TSTP Solution File: ITP332_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : 600s
% DateTime : Sun Jul 17 00:35:07 EDT 2022
% Result : Theorem 146.53s 146.71s
% Output : Refutation 146.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 4 equ)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 36 ( 36 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 7 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
~ 'thesis$',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture0) ).
tff(2,hypothesis,
! [X: 'A_m_vec_m_vec$',Y: 'A_n_vec_n_vec$'] :
( ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X),'a$'),Y) )
| ~ 'invertible$'(X)
| ~ 'invertible$a'(Y)
| 'thesis$' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis1) ).
tff(3,plain,
! [X: 'A_m_vec_m_vec$',Y: 'A_n_vec_n_vec$'] :
( ( 'b$' != 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'(X),'a$'),Y) )
| ~ 'invertible$'(X)
| ~ 'invertible$a'(Y) ),
inference('REWRITE',[status(thm)],[2,1]) ).
tff(4,axiom,
'equivalent_matrices$'('a$','b$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2) ).
tff(25,axiom,
! [X: 'A_n_vec_m_vec$',Y: 'A_n_vec_m_vec$'] :
( ~ 'equivalent_matrices$'(X,Y)
| 'invertible$'('SKOLEMAAAV11.A_m_vec_m_vec$'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(26,axiom,
! [X: 'A_n_vec_m_vec$',Y: 'A_n_vec_m_vec$'] :
( ~ 'equivalent_matrices$'(X,Y)
| 'invertible$a'('SKOLEMAAAV12.A_n_vec_n_vec$'(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(27,axiom,
! [X: 'A_n_vec_m_vec$',Y: 'A_n_vec_m_vec$'] :
( ~ 'equivalent_matrices$'(X,Y)
| ( Y = 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'('SKOLEMAAAV11.A_m_vec_m_vec$'(Y,X)),X),'SKOLEMAAAV12.A_n_vec_n_vec$'(Y,X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(814,plain,
'invertible$'('SKOLEMAAAV11.A_m_vec_m_vec$'('b$','a$')),
inference('HYPERRESOLVE',[status(thm)],[25,4]) ).
tff(815,plain,
'invertible$a'('SKOLEMAAAV12.A_n_vec_n_vec$'('b$','a$')),
inference('HYPERRESOLVE',[status(thm)],[26,4]) ).
tff(8133,plain,
'b$' = 'matrix_matrix_mult$'('matrix_matrix_mult$a'('matrix_inv$'('SKOLEMAAAV11.A_m_vec_m_vec$'('b$','a$')),'a$'),'SKOLEMAAAV12.A_n_vec_n_vec$'('b$','a$')),
inference('HYPERRESOLVE',[status(thm)],[27,4]) ).
cnf(41641,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,815,814]),8133,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 4 01:20:40 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T01:20:40
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-04T01:20:40
% 0.49/0.69 WARNING:
% 0.49/0.69 DECLARE-PROPOSITION is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 146.53/146.71
% 146.53/146.71
% 146.53/146.71 #||
% 146.53/146.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.53/146.71 % SZS output start Refutation
% See solution above
% 146.53/146.71 ||#
% 146.53/146.71
% 146.53/146.71 ; Summary of computation:
% 146.53/146.71 ; 186895 formulas have been input or derived (from 920 formulas).
% 146.53/146.71 ; 41641 (22%) were retained. Of these,
% 146.53/146.71 ; 5462 (13%) were simplified or subsumed later,
% 146.53/146.71 ; 36179 (87%) are still being kept.
% 146.53/146.71 ;
% 146.53/146.71 ; Run time in seconds excluding printing time:
% 146.53/146.71 ; 0.166 0% Read assertion file (1 call)
% 146.53/146.71 ; 0.018 0% Assert (640 calls)
% 146.53/146.71 ; 4.733 3% Process new row (179,164 calls)
% 146.53/146.71 ; 13.484 9% Resolution (1,838 calls)
% 146.53/146.71 ; 0.112 0% Paramodulation (919 calls)
% 146.53/146.71 ; 0.000 0% Factoring (67 calls)
% 146.53/146.71 ; 1.656 1% Condensing (115,827 calls)
% 146.53/146.71 ; 67.551 46% Forward subsumption (115,827 calls)
% 146.53/146.71 ; 6.882 5% Backward subsumption (40,195 calls)
% 146.53/146.71 ; 28.414 19% Clause clause subsumption (12,098,968 calls)
% 146.53/146.71 ; 11.816 8% Forward simplification (174,200 calls)
% 146.53/146.71 ; 0.300 0% Backward simplification (41,615 calls)
% 146.53/146.71 ; 6.691 5% Ordering (1,351,678 calls)
% 146.53/146.71 ; 0.069 0% Ordering ac (5,489 calls)
% 146.53/146.71 ; 3.563 2% Sortal reasoning (5,358,120 calls)
% 146.53/146.71 ; 0.002 0% Purity testing (1 call)
% 146.53/146.71 ; 0.750 1% Other
% 146.53/146.71 ; 146.207 Total
% 146.53/146.71 ; 146.220 Real time
% 146.53/146.71 ;
% 146.53/146.72 ; Term-hash-array has 25,565 terms in all.
% 146.53/146.72 ; Feature-vector-row-index has 35,234 entries (35,234 at peak, 40,195 added, 4,961 deleted).
