TSTP Solution File: ITP332_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:27:14 EDT 2022
% Result : Theorem 2.59s 0.78s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 159
% Syntax : Number of formulae : 197 ( 14 unt; 149 typ; 0 def)
% Number of atoms : 118 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 120 ( 50 ~; 43 |; 18 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 23 ( 20 usr; 2 ari)
% Number of type conns : 215 ( 116 >; 99 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 6 prp; 0-2 aty)
% Number of functors : 113 ( 113 usr; 13 con; 0-4 aty)
% Number of variables : 59 ( 47 !; 12 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_m_vec_m_vec$': $tType ).
tff(type_def_6,type,
'M$': $tType ).
tff(type_def_7,type,
'A_n_vec_set$': $tType ).
tff(type_def_8,type,
'Int_set$': $tType ).
tff(type_def_9,type,
'Int_int_fun$': $tType ).
tff(type_def_10,type,
'A_n_vec_n_vec$': $tType ).
tff(type_def_11,type,
'A_n_vec_m_vec$': $tType ).
tff(type_def_12,type,
'Nat_nat_fun$': $tType ).
tff(type_def_13,type,
'A_m_vec$': $tType ).
tff(type_def_14,type,
'Nat$': $tType ).
tff(type_def_15,type,
'N$': $tType ).
tff(type_def_16,type,
tlbool: $tType ).
tff(type_def_17,type,
'Real_real_fun$': $tType ).
tff(type_def_18,type,
'A_m_vec_n_vec$': $tType ).
tff(type_def_19,type,
'A$': $tType ).
tff(type_def_20,type,
'A_n_vec$': $tType ).
tff(type_def_21,type,
'Nat_bool_fun$': $tType ).
tff(type_def_22,type,
'Real_bool_fun$': $tType ).
tff(type_def_23,type,
'Real_set$': $tType ).
tff(type_def_24,type,
'Nat_set$': $tType ).
tff(func_def_0,type,
'interchange_rows$a': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_1,type,
'zero$f': 'A_n_vec$' ).
tff(func_def_2,type,
'column_add$b': ( 'A_n_vec_m_vec$' * 'N$' * 'N$' * 'A$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_3,type,
'matrix_vector_mult$b': ( 'A_m_vec_m_vec$' * 'A_m_vec$' ) > 'A_m_vec$' ).
tff(func_def_4,type,
'matrix_matrix_mult$c': ( 'A_n_vec_m_vec$' * 'A_m_vec_n_vec$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_5,type,
'mat$': 'A$' > 'A_n_vec_n_vec$' ).
tff(func_def_6,type,
'interchange_columns$': ( 'A_m_vec_m_vec$' * 'M$' * 'M$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_7,type,
'column$a': ( 'N$' * 'A_n_vec_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_8,type,
'interchange_rows$b': ( 'A_n_vec_m_vec$' * 'M$' * 'M$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_9,type,
'mult_column$': ( 'A_m_vec_m_vec$' * 'M$' * 'A$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_10,type,
'norm$': $real > $real ).
tff(func_def_11,type,
'mult_column$b': ( 'A_n_vec_m_vec$' * 'N$' * 'A$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_12,type,
'zero$a': 'A_n_vec_m_vec$' ).
tff(func_def_13,type,
'matrix_vector_mult$a': ( 'A_n_vec_n_vec$' * 'A_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_14,type,
'times$c': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_15,type,
'zero$b': 'A_m_vec_m_vec$' ).
tff(func_def_16,type,
'column_add$': ( 'A_m_vec_m_vec$' * 'M$' * 'M$' * 'A$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_17,type,
'matrix_matrix_mult$d': ( 'A_m_vec_n_vec$' * 'A_m_vec_m_vec$' ) > 'A_m_vec_n_vec$' ).
tff(func_def_18,type,
'b$': 'A_n_vec_m_vec$' ).
tff(func_def_19,type,
'null_space$': 'A_n_vec_m_vec$' > 'A_n_vec_set$' ).
tff(func_def_20,type,
'less_eq$': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_21,type,
'arcosh$': $real > $real ).
tff(func_def_22,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_23,type,
'times$': ( 'A$' * 'A$' ) > 'A$' ).
tff(func_def_24,type,
'mat$a': 'A$' > 'A_m_vec_m_vec$' ).
tff(func_def_25,type,
'matrix_matrix_mult$b': ( 'A_m_vec_m_vec$' * 'A_m_vec_m_vec$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_26,type,
'vector_matrix_mult$b': ( 'A_m_vec$' * 'A_m_vec_m_vec$' ) > 'A_m_vec$' ).
tff(func_def_27,type,
'one$': 'A$' ).
tff(func_def_28,type,
'dbl_inc$': $int > $int ).
tff(func_def_29,type,
'divide$': $real > 'Real_real_fun$' ).
tff(func_def_30,type,
tltrue: tlbool ).
