TSTP Solution File: ITP338_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001_1 : TPTP v8.1.2. 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 : n027.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 : Sun May 5 06:55:56 EDT 2024
% Result : Theorem 0.67s 0.89s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 357
% Syntax : Number of formulae : 418 ( 28 unt; 337 typ; 0 def)
% Number of atoms : 261 ( 152 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 288 ( 108 ~; 89 |; 53 &)
% ( 7 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number arithmetic : 85 ( 23 atm; 26 fun; 26 num; 10 var)
% Number of types : 72 ( 70 usr; 1 ari)
% Number of type conns : 348 ( 223 >; 125 *; 0 +; 0 <<)
% Number of predicates : 33 ( 29 usr; 7 prp; 0-2 aty)
% Number of functors : 246 ( 244 usr; 45 con; 0-4 aty)
% Number of variables : 75 ( 71 !; 4 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_nat_a_b_vec_c_vec_prod_prod$': $tType ).
tff(type_def_6,type,
'A_a_iarray_iarray_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'A_c_vec_c_vec$': $tType ).
tff(type_def_8,type,
'A_nat_a_iarray_iarray_prod_prod$': $tType ).
tff(type_def_9,type,
'A_a_prod$': $tType ).
tff(type_def_10,type,
'A_iarray_iarray$': $tType ).
tff(type_def_11,type,
'A_nat_a_b_vec_c_vec_prod_bool_fun_fun$': $tType ).
tff(type_def_12,type,
'A_a_c_vec_b_vec_prod$': $tType ).
tff(type_def_13,type,
'Int_int_prod$': $tType ).
tff(type_def_14,type,
'C_a_b_vec_bool_fun_fun$': $tType ).
tff(type_def_15,type,
'A_c_vec_c_vec_a_b_vec_c_vec_prod$': $tType ).
tff(type_def_16,type,
'A_a_b_vec_b_vec_prod$': $tType ).
tff(type_def_17,type,
'Nat_a_iarray_bool_fun_fun$': $tType ).
tff(type_def_18,type,
'A_a_iarray_iarray_prod$': $tType ).
tff(type_def_19,type,
'Nat_a_c_vec_c_vec_prod$': $tType ).
tff(type_def_20,type,
'A_a_b_vec_c_vec_bool_fun_fun$': $tType ).
tff(type_def_21,type,
'Int_set$': $tType ).
tff(type_def_22,type,
'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$': $tType ).
tff(type_def_23,type,
'Int_int_fun$': $tType ).
tff(type_def_24,type,
'A_b_vec_b_vec$': $tType ).
tff(type_def_25,type,
'B$': $tType ).
tff(type_def_26,type,
'A_b_vec_c_vec$': $tType ).
tff(type_def_27,type,
'Nat_a_iarray_iarray_bool_fun_fun$': $tType ).
tff(type_def_28,type,
'C_a_b_vec_fun$': $tType ).
tff(type_def_29,type,
'A_c_vec_b_vec$': $tType ).
tff(type_def_30,type,
'Nat_nat_fun$': $tType ).
tff(type_def_31,type,
'C$': $tType ).
tff(type_def_32,type,
'Nat$': $tType ).
tff(type_def_33,type,
'A_b_vec$': $tType ).
tff(type_def_34,type,
'A_nat_a_iarray_iarray_prod_bool_fun_fun$': $tType ).
tff(type_def_35,type,
'A_iarray_iarray_bool_fun$': $tType ).
tff(type_def_36,type,
'B_a_fun$': $tType ).
tff(type_def_37,type,
'Nat_a_b_vec_c_vec_prod_bool_fun$': $tType ).
tff(type_def_38,type,
'A_nat_a_b_vec_b_vec_prod_prod$': $tType ).
tff(type_def_39,type,
'A_nat_a_c_vec_b_vec_prod_prod$': $tType ).
tff(type_def_40,type,
tlbool: $tType ).
tff(type_def_41,type,
'A_b_vec_c_vec_bool_fun$': $tType ).
tff(type_def_42,type,
'A_nat_a_c_vec_c_vec_prod_prod$': $tType ).
tff(type_def_43,type,
'A_b_vec_b_vec_a_c_vec_b_vec_prod$': $tType ).
tff(type_def_44,type,
'A_a_b_vec_c_vec_prod$': $tType ).
tff(type_def_45,type,
'A_bool_fun$': $tType ).
tff(type_def_46,type,
'Nat_a_iarray_iarray_prod$': $tType ).
tff(type_def_47,type,
'A_c_vec_c_vec_a_c_vec_c_vec_prod$': $tType ).
tff(type_def_48,type,
'A_int_prod$': $tType ).
tff(type_def_49,type,
'A_set$': $tType ).
tff(type_def_50,type,
'A_iarray_bool_fun$': $tType ).
tff(type_def_51,type,
'A_nat_a_iarray_iarray_prod_prod_bool_fun$': $tType ).
tff(type_def_52,type,
'A_c_vec$': $tType ).
tff(type_def_53,type,
'Nat_a_b_vec_c_vec_bool_fun_fun$': $tType ).
tff(type_def_54,type,
'A$': $tType ).
tff(type_def_55,type,
'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$': $tType ).
tff(type_def_56,type,
'Nat_a_c_vec_b_vec_prod$': $tType ).
tff(type_def_57,type,
'Int_a_prod$': $tType ).
tff(type_def_58,type,
'Nat_a_b_vec_c_vec_prod$': $tType ).
tff(type_def_59,type,
'Nat_a_iarray_iarray_prod_bool_fun$': $tType ).
tff(type_def_60,type,
'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$': $tType ).
tff(type_def_61,type,
'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$': $tType ).
tff(type_def_62,type,
'A_a_c_vec_c_vec_prod$': $tType ).
tff(type_def_63,type,
'A_a_fun$': $tType ).
tff(type_def_64,type,
'Nat_a_b_vec_b_vec_prod$': $tType ).
tff(type_def_65,type,
'Nat_a_iarray_prod_bool_fun$': $tType ).
tff(type_def_66,type,
'A_b_vec_c_vec_c_vec$': $tType ).
tff(type_def_67,type,
'A_iarray$': $tType ).
tff(type_def_68,type,
'A_b_vec_bool_fun$': $tType ).
tff(type_def_69,type,
'Nat_a_iarray_prod$': $tType ).
tff(type_def_70,type,
'Nat_bool_fun$': $tType ).
tff(type_def_71,type,
'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$': $tType ).
tff(type_def_72,type,
'A_b_vec_b_vec_a_b_vec_b_vec_prod$': $tType ).
tff(type_def_73,type,
'Nat_set$': $tType ).
tff(type_def_74,type,
'B_a_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'gauss_Jordan_in_ij_det_P_iarrays$': ( 'A_iarray_iarray$' * 'Nat$' * 'Nat$' ) > 'A_a_iarray_iarray_prod$' ).
tff(func_def_1,type,
'times$a': ( $int * $int ) > $int ).
tff(func_def_2,type,
'snd$t': 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' > 'Nat_a_c_vec_b_vec_prod$' ).
tff(func_def_3,type,
'zero$i': 'Int_a_prod$' ).
tff(func_def_4,type,
'fun_app$r': ( 'Nat_a_iarray_bool_fun_fun$' * 'Nat$' ) > 'A_iarray_bool_fun$' ).
tff(func_def_5,type,
'times$b': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_6,type,
'pair$x': ( 'A_c_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).
tff(func_def_7,type,
'snd$': 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_8,type,
'plus$b': ( 'C$' * 'C$' ) > 'C$' ).
tff(func_def_9,type,
'from_nat$a': 'Nat$' > 'B$' ).
