TSTP Solution File: SWW642_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW642_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n021.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 Aug 31 19:09:16 EDT 2022
% Result : Theorem 2.70s 0.88s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 136
% Syntax : Number of formulae : 441 ( 43 unt; 38 typ; 0 def)
% Number of atoms : 1245 ( 421 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1466 ( 624 ~; 688 |; 46 &)
% ( 67 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 881 ( 172 atm; 202 fun; 383 num; 124 var)
% Number of types : 6 ( 4 usr; 1 ari)
% Number of type conns : 15 ( 9 >; 6 *; 0 +; 0 <<)
% Number of predicates : 73 ( 69 usr; 68 prp; 0-2 aty)
% Number of functors : 40 ( 32 usr; 29 con; 0-4 aty)
% Number of variables : 124 ( 110 !; 14 ?; 124 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_18,type,
fact1: $int > $int ).
tff(func_def_21,type,
sK0: $int ).
tff(func_def_22,type,
sK1: $int ).
tff(func_def_23,type,
sK2: $int ).
tff(func_def_24,type,
sK3: $int ).
tff(func_def_25,type,
sK4: $int ).
tff(func_def_26,type,
sK5: $int ).
tff(func_def_27,type,
sK6: $int ).
tff(func_def_28,type,
sK7: $int > $int ).
tff(func_def_29,type,
sF8: $int ).
tff(func_def_30,type,
sF9: $int ).
tff(func_def_31,type,
sF10: $int ).
tff(func_def_32,type,
sF11: $int ).
tff(func_def_33,type,
sF12: $int ).
tff(func_def_34,type,
sF13: $int ).
tff(func_def_35,type,
sF14: $int ).
tff(func_def_36,type,
sF15: $int ).
tff(func_def_37,type,
sF16: $int ).
tff(func_def_38,type,
sF17: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
even1: $int > $o ).
tff(f1177,plain,
$false,
inference(avatar_smt_refutation,[],[f125,f129,f133,f142,f146,f150,f155,f161,f166,f172,f176,f180,f184,f194,f198,f202,f207,f211,f227,f277,f281,f310,f520,f563,f656,f730,f733,f765,f775,f779,f783,f790,f794,f799,f810,f811,f816,f821,f825,f830,f834,f839,f843,f855,f867,f879,f895,f901,f916,f931,f935,f936,f937,f938,f962,f985,f989,f993,f994,f996,f1000,f1004,f1031,f1065,f1069,f1070,f1078,f1082,f1104,f1127,f1131,f1135,f1142,f1169,f1171]) ).
tff(f1171,plain,
( ~ spl18_47
| ~ spl18_63
| ~ spl18_66 ),
inference(avatar_contradiction_clause,[],[f1170]) ).
tff(f1170,plain,
( $false
| ~ spl18_47
| ~ spl18_63
| ~ spl18_66 ),
inference(evaluation,[],[f1155]) ).
tff(f1155,plain,
( $less(0,0)
| ~ spl18_47
| ~ spl18_63
| ~ spl18_66 ),
inference(backward_demodulation,[],[f894,f1153]) ).
tff(f1153,plain,
( ( 0 = sK4 )
| ~ spl18_63
| ~ spl18_66 ),
inference(forward_demodulation,[],[f1138,f1126]) ).
tff(f1126,plain,
( ( 0 = sF11 )
| ~ spl18_63 ),
inference(avatar_component_clause,[],[f1125]) ).
tff(f1125,plain,
( spl18_63
<=> ( 0 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_63])]) ).
tff(f1138,plain,
( ( sK4 = sF11 )
| ~ spl18_66 ),
inference(avatar_component_clause,[],[f1137]) ).
tff(f1137,plain,
( spl18_66
<=> ( sK4 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_66])]) ).
tff(f894,plain,
( $less(0,sK4)
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f893]) ).
tff(f893,plain,
( spl18_47
<=> $less(0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).
tff(f1169,plain,
( spl18_30
| ~ spl18_63
| ~ spl18_66 ),
inference(avatar_split_clause,[],[f1153,f1137,f1125,f785]) ).
tff(f785,plain,
( spl18_30
<=> ( 0 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).
tff(f1142,plain,
( spl18_66
| ~ spl18_67
| ~ spl18_48
| spl18_56
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f1111,f1002,f991,f899,f1140,f1137]) ).
tff(f1140,plain,
( spl18_67
<=> ( 0 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).
tff(f899,plain,
( spl18_48
<=> ( sK5 = $product(sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_48])]) ).
tff(f991,plain,
( spl18_56
<=> ( 0 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_56])]) ).
tff(f1002,plain,
( spl18_58
<=> ( 0 = $product(sK3,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_58])]) ).
tff(f1111,plain,
( ( 0 != sK5 )
| ( sK4 = sF11 )
| ~ spl18_48
| spl18_56
| ~ spl18_58 ),
inference(superposition,[],[f1015,f900]) ).
tff(f900,plain,
( ( sK5 = $product(sK3,sK4) )
| ~ spl18_48 ),
inference(avatar_component_clause,[],[f899]) ).
tff(f1015,plain,
( ! [X7: $int] :
( ( 0 != $product(sK3,X7) )
| ( sF11 = X7 ) )
| spl18_56
| ~ spl18_58 ),
inference(subsumption_resolution,[],[f1011,f992]) ).
tff(f992,plain,
( ( 0 != sK3 )
| spl18_56 ),
inference(avatar_component_clause,[],[f991]) ).
tff(f1011,plain,
( ! [X7: $int] :
( ( sF11 = X7 )
| ( 0 = sK3 )
| ( 0 != $product(sK3,X7) ) )
| ~ spl18_58 ),
inference(superposition,[],[f608,f1003]) ).
tff(f1003,plain,
( ( 0 = $product(sK3,sF11) )
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f1002]) ).
tff(f608,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0 = X0 )
| ( X2 = X3 ) ),
inference(gaussian_variable_elimination,[],[f40]) ).
tff(f40,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( $product(X0,X3) != X1 )
| ( X2 = X3 )
| ( $product(X0,X2) != X1 )
| ( 0 = X0 ) ),
introduced(theory_axiom_156,[]) ).
tff(f1135,plain,
( spl18_65
| ~ spl18_50
| spl18_56
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f1122,f1002,f991,f929,f1133]) ).
tff(f1133,plain,
( spl18_65
<=> ( 0 = $product(sK4,sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_65])]) ).
tff(f929,plain,
( spl18_50
<=> ( sF11 = $product(sK4,sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_50])]) ).
tff(f1122,plain,
( ( 0 = $product(sK4,sF16) )
| ~ spl18_50
| spl18_56
| ~ spl18_58 ),
inference(backward_demodulation,[],[f930,f1118]) ).
tff(f1118,plain,
( ( 0 = sF11 )
| spl18_56
| ~ spl18_58 ),
inference(trivial_inequality_removal,[],[f1115]) ).
tff(f1115,plain,
( ( 0 != 0 )
| ( 0 = sF11 )
| spl18_56
| ~ spl18_58 ),
inference(superposition,[],[f1015,f38]) ).
tff(f38,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_154,[]) ).
tff(f930,plain,
( ( sF11 = $product(sK4,sF16) )
| ~ spl18_50 ),
inference(avatar_component_clause,[],[f929]) ).
tff(f1131,plain,
( spl18_64
| ~ spl18_13
| spl18_56
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f1123,f1002,f991,f178,f1129]) ).
tff(f1129,plain,
( spl18_64
<=> ( 0 = fact1(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_64])]) ).
tff(f178,plain,
( spl18_13
<=> ( fact1(sK4) = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).
tff(f1123,plain,
( ( 0 = fact1(sK4) )
| ~ spl18_13
| spl18_56
| ~ spl18_58 ),
inference(backward_demodulation,[],[f179,f1118]) ).
tff(f179,plain,
( ( fact1(sK4) = sF11 )
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f178]) ).
tff(f1127,plain,
( spl18_63
| spl18_56
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f1118,f1002,f991,f1125]) ).
tff(f1104,plain,
( ~ spl18_59
| ~ spl18_9
| ~ spl18_12
| ~ spl18_15
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f1103,f957,f192,f174,f159,f1063]) ).
tff(f1063,plain,
( spl18_59
<=> ( 0 = fact1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).
tff(f159,plain,
( spl18_9
<=> ( 1 = fact1(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
tff(f174,plain,
( spl18_12
<=> ( sF8 = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
tff(f192,plain,
( spl18_15
<=> ( sF9 = $product(1,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).
tff(f957,plain,
( spl18_52
<=> ( 0 = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_52])]) ).
tff(f1103,plain,
( ( 0 != fact1(1) )
| ~ spl18_9
| ~ spl18_12
| ~ spl18_15
| ~ spl18_52 ),
inference(evaluation,[],[f1102]) ).
tff(f1102,plain,
( ( 0 = 1 )
| ( 0 != fact1(1) )
| ~ spl18_9
| ~ spl18_12
| ~ spl18_15
| ~ spl18_52 ),
inference(forward_demodulation,[],[f1101,f160]) ).
tff(f160,plain,
( ( 1 = fact1(0) )
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f1101,plain,
( ( 0 != fact1(1) )
| ( 0 = fact1(0) )
| ~ spl18_12
| ~ spl18_15
| ~ spl18_52 ),
inference(evaluation,[],[f1100]) ).
tff(f1100,plain,
( ( 0 = fact1($sum(1,-1)) )
| ( 0 != fact1(1) )
| ~ $less(0,1)
| ~ spl18_12
| ~ spl18_15
| ~ spl18_52 ),
inference(superposition,[],[f1093,f120]) ).
tff(f120,plain,
! [X0: $int] :
( ( fact1(X0) = $product(X0,fact1($sum(X0,-1))) )
| ~ $less(0,X0) ),
inference(evaluation,[],[f94]) ).
tff(f94,plain,
! [X0: $int] :
( ( $product(X0,fact1($sum(X0,$uminus(1)))) = fact1(X0) )
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0: $int] :
( ( $product(X0,fact1($sum(X0,$uminus(1)))) = fact1(X0) )
| ~ $less(0,X0) ),
inference(ennf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: $int] :
( $less(0,X0)
=> ( $product(X0,fact1($sum(X0,$uminus(1)))) = fact1(X0) ) ),
inference(rectify,[],[f23]) ).
tff(f23,plain,
! [X8: $int] :
( $less(0,X8)
=> ( fact1(X8) = $product(X8,fact1($sum(X8,$uminus(1)))) ) ),
inference(theory_normalization,[],[f18]) ).
tff(f18,axiom,
! [X8: $int] :
( $less(0,X8)
=> ( fact1(X8) = $product(X8,fact1($difference(X8,1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n) ).
tff(f1093,plain,
( ! [X16: $int] :
( ( 0 != $product(1,X16) )
| ( 0 = X16 ) )
| ~ spl18_12
| ~ spl18_15
| ~ spl18_52 ),
inference(forward_demodulation,[],[f1092,f958]) ).