tff(func_def_31,type,
'row_add$a': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_32,type,
'null_space$a': 'A_n_vec_n_vec$' > 'A_n_vec_set$' ).
tff(func_def_33,type,
'matrix_matrix_mult$f': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_34,type,
'mult_column$a': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_35,type,
'artanh$': $real > $real ).
tff(func_def_36,type,
'powr$': ( $real * $real ) > $real ).
tff(func_def_37,type,
'row_add$b': ( 'A_n_vec_m_vec$' * 'M$' * 'M$' * 'A$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_38,type,
'one$a': 'Nat$' ).
tff(func_def_39,type,
'times$d': ( 'Int_set$' * 'Int_set$' ) > 'Int_set$' ).
tff(func_def_40,type,
'transpose$c': 'A_n_vec_m_vec$' > 'A_m_vec_n_vec$' ).
tff(func_def_41,type,
'times$e': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_42,type,
'times$a': ( $real * $real ) > $real ).
tff(func_def_43,type,
'times$b': ( $int * $int ) > $int ).
tff(func_def_44,type,
'column$': ( 'N$' * 'A_n_vec_m_vec$' ) > 'A_m_vec$' ).
tff(func_def_45,type,
'mult_row$b': ( 'A_n_vec_m_vec$' * 'M$' * 'A$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_46,type,
'divide$a': $int > 'Int_int_fun$' ).
tff(func_def_47,type,
'transpose$': 'A_m_vec_n_vec$' > 'A_n_vec_m_vec$' ).
tff(func_def_48,type,
'matrix_inv$b': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_49,type,
'row_add$': ( 'A_m_vec_m_vec$' * 'M$' * 'M$' * 'A$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_50,type,
'less$': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_51,type,
'matrix_matrix_mult$e': ( 'A_n_vec_n_vec$' * 'A_m_vec_n_vec$' ) > 'A_m_vec_n_vec$' ).
tff(func_def_52,type,
'plus$': ( 'Real_set$' * 'Real_set$' ) > 'Real_set$' ).
tff(func_def_53,type,
'zero$': 'A_n_vec_n_vec$' ).
tff(func_def_54,type,
'matrix_matrix_mult$a': ( 'A_m_vec_m_vec$' * 'A_n_vec_m_vec$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_55,type,
'interchange_rows$': ( 'A_m_vec_m_vec$' * 'M$' * 'M$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_56,type,
'fun_app$': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_57,type,
'column_add$a': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_58,type,
'interchange_columns$b': ( 'A_n_vec_m_vec$' * 'N$' * 'N$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_59,type,
'exp$': $real > $real ).
tff(func_def_60,type,
'transpose$b': 'A_m_vec_m_vec$' > 'A_m_vec_m_vec$' ).
tff(func_def_61,type,
'zero$c': 'A$' ).
tff(func_def_62,type,
'fun_app$d': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_63,type,
tlfalse: tlbool ).
tff(func_def_64,type,
'nat$': $int > 'Nat$' ).
tff(func_def_65,type,
'arsinh$': $real > $real ).
tff(func_def_66,type,
'mult_row$a': ( 'A_n_vec_n_vec$' * 'N$' * 'A$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_67,type,
'vector_matrix_mult$': ( 'A_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec$' ).
tff(func_def_68,type,
'interchange_columns$a': ( 'A_n_vec_n_vec$' * 'N$' * 'N$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_69,type,
'fun_app$c': ( 'Real_real_fun$' * $real ) > $real ).
tff(func_def_70,type,
'times$f': ( 'Real_set$' * 'Real_set$' ) > 'Real_set$' ).
tff(func_def_71,type,
'matrix_inv$a': 'A_m_vec_n_vec$' > 'A_n_vec_m_vec$' ).
tff(func_def_72,type,
'orthogonal$': $real > 'Real_bool_fun$' ).
tff(func_def_73,type,
'columnvector$a': 'A_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_74,type,
'mult_row$': ( 'A_m_vec_m_vec$' * 'M$' * 'A$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_75,type,
'transpose$a': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_76,type,
'matrix_vector_mult$': ( 'A_n_vec_m_vec$' * 'A_n_vec$' ) > 'A_m_vec$' ).
tff(func_def_77,type,
'a$': 'A_n_vec_m_vec$' ).
tff(func_def_78,type,
'matrix_matrix_mult$g': ( 'A_m_vec_n_vec$' * 'A_n_vec_m_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_79,type,
'zero$d': 'Nat$' ).
tff(func_def_80,type,
'zero$e': 'A_m_vec$' ).
tff(func_def_81,type,
'matrix_matrix_mult$': ( 'A_n_vec_m_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_m_vec$' ).
tff(func_def_82,type,
'vector_matrix_mult$a': ( 'A_m_vec$' * 'A_n_vec_m_vec$' ) > 'A_n_vec$' ).
tff(func_def_83,type,
'columnvector$': 'A_m_vec$' > 'A_n_vec_m_vec$' ).
tff(func_def_84,type,
'ln$': $real > $real ).