tff(func_def_10,type,
'fst$k': 'A_nat_a_c_vec_b_vec_prod_prod$' > 'A$' ).
tff(func_def_11,type,
'uu$': 'A_a_fun$' ).
tff(func_def_12,type,
'plus$c': ( 'B$' * 'B$' ) > 'B$' ).
tff(func_def_13,type,
'nrows$c': 'A_b_vec_b_vec$' > 'Nat$' ).
tff(func_def_14,type,
'uua$': 'Int_int_fun$' ).
tff(func_def_15,type,
'pair$r': ( 'A_c_vec_c_vec$' * 'Nat_a_c_vec_c_vec_prod$' ) > 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' ).
tff(func_def_16,type,
'pair$b': ( 'Nat$' * 'A_iarray$' ) > 'Nat_a_iarray_prod$' ).
tff(func_def_17,type,
'uud$': 'A_a_fun$' ).
tff(func_def_18,type,
'fst$e': 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).
tff(func_def_19,type,
'gauss_Jordan_column_k_det_P_iarrays$': ( 'A_nat_a_iarray_iarray_prod_prod$' * 'Nat$' ) > 'A_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_20,type,
'snd$c': 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_21,type,
'fun_app$t': ( 'Nat_a_iarray_iarray_bool_fun_fun$' * 'Nat$' ) > 'A_iarray_iarray_bool_fun$' ).
tff(func_def_22,type,
'uuf$': 'Int_int_fun$' ).
tff(func_def_23,type,
'fun_app$l': ( 'B_a_bool_fun_fun$' * 'B$' ) > 'A_bool_fun$' ).
tff(func_def_24,type,
'pair$u': ( 'A_b_vec_b_vec$' * 'A_c_vec_b_vec$' ) > 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' ).
tff(func_def_25,type,
'pair$p': ( $int * 'A$' ) > 'Int_a_prod$' ).
tff(func_def_26,type,
'pair$a': ( 'Nat$' * 'A_b_vec_c_vec$' ) > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_27,type,
'fun_app$d': ( 'C_a_b_vec_fun$' * 'C$' ) > 'A_b_vec$' ).
tff(func_def_28,type,
'fst$u': 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' > 'A_b_vec_b_vec$' ).
tff(func_def_29,type,
'gauss_Jordan_in_ij_det_P$b': ( 'A_c_vec_b_vec$' * 'B$' * 'C$' ) > 'A_a_c_vec_b_vec_prod$' ).
tff(func_def_30,type,
'zero$': 'Nat$' ).
tff(func_def_31,type,
'gauss_Jordan_column_k_det_P$': ( 'A_nat_a_c_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_c_vec_c_vec_prod_prod$' ).
tff(func_def_32,type,
'snd$e': 'A_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_33,type,
'zero$j': 'Int_int_prod$' ).
tff(func_def_34,type,
'times$': 'A$' > 'A_a_fun$' ).
tff(func_def_35,type,
'fun_app$v': ( 'A_nat_a_b_vec_c_vec_prod_bool_fun_fun$' * 'A$' ) > 'Nat_a_b_vec_c_vec_prod_bool_fun$' ).
tff(func_def_36,type,
'fst$t': 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).
tff(func_def_37,type,
'plus$q': ( 'A_set$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_38,type,
'zero$a': 'A$' ).
tff(func_def_39,type,
'row_add_iterate_PA$': ( 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' * 'Nat$' * 'C$' * 'B$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).
tff(func_def_40,type,
'plus$o': ( 'A_b_vec$' * 'A_b_vec$' ) > 'A_b_vec$' ).
tff(func_def_41,type,
'nrows$': 'A_b_vec_c_vec$' > 'Nat$' ).
tff(func_def_42,type,
'plus$h': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_43,type,
'plus$l': ( 'Nat_a_iarray_prod$' * 'Nat_a_iarray_prod$' ) > 'Nat_a_iarray_prod$' ).
tff(func_def_44,type,
'fst$g': 'Nat_a_c_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_45,type,
'zero$g': 'A_a_prod$' ).
tff(func_def_46,type,
'plus$p': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_47,type,
'snd$d': 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_48,type,
'plus$n': ( 'Int_int_prod$' * 'Int_int_prod$' ) > 'Int_int_prod$' ).
tff(func_def_49,type,
'vec_nth$f': ( 'A_b_vec_c_vec_c_vec$' * 'C$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_50,type,
'zero$d': 'A_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_51,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_52,type,
'zero$f': 'C$' ).
tff(func_def_53,type,
'gauss_Jordan_in_ij_PA$a': ( 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' * 'B$' * 'C$' ) > 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' ).
tff(func_def_54,type,
'times$f': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_55,type,
'upper_triangular_upt_k$a': 'A_b_vec_c_vec_c_vec$' > 'Nat_bool_fun$' ).
tff(func_def_56,type,
'fun_app$n': ( 'C_a_b_vec_bool_fun_fun$' * 'C$' ) > 'A_b_vec_bool_fun$' ).
tff(func_def_57,type,
'pair$h': ( 'Nat$' * 'A_c_vec_c_vec$' ) > 'Nat_a_c_vec_c_vec_prod$' ).
tff(func_def_58,type,
'times$d': ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_59,type,
'uuc$': 'Nat_nat_fun$' ).
tff(func_def_60,type,
'snd$x': 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_61,type,
'zero$b': 'A_a_b_vec_c_vec_prod$' ).
tff(func_def_62,type,
'zero$e': 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_63,type,
'snd$j': 'A_nat_a_c_vec_b_vec_prod_prod$' > 'Nat_a_c_vec_b_vec_prod$' ).
tff(func_def_64,type,
'snd$n': 'Nat_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).
tff(func_def_65,type,
'i$': 'Nat$' ).
tff(func_def_66,type,
'one$c': 'B$' ).
tff(func_def_67,type,
'fst$f': 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).
tff(func_def_68,type,
'plus$i': ( 'A_nat_a_b_vec_c_vec_prod_prod$' * 'A_nat_a_b_vec_c_vec_prod_prod$' ) > 'A_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_69,type,
'nrows$b': 'A_c_vec_b_vec$' > 'Nat$' ).
tff(func_def_70,type,
'one$': 'A$' ).
tff(func_def_71,type,
'snd$k': 'Nat_a_c_vec_b_vec_prod$' > 'A_c_vec_b_vec$' ).
tff(func_def_72,type,
'nrows$a': 'A_c_vec_c_vec$' > 'Nat$' ).
tff(func_def_73,type,
'gauss_Jordan_column_k_det_P$a': ( 'A_nat_a_c_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_c_vec_b_vec_prod_prod$' ).
tff(func_def_74,type,
'fst$p': 'Int_int_prod$' > $int ).
tff(func_def_75,type,
'vec_nth$c': ( 'A_c_vec_c_vec$' * 'C$' ) > 'A_c_vec$' ).
tff(func_def_76,type,
'snd$s': 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_77,type,
'upper_triangular_upt_k$': 'A_b_vec_b_vec$' > 'Nat_bool_fun$' ).
tff(func_def_78,type,
'pair$o': ( 'A$' * $int ) > 'A_int_prod$' ).
tff(func_def_79,type,
'snd$a': 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_80,type,
'snd$i': 'A_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_81,type,
'fst$v': 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).
tff(func_def_82,type,
'nrows_iarray$': 'A_iarray_iarray$' > 'Nat$' ).
tff(func_def_83,type,
tltrue: tlbool ).
tff(func_def_84,type,
'gauss_Jordan_column_k_PA$a': ( 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' ).
tff(func_def_85,type,
'plus$f': ( 'Nat_a_iarray_iarray_prod$' * 'Nat_a_iarray_iarray_prod$' ) > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_86,type,
'map_matrix$': ( 'A_a_fun$' * 'A_b_vec_c_vec$' ) > 'A_b_vec_c_vec$' ).
