%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP335_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:38 AM UTC 2026
% Result : Theorem 7.59s 2.15s
% Output : Refutation 9.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 29 unt; 0 typ; 7 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 38 ( 35 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 126 ( 126 usr; 29 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_rows_vec_a_fun$': $tType ).
tff(type_def_6,type,
'Real_real_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'Int_bool_fun$': $tType ).
tff(type_def_8,type,
'Rows$': $tType ).
tff(type_def_9,type,
'A_cols_vec_bool_fun$': $tType ).
tff(type_def_10,type,
'Int_real_fun$': $tType ).
tff(type_def_11,type,
'Rows_a_cols_vec_fun$': $tType ).
tff(type_def_12,type,
'Rows_a_cols_vec_bool_fun_fun$': $tType ).
tff(type_def_13,type,
'A_a_cols_vec_fun$': $tType ).
tff(type_def_14,type,
'Rows_a_rows_vec_bool_fun_fun$': $tType ).
tff(type_def_15,type,
'Int_int_fun$': $tType ).
tff(type_def_16,type,
'A_rows_vec_cols_vec$': $tType ).
tff(type_def_17,type,
'A_rows_vec_rows_vec_rows_vec$': $tType ).
tff(type_def_18,type,
'Nat_nat_fun$': $tType ).
tff(type_def_19,type,
'Nat$': $tType ).
tff(type_def_20,type,
'A_cols_vec_a_fun$': $tType ).
tff(type_def_21,type,
'A_rows_vec$': $tType ).
tff(type_def_22,type,
'Rows_a_rows_vec_fun$': $tType ).
tff(type_def_23,type,
'A_cols_vec_rows_vec_rows_vec$': $tType ).
tff(type_def_24,type,
tlbool: $tType ).
tff(type_def_25,type,
'A_cols_vec_rows_vec$': $tType ).
tff(type_def_26,type,
'Real_real_fun$': $tType ).
tff(type_def_27,type,
'Nat_real_fun$': $tType ).
tff(type_def_28,type,
'Real_int_fun$': $tType ).
tff(type_def_29,type,
'A_cols_vec$': $tType ).
tff(type_def_30,type,
'A$': $tType ).
tff(type_def_31,type,
'A_rows_vec_bool_fun$': $tType ).
tff(type_def_32,type,
'A_a_fun$': $tType ).
tff(type_def_33,type,
'Cols$': $tType ).
tff(type_def_34,type,
'A_cols_vec_cols_vec$': $tType ).
tff(type_def_35,type,
'A_rows_vec_rows_vec$': $tType ).
tff(type_def_36,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_37,type,
'Nat_bool_fun$': $tType ).
tff(type_def_38,type,
'Real_bool_fun$': $tType ).
tff(type_def_39,type,
'A_a_rows_vec_fun$': $tType ).
tff(func_def_0,type,
'fun_app$j': ( 'A_a_cols_vec_fun$' * 'A$' ) > 'A_cols_vec$' ).
tff(func_def_1,type,
'times$b': ( 'A_rows_vec_rows_vec$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_2,type,
'dbl_inc$': 'Int_int_fun$' ).
tff(func_def_3,type,
'uminus$': 'A_rows_vec_rows_vec$' > 'A_rows_vec_rows_vec$' ).
tff(func_def_4,type,
'p_Gauss_Jordan$': 'A_cols_vec_rows_vec$' > 'A_rows_vec_rows_vec$' ).
tff(func_def_5,type,
'matrix_matrix_mult$c': ( 'A_cols_vec_rows_vec$' * 'A_cols_vec_cols_vec$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_6,type,
'uu$': 'Int_int_bool_fun_fun$' ).
tff(func_def_7,type,
'interchange_rows$': ( 'A_rows_vec_rows_vec$' * 'Rows$' * 'Rows$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_8,type,
'interchange_rows$a': ( 'A_cols_vec_rows_vec$' * 'Rows$' * 'Rows$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_9,type,
'vec_nth$': 'A_rows_vec_rows_vec$' > 'Rows_a_rows_vec_fun$' ).
tff(func_def_10,type,
'matrix_matrix_mult$b': ( 'A_cols_vec_rows_vec$' * 'A_rows_vec_cols_vec$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_11,type,
'vector_matrix_mult$c': ( 'A_cols_vec$' * 'A_cols_vec_cols_vec$' ) > 'A_cols_vec$' ).
tff(func_def_12,type,
'map_matrix$c': ( 'A_a_fun$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_13,type,
'dbl_inc$a': 'Real_real_fun$' ).
tff(func_def_14,type,
'fun_app$d': ( 'Rows_a_rows_vec_fun$' * 'Rows$' ) > 'A_rows_vec$' ).
tff(func_def_15,type,
'vec$': 'A_rows_vec$' > 'A_rows_vec_rows_vec$' ).
