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f222]) ).
fof(f652,plain,
( spl91_15
| spl91_16 ),
inference(avatar_split_clause,[],[f526,f650,f647]) ).
fof(f526,plain,
! [X10,X11,X18,X16,X17,X12] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| sP77(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ~ ssItem(X10)
| ~ ssItem(X11)
| ~ ssList(X12)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49
| sP78(app(app(cons(X10,nil),X12),cons(X11,nil))) ),
inference(inequality_splitting,[],[f438,f525,f524]) ).
fof(f438,plain,
! [X10,X11,X18,X16,X17,X12] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| ~ ssItem(X10)
| ~ ssItem(X11)
| ~ ssList(X12)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49
| app(app(cons(X10,nil),X12),cons(X11,nil)) != sK50 ),
inference(cnf_transformation,[],[f222]) ).
fof(f645,plain,
( spl91_14
| spl91_11 ),
inference(avatar_split_clause,[],[f523,f623,f643]) ).
fof(f523,plain,
! [X10,X11,X12] :
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ~ ssItem(X10)
| ~ ssItem(X11)
| ~ ssList(X12)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49
| sP76(app(app(cons(X10,nil),X12),cons(X11,nil))) ),
inference(inequality_splitting,[],[f473,f522]) ).
fof(f473,plain,
! [X10,X11,X12] :
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ~ ssItem(X10)
| ~ ssItem(X11)
| ~ ssList(X12)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49
| app(app(cons(X10,nil),X12),cons(X11,nil)) != sK50 ),
inference(definition_unfolding,[],[f439,f462]) ).
fof(f439,plain,
! [X10,X11,X12] :
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ~ ssItem(X10)
| ~ ssItem(X11)
| ~ ssList(X12)
| app(app(cons(X11,nil),X12),cons(X10,nil)) = sK49
| app(app(cons(X10,nil),X12),cons(X11,nil)) != sK50 ),
inference(cnf_transformation,[],[f222]) ).
fof(f637,plain,
( spl91_3
| spl91_12 ),
inference(avatar_split_clause,[],[f441,f628,f584]) ).
fof(f441,plain,
( ssList(sK57)
| ssItem(sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f636,plain,
( spl91_3
| spl91_11 ),
inference(avatar_split_clause,[],[f472,f623,f584]) ).
fof(f472,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK53) ),
inference(definition_unfolding,[],[f442,f462]) ).
fof(f442,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f635,plain,
( spl91_1
| spl91_12 ),
inference(avatar_split_clause,[],[f443,f628,f575]) ).
fof(f443,plain,
( ssList(sK57)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f633,plain,
( spl91_5
| spl91_12 ),
inference(avatar_split_clause,[],[f445,f628,f595]) ).
fof(f445,plain,
( ssList(sK57)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f222]) ).
fof(f631,plain,
( spl91_6
| spl91_12 ),
inference(avatar_split_clause,[],[f447,f628,f601]) ).
fof(f447,plain,
( ssList(sK57)
| ssItem(sK56) ),
inference(cnf_transformation,[],[f222]) ).
fof(f626,plain,
( spl91_6
| spl91_11 ),
inference(avatar_split_clause,[],[f469,f623,f601]) ).
fof(f469,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK56) ),
inference(definition_unfolding,[],[f448,f462]) ).
fof(f448,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK56) ),
inference(cnf_transformation,[],[f222]) ).
fof(f621,plain,
( spl91_3
| spl91_10 ),
inference(avatar_split_clause,[],[f519,f619,f584]) ).
fof(f519,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| sP74(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ssItem(sK53) ),
inference(inequality_splitting,[],[f449,f518]) ).
fof(f449,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| ssItem(sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f609,plain,
( spl91_6
| spl91_7 ),
inference(avatar_split_clause,[],[f513,f607,f601]) ).
fof(f513,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| sP71(app(app(cons(X16,nil),cons(X17,nil)),X18))
| ssItem(sK56) ),
inference(inequality_splitting,[],[f452,f512]) ).
fof(f452,plain,
! [X18,X16,X17] :
( ~ ssItem(X16)
| ~ ssItem(X17)
| ~ ssList(X18)
| app(app(cons(X16,nil),cons(X17,nil)),X18) != sK50
| ssItem(sK56) ),
inference(cnf_transformation,[],[f222]) ).
fof(f605,plain,
( spl91_6
| spl91_2 ),
inference(avatar_split_clause,[],[f453,f579,f601]) ).
fof(f453,plain,
( ssItem(sK51)
| ssItem(sK56) ),
inference(cnf_transformation,[],[f222]) ).
fof(f604,plain,
( spl91_6
| spl91_4 ),
inference(avatar_split_clause,[],[f454,f589,f601]) ).