tff(func_def_87,type,
'pair$s': ( 'A_c_vec_c_vec$' * 'A_c_vec_c_vec$' ) > 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' ).
tff(func_def_88,type,
'one$b': 'C$' ).
tff(func_def_89,type,
'pair$j': ( 'Nat$' * 'A_c_vec_b_vec$' ) > 'Nat_a_c_vec_b_vec_prod$' ).
tff(func_def_90,type,
'one$a': 'Nat$' ).
tff(func_def_91,type,
'to_nat$a': 'B$' > 'Nat$' ).
tff(func_def_92,type,
'plus$j': ( 'Nat_a_b_vec_c_vec_prod$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_93,type,
'gauss_Jordan_column_k_PA$b': ( 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' ).
tff(func_def_94,type,
'gauss_Jordan_in_ij_PA$': ( 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' * 'C$' * 'C$' ) > 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' ).
tff(func_def_95,type,
'snd$g': 'A_nat_a_c_vec_c_vec_prod_prod$' > 'Nat_a_c_vec_c_vec_prod$' ).
tff(func_def_96,type,
'fst$b': 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_97,type,
'ncols$': 'A_b_vec_c_vec$' > 'Nat$' ).
tff(func_def_98,type,
'fst$c': 'Nat_a_iarray_prod$' > 'Nat$' ).
tff(func_def_99,type,
'fun_app$': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_100,type,
'fst$j': 'Nat_a_c_vec_b_vec_prod$' > 'Nat$' ).
tff(func_def_101,type,
'gauss_Jordan_in_ij_det_P$': ( 'A_b_vec_c_vec$' * 'C$' * 'B$' ) > 'A_a_b_vec_c_vec_prod$' ).
tff(func_def_102,type,
'pair$n': ( 'A$' * 'A$' ) > 'A_a_prod$' ).
tff(func_def_103,type,
'less$': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_104,type,
'gauss_Jordan_column_k_PA$': ( 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_105,type,
'fst$m': 'Nat_a_b_vec_b_vec_prod$' > 'Nat$' ).
tff(func_def_106,type,
'fun_app$c': ( 'B_a_fun$' * 'B$' ) > 'A$' ).
tff(func_def_107,type,
'gauss_Jordan_column_k_det_P$c': ( 'A_nat_a_b_vec_c_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_108,type,
'gauss_Jordan_column_k_PA$c': ( 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' ).
tff(func_def_109,type,
'to_nat$': 'C$' > 'Nat$' ).
tff(func_def_110,type,
'vector_all_zero_from_index$': 'Nat_a_iarray_prod_bool_fun$' ).
tff(func_def_111,type,
'vec_nth$b': ( 'A_c_vec$' * 'C$' ) > 'A$' ).
tff(func_def_112,type,
'snd$o': 'A_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).
tff(func_def_113,type,
'snd$q': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_114,type,
'snd$v': 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' > 'Nat_a_b_vec_b_vec_prod$' ).
tff(func_def_115,type,
'fst$h': 'A_nat_a_c_vec_c_vec_prod_prod$' > 'A$' ).
tff(func_def_116,type,
'fun_app$x': ( 'A_a_iarray_iarray_bool_fun_fun$' * 'A$' ) > 'A_iarray_iarray_bool_fun$' ).
tff(func_def_117,type,
'one$e': 'A_b_vec_c_vec$' ).
tff(func_def_118,type,
'fst$l': 'A_a_c_vec_b_vec_prod$' > 'A$' ).
tff(func_def_119,type,
'times$g': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_120,type,
'snd$r': 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' > 'Nat_a_c_vec_c_vec_prod$' ).
tff(func_def_121,type,
'gauss_Jordan_in_ij_det_P$a': ( 'A_c_vec_c_vec$' * 'C$' * 'C$' ) > 'A_a_c_vec_c_vec_prod$' ).
tff(func_def_122,type,
'zero$h': 'A_int_prod$' ).
tff(func_def_123,type,
'fun_app$u': ( 'A_a_b_vec_c_vec_bool_fun_fun$' * 'A$' ) > 'A_b_vec_c_vec_bool_fun$' ).
tff(func_def_124,type,
'pair$t': ( 'A_b_vec_b_vec$' * 'Nat_a_c_vec_b_vec_prod$' ) > 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' ).
tff(func_def_125,type,
'column_iarray$': ( 'Nat$' * 'A_iarray_iarray$' ) > 'A_iarray$' ).
tff(func_def_126,type,
'gauss_Jordan_in_ij_PA$b': ( 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' * 'B$' * 'B$' ) > 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' ).
tff(func_def_127,type,
'fst$q': 'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_128,type,
'zero$c': 'A_b_vec_c_vec$' ).
tff(func_def_129,type,
'fst$w': 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_130,type,
'fst$': 'A_a_b_vec_c_vec_prod$' > 'A$' ).
tff(func_def_131,type,
'plus$a': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_132,type,
'fst$r': 'A_c_vec_c_vec_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_133,type,
'one$d': 'A_b_vec$' ).
tff(func_def_134,type,
'vec_nth$a': 'A_b_vec_c_vec$' > 'C_a_b_vec_fun$' ).
tff(func_def_135,type,
'snd$u': 'A_b_vec_b_vec_a_c_vec_b_vec_prod$' > 'A_c_vec_b_vec$' ).
tff(func_def_136,type,
'fun_app$p': ( 'Nat_a_b_vec_c_vec_bool_fun_fun$' * 'Nat$' ) > 'A_b_vec_c_vec_bool_fun$' ).
tff(func_def_137,type,
'snd$p': 'Int_int_prod$' > $int ).
tff(func_def_138,type,
'pair$k': ( 'A$' * 'Nat_a_b_vec_b_vec_prod$' ) > 'A_nat_a_b_vec_b_vec_prod_prod$' ).
tff(func_def_139,type,
'pair$': ( 'A$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_140,type,
'plus$m': ( 'A_iarray$' * 'A_iarray$' ) > 'A_iarray$' ).
tff(func_def_141,type,
'fst$s': 'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$' > 'A_b_vec_b_vec$' ).
tff(func_def_142,type,
'plus$': 'A$' > 'A_a_fun$' ).
tff(func_def_143,type,
'snd$w': 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' > 'A_b_vec_b_vec$' ).
tff(func_def_144,type,
'plus$d': ( 'A_a_b_vec_c_vec_prod$' * 'A_a_b_vec_c_vec_prod$' ) > 'A_a_b_vec_c_vec_prod$' ).
tff(func_def_145,type,
'pair$d': ( 'Nat$' * 'A_iarray_iarray$' ) > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_146,type,
'less_eq$a': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_147,type,
tlfalse: tlbool ).
tff(func_def_148,type,
'pair$i': ( 'A$' * 'Nat_a_c_vec_b_vec_prod$' ) > 'A_nat_a_c_vec_b_vec_prod_prod$' ).
tff(func_def_149,type,
'nat$': $int > 'Nat$' ).
tff(func_def_150,type,
'fst$a': 'A_a_iarray_iarray_prod$' > 'A$' ).
tff(func_def_151,type,
'plus$g': ( 'A_iarray_iarray$' * 'A_iarray_iarray$' ) > 'A_iarray_iarray$' ).
tff(func_def_152,type,
'pair$q': ( 'A_c_vec_c_vec$' * 'Nat_a_b_vec_c_vec_prod$' ) > 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$' ).
tff(func_def_153,type,
'snd$f': 'Nat_a_iarray_prod$' > 'A_iarray$' ).
tff(func_def_154,type,
'zero$k': 'B$' ).