tff(func_def_16,type,
'uminus$b': 'A_cols_vec_rows_vec$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_17,type,
'transpose$a': 'A_rows_vec_cols_vec$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_18,type,
'interchange_columns$': ( 'A_rows_vec_rows_vec$' * 'Rows$' * 'Rows$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_19,type,
'map_matrix$a': ( 'A_rows_vec_a_fun$' * 'A_rows_vec_rows_vec_rows_vec$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_20,type,
'fun_app$p': ( 'Real_int_fun$' * $real ) > $int ).
tff(func_def_21,type,
'transpose_row$d': 'A_rows_vec_cols_vec$' > 'Rows_a_cols_vec_fun$' ).
tff(func_def_22,type,
'fun_app$a': ( 'Real_real_bool_fun_fun$' * $real ) > 'Real_bool_fun$' ).
tff(func_def_23,type,
'transpose_row$': 'A_rows_vec_rows_vec$' > 'Rows_a_rows_vec_fun$' ).
tff(func_def_24,type,
'mat_mult_row$': ( 'A_rows_vec_rows_vec$' * 'A_cols_vec_rows_vec$' ) > 'Rows_a_cols_vec_fun$' ).
tff(func_def_25,type,
'map_matrix$e': ( 'A_a_cols_vec_fun$' * 'A_rows_vec_rows_vec$' ) > 'A_cols_vec_rows_vec_rows_vec$' ).
tff(func_def_26,type,
'one$e': 'Rows$' ).
tff(func_def_27,type,
'matrix_matrix_mult$a': ( 'A_rows_vec_rows_vec$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_28,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_29,type,
'fun_app$n': ( 'Rows_a_cols_vec_bool_fun_fun$' * 'Rows$' ) > 'A_cols_vec_bool_fun$' ).
tff(func_def_30,type,
'vector_matrix_mult$b': ( 'A_cols_vec$' * 'A_rows_vec_cols_vec$' ) > 'A_rows_vec$' ).
tff(func_def_31,type,
'map_matrix$d': ( 'A_a_rows_vec_fun$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec_rows_vec_rows_vec$' ).
tff(func_def_32,type,
'columnvector_row$a': ( 'A_cols_vec_rows_vec$' * 'Rows$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_33,type,
'fun_app$e': ( 'Rows_a_cols_vec_fun$' * 'Rows$' ) > 'A_cols_vec$' ).
tff(func_def_34,type,
'transpose$b': 'A_cols_vec_rows_vec$' > 'A_rows_vec_cols_vec$' ).
tff(func_def_35,type,
'interchange_columns_row$a': ( 'A_cols_vec_rows_vec$' * 'Cols$' * 'Cols$' ) > 'Rows_a_cols_vec_fun$' ).
tff(func_def_36,type,
'fun_app$t': ( 'Nat_real_fun$' * 'Nat$' ) > $real ).
tff(func_def_37,type,
'of_nat$d': 'Nat$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_38,type,
'one$': 'A$' ).
tff(func_def_39,type,
'rank$a': 'A_rows_vec_cols_vec$' > 'Nat$' ).
tff(func_def_40,type,
'zero$': 'A_rows_vec$' ).
tff(func_def_41,type,
'rank$b': 'A_rows_vec_rows_vec$' > 'Nat$' ).
tff(func_def_42,type,
'of_nat$a': 'Nat_real_fun$' ).
tff(func_def_43,type,
'uminus$c': 'A_cols_vec$' > 'A_cols_vec$' ).
tff(func_def_44,type,
'of_nat$e': 'Nat$' > 'A_cols_vec$' ).
tff(func_def_45,type,
'one$c': 'A_cols_vec_rows_vec$' ).
tff(func_def_46,type,
tltrue: tlbool ).
tff(func_def_47,type,
'interchange_columns$a': ( 'A_cols_vec_rows_vec$' * 'Cols$' * 'Cols$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_48,type,
'transpose$': 'A_rows_vec_rows_vec$' > 'A_rows_vec_rows_vec$' ).
tff(func_def_49,type,
'a$': 'A_cols_vec_rows_vec$' ).
tff(func_def_50,type,
'of_nat$c': 'Nat$' > 'A_rows_vec$' ).
tff(func_def_51,type,
'matrix_matrix_mult$d': ( 'A_rows_vec_cols_vec$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec_cols_vec$' ).
tff(func_def_52,type,
'column$': ( 'Rows$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_53,type,
'fun_app$q': ( 'Int_real_fun$' * $int ) > $real ).
tff(func_def_54,type,
'column$a': ( 'Cols$' * 'A_cols_vec_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_55,type,
'matrix_matrix_mult$': ( 'A_rows_vec_rows_vec$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_56,type,
'one$a': 'A_rows_vec_rows_vec$' ).
tff(func_def_57,type,
'columnvector_row$': ( 'A_rows_vec_rows_vec$' * 'Rows$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_58,type,
'fun_app$h': ( 'A_cols_vec_a_fun$' * 'A_cols_vec$' ) > 'A$' ).
tff(func_def_59,type,
'fun_app$r': ( 'Real_real_fun$' * $real ) > $real ).