tff(f958,plain,
( ( 0 = sF8 )
| ~ spl18_52 ),
inference(avatar_component_clause,[],[f957]) ).
tff(f1092,plain,
( ! [X16: $int] :
( ( 0 != $product(1,X16) )
| ( sF8 = X16 ) )
| ~ spl18_12
| ~ spl18_15
| ~ spl18_52 ),
inference(forward_demodulation,[],[f955,f958]) ).
tff(f955,plain,
( ! [X16: $int] :
( ( sF8 != $product(1,X16) )
| ( sF8 = X16 ) )
| ~ spl18_12
| ~ spl18_15 ),
inference(forward_demodulation,[],[f698,f774]) ).
tff(f774,plain,
( ( sF8 = sF9 )
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f174]) ).
tff(f698,plain,
( ! [X16: $int] :
( ( sF9 != $product(1,X16) )
| ( sF8 = X16 ) )
| ~ spl18_15 ),
inference(evaluation,[],[f663]) ).
tff(f663,plain,
( ! [X16: $int] :
( ( sF8 = X16 )
| ( sF9 != $product(1,X16) )
| ( 0 = 1 ) )
| ~ spl18_15 ),
inference(superposition,[],[f608,f193]) ).
tff(f193,plain,
( ( sF9 = $product(1,sF8) )
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f192]) ).
tff(f1082,plain,
( spl18_62
| ~ spl18_46
| ~ spl18_60 ),
inference(avatar_split_clause,[],[f1072,f1067,f877,f1080]) ).
tff(f1080,plain,
( spl18_62
<=> $less(-1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).
tff(f877,plain,
( spl18_46
<=> $less(sK6,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_46])]) ).
tff(f1067,plain,
( spl18_60
<=> $less(-1,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).
tff(f1072,plain,
( $less(-1,sK0)
| ~ spl18_46
| ~ spl18_60 ),
inference(resolution,[],[f1068,f891]) ).
tff(f891,plain,
( ! [X0: $int] :
( ~ $less(X0,sK6)
| $less(X0,sK0) )
| ~ spl18_46 ),
inference(resolution,[],[f878,f30]) ).
tff(f30,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f878,plain,
( $less(sK6,sK0)
| ~ spl18_46 ),
inference(avatar_component_clause,[],[f877]) ).
tff(f1068,plain,
( $less(-1,sK6)
| ~ spl18_60 ),
inference(avatar_component_clause,[],[f1067]) ).
tff(f1078,plain,
( spl18_61
| ~ spl18_42
| ~ spl18_60 ),
inference(avatar_split_clause,[],[f1071,f1067,f850,f1076]) ).
tff(f1076,plain,
( spl18_61
<=> $less(-1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).
tff(f850,plain,
( spl18_42
<=> $less(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).
tff(f1071,plain,
( $less(-1,sK4)
| ~ spl18_42
| ~ spl18_60 ),
inference(resolution,[],[f1068,f1032]) ).
tff(f1032,plain,
( ! [X0: $int] :
( ~ $less(X0,sK6)
| $less(X0,sK4) )
| ~ spl18_42 ),
inference(resolution,[],[f1030,f30]) ).
tff(f1030,plain,
( $less(sK6,sK4)
| ~ spl18_42 ),
inference(avatar_component_clause,[],[f850]) ).
tff(f1070,plain,
( ~ spl18_59
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f1049,f957,f192,f159,f1063]) ).
tff(f1049,plain,
( ( 0 != fact1(1) )
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52 ),
inference(forward_demodulation,[],[f1048,f958]) ).
tff(f1048,plain,
( ( sF8 != fact1(1) )
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52 ),
inference(evaluation,[],[f1047]) ).
tff(f1047,plain,
( ( sF8 != fact1(1) )
| ( 0 = 1 )
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52 ),
inference(forward_demodulation,[],[f971,f958]) ).
tff(f971,plain,
( ( 1 = sF8 )
| ( sF8 != fact1(1) )
| ~ spl18_9
| ~ spl18_15 ),
inference(forward_demodulation,[],[f970,f160]) ).
tff(f970,plain,
( ( fact1(0) = sF8 )
| ( sF8 != fact1(1) )
| ~ spl18_15 ),
inference(evaluation,[],[f969]) ).
tff(f969,plain,
( ~ $less(0,1)
| ( sF8 != fact1(1) )
| ( fact1($sum(1,-1)) = sF8 )
| ~ spl18_15 ),
inference(superposition,[],[f773,f120]) ).
tff(f773,plain,
( ! [X16: $int] :
( ( sF8 != $product(1,X16) )
| ( sF8 = X16 ) )
| ~ spl18_15 ),
inference(backward_demodulation,[],[f690,f714]) ).
tff(f714,plain,
( ( sF8 = sF9 )
| ~ spl18_15 ),
inference(gaussian_variable_elimination,[],[f690]) ).
tff(f690,plain,
( ! [X16: $int] :
( ( sF9 != $product(1,X16) )
| ( sF8 = X16 ) )
| ~ spl18_15 ),
inference(evaluation,[],[f679]) ).
tff(f679,plain,
( ! [X16: $int] :
( ( sF8 = X16 )
| ( sF9 != $product(1,X16) )
| ( 0 = 1 ) )
| ~ spl18_15 ),
inference(superposition,[],[f608,f193]) ).
tff(f1069,plain,
( spl18_60
| ~ spl18_47
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f1061,f914,f893,f1067]) ).
tff(f914,plain,
( spl18_49
<=> ( $sum(sK4,-1) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_49])]) ).
tff(f1061,plain,
( $less(-1,sK6)
| ~ spl18_47
| ~ spl18_49 ),
inference(subsumption_resolution,[],[f1056,f894]) ).
tff(f1056,plain,
( $less(-1,sK6)
| ~ $less(0,sK4)
| ~ spl18_49 ),
inference(superposition,[],[f921,f228]) ).
tff(f228,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f24,f26]) ).
tff(f26,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f24,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f921,plain,
( ! [X1: $int] :
( $less($sum(X1,-1),sK6)
| ~ $less(X1,sK4) )
| ~ spl18_49 ),
inference(superposition,[],[f32,f915]) ).
tff(f915,plain,
( ( $sum(sK4,-1) = sK6 )
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f914]) ).
tff(f32,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f1065,plain,
( ~ spl18_59
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f1046,f960,f957,f192,f159,f1063]) ).
tff(f960,plain,
( spl18_53
<=> ( 0 = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_53])]) ).
tff(f1046,plain,
( ( 0 != fact1(1) )
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52
| ~ spl18_53 ),
inference(forward_demodulation,[],[f1045,f995]) ).
tff(f995,plain,
( ( 0 = sF9 )
| ~ spl18_53 ),
inference(avatar_component_clause,[],[f960]) ).
tff(f1045,plain,
( ( fact1(1) != sF9 )
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52 ),
inference(evaluation,[],[f1044]) ).
tff(f1044,plain,
( ( fact1(1) != sF9 )
| ( 0 = 1 )
| ~ spl18_9
| ~ spl18_15
| ~ spl18_52 ),
inference(forward_demodulation,[],[f731,f958]) ).
tff(f731,plain,
( ( 1 = sF8 )
| ( fact1(1) != sF9 )
| ~ spl18_9
| ~ spl18_15 ),
inference(forward_demodulation,[],[f728,f160]) ).
tff(f728,plain,
( ( fact1(0) = sF8 )
| ( fact1(1) != sF9 )
| ~ spl18_15 ),
inference(evaluation,[],[f726]) ).
tff(f726,plain,
( ( fact1($sum(1,-1)) = sF8 )
| ~ $less(0,1)
| ( fact1(1) != sF9 )
| ~ spl18_15 ),
inference(superposition,[],[f690,f120]) ).
tff(f1031,plain,
( spl18_42
| ~ spl18_41
| ~ spl18_47 ),
inference(avatar_split_clause,[],[f1029,f893,f847,f850]) ).
tff(f847,plain,
( spl18_41
<=> $less(sK6,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).
tff(f1029,plain,
( $less(sK6,sK4)
| ~ spl18_41
| ~ spl18_47 ),
inference(resolution,[],[f896,f848]) ).
tff(f848,plain,
( $less(sK6,0)
| ~ spl18_41 ),
inference(avatar_component_clause,[],[f847]) ).
tff(f896,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK4) )
| ~ spl18_47 ),
inference(resolution,[],[f894,f30]) ).
tff(f1004,plain,
( spl18_58
| ~ spl18_28
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f977,f957,f777,f1002]) ).
tff(f777,plain,
( spl18_28
<=> ( sF8 = $product(sK3,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).
tff(f977,plain,
( ( 0 = $product(sK3,sF11) )
| ~ spl18_28
| ~ spl18_52 ),
inference(backward_demodulation,[],[f778,f958]) ).
tff(f778,plain,
( ( sF8 = $product(sK3,sF11) )
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f777]) ).
tff(f1000,plain,
( spl18_57
| ~ spl18_10
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f972,f957,f164,f998]) ).
tff(f998,plain,
( spl18_57
<=> ( 0 = fact1(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_57])]) ).
tff(f164,plain,
( spl18_10
<=> ( sF8 = fact1(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).
tff(f972,plain,
( ( 0 = fact1(sK0) )
| ~ spl18_10
| ~ spl18_52 ),
inference(backward_demodulation,[],[f165,f958]) ).
tff(f165,plain,
( ( sF8 = fact1(sK0) )
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f996,plain,
( spl18_53
| ~ spl18_12
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f976,f957,f174,f960]) ).
tff(f976,plain,
( ( 0 = sF9 )
| ~ spl18_12
| ~ spl18_52 ),
inference(backward_demodulation,[],[f774,f958]) ).
tff(f994,plain,
( ~ spl18_56
| spl18_32
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f978,f957,f792,f991]) ).
tff(f792,plain,
( spl18_32
<=> ( sF8 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).
tff(f978,plain,
( ( 0 != sK3 )
| spl18_32
| ~ spl18_52 ),
inference(backward_demodulation,[],[f793,f958]) ).
tff(f793,plain,
( ( sF8 != sK3 )
| spl18_32 ),
inference(avatar_component_clause,[],[f792]) ).
tff(f993,plain,
( ~ spl18_56
| ~ spl18_11
| spl18_35
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f981,f957,f814,f170,f991]) ).
tff(f170,plain,
( spl18_11
<=> ( sF8 = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).
tff(f814,plain,
( spl18_35
<=> ( sF10 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).
tff(f981,plain,
( ( 0 != sK3 )
| ~ spl18_11
| spl18_35
| ~ spl18_52 ),
inference(backward_demodulation,[],[f815,f973]) ).
tff(f973,plain,
( ( 0 = sF10 )
| ~ spl18_11
| ~ spl18_52 ),
inference(backward_demodulation,[],[f171,f958]) ).
tff(f171,plain,
( ( sF8 = sF10 )
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f170]) ).
tff(f815,plain,
( ( sF10 != sK3 )
| spl18_35 ),
inference(avatar_component_clause,[],[f814]) ).