tff(func_def_155,type,
'pair$f': ( 'A$' * 'A_iarray_iarray$' ) > 'A_a_iarray_iarray_prod$' ).
tff(func_def_156,type,
'uug$': 'Nat_nat_fun$' ).
tff(func_def_157,type,
'matrix_to_iarray$': 'A_b_vec_c_vec$' > 'A_iarray_iarray$' ).
tff(func_def_158,type,
'plus$e': ( 'A_a_iarray_iarray_prod$' * 'A_a_iarray_iarray_prod$' ) > 'A_a_iarray_iarray_prod$' ).
tff(func_def_159,type,
'vec_nth$': 'A_b_vec$' > 'B_a_fun$' ).
tff(func_def_160,type,
'uue$': 'Int_int_fun$' ).
tff(func_def_161,type,
'fst$o': 'A_a_b_vec_b_vec_prod$' > 'A$' ).
tff(func_def_162,type,
'snd$h': 'Nat_a_c_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_163,type,
'times$c': ( 'A_b_vec$' * 'A_b_vec$' ) > 'A_b_vec$' ).
tff(func_def_164,type,
'fun_app$w': ( 'A_nat_a_iarray_iarray_prod_bool_fun_fun$' * 'A$' ) > 'Nat_a_iarray_iarray_prod_bool_fun$' ).
tff(func_def_165,type,
'gauss_Jordan_column_k_det_P$b': ( 'A_nat_a_b_vec_b_vec_prod_prod$' * 'Nat$' ) > 'A_nat_a_b_vec_b_vec_prod_prod$' ).
tff(func_def_166,type,
'pair$c': ( 'A$' * 'Nat_a_iarray_iarray_prod$' ) > 'A_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_167,type,
'fun_app$b': ( 'A_a_fun$' * 'A$' ) > 'A$' ).
tff(func_def_168,type,
'gauss_Jordan_in_ij_det_P$c': ( 'A_b_vec_b_vec$' * 'B$' * 'B$' ) > 'A_a_b_vec_b_vec_prod$' ).
tff(func_def_169,type,
'times$e': ( 'A_set$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_170,type,
'fun_app$a': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_171,type,
'vec_nth$e': ( 'A_b_vec_b_vec$' * 'B$' ) > 'A_b_vec$' ).
tff(func_def_172,type,
'fst$i': 'A_a_c_vec_c_vec_prod$' > 'A$' ).
tff(func_def_173,type,
'from_nat$': 'Nat$' > 'C$' ).
tff(func_def_174,type,
'fst$d': 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_175,type,
'plus$k': ( 'A_nat_a_iarray_iarray_prod_prod$' * 'A_nat_a_iarray_iarray_prod_prod$' ) > 'A_nat_a_iarray_iarray_prod_prod$' ).
tff(func_def_176,type,
'fst$n': 'A_nat_a_b_vec_b_vec_prod_prod$' > 'A$' ).
tff(func_def_177,type,
'pair$m': ( $int * $int ) > 'Int_int_prod$' ).
tff(func_def_178,type,
'n$': 'A$' ).
tff(func_def_179,type,
'fst$x': 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' > 'A_c_vec_c_vec$' ).
tff(func_def_180,type,
'a$': 'A_b_vec_c_vec$' ).
tff(func_def_181,type,
'zero$l': 'A_b_vec$' ).
tff(func_def_182,type,
'gauss_Jordan_in_ij_PA$c': ( 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' * 'C$' * 'B$' ) > 'A_c_vec_c_vec_a_b_vec_c_vec_prod$' ).
tff(func_def_183,type,
'pair$l': ( 'Nat$' * 'A_b_vec_b_vec$' ) > 'Nat_a_b_vec_b_vec_prod$' ).
tff(func_def_184,type,
'snd$l': 'A_a_c_vec_b_vec_prod$' > 'A_c_vec_b_vec$' ).
tff(func_def_185,type,
'pair$e': ( 'A$' * 'A_b_vec_c_vec$' ) > 'A_a_b_vec_c_vec_prod$' ).
tff(func_def_186,type,
'snd$m': 'A_nat_a_b_vec_b_vec_prod_prod$' > 'Nat_a_b_vec_b_vec_prod$' ).
tff(func_def_187,type,
'pair$g': ( 'A$' * 'Nat_a_c_vec_c_vec_prod$' ) > 'A_nat_a_c_vec_c_vec_prod_prod$' ).
tff(func_def_188,type,
'vec_nth$d': ( 'A_c_vec_b_vec$' * 'B$' ) > 'A_c_vec$' ).
tff(func_def_189,type,
'snd$b': 'A_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_190,type,
'pair$w': ( 'A_b_vec_b_vec$' * 'A_b_vec_b_vec$' ) > 'A_b_vec_b_vec_a_b_vec_b_vec_prod$' ).
tff(func_def_191,type,
'k$': 'Nat$' ).
tff(func_def_192,type,
'uub$': 'Int_int_fun$' ).
tff(func_def_193,type,
'pair$v': ( 'A_b_vec_b_vec$' * 'Nat_a_b_vec_b_vec_prod$' ) > 'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$' ).
tff(func_def_199,type,
sK2: 'C$' ).
tff(func_def_200,type,
sK3: ( 'A_nat_a_b_vec_c_vec_prod_prod$' * 'Nat$' ) > 'C$' ).
tff(func_def_201,type,
sK4: 'Nat_a_iarray_prod_bool_fun$' > 'Nat$' ).
tff(func_def_202,type,
sK5: 'Nat_a_iarray_prod_bool_fun$' > 'A_iarray$' ).
tff(func_def_203,type,
sK6: 'Nat_a_iarray_prod$' > 'Nat$' ).
tff(func_def_204,type,
sK7: 'Nat_a_iarray_prod$' > 'A_iarray$' ).
tff(func_def_205,type,
sK8: 'Nat_a_iarray_prod$' > 'Nat$' ).
tff(func_def_206,type,
sK9: 'Nat_a_iarray_prod$' > 'A_iarray$' ).
tff(func_def_207,type,
sK10: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).
tff(func_def_208,type,
sK11: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat$' ).
tff(func_def_209,type,
sK12: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_210,type,
sK13: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_211,type,
sK14: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_212,type,
sK15: 'Nat_a_b_vec_c_vec_prod$' > 'Nat$' ).
tff(func_def_213,type,
sK16: 'Nat_a_b_vec_c_vec_prod$' > 'A_b_vec_c_vec$' ).
tff(func_def_214,type,
sK17: ( 'A_b_vec_c_vec$' * 'A_b_vec_c_vec$' ) > 'C$' ).
tff(func_def_215,type,
sK18: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_216,type,
sK19: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_217,type,
sK20: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_218,type,
sK21: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_219,type,
sK22: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_220,type,
sK23: ( 'A_b_vec$' * 'A_b_vec$' ) > 'B$' ).
tff(func_def_221,type,
sK24: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).
tff(func_def_222,type,
sK25: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_223,type,
sK26: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'A$' ).
tff(func_def_224,type,
sK27: 'A_nat_a_b_vec_c_vec_prod_prod$' > 'Nat_a_b_vec_c_vec_prod$' ).
tff(func_def_225,type,
sK28: 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).
tff(func_def_226,type,
sK29: 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat$' ).
tff(func_def_227,type,
sK30: 'A_nat_a_iarray_iarray_prod_prod$' > 'A_iarray_iarray$' ).
tff(func_def_228,type,
sK31: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_229,type,
sK32: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_230,type,
sK33: 'Nat_a_iarray_iarray_prod$' > 'Nat$' ).
tff(func_def_231,type,
sK34: 'Nat_a_iarray_iarray_prod$' > 'A_iarray_iarray$' ).