tff(func_def_60,type,
'fun_app$i': ( 'A_a_rows_vec_fun$' * 'A$' ) > 'A_rows_vec$' ).
tff(func_def_61,type,
'interchange_rows_row$': ( 'A_rows_vec_rows_vec$' * 'Rows$' * 'Rows$' ) > 'Rows_a_rows_vec_fun$' ).
tff(func_def_62,type,
'vec_nth$b': ( 'A_rows_vec$' * 'Rows$' ) > 'A$' ).
tff(func_def_63,type,
'uua$': 'Real_real_bool_fun_fun$' ).
tff(func_def_64,type,
'vector_matrix_mult$': ( 'A_rows_vec$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec$' ).
tff(func_def_65,type,
'zero$d': 'Rows$' ).
tff(func_def_66,type,
'map_matrix$': ( 'A_a_fun$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_67,type,
'of_nat$b': 'Nat$' > 'A_rows_vec_rows_vec$' ).
tff(func_def_68,type,
'fun_app$u': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_69,type,
'mat$': 'A$' > 'A_rows_vec_rows_vec$' ).
tff(func_def_70,type,
'times$d': ( 'A_cols_vec_rows_vec$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_71,type,
'vec_nth$c': ( 'A_rows_vec_rows_vec_rows_vec$' * 'Rows$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_72,type,
'fun_app$l': ( 'Rows_a_rows_vec_bool_fun_fun$' * 'Rows$' ) > 'A_rows_vec_bool_fun$' ).
tff(func_def_73,type,
'interchange_rows_row$a': ( 'A_cols_vec_rows_vec$' * 'Rows$' * 'Rows$' ) > 'Rows_a_cols_vec_fun$' ).
tff(func_def_74,type,
'row$': ( 'Rows$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_75,type,
'transpose_row$c': ( 'A_cols_vec_rows_vec_rows_vec$' * 'Rows$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_76,type,
'one$d': 'A_cols_vec$' ).
tff(func_def_77,type,
'zero$e': 'A$' ).
tff(func_def_78,type,
'vec_nth$d': ( 'A_cols_vec_rows_vec_rows_vec$' * 'Rows$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_79,type,
'to_nat$': 'Rows$' > 'Nat$' ).
tff(func_def_80,type,
'zero$a': 'A_cols_vec$' ).
tff(func_def_81,type,
'one$b': 'A_rows_vec$' ).
tff(func_def_82,type,
'vec_nth$a': 'A_cols_vec_rows_vec$' > 'Rows_a_cols_vec_fun$' ).
tff(func_def_83,type,
'gauss_Jordan$a': 'A_cols_vec_rows_vec$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_84,type,
'gauss_Jordan$': 'A_rows_vec_rows_vec$' > 'A_rows_vec_rows_vec$' ).
tff(func_def_85,type,
'transpose_row$a': ( 'A_cols_vec_rows_vec$' * 'Cols$' ) > 'A_rows_vec$' ).
tff(func_def_86,type,
'i$': 'Rows$' ).
tff(func_def_87,type,
'gauss_Jordan_in_ij$a': ( 'A_cols_vec_rows_vec$' * 'Rows$' * 'Cols$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_88,type,
'uminus$a': 'A_rows_vec$' > 'A_rows_vec$' ).
tff(func_def_89,type,
'zero$b': 'A_rows_vec_rows_vec$' ).
tff(func_def_90,type,
tlfalse: tlbool ).
tff(func_def_91,type,
'vector_matrix_mult$a': ( 'A_rows_vec$' * 'A_rows_vec_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_92,type,
'nat$': $int > 'Nat$' ).
tff(func_def_93,type,
'gauss_Jordan_in_ij$': ( 'A_rows_vec_rows_vec$' * 'Rows$' * 'Rows$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_94,type,
'fun_app$f': ( 'A_a_fun$' * 'A$' ) > 'A$' ).
tff(func_def_95,type,
'row$a': ( 'Rows$' * 'A_cols_vec_rows_vec$' ) > 'A_cols_vec$' ).
tff(func_def_96,type,
'vec$a': 'A_cols_vec$' > 'A_cols_vec_rows_vec$' ).
tff(func_def_97,type,
'fun_app$c': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_98,type,
'zero$f': 'Cols$' ).
tff(func_def_99,type,
'times$c': ( 'A_rows_vec$' * 'A_rows_vec$' ) > 'A_rows_vec$' ).
tff(func_def_100,type,
'axis$a': ( 'Rows$' * 'A_cols_vec$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_101,type,
'transpose_row$b': ( 'A_rows_vec_rows_vec_rows_vec$' * 'Rows$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_102,type,
'zero$c': 'A_cols_vec_rows_vec$' ).
tff(func_def_103,type,
'map_matrix$b': ( 'A_cols_vec_a_fun$' * 'A_cols_vec_rows_vec_rows_vec$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_104,type,
'vec_nth$e': ( 'A_cols_vec$' * 'Cols$' ) > 'A$' ).
