TSTP Solution File: ITP334_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 22:41:26 EDT 2024
% Result : Theorem 0.82s 0.92s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 198
% Syntax : Number of formulae : 228 ( 23 unt; 187 typ; 0 def)
% Number of atoms : 69 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 11 |; 6 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 161 ( 49 atm; 41 fun; 56 num; 15 var)
% Number of types : 48 ( 46 usr; 1 ari)
% Number of type conns : 198 ( 112 >; 86 *; 0 +; 0 <<)
% Number of predicates : 51 ( 47 usr; 3 prp; 0-3 aty)
% Number of functors : 102 ( 96 usr; 32 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Num1$': $tType ).
tff(type_def_6,type,
'Unit_set$': $tType ).
tff(type_def_7,type,
'Int_bool_fun$': $tType ).
tff(type_def_8,type,
'Nat_set_int_fun$': $tType ).
tff(type_def_9,type,
'Num1_option_option_set$': $tType ).
tff(type_def_10,type,
'Rows_set_int_fun$': $tType ).
tff(type_def_11,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_12,type,
'Rows_option_option_set$': $tType ).
tff(type_def_13,type,
'Rows$': $tType ).
tff(type_def_14,type,
'Literal$': $tType ).
tff(type_def_15,type,
'Rows_set$': $tType ).
tff(type_def_16,type,
'Int_int_fun$': $tType ).
tff(type_def_17,type,
'Num0$': $tType ).
tff(type_def_18,type,
'Rows_option_set$': $tType ).
tff(type_def_19,type,
'Nat_rows_set_fun$': $tType ).
tff(type_def_20,type,
'Nat_nat_fun$': $tType ).
tff(type_def_21,type,
'Nat$': $tType ).
tff(type_def_22,type,
'Nat_num1_set_fun$': $tType ).
tff(type_def_23,type,
'Literal_set$': $tType ).
tff(type_def_24,type,
'Int_num0_set_fun$': $tType ).
tff(type_def_25,type,
tlbool: $tType ).
tff(type_def_26,type,
'Num1_option_set$': $tType ).
tff(type_def_27,type,
'Int_rows_set_fun$': $tType ).
tff(type_def_28,type,
'Rows_bool_fun$': $tType ).
tff(type_def_29,type,
'Rows_rows_fun$': $tType ).
tff(type_def_30,type,
'Literal_bool_fun$': $tType ).
tff(type_def_31,type,
'Num0_bool_fun$': $tType ).
tff(type_def_32,type,
'Nat_nat_set_fun$': $tType ).
tff(type_def_33,type,
'Nat_literal_set_fun$': $tType ).
tff(type_def_34,type,
'Nat_num0_set_fun$': $tType ).
tff(type_def_35,type,
'Int_literal_set_fun$': $tType ).
tff(type_def_36,type,
'Literal_set_int_fun$': $tType ).
tff(type_def_37,type,
'Num1_set$': $tType ).
tff(type_def_38,type,
'Literal_option_set$': $tType ).
tff(type_def_39,type,
'Nat_option_set$': $tType ).
tff(type_def_40,type,
'Num0_option_set$': $tType ).
tff(type_def_41,type,
'Num0_set_int_fun$': $tType ).
tff(type_def_42,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_43,type,
'Num1_bool_fun$': $tType ).
tff(type_def_44,type,
'Nat_bool_fun$': $tType ).
tff(type_def_45,type,
'Num1_set_int_fun$': $tType ).
tff(type_def_46,type,
'Num0_set$': $tType ).
tff(type_def_47,type,
'Nat_set$': $tType ).
tff(type_def_48,type,
'Int_num1_set_fun$': $tType ).
tff(type_def_49,type,
'Nat_int_fun$': $tType ).
tff(type_def_50,type,
'Int_nat_set_fun$': $tType ).
tff(func_def_0,type,
'top$o': 'Unit_set$' ).