tff(func_def_232,type,
sK35: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_233,type,
sK36: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_234,type,
sK37: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_235,type,
sK38: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_236,type,
sK39: 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).
tff(func_def_237,type,
sK40: 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_238,type,
sK41: 'A_nat_a_iarray_iarray_prod_prod$' > 'A$' ).
tff(func_def_239,type,
sK42: 'A_nat_a_iarray_iarray_prod_prod$' > 'Nat_a_iarray_iarray_prod$' ).
tff(func_def_240,type,
sF43: $int ).
tff(func_def_241,type,
sF44: 'Nat$' ).
tff(func_def_242,type,
sF45: $int ).
tff(func_def_243,type,
sF46: 'C_a_b_vec_fun$' ).
tff(func_def_244,type,
sF47: 'A_b_vec$' ).
tff(func_def_245,type,
sF48: 'B_a_fun$' ).
tff(func_def_246,type,
sF49: 'B$' ).
tff(func_def_247,type,
sF50: 'A$' ).
tff(func_def_248,type,
sF51: 'C$' ).
tff(pred_def_1,type,
'upper_triangular$': 'A_b_vec_b_vec$' > $o ).
tff(pred_def_2,type,
'less_eq$c': ( 'A_set$' * 'A_set$' ) > $o ).
tff(pred_def_3,type,
'fun_app$i': ( 'Nat_a_iarray_iarray_prod_bool_fun$' * 'Nat_a_iarray_iarray_prod$' ) > $o ).
tff(pred_def_4,type,
'divides_aux$': 'Int_int_prod$' > $o ).
tff(pred_def_5,type,
'less_eq$b': ( 'B$' * 'B$' ) > $o ).
tff(pred_def_6,type,
'fun_app$k': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_7,type,
'fun_app$g': ( 'Nat_a_b_vec_c_vec_prod_bool_fun$' * 'Nat_a_b_vec_c_vec_prod$' ) > $o ).
tff(pred_def_8,type,
'fun_app$o': ( 'A_b_vec_c_vec_bool_fun$' * 'A_b_vec_c_vec$' ) > $o ).
tff(pred_def_9,type,
'fun_app$s': ( 'A_iarray_iarray_bool_fun$' * 'A_iarray_iarray$' ) > $o ).
tff(pred_def_10,type,
'fun_app$f': ( 'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$' * 'A_nat_a_b_vec_c_vec_prod_prod$' ) > $o ).
tff(pred_def_11,type,
'fun_app$h': ( 'A_nat_a_iarray_iarray_prod_prod_bool_fun$' * 'A_nat_a_iarray_iarray_prod_prod$' ) > $o ).
tff(pred_def_12,type,
'upper_triangular$a': 'A_b_vec_c_vec_c_vec$' > $o ).
tff(pred_def_13,type,
'less$a': ( 'C$' * 'C$' ) > $o ).
tff(pred_def_14,type,
'fun_app$e': ( 'Nat_a_iarray_prod_bool_fun$' * 'Nat_a_iarray_prod$' ) > $o ).
tff(pred_def_15,type,
'member$b': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_16,type,
'fun_app$j': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_17,type,
'less$b': ( 'B$' * 'B$' ) > $o ).
tff(pred_def_18,type,
'fun_app$q': ( 'A_iarray_bool_fun$' * 'A_iarray$' ) > $o ).
tff(pred_def_19,type,
'member$a': ( 'A$' * 'A_set$' ) > $o ).
tff(pred_def_20,type,
'less_eq$d': ( 'Int_set$' * 'Int_set$' ) > $o ).
tff(pred_def_21,type,
'member$': ( $int * 'Int_set$' ) > $o ).
tff(pred_def_22,type,
'less_eq$': ( 'C$' * 'C$' ) > $o ).
tff(pred_def_23,type,
'fun_app$m': ( 'A_b_vec_bool_fun$' * 'A_b_vec$' ) > $o ).
tff(f2647,plain,
$false,
inference(avatar_sat_refutation,[],[f2005,f2055,f2219,f2322,f2646]) ).
tff(f2646,plain,
spl52_6,
inference(avatar_contradiction_clause,[],[f2645]) ).
tff(f2645,plain,
( $false
| spl52_6 ),
inference(subsumption_resolution,[],[f2644,f2015]) ).
tff(f2015,plain,
( ( sF43 != sF45 )
| spl52_6 ),
inference(avatar_component_clause,[],[f2014]) ).
tff(f2014,plain,
( spl52_6
<=> ( sF43 = sF45 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
tff(f2644,plain,
sF43 = sF45,
inference(subsumption_resolution,[],[f2566,f2068]) ).
tff(f2068,plain,
~ $less(sF43,sF45),
inference(forward_demodulation,[],[f2067,f1963]) ).
tff(f1963,plain,
'of_nat$'('i$') = sF43,
introduced(function_definition,[new_symbols(definition,[sF43])]) ).
tff(f2067,plain,
~ $less('of_nat$'('i$'),sF45),
inference(forward_demodulation,[],[f2066,f1965]) ).
tff(f1965,plain,
'of_nat$'(sF44) = sF45,
introduced(function_definition,[new_symbols(definition,[sF45])]) ).
tff(f2066,plain,
~ $less('of_nat$'('i$'),'of_nat$'(sF44)),
inference(forward_demodulation,[],[f1553,f1964]) ).
tff(f1964,plain,
'nrows$'('a$') = sF44,
introduced(function_definition,[new_symbols(definition,[sF44])]) ).
tff(f1553,plain,
~ $less('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
inference(cnf_transformation,[],[f12]) ).
tff(f12,axiom,
~ $less('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom10) ).
tff(f2566,plain,
( $less(sF43,sF45)
| ( sF43 = sF45 ) ),
inference(resolution,[],[f1301,f2071]) ).
tff(f2071,plain,
~ $less(sF45,sF43),
inference(forward_demodulation,[],[f2070,f1965]) ).
tff(f2070,plain,
~ $less('of_nat$'(sF44),sF43),
inference(forward_demodulation,[],[f2069,f1964]) ).
tff(f2069,plain,
~ $less('of_nat$'('nrows$'('a$')),sF43),
inference(forward_demodulation,[],[f1554,f1963]) ).
tff(f1554,plain,
~ $less('of_nat$'('nrows$'('a$')),'of_nat$'('i$')),
inference(cnf_transformation,[],[f637]) ).
tff(f637,plain,
~ $less('of_nat$'('nrows$'('a$')),'of_nat$'('i$')),
inference(theory_normalization,[],[f11]) ).
tff(f11,axiom,
$lesseq('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom9) ).
tff(f1301,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f1076]) ).
tff(f1076,plain,
! [X0: $int,X1: $int] :
( ( ( ~ $less(X0,X1)
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| $less(X0,X1) ) )
| $less(X1,X0) ),
inference(nnf_transformation,[],[f846]) ).
tff(f846,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,X1)
<=> ( X0 = X1 ) )
| $less(X1,X0) ),
inference(ennf_transformation,[],[f774]) ).
tff(f774,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ( ~ $less(X0,X1)
<=> ( X0 = X1 ) ) ),
inference(theory_normalization,[],[f631]) ).
tff(f631,axiom,
! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> ( $lesseq(X1,X0)
<=> ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom629) ).
tff(f2322,plain,
( ~ spl52_6
| spl52_5 ),
inference(avatar_split_clause,[],[f2319,f2000,f2014]) ).
tff(f2000,plain,
( spl52_5
<=> ( 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) = sF43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
tff(f2319,plain,
( ( sF43 != sF45 )
| spl52_5 ),
inference(superposition,[],[f2303,f1965]) ).
tff(f2303,plain,
( ( sF43 != 'of_nat$'(sF44) )
| spl52_5 ),
inference(forward_demodulation,[],[f2302,f1964]) ).