tff(func_def_85,type,
'divide$b': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_86,type,
'matrix_inv$': 'A_m_vec_m_vec$' > 'A_m_vec_m_vec$' ).
tff(func_def_87,type,
'dbl_inc$a': $real > $real ).
tff(func_def_98,type,
sK0: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_99,type,
sK1: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_100,type,
sK2: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_101,type,
sK3: 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_102,type,
sK4: ( 'Real_set$' * $real * 'Real_set$' ) > $real ).
tff(func_def_103,type,
sK5: ( 'Real_set$' * $real * 'Real_set$' ) > $real ).
tff(func_def_104,type,
sK6: 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_105,type,
sK7: ( 'A_n_vec_m_vec$' * 'A_n_vec_m_vec$' ) > 'A_m_vec_m_vec$' ).
tff(func_def_106,type,
sK8: ( 'A_n_vec_m_vec$' * 'A_n_vec_m_vec$' ) > 'A_n_vec_n_vec$' ).
tff(func_def_107,type,
sK9: ( 'Int_set$' * 'Int_set$' * $int ) > $int ).
tff(func_def_108,type,
sK10: ( 'Int_set$' * 'Int_set$' * $int ) > $int ).
tff(func_def_109,type,
sK11: 'A_m_vec_m_vec$' > 'A_m_vec_m_vec$' ).
tff(func_def_110,type,
sK12: ( $real * $real ) > $real ).
tff(func_def_111,type,
sK13: 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(func_def_112,type,
sK14: 'A_m_vec_m_vec$' > 'A_m_vec_m_vec$' ).
tff(func_def_113,type,
sK15: 'A_m_vec_m_vec$' > 'A_m_vec_m_vec$' ).
tff(func_def_114,type,
sK16: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_115,type,
sK17: $real > $real ).
tff(func_def_116,type,
sK18: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_117,type,
sK19: ( $real * $real ) > $real ).
tff(func_def_118,type,
sK20: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_119,type,
sK21: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_120,type,
sK22: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_121,type,
sK23: ( 'Nat_set$' * 'Nat_set$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_122,type,
sK24: ( 'Nat_set$' * 'Nat_set$' * 'Nat$' ) > 'Nat$' ).
tff(pred_def_1,type,
'equivalent_matrices$c': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > $o ).
tff(pred_def_2,type,
'equivalent_matrices$a': ( 'A_m_vec_n_vec$' * 'A_m_vec_m_vec$' ) > $o ).
tff(pred_def_3,type,
'member$b': ( $real * 'Real_set$' ) > $o ).
tff(pred_def_4,type,
'member$a': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_5,type,
'invertible$a': 'A_n_vec_n_vec$' > $o ).
tff(pred_def_6,type,
'equivalent_matrices$f': ( 'A_m_vec_m_vec$' * 'A_n_vec_m_vec$' ) > $o ).
tff(pred_def_7,type,
'fun_app$b': ( 'Real_bool_fun$' * $real ) > $o ).
tff(pred_def_9,type,
'equivalent_matrices$e': ( 'A_n_vec_n_vec$' * 'A_n_vec_m_vec$' ) > $o ).
tff(pred_def_10,type,
'invertible$c': 'A_n_vec_m_vec$' > $o ).
tff(pred_def_11,type,
'equivalent_matrices$b': ( 'A_m_vec_n_vec$' * 'A_m_vec_n_vec$' ) > $o ).
tff(pred_def_12,type,
'fun_app$a': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_13,type,
'equivalent_matrices$d': ( 'A_m_vec_m_vec$' * 'A_m_vec_m_vec$' ) > $o ).
tff(pred_def_14,type,
'equivalent_matrices$': ( 'A_n_vec_m_vec$' * 'A_n_vec_m_vec$' ) > $o ).
tff(pred_def_15,type,
'invertible$': 'A_m_vec_m_vec$' > $o ).
tff(pred_def_16,type,
'member$': ( $int * 'Int_set$' ) > $o ).
tff(pred_def_17,type,
'invertible$b': 'A_m_vec_n_vec$' > $o ).
tff(f3934,plain,
$false,
inference(avatar_sat_refutation,[],[f3653,f3673,f3852,f3857,f3933]) ).
tff(f3933,plain,
spl25_16,
inference(avatar_contradiction_clause,[],[f3932]) ).
tff(f3932,plain,
( $false
| spl25_16 ),
inference(resolution,[],[f3931,f2502]) ).
tff(f2502,plain,
'equivalent_matrices$'('a$','b$'),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
'equivalent_matrices$'('a$','b$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2) ).
tff(f3931,plain,
( ~ 'equivalent_matrices$'('a$','b$')
| spl25_16 ),
inference(resolution,[],[f3851,f2815]) ).
tff(f2815,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( 'invertible$'(sK7(X0,X1))
| ~ 'equivalent_matrices$'(X0,X1) ),
inference(cnf_transformation,[],[f2011]) ).
