TSTP Solution File: ARI646_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI646_1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 : Mon May 20 18:48:29 EDT 2024
% Result : Theorem 0.60s 0.86s
% Output : Refutation 0.75s
% 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(f1067,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f44,f45,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f775,f778,f781,f807,f819,f836,f844,f849,f855,f893,f903,f915,f926,f936,f947,f951,f967,f970,f996,f1007,f1018,f1030,f1043,f1055,f1066]) ).
tff(f1066,plain,
( ~ spl1_1
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
tff(f1065,plain,
( $false
| ~ spl1_1
| ~ spl1_4 ),
inference(evaluation,[],[f1056]) ).
tff(f1056,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(f1055,plain,
( ~ spl1_1
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f1054]) ).
tff(f1054,plain,
( $false
| ~ spl1_1
| ~ spl1_12 ),
inference(evaluation,[],[f1044]) ).
tff(f1044,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(f1043,plain,
( ~ spl1_1
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
tff(f1042,plain,
( $false
| ~ spl1_1
| ~ spl1_13 ),
inference(evaluation,[],[f1032]) ).
tff(f1032,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(f1030,plain,
( ~ spl1_1
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
tff(f1029,plain,
( $false
| ~ spl1_1
| ~ spl1_11 ),
inference(evaluation,[],[f1020]) ).
tff(f1020,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(f1018,plain,
( ~ spl1_1
| ~ spl1_9 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
tff(f1017,plain,
( $false
| ~ spl1_1
| ~ spl1_9 ),
inference(evaluation,[],[f1008]) ).
tff(f1008,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(f1007,plain,
( ~ spl1_1
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
tff(f1006,plain,
( $false
| ~ spl1_1
| ~ spl1_10 ),
inference(evaluation,[],[f998]) ).
tff(f998,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(f996,plain,
( ~ spl1_1
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f995]) ).
tff(f995,plain,
( $false
| ~ spl1_1
| ~ spl1_8 ),
inference(evaluation,[],[f988]) ).
tff(f988,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(f970,plain,
( ~ spl1_18
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f956,f32,f851]) ).
tff(f851,plain,
( spl1_18
<=> $less(0,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
tff(f956,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(f967,plain,
( ~ spl1_1
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f966]) ).
tff(f966,plain,
( $false
| ~ spl1_1
| ~ spl1_6 ),
inference(evaluation,[],[f965]) ).
tff(f965,plain,
( ~ $less(0,$sum(1,2))
| ~ spl1_1
| ~ spl1_6 ),
inference(forward_demodulation,[],[f964,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(f964,plain,
( ~ $less(0,$sum(1,a))
| ~ spl1_1 ),
inference(forward_demodulation,[],[f953,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f953,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(f951,plain,
( ~ spl1_1
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f950]) ).
tff(f950,plain,
( $false
| ~ spl1_1
| ~ spl1_5 ),
inference(evaluation,[],[f949]) ).
tff(f949,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(f947,plain,
( spl1_3
| ~ spl1_9 ),
inference(avatar_contradiction_clause,[],[f946]) ).
tff(f946,plain,
( $false
| spl1_3
| ~ spl1_9 ),
inference(evaluation,[],[f939]) ).
tff(f939,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(f936,plain,
( spl1_3
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f935]) ).
tff(f935,plain,
( $false
| spl1_3
| ~ spl1_5 ),
inference(evaluation,[],[f928]) ).
tff(f928,plain,
( ~ $less(1,10)
| spl1_3
| ~ spl1_5 ),
inference(superposition,[],[f42,f53]) ).
tff(f926,plain,
( spl1_3
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f925]) ).
tff(f925,plain,
( $false
| spl1_3
| ~ spl1_8 ),
inference(evaluation,[],[f917]) ).
tff(f917,plain,
( ~ $less(4,10)
| spl1_3
| ~ spl1_8 ),
inference(superposition,[],[f42,f65]) ).
tff(f915,plain,
( spl1_3
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f914]) ).
tff(f914,plain,
( $false
| spl1_3
| ~ spl1_13 ),
inference(evaluation,[],[f906]) ).
tff(f906,plain,
( ~ $less(9,10)
| spl1_3
| ~ spl1_13 ),
inference(superposition,[],[f42,f85]) ).
tff(f903,plain,
( spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f902]) ).
tff(f902,plain,
( $false
| spl1_3
| ~ spl1_10 ),
inference(evaluation,[],[f895]) ).
tff(f895,plain,
( ~ $less(6,10)
| spl1_3
| ~ spl1_10 ),
inference(superposition,[],[f42,f73]) ).
tff(f893,plain,
( spl1_3
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f892]) ).
