TSTP Solution File: ARI646_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI646_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 : Wed May 1 02:09:45 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 24
% Syntax : Number of formulae : 188 ( 3 unt; 1 typ; 0 def)
% Number of atoms : 666 ( 98 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 680 ( 201 ~; 455 |; 4 &)
% ( 19 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 335 ( 89 atm; 20 fun; 214 num; 12 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 13 ( 1 usr; 12 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f1096,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f44,f45,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f804,f807,f810,f836,f848,f865,f873,f878,f884,f922,f932,f944,f955,f965,f976,f980,f996,f999,f1025,f1036,f1047,f1059,f1072,f1084,f1095]) ).
tff(f1095,plain,
( ~ spl1_1
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
tff(f1094,plain,
( $false
| ~ spl1_1
| ~ spl1_4 ),
inference(evaluation,[],[f1085]) ).
tff(f1085,plain,
( $less(0,0)
| ~ spl1_1
| ~ spl1_4 ),
inference(superposition,[],[f33,f49]) ).
tff(f49,plain,
( ( a = 0 )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f47,plain,
( spl1_4
<=> ( a = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f33,plain,
( $less(a,0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f32,plain,
( spl1_1
<=> $less(a,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f1084,plain,
( ~ spl1_1
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f1083]) ).
tff(f1083,plain,
( $false
| ~ spl1_1
| ~ spl1_12 ),
inference(evaluation,[],[f1073]) ).
tff(f1073,plain,
( $less(8,0)
| ~ spl1_1
| ~ spl1_12 ),
inference(superposition,[],[f33,f81]) ).
tff(f81,plain,
( ( a = 8 )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f79]) ).
tff(f79,plain,
( spl1_12
<=> ( a = 8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
tff(f1072,plain,
( ~ spl1_1
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
tff(f1071,plain,
( $false
| ~ spl1_1
| ~ spl1_13 ),
inference(evaluation,[],[f1061]) ).
tff(f1061,plain,
( $less(9,0)
| ~ spl1_1
| ~ spl1_13 ),
inference(superposition,[],[f33,f85]) ).
tff(f85,plain,
( ( a = 9 )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f83,plain,
( spl1_13
<=> ( a = 9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
tff(f1059,plain,
( ~ spl1_1
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f1058]) ).
tff(f1058,plain,
( $false
| ~ spl1_1
| ~ spl1_11 ),
inference(evaluation,[],[f1049]) ).
tff(f1049,plain,
( $less(7,0)
| ~ spl1_1
| ~ spl1_11 ),
inference(superposition,[],[f33,f77]) ).
tff(f77,plain,
( ( a = 7 )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f75]) ).
tff(f75,plain,
( spl1_11
<=> ( a = 7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f1047,plain,
( ~ spl1_1
| ~ spl1_9 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
tff(f1046,plain,
( $false
| ~ spl1_1
| ~ spl1_9 ),
inference(evaluation,[],[f1037]) ).
tff(f1037,plain,
( $less(5,0)
| ~ spl1_1
| ~ spl1_9 ),
inference(superposition,[],[f33,f69]) ).
tff(f69,plain,
( ( a = 5 )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f67,plain,
( spl1_9
<=> ( a = 5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
tff(f1036,plain,
( ~ spl1_1
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
tff(f1035,plain,
( $false
| ~ spl1_1
| ~ spl1_10 ),
inference(evaluation,[],[f1027]) ).
tff(f1027,plain,
( $less(6,0)
| ~ spl1_1
| ~ spl1_10 ),
inference(superposition,[],[f33,f73]) ).
tff(f73,plain,
( ( a = 6 )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f71,plain,
( spl1_10
<=> ( a = 6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
tff(f1025,plain,
( ~ spl1_1
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
tff(f1024,plain,
( $false
| ~ spl1_1
| ~ spl1_8 ),
inference(evaluation,[],[f1017]) ).
tff(f1017,plain,
( $less(4,0)
| ~ spl1_1
| ~ spl1_8 ),
inference(superposition,[],[f33,f65]) ).
tff(f65,plain,
( ( a = 4 )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f63,plain,
( spl1_8
<=> ( a = 4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f999,plain,
( ~ spl1_18
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f985,f32,f880]) ).
tff(f880,plain,
( spl1_18
<=> $less(0,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
tff(f985,plain,
( ~ $less(0,a)
| ~ spl1_1 ),
inference(unit_resulting_resolution,[],[f9,f33,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f996,plain,
( ~ spl1_1
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f995]) ).