tff(f2011,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( ~ 'equivalent_matrices$'(X0,X1)
| ( 'invertible$a'(sK8(X0,X1))
& 'invertible$'(sK7(X0,X1))
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(sK7(X0,X1)),X0),sK8(X0,X1)) = X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f2009,f2010]) ).
tff(f2010,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( ? [X2: 'A_m_vec_m_vec$',X3: 'A_n_vec_n_vec$'] :
( 'invertible$a'(X3)
& 'invertible$'(X2)
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X2),X0),X3) = X1 ) )
=> ( 'invertible$a'(sK8(X0,X1))
& 'invertible$'(sK7(X0,X1))
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(sK7(X0,X1)),X0),sK8(X0,X1)) = X1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f2009,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( ~ 'equivalent_matrices$'(X0,X1)
| ? [X2: 'A_m_vec_m_vec$',X3: 'A_n_vec_n_vec$'] :
( 'invertible$a'(X3)
& 'invertible$'(X2)
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X2),X0),X3) = X1 ) ) ),
inference(rectify,[],[f1489]) ).
tff(f1489,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( ~ 'equivalent_matrices$'(X0,X1)
| ? [X3: 'A_m_vec_m_vec$',X2: 'A_n_vec_n_vec$'] :
( 'invertible$a'(X2)
& 'invertible$'(X3)
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X3),X0),X2) = X1 ) ) ),
inference(ennf_transformation,[],[f1227]) ).
tff(f1227,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( 'equivalent_matrices$'(X0,X1)
=> ? [X3: 'A_m_vec_m_vec$',X2: 'A_n_vec_n_vec$'] :
( 'invertible$a'(X2)
& 'invertible$'(X3)
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X3),X0),X2) = X1 ) ) ),
inference(unused_predicate_definition_removal,[],[f906]) ).
tff(f906,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( 'equivalent_matrices$'(X0,X1)
<=> ? [X3: 'A_m_vec_m_vec$',X2: 'A_n_vec_n_vec$'] :
( 'invertible$a'(X2)
& 'invertible$'(X3)
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X3),X0),X2) = X1 ) ) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( ? [X3: 'A_n_vec_n_vec$',X2: 'A_m_vec_m_vec$'] :
( 'invertible$a'(X3)
& 'invertible$'(X2)
& ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X2),X0),X3) = X1 ) )
<=> 'equivalent_matrices$'(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom8) ).
tff(f3851,plain,
( ~ 'invertible$'(sK7('a$','b$'))
| spl25_16 ),
inference(avatar_component_clause,[],[f3849]) ).
tff(f3849,plain,
( spl25_16
<=> 'invertible$'(sK7('a$','b$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).
tff(f3857,plain,
spl25_15,
inference(avatar_contradiction_clause,[],[f3856]) ).
tff(f3856,plain,
( $false
| spl25_15 ),
inference(resolution,[],[f3855,f2502]) ).
tff(f3855,plain,
( ~ 'equivalent_matrices$'('a$','b$')
| spl25_15 ),
inference(resolution,[],[f3847,f2816]) ).
tff(f2816,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( 'invertible$a'(sK8(X0,X1))
| ~ 'equivalent_matrices$'(X0,X1) ),
inference(cnf_transformation,[],[f2011]) ).
tff(f3847,plain,
( ~ 'invertible$a'(sK8('a$','b$'))
| spl25_15 ),
inference(avatar_component_clause,[],[f3845]) ).
tff(f3845,plain,
( spl25_15
<=> 'invertible$a'(sK8('a$','b$')) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
tff(f3852,plain,
( ~ spl25_15
| ~ spl25_16
| ~ spl25_7 ),
inference(avatar_split_clause,[],[f3843,f3651,f3849,f3845]) ).
tff(f3651,plain,
( spl25_7
<=> ! [X0: 'A_n_vec_n_vec$',X1: 'A_m_vec_m_vec$'] :
( ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X1),'a$'),X0) )
| ~ 'invertible$a'(X0)
| ~ 'invertible$'(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
tff(f3843,plain,
( ~ 'invertible$'(sK7('a$','b$'))
| ~ 'invertible$a'(sK8('a$','b$'))
| ~ spl25_7 ),
inference(trivial_inequality_removal,[],[f3841]) ).
tff(f3841,plain,
( ~ 'invertible$'(sK7('a$','b$'))
| ~ 'invertible$a'(sK8('a$','b$'))
| ( 'b$' != 'b$' )
| ~ spl25_7 ),
inference(superposition,[],[f3674,f3707]) ).
tff(f3707,plain,
'b$' = 'matrix_matrix_mult$a'('matrix_inv$'(sK7('a$','b$')),'matrix_matrix_mult$'('a$',sK8('a$','b$'))),
inference(resolution,[],[f3670,f2502]) ).
tff(f3670,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( ~ 'equivalent_matrices$'(X0,X1)
| ( 'matrix_matrix_mult$a'('matrix_inv$'(sK7(X0,X1)),'matrix_matrix_mult$'(X0,sK8(X0,X1))) = X1 ) ),
inference(backward_demodulation,[],[f2814,f2689]) ).