fof(f454,plain,
( ssItem(sK54)
| ssItem(sK56) ),
inference(cnf_transformation,[],[f222]) ).
fof(f599,plain,
( spl91_5
| spl91_2 ),
inference(avatar_split_clause,[],[f455,f579,f595]) ).
fof(f455,plain,
( ssItem(sK51)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f222]) ).
fof(f598,plain,
( spl91_5
| spl91_4 ),
inference(avatar_split_clause,[],[f456,f589,f595]) ).
fof(f456,plain,
( ssItem(sK54)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f222]) ).
fof(f593,plain,
( spl91_1
| spl91_4 ),
inference(avatar_split_clause,[],[f457,f589,f575]) ).
fof(f457,plain,
( ssItem(sK54)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f592,plain,
( spl91_3
| spl91_4 ),
inference(avatar_split_clause,[],[f458,f589,f584]) ).
fof(f458,plain,
( ssItem(sK54)
| ssItem(sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f587,plain,
( spl91_3
| spl91_2 ),
inference(avatar_split_clause,[],[f459,f579,f584]) ).
fof(f459,plain,
( ssItem(sK51)
| ssItem(sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f582,plain,
( spl91_1
| spl91_2 ),
inference(avatar_split_clause,[],[f460,f579,f575]) ).
fof(f460,plain,
( ssItem(sK51)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC412+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 02:47:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.73 % (13053)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.73 % (13046)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.73 % (13048)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73 % (13047)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.73 % (13049)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.73 % (13050)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.73 % (13053)Refutation not found, incomplete strategy% (13053)------------------------------
% 0.57/0.73 % (13053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (13053)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (13053)Memory used [KB]: 1149
% 0.57/0.73 % (13053)Time elapsed: 0.003 s
% 0.57/0.73 % (13053)Instructions burned: 5 (million)
% 0.57/0.73 % (13053)------------------------------
% 0.57/0.73 % (13053)------------------------------
% 0.57/0.74 % (13051)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.74 % (13046)Refutation not found, incomplete strategy% (13046)------------------------------
% 0.57/0.74 % (13046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (13046)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (13046)Memory used [KB]: 1183
% 0.57/0.74 % (13046)Time elapsed: 0.009 s
% 0.57/0.74 % (13046)Instructions burned: 12 (million)
% 0.57/0.74 % (13046)------------------------------
% 0.57/0.74 % (13046)------------------------------
% 0.57/0.74 % (13051)Refutation not found, incomplete strategy% (13051)------------------------------
% 0.57/0.74 % (13051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (13051)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (13051)Memory used [KB]: 1147
% 0.57/0.74 % (13051)Time elapsed: 0.003 s
% 0.57/0.74 % (13051)Instructions burned: 5 (million)
% 0.57/0.74 % (13051)------------------------------
% 0.57/0.74 % (13051)------------------------------
% 0.57/0.74 % (13054)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.74 % (13050)Refutation not found, incomplete strategy% (13050)------------------------------
% 0.57/0.74 % (13050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (13050)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (13050)Memory used [KB]: 1534
% 0.57/0.74 % (13050)Time elapsed: 0.012 s
% 0.57/0.74 % (13050)Instructions burned: 21 (million)
% 0.57/0.74 % (13050)------------------------------
% 0.57/0.74 % (13050)------------------------------
% 0.57/0.74 % (13055)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.57/0.75 % (13057)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.57/0.75 % (13049)Instruction limit reached!
% 0.57/0.75 % (13049)------------------------------
% 0.57/0.75 % (13049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (13049)Termination reason: Unknown
% 0.57/0.75 % (13049)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (13049)Memory used [KB]: 1704
% 0.57/0.75 % (13049)Time elapsed: 0.019 s
% 0.57/0.75 % (13049)Instructions burned: 33 (million)
% 0.57/0.75 % (13049)------------------------------
% 0.57/0.75 % (13049)------------------------------
% 0.57/0.75 % (13052)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.75 % (13056)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.76 % (13047)Instruction limit reached!
% 0.57/0.76 % (13047)------------------------------
% 0.57/0.76 % (13047)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (13047)Termination reason: Unknown
% 0.57/0.76 % (13047)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (13047)Memory used [KB]: 1952
% 0.57/0.76 % (13047)Time elapsed: 0.035 s
% 0.57/0.76 % (13047)Instructions burned: 52 (million)
% 0.57/0.76 % (13047)------------------------------
% 0.57/0.76 % (13047)------------------------------
% 0.57/0.76 % (13054)Instruction limit reached!