tff(f2302,plain,
( ( 'of_nat$'('nrows$'('a$')) != sF43 )
| spl52_5 ),
inference(forward_demodulation,[],[f2001,f2299]) ).
tff(f2299,plain,
! [X0: 'A_b_vec_c_vec$'] : ( 'nrows$'(X0) = 'nrows_iarray$'('matrix_to_iarray$'(X0)) ),
inference(forward_demodulation,[],[f2290,f1605]) ).
tff(f1605,plain,
! [X0: 'Nat$'] : ( 'nat$'('of_nat$'(X0)) = X0 ),
inference(cnf_transformation,[],[f633]) ).
tff(f633,axiom,
! [X0: 'Nat$'] : ( 'nat$'('of_nat$'(X0)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom631) ).
tff(f2290,plain,
! [X0: 'A_b_vec_c_vec$'] : ( 'nrows_iarray$'('matrix_to_iarray$'(X0)) = 'nat$'('of_nat$'('nrows$'(X0))) ),
inference(superposition,[],[f1605,f1565]) ).
tff(f1565,plain,
! [X0: 'A_b_vec_c_vec$'] : ( 'of_nat$'('nrows$'(X0)) = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'(X0))) ),
inference(cnf_transformation,[],[f573]) ).
tff(f573,axiom,
! [X0: 'A_b_vec_c_vec$'] : ( 'of_nat$'('nrows$'(X0)) = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'(X0))) ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom571) ).
tff(f2001,plain,
( ( 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) != sF43 )
| spl52_5 ),
inference(avatar_component_clause,[],[f2000]) ).
tff(f2219,plain,
spl52_2,
inference(avatar_contradiction_clause,[],[f2218]) ).
tff(f2218,plain,
( $false
| spl52_2 ),
inference(trivial_inequality_removal,[],[f2217]) ).
tff(f2217,plain,
( ( 'matrix_to_iarray$'('a$') != 'matrix_to_iarray$'('a$') )
| spl52_2 ),
inference(forward_demodulation,[],[f2216,f1860]) ).
tff(f1860,plain,
! [X0: 'Nat$',X1: 'A_b_vec_c_vec$'] : ( 'snd$'('pair$a'(X0,X1)) = X1 ),
inference(equality_resolution,[],[f1316]) ).
tff(f1316,plain,
! [X2: 'A_b_vec_c_vec$',X0: 'Nat$',X1: 'A_b_vec_c_vec$'] :
( ( X1 = X2 )
| ( 'snd$'('pair$a'(X0,X1)) != X2 ) ),
inference(cnf_transformation,[],[f854]) ).
tff(f854,plain,
! [X0: 'Nat$',X1: 'A_b_vec_c_vec$',X2: 'A_b_vec_c_vec$'] :
( ( X1 = X2 )
| ( 'snd$'('pair$a'(X0,X1)) != X2 ) ),
inference(ennf_transformation,[],[f280]) ).
tff(f280,axiom,
! [X0: 'Nat$',X1: 'A_b_vec_c_vec$',X2: 'A_b_vec_c_vec$'] :
( ( 'snd$'('pair$a'(X0,X1)) = X2 )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom278) ).
tff(f2216,plain,
( ( 'matrix_to_iarray$'('a$') != 'matrix_to_iarray$'('snd$'('pair$a'('i$','a$'))) )
| spl52_2 ),
inference(forward_demodulation,[],[f2215,f1899]) ).
tff(f1899,plain,
! [X0: 'A$',X1: 'Nat_a_b_vec_c_vec_prod$'] : ( 'snd$a'('pair$'(X0,X1)) = X1 ),
inference(equality_resolution,[],[f1562]) ).
tff(f1562,plain,
! [X2: 'Nat_a_b_vec_c_vec_prod$',X0: 'A$',X1: 'Nat_a_b_vec_c_vec_prod$'] :
( ( X1 = X2 )
| ( 'snd$a'('pair$'(X0,X1)) != X2 ) ),
inference(cnf_transformation,[],[f943]) ).
tff(f943,plain,
! [X0: 'A$',X1: 'Nat_a_b_vec_c_vec_prod$',X2: 'Nat_a_b_vec_c_vec_prod$'] :
( ( X1 = X2 )
| ( 'snd$a'('pair$'(X0,X1)) != X2 ) ),
inference(ennf_transformation,[],[f284]) ).
tff(f284,axiom,
! [X0: 'A$',X1: 'Nat_a_b_vec_c_vec_prod$',X2: 'Nat_a_b_vec_c_vec_prod$'] :
( ( 'snd$a'('pair$'(X0,X1)) = X2 )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom282) ).
tff(f2215,plain,
( ( 'matrix_to_iarray$'('a$') != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) )
| spl52_2 ),
inference(forward_demodulation,[],[f2214,f1867]) ).
tff(f1867,plain,
! [X0: 'Nat$',X1: 'A_iarray_iarray$'] : ( 'snd$c'('pair$d'(X0,X1)) = X1 ),
inference(equality_resolution,[],[f1339]) ).
tff(f1339,plain,
! [X2: 'A_iarray_iarray$',X0: 'Nat$',X1: 'A_iarray_iarray$'] :
( ( X1 = X2 )
| ( 'snd$c'('pair$d'(X0,X1)) != X2 ) ),
inference(cnf_transformation,[],[f863]) ).
tff(f863,plain,
! [X0: 'Nat$',X1: 'A_iarray_iarray$',X2: 'A_iarray_iarray$'] :
( ( X1 = X2 )
| ( 'snd$c'('pair$d'(X0,X1)) != X2 ) ),
inference(ennf_transformation,[],[f282]) ).
tff(f282,axiom,
! [X0: 'Nat$',X1: 'A_iarray_iarray$',X2: 'A_iarray_iarray$'] :
( ( 'snd$c'('pair$d'(X0,X1)) = X2 )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom280) ).
tff(f2214,plain,
( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('pair$d'('i$','matrix_to_iarray$'('a$'))) )
| spl52_2 ),
inference(forward_demodulation,[],[f1987,f1896]) ).
tff(f1896,plain,
! [X0: 'A$',X1: 'Nat_a_iarray_iarray_prod$'] : ( 'snd$d'('pair$c'(X0,X1)) = X1 ),
inference(equality_resolution,[],[f1424]) ).
tff(f1424,plain,
! [X2: 'Nat_a_iarray_iarray_prod$',X0: 'A$',X1: 'Nat_a_iarray_iarray_prod$'] :
( ( X1 = X2 )
| ( 'snd$d'('pair$c'(X0,X1)) != X2 ) ),
inference(cnf_transformation,[],[f888]) ).
tff(f888,plain,
! [X0: 'A$',X1: 'Nat_a_iarray_iarray_prod$',X2: 'Nat_a_iarray_iarray_prod$'] :
( ( X1 = X2 )
| ( 'snd$d'('pair$c'(X0,X1)) != X2 ) ),
inference(ennf_transformation,[],[f285]) ).
tff(f285,axiom,
! [X0: 'A$',X1: 'Nat_a_iarray_iarray_prod$',X2: 'Nat_a_iarray_iarray_prod$'] :
( ( 'snd$d'('pair$c'(X0,X1)) = X2 )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',axiom283) ).
tff(f1987,plain,
( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
| spl52_2 ),
inference(avatar_component_clause,[],[f1985]) ).
tff(f1985,plain,
( spl52_2
<=> ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
tff(f2055,plain,
( spl52_1
| ~ spl52_6 ),
inference(avatar_split_clause,[],[f1966,f2014,f1981]) ).