tff(f995,plain,
( $false
| ~ spl1_1
| ~ spl1_6 ),
inference(evaluation,[],[f994]) ).
tff(f994,plain,
( ~ $less(0,$sum(1,2))
| ~ spl1_1
| ~ spl1_6 ),
inference(forward_demodulation,[],[f993,f57]) ).
tff(f57,plain,
( ( a = 2 )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f55,plain,
( spl1_6
<=> ( a = 2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f993,plain,
( ~ $less(0,$sum(1,a))
| ~ spl1_1 ),
inference(forward_demodulation,[],[f982,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f982,plain,
( ~ $less(0,$sum(a,1))
| ~ spl1_1 ),
inference(unit_resulting_resolution,[],[f33,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f980,plain,
( ~ spl1_1
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f979]) ).
tff(f979,plain,
( $false
| ~ spl1_1
| ~ spl1_5 ),
inference(evaluation,[],[f978]) ).
tff(f978,plain,
( $less(1,0)
| ~ spl1_1
| ~ spl1_5 ),
inference(forward_demodulation,[],[f33,f53]) ).
tff(f53,plain,
( ( a = 1 )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f51,plain,
( spl1_5
<=> ( a = 1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f976,plain,
( spl1_3
| ~ spl1_9 ),
inference(avatar_contradiction_clause,[],[f975]) ).
tff(f975,plain,
( $false
| spl1_3
| ~ spl1_9 ),
inference(evaluation,[],[f968]) ).
tff(f968,plain,
( ~ $less(5,10)
| spl1_3
| ~ spl1_9 ),
inference(superposition,[],[f42,f69]) ).
tff(f42,plain,
( ~ $less(a,10)
| spl1_3 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f41,plain,
( spl1_3
<=> $less(a,10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f965,plain,
( spl1_3
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f964]) ).
tff(f964,plain,
( $false
| spl1_3
| ~ spl1_5 ),
inference(evaluation,[],[f957]) ).
tff(f957,plain,
( ~ $less(1,10)
| spl1_3
| ~ spl1_5 ),
inference(superposition,[],[f42,f53]) ).
tff(f955,plain,
( spl1_3
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f954]) ).
tff(f954,plain,
( $false
| spl1_3
| ~ spl1_8 ),
inference(evaluation,[],[f946]) ).
tff(f946,plain,
( ~ $less(4,10)
| spl1_3
| ~ spl1_8 ),
inference(superposition,[],[f42,f65]) ).
tff(f944,plain,
( spl1_3
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f943]) ).
tff(f943,plain,
( $false
| spl1_3
| ~ spl1_13 ),
inference(evaluation,[],[f935]) ).
tff(f935,plain,
( ~ $less(9,10)
| spl1_3
| ~ spl1_13 ),
inference(superposition,[],[f42,f85]) ).
tff(f932,plain,
( spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f931]) ).
tff(f931,plain,
( $false
| spl1_3
| ~ spl1_10 ),
inference(evaluation,[],[f924]) ).
tff(f924,plain,
( ~ $less(6,10)
| spl1_3
| ~ spl1_10 ),
inference(superposition,[],[f42,f73]) ).
tff(f922,plain,
( spl1_3
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f921]) ).
tff(f921,plain,
( $false
| spl1_3
| ~ spl1_12 ),
inference(evaluation,[],[f913]) ).
tff(f913,plain,
( ~ $less(8,10)
| spl1_3
| ~ spl1_12 ),
inference(superposition,[],[f42,f81]) ).
tff(f884,plain,
( spl1_4
| spl1_18
| spl1_1 ),
inference(avatar_split_clause,[],[f815,f32,f880,f47]) ).
tff(f815,plain,
( $less(0,a)
| ( a = 0 )
| spl1_1 ),
inference(resolution,[],[f34,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f34,plain,
( ~ $less(a,0)
| spl1_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f878,plain,
( ~ spl1_4
| ~ spl1_17 ),
inference(avatar_contradiction_clause,[],[f877]) ).
tff(f877,plain,
( $false
| ~ spl1_4
| ~ spl1_17 ),
inference(evaluation,[],[f876]) ).
tff(f876,plain,
( $less(10,0)
| ~ spl1_4
| ~ spl1_17 ),
inference(forward_demodulation,[],[f846,f49]) ).