tff(func_def_1,type,
'uua$': 'Rows_set$' > 'Rows_bool_fun$' ).
tff(func_def_2,type,
'minus$': 'Rows$' > 'Rows_rows_fun$' ).
tff(func_def_3,type,
'fun_app$p': ( 'Int_rows_set_fun$' * $int ) > 'Rows_set$' ).
tff(func_def_4,type,
'uue$': 'Num1_set$' > 'Num1_bool_fun$' ).
tff(func_def_5,type,
'top$h': 'Num0_set$' ).
tff(func_def_6,type,
'top$q': 'Literal_option_set$' ).
tff(func_def_7,type,
'fun_app$j': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_8,type,
'card$': 'Rows_set$' > 'Nat$' ).
tff(func_def_9,type,
'card$e': 'Num1_set$' > 'Nat$' ).
tff(func_def_10,type,
'fun_app$l': ( 'Nat_nat_set_fun$' * 'Nat$' ) > 'Nat_set$' ).
tff(func_def_11,type,
'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_12,type,
'fun_app$t': ( 'Int_num1_set_fun$' * $int ) > 'Num1_set$' ).
tff(func_def_13,type,
'one$': 'Rows$' ).
tff(func_def_14,type,
'fun_app$n': ( 'Nat_num0_set_fun$' * 'Nat$' ) > 'Num0_set$' ).
tff(func_def_15,type,
'collect$c': 'Num0_bool_fun$' > 'Num0_set$' ).
tff(func_def_16,type,
'top$c': 'Num1_option_option_set$' ).
tff(func_def_17,type,
'top$': 'Rows_set$' ).
tff(func_def_18,type,
'fun_app$b': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_19,type,
'uu$': $int > 'Int_int_fun$' ).
tff(func_def_20,type,
'fun_app$s': ( 'Int_num0_set_fun$' * $int ) > 'Num0_set$' ).
tff(func_def_21,type,
'card$l': 'Nat_option_set$' > 'Nat$' ).
tff(func_def_22,type,
'fun_app$y': ( 'Num1_set_int_fun$' * 'Num1_set$' ) > $int ).
tff(func_def_23,type,
'top$e': 'Num1_set$' ).
tff(func_def_24,type,
'zero$': 'Rows$' ).
tff(func_def_25,type,
'collect$b': 'Literal_bool_fun$' > 'Literal_set$' ).
tff(func_def_26,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_27,type,
'fun_app$a': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_28,type,
'uuf$': 'Int_int_bool_fun_fun$' ).
tff(func_def_29,type,
'fun_app$v': ( 'Nat_set_int_fun$' * 'Nat_set$' ) > $int ).
tff(func_def_30,type,
'top$r': 'Nat_option_set$' ).
tff(func_def_31,type,
'top$f': 'Nat_set$' ).
tff(func_def_32,type,
'fun_app$z': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_33,type,
'fun_app$k': ( 'Nat_rows_set_fun$' * 'Nat$' ) > 'Rows_set$' ).
tff(func_def_34,type,
'card$h': 'Num0_set$' > 'Nat$' ).
tff(func_def_35,type,
tltrue: tlbool ).
tff(func_def_36,type,
'uub$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_37,type,
'fun_app$w': ( 'Literal_set_int_fun$' * 'Literal_set$' ) > $int ).
tff(func_def_38,type,
'card$g': 'Literal_set$' > 'Nat$' ).
tff(func_def_39,type,
'card$i': 'Unit_set$' > 'Nat$' ).
tff(func_def_40,type,
'card$f': 'Nat_set$' > 'Nat$' ).
tff(func_def_41,type,
'top$k': 'Num0_bool_fun$' ).
tff(func_def_42,type,
'top$g': 'Literal_set$' ).
tff(func_def_43,type,
'card$j': 'Num0_option_set$' > 'Nat$' ).
tff(func_def_44,type,
'top$a': 'Rows_option_option_set$' ).