tff(f2689,plain,
! [X2: 'A_n_vec_m_vec$',X0: 'A_m_vec_m_vec$',X1: 'A_n_vec_n_vec$'] : ( 'matrix_matrix_mult$a'(X0,'matrix_matrix_mult$'(X2,X1)) = 'matrix_matrix_mult$'('matrix_matrix_mult$a'(X0,X2),X1) ),
inference(cnf_transformation,[],[f956]) ).
tff(f956,plain,
! [X0: 'A_m_vec_m_vec$',X1: 'A_n_vec_n_vec$',X2: 'A_n_vec_m_vec$'] : ( 'matrix_matrix_mult$a'(X0,'matrix_matrix_mult$'(X2,X1)) = 'matrix_matrix_mult$'('matrix_matrix_mult$a'(X0,X2),X1) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X0: 'A_m_vec_m_vec$',X2: 'A_n_vec_n_vec$',X1: 'A_n_vec_m_vec$'] : ( 'matrix_matrix_mult$a'(X0,'matrix_matrix_mult$'(X1,X2)) = 'matrix_matrix_mult$'('matrix_matrix_mult$a'(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom16) ).
tff(f2814,plain,
! [X0: 'A_n_vec_m_vec$',X1: 'A_n_vec_m_vec$'] :
( ( 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(sK7(X0,X1)),X0),sK8(X0,X1)) = X1 )
| ~ 'equivalent_matrices$'(X0,X1) ),
inference(cnf_transformation,[],[f2011]) ).
tff(f3674,plain,
( ! [X0: 'A_n_vec_n_vec$',X1: 'A_m_vec_m_vec$'] :
( ( 'b$' != 'matrix_matrix_mult$a'('matrix_inv$'(X1),'matrix_matrix_mult$'('a$',X0)) )
| ~ 'invertible$a'(X0)
| ~ 'invertible$'(X1) )
| ~ spl25_7 ),
inference(forward_demodulation,[],[f3652,f2689]) ).
tff(f3652,plain,
( ! [X0: 'A_n_vec_n_vec$',X1: 'A_m_vec_m_vec$'] :
( ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X1),'a$'),X0) )
| ~ 'invertible$'(X1)
| ~ 'invertible$a'(X0) )
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f3651]) ).
tff(f3673,plain,
~ spl25_6,
inference(avatar_contradiction_clause,[],[f3672]) ).
tff(f3672,plain,
( $false
| ~ spl25_6 ),
inference(resolution,[],[f3649,f2529]) ).
tff(f2529,plain,
~ 'thesis$',
inference(cnf_transformation,[],[f1079]) ).
tff(f1079,plain,
~ 'thesis$',
inference(flattening,[],[f2]) ).
tff(f2,negated_conjecture,
~ 'thesis$',
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
'thesis$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture0) ).
tff(f3649,plain,
( 'thesis$'
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f3647]) ).
tff(f3647,plain,
( spl25_6
<=> 'thesis$' ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
tff(f3653,plain,
( spl25_6
| spl25_7 ),
inference(avatar_split_clause,[],[f2523,f3651,f3647]) ).
tff(f2523,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'A_m_vec_m_vec$'] :
( ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X1),'a$'),X0) )
| ~ 'invertible$'(X1)
| 'thesis$'
| ~ 'invertible$a'(X0) ),
inference(cnf_transformation,[],[f1824]) ).
tff(f1824,plain,
! [X0: 'A_n_vec_n_vec$',X1: 'A_m_vec_m_vec$'] :
( ~ 'invertible$a'(X0)
| 'thesis$'
| ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X1),'a$'),X0) )
| ~ 'invertible$'(X1) ),
inference(rectify,[],[f1645]) ).
tff(f1645,plain,
! [X1: 'A_n_vec_n_vec$',X0: 'A_m_vec_m_vec$'] :
( ~ 'invertible$a'(X1)
| 'thesis$'
| ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X0),'a$'),X1) )
| ~ 'invertible$'(X0) ),
inference(flattening,[],[f1644]) ).
tff(f1644,plain,
! [X1: 'A_n_vec_n_vec$',X0: 'A_m_vec_m_vec$'] :
( 'thesis$'
| ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X0),'a$'),X1) )
| ~ 'invertible$'(X0)
| ~ 'invertible$a'(X1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X1: 'A_n_vec_n_vec$',X0: 'A_m_vec_m_vec$'] :
( ( ( 'b$' = 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X0),'a$'),X1) )
& 'invertible$'(X0)
& 'invertible$a'(X1) )
=> 'thesis$' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:17:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (10521)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (10545)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (10522)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (10535)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (10547)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 % (10526)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (10529)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (10523)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (10520)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.56 % (10530)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.56 % (10531)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.31/0.56 % (10526)Instruction limit reached!