tff(func_def_105,type,
'axis$': ( 'Rows$' * 'A_rows_vec$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_106,type,
'times$': $real > 'Real_real_fun$' ).
tff(func_def_107,type,
'fun_app$g': ( 'A_rows_vec_a_fun$' * 'A_rows_vec$' ) > 'A$' ).
tff(func_def_108,type,
'mat_row$a': ( 'A_cols_vec$' * 'Rows$' ) > 'A_cols_vec_rows_vec$' ).
tff(func_def_109,type,
'times$a': $int > 'Int_int_fun$' ).
tff(func_def_110,type,
'rank$': 'A_cols_vec_rows_vec$' > 'Nat$' ).
tff(func_def_111,type,
'interchange_columns_row$': ( 'A_rows_vec_rows_vec$' * 'Rows$' * 'Rows$' ) > 'Rows_a_rows_vec_fun$' ).
tff(func_def_112,type,
'fun_app$o': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_113,type,
'mat_row$': ( 'A_rows_vec$' * 'Rows$' ) > 'A_rows_vec_rows_vec$' ).
tff(func_def_114,type,
'times$e': ( 'A_cols_vec$' * 'A_cols_vec$' ) > 'A_cols_vec$' ).
tff(func_def_123,type,
sK3: ( 'A_rows_vec_rows_vec$' * 'A_rows_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_124,type,
sK4: $int > $int ).
tff(func_def_125,type,
sK5: ( 'A_cols_vec_rows_vec$' * 'A_cols_vec_rows_vec$' ) > 'Rows$' ).
tff(func_def_126,type,
sK6: $int > $int ).
tff(func_def_127,type,
sF7: 'A_rows_vec_rows_vec$' ).
tff(func_def_128,type,
sF8: 'Rows_a_rows_vec_fun$' ).
tff(func_def_129,type,
sF9: 'A_rows_vec$' ).
tff(func_def_130,type,
sF10: 'A_cols_vec$' ).
tff(func_def_131,type,
sF11: 'A_cols_vec_rows_vec$' ).
tff(func_def_132,type,
sF12: 'Rows_a_cols_vec_fun$' ).
tff(func_def_133,type,
sF13: 'A_cols_vec$' ).
tff(pred_def_1,type,
'reduced_row_echelon_form$': 'A_rows_vec_rows_vec$' > $o ).
tff(pred_def_2,type,
'fun_app$k': ( 'A_rows_vec_bool_fun$' * 'A_rows_vec$' ) > $o ).
tff(pred_def_3,type,
'fun_app$m': ( 'A_cols_vec_bool_fun$' * 'A_cols_vec$' ) > $o ).
tff(pred_def_4,type,
'less_eq$': ( 'Rows$' * 'Rows$' ) > $o ).
tff(pred_def_5,type,
'fun_app$': ( 'Real_bool_fun$' * $real ) > $o ).
tff(pred_def_6,type,
'reduced_row_echelon_form$a': 'A_cols_vec_rows_vec$' > $o ).
tff(pred_def_7,type,
'less$': ( 'Rows$' * 'Rows$' ) > $o ).
tff(pred_def_8,type,
'fun_app$s': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_9,type,
'fun_app$b': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_14,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_15,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_16,type,
sP2: ( $int * $int * $int ) > $o ).
tff(f3,conjecture,
'vector_matrix_mult$'('fun_app$d'('vec_nth$'('p_Gauss_Jordan$'('a$')),'i$'),'a$') = 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'('p_Gauss_Jordan$'('a$'),'a$')),'i$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture2) ).
tff(f4,negated_conjecture,
( ( ~ 'vector_matrix_mult$'('fun_app$d'('vec_nth$'('p_Gauss_Jordan$'('a$')),'i$'),'a$') ) = 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'('p_Gauss_Jordan$'('a$'),'a$')),'i$') ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f9,axiom,
! [X1: 'Rows$',X2: 'A_cols_vec_rows_vec$',X0: 'A_rows_vec_rows_vec$'] : ( 'vector_matrix_mult$'('fun_app$d'('vec_nth$'(X0),X1),X2) = 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'(X0,X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
tff(f837,plain,
'vector_matrix_mult$'('fun_app$d'('vec_nth$'('p_Gauss_Jordan$'('a$')),'i$'),'a$') != 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'('p_Gauss_Jordan$'('a$'),'a$')),'i$'),
inference(flattening,[],[f4]) ).
tff(f838,plain,
! [X0: 'Rows$',X2: 'A_rows_vec_rows_vec$',X1: 'A_cols_vec_rows_vec$'] : ( 'vector_matrix_mult$'('fun_app$d'('vec_nth$'(X2),X0),X1) = 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'(X2,X1)),X0) ),
inference(rectify,[],[f9]) ).
tff(f1069,plain,
! [X0: 'Rows$',X1: 'A_rows_vec_rows_vec$',X2: 'A_cols_vec_rows_vec$'] : ( 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'(X1,X2)),X0) = 'vector_matrix_mult$'('fun_app$d'('vec_nth$'(X1),X0),X2) ),
inference(rectify,[],[f838]) ).