tff(f892,plain,
( $false
| spl1_3
| ~ spl1_12 ),
inference(evaluation,[],[f884]) ).
tff(f884,plain,
( ~ $less(8,10)
| spl1_3
| ~ spl1_12 ),
inference(superposition,[],[f42,f81]) ).
tff(f855,plain,
( spl1_4
| spl1_18
| spl1_1 ),
inference(avatar_split_clause,[],[f786,f32,f851,f47]) ).
tff(f786,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(f849,plain,
( ~ spl1_4
| ~ spl1_17 ),
inference(avatar_contradiction_clause,[],[f848]) ).
tff(f848,plain,
( $false
| ~ spl1_4
| ~ spl1_17 ),
inference(evaluation,[],[f847]) ).
tff(f847,plain,
( $less(10,0)
| ~ spl1_4
| ~ spl1_17 ),
inference(forward_demodulation,[],[f817,f49]) ).
tff(f817,plain,
( $less(10,a)
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f815]) ).
tff(f815,plain,
( spl1_17
<=> $less(10,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
tff(f844,plain,
( ~ spl1_4
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f843]) ).
tff(f843,plain,
( $false
| ~ spl1_4
| ~ spl1_16 ),
inference(evaluation,[],[f842]) ).
tff(f842,plain,
( ( 10 = 0 )
| ~ spl1_4
| ~ spl1_16 ),
inference(forward_demodulation,[],[f49,f813]) ).
tff(f813,plain,
( ( 10 = a )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f811]) ).
tff(f811,plain,
( spl1_16
<=> ( 10 = a ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
tff(f836,plain,
( spl1_3
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f835]) ).
tff(f835,plain,
( $false
| spl1_3
| ~ spl1_11 ),
inference(evaluation,[],[f826]) ).
tff(f826,plain,
( ~ $less(7,10)
| spl1_3
| ~ spl1_11 ),
inference(superposition,[],[f42,f77]) ).
tff(f819,plain,
( spl1_16
| spl1_17
| spl1_3 ),
inference(avatar_split_clause,[],[f797,f41,f815,f811]) ).
tff(f797,plain,
( $less(10,a)
| ( 10 = a )
| spl1_3 ),
inference(resolution,[],[f42,f11]) ).
tff(f807,plain,
( spl1_3
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f806]) ).
tff(f806,plain,
( $false
| spl1_3
| ~ spl1_6 ),
inference(evaluation,[],[f805]) ).
tff(f805,plain,
( $less(10,$sum(1,2))
| spl1_3
| ~ spl1_6 ),
inference(forward_demodulation,[],[f799,f57]) ).
tff(f799,plain,
( $less(10,$sum(1,a))
| spl1_3 ),
inference(forward_demodulation,[],[f796,f4]) ).
tff(f796,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(f781,plain,
( spl1_3
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f780]) ).
tff(f780,plain,
( $false
| spl1_3
| ~ spl1_7 ),
inference(evaluation,[],[f779]) ).
tff(f779,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(f778,plain,
( ~ spl1_1
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f777]) ).
tff(f777,plain,
( $false
| ~ spl1_1
| ~ spl1_7 ),
inference(evaluation,[],[f776]) ).
tff(f776,plain,
( $less(3,0)
| ~ spl1_1
| ~ spl1_7 ),
inference(forward_demodulation,[],[f33,f61]) ).
tff(f775,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,[],[f774]) ).
tff(f774,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,[],[f773,f43]) ).
tff(f43,plain,
( $less(a,10)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f773,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,[],[f747]) ).
tff(f747,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,[],[f713,f15]) ).
tff(f713,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,f685,f11]) ).
tff(f685,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,[],[f661]) ).
tff(f661,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,[],[f615,f15]) ).
tff(f615,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,f522,f11]) ).
tff(f522,plain,
( ~ $less(a,8)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10
| spl1_11 ),
inference(evaluation,[],[f501]) ).
tff(f501,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,[],[f449,f15]) ).
tff(f449,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,f428,f11]) ).
tff(f428,plain,
( ~ $less(a,7)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9
| spl1_10 ),
inference(evaluation,[],[f409]) ).
tff(f409,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,[],[f354,f15]) ).
tff(f354,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,f327,f11]) ).
tff(f327,plain,
( ~ $less(a,6)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9 ),
inference(evaluation,[],[f311]) ).
tff(f311,plain,
( ~ $less(a,$sum(5,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9 ),
inference(unit_resulting_resolution,[],[f290,f15]) ).
tff(f290,plain,
( $less(5,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8
| spl1_9 ),
inference(unit_resulting_resolution,[],[f68,f273,f11]) ).
tff(f273,plain,
( ~ $less(a,5)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8 ),
inference(evaluation,[],[f259]) ).