tff(f1981,plain,
( spl52_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
tff(f1966,plain,
( ( sF43 != sF45 )
| sP1 ),
inference(definition_folding,[],[f1299,f1965,f1964,f1963]) ).
tff(f1299,plain,
( ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
| sP1 ),
inference(cnf_transformation,[],[f1075]) ).
tff(f1075,plain,
( ( sP0
& ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
& ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),sK2)),'from_nat$a'('k$')) )
& 'less_eq$'('from_nat$'('i$'),sK2) )
| sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f1070,f1074]) ).
tff(f1074,plain,
( ? [X0: 'C$'] :
( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
& 'less_eq$'('from_nat$'('i$'),X0) )
=> ( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),sK2)),'from_nat$a'('k$')) )
& 'less_eq$'('from_nat$'('i$'),sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f1070,plain,
( ( sP0
& ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
& ? [X0: 'C$'] :
( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
& 'less_eq$'('from_nat$'('i$'),X0) ) )
| sP1 ),
inference(definition_folding,[],[f845,f1069,f1068]) ).
tff(f1068,plain,
( ( ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f1069,plain,
( ( ( ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) ) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X1: 'C$'] :
( ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) )
| ~ 'less_eq$'('from_nat$'('i$'),X1) ) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f845,plain,
( ( ( ( ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) ) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
& ? [X0: 'C$'] :
( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
& 'less_eq$'('from_nat$'('i$'),X0) ) )
| ( ( ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) ) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X1: 'C$'] :
( ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) )
| ~ 'less_eq$'('from_nat$'('i$'),X1) ) ) ) ),
inference(flattening,[],[f844]) ).
tff(f844,plain,
( ( ( ( ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) != 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) ) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) )
& ? [X0: 'C$'] :
( ( 'zero$a' != 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
& 'less_eq$'('from_nat$'('i$'),X0) ) )
| ( ( ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) ) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X1: 'C$'] :
( ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) )
| ~ 'less_eq$'('from_nat$'('i$'),X1) ) ) ) ),
inference(ennf_transformation,[],[f795]) ).
tff(f795,plain,
~ ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X0: 'C$'] :
( 'less_eq$'('from_nat$'('i$'),X0)
=> ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) ) )
=> ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X1: 'C$'] :
( 'less_eq$'('from_nat$'('i$'),X1)
=> ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) ) ) )
=> ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ) ) ) ),
inference(rectify,[],[f10]) ).
tff(f10,negated_conjecture,
~ ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X0: 'C$'] :
( 'less_eq$'('from_nat$'('i$'),X0)
=> ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) ) )
=> ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X0: 'C$'] :
( 'less_eq$'('from_nat$'('i$'),X0)
=> ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) ) )
=> ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ) ) ) ),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X0: 'C$'] :
( 'less_eq$'('from_nat$'('i$'),X0)
=> ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) ) )
=> ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) = 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('fun_app$b'('times$'('fst$'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))),'n$'),'pair$a'('nat$'($sum('of_nat$'('i$'),1)),'snd$b'('gauss_Jordan_in_ij_det_P$'('a$','from_nat$'('i$'),'from_nat$a'('k$')))))))) ) ) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X0: 'C$'] :
( 'less_eq$'('from_nat$'('i$'),X0)
=> ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) ) ) )
=> ( ( ~ ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) ) )
& ( ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
=> ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) = 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431',conjecture8) ).
tff(f2005,plain,
( ~ spl52_1
| ~ spl52_2
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f2004,f2000,f1985,f1981]) ).
tff(f2004,plain,
( ( 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) != sF43 )
| ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
| ~ sP1 ),
inference(forward_demodulation,[],[f1288,f1963]) ).
tff(f1288,plain,
( ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
| ~ sP1 ),
inference(cnf_transformation,[],[f1072]) ).
tff(f1072,plain,
( ( ( ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) ) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X0: 'C$'] :
( ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X0)),'from_nat$a'('k$')) )
| ~ 'less_eq$'('from_nat$'('i$'),X0) ) ) )
| ~ sP1 ),
inference(rectify,[],[f1071]) ).
tff(f1071,plain,
( ( ( ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('fun_app$b'('times$'('fst$a'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$'))),'n$'),'pair$d'('nat$'($sum('of_nat$'('i$'),1)),'snd$e'('gauss_Jordan_in_ij_det_P_iarrays$'('matrix_to_iarray$'('a$'),'i$','k$')))))) )
& ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
& ~ 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) )
| ( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| 'fun_app$e'('vector_all_zero_from_index$','pair$b'('i$','column_iarray$'('k$','matrix_to_iarray$'('a$')))) ) ) )
& ( ( 'of_nat$'('i$') = 'of_nat$'('nrows$'('a$')) )
| ! [X1: 'C$'] :
( ( 'zero$a' = 'fun_app$c'('vec_nth$'('fun_app$d'('vec_nth$a'('a$'),X1)),'from_nat$a'('k$')) )
| ~ 'less_eq$'('from_nat$'('i$'),X1) ) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f1069]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.16 % 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
% 0.13/0.37 % Computer : n027.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Fri May 3 19:20:38 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 This is a TF0_THM_EQU_ARI problem
% 0.13/0.38 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/tmp/tmp.QXOIYCK88Z/Vampire---4.8_8431
% 0.62/0.82 % (8539)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.82 % (8541)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82 % (8543)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.82 % (8542)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.82 % (8544)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.82 % (8546)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.82 % (8540)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.82 % (8545)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.82 % (8539)Instruction limit reached!
% 0.62/0.82 % (8539)------------------------------
% 0.62/0.82 % (8539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (8539)Termination reason: Unknown
% 0.62/0.82 % (8539)Termination phase: Preprocessing 3
% 0.62/0.82
% 0.62/0.82 % (8539)Memory used [KB]: 1721
% 0.62/0.82 % (8539)Time elapsed: 0.010 s
% 0.62/0.82 % (8539)Instructions burned: 34 (million)
% 0.62/0.82 % (8539)------------------------------
% 0.62/0.82 % (8539)------------------------------
% 0.62/0.83 % (8547)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 Vampire---4 for (2995ds/55Mi)
% 0.62/0.83 % (8542)Instruction limit reached!
% 0.62/0.83 % (8542)------------------------------
% 0.62/0.83 % (8542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (8543)Instruction limit reached!
% 0.62/0.83 % (8543)------------------------------
% 0.62/0.83 % (8543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (8542)Termination reason: Unknown
% 0.62/0.83 % (8542)Termination phase: Clausification
% 0.62/0.83
% 0.62/0.83 % (8542)Memory used [KB]: 1806
% 0.62/0.83 % (8542)Time elapsed: 0.016 s
% 0.62/0.83 % (8542)Instructions burned: 35 (million)
% 0.62/0.83 % (8542)------------------------------
% 0.62/0.83 % (8542)------------------------------
% 0.62/0.83 % (8543)Termination reason: Unknown
% 0.62/0.83 % (8543)Termination phase: Preprocessing 3
% 0.62/0.83
% 0.62/0.83 % (8543)Memory used [KB]: 1765
% 0.62/0.83 % (8543)Time elapsed: 0.016 s
% 0.62/0.83 % (8543)Instructions burned: 35 (million)
% 0.62/0.83 % (8543)------------------------------
% 0.62/0.83 % (8543)------------------------------
% 0.62/0.83 % (8548)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 Vampire---4 for (2995ds/50Mi)
% 0.67/0.83 % (8544)Instruction limit reached!
% 0.67/0.83 % (8544)------------------------------
% 0.67/0.83 % (8544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83 % (8544)Termination reason: Unknown
% 0.67/0.83 % (8544)Termination phase: Property scanning
% 0.67/0.83
% 0.67/0.83 % (8544)Memory used [KB]: 1965
% 0.67/0.83 % (8544)Time elapsed: 0.021 s
% 0.67/0.83 % (8544)Instructions burned: 47 (million)
% 0.67/0.83 % (8544)------------------------------
% 0.67/0.83 % (8544)------------------------------
% 0.67/0.84 % (8546)Instruction limit reached!