tff(f1222,plain,
'vector_matrix_mult$'('fun_app$d'('vec_nth$'('p_Gauss_Jordan$'('a$')),'i$'),'a$') != 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'('p_Gauss_Jordan$'('a$'),'a$')),'i$'),
inference(cnf_transformation,[],[f837]) ).
tff(f1232,plain,
! [X2: 'A_cols_vec_rows_vec$',X0: 'Rows$',X1: 'A_rows_vec_rows_vec$'] : ( 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'(X1,X2)),X0) = 'vector_matrix_mult$'('fun_app$d'('vec_nth$'(X1),X0),X2) ),
inference(cnf_transformation,[],[f1069]) ).
tff(f1357,definition,
sF7 = 'p_Gauss_Jordan$'('a$'),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f1358,plain,
'p_Gauss_Jordan$'('a$') = sF7,
inference(reorient_equations,[],[f1357]) ).
tff(f1359,definition,
sF8 = 'vec_nth$'(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f1360,definition,
sF9 = 'fun_app$d'(sF8,'i$'),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f1361,plain,
'fun_app$d'(sF8,'i$') = sF9,
inference(reorient_equations,[],[f1360]) ).
tff(f1362,definition,
sF10 = 'vector_matrix_mult$'(sF9,'a$'),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f1363,plain,
'vector_matrix_mult$'(sF9,'a$') = sF10,
inference(reorient_equations,[],[f1362]) ).
tff(f1364,definition,
sF11 = 'matrix_matrix_mult$'(sF7,'a$'),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f1365,plain,
'matrix_matrix_mult$'(sF7,'a$') = sF11,
inference(reorient_equations,[],[f1364]) ).
tff(f1366,definition,
sF12 = 'vec_nth$a'(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f1367,plain,
'vec_nth$a'(sF11) = sF12,
inference(reorient_equations,[],[f1366]) ).
tff(f1368,definition,
sF13 = 'fun_app$e'(sF12,'i$'),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
tff(f1369,plain,
'fun_app$e'(sF12,'i$') = sF13,
inference(reorient_equations,[],[f1368]) ).
tff(f1370,plain,
sF13 != sF10,
inference(definition_folding,[],[f1222,f1369,f1367,f1365,f1358,f1363,f1361,f1359,f1358]) ).
tff(f1593,plain,
! [X0: 'A_cols_vec_rows_vec$',X1: 'Rows$'] : ( 'vector_matrix_mult$'('fun_app$d'(sF8,X1),X0) = 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'(sF7,X0)),X1) ),
inference(superposition,[],[f1232,f1359]) ).
tff(f1792,plain,
! [X0: 'Rows$'] : ( 'vector_matrix_mult$'('fun_app$d'(sF8,X0),'a$') = 'fun_app$e'('vec_nth$a'(sF11),X0) ),
inference(superposition,[],[f1593,f1365]) ).
tff(f1795,plain,
! [X0: 'Rows$'] : ( 'vector_matrix_mult$'('fun_app$d'(sF8,X0),'a$') = 'fun_app$e'(sF12,X0) ),
inference(forward_demodulation,[],[f1792,f1367]) ).
tff(f1796,plain,
'fun_app$e'(sF12,'i$') = 'vector_matrix_mult$'(sF9,'a$'),
inference(superposition,[],[f1795,f1361]) ).
tff(f1797,plain,
'fun_app$e'(sF12,'i$') = sF10,
inference(forward_demodulation,[],[f1796,f1363]) ).
tff(f1798,plain,
sF13 = sF10,
inference(forward_demodulation,[],[f1797,f1369]) ).
tff(f1799,plain,
$false,
inference(forward_subsumption_resolution,[],[f1798,f1370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP335_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n015.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 12:58:00 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.47/1.83 % (1641408)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.47/1.83 % (1641419)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1835424907:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.47/1.83 % (1641419)Instruction limit reached!
% 5.47/1.83 % (1641419)------------------------------
% 5.47/1.83 % (1641419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.83 % (1641419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.83 % (1641419)CaDiCaL version: 2.1.3
% 5.47/1.83 % (1641419)Termination reason: Instruction limit
% 5.47/1.83 % (1641419)Termination phase: Saturation
% 5.47/1.83 % (1641419)Time elapsed: 0.041 s
% 5.47/1.83 % (1641419)Peak memory usage: 113 MB
% 5.47/1.83 % (1641419)Instructions burned: 46 (million)
% 5.47/1.83 % (1641415)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3052417977:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.47/1.83 % (1641414)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=698157570:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.47/1.83 % (1641414)Instruction limit reached!
% 5.47/1.83 % (1641414)------------------------------
% 5.47/1.83 % (1641414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.83 % (1641414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.83 % (1641414)CaDiCaL version: 2.1.3
% 5.47/1.83 % (1641414)Termination reason: Instruction limit
% 5.47/1.83 % (1641414)Termination phase: Property scanning
% 5.47/1.83 % (1641414)Time elapsed: 0.012 s
% 5.47/1.83 % (1641414)Peak memory usage: 85 MB
% 5.47/1.83 % (1641414)Instructions burned: 12 (million)
% 5.47/1.83 % (1641418)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1242138888:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.47/1.83 % (1641416)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4111187323:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.47/1.83 % (1641417)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3633309358:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.47/1.83 % (1641418)Instruction limit reached!