% 1.31/0.56 % (10526)------------------------------
% 1.31/0.56 % (10526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56 % (10526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.56 % (10526)Termination reason: Unknown
% 1.31/0.56 % (10526)Termination phase: Property scanning
% 1.31/0.56
% 1.31/0.56 % (10526)Memory used [KB]: 1535
% 1.31/0.56 % (10526)Time elapsed: 0.008 s
% 1.31/0.56 % (10526)Instructions burned: 7 (million)
% 1.31/0.56 % (10526)------------------------------
% 1.31/0.56 % (10526)------------------------------
% 1.31/0.56 % (10548)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.31/0.57 % (10538)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.57 % (10532)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.57 % (10534)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.44/0.57 % (10525)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.58 % (10519)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.44/0.58 % (10524)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.44/0.58 % (10536)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.58 % (10544)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.58 % (10540)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.44/0.58 % (10542)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.44/0.59 % (10527)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.59 % (10528)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.59 % (10527)Instruction limit reached!
% 1.44/0.59 % (10527)------------------------------
% 1.44/0.59 % (10527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59 % (10527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59 % (10527)Termination reason: Unknown
% 1.44/0.59 % (10527)Termination phase: shuffling
% 1.44/0.59
% 1.44/0.59 % (10527)Memory used [KB]: 1407
% 1.44/0.59 % (10527)Time elapsed: 0.002 s
% 1.44/0.59 % (10527)Instructions burned: 2 (million)
% 1.44/0.59 % (10527)------------------------------
% 1.44/0.59 % (10527)------------------------------
% 1.44/0.59 % (10549)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.59 % (10550)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.44/0.59 % (10537)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.59 % (10539)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.60 % (10543)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.44/0.60 % (10541)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.60 % (10521)Instruction limit reached!
% 1.44/0.60 % (10521)------------------------------
% 1.44/0.60 % (10521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.60 % (10522)Instruction limit reached!
% 1.44/0.60 % (10522)------------------------------
% 1.44/0.60 % (10522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61 % (10521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.61 % (10521)Termination reason: Unknown
% 1.44/0.61 % (10521)Termination phase: Preprocessing 3
% 1.44/0.61
% 1.44/0.61 % (10521)Memory used [KB]: 2174
% 1.44/0.61 % (10521)Time elapsed: 0.021 s
% 1.44/0.61 % (10521)Instructions burned: 39 (million)
% 1.44/0.61 % (10521)------------------------------
% 1.44/0.61 % (10521)------------------------------
% 1.44/0.61 % (10529)Instruction limit reached!
% 1.44/0.61 % (10529)------------------------------
% 1.44/0.61 % (10529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61 % (10529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.61 % (10529)Termination reason: Unknown
% 1.44/0.61 % (10529)Termination phase: Function definition elimination
% 1.44/0.61
% 1.44/0.61 % (10529)Memory used [KB]: 2558
% 1.44/0.61 % (10529)Time elapsed: 0.024 s
% 1.44/0.61 % (10529)Instructions burned: 51 (million)
% 1.44/0.61 % (10529)------------------------------
% 1.44/0.61 % (10529)------------------------------
% 1.44/0.62 % (10520)Instruction limit reached!
% 1.44/0.62 % (10520)------------------------------
% 1.44/0.62 % (10520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.62 % (10520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62 % (10520)Termination reason: Unknown
% 1.44/0.62 % (10520)Termination phase: Function definition elimination
% 1.44/0.62
% 1.44/0.62 % (10520)Memory used [KB]: 2558
% 1.44/0.62 % (10520)Time elapsed: 0.032 s
% 1.44/0.62 % (10520)Instructions burned: 50 (million)
% 1.44/0.62 % (10520)------------------------------
% 1.44/0.62 % (10520)------------------------------
% 1.44/0.62 % (10522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62 % (10522)Termination reason: Unknown
% 1.44/0.62 % (10522)Termination phase: shuffling
% 1.44/0.62
% 1.44/0.62 % (10522)Memory used [KB]: 2430
% 1.44/0.62 % (10522)Time elapsed: 0.027 s
% 1.44/0.62 % (10522)Instructions burned: 52 (million)
% 1.44/0.62 % (10522)------------------------------
% 1.44/0.62 % (10522)------------------------------
% 1.44/0.62 % (10523)Instruction limit reached!
% 1.44/0.62 % (10523)------------------------------
% 1.44/0.62 % (10523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.63 % (10535)Instruction limit reached!
% 1.90/0.63 % (10535)------------------------------
% 1.90/0.63 % (10535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.64 % (10525)Instruction limit reached!