tff(func_def_45,type,
'fun_app$q': ( 'Int_nat_set_fun$' * $int ) > 'Nat_set$' ).
tff(func_def_46,type,
'fun_app$m': ( 'Nat_literal_set_fun$' * 'Nat$' ) > 'Literal_set$' ).
tff(func_def_47,type,
'card$a': 'Rows_option_option_set$' > 'Nat$' ).
tff(func_def_48,type,
'top$p': 'Num0_option_set$' ).
tff(func_def_49,type,
'card$k': 'Literal_option_set$' > 'Nat$' ).
tff(func_def_50,type,
'uuc$': 'Literal_set$' > 'Literal_bool_fun$' ).
tff(func_def_51,type,
'uud$': 'Num0_set$' > 'Num0_bool_fun$' ).
tff(func_def_52,type,
'fun_app$h': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_53,type,
'top$b': 'Rows_option_set$' ).
tff(func_def_54,type,
'collect$d': 'Num1_bool_fun$' > 'Num1_set$' ).
tff(func_def_55,type,
'fun_app$r': ( 'Int_literal_set_fun$' * $int ) > 'Literal_set$' ).
tff(func_def_56,type,
'top$i': 'Num1_bool_fun$' ).
tff(func_def_57,type,
'fun_app$u': ( 'Rows_set_int_fun$' * 'Rows_set$' ) > $int ).
tff(func_def_58,type,
'top$n': 'Rows_bool_fun$' ).
tff(func_def_59,type,
'collect$': 'Rows_bool_fun$' > 'Rows_set$' ).
tff(func_def_60,type,
'top$l': 'Literal_bool_fun$' ).
tff(func_def_61,type,
tlfalse: tlbool ).
tff(func_def_62,type,
'nat$': $int > 'Nat$' ).
tff(func_def_63,type,
'top$d': 'Num1_option_set$' ).
tff(func_def_64,type,
'abs$': $int > 'Rows$' ).
tff(func_def_65,type,
'fun_app$x': ( 'Num0_set_int_fun$' * 'Num0_set$' ) > $int ).
tff(func_def_66,type,
'card$c': 'Num1_option_option_set$' > 'Nat$' ).
tff(func_def_67,type,
'card$d': 'Num1_option_set$' > 'Nat$' ).
tff(func_def_68,type,
'fun_app$o': ( 'Nat_num1_set_fun$' * 'Nat$' ) > 'Num1_set$' ).
tff(func_def_69,type,
'top$m': 'Nat_bool_fun$' ).
tff(func_def_70,type,
'card$b': 'Rows_option_set$' > 'Nat$' ).
tff(func_def_71,type,
'fun_app$i': ( 'Rows_rows_fun$' * 'Rows$' ) > 'Rows$' ).
tff(func_def_77,type,
sK19: 'Nat$' > 'Rows_set$' ).
tff(func_def_78,type,
sK20: $int > 'Nat$' ).
tff(func_def_79,type,
sK21: $int > 'Nat$' ).
tff(func_def_80,type,
sK22: $int > 'Nat$' ).
tff(func_def_81,type,
sK23: $int > 'Nat$' ).
tff(func_def_82,type,
sK24: 'Nat$' > 'Nat$' ).
tff(func_def_83,type,
sK25: 'Nat$' > 'Nat$' ).
tff(func_def_84,type,
sK26: 'Nat$' > 'Nat$' ).
tff(func_def_85,type,
sK27: 'Nat$' > 'Nat$' ).
tff(func_def_86,type,
sK28: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_87,type,
sK29: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_88,type,
sK30: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_89,type,
sK31: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_90,type,
sK32: 'Nat$' > 'Nat$' ).
tff(func_def_91,type,
sK33: 'Nat$' > 'Nat$' ).
tff(func_def_92,type,
sK34: $int > $int ).
tff(func_def_93,type,
sK35: $int > $int ).
tff(func_def_94,type,
sK36: $int > 'Nat$' ).