tff(f989,plain,
( spl18_55
| ~ spl18_27
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f974,f957,f763,f987]) ).
tff(f987,plain,
( spl18_55
<=> ( 0 = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_55])]) ).
tff(f763,plain,
( spl18_27
<=> ( sF8 = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
tff(f974,plain,
( ( 0 = sF12 )
| ~ spl18_27
| ~ spl18_52 ),
inference(backward_demodulation,[],[f764,f958]) ).
tff(f764,plain,
( ( sF8 = sF12 )
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f763]) ).
tff(f985,plain,
( spl18_54
| ~ spl18_11
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f973,f957,f170,f983]) ).
tff(f983,plain,
( spl18_54
<=> ( 0 = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_54])]) ).
tff(f962,plain,
( spl18_52
| ~ spl18_53
| ~ spl18_15 ),
inference(avatar_split_clause,[],[f724,f192,f960,f957]) ).
tff(f724,plain,
( ( 0 != sF9 )
| ( 0 = sF8 )
| ~ spl18_15 ),
inference(superposition,[],[f690,f38]) ).
tff(f938,plain,
( spl18_51
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f924,f914,f933]) ).
tff(f933,plain,
( spl18_51
<=> ( $sum(-1,sK4) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).
tff(f924,plain,
( ( $sum(-1,sK4) = sK6 )
| ~ spl18_49 ),
inference(superposition,[],[f24,f915]) ).
tff(f937,plain,
( spl18_51
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f923,f914,f933]) ).
tff(f923,plain,
( ( $sum(-1,sK4) = sK6 )
| ~ spl18_49 ),
inference(superposition,[],[f24,f915]) ).
tff(f936,plain,
( spl18_51
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f918,f914,f933]) ).
tff(f918,plain,
( ( $sum(-1,sK4) = sK6 )
| ~ spl18_49 ),
inference(superposition,[],[f915,f24]) ).
tff(f935,plain,
( spl18_51
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f917,f914,f933]) ).
tff(f917,plain,
( ( $sum(-1,sK4) = sK6 )
| ~ spl18_49 ),
inference(superposition,[],[f915,f24]) ).
tff(f931,plain,
( spl18_50
| ~ spl18_13
| ~ spl18_14
| ~ spl18_47
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f927,f914,f893,f182,f178,f929]) ).
tff(f182,plain,
( spl18_14
<=> ( sF16 = fact1(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
tff(f927,plain,
( ( sF11 = $product(sK4,sF16) )
| ~ spl18_13
| ~ spl18_14
| ~ spl18_47
| ~ spl18_49 ),
inference(forward_demodulation,[],[f926,f179]) ).
tff(f926,plain,
( ( fact1(sK4) = $product(sK4,sF16) )
| ~ spl18_14
| ~ spl18_47
| ~ spl18_49 ),
inference(forward_demodulation,[],[f925,f183]) ).
tff(f183,plain,
( ( sF16 = fact1(sK6) )
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f925,plain,
( ( fact1(sK4) = $product(sK4,fact1(sK6)) )
| ~ spl18_47
| ~ spl18_49 ),
inference(subsumption_resolution,[],[f919,f894]) ).
tff(f919,plain,
( ~ $less(0,sK4)
| ( fact1(sK4) = $product(sK4,fact1(sK6)) )
| ~ spl18_49 ),
inference(superposition,[],[f120,f915]) ).
tff(f916,plain,
( spl18_49
| ~ spl18_19
| ~ spl18_31 ),
inference(avatar_split_clause,[],[f912,f788,f209,f914]) ).
tff(f209,plain,
( spl18_19
<=> ( $sum(sK4,-1) = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).
tff(f788,plain,
( spl18_31
<=> ( sK6 = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).
tff(f912,plain,
( ( $sum(sK4,-1) = sK6 )
| ~ spl18_19
| ~ spl18_31 ),
inference(forward_demodulation,[],[f210,f789]) ).
tff(f789,plain,
( ( sK6 = sF15 )
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f788]) ).
tff(f210,plain,
( ( $sum(sK4,-1) = sF15 )
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f901,plain,
( spl18_48
| ~ spl18_17
| ~ spl18_33 ),
inference(avatar_split_clause,[],[f897,f797,f200,f899]) ).
tff(f200,plain,
( spl18_17
<=> ( sF13 = $product(sK3,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
tff(f797,plain,
( spl18_33
<=> ( sF13 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_33])]) ).
tff(f897,plain,
( ( sK5 = $product(sK3,sK4) )
| ~ spl18_17
| ~ spl18_33 ),
inference(forward_demodulation,[],[f201,f798]) ).
tff(f798,plain,
( ( sF13 = sK5 )
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f797]) ).
tff(f201,plain,
( ( sF13 = $product(sK3,sK4) )
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f200]) ).
tff(f895,plain,
( spl18_30
| spl18_47
| spl18_29 ),
inference(avatar_split_clause,[],[f795,f781,f893,f785]) ).
tff(f781,plain,
( spl18_29
<=> $less(sK4,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).
tff(f795,plain,
( $less(0,sK4)
| ( 0 = sK4 )
| spl18_29 ),
inference(resolution,[],[f782,f31]) ).
tff(f31,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(theory_axiom_149,[]) ).
tff(f782,plain,
( ~ $less(sK4,0)
| spl18_29 ),
inference(avatar_component_clause,[],[f781]) ).
tff(f879,plain,
( spl18_46
| ~ spl18_23
| ~ spl18_41 ),
inference(avatar_split_clause,[],[f859,f847,f305,f877]) ).
tff(f305,plain,
( spl18_23
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
tff(f859,plain,
( $less(sK6,sK0)
| ~ spl18_23
| ~ spl18_41 ),
inference(resolution,[],[f848,f311]) ).
tff(f311,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK0) )
| ~ spl18_23 ),
inference(resolution,[],[f306,f30]) ).
tff(f306,plain,
( $less(0,sK0)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f305]) ).
tff(f867,plain,
( ~ spl18_44
| spl18_45
| ~ spl18_6
| ~ spl18_23
| ~ spl18_41 ),
inference(avatar_split_clause,[],[f857,f847,f305,f144,f865,f862]) ).
tff(f862,plain,
( spl18_44
<=> even1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_44])]) ).
tff(f865,plain,
( spl18_45
<=> ! [X2: $int] :
( $less(X2,sK0)
| $less(sK6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_45])]) ).
tff(f144,plain,
( spl18_6
<=> even1(0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
tff(f857,plain,
( ! [X2: $int] :
( $less(X2,sK0)
| $less(sK6,X2)
| ~ even1(sK6) )
| ~ spl18_6
| ~ spl18_23
| ~ spl18_41 ),
inference(resolution,[],[f848,f387]) ).
tff(f387,plain,
( ! [X10: $int,X9: $int] :
( ~ $less(X9,0)
| $less(X10,sK0)
| $less(X9,X10)
| ~ even1(X9) )
| ~ spl18_6
| ~ spl18_23 ),
inference(subsumption_resolution,[],[f379,f145]) ).
tff(f145,plain,
( even1(0)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f144]) ).
tff(f379,plain,
( ! [X10: $int,X9: $int] :
( ~ even1(X9)
| $less(X10,sK0)
| $less(X9,X10)
| ~ even1(0)
| ~ $less(X9,0) )
| ~ spl18_23 ),
inference(superposition,[],[f88,f359]) ).
tff(f359,plain,
( ! [X0: $int,X1: $int] :
( ( 0 = $sum(X1,1) )
| $less(X0,sK0)
| $less(X1,X0)
| ~ $less(X1,0) )
| ~ spl18_23 ),
inference(resolution,[],[f320,f33]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f320,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| $less(X1,sK0)
| ~ $less(X0,0)
| ( 0 = $sum(X0,1) ) )
| ~ spl18_23 ),
inference(resolution,[],[f316,f30]) ).
tff(f316,plain,
( ! [X2: $int] :
( $less($sum(X2,1),sK0)
| ( 0 = $sum(X2,1) )
| ~ $less(X2,0) )
| ~ spl18_23 ),
inference(resolution,[],[f312,f41]) ).
tff(f41,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f312,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sK0)
| ( 0 = X0 ) )
| ~ spl18_23 ),
inference(resolution,[],[f311,f31]) ).
tff(f88,plain,
! [X0: $int] :
( ~ even1($sum(X0,1))
| ~ even1(X0) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: $int] :
( ~ even1($sum(X0,1))
| $false
| ~ even1(X0) ),
inference(flattening,[],[f66]) ).
tff(f66,plain,
! [X0: $int] :
( $false
| ~ even1($sum(X0,1))
| ~ even1(X0) ),
inference(ennf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: $int] :
( even1(X0)
=> ( even1($sum(X0,1))
=> $false ) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X1: $int] :
( even1(X1)
=> ( even1($sum(X1,1))
=> $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_not_odd) ).
tff(f855,plain,
( spl18_41
| ~ spl18_42
| spl18_30
| ~ spl18_43
| ~ spl18_1
| spl18_3
| ~ spl18_11
| ~ spl18_12 ),
inference(avatar_split_clause,[],[f844,f174,f170,f131,f123,f853,f785,f850,f847]) ).
tff(f853,plain,
( spl18_43
<=> ( sF8 = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_43])]) ).
tff(f123,plain,
( spl18_1
<=> ( sK0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
tff(f131,plain,
( spl18_3
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
tff(f844,plain,
( ( sF8 != sF17 )
| ( 0 = sK4 )
| ~ $less(sK6,sK4)
| $less(sK6,0)
| ~ spl18_1
| spl18_3
| ~ spl18_11
| ~ spl18_12 ),
inference(subsumption_resolution,[],[f740,f774]) ).
tff(f740,plain,
( ~ $less(sK6,sK4)
| $less(sK6,0)
| ( 0 = sK4 )
| ( sF8 != sF17 )
| ( sF8 != sF9 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(subsumption_resolution,[],[f188,f30]) ).
tff(f188,plain,
( ( sF8 != sF17 )
| ( sF8 != sF9 )
| ( 0 = sK4 )
| $less(sK6,0)
| ~ $less(sK6,sK4)
| $less(sK4,0)
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(forward_demodulation,[],[f187,f171]) ).
tff(f187,plain,
( ~ $less(sK6,sK4)
| $less(sK4,0)
| $less(sK6,0)
| ( sF8 != sF17 )
| ( 0 = sK4 )
| ( sF9 != sF10 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(subsumption_resolution,[],[f186,f132]) ).
tff(f132,plain,
( ~ $less(sK0,0)
| spl18_3 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f186,plain,
( $less(sK0,0)
| ( sF9 != sF10 )
| $less(sK6,0)
| ~ $less(sK6,sK4)
| $less(sK4,0)
| ( 0 = sK4 )
| ( sF8 != sF17 )
| ~ spl18_1
| ~ spl18_11 ),
inference(forward_demodulation,[],[f185,f124]) ).