% 5.47/1.83 % (1641418)------------------------------
% 5.47/1.83 % (1641418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.83 % (1641418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.83 % (1641418)CaDiCaL version: 2.1.3
% 5.47/1.83 % (1641418)Termination reason: Instruction limit
% 5.47/1.83 % (1641418)Termination phase: Property scanning
% 5.47/1.83 % (1641418)Time elapsed: 0.005 s
% 5.47/1.83 % (1641418)Peak memory usage: 85 MB
% 5.47/1.83 % (1641418)Instructions burned: 5 (million)
% 5.47/1.83 % (1641417)Instruction limit reached!
% 5.47/1.83 % (1641417)------------------------------
% 5.47/1.83 % (1641417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.83 % (1641417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.83 % (1641417)CaDiCaL version: 2.1.3
% 5.47/1.83 % (1641417)Termination reason: Instruction limit
% 5.47/1.83 % (1641417)Termination phase: Including theory axioms
% 5.47/1.83 % (1641417)Time elapsed: 0.008 s
% 5.47/1.83 % (1641417)Peak memory usage: 86 MB
% 5.47/1.83 % (1641417)Instructions burned: 7 (million)
% 5.47/1.83 % (1641420)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1002471172:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.47/1.83 % (1641420)Instruction limit reached!
% 5.47/1.83 % (1641420)------------------------------
% 5.47/1.83 % (1641420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.83 % (1641420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.83 % (1641420)CaDiCaL version: 2.1.3
% 5.47/1.83 % (1641420)Termination reason: Instruction limit
% 5.47/1.83 % (1641420)Termination phase: Property scanning
% 5.47/1.83 % (1641420)Time elapsed: 0.034 s
% 5.47/1.83 % (1641420)Peak memory usage: 87 MB
% 5.47/1.83 % (1641420)Instructions burned: 34 (million)
% 5.47/1.83 % (1641424)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1385597894:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.47/1.83 % (1641424)Instruction limit reached!
% 5.47/1.83 % (1641424)------------------------------
% 8.10/2.09 % (1641424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.09 % (1641424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.09 % (1641424)CaDiCaL version: 2.1.3
% 8.10/2.09 % (1641424)Termination reason: Instruction limit
% 8.10/2.09 % (1641424)Termination phase: shuffling
% 8.10/2.09 % (1641424)Time elapsed: 0.008 s
% 8.10/2.09 % (1641424)Peak memory usage: 86 MB
% 8.10/2.09 % (1641424)Instructions burned: 15 (million)
% 8.10/2.09 % (1641416)Instruction limit reached!
% 8.10/2.09 % (1641416)------------------------------
% 8.10/2.09 % (1641416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.09 % (1641416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.09 % (1641416)CaDiCaL version: 2.1.3
% 8.10/2.09 % (1641416)Termination reason: Instruction limit
% 8.10/2.09 % (1641416)Termination phase: Saturation
% 8.10/2.09 % (1641416)Time elapsed: 0.221 s
% 8.10/2.09 % (1641416)Peak memory usage: 118 MB
% 8.10/2.09 % (1641416)Instructions burned: 202 (million)
% 8.10/2.09 % (1641432)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2556481701:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 8.10/2.09 % (1641425)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=4016489225:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 8.10/2.09 % (1641432)Instruction limit reached!
% 8.10/2.09 % (1641432)------------------------------
% 8.10/2.09 % (1641432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.09 % (1641432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.09 % (1641432)CaDiCaL version: 2.1.3
% 8.10/2.09 % (1641432)Termination reason: Instruction limit
% 8.10/2.09 % (1641432)Termination phase: Clausification
% 8.10/2.09 % (1641432)Time elapsed: 0.018 s
% 8.10/2.09 % (1641432)Peak memory usage: 88 MB
% 8.10/2.09 % (1641432)Instructions burned: 27 (million)
% 8.10/2.09 % (1641429)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1540846641:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 8.10/2.09 % (1641430)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=760058808:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 8.10/2.09 % (1641429)Instruction limit reached!
% 8.10/2.09 % (1641429)------------------------------
% 8.10/2.09 % (1641429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.09 % (1641429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.09 % (1641429)CaDiCaL version: 2.1.3
% 8.10/2.09 % (1641429)Termination reason: Instruction limit
% 8.10/2.09 % (1641429)Termination phase: Preprocessing 3
% 8.10/2.09 % (1641429)Time elapsed: 0.017 s
% 8.10/2.09 % (1641429)Peak memory usage: 87 MB
% 8.10/2.09 % (1641429)Instructions burned: 16 (million)
% 8.10/2.09 % (1641425)Instruction limit reached!