tff(func_def_95,type,
sK37: $int > 'Nat$' ).
tff(func_def_96,type,
sF38: 'Nat$' ).
tff(func_def_97,type,
sF39: $int ).
tff(func_def_98,type,
sF40: $int ).
tff(func_def_99,type,
sF41: $int ).
tff(func_def_100,type,
sF42: $int ).
tff(pred_def_1,type,
'less$e': ( 'Num1_bool_fun$' * 'Num1_bool_fun$' ) > $o ).
tff(pred_def_2,type,
'less$c': ( 'Num0_set$' * 'Num0_set$' ) > $o ).
tff(pred_def_3,type,
'less$': ( 'Rows_set$' * 'Rows_set$' ) > $o ).
tff(pred_def_4,type,
'member$d': ( 'Rows$' * 'Rows_set$' ) > $o ).
tff(pred_def_5,type,
'less_eq$d': ( 'Num1_set$' * 'Num1_set$' ) > $o ).
tff(pred_def_6,type,
'fun_app$d': ( 'Num0_bool_fun$' * 'Num0$' ) > $o ).
tff(pred_def_7,type,
'less$b': ( 'Literal_set$' * 'Literal_set$' ) > $o ).
tff(pred_def_8,type,
'less$f': ( 'Num0_bool_fun$' * 'Num0_bool_fun$' ) > $o ).
tff(pred_def_9,type,
'fun_app$c': ( 'Num1_bool_fun$' * 'Num1$' ) > $o ).
tff(pred_def_10,type,
'less_eq$': ( 'Rows_set$' * 'Rows_set$' ) > $o ).
tff(pred_def_11,type,
'less_eq$b': ( 'Literal_set$' * 'Literal_set$' ) > $o ).
tff(pred_def_12,type,
'member$b': ( 'Literal$' * 'Literal_set$' ) > $o ).
tff(pred_def_13,type,
'less$g': ( 'Literal_bool_fun$' * 'Literal_bool_fun$' ) > $o ).
tff(pred_def_14,type,
'fun_app$': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_15,type,
'member$c': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_16,type,
'less$h': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_17,type,
'less_eq$c': ( 'Num0_set$' * 'Num0_set$' ) > $o ).
tff(pred_def_18,type,
'less$d': ( 'Num1_set$' * 'Num1_set$' ) > $o ).
tff(pred_def_19,type,
'member$': ( 'Num1$' * 'Num1_set$' ) > $o ).
tff(pred_def_21,type,
'less$i': ( 'Rows_bool_fun$' * 'Rows_bool_fun$' ) > $o ).
tff(pred_def_22,type,
'less$a': ( 'Nat_set$' * 'Nat_set$' ) > $o ).
tff(pred_def_23,type,
'fun_app$g': ( 'Rows_bool_fun$' * 'Rows$' ) > $o ).
tff(pred_def_24,type,
'less_eq$a': ( 'Nat_set$' * 'Nat_set$' ) > $o ).
tff(pred_def_25,type,
'member$a': ( 'Num0$' * 'Num0_set$' ) > $o ).
tff(pred_def_26,type,
'fun_app$e': ( 'Literal_bool_fun$' * 'Literal$' ) > $o ).
tff(pred_def_27,type,
'fun_app$f': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_30,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_31,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_32,type,
sP2: ( $int * $int * $int ) > $o ).
tff(pred_def_33,type,
sP3: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_34,type,
sP4: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_35,type,
sP5: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_36,type,
sP6: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_37,type,
sP7: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_38,type,
sP8: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_39,type,
sP9: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_40,type,
sP10: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_41,type,
sP11: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_42,type,
sP12: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_43,type,
sP13: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_44,type,
sP14: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_45,type,
sP15: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_46,type,
sP16: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_47,type,
sP17: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_48,type,
sP18: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(f2508,plain,
$false,
inference(avatar_sat_refutation,[],[f2147,f2177,f2507]) ).