tff(f124,plain,
( ( sK0 = sK2 )
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f185,plain,
( $less(sK4,0)
| $less(sK6,0)
| ( sF8 != sF17 )
| ( 0 = sK4 )
| $less(sK2,0)
| ~ $less(sK6,sK4)
| ( sF9 != sF10 )
| ~ spl18_11 ),
inference(forward_demodulation,[],[f118,f171]) ).
tff(f118,plain,
( $less(sK6,0)
| ~ $less(sK6,sK4)
| ( sF10 != sF17 )
| ( 0 = sK4 )
| $less(sK4,0)
| ( sF9 != sF10 )
| $less(sK2,0) ),
inference(definition_folding,[],[f71,f103,f117,f116,f103,f102,f101]) ).
tff(f101,plain,
sF8 = fact1(sK2),
introduced(function_definition,[]) ).
tff(f102,plain,
sF9 = $product(sK1,sF8),
introduced(function_definition,[]) ).
tff(f116,plain,
sF16 = fact1(sK6),
introduced(function_definition,[]) ).
tff(f117,plain,
sF17 = $product(sK5,sF16),
introduced(function_definition,[]) ).
tff(f103,plain,
sF10 = fact1(sK0),
introduced(function_definition,[]) ).
tff(f71,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| $less(sK6,0)
| ( $product(sK5,fact1(sK6)) != fact1(sK0) )
| ~ $less(sK6,sK4)
| $less(sK4,0)
| ( 0 = sK4 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
? [X0: $int] :
( ? [X1: $int] :
( ( 1 = X1 )
& ? [X2: $int] :
( ( ? [X3: $int,X4: $int] :
( ( fact1(X0) = $product(X3,fact1(X4)) )
& ( ( ( fact1(X0) != X3 )
& ( 0 = X4 ) )
| ( ( 0 != X4 )
& ? [X5: $int] :
( ( $product(X3,X4) = X5 )
& ? [X6: $int] :
( ( $less(X4,0)
| ~ $less(X6,X4)
| ( $product(X5,fact1(X6)) != fact1(X0) )
| $less(X6,0) )
& ( $sum(X4,$uminus(1)) = X6 ) ) ) ) )
& ~ $less(X4,0) )
| ( $product(X1,fact1(X2)) != fact1(X0) )
| $less(X2,0) )
& ( X0 = X2 ) ) )
& ~ $less(X0,0) ),
inference(flattening,[],[f60]) ).
tff(f60,plain,
? [X0: $int] :
( ? [X1: $int] :
( ? [X2: $int] :
( ( $less(X2,0)
| ( $product(X1,fact1(X2)) != fact1(X0) )
| ? [X3: $int,X4: $int] :
( ( ( ( fact1(X0) != X3 )
& ( 0 = X4 ) )
| ( ( 0 != X4 )
& ? [X5: $int] :
( ( $product(X3,X4) = X5 )
& ? [X6: $int] :
( ( $less(X4,0)
| ~ $less(X6,X4)
| ( $product(X5,fact1(X6)) != fact1(X0) )
| $less(X6,0) )
& ( $sum(X4,$uminus(1)) = X6 ) ) ) ) )
& ~ $less(X4,0)
& ( fact1(X0) = $product(X3,fact1(X4)) ) ) )
& ( X0 = X2 ) )
& ( 1 = X1 ) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f50]) ).
tff(f50,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ! [X1: $int] :
( ( 1 = X1 )
=> ! [X2: $int] :
( ( X0 = X2 )
=> ( ~ $less(X2,0)
& ( $product(X1,fact1(X2)) = fact1(X0) )
& ! [X3: $int,X4: $int] :
( ( ~ $less(X4,0)
& ( fact1(X0) = $product(X3,fact1(X4)) ) )
=> ( ( ( 0 = X4 )
=> ( fact1(X0) = X3 ) )
& ( ( 0 != X4 )
=> ! [X5: $int] :
( ( $product(X3,X4) = X5 )
=> ! [X6: $int] :
( ( $sum(X4,$uminus(1)) = X6 )
=> ( ( $product(X5,fact1(X6)) = fact1(X0) )
& $less(X6,X4)
& ~ $less(X4,0)
& ~ $less(X6,0) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f22]) ).
tff(f22,plain,
~ ! [X1: $int] :
( ~ $less(X1,0)
=> ! [X7: $int] :
( ( 1 = X7 )
=> ! [X4: $int] :
( ( X1 = X4 )
=> ( ~ $less(X4,0)
& ( $product(X7,fact1(X4)) = fact1(X1) )
& ! [X9: $int,X5: $int] :
( ( ~ $less(X5,0)
& ( fact1(X1) = $product(X9,fact1(X5)) ) )
=> ( ( ( 0 != X5 )
=> ! [X10: $int] :
( ( $product(X9,X5) = X10 )
=> ! [X11: $int] :
( ( $sum(X5,$uminus(1)) = X11 )
=> ( $less(X11,X5)
& ~ $less(X11,0)
& ( fact1(X1) = $product(X10,fact1(X11)) )
& ~ $less(X5,0) ) ) ) )
& ( ( 0 = X5 )
=> ( fact1(X1) = X9 ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f20]) ).
tff(f20,negated_conjecture,
~ ! [X1: $int] :
( $lesseq(0,X1)
=> ! [X7: $int] :
( ( 1 = X7 )
=> ! [X4: $int] :
( ( X1 = X4 )
=> ( $lesseq(0,X4)
& ( $product(X7,fact1(X4)) = fact1(X1) )
& ! [X9: $int,X5: $int] :
( ( $lesseq(0,X5)
& ( fact1(X1) = $product(X9,fact1(X5)) ) )
=> ( ( ( 0 != X5 )
=> ! [X10: $int] :
( ( $product(X9,X5) = X10 )
=> ! [X11: $int] :
( ( $difference(X5,1) = X11 )
=> ( $less(X11,X5)
& $lesseq(0,X11)
& ( fact1(X1) = $product(X10,fact1(X11)) )
& $lesseq(0,X5) ) ) ) )
& ( ( 0 = X5 )
=> ( fact1(X1) = X9 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
tff(f19,conjecture,
! [X1: $int] :
( $lesseq(0,X1)
=> ! [X7: $int] :
( ( 1 = X7 )
=> ! [X4: $int] :
( ( X1 = X4 )
=> ( $lesseq(0,X4)
& ( $product(X7,fact1(X4)) = fact1(X1) )
& ! [X9: $int,X5: $int] :
( ( $lesseq(0,X5)
& ( fact1(X1) = $product(X9,fact1(X5)) ) )
=> ( ( ( 0 != X5 )
=> ! [X10: $int] :
( ( $product(X9,X5) = X10 )
=> ! [X11: $int] :
( ( $difference(X5,1) = X11 )
=> ( $less(X11,X5)
& $lesseq(0,X11)
& ( fact1(X1) = $product(X10,fact1(X11)) )
& $lesseq(0,X5) ) ) ) )
& ( ( 0 = X5 )
=> ( fact1(X1) = X9 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_factorial) ).
tff(f843,plain,
( ~ spl18_28
| spl18_32
| ~ spl18_34 ),
inference(avatar_contradiction_clause,[],[f842]) ).
tff(f842,plain,
( $false
| ~ spl18_28
| spl18_32
| ~ spl18_34 ),
inference(subsumption_resolution,[],[f841,f793]) ).
tff(f841,plain,
( ( sF8 = sK3 )
| ~ spl18_28
| ~ spl18_34 ),
inference(forward_demodulation,[],[f840,f37]) ).
tff(f37,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f840,plain,
( ( sF8 = $product(sK3,1) )
| ~ spl18_28
| ~ spl18_34 ),
inference(forward_demodulation,[],[f778,f809]) ).
tff(f809,plain,
( ( 1 = sF11 )
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f808]) ).
tff(f808,plain,
( spl18_34
<=> ( 1 = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).
tff(f839,plain,
( spl18_40
| ~ spl18_15 ),
inference(avatar_split_clause,[],[f766,f192,f837]) ).
tff(f837,plain,
( spl18_40
<=> ( sF8 = $product(1,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).
tff(f766,plain,
( ( sF8 = $product(1,sF8) )
| ~ spl18_15 ),
inference(backward_demodulation,[],[f193,f714]) ).
tff(f834,plain,
( spl18_39
| ~ spl18_14
| ~ spl18_19
| ~ spl18_30
| ~ spl18_31 ),
inference(avatar_split_clause,[],[f826,f788,f785,f209,f182,f832]) ).
tff(f832,plain,
( spl18_39
<=> ( fact1(-1) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_39])]) ).
tff(f826,plain,
( ( fact1(-1) = sF16 )
| ~ spl18_14
| ~ spl18_19
| ~ spl18_30
| ~ spl18_31 ),
inference(backward_demodulation,[],[f183,f817]) ).
tff(f817,plain,
( ( sK6 = -1 )
| ~ spl18_19
| ~ spl18_30
| ~ spl18_31 ),
inference(backward_demodulation,[],[f789,f804]) ).
tff(f804,plain,
( ( sF15 = -1 )
| ~ spl18_19
| ~ spl18_30 ),
inference(evaluation,[],[f801]) ).
tff(f801,plain,
( ( sF15 = $sum(0,-1) )
| ~ spl18_19
| ~ spl18_30 ),
inference(backward_demodulation,[],[f210,f786]) ).
tff(f786,plain,
( ( 0 = sK4 )
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f785]) ).
tff(f830,plain,
( spl18_38
| ~ spl18_19
| ~ spl18_30
| ~ spl18_31 ),
inference(avatar_split_clause,[],[f817,f788,f785,f209,f828]) ).
tff(f828,plain,
( spl18_38
<=> ( sK6 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).
tff(f825,plain,
( spl18_37
| ~ spl18_17
| ~ spl18_30 ),
inference(avatar_split_clause,[],[f806,f785,f200,f823]) ).
tff(f823,plain,
( spl18_37
<=> ( 0 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).
tff(f806,plain,
( ( 0 = sF13 )
| ~ spl18_17
| ~ spl18_30 ),
inference(forward_demodulation,[],[f802,f38]) ).
tff(f802,plain,
( ( $product(sK3,0) = sF13 )
| ~ spl18_17
| ~ spl18_30 ),
inference(backward_demodulation,[],[f201,f786]) ).
tff(f821,plain,
( spl18_36
| ~ spl18_19
| ~ spl18_30 ),
inference(avatar_split_clause,[],[f804,f785,f209,f819]) ).
tff(f819,plain,
( spl18_36
<=> ( sF15 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).
tff(f816,plain,
( ~ spl18_12
| ~ spl18_35
| ~ spl18_1
| spl18_3
| ~ spl18_11
| ~ spl18_30 ),
inference(avatar_split_clause,[],[f812,f785,f170,f131,f123,f814,f174]) ).
tff(f812,plain,
( ( sF10 != sK3 )
| ( sF8 != sF9 )
| ~ spl18_1
| spl18_3
| ~ spl18_11
| ~ spl18_30 ),
inference(subsumption_resolution,[],[f759,f786]) ).
tff(f759,plain,
( ( 0 != sK4 )
| ( sF10 != sK3 )
| ( sF8 != sF9 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(forward_demodulation,[],[f758,f171]) ).