% 1.90/0.64 % (10525)------------------------------
% 1.90/0.64 % (10525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.64 % (10523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.64 % (10523)Termination reason: Unknown
% 1.90/0.64 % (10523)Termination phase: Property scanning
% 1.90/0.64
% 1.90/0.64 % (10523)Memory used [KB]: 2558
% 1.90/0.64 % (10523)Time elapsed: 0.024 s
% 1.90/0.64 % (10523)Instructions burned: 51 (million)
% 1.90/0.64 % (10523)------------------------------
% 1.90/0.64 % (10523)------------------------------
% 1.90/0.64 % (10525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.64 % (10525)Termination reason: Unknown
% 1.90/0.64 % (10525)Termination phase: Function definition elimination
% 1.90/0.64
% 1.90/0.64 % (10525)Memory used [KB]: 2686
% 1.90/0.64 % (10525)Time elapsed: 0.025 s
% 1.90/0.64 % (10525)Instructions burned: 53 (million)
% 1.90/0.64 % (10525)------------------------------
% 1.90/0.64 % (10525)------------------------------
% 1.90/0.64 % (10547)Instruction limit reached!
% 1.90/0.64 % (10547)------------------------------
% 1.90/0.64 % (10547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.65 % (10535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.65 % (10535)Termination reason: Unknown
% 1.90/0.65 % (10535)Termination phase: Saturation
% 1.90/0.65
% 1.90/0.65 % (10535)Memory used [KB]: 2942
% 1.90/0.65 % (10535)Time elapsed: 0.047 s
% 1.90/0.65 % (10528)Instruction limit reached!
% 1.90/0.65 % (10528)------------------------------
% 1.90/0.65 % (10528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.65 % (10535)Instructions burned: 76 (million)
% 1.90/0.65 % (10535)------------------------------
% 1.90/0.65 % (10535)------------------------------
% 1.90/0.65 % (10547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.65 % (10547)Termination reason: Unknown
% 1.90/0.65 % (10547)Termination phase: Saturation
% 1.90/0.65
% 1.90/0.65 % (10547)Memory used [KB]: 7675
% 1.90/0.65 % (10547)Time elapsed: 0.030 s
% 1.90/0.65 % (10547)Instructions burned: 68 (million)
% 1.90/0.65 % (10547)------------------------------
% 1.90/0.65 % (10547)------------------------------
% 2.11/0.66 % (10524)Instruction limit reached!
% 2.11/0.66 % (10524)------------------------------
% 2.11/0.66 % (10524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.66 % (10537)Instruction limit reached!
% 2.11/0.66 % (10537)------------------------------
% 2.11/0.66 % (10537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.66 % (10524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.66 % (10524)Termination reason: Unknown
% 2.11/0.66 % (10524)Termination phase: Function definition elimination
% 2.11/0.66
% 2.11/0.66 % (10524)Memory used [KB]: 2558
% 2.11/0.66 % (10524)Time elapsed: 0.025 s
% 2.11/0.66 % (10524)Instructions burned: 50 (million)
% 2.11/0.66 % (10524)------------------------------
% 2.11/0.66 % (10524)------------------------------
% 2.11/0.67 % (10528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.67 % (10528)Termination reason: Unknown
% 2.11/0.67 % (10528)Termination phase: Function definition elimination
% 2.11/0.67
% 2.11/0.67 % (10528)Memory used [KB]: 2558
% 2.11/0.67 % (10528)Time elapsed: 0.024 s
% 2.11/0.67 % (10528)Instructions burned: 52 (million)
% 2.11/0.67 % (10528)------------------------------
% 2.11/0.67 % (10528)------------------------------
% 2.11/0.67 % (10534)Instruction limit reached!
% 2.11/0.67 % (10534)------------------------------
% 2.11/0.67 % (10534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.67 % (10534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.67 % (10534)Termination reason: Unknown
% 2.11/0.67 % (10534)Termination phase: Saturation
% 2.11/0.67
% 2.11/0.67 % (10534)Memory used [KB]: 7675
% 2.11/0.67 % (10534)Time elapsed: 0.033 s
% 2.11/0.67 % (10534)Instructions burned: 68 (million)
% 2.11/0.67 % (10534)------------------------------
% 2.11/0.67 % (10534)------------------------------
% 2.11/0.68 % (10618)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.11/0.68 % (10519)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.11/0.68 % (10519)Terminated due to inappropriate strategy.
% 2.11/0.68 % (10519)------------------------------
% 2.11/0.68 % (10519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.68 % (10519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.68 % (10519)Termination reason: Inappropriate
% 2.11/0.68
% 2.11/0.68 % (10519)Memory used [KB]: 2942
% 2.11/0.68 % (10519)Time elapsed: 0.040 s
% 2.11/0.68 % (10519)Instructions burned: 81 (million)
% 2.11/0.68 % (10519)------------------------------
% 2.11/0.68 % (10519)------------------------------
% 2.11/0.69 % (10537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.69 % (10537)Termination reason: Unknown
% 2.11/0.69 % (10537)Termination phase: Property scanning
% 2.11/0.69
% 2.11/0.69 % (10537)Memory used [KB]: 2686
% 2.11/0.69 % (10537)Time elapsed: 0.032 s
% 2.11/0.69 % (10537)Instructions burned: 60 (million)
% 2.11/0.69 % (10537)------------------------------
% 2.11/0.69 % (10537)------------------------------
% 2.11/0.70 % (10530)Instruction limit reached!