tff(f2507,plain,
spl43_2,
inference(avatar_contradiction_clause,[],[f2506]) ).
tff(f2506,plain,
( $false
| spl43_2 ),
inference(subsumption_resolution,[],[f2504,f2140]) ).
tff(f2140,plain,
( ~ $less(sF42,sF39)
| spl43_2 ),
inference(avatar_component_clause,[],[f2138]) ).
tff(f2138,plain,
( spl43_2
<=> $less(sF42,sF39) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_2])]) ).
tff(f2504,plain,
$less(sF42,sF39),
inference(superposition,[],[f2488,f2327]) ).
tff(f2327,plain,
sF42 = $sum(sF39,-1),
inference(superposition,[],[f2015,f2322]) ).
tff(f2322,plain,
sF41 = -1,
inference(evaluation,[],[f2321]) ).
tff(f2321,plain,
$uminus(1) = sF41,
inference(superposition,[],[f2014,f2132]) ).
tff(f2132,plain,
1 = sF40,
inference(evaluation,[],[f2013]) ).
tff(f2013,plain,
$sum(0,1) = sF40,
introduced(function_definition,[new_symbols(definition,[sF40])]) ).
tff(f2014,plain,
$uminus(sF40) = sF41,
introduced(function_definition,[new_symbols(definition,[sF41])]) ).
tff(f2015,plain,
$sum(sF39,sF41) = sF42,
introduced(function_definition,[new_symbols(definition,[sF42])]) ).
tff(f2488,plain,
! [X0: $int] : $less($sum(X0,-1),X0),
inference(resolution,[],[f2125,f1493]) ).
tff(f1493,plain,
! [X0: $int] : ~ $less(X0,X0),
inference(cnf_transformation,[],[f871]) ).
tff(f871,plain,
! [X0: $int] : ~ $less(X0,X0),
inference(flattening,[],[f870]) ).
tff(f870,plain,
! [X0: $int] : ~ $less(X0,X0),
inference(true_and_false_elimination,[],[f570]) ).
tff(f570,axiom,
! [X0: $int] :
( $less(X0,X0)
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom568) ).
tff(f2125,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,-1),X0)
| $less(X0,X1) ),
inference(evaluation,[],[f1661]) ).
tff(f1661,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less($sum(X1,$uminus(1)),X0) ),
inference(cnf_transformation,[],[f1255]) ).
tff(f1255,plain,
! [X0: $int,X1: $int] :
( ( ~ $less($sum(X1,$uminus(1)),X0)
| ~ $less(X0,X1) )
& ( $less(X0,X1)
| $less($sum(X1,$uminus(1)),X0) ) ),
inference(nnf_transformation,[],[f796]) ).
tff(f796,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(X1,$uminus(1)),X0)
<=> $less(X0,X1) ),
inference(theory_normalization,[],[f566]) ).
tff(f566,axiom,
! [X0: $int,X1: $int] :
( $lesseq(X0,$difference(X1,1))
<=> $less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom564) ).
tff(f2177,plain,
~ spl43_3,
inference(avatar_split_clause,[],[f2176,f2144]) ).
tff(f2144,plain,
( spl43_3
<=> $less(sF39,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_3])]) ).
tff(f2176,plain,
~ $less(sF39,1),
inference(forward_demodulation,[],[f2175,f2012]) ).
tff(f2012,plain,
'fun_app$h'('of_nat$',sF38) = sF39,
introduced(function_definition,[new_symbols(definition,[sF39])]) ).
tff(f2175,plain,
~ $less('fun_app$h'('of_nat$',sF38),1),
inference(forward_demodulation,[],[f2131,f2011]) ).
tff(f2011,plain,
'card$'('top$') = sF38,
introduced(function_definition,[new_symbols(definition,[sF38])]) ).
tff(f2131,plain,
~ $less('fun_app$h'('of_nat$','card$'('top$')),1),
inference(evaluation,[],[f1320]) ).