% 8.10/2.09 % (1641425)------------------------------
% 8.10/2.09 % (1641425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.09 % (1641425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.09 % (1641425)CaDiCaL version: 2.1.3
% 8.10/2.09 % (1641425)Termination reason: Instruction limit
% 8.10/2.09 % (1641425)Termination phase: Property scanning
% 8.10/2.09 % (1641425)Time elapsed: 0.030 s
% 8.10/2.09 % (1641425)Peak memory usage: 88 MB
% 8.10/2.09 % (1641425)Instructions burned: 30 (million)
% 8.10/2.09 % (1641430)Instruction limit reached!
% 8.10/2.09 % (1641430)------------------------------
% 8.10/2.09 % (1641430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.09 % (1641430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.09 % (1641430)CaDiCaL version: 2.1.3
% 8.10/2.09 % (1641430)Termination reason: Instruction limit
% 8.10/2.09 % (1641430)Termination phase: Preprocessing 3
% 8.10/2.09 % (1641430)Time elapsed: 0.025 s
% 8.10/2.09 % (1641430)Peak memory usage: 87 MB
% 8.10/2.09 % (1641430)Instructions burned: 24 (million)
% 8.10/2.09 % (1641415)Instruction limit reached!
% 8.10/2.09 % (1641415)------------------------------
% 8.10/2.09 % (1641415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.09 % (1641415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641415)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641415)Termination reason: Instruction limit
% 7.59/2.15 % (1641415)Termination phase: Saturation
% 7.59/2.15 % (1641415)Time elapsed: 0.364 s
% 7.59/2.15 % (1641415)Peak memory usage: 119 MB
% 7.59/2.15 % (1641415)Instructions burned: 307 (million)
% 7.59/2.15 % (1641434)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=45028458:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 7.59/2.15 % (1641442)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3473262319:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 7.59/2.15 % (1641440)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3065240315:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 7.59/2.15 % (1641436)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3941363459:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 7.59/2.15 % (1641436)Instruction limit reached!
% 7.59/2.15 % (1641436)------------------------------
% 7.59/2.15 % (1641436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641436)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641436)Termination reason: Instruction limit
% 7.59/2.15 % (1641436)Termination phase: shuffling
% 7.59/2.15 % (1641436)Time elapsed: 0.003 s
% 7.59/2.15 % (1641436)Peak memory usage: 85 MB
% 7.59/2.15 % (1641436)Instructions burned: 2 (million)
% 7.59/2.15 % (1641440)First to succeed.
% 7.59/2.15 % (1641440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1641408"
% 7.59/2.15 % (1641434)Instruction limit reached!
% 7.59/2.15 % (1641434)------------------------------
% 7.59/2.15 % (1641434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641434)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641434)Termination reason: Instruction limit
% 7.59/2.15 % (1641434)Termination phase: Saturation
% 7.59/2.15 % (1641434)Time elapsed: 0.080 s
% 7.59/2.15 % (1641434)Peak memory usage: 91 MB
% 7.59/2.15 % (1641434)Instructions burned: 85 (million)
% 7.59/2.15 % (1641442)Instruction limit reached!
% 7.59/2.15 % (1641442)------------------------------
% 7.59/2.15 % (1641442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641442)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641442)Termination reason: Instruction limit
% 7.59/2.15 % (1641442)Termination phase: Saturation
% 7.59/2.15 % (1641442)Time elapsed: 0.085 s
% 7.59/2.15 % (1641442)Peak memory usage: 131 MB
% 7.59/2.15 % (1641442)Instructions burned: 66 (million)
% 7.59/2.15 % (1641441)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2414177769:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 7.59/2.15 % (1641441)Instruction limit reached!
% 7.59/2.15 % (1641441)------------------------------
% 7.59/2.15 % (1641441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641441)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641441)Termination reason: Instruction limit
% 7.59/2.15 % (1641441)Termination phase: Property scanning
% 7.59/2.15 % (1641441)Time elapsed: 0.006 s
% 7.59/2.15 % (1641441)Peak memory usage: 85 MB
% 7.59/2.15 % (1641441)Instructions burned: 5 (million)
% 7.59/2.15 % (1641443)lrs+10_1_thi=all:si=on:fd=off:random_seed=3032983957:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 7.59/2.15 % (1641443)Instruction limit reached!
% 7.59/2.15 % (1641443)------------------------------
% 7.59/2.15 % (1641443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641443)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641443)Termination reason: Instruction limit
% 7.59/2.15 % (1641443)Termination phase: Property scanning
% 7.59/2.15 % (1641443)Time elapsed: 0.050 s
% 7.59/2.15 % (1641443)Peak memory usage: 88 MB
% 7.59/2.15 % (1641443)Instructions burned: 54 (million)
% 7.59/2.15 % (1641444)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1330790769:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 7.59/2.15 % (1641444)Instruction limit reached!