tff(f846,plain,
( $less(10,a)
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f844]) ).
tff(f844,plain,
( spl1_17
<=> $less(10,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
tff(f873,plain,
( ~ spl1_4
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f872]) ).
tff(f872,plain,
( $false
| ~ spl1_4
| ~ spl1_16 ),
inference(evaluation,[],[f871]) ).
tff(f871,plain,
( ( 10 = 0 )
| ~ spl1_4
| ~ spl1_16 ),
inference(forward_demodulation,[],[f49,f842]) ).
tff(f842,plain,
( ( 10 = a )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f840]) ).
tff(f840,plain,
( spl1_16
<=> ( 10 = a ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
tff(f865,plain,
( spl1_3
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f864]) ).
tff(f864,plain,
( $false
| spl1_3
| ~ spl1_11 ),
inference(evaluation,[],[f855]) ).
tff(f855,plain,
( ~ $less(7,10)
| spl1_3
| ~ spl1_11 ),
inference(superposition,[],[f42,f77]) ).
tff(f848,plain,
( spl1_16
| spl1_17
| spl1_3 ),
inference(avatar_split_clause,[],[f826,f41,f844,f840]) ).
tff(f826,plain,
( $less(10,a)
| ( 10 = a )
| spl1_3 ),
inference(resolution,[],[f42,f11]) ).
tff(f836,plain,
( spl1_3
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f835]) ).
tff(f835,plain,
( $false
| spl1_3
| ~ spl1_6 ),
inference(evaluation,[],[f834]) ).
tff(f834,plain,
( $less(10,$sum(1,2))
| spl1_3
| ~ spl1_6 ),
inference(forward_demodulation,[],[f828,f57]) ).
tff(f828,plain,
( $less(10,$sum(1,a))
| spl1_3 ),
inference(forward_demodulation,[],[f825,f4]) ).
tff(f825,plain,
( $less(10,$sum(a,1))
| spl1_3 ),
inference(unit_resulting_resolution,[],[f42,f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f810,plain,
( spl1_3
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f809]) ).
tff(f809,plain,
( $false
| spl1_3
| ~ spl1_7 ),
inference(evaluation,[],[f808]) ).
tff(f808,plain,
( ~ $less(3,10)
| spl1_3
| ~ spl1_7 ),
inference(forward_demodulation,[],[f42,f61]) ).
tff(f61,plain,
( ( a = 3 )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f59,plain,
( spl1_7
<=> ( a = 3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f807,plain,
( ~ spl1_1
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f806]) ).
tff(f806,plain,
( $false
| ~ spl1_1
| ~ spl1_7 ),
inference(evaluation,[],[f805]) ).
tff(f805,plain,
( $less(3,0)
| ~ spl1_1
| ~ spl1_7 ),
inference(forward_demodulation,[],[f33,f61]) ).
tff(f804,plain,
( spl1_1
| ~ spl1_3
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12
| spl1_13 ),
inference(avatar_contradiction_clause,[],[f803]) ).
tff(f803,plain,
( $false
| spl1_1
| ~ spl1_3
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12
| spl1_13 ),
inference(subsumption_resolution,[],[f802,f43]) ).
tff(f43,plain,
( $less(a,10)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f802,plain,
( ~ $less(a,10)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12
| spl1_13 ),
inference(evaluation,[],[f776]) ).
tff(f776,plain,
( ~ $less(a,$sum(9,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12
| spl1_13 ),
inference(unit_resulting_resolution,[],[f742,f15]) ).
tff(f742,plain,
( $less(9,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12
| spl1_13 ),
inference(unit_resulting_resolution,[],[f84,f706,f11]) ).
tff(f706,plain,
( ~ $less(a,9)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12 ),
inference(evaluation,[],[f682]) ).
tff(f682,plain,
( ~ $less(a,$sum(8,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12 ),
inference(unit_resulting_resolution,[],[f650,f15]) ).
tff(f650,plain,
( $less(8,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12 ),
inference(unit_resulting_resolution,[],[f80,f624,f11]) ).
tff(f624,plain,
( ~ $less(a,8)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11 ),
inference(evaluation,[],[f602]) ).
tff(f602,plain,
( ~ $less(a,$sum(7,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11 ),
inference(unit_resulting_resolution,[],[f558,f15]) ).