% 0.57/0.76 % (13054)------------------------------
% 0.57/0.76 % (13054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (13054)Termination reason: Unknown
% 0.57/0.76 % (13054)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.77 % (13054)Memory used [KB]: 2767
% 0.57/0.77 % (13054)Time elapsed: 0.024 s
% 0.57/0.77 % (13054)Instructions burned: 55 (million)
% 0.57/0.77 % (13054)------------------------------
% 0.57/0.77 % (13054)------------------------------
% 0.57/0.77 % (13055)Instruction limit reached!
% 0.57/0.77 % (13055)------------------------------
% 0.57/0.77 % (13055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (13055)Termination reason: Unknown
% 0.57/0.77 % (13055)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (13055)Memory used [KB]: 1971
% 0.57/0.77 % (13055)Time elapsed: 0.027 s
% 0.57/0.77 % (13055)Instructions burned: 51 (million)
% 0.57/0.77 % (13055)------------------------------
% 0.57/0.77 % (13055)------------------------------
% 0.57/0.77 % (13059)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.57/0.77 % (13060)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.57/0.77 % (13058)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.57/0.77 % (13061)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.57/0.77 % (13058)Refutation not found, incomplete strategy% (13058)------------------------------
% 0.57/0.77 % (13058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (13058)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (13058)Memory used [KB]: 1226
% 0.57/0.77 % (13058)Time elapsed: 0.005 s
% 0.57/0.77 % (13058)Instructions burned: 7 (million)
% 0.57/0.77 % (13058)------------------------------
% 0.57/0.77 % (13058)------------------------------
% 0.57/0.78 % (13048)Instruction limit reached!
% 0.57/0.78 % (13048)------------------------------
% 0.57/0.78 % (13048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (13048)Termination reason: Unknown
% 0.57/0.78 % (13048)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (13048)Memory used [KB]: 1932
% 0.57/0.78 % (13048)Time elapsed: 0.049 s
% 0.57/0.78 % (13048)Instructions burned: 79 (million)
% 0.57/0.78 % (13048)------------------------------
% 0.57/0.78 % (13048)------------------------------
% 0.57/0.78 % (13057)Instruction limit reached!
% 0.57/0.78 % (13057)------------------------------
% 0.57/0.78 % (13057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (13057)Termination reason: Unknown
% 0.57/0.78 % (13057)Termination phase: Saturation
% 0.57/0.78
% 0.57/0.78 % (13057)Memory used [KB]: 1684
% 0.57/0.78 % (13057)Time elapsed: 0.034 s
% 0.57/0.78 % (13057)Instructions burned: 53 (million)
% 0.57/0.78 % (13057)------------------------------
% 0.57/0.78 % (13057)------------------------------
% 0.57/0.78 % (13062)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.82/0.78 % (13063)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.82/0.78 % (13064)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.82/0.79 % (13059)Instruction limit reached!
% 0.82/0.79 % (13059)------------------------------
% 0.82/0.79 % (13059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.79 % (13059)Termination reason: Unknown
% 0.82/0.79 % (13059)Termination phase: Saturation
% 0.82/0.79
% 0.82/0.79 % (13059)Memory used [KB]: 2078
% 0.82/0.79 % (13059)Time elapsed: 0.025 s
% 0.82/0.79 % (13059)Instructions burned: 42 (million)
% 0.82/0.79 % (13059)------------------------------
% 0.82/0.79 % (13059)------------------------------
% 0.82/0.80 % (13063)First to succeed.
% 0.82/0.80 % (13065)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.82/0.80 % (13063)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13045"
% 0.82/0.80 % (13052)Instruction limit reached!
% 0.82/0.80 % (13052)------------------------------
% 0.82/0.80 % (13052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.80 % (13052)Termination reason: Unknown
% 0.82/0.80 % (13052)Termination phase: Saturation
% 0.82/0.80
% 0.82/0.80 % (13052)Memory used [KB]: 1999
% 0.82/0.80 % (13052)Time elapsed: 0.073 s
% 0.82/0.80 % (13052)Instructions burned: 83 (million)
% 0.82/0.80 % (13052)------------------------------
% 0.82/0.80 % (13052)------------------------------
% 0.82/0.80 % (13063)Refutation found. Thanks to Tanya!
% 0.82/0.80 % SZS status Theorem for theBenchmark
% 0.82/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.80 % (13063)------------------------------
% 0.82/0.80 % (13063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.80 % (13063)Termination reason: Refutation
% 0.82/0.80
% 0.82/0.80 % (13063)Memory used [KB]: 1503
% 0.82/0.80 % (13063)Time elapsed: 0.018 s
% 0.82/0.80 % (13063)Instructions burned: 31 (million)
% 0.82/0.80 % (13045)Success in time 0.437 s
% 0.82/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------