tff(f1320,plain,
~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),
inference(cnf_transformation,[],[f661]) ).
tff(f661,plain,
~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),
inference(theory_normalization,[],[f367]) ).
tff(f367,axiom,
$lesseq($sum(0,1),'fun_app$h'('of_nat$','card$'('top$'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom365) ).
tff(f2147,plain,
( ~ spl43_2
| spl43_3 ),
inference(avatar_split_clause,[],[f2142,f2144,f2138]) ).
tff(f2142,plain,
( $less(sF39,1)
| ~ $less(sF42,sF39) ),
inference(forward_demodulation,[],[f2017,f2132]) ).
tff(f2017,plain,
( ~ $less(sF42,sF39)
| $less(sF39,sF40) ),
inference(definition_folding,[],[f1313,f2013,f2012,f2011,f2012,f2011,f2015,f2014,f2013,f2012,f2011]) ).
tff(f1313,plain,
( ~ $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$')))
| $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) ),
inference(cnf_transformation,[],[f896]) ).
tff(f896,plain,
( ( ~ $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$')))
& ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) )
| ( ~ $less(0,'fun_app$h'('of_nat$','card$'('top$')))
& $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) ) ),
inference(ennf_transformation,[],[f625]) ).
tff(f625,plain,
~ ( ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$'))) )
& ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f9,negated_conjecture,
~ ( ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$'))) )
& ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ) ),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
( ( ~ $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$'))) )
& ( $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))
=> $less(0,'fun_app$h'('of_nat$','card$'('top$'))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 16:21:23 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a TF0_THM_EQU_ARI problem
% 0.15/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.83 % (18266)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)
% 0.60/0.83 % (18264)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)
% 0.60/0.83 % (18262)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)
% 0.60/0.83 % (18263)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)
% 0.60/0.83 % (18261)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.83 % (18265)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)
% 0.60/0.83 % (18259)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)
% 0.60/0.83 % (18260)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)
% 0.60/0.85 % (18266)Instruction limit reached!
% 0.60/0.85 % (18266)------------------------------
% 0.60/0.85 % (18266)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85 % (18266)Termination reason: Unknown
% 0.60/0.85 % (18266)Termination phase: Property scanning
% 0.60/0.85
% 0.60/0.85 % (18266)Memory used [KB]: 2004
% 0.60/0.85 % (18266)Time elapsed: 0.015 s
% 0.60/0.85 % (18266)Instructions burned: 59 (million)
% 0.60/0.85 % (18266)------------------------------
% 0.60/0.85 % (18266)------------------------------
% 0.68/0.85 % (18259)Instruction limit reached!
% 0.68/0.85 % (18259)------------------------------
% 0.68/0.85 % (18259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85 % (18259)Termination reason: Unknown
% 0.68/0.85 % (18259)Termination phase: Preprocessing 1
% 0.68/0.85
% 0.68/0.85 % (18259)Memory used [KB]: 1639
% 0.68/0.85 % (18259)Time elapsed: 0.015 s
% 0.68/0.85 % (18259)Instructions burned: 34 (million)
% 0.68/0.85 % (18259)------------------------------
% 0.68/0.85 % (18259)------------------------------
% 0.68/0.85 % (18267)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.68/0.85 % (18268)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.68/0.85 % (18262)Instruction limit reached!
% 0.68/0.85 % (18262)------------------------------
% 0.68/0.85 % (18262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85 % (18262)Termination reason: Unknown
% 0.68/0.85 % (18262)Termination phase: SInE selection
% 0.68/0.85
% 0.68/0.85 % (18262)Memory used [KB]: 1626
% 0.68/0.85 % (18264)Instruction limit reached!