tff(f558,plain,
( $less(7,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11 ),
inference(unit_resulting_resolution,[],[f76,f520,f11]) ).
tff(f520,plain,
( ~ $less(a,7)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10 ),
inference(evaluation,[],[f500]) ).
tff(f500,plain,
( ~ $less(a,$sum(6,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10 ),
inference(unit_resulting_resolution,[],[f472,f15]) ).
tff(f472,plain,
( $less(6,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10 ),
inference(unit_resulting_resolution,[],[f72,f450,f11]) ).
tff(f450,plain,
( ~ $less(a,6)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9 ),
inference(evaluation,[],[f432]) ).
tff(f432,plain,
( ~ $less(a,$sum(5,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9 ),
inference(unit_resulting_resolution,[],[f354,f15]) ).
tff(f354,plain,
( $less(5,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9 ),
inference(unit_resulting_resolution,[],[f68,f313,f11]) ).
tff(f313,plain,
( ~ $less(a,5)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8 ),
inference(evaluation,[],[f298]) ).
tff(f298,plain,
( ~ $less(a,$sum(4,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8 ),
inference(unit_resulting_resolution,[],[f276,f15]) ).
tff(f276,plain,
( $less(4,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8 ),
inference(unit_resulting_resolution,[],[f64,f261,f11]) ).
tff(f261,plain,
( ~ $less(a,4)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7 ),
inference(evaluation,[],[f248]) ).
tff(f248,plain,
( ~ $less(a,$sum(3,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7 ),
inference(unit_resulting_resolution,[],[f228,f15]) ).
tff(f228,plain,
( $less(3,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7 ),
inference(unit_resulting_resolution,[],[f60,f206,f11]) ).
tff(f206,plain,
( ~ $less(a,3)
| spl1_1
| spl1_4
| spl1_5
| spl1_6 ),
inference(evaluation,[],[f196]) ).
tff(f196,plain,
( ~ $less(a,$sum(2,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6 ),
inference(unit_resulting_resolution,[],[f166,f15]) ).
tff(f166,plain,
( $less(2,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6 ),
inference(unit_resulting_resolution,[],[f56,f155,f11]) ).
tff(f155,plain,
( ~ $less(a,2)
| spl1_1
| spl1_4
| spl1_5 ),
inference(evaluation,[],[f147]) ).
tff(f147,plain,
( ~ $less(a,$sum(1,1))
| spl1_1
| spl1_4
| spl1_5 ),
inference(unit_resulting_resolution,[],[f127,f15]) ).
tff(f127,plain,
( $less(1,a)
| spl1_1
| spl1_4
| spl1_5 ),
inference(unit_resulting_resolution,[],[f52,f117,f11]) ).
tff(f117,plain,
( ~ $less(a,1)
| spl1_1
| spl1_4 ),
inference(evaluation,[],[f111]) ).
tff(f111,plain,
( ~ $less(a,$sum(0,1))
| spl1_1
| spl1_4 ),
inference(unit_resulting_resolution,[],[f101,f15]) ).
tff(f101,plain,
( $less(0,a)
| spl1_1
| spl1_4 ),
inference(subsumption_resolution,[],[f98,f48]) ).
tff(f48,plain,
( ( a != 0 )
| spl1_4 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f98,plain,
( $less(0,a)
| ( a = 0 )
| spl1_1 ),
inference(resolution,[],[f34,f11]) ).
tff(f52,plain,
( ( a != 1 )
| spl1_5 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f56,plain,
( ( a != 2 )
| spl1_6 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f60,plain,
( ( a != 3 )
| spl1_7 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f64,plain,
( ( a != 4 )
| spl1_8 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f68,plain,
( ( a != 5 )
| spl1_9 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f72,plain,
( ( a != 6 )
| spl1_10 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f76,plain,
( ( a != 7 )
| spl1_11 ),
inference(avatar_component_clause,[],[f75]) ).
tff(f80,plain,
( ( a != 8 )
| spl1_12 ),
inference(avatar_component_clause,[],[f79]) ).
tff(f84,plain,
( ( a != 9 )
| spl1_13 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f96,plain,
( spl1_2
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f17,f83,f36]) ).