tff(f758,plain,
( ( sF9 != sF10 )
| ( sF10 != sK3 )
| ( 0 != sK4 )
| ~ spl18_1
| spl18_3 ),
inference(subsumption_resolution,[],[f757,f132]) ).
tff(f757,plain,
( ( sF9 != sF10 )
| ( sF10 != sK3 )
| $less(sK0,0)
| ( 0 != sK4 )
| ~ spl18_1 ),
inference(forward_demodulation,[],[f108,f124]) ).
tff(f108,plain,
( $less(sK2,0)
| ( 0 != sK4 )
| ( sF9 != sF10 )
| ( sF10 != sK3 ) ),
inference(definition_folding,[],[f76,f103,f103,f102,f101]) ).
tff(f76,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| ( 0 != sK4 )
| ( sK3 != fact1(sK0) ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f811,plain,
( ~ spl18_32
| spl18_33
| ~ spl18_12
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f756,f170,f131,f123,f174,f797,f792]) ).
tff(f756,plain,
( ( sF8 != sF9 )
| ( sF13 = sK5 )
| ( sF8 != sK3 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(subsumption_resolution,[],[f755,f132]) ).
tff(f755,plain,
( ( sF13 = sK5 )
| ( sF8 != sF9 )
| $less(sK0,0)
| ( sF8 != sK3 )
| ~ spl18_1
| ~ spl18_11 ),
inference(forward_demodulation,[],[f754,f124]) ).
tff(f754,plain,
( ( sF13 = sK5 )
| ( sF8 != sK3 )
| $less(sK2,0)
| ( sF8 != sF9 )
| ~ spl18_11 ),
inference(forward_demodulation,[],[f753,f171]) ).
tff(f753,plain,
( ( sF10 != sK3 )
| ( sF13 = sK5 )
| $less(sK2,0)
| ( sF8 != sF9 )
| ~ spl18_11 ),
inference(forward_demodulation,[],[f111,f171]) ).
tff(f111,plain,
( ( sF13 = sK5 )
| ( sF9 != sF10 )
| $less(sK2,0)
| ( sF10 != sK3 ) ),
inference(definition_folding,[],[f74,f103,f109,f103,f102,f101]) ).
tff(f109,plain,
sF13 = $product(sK3,sK4),
introduced(function_definition,[]) ).
tff(f74,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| ( sK5 = $product(sK3,sK4) )
| ( sK3 != fact1(sK0) ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f810,plain,
( spl18_34
| ~ spl18_9
| ~ spl18_13
| ~ spl18_30 ),
inference(avatar_split_clause,[],[f805,f785,f178,f159,f808]) ).
tff(f805,plain,
( ( 1 = sF11 )
| ~ spl18_9
| ~ spl18_13
| ~ spl18_30 ),
inference(forward_demodulation,[],[f803,f160]) ).
tff(f803,plain,
( ( fact1(0) = sF11 )
| ~ spl18_13
| ~ spl18_30 ),
inference(backward_demodulation,[],[f179,f786]) ).
tff(f799,plain,
( ~ spl18_12
| spl18_33
| spl18_30
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f747,f170,f131,f123,f785,f797,f174]) ).
tff(f747,plain,
( ( 0 = sK4 )
| ( sF13 = sK5 )
| ( sF8 != sF9 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(forward_demodulation,[],[f746,f171]) ).
tff(f746,plain,
( ( 0 = sK4 )
| ( sF9 != sF10 )
| ( sF13 = sK5 )
| ~ spl18_1
| spl18_3 ),
inference(subsumption_resolution,[],[f745,f132]) ).
tff(f745,plain,
( ( sF13 = sK5 )
| ( sF9 != sF10 )
| $less(sK0,0)
| ( 0 = sK4 )
| ~ spl18_1 ),
inference(forward_demodulation,[],[f110,f124]) ).
tff(f110,plain,
( ( sF13 = sK5 )
| $less(sK2,0)
| ( sF9 != sF10 )
| ( 0 = sK4 ) ),
inference(definition_folding,[],[f75,f109,f103,f102,f101]) ).
tff(f75,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| ( sK5 = $product(sK3,sK4) )
| ( 0 = sK4 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f794,plain,
( spl18_31
| ~ spl18_32
| ~ spl18_12
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f744,f170,f131,f123,f174,f792,f788]) ).
tff(f744,plain,
( ( sF8 != sF9 )
| ( sF8 != sK3 )
| ( sK6 = sF15 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(forward_demodulation,[],[f743,f171]) ).
tff(f743,plain,
( ( sF10 != sK3 )
| ( sK6 = sF15 )
| ( sF8 != sF9 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(forward_demodulation,[],[f742,f171]) ).
tff(f742,plain,
( ( sF9 != sF10 )
| ( sK6 = sF15 )
| ( sF10 != sK3 )
| ~ spl18_1
| spl18_3 ),
inference(subsumption_resolution,[],[f741,f132]) ).
tff(f741,plain,
( ( sF9 != sF10 )
| ( sF10 != sK3 )
| $less(sK0,0)
| ( sK6 = sF15 )
| ~ spl18_1 ),
inference(forward_demodulation,[],[f114,f124]) ).
tff(f114,plain,
( ( sK6 = sF15 )
| $less(sK2,0)
| ( sF9 != sF10 )
| ( sF10 != sK3 ) ),
inference(definition_folding,[],[f73,f103,f113,f112,f103,f102,f101]) ).
tff(f112,plain,
sF14 = $uminus(1),
introduced(function_definition,[]) ).
tff(f113,plain,
$sum(sK4,sF14) = sF15,
introduced(function_definition,[]) ).
tff(f73,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| ( $sum(sK4,$uminus(1)) = sK6 )
| ( sK3 != fact1(sK0) ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f790,plain,
( spl18_30
| spl18_31
| ~ spl18_12
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f736,f170,f131,f123,f174,f788,f785]) ).
tff(f736,plain,
( ( sF8 != sF9 )
| ( sK6 = sF15 )
| ( 0 = sK4 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(subsumption_resolution,[],[f735,f132]) ).
tff(f735,plain,
( ( sK6 = sF15 )
| ( sF8 != sF9 )
| ( 0 = sK4 )
| $less(sK0,0)
| ~ spl18_1
| ~ spl18_11 ),
inference(forward_demodulation,[],[f734,f124]) ).
tff(f734,plain,
( ( 0 = sK4 )
| ( sF8 != sF9 )
| $less(sK2,0)
| ( sK6 = sF15 )
| ~ spl18_11 ),
inference(forward_demodulation,[],[f115,f171]) ).
tff(f115,plain,
( ( sF9 != sF10 )
| ( sK6 = sF15 )
| $less(sK2,0)
| ( 0 = sK4 ) ),
inference(definition_folding,[],[f72,f113,f112,f103,f102,f101]) ).
tff(f72,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| ( $sum(sK4,$uminus(1)) = sK6 )
| ( 0 = sK4 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f783,plain,
( ~ spl18_12
| ~ spl18_29
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f739,f170,f131,f123,f781,f174]) ).
tff(f739,plain,
( ~ $less(sK4,0)
| ( sF8 != sF9 )
| ~ spl18_1
| spl18_3
| ~ spl18_11 ),
inference(subsumption_resolution,[],[f738,f132]) ).
tff(f738,plain,
( $less(sK0,0)
| ( sF8 != sF9 )
| ~ $less(sK4,0)
| ~ spl18_1
| ~ spl18_11 ),
inference(forward_demodulation,[],[f737,f124]) ).
tff(f737,plain,
( ( sF8 != sF9 )
| ~ $less(sK4,0)
| $less(sK2,0)
| ~ spl18_11 ),
inference(forward_demodulation,[],[f107,f171]) ).
tff(f107,plain,
( ( sF9 != sF10 )
| $less(sK2,0)
| ~ $less(sK4,0) ),
inference(definition_folding,[],[f77,f103,f102,f101]) ).
tff(f77,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| ~ $less(sK4,0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f779,plain,
( spl18_28
| ~ spl18_5
| ~ spl18_11
| ~ spl18_16 ),
inference(avatar_split_clause,[],[f761,f196,f170,f140,f777]) ).
tff(f140,plain,
( spl18_5
<=> ( sF10 = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
tff(f196,plain,
( spl18_16
<=> ( sF12 = $product(sK3,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).
tff(f761,plain,
( ( sF8 = $product(sK3,sF11) )
| ~ spl18_5
| ~ spl18_11
| ~ spl18_16 ),
inference(backward_demodulation,[],[f197,f760]) ).
tff(f760,plain,
( ( sF8 = sF12 )
| ~ spl18_5
| ~ spl18_11 ),
inference(forward_demodulation,[],[f141,f171]) ).
tff(f141,plain,
( ( sF10 = sF12 )
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f140]) ).
tff(f197,plain,
( ( sF12 = $product(sK3,sF11) )
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f196]) ).
tff(f775,plain,
( spl18_12
| ~ spl18_15 ),
inference(avatar_split_clause,[],[f714,f192,f174]) ).
tff(f765,plain,
( spl18_27
| ~ spl18_5
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f760,f170,f140,f763]) ).
tff(f733,plain,
( spl18_12
| ~ spl18_15
| ~ spl18_26 ),
inference(avatar_contradiction_clause,[],[f732]) ).
tff(f732,plain,
( $false
| spl18_12
| ~ spl18_15
| ~ spl18_26 ),
inference(subsumption_resolution,[],[f727,f175]) ).
tff(f175,plain,
( ( sF8 != sF9 )
| spl18_12 ),
inference(avatar_component_clause,[],[f174]) ).
tff(f727,plain,
( ( sF8 = sF9 )
| ~ spl18_15
| ~ spl18_26 ),
inference(trivial_inequality_removal,[],[f721]) ).
tff(f721,plain,
( ( sF9 != sF9 )
| ( sF8 = sF9 )
| ~ spl18_15
| ~ spl18_26 ),
inference(superposition,[],[f690,f655]) ).
tff(f655,plain,
( ( sF9 = $product(1,sF9) )
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f654]) ).
tff(f654,plain,
( spl18_26
<=> ( sF9 = $product(1,sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
tff(f730,plain,
( spl18_12
| ~ spl18_15 ),
inference(avatar_contradiction_clause,[],[f729]) ).
tff(f729,plain,
( $false
| spl18_12
| ~ spl18_15 ),
inference(subsumption_resolution,[],[f714,f175]) ).
tff(f656,plain,
( spl18_26
| ~ spl18_15 ),
inference(avatar_split_clause,[],[f634,f192,f654]) ).
tff(f634,plain,
( ( sF9 = $product(1,sF9) )
| ~ spl18_15 ),
inference(superposition,[],[f490,f37]) ).
tff(f490,plain,
( ! [X0: $int] : ( $product(sF9,X0) = $product(1,$product(sF9,X0)) )
| ~ spl18_15 ),
inference(superposition,[],[f485,f35]) ).