% 7.59/2.15 % (1641444)------------------------------
% 7.59/2.15 % (1641444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641444)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641444)Termination reason: Instruction limit
% 7.59/2.15 % (1641444)Termination phase: Property scanning
% 7.59/2.15 % (1641444)Time elapsed: 0.009 s
% 7.59/2.15 % (1641444)Peak memory usage: 86 MB
% 7.59/2.15 % (1641444)Instructions burned: 8 (million)
% 7.59/2.15 % (1641449)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=612876725:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 7.59/2.15 % (1641449)Instruction limit reached!
% 7.59/2.15 % (1641449)------------------------------
% 7.59/2.15 % (1641449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641449)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641449)Termination reason: Instruction limit
% 7.59/2.15 % (1641449)Termination phase: Property scanning
% 7.59/2.15 % (1641449)Time elapsed: 0.002 s
% 7.59/2.15 % (1641449)Peak memory usage: 86 MB
% 7.59/2.15 % (1641449)Instructions burned: 3 (million)
% 7.59/2.15 % (1641450)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3472589232:i=2:doe=on:canc=force:asg=cautious:rtra=on_2991 on theBenchmark for (2991ds/2Mi)
% 7.59/2.15 % (1641454)dis+10_1_si=on:random_seed=2814770178:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 7.59/2.15 % (1641452)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3017480672:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 7.59/2.15 % (1641450)Instruction limit reached!
% 7.59/2.15 % (1641450)------------------------------
% 7.59/2.15 % (1641450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641450)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641450)Termination reason: Instruction limit
% 7.59/2.15 % (1641450)Termination phase: Property scanning
% 7.59/2.15 % (1641450)Time elapsed: 0.004 s
% 7.59/2.15 % (1641450)Peak memory usage: 85 MB
% 7.59/2.15 % (1641450)Instructions burned: 2 (million)
% 7.59/2.15 % (1641454)Instruction limit reached!
% 7.59/2.15 % (1641454)------------------------------
% 7.59/2.15 % (1641454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641454)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641454)Termination reason: Instruction limit
% 7.59/2.15 % (1641454)Termination phase: Property scanning
% 7.59/2.15 % (1641454)Time elapsed: 0.010 s
% 7.59/2.15 % (1641454)Peak memory usage: 86 MB
% 7.59/2.15 % (1641454)Instructions burned: 10 (million)
% 7.59/2.15 % (1641455)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3460617433:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 7.59/2.15 % (1641455)Instruction limit reached!
% 7.59/2.15 % (1641455)------------------------------
% 7.59/2.15 % (1641455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641455)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641455)Termination reason: Instruction limit
% 7.59/2.15 % (1641455)Termination phase: Preprocessing 3
% 7.59/2.15 % (1641455)Time elapsed: 0.027 s
% 7.59/2.15 % (1641455)Peak memory usage: 87 MB
% 7.59/2.15 % (1641455)Instructions burned: 26 (million)
% 7.59/2.15 % (1641459)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1194696925:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 7.59/2.15 % (1641459)Instruction limit reached!
% 7.59/2.15 % (1641459)------------------------------
% 7.59/2.15 % (1641459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641459)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641459)Termination reason: Instruction limit
% 7.59/2.15 % (1641459)Termination phase: Property scanning
% 7.59/2.15 % (1641459)Time elapsed: 0.002 s
% 7.59/2.15 % (1641459)Peak memory usage: 85 MB
% 7.59/2.15 % (1641459)Instructions burned: 3 (million)
% 7.59/2.15 % (1641457)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=4243336989:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 7.59/2.15 % (1641452)Also succeeded, but the first one will report.
% 7.59/2.15 % (1641457)Instruction limit reached!
% 7.59/2.15 % (1641457)------------------------------
% 7.59/2.15 % (1641457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/2.15 % (1641457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/2.15 % (1641457)CaDiCaL version: 2.1.3
% 7.59/2.15 % (1641457)Termination reason: Instruction limit
% 7.59/2.15 % (1641457)Termination phase: Property scanning
% 7.59/2.15 % (1641457)Time elapsed: 0.034 s
% 7.59/2.15 % (1641457)Peak memory usage: 88 MB
% 7.59/2.15 % (1641457)Instructions burned: 35 (million)
% 7.59/2.15 % (1641440)Refutation found. Thanks to Tanya!
% 7.59/2.15 % SZS status Theorem for theBenchmark
% 7.59/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 9.19/2.40 % (1641440)------------------------------
% 9.19/2.40 % (1641440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.40 % (1641440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.40 % (1641440)CaDiCaL version: 2.1.3
% 9.19/2.40 % (1641440)Termination reason: Refutation
% 9.19/2.40 % (1641440)Time elapsed: 0.041 s
% 9.19/2.40 % (1641440)Peak memory usage: 90 MB
% 9.19/2.40 % (1641440)Instructions burned: 37 (million)
% 9.19/2.40 % (1641440)------------------------------
% 9.19/2.40 % (1641440)------------------------------
% 9.19/2.40 % (1641408)Success in time 1.22 s
% 9.19/2.40 % Vampire exiting
%------------------------------------------------------------------------------