tff(f36,plain,
( spl1_2
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f17,plain,
( ( a != 9 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( ~ $less(a,0)
& $less(a,10) )
<~> ( ( a = 0 )
| ( a = 1 )
| ( a = 2 )
| ( a = 3 )
| ( a = 4 )
| ( a = 5 )
| ( a = 6 )
| ( a = 7 )
| ( a = 8 )
| ( a = 9 ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ( ~ $less(a,0)
& $less(a,10) )
<=> ( ( a = 0 )
| ( a = 1 )
| ( a = 2 )
| ( a = 3 )
| ( a = 4 )
| ( a = 5 )
| ( a = 6 )
| ( a = 7 )
| ( a = 8 )
| ( a = 9 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $lesseq(0,a)
& $greater(10,a) )
<=> ( ( a = 0 )
| ( a = 1 )
| ( a = 2 )
| ( a = 3 )
| ( a = 4 )
| ( a = 5 )
| ( a = 6 )
| ( a = 7 )
| ( a = 8 )
| ( a = 9 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $lesseq(0,a)
& $greater(10,a) )
<=> ( ( a = 0 )
| ( a = 1 )
| ( a = 2 )
| ( a = 3 )
| ( a = 4 )
| ( a = 5 )
| ( a = 6 )
| ( a = 7 )
| ( a = 8 )
| ( a = 9 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.d0u5ipBhI7/Vampire---4.8_18505',conj) ).
tff(f95,plain,
( spl1_2
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f18,f79,f36]) ).
tff(f18,plain,
( ( a != 8 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f94,plain,
( spl1_2
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f19,f75,f36]) ).
tff(f19,plain,
( ( a != 7 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f93,plain,
( spl1_2
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f20,f71,f36]) ).
tff(f20,plain,
( ( a != 6 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f92,plain,
( spl1_2
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f21,f67,f36]) ).
tff(f21,plain,
( ( a != 5 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f91,plain,
( spl1_2
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f22,f63,f36]) ).
tff(f22,plain,
( ( a != 4 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f90,plain,
( spl1_2
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f23,f59,f36]) ).
tff(f23,plain,
( ( a != 3 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f89,plain,
( spl1_2
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f24,f55,f36]) ).
tff(f24,plain,
( ( a != 2 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f88,plain,
( spl1_2
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f25,f51,f36]) ).
tff(f25,plain,
( ( a != 1 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f87,plain,
( spl1_2
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f26,f47,f36]) ).
tff(f26,plain,
( ( a != 0 )
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f86,plain,
( ~ spl1_2
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11
| spl1_12
| spl1_13 ),
inference(avatar_split_clause,[],[f27,f83,f79,f75,f71,f67,f63,f59,f55,f51,f47,f36]) ).
tff(f27,plain,
( ( a = 9 )
| ( a = 8 )
| ( a = 7 )
| ( a = 6 )
| ( a = 5 )
| ( a = 4 )
| ( a = 3 )
| ( a = 2 )
| ( a = 1 )
| ( a = 0 )
| ~ sP0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f45,plain,
( spl1_1
| ~ spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f28,f36,f41,f32]) ).
tff(f28,plain,
( ~ sP0
| ~ $less(a,10)
| $less(a,0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f44,plain,
( spl1_3
| spl1_2 ),
inference(avatar_split_clause,[],[f29,f36,f41]) ).
tff(f29,plain,
( sP0
| $less(a,10) ),
inference(cnf_transformation,[],[f16]) ).
tff(f39,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
tff(f30,plain,
( sP0
| ~ $less(a,0) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ARI646_1 : TPTP v8.1.2. Released v6.3.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 18:44:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.d0u5ipBhI7/Vampire---4.8_18505
% 0.60/0.75 % (18769)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 Vampire---4 for (2996ds/83Mi)
% 0.60/0.75 % (18763)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 Vampire---4 for (2996ds/34Mi)
% 0.60/0.75 % (18764)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 Vampire---4 for (2996ds/51Mi)
% 0.60/0.75 % (18768)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.75 % (18766)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.75 % (18770)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.75 % (18767)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 Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (18769)First to succeed.
% 0.60/0.76 % (18769)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (18769)------------------------------
% 0.60/0.76 % (18769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (18769)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (18769)Memory used [KB]: 1192
% 0.60/0.76 % (18769)Time elapsed: 0.012 s
% 0.60/0.76 % (18769)Instructions burned: 32 (million)
% 0.60/0.76 % (18769)------------------------------
% 0.60/0.76 % (18769)------------------------------
% 0.60/0.76 % (18759)Success in time 0.379 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------