tff(f35,plain,
! [X0: $int,X1: $int] : ( $product(X1,X0) = $product(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f485,plain,
( ! [X7: $int] : ( $product(sF9,X7) = $product(1,$product(X7,sF9)) )
| ~ spl18_15 ),
inference(forward_demodulation,[],[f468,f37]) ).
tff(f468,plain,
( ! [X7: $int] : ( $product(sF9,$product(X7,1)) = $product(1,$product(X7,sF9)) )
| ~ spl18_15 ),
inference(superposition,[],[f460,f193]) ).
tff(f460,plain,
( ! [X2: $int,X3: $int] : ( $product(sF9,$product(X2,X3)) = $product(1,$product(X2,$product(X3,sF8))) )
| ~ spl18_15 ),
inference(superposition,[],[f451,f36]) ).
tff(f36,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f451,plain,
( ! [X0: $int] : ( $product(sF9,X0) = $product(1,$product(X0,sF8)) )
| ~ spl18_15 ),
inference(superposition,[],[f433,f35]) ).
tff(f433,plain,
( ! [X14: $int] : ( $product(1,$product(sF8,X14)) = $product(sF9,X14) )
| ~ spl18_15 ),
inference(superposition,[],[f36,f193]) ).
tff(f563,plain,
( spl18_25
| ~ spl18_15 ),
inference(avatar_split_clause,[],[f497,f192,f518]) ).
tff(f518,plain,
( spl18_25
<=> ( $product(sF8,sF9) = $product(sF9,sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
tff(f497,plain,
( ( $product(sF8,sF9) = $product(sF9,sF9) )
| ~ spl18_15 ),
inference(forward_demodulation,[],[f493,f35]) ).
tff(f493,plain,
( ( $product(sF9,sF8) = $product(sF9,sF9) )
| ~ spl18_15 ),
inference(superposition,[],[f485,f433]) ).
tff(f520,plain,
( spl18_25
| ~ spl18_15 ),
inference(avatar_split_clause,[],[f496,f192,f518]) ).
tff(f496,plain,
( ( $product(sF8,sF9) = $product(sF9,sF9) )
| ~ spl18_15 ),
inference(forward_demodulation,[],[f494,f35]) ).
tff(f494,plain,
( ( $product(sF9,sF8) = $product(sF9,sF9) )
| ~ spl18_15 ),
inference(superposition,[],[f433,f485]) ).
tff(f310,plain,
( spl18_23
| spl18_24
| spl18_3 ),
inference(avatar_split_clause,[],[f283,f131,f308,f305]) ).
tff(f308,plain,
( spl18_24
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
tff(f283,plain,
( ( 0 = sK0 )
| $less(0,sK0)
| spl18_3 ),
inference(resolution,[],[f31,f132]) ).
tff(f281,plain,
( spl18_22
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f267,f144,f279]) ).
tff(f279,plain,
( spl18_22
<=> even1(2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).
tff(f267,plain,
( even1(2)
| ~ spl18_6 ),
inference(subsumption_resolution,[],[f262,f145]) ).
tff(f262,plain,
( ~ even1(0)
| even1(2) ),
inference(superposition,[],[f84,f228]) ).
tff(f84,plain,
! [X0: $int] :
( even1($sum(X0,2))
| ~ even1(X0) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0: $int] :
( even1($sum(X0,2))
| ~ even1(X0) ),
inference(ennf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: $int] :
( even1(X0)
=> even1($sum(X0,2)) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X1: $int] :
( even1(X1)
=> even1($sum(X1,2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_odd) ).
tff(f277,plain,
( ~ spl18_21
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f266,f144,f275]) ).
tff(f275,plain,
( spl18_21
<=> even1(1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).
tff(f266,plain,
( ~ even1(1)
| ~ spl18_6 ),
inference(subsumption_resolution,[],[f264,f145]) ).
tff(f264,plain,
( ~ even1(0)
| ~ even1(1) ),
inference(superposition,[],[f88,f228]) ).
tff(f227,plain,
( ~ spl18_20
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f223,f144,f225]) ).
tff(f225,plain,
( spl18_20
<=> even1(-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).
tff(f223,plain,
( ~ even1(-1)
| ~ spl18_6 ),
inference(subsumption_resolution,[],[f222,f145]) ).
tff(f222,plain,
( ~ even1(-1)
| ~ even1(0) ),
inference(evaluation,[],[f220]) ).
tff(f220,plain,
( ~ even1(0)
| ~ even1($uminus(1)) ),
inference(superposition,[],[f88,f212]) ).
tff(f212,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f28,f34]) ).
tff(f34,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f28,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f211,plain,
( spl18_19
| ~ spl18_8 ),
inference(avatar_split_clause,[],[f203,f153,f209]) ).
tff(f153,plain,
( spl18_8
<=> ( sF14 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).
tff(f203,plain,
( ( $sum(sK4,-1) = sF15 )
| ~ spl18_8 ),
inference(forward_demodulation,[],[f113,f154]) ).
tff(f154,plain,
( ( sF14 = -1 )
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f153]) ).
tff(f207,plain,
spl18_18,
inference(avatar_split_clause,[],[f117,f205]) ).
tff(f205,plain,
( spl18_18
<=> ( sF17 = $product(sK5,sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).
tff(f202,plain,
spl18_17,
inference(avatar_split_clause,[],[f109,f200]) ).
tff(f198,plain,
spl18_16,
inference(avatar_split_clause,[],[f105,f196]) ).
tff(f105,plain,
sF12 = $product(sK3,sF11),
introduced(function_definition,[]) ).
tff(f194,plain,
( spl18_15
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f190,f127,f192]) ).
tff(f127,plain,
( spl18_2
<=> ( 1 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
tff(f190,plain,
( ( sF9 = $product(1,sF8) )
| ~ spl18_2 ),
inference(forward_demodulation,[],[f102,f128]) ).
tff(f128,plain,
( ( 1 = sK1 )
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f184,plain,
spl18_14,
inference(avatar_split_clause,[],[f116,f182]) ).
tff(f180,plain,
spl18_13,
inference(avatar_split_clause,[],[f104,f178]) ).
tff(f104,plain,
fact1(sK4) = sF11,
introduced(function_definition,[]) ).
tff(f176,plain,
( ~ spl18_12
| spl18_4
| ~ spl18_10 ),
inference(avatar_split_clause,[],[f168,f164,f137,f174]) ).
tff(f137,plain,
( spl18_4
<=> ( sF9 = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
tff(f168,plain,
( ( sF8 != sF9 )
| spl18_4
| ~ spl18_10 ),
inference(backward_demodulation,[],[f138,f167]) ).
tff(f167,plain,
( ( sF8 = sF10 )
| ~ spl18_10 ),
inference(forward_demodulation,[],[f103,f165]) ).
tff(f138,plain,
( ( sF9 != sF10 )
| spl18_4 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f172,plain,
( spl18_11
| ~ spl18_10 ),
inference(avatar_split_clause,[],[f167,f164,f170]) ).
tff(f166,plain,
( spl18_10
| ~ spl18_1 ),
inference(avatar_split_clause,[],[f162,f123,f164]) ).
tff(f162,plain,
( ( sF8 = fact1(sK0) )
| ~ spl18_1 ),
inference(forward_demodulation,[],[f101,f124]) ).
tff(f161,plain,
spl18_9,
inference(avatar_split_clause,[],[f99,f159]) ).
tff(f99,plain,
1 = fact1(0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
1 = fact1(0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0) ).
tff(f155,plain,
spl18_8,
inference(avatar_split_clause,[],[f121,f153]) ).
tff(f121,plain,
sF14 = -1,
inference(evaluation,[],[f112]) ).
tff(f150,plain,
~ spl18_7,
inference(avatar_split_clause,[],[f93,f148]) ).
tff(f148,plain,
( spl18_7
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
tff(f93,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False) ).
tff(f146,plain,
spl18_6,
inference(avatar_split_clause,[],[f86,f144]) ).
tff(f86,plain,
even1(0),
inference(cnf_transformation,[],[f13]) ).
tff(f13,axiom,
even1(0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',even_0) ).
tff(f142,plain,
( ~ spl18_4
| spl18_5
| ~ spl18_1
| spl18_3 ),
inference(avatar_split_clause,[],[f135,f131,f123,f140,f137]) ).
tff(f135,plain,
( ( sF10 = sF12 )
| ( sF9 != sF10 )
| ~ spl18_1
| spl18_3 ),
inference(subsumption_resolution,[],[f134,f132]) ).
tff(f134,plain,
( $less(sK0,0)
| ( sF9 != sF10 )
| ( sF10 = sF12 )
| ~ spl18_1 ),
inference(forward_demodulation,[],[f106,f124]) ).
tff(f106,plain,
( ( sF9 != sF10 )
| $less(sK2,0)
| ( sF10 = sF12 ) ),
inference(definition_folding,[],[f78,f103,f105,f104,f103,f102,f101]) ).
tff(f78,plain,
( $less(sK2,0)
| ( $product(sK1,fact1(sK2)) != fact1(sK0) )
| ( $product(sK3,fact1(sK4)) = fact1(sK0) ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f133,plain,
~ spl18_3,
inference(avatar_split_clause,[],[f81,f131]) ).
tff(f81,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f61]) ).
tff(f129,plain,
spl18_2,
inference(avatar_split_clause,[],[f80,f127]) ).
tff(f80,plain,
1 = sK1,
inference(cnf_transformation,[],[f61]) ).
tff(f125,plain,
spl18_1,
inference(avatar_split_clause,[],[f79,f123]) ).
tff(f79,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW642=2 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 20:53:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (30073)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.50 % (30071)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (30081)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (30088)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52 % (30094)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52 % (30068)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52 % (30072)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (30093)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (30084)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (30091)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.53 % (30092)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53 % (30067)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.53 % (30085)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (30095)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53 % (30086)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (30086)Instruction limit reached!
% 0.20/0.53 % (30086)------------------------------
% 0.20/0.53 % (30086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30086)Termination reason: Unknown
% 0.20/0.53 % (30086)Termination phase: Preprocessing 1
% 0.20/0.53
% 0.20/0.53 % (30086)Memory used [KB]: 895
% 0.20/0.53 % (30086)Time elapsed: 0.002 s
% 0.20/0.53 % (30086)Instructions burned: 2 (million)
% 0.20/0.53 % (30086)------------------------------
% 0.20/0.53 % (30086)------------------------------
% 0.20/0.53 % (30079)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (30096)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.53 % (30079)Instruction limit reached!
% 0.20/0.53 % (30079)------------------------------
% 0.20/0.53 % (30079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30079)Termination reason: Unknown
% 0.20/0.53 % (30079)Termination phase: Naming
% 0.20/0.53
% 0.20/0.53 % (30079)Memory used [KB]: 1023
% 0.20/0.53 % (30079)Time elapsed: 0.003 s
% 0.20/0.53 % (30079)Instructions burned: 2 (million)
% 0.20/0.53 % (30079)------------------------------
% 0.20/0.53 % (30079)------------------------------
% 0.20/0.53 % (30070)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (30089)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53 % (30070)Instruction limit reached!