% 146.53/146.72 ; Feature-vector-row-index has 81,144 nodes (81,144 at peak, 96,159 added, 15,015 deleted).
% 146.53/146.72 ; Retrieved 21,302,846 possibly forward subsuming rows in 115,827 calls.
% 146.53/146.72 ; Retrieved 1,234,045 possibly backward subsumed rows in 40,195 calls.
% 146.53/146.72 ; Path-index has 20,441 entries (20,441 at peak, 26,255 added, 5,814 deleted).
% 146.53/146.72 ; Path-index has 16,837 nodes (16,837 at peak, 18,791 added, 1,954 deleted).
% 146.53/146.72 ; Trie-index has 20,441 entries (20,441 at peak, 26,255 added, 5,814 deleted).
% 146.53/146.72 ; Trie-index has 35,583 nodes (35,583 at peak, 47,247 added, 11,664 deleted).
% 146.53/146.72 ; Retrieved 1,537,722 generalization terms in 1,814,354 calls.
% 146.53/146.72 ; Retrieved 14,435 instance terms in 2,067 calls.
% 146.53/146.72 ; Retrieved 10,025,733 unifiable terms in 42,952 calls.
% 146.53/146.72 ;
% 146.53/146.72 ; The agenda of rows to process has 85 entries:
% 146.53/146.72 ; 4 with value 19 4 with value 23 4 with value 27
% 146.53/146.72 ; 4 with value 20 6 with value 25 4 with value 30
% 146.53/146.72 ; 17 with value 21 20 with value 26 4 with value 31
% 146.53/146.72 ; 18 with value 22
% 146.53/146.72 ; The agenda of rows to give has 35467 entries:
% 146.53/146.72 ; 2 with value (4 7) 974 with value (4 35) 463 with value (4 62)
% 146.53/146.72 ; 6 with value (4 8) 908 with value (4 36) 319 with value (4 63)
% 146.53/146.72 ; 16 with value (4 9) 857 with value (4 37) 155 with value (4 64)
% 146.53/146.72 ; 23 with value (4 10) 826 with value (4 38) 220 with value (4 65)
% 146.53/146.72 ; 46 with value (4 11) 973 with value (4 39) 194 with value (4 66)
% 146.53/146.72 ; 42 with value (4 12) 919 with value (4 40) 143 with value (4 67)
% 146.53/146.72 ; 39 with value (4 13) 885 with value (4 41) 146 with value (4 68)
% 146.53/146.72 ; 110 with value (4 14) 1047 with value (4 42) 93 with value (4 69)
% 146.53/146.72 ; 114 with value (4 15) 976 with value (4 43) 92 with value (4 70)
% 146.53/146.72 ; 156 with value (4 16) 1004 with value (4 44) 87 with value (4 71)
% 146.53/146.72 ; 161 with value (4 17) 1039 with value (4 45) 59 with value (4 72)
% 146.53/146.72 ; 264 with value (4 18) 957 with value (4 46) 18 with value (4 73)
% 146.53/146.72 ; 294 with value (4 19) 988 with value (4 47) 7 with value (4 74)
% 146.53/146.72 ; 333 with value (4 20) 1061 with value (4 48) 34 with value (4 75)
% 146.53/146.72 ; 431 with value (4 21) 926 with value (4 49) 32 with value (4 76)
% 146.53/146.72 ; 555 with value (4 22) 825 with value (4 50) 17 with value (4 77)
% 146.53/146.72 ; 508 with value (4 23) 946 with value (4 51) 1 with value (4 79)
% 146.53/146.72 ; 593 with value (4 24) 802 with value (4 52) 2 with value (4 80)
% 146.53/146.72 ; 639 with value (4 25) 819 with value (4 53) 3 with value (4 81)
% 146.53/146.72 ; 714 with value (4 26) 740 with value (4 54) 1 with value (4 83)
% 146.53/146.72 ; 795 with value (4 27) 561 with value (4 55) 1 with value (4 87)
% 146.53/146.72 ; 703 with value (4 28) 577 with value (4 56) 1 with value (4 89)
% 146.53/146.72 ; 754 with value (4 29) 551 with value (4 57) 1 with value (4 90)
% 146.53/146.72 ; 708 with value (4 30) 511 with value (4 58) 4 with value (4 92)
% 146.53/146.72 ; 865 with value (4 31) 563 with value (4 59) 1 with value (4 100)
% 146.53/146.72 ; 872 with value (4 32) 441 with value (4 60) 4 with value (4 101)
% 146.53/146.72 ; 812 with value (4 33) 361 with value (4 61) 1 with value (4 121)
% 146.53/146.72 ; 776 with value (4 34)
% 146.53/146.72 Evaluation took:
% 146.53/146.72 146.228 seconds of real time
% 146.53/146.72 125.66748 seconds of user run time
% 146.53/146.72 20.548737 seconds of system run time
% 146.53/146.72 [Run times include 17.307 seconds GC run time.]
% 146.53/146.72 0 calls to %EVAL
% 146.53/146.72 0 page faults and
% 146.53/146.72 15,157,312,008 bytes consed.
% 146.53/146.72 :PROOF-FOUND
% 146.53/146.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T01:23:07
% 146.53/146.72 :PROOF-FOUND
% 146.53/146.72 *
%------------------------------------------------------------------------------