TSTP Solution File: ITP341_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP341_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 00:35:08 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 4 equ)
% Maximal formula atoms : 1 ( 4 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 19 ( 19 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(7,negated_conjecture,
'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')) != 'matrix_inv$'('p$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture3) ).
tff(11,axiom,
'a$' = 'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom7) ).
tff(13,axiom,
! [X: 'A_n_vec_n_vec$'] : ( 'matrix_matrix_mult$'(X,'mat$'('one$')) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom9) ).
tff(452,plain,
'a$' = 'matrix_inv$'('p$'),
inference('REWRITE',[status(thm)],[11,13,theory(equality)]) ).
cnf(454,plain,
$false,
inference('REWRITE',[status(thm)],[7,452,11,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP341_1 : TPTP v8.1.0. Released v8.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 3 08:19:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T08:19:02
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-03T08:19:02
% 0.41/0.58 WARNING:
% 0.41/0.58 |invertible$a| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64
% 0.48/0.64
% 0.48/0.64 #||
% 0.48/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 643 formulas have been input or derived (from 1 formulas).
% 0.48/0.64 ; 454 (71%) were retained. Of these,
% 0.48/0.64 ; 72 (16%) were simplified or subsumed later,
% 0.48/0.64 ; 382 (84%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds:
% 0.48/0.64 ; 0.108 56% Read assertion file (1 call)
% 0.48/0.64 ; 0.006 3% Assert (419 calls)
% 0.48/0.64 ; 0.018 9% Process new row (596 calls)
% 0.48/0.64 ; 0.011 6% Condensing (335 calls)
% 0.48/0.64 ; 0.002 1% Forward subsumption (335 calls)
% 0.48/0.64 ; 0.009 5% Backward subsumption (231 calls)
% 0.48/0.64 ; 0.003 2% Clause clause subsumption (305 calls)
% 0.48/0.64 ; 0.009 5% Forward simplification (594 calls)
% 0.48/0.64 ; 0.001 1% Backward simplification (408 calls)
% 0.48/0.64 ; 0.001 1% Ordering (421 calls)
% 0.48/0.64 ; 0.000 0% Sortal reasoning (108 calls)
% 0.48/0.64 ; 0.000 0% Purity testing (1 call)
% 0.48/0.64 ; 0.024 12% Other
% 0.48/0.64 ; 0.192 Total
% 0.48/0.64 ; 0.193 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 978 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 227 entries (227 at peak, 231 added, 4 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 658 nodes (658 at peak, 677 added, 19 deleted).
% 0.48/0.64 ; Retrieved 373 possibly forward subsuming rows in 335 calls.
% 0.48/0.64 ; Retrieved 94 possibly backward subsumed rows in 231 calls.
% 0.48/0.64 ; Path-index has 928 entries (928 at peak, 1,009 added, 81 deleted).
% 0.48/0.64 ; Path-index has 2,901 nodes (2,901 at peak, 3,022 added, 121 deleted).
% 0.48/0.64 ; Trie-index has 928 entries (928 at peak, 1,009 added, 81 deleted).
% 0.48/0.64 ; Trie-index has 2,639 nodes (2,639 at peak, 2,924 added, 285 deleted).
% 0.48/0.64 ; Retrieved 298 generalization terms in 2,099 calls.
% 0.48/0.64 ; Retrieved 430 instance terms in 248 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.48/0.64 ; 1 with value 0
% 0.48/0.64 ; The agenda of input rows to give has 381 entries:
% 0.48/0.64 ; 6 with value 4 33 with value 13 18 with value 21
% 0.48/0.64 ; 14 with value 6 34 with value 14 8 with value 22
% 0.48/0.64 ; 34 with value 7 28 with value 15 1 with value 23
% 0.48/0.64 ; 7 with value 8 22 with value 16 9 with value 24
% 0.48/0.64 ; 22 with value 9 36 with value 17 1 with value 25
% 0.48/0.64 ; 23 with value 10 8 with value 18 1 with value 26
% 0.48/0.64 ; 42 with value 11 19 with value 19 2 with value 29
% 0.48/0.64 ; 5 with value 12 7 with value 20 1 with value 35
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.194 seconds of real time
% 0.48/0.64 0.176209 seconds of user run time
% 0.48/0.64 0.016903 seconds of system run time
% 0.48/0.64 0 calls to %EVAL
% 0.48/0.64 0 page faults and
% 0.48/0.64 11,910,512 bytes consed.
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T08:19:02
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 *
%------------------------------------------------------------------------------