% 0.20/0.53 % (30070)------------------------------
% 0.20/0.53 % (30070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30070)Termination reason: Unknown
% 0.20/0.53 % (30070)Termination phase: Preprocessing 1
% 0.20/0.53
% 0.20/0.53 % (30070)Memory used [KB]: 895
% 0.20/0.53 % (30070)Time elapsed: 0.002 s
% 0.20/0.53 % (30070)Instructions burned: 3 (million)
% 0.20/0.53 % (30070)------------------------------
% 0.20/0.53 % (30070)------------------------------
% 0.20/0.54 % (30069)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (30087)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (30073)Instruction limit reached!
% 0.20/0.54 % (30073)------------------------------
% 0.20/0.54 % (30073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30090)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (30080)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (30078)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54 % (30083)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (30094)Instruction limit reached!
% 0.20/0.54 % (30094)------------------------------
% 0.20/0.54 % (30094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30094)Termination reason: Unknown
% 0.20/0.54 % (30094)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (30083)Instruction limit reached!
% 0.20/0.54 % (30083)------------------------------
% 0.20/0.54 % (30083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30094)Memory used [KB]: 5756
% 0.20/0.54 % (30094)Time elapsed: 0.142 s
% 0.20/0.54 % (30094)Instructions burned: 21 (million)
% 0.20/0.54 % (30083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30083)Termination reason: Unknown
% 0.20/0.54 % (30094)------------------------------
% 0.20/0.54 % (30094)------------------------------
% 0.20/0.54 % (30083)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (30083)Memory used [KB]: 1023
% 0.20/0.54 % (30083)Time elapsed: 0.002 s
% 0.20/0.54 % (30083)Instructions burned: 3 (million)
% 0.20/0.54 % (30083)------------------------------
% 0.20/0.54 % (30083)------------------------------
% 0.20/0.54 % (30076)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (30077)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.54 % (30076)Instruction limit reached!
% 0.20/0.54 % (30076)------------------------------
% 0.20/0.54 % (30076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30076)Termination reason: Unknown
% 0.20/0.54 % (30076)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (30076)Memory used [KB]: 1023
% 0.20/0.54 % (30076)Time elapsed: 0.002 s
% 0.20/0.54 % (30076)Instructions burned: 3 (million)
% 0.20/0.54 % (30076)------------------------------
% 0.20/0.54 % (30076)------------------------------
% 0.20/0.54 % (30078)Instruction limit reached!
% 0.20/0.54 % (30078)------------------------------
% 0.20/0.54 % (30078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30082)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (30075)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.55 % (30082)Instruction limit reached!
% 0.20/0.55 % (30082)------------------------------
% 0.20/0.55 % (30082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30082)Termination reason: Unknown
% 0.20/0.55 % (30082)Termination phase: SInE selection
% 0.20/0.55
% 0.20/0.55 % (30082)Memory used [KB]: 895
% 0.20/0.55 % (30082)Time elapsed: 0.006 s
% 0.20/0.55 % (30082)Instructions burned: 2 (million)
% 0.20/0.55 % (30082)------------------------------
% 0.20/0.55 % (30082)------------------------------
% 0.20/0.55 % (30088)Instruction limit reached!
% 0.20/0.55 % (30088)------------------------------
% 0.20/0.55 % (30088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30088)Termination reason: Unknown
% 0.20/0.55 % (30088)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (30088)Memory used [KB]: 5756
% 0.20/0.55 % (30088)Time elapsed: 0.147 s
% 0.20/0.55 % (30088)Instructions burned: 23 (million)
% 0.20/0.55 % (30088)------------------------------
% 0.20/0.55 % (30088)------------------------------
% 0.20/0.55 % (30073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30073)Termination reason: Unknown
% 0.20/0.55 % (30073)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (30073)Memory used [KB]: 6012
% 0.20/0.55 % (30073)Time elapsed: 0.137 s
% 0.20/0.55 % (30073)Instructions burned: 32 (million)
% 0.20/0.55 % (30073)------------------------------
% 0.20/0.55 % (30073)------------------------------
% 0.20/0.55 % (30072)Instruction limit reached!
% 0.20/0.55 % (30072)------------------------------
% 0.20/0.55 % (30072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30074)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.55 % (30071)Instruction limit reached!
% 0.20/0.55 % (30071)------------------------------
% 0.20/0.55 % (30071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30071)Termination reason: Unknown
% 0.20/0.55 % (30071)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (30071)Memory used [KB]: 6140
% 0.20/0.55 % (30071)Time elapsed: 0.167 s
% 0.20/0.55 % (30071)Instructions burned: 37 (million)
% 0.20/0.55 % (30071)------------------------------
% 0.20/0.55 % (30071)------------------------------
% 0.20/0.55 % (30085)Instruction limit reached!
% 0.20/0.55 % (30085)------------------------------
% 0.20/0.55 % (30085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30085)Termination reason: Unknown
% 0.20/0.55 % (30085)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (30085)Memory used [KB]: 5756
% 0.20/0.55 % (30085)Time elapsed: 0.163 s
% 0.20/0.55 % (30085)Instructions burned: 15 (million)
% 0.20/0.55 % (30085)------------------------------
% 0.20/0.55 % (30085)------------------------------
% 0.20/0.55 % (30078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30078)Termination reason: Unknown
% 0.20/0.55 % (30078)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (30078)Memory used [KB]: 5500
% 0.20/0.55 % (30078)Time elapsed: 0.005 s
% 0.20/0.55 % (30078)Instructions burned: 5 (million)
% 0.20/0.55 % (30078)------------------------------
% 0.20/0.55 % (30078)------------------------------
% 1.64/0.56 % (30095)Instruction limit reached!
% 1.64/0.56 % (30095)------------------------------
% 1.64/0.56 % (30095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (30072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (30072)Termination reason: Unknown
% 1.64/0.56 % (30072)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (30072)Memory used [KB]: 5756
% 1.64/0.56 % (30072)Time elapsed: 0.158 s
% 1.64/0.56 % (30072)Instructions burned: 16 (million)
% 1.64/0.56 % (30072)------------------------------
% 1.64/0.56 % (30072)------------------------------
% 1.64/0.56 % (30069)Instruction limit reached!
% 1.64/0.56 % (30069)------------------------------
% 1.64/0.56 % (30069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (30069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (30069)Termination reason: Unknown
% 1.64/0.56 % (30069)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (30069)Memory used [KB]: 5628
% 1.64/0.56 % (30069)Time elapsed: 0.165 s
% 1.64/0.56 % (30069)Instructions burned: 9 (million)
% 1.64/0.56 % (30069)------------------------------
% 1.64/0.56 % (30069)------------------------------
% 1.64/0.56 % (30081)Instruction limit reached!
% 1.64/0.56 % (30081)------------------------------
% 1.64/0.56 % (30081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (30080)Instruction limit reached!
% 1.64/0.56 % (30080)------------------------------
% 1.64/0.56 % (30080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (30087)Instruction limit reached!
% 1.64/0.56 % (30087)------------------------------
% 1.64/0.56 % (30087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (30087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (30087)Termination reason: Unknown
% 1.64/0.56 % (30087)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (30087)Memory used [KB]: 1279
% 1.64/0.56 % (30087)Time elapsed: 0.164 s
% 1.64/0.56 % (30087)Instructions burned: 16 (million)
% 1.64/0.56 % (30087)------------------------------
% 1.64/0.56 % (30087)------------------------------
% 1.64/0.56 % (30080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (30080)Termination reason: Unknown
% 1.64/0.56 % (30080)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (30080)Memory used [KB]: 5756
% 1.64/0.56 % (30080)Time elapsed: 0.161 s
% 1.64/0.56 % (30080)Instructions burned: 22 (million)
% 1.64/0.56 % (30080)------------------------------
% 1.64/0.56 % (30080)------------------------------
% 1.64/0.56 % (30095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (30095)Termination reason: Unknown
% 1.64/0.56 % (30095)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (30095)Memory used [KB]: 5884
% 1.64/0.56 % (30095)Time elapsed: 0.172 s
% 1.64/0.56 % (30095)Instructions burned: 21 (million)
% 1.64/0.56 % (30095)------------------------------
% 1.64/0.56 % (30095)------------------------------
% 1.76/0.57 % (30068)Instruction limit reached!
% 1.76/0.57 % (30068)------------------------------
% 1.76/0.57 % (30068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58 % (30081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58 % (30081)Termination reason: Unknown
% 1.76/0.58 % (30081)Termination phase: Saturation
% 1.76/0.58
% 1.76/0.58 % (30081)Memory used [KB]: 6524
% 1.76/0.58 % (30081)Time elapsed: 0.165 s
% 1.76/0.58 % (30081)Instructions burned: 51 (million)
% 1.76/0.58 % (30081)------------------------------
% 1.76/0.58 % (30081)------------------------------
% 1.76/0.59 % (30093)Instruction limit reached!
% 1.76/0.59 % (30093)------------------------------
% 1.76/0.59 % (30093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59 % (30093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59 % (30093)Termination reason: Unknown
% 1.76/0.59 % (30093)Termination phase: Saturation
% 1.76/0.59
% 1.76/0.59 % (30093)Memory used [KB]: 6780
% 1.76/0.59 % (30093)Time elapsed: 0.200 s
% 1.76/0.59 % (30093)Instructions burned: 43 (million)
% 1.76/0.59 % (30093)------------------------------
% 1.76/0.59 % (30093)------------------------------
% 1.76/0.60 % (30068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60 % (30068)Termination reason: Unknown
% 1.76/0.60 % (30068)Termination phase: Saturation
% 1.76/0.60
% 1.76/0.60 % (30068)Memory used [KB]: 5756
% 1.76/0.60 % (30068)Time elapsed: 0.165 s
% 1.76/0.60 % (30068)Instructions burned: 34 (million)
% 1.76/0.60 % (30068)------------------------------
% 1.76/0.60 % (30068)------------------------------
% 1.76/0.60 % (30092)Instruction limit reached!
% 1.76/0.60 % (30092)------------------------------
% 1.76/0.60 % (30092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60 % (30075)Instruction limit reached!
% 1.76/0.60 % (30075)------------------------------
% 1.76/0.60 % (30075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60 % (30075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60 % (30075)Termination reason: Unknown
% 1.76/0.60 % (30075)Termination phase: Saturation
% 1.76/0.60
% 1.76/0.60 % (30075)Memory used [KB]: 5884
% 1.76/0.60 % (30075)Time elapsed: 0.194 s
% 1.76/0.60 % (30075)Instructions burned: 27 (million)
% 1.76/0.60 % (30075)------------------------------
% 1.76/0.60 % (30075)------------------------------
% 1.76/0.61 % (30074)Instruction limit reached!
% 1.76/0.61 % (30074)------------------------------
% 1.76/0.61 % (30074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (30074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (30074)Termination reason: Unknown
% 1.76/0.61 % (30074)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (30074)Memory used [KB]: 6012
% 1.76/0.61 % (30074)Time elapsed: 0.139 s
% 1.76/0.61 % (30074)Instructions burned: 36 (million)
% 1.76/0.61 % (30074)------------------------------
% 1.76/0.61 % (30074)------------------------------
% 1.76/0.61 % (30077)Instruction limit reached!