% 0.67/0.84 % (8546)------------------------------
% 0.67/0.84 % (8546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (8546)Termination reason: Unknown
% 0.67/0.84 % (8546)Termination phase: Property scanning
% 0.67/0.84
% 0.67/0.84 % (8546)Memory used [KB]: 2101
% 0.67/0.84 % (8546)Time elapsed: 0.023 s
% 0.67/0.84 % (8546)Instructions burned: 56 (million)
% 0.67/0.84 % (8546)------------------------------
% 0.67/0.84 % (8546)------------------------------
% 0.67/0.84 % (8540)Instruction limit reached!
% 0.67/0.84 % (8540)------------------------------
% 0.67/0.84 % (8540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (8540)Termination reason: Unknown
% 0.67/0.84 % (8540)Termination phase: Property scanning
% 0.67/0.84
% 0.67/0.84 % (8540)Memory used [KB]: 2143
% 0.67/0.84 % (8540)Time elapsed: 0.024 s
% 0.67/0.84 % (8540)Instructions burned: 53 (million)
% 0.67/0.84 % (8540)------------------------------
% 0.67/0.84 % (8540)------------------------------
% 0.67/0.84 % (8550)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 Vampire---4 for (2995ds/52Mi)
% 0.67/0.84 % (8551)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 Vampire---4 for (2995ds/518Mi)
% 0.67/0.84 % (8547)Instruction limit reached!
% 0.67/0.84 % (8547)------------------------------
% 0.67/0.84 % (8547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84 % (8547)Termination reason: Unknown
% 0.67/0.84 % (8547)Termination phase: Property scanning
% 0.67/0.84
% 0.67/0.84 % (8547)Memory used [KB]: 2149
% 0.67/0.84 % (8547)Time elapsed: 0.015 s
% 0.67/0.84 % (8547)Instructions burned: 55 (million)
% 0.67/0.84 % (8547)------------------------------
% 0.67/0.84 % (8547)------------------------------
% 0.67/0.84 % (8552)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 Vampire---4 for (2995ds/42Mi)
% 0.67/0.84 % (8549)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.67/0.84 % (8553)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 Vampire---4 for (2995ds/243Mi)
% 0.67/0.85 % (8541)Instruction limit reached!
% 0.67/0.85 % (8541)------------------------------
% 0.67/0.85 % (8541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (8541)Termination reason: Unknown
% 0.67/0.85 % (8541)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (8541)Memory used [KB]: 2271
% 0.67/0.85 % (8541)Time elapsed: 0.035 s
% 0.67/0.85 % (8541)Instructions burned: 80 (million)
% 0.67/0.85 % (8541)------------------------------
% 0.67/0.85 % (8541)------------------------------
% 0.67/0.85 % (8545)Instruction limit reached!
% 0.67/0.85 % (8545)------------------------------
% 0.67/0.85 % (8545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (8545)Termination reason: Unknown
% 0.67/0.85 % (8545)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (8545)Memory used [KB]: 2520
% 0.67/0.85 % (8545)Time elapsed: 0.038 s
% 0.67/0.85 % (8545)Instructions burned: 83 (million)
% 0.67/0.85 % (8545)------------------------------
% 0.67/0.85 % (8545)------------------------------
% 0.67/0.85 % (8548)Instruction limit reached!
% 0.67/0.85 % (8548)------------------------------
% 0.67/0.85 % (8548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (8548)Termination reason: Unknown
% 0.67/0.85 % (8548)Termination phase: Property scanning
% 0.67/0.85
% 0.67/0.85 % (8548)Memory used [KB]: 2143
% 0.67/0.85 % (8548)Time elapsed: 0.023 s
% 0.67/0.85 % (8548)Instructions burned: 52 (million)
% 0.67/0.85 % (8548)------------------------------
% 0.67/0.85 % (8548)------------------------------
% 0.67/0.86 % (8554)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.67/0.86 % (8556)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 Vampire---4 for (2995ds/93Mi)
% 0.67/0.86 % (8552)Instruction limit reached!
% 0.67/0.86 % (8552)------------------------------
% 0.67/0.86 % (8552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.86 % (8552)Termination reason: Unknown
% 0.67/0.86 % (8552)Termination phase: Property scanning
% 0.67/0.86
% 0.67/0.86 % (8552)Memory used [KB]: 2149
% 0.67/0.86 % (8552)Time elapsed: 0.019 s
% 0.67/0.86 % (8552)Instructions burned: 42 (million)
% 0.67/0.86 % (8552)------------------------------
% 0.67/0.86 % (8552)------------------------------
% 0.67/0.86 % (8550)Instruction limit reached!
% 0.67/0.86 % (8550)------------------------------
% 0.67/0.86 % (8550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.86 % (8550)Termination reason: Unknown
% 0.67/0.86 % (8550)Termination phase: Property scanning
% 0.67/0.86
% 0.67/0.86 % (8550)Memory used [KB]: 2129
% 0.67/0.86 % (8550)Time elapsed: 0.024 s
% 0.67/0.86 % (8550)Instructions burned: 54 (million)
% 0.67/0.86 % (8550)------------------------------
% 0.67/0.86 % (8550)------------------------------
% 0.67/0.86 % (8557)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 Vampire---4 for (2995ds/62Mi)
% 0.67/0.86 % (8555)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 Vampire---4 for (2995ds/143Mi)
% 0.67/0.86 % (8558)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 Vampire---4 for (2995ds/32Mi)
% 0.67/0.88 % (8558)Instruction limit reached!
% 0.67/0.88 % (8558)------------------------------
% 0.67/0.88 % (8558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.88 % (8558)Termination reason: Unknown
% 0.67/0.88 % (8558)Termination phase: SInE selection
% 0.67/0.88
% 0.67/0.88 % (8558)Memory used [KB]: 1651
% 0.67/0.88 % (8558)Time elapsed: 0.015 s
% 0.67/0.88 % (8558)Instructions burned: 33 (million)
% 0.67/0.88 % (8558)------------------------------
% 0.67/0.88 % (8558)------------------------------
% 0.67/0.88 % (8559)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 Vampire---4 for (2995ds/1919Mi)
% 0.67/0.88 % (8549)First to succeed.
% 0.67/0.89 % (8557)Instruction limit reached!
% 0.67/0.89 % (8557)------------------------------
% 0.67/0.89 % (8557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.89 % (8557)Termination reason: Unknown
% 0.67/0.89 % (8557)Termination phase: Property scanning
% 0.67/0.89
% 0.67/0.89 % (8557)Memory used [KB]: 2128
% 0.67/0.89 % (8557)Time elapsed: 0.027 s
% 0.67/0.89 % (8557)Instructions burned: 62 (million)
% 0.67/0.89 % (8557)------------------------------
% 0.67/0.89 % (8557)------------------------------
% 0.67/0.89 % (8549)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8538"
% 0.67/0.89 % (8549)Refutation found. Thanks to Tanya!
% 0.67/0.89 % SZS status Theorem for Vampire---4
% 0.67/0.89 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.89 % (8549)------------------------------
% 0.67/0.89 % (8549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.89 % (8549)Termination reason: Refutation
% 0.67/0.89
% 0.67/0.89 % (8549)Memory used [KB]: 2144
% 0.67/0.89 % (8549)Time elapsed: 0.047 s
% 0.67/0.89 % (8549)Instructions burned: 98 (million)
% 0.67/0.89 % (8538)Success in time 0.501 s
% 0.67/0.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------