% 0.68/0.85 % (18264)------------------------------
% 0.68/0.85 % (18264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85 % (18264)Termination reason: Unknown
% 0.68/0.85 % (18264)Termination phase: Property scanning
% 0.68/0.85
% 0.68/0.85 % (18264)Memory used [KB]: 1997
% 0.68/0.85 % (18264)Time elapsed: 0.021 s
% 0.68/0.85 % (18264)Instructions burned: 47 (million)
% 0.68/0.85 % (18264)------------------------------
% 0.68/0.85 % (18264)------------------------------
% 0.68/0.85 % (18262)Time elapsed: 0.021 s
% 0.68/0.85 % (18262)Instructions burned: 33 (million)
% 0.68/0.85 % (18262)------------------------------
% 0.68/0.85 % (18262)------------------------------
% 0.68/0.85 % (18263)Instruction limit reached!
% 0.68/0.85 % (18263)------------------------------
% 0.68/0.85 % (18263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85 % (18263)Termination reason: Unknown
% 0.68/0.85 % (18263)Termination phase: Preprocessing 1
% 0.68/0.85
% 0.68/0.85 % (18263)Memory used [KB]: 1623
% 0.68/0.85 % (18263)Time elapsed: 0.022 s
% 0.68/0.85 % (18263)Instructions burned: 34 (million)
% 0.68/0.85 % (18263)------------------------------
% 0.68/0.85 % (18263)------------------------------
% 0.68/0.86 % (18270)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.68/0.86 % (18271)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.68/0.86 % (18269)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.68/0.86 % (18267)Instruction limit reached!
% 0.68/0.86 % (18267)------------------------------
% 0.68/0.86 % (18267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86 % (18267)Termination reason: Unknown
% 0.68/0.86 % (18267)Termination phase: Property scanning
% 0.68/0.86
% 0.68/0.86 % (18267)Memory used [KB]: 2380
% 0.68/0.86 % (18267)Time elapsed: 0.015 s
% 0.68/0.86 % (18267)Instructions burned: 58 (million)
% 0.68/0.86 % (18267)------------------------------
% 0.68/0.86 % (18267)------------------------------
% 0.68/0.87 % (18272)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.68/0.87 % (18260)Instruction limit reached!
% 0.68/0.87 % (18260)------------------------------
% 0.68/0.87 % (18260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.87 % (18260)Termination reason: Unknown
% 0.68/0.87 % (18260)Termination phase: Preprocessing 3
% 0.68/0.87
% 0.68/0.87 % (18260)Memory used [KB]: 2159
% 0.68/0.87 % (18260)Time elapsed: 0.033 s
% 0.68/0.87 % (18260)Instructions burned: 52 (million)
% 0.68/0.87 % (18260)------------------------------
% 0.68/0.87 % (18260)------------------------------
% 0.68/0.87 % (18273)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.68/0.87 % (18272)Instruction limit reached!
% 0.68/0.87 % (18272)------------------------------
% 0.68/0.87 % (18272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.87 % (18272)Termination reason: Unknown
% 0.68/0.87 % (18272)Termination phase: Preprocessing 3
% 0.68/0.87
% 0.68/0.87 % (18272)Memory used [KB]: 2054
% 0.68/0.87 % (18272)Time elapsed: 0.011 s
% 0.68/0.87 % (18272)Instructions burned: 42 (million)
% 0.68/0.87 % (18272)------------------------------
% 0.68/0.87 % (18272)------------------------------
% 0.82/0.88 % (18274)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.82/0.88 % (18261)Instruction limit reached!
% 0.82/0.88 % (18261)------------------------------
% 0.82/0.88 % (18261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.88 % (18261)Termination reason: Unknown
% 0.82/0.88 % (18261)Termination phase: Saturation
% 0.82/0.88
% 0.82/0.88 % (18261)Memory used [KB]: 2119
% 0.82/0.88 % (18261)Time elapsed: 0.049 s
% 0.82/0.88 % (18261)Instructions burned: 78 (million)
% 0.82/0.88 % (18261)------------------------------
% 0.82/0.88 % (18261)------------------------------
% 0.82/0.88 % (18265)Instruction limit reached!