tff(f259,plain,
( ~ $less(a,$sum(4,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8 ),
inference(unit_resulting_resolution,[],[f240,f15]) ).
tff(f240,plain,
( $less(4,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7
| spl1_8 ),
inference(unit_resulting_resolution,[],[f64,f225,f11]) ).
tff(f225,plain,
( ~ $less(a,4)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7 ),
inference(evaluation,[],[f213]) ).
tff(f213,plain,
( ~ $less(a,$sum(3,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7 ),
inference(unit_resulting_resolution,[],[f196,f15]) ).
tff(f196,plain,
( $less(3,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6
| spl1_7 ),
inference(unit_resulting_resolution,[],[f60,f183,f11]) ).
tff(f183,plain,
( ~ $less(a,3)
| spl1_1
| spl1_4
| spl1_5
| spl1_6 ),
inference(evaluation,[],[f173]) ).
tff(f173,plain,
( ~ $less(a,$sum(2,1))
| spl1_1
| spl1_4
| spl1_5
| spl1_6 ),
inference(unit_resulting_resolution,[],[f158,f15]) ).
tff(f158,plain,
( $less(2,a)
| spl1_1
| spl1_4
| spl1_5
| spl1_6 ),
inference(unit_resulting_resolution,[],[f56,f147,f11]) ).
tff(f147,plain,
( ~ $less(a,2)
| spl1_1
| spl1_4
| spl1_5 ),
inference(evaluation,[],[f139]) ).
tff(f139,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/sandbox2/benchmark/theBenchmark.p',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
% 0.07/0.13 % Problem : ARI646_1 : TPTP v8.2.0. Released v6.3.0.
% 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
% 0.14/0.36 % Computer : n007.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 : Sun May 19 13:05:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 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
% 0.60/0.84 % (31694)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.84 % (31691)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 (2995ds/34Mi)
% 0.60/0.84 % (31693)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.84 % (31692)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 (2995ds/51Mi)
% 0.60/0.84 % (31695)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 (2995ds/34Mi)
% 0.60/0.84 % (31696)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.84 % (31697)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 (2995ds/83Mi)
% 0.60/0.84 % (31698)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 (2995ds/56Mi)
% 0.60/0.85 % (31691)Instruction limit reached!
% 0.60/0.85 % (31691)------------------------------
% 0.60/0.85 % (31691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85 % (31691)Termination reason: Unknown
% 0.60/0.85 % (31691)Termination phase: Saturation
% 0.60/0.85
% 0.60/0.85 % (31691)Memory used [KB]: 1160
% 0.60/0.85 % (31691)Time elapsed: 0.019 s
% 0.60/0.85 % (31691)Instructions burned: 35 (million)
% 0.60/0.85 % (31691)------------------------------
% 0.60/0.85 % (31691)------------------------------
% 0.60/0.85 % (31694)Instruction limit reached!
% 0.60/0.85 % (31694)------------------------------
% 0.60/0.85 % (31694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85 % (31694)Termination reason: Unknown
% 0.60/0.85 % (31694)Termination phase: Saturation
% 0.60/0.85
% 0.60/0.85 % (31694)Memory used [KB]: 1451
% 0.60/0.85 % (31694)Time elapsed: 0.019 s
% 0.60/0.85 % (31694)Instructions burned: 33 (million)
% 0.60/0.85 % (31694)------------------------------
% 0.60/0.85 % (31694)------------------------------
% 0.60/0.85 % (31697)First to succeed.
% 0.60/0.86 % (31697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31690"
% 0.60/0.86 % (31695)Instruction limit reached!
% 0.60/0.86 % (31695)------------------------------
% 0.60/0.86 % (31695)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.86 % (31695)Termination reason: Unknown
% 0.60/0.86 % (31695)Termination phase: Saturation
% 0.60/0.86
% 0.60/0.86 % (31695)Memory used [KB]: 1130
% 0.60/0.86 % (31695)Time elapsed: 0.022 s
% 0.60/0.86 % (31695)Instructions burned: 35 (million)
% 0.60/0.86 % (31695)------------------------------
% 0.60/0.86 % (31695)------------------------------
% 0.60/0.86 % (31697)Refutation found. Thanks to Tanya!
% 0.60/0.86 % SZS status Theorem for theBenchmark
% 0.60/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.86 % (31697)------------------------------
% 0.75/0.86 % (31697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86 % (31697)Termination reason: Refutation
% 0.75/0.86
% 0.75/0.86 % (31697)Memory used [KB]: 1193
% 0.75/0.86 % (31697)Time elapsed: 0.021 s
% 0.75/0.86 % (31697)Instructions burned: 31 (million)
% 0.75/0.86 % (31690)Success in time 0.482 s
% 0.75/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------