% 1.76/0.61 % (30077)------------------------------
% 1.76/0.61 % (30077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (30077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (30077)Termination reason: Unknown
% 1.76/0.61 % (30077)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (30077)Memory used [KB]: 5884
% 1.76/0.61 % (30077)Time elapsed: 0.221 s
% 1.76/0.61 % (30077)Instructions burned: 37 (million)
% 1.76/0.61 % (30077)------------------------------
% 1.76/0.61 % (30077)------------------------------
% 1.76/0.61 % (30090)Instruction limit reached!
% 1.76/0.61 % (30090)------------------------------
% 1.76/0.61 % (30090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (30090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (30090)Termination reason: Unknown
% 1.76/0.61 % (30090)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (30090)Memory used [KB]: 6140
% 1.76/0.61 % (30090)Time elapsed: 0.146 s
% 1.76/0.61 % (30090)Instructions burned: 50 (million)
% 1.76/0.61 % (30090)------------------------------
% 1.76/0.61 % (30090)------------------------------
% 1.76/0.62 % (30089)Instruction limit reached!
% 1.76/0.62 % (30089)------------------------------
% 1.76/0.62 % (30089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.62 % (30089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.62 % (30089)Termination reason: Unknown
% 1.76/0.62 % (30089)Termination phase: Saturation
% 1.76/0.62
% 1.76/0.62 % (30089)Memory used [KB]: 1535
% 1.76/0.62 % (30089)Time elapsed: 0.221 s
% 1.76/0.62 % (30089)Instructions burned: 47 (million)
% 1.76/0.62 % (30089)------------------------------
% 1.76/0.62 % (30089)------------------------------
% 1.76/0.62 % (30092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.62 % (30092)Termination reason: Unknown
% 1.76/0.62 % (30092)Termination phase: Saturation
% 1.76/0.62
% 1.76/0.62 % (30092)Memory used [KB]: 6140
% 1.76/0.62 % (30092)Time elapsed: 0.197 s
% 1.76/0.62 % (30092)Instructions burned: 42 (million)
% 1.76/0.62 % (30092)------------------------------
% 1.76/0.62 % (30092)------------------------------
% 2.11/0.64 % (30084)Instruction limit reached!
% 2.11/0.64 % (30084)------------------------------
% 2.11/0.64 % (30084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64 % (30091)Instruction limit reached!
% 2.11/0.64 % (30091)------------------------------
% 2.11/0.64 % (30091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64 % (30091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64 % (30091)Termination reason: Unknown
% 2.11/0.64 % (30091)Termination phase: Saturation
% 2.11/0.64
% 2.11/0.64 % (30091)Memory used [KB]: 2046
% 2.11/0.64 % (30091)Time elapsed: 0.239 s
% 2.11/0.64 % (30091)Instructions burned: 47 (million)
% 2.11/0.64 % (30091)------------------------------
% 2.11/0.64 % (30091)------------------------------
% 2.11/0.64 % (30084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64 % (30096)Instruction limit reached!
% 2.11/0.64 % (30096)------------------------------
% 2.11/0.64 % (30096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64 % (30096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64 % (30096)Termination reason: Unknown
% 2.11/0.64 % (30096)Termination phase: Saturation
% 2.11/0.64
% 2.11/0.64 % (30096)Memory used [KB]: 6268
% 2.11/0.64 % (30096)Time elapsed: 0.233 s
% 2.11/0.64 % (30096)Instructions burned: 41 (million)
% 2.11/0.64 % (30096)------------------------------
% 2.11/0.64 % (30096)------------------------------
% 2.11/0.64 % (30084)Termination reason: Unknown
% 2.11/0.64 % (30084)Termination phase: Saturation
% 2.11/0.64
% 2.11/0.64 % (30084)Memory used [KB]: 6268
% 2.11/0.64 % (30084)Time elapsed: 0.228 s
% 2.11/0.64 % (30084)Instructions burned: 49 (million)
% 2.11/0.64 % (30084)------------------------------
% 2.11/0.64 % (30084)------------------------------
% 2.17/0.65 % (30102)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.17/0.66 % (30101)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.17/0.66 % (30105)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.17/0.67 % (30107)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.17/0.67 % (30106)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.17/0.67 % (30100)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.17/0.68 % (30104)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.17/0.68 % (30103)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.17/0.68 % (30108)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/108Mi)
% 2.17/0.69 % (30110)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.17/0.69 % (30113)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.17/0.69 % (30114)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.17/0.69 % (30109)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.17/0.69 % (30111)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.17/0.70 % (30112)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.17/0.70 % (30100)Instruction limit reached!
% 2.17/0.70 % (30100)------------------------------
% 2.17/0.70 % (30100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.70 % (30100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.70 % (30100)Termination reason: Unknown
% 2.17/0.70 % (30100)Termination phase: Saturation
% 2.17/0.70
% 2.17/0.70 % (30100)Memory used [KB]: 5756
% 2.17/0.70 % (30100)Time elapsed: 0.125 s
% 2.17/0.70 % (30100)Instructions burned: 16 (million)
% 2.17/0.70 % (30100)------------------------------
% 2.17/0.70 % (30100)------------------------------
% 2.17/0.71 % (30115)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.17/0.71 % (30102)Instruction limit reached!
% 2.17/0.71 % (30102)------------------------------
% 2.17/0.71 % (30102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.71 % (30102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.71 % (30102)Termination reason: Unknown
% 2.17/0.71 % (30102)Termination phase: Saturation
% 2.17/0.71
% 2.17/0.71 % (30102)Memory used [KB]: 5756
% 2.17/0.71 % (30102)Time elapsed: 0.142 s
% 2.17/0.71 % (30102)Instructions burned: 26 (million)
% 2.17/0.71 % (30102)------------------------------
% 2.17/0.71 % (30102)------------------------------
% 2.17/0.71 % (30119)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.17/0.72 % (30117)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.32/0.72 % (30116)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.32/0.73 % (30118)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.32/0.73 % (30122)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.32/0.74 % (30120)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.32/0.75 % (30123)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.32/0.75 % (30124)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.32/0.75 % (30121)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.32/0.76 % (30126)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.32/0.76 % (30101)Instruction limit reached!
% 2.32/0.76 % (30101)------------------------------
% 2.32/0.76 % (30101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.76 % (30101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.76 % (30101)Termination reason: Unknown
% 2.32/0.76 % (30101)Termination phase: Saturation
% 2.32/0.76
% 2.32/0.76 % (30101)Memory used [KB]: 6140
% 2.32/0.76 % (30101)Time elapsed: 0.203 s
% 2.32/0.76 % (30101)Instructions burned: 48 (million)
% 2.32/0.76 % (30101)------------------------------
% 2.32/0.76 % (30101)------------------------------
% 2.32/0.77 % (30125)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.40/0.78 % (30127)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.40/0.80 % (30106)Instruction limit reached!
% 2.40/0.80 % (30106)------------------------------
% 2.40/0.80 % (30106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.80 % (30106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.80 % (30106)Termination reason: Unknown
% 2.40/0.80 % (30106)Termination phase: Saturation
% 2.40/0.80
% 2.40/0.80 % (30106)Memory used [KB]: 6524
% 2.40/0.80 % (30106)Time elapsed: 0.229 s
% 2.40/0.80 % (30106)Instructions burned: 58 (million)
% 2.40/0.80 % (30106)------------------------------
% 2.40/0.80 % (30106)------------------------------
% 2.40/0.80 % (30128)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/230Mi)
% 2.40/0.81 % (30105)Instruction limit reached!
% 2.40/0.81 % (30105)------------------------------
% 2.40/0.81 % (30105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.81 % (30105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.81 % (30105)Termination reason: Unknown
% 2.40/0.81 % (30105)Termination phase: Saturation
% 2.40/0.81
% 2.40/0.81 % (30105)Memory used [KB]: 6780
% 2.40/0.81 % (30105)Time elapsed: 0.244 s
% 2.40/0.81 % (30105)Instructions burned: 77 (million)
% 2.40/0.81 % (30105)------------------------------
% 2.40/0.81 % (30105)------------------------------
% 2.40/0.82 % (30107)Instruction limit reached!
% 2.40/0.82 % (30107)------------------------------
% 2.40/0.82 % (30107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.82 % (30107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.82 % (30107)Termination reason: Unknown
% 2.40/0.82 % (30107)Termination phase: Saturation
% 2.40/0.82
% 2.40/0.82 % (30107)Memory used [KB]: 5756
% 2.40/0.82 % (30107)Time elapsed: 0.251 s
% 2.40/0.82 % (30107)Instructions burned: 97 (million)
% 2.40/0.82 % (30107)------------------------------
% 2.40/0.82 % (30107)------------------------------
% 2.40/0.83 % (30108)Instruction limit reached!
% 2.40/0.83 % (30108)------------------------------
% 2.40/0.83 % (30108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.83 % (30108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.83 % (30108)Termination reason: Unknown
% 2.40/0.83 % (30108)Termination phase: Saturation
% 2.40/0.83
% 2.40/0.83 % (30108)Memory used [KB]: 5628
% 2.40/0.83 % (30108)Time elapsed: 0.046 s
% 2.40/0.83 % (30108)Instructions burned: 109 (million)
% 2.40/0.83 % (30108)------------------------------
% 2.40/0.83 % (30108)------------------------------
% 2.40/0.84 % (30129)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/360Mi)
% 2.40/0.84 % (30130)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 2.67/0.85 % (30067)First to succeed.
% 2.67/0.86 % (30104)Instruction limit reached!
% 2.67/0.86 % (30104)------------------------------
% 2.67/0.86 % (30104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.86 % (30104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.86 % (30104)Termination reason: Unknown
% 2.67/0.86 % (30104)Termination phase: Saturation
% 2.67/0.86
% 2.67/0.86 % (30104)Memory used [KB]: 7164
% 2.67/0.86 % (30104)Time elapsed: 0.289 s
% 2.67/0.86 % (30104)Instructions burned: 102 (million)
% 2.67/0.86 % (30104)------------------------------
% 2.67/0.86 % (30104)------------------------------
% 2.70/0.88 % (30067)Refutation found. Thanks to Tanya!
% 2.70/0.88 % SZS status Theorem for theBenchmark
% 2.70/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.88 % (30067)------------------------------
% 2.70/0.88 % (30067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.88 % (30067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.88 % (30067)Termination reason: Refutation
% 2.70/0.88
% 2.70/0.88 % (30067)Memory used [KB]: 1791
% 2.70/0.88 % (30067)Time elapsed: 0.439 s
% 2.70/0.88 % (30067)Instructions burned: 207 (million)
% 2.70/0.88 % (30067)------------------------------
% 2.70/0.88 % (30067)------------------------------
% 2.70/0.88 % (30066)Success in time 0.531 s
%------------------------------------------------------------------------------