% 0.82/0.88 % (18265)------------------------------
% 0.82/0.88 % (18265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.88 % (18265)Termination reason: Unknown
% 0.82/0.88 % (18265)Termination phase: Saturation
% 0.82/0.88
% 0.82/0.88 % (18265)Memory used [KB]: 2352
% 0.82/0.88 % (18265)Time elapsed: 0.052 s
% 0.82/0.88 % (18265)Instructions burned: 84 (million)
% 0.82/0.88 % (18265)------------------------------
% 0.82/0.88 % (18265)------------------------------
% 0.82/0.88 % (18268)Instruction limit reached!
% 0.82/0.88 % (18268)------------------------------
% 0.82/0.88 % (18268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.88 % (18268)Termination reason: Unknown
% 0.82/0.88 % (18268)Termination phase: Preprocessing 3
% 0.82/0.88
% 0.82/0.88 % (18268)Memory used [KB]: 2133
% 0.82/0.88 % (18268)Time elapsed: 0.034 s
% 0.82/0.88 % (18268)Instructions burned: 50 (million)
% 0.82/0.88 % (18268)------------------------------
% 0.82/0.88 % (18268)------------------------------
% 0.82/0.89 % (18270)Instruction limit reached!
% 0.82/0.89 % (18270)------------------------------
% 0.82/0.89 % (18270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.89 % (18270)Termination reason: Unknown
% 0.82/0.89 % (18270)Termination phase: Property scanning
% 0.82/0.89
% 0.82/0.89 % (18270)Memory used [KB]: 2001
% 0.82/0.89 % (18270)Time elapsed: 0.033 s
% 0.82/0.89 % (18270)Instructions burned: 52 (million)
% 0.82/0.89 % (18270)------------------------------
% 0.82/0.89 % (18270)------------------------------
% 0.82/0.89 % (18276)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.82/0.89 % (18277)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.82/0.89 % (18275)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.82/0.89 % (18278)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.82/0.91 % (18274)Instruction limit reached!
% 0.82/0.91 % (18274)------------------------------
% 0.82/0.91 % (18274)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.91 % (18274)Termination reason: Unknown
% 0.82/0.91 % (18274)Termination phase: Saturation
% 0.82/0.91
% 0.82/0.91 % (18274)Memory used [KB]: 2678
% 0.82/0.91 % (18274)Time elapsed: 0.030 s
% 0.82/0.91 % (18274)Instructions burned: 120 (million)
% 0.82/0.91 % (18274)------------------------------
% 0.82/0.91 % (18274)------------------------------
% 0.82/0.91 % (18279)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.82/0.91 % (18278)Instruction limit reached!
% 0.82/0.91 % (18278)------------------------------
% 0.82/0.91 % (18278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.91 % (18278)Termination reason: Unknown
% 0.82/0.91 % (18278)Termination phase: SInE selection
% 0.82/0.91
% 0.82/0.91 % (18278)Memory used [KB]: 1643
% 0.82/0.91 % (18278)Time elapsed: 0.022 s
% 0.82/0.91 % (18278)Instructions burned: 33 (million)
% 0.82/0.91 % (18278)------------------------------
% 0.82/0.91 % (18278)------------------------------
% 0.82/0.91 % (18269)First to succeed.
% 0.82/0.92 % (18269)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18258"
% 0.82/0.92 % (18269)Refutation found. Thanks to Tanya!
% 0.82/0.92 % SZS status Theorem for theBenchmark
% 0.82/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.92 % (18269)------------------------------
% 0.82/0.92 % (18269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.92 % (18269)Termination reason: Refutation
% 0.82/0.92
% 0.82/0.92 % (18269)Memory used [KB]: 2148
% 0.82/0.92 % (18269)Time elapsed: 0.081 s
% 0.82/0.92 % (18269)Instructions burned: 123 (million)
% 0.82/0.92 % (18258)Success in time 0.541 s
% 0.82/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------