% 2.11/0.70 % (10530)------------------------------
% 2.11/0.70 % (10530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.70 % (10530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.70 % (10530)Termination reason: Unknown
% 2.11/0.70 % (10530)Termination phase: Saturation
% 2.11/0.70
% 2.11/0.70 % (10530)Memory used [KB]: 7419
% 2.11/0.70 % (10530)Time elapsed: 0.261 s
% 2.11/0.70 % (10530)Instructions burned: 101 (million)
% 2.11/0.70 % (10530)------------------------------
% 2.11/0.70 % (10530)------------------------------
% 2.11/0.70 % (10531)Instruction limit reached!
% 2.11/0.70 % (10531)------------------------------
% 2.11/0.70 % (10531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.70 % (10531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.70 % (10531)Termination reason: Unknown
% 2.11/0.70 % (10531)Termination phase: Saturation
% 2.11/0.70
% 2.11/0.70 % (10531)Memory used [KB]: 7547
% 2.11/0.70 % (10531)Time elapsed: 0.051 s
% 2.11/0.70 % (10531)Instructions burned: 101 (million)
% 2.11/0.70 % (10531)------------------------------
% 2.11/0.70 % (10531)------------------------------
% 2.11/0.70 % (10536)Instruction limit reached!
% 2.11/0.70 % (10536)------------------------------
% 2.11/0.70 % (10536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.70 % (10536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.70 % (10536)Termination reason: Unknown
% 2.11/0.70 % (10536)Termination phase: Saturation
% 2.11/0.70
% 2.11/0.70 % (10536)Memory used [KB]: 7675
% 2.11/0.70 % (10536)Time elapsed: 0.267 s
% 2.11/0.70 % (10536)Instructions burned: 100 (million)
% 2.11/0.70 % (10536)------------------------------
% 2.11/0.70 % (10536)------------------------------
% 2.11/0.71 % (10538)Instruction limit reached!
% 2.11/0.71 % (10538)------------------------------
% 2.11/0.71 % (10538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.72 % (10532)Instruction limit reached!
% 2.11/0.72 % (10532)------------------------------
% 2.11/0.72 % (10532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.72 % (10627)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.44/0.72 % (10626)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.44/0.73 % (10629)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.44/0.73 % (10628)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.44/0.74 % (10538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.74 % (10532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.74 % (10538)Termination reason: Unknown
% 2.44/0.74 % (10532)Termination reason: Unknown
% 2.44/0.74 % (10532)Termination phase: Saturation
% 2.44/0.74
% 2.44/0.74 % (10532)Memory used [KB]: 7419
% 2.44/0.74 % (10532)Time elapsed: 0.282 s
% 2.44/0.74 % (10532)Instructions burned: 99 (million)
% 2.44/0.74 % (10532)------------------------------
% 2.44/0.74 % (10532)------------------------------
% 2.44/0.74 % (10538)Termination phase: Saturation
% 2.44/0.74
% 2.44/0.74 % (10538)Memory used [KB]: 7547
% 2.44/0.74 % (10538)Time elapsed: 0.051 s
% 2.44/0.74 % (10538)Instructions burned: 101 (million)
% 2.44/0.74 % (10538)------------------------------
% 2.44/0.74 % (10538)------------------------------
% 2.44/0.74 % (10539)Instruction limit reached!
% 2.44/0.74 % (10539)------------------------------
% 2.44/0.74 % (10539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.74 % (10539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.74 % (10539)Termination reason: Unknown
% 2.44/0.74 % (10539)Termination phase: Saturation
% 2.44/0.74
% 2.44/0.74 % (10539)Memory used [KB]: 2942
% 2.44/0.74 % (10539)Time elapsed: 0.052 s
% 2.44/0.74 % (10539)Instructions burned: 100 (million)
% 2.44/0.74 % (10539)------------------------------
% 2.44/0.74 % (10539)------------------------------
% 2.44/0.75 % (10550)First to succeed.
% 2.59/0.76 % (10632)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.59/0.77 % (10630)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.59/0.77 % (10633)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.59/0.78 % (10550)Refutation found. Thanks to Tanya!
% 2.59/0.78 % SZS status Theorem for theBenchmark
% 2.59/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/0.78 % (10550)------------------------------
% 2.59/0.78 % (10550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.78 % (10550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.78 % (10550)Termination reason: Refutation
% 2.59/0.78
% 2.59/0.78 % (10550)Memory used [KB]: 7803
% 2.59/0.78 % (10550)Time elapsed: 0.311 s
% 2.59/0.78 % (10550)Instructions burned: 110 (million)
% 2.59/0.78 % (10550)------------------------------
% 2.59/0.78 % (10550)------------------------------
% 2.59/0.78 % (10505)Success in time 0.413 s
%------------------------------------------------------------------------------