TSTP Solution File: ITP339_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 : n025.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 0.62s 0.84s
% Output : Refutation 0.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,negated_conjecture,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture0) ).
tff(2,plain,
'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(1,'fun_app$b'('of_nat$','ka$')))))),'nat$'($sum(1,'fun_app$b'('of_nat$','ka$')))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(1,'fun_app$b'('of_nat$','ka$')))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(1,'fun_app$b'('of_nat$','ka$'))))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(1,'fun_app$b'('of_nat$','ka$')))))))))),'nat$'($sum(1,'fun_app$b'('of_nat$','ka$')))))),
inference('REWRITE',[status(thm)],[1,'CODE-FOR-$$SUM']) ).
tff(5,axiom,
'a$a' = 'foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2) ).
tff(6,plain,
'a$a' = 'foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum(1,'fun_app$b'('of_nat$','ka$'))))),
inference('REWRITE',[status(thm)],[5,'CODE-FOR-$$SUM']) ).
tff(10,axiom,
! [X: 'Nat_a_b_vec_c_vec_prod$'] : ( 'pair$a'('fst$a'(X),'snd$a'(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom6) ).
tff(12,axiom,
! [X: 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : ( 'pair$'('fst$'(X),'snd$'(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
cnf(749,plain,
$false,
inference('REWRITE',[status(thm)],[2,12,10,6,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 3 00:31:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T00:31:00
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-03T00:31:00
% 0.62/0.84
% 0.62/0.84
% 0.62/0.84 #||
% 0.62/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.84 % SZS output start Refutation
% See solution above
% 0.62/0.85 ||#
% 0.62/0.85
% 0.62/0.85 ; Summary of computation:
% 0.62/0.85 ; 1161 formulas have been input or derived (from 1 formulas).
% 0.62/0.85 ; 749 (65%) were retained. Of these,
% 0.62/0.85 ; 223 (30%) were simplified or subsumed later,
% 0.62/0.85 ; 526 (70%) are still being kept.
% 0.62/0.85 ;
% 0.62/0.85 ; Run time in seconds excluding printing time:
% 0.62/0.85 ; 0.170 48% Read assertion file (1 call)
% 0.62/0.85 ; 0.021 6% Assert (634 calls)
% 0.62/0.85 ; 0.052 15% Process new row (981 calls)
% 0.62/0.85 ; 0.015 4% Condensing (743 calls)
% 0.62/0.85 ; 0.016 5% Forward subsumption (743 calls)
% 0.62/0.85 ; 0.013 4% Backward subsumption (438 calls)
% 0.62/0.85 ; 0.010 3% Clause clause subsumption (787 calls)
% 0.62/0.85 ; 0.025 7% Forward simplification (981 calls)
% 0.62/0.85 ; 0.001 0% Backward simplification (572 calls)
% 0.62/0.85 ; 0.002 1% Ordering (216 calls)
% 0.62/0.85 ; 0.001 0% Ordering ac (5 calls)
% 0.62/0.85 ; 0.006 2% Sortal reasoning (2,846 calls)
% 0.62/0.85 ; 0.001 0% Purity testing (1 call)
% 0.62/0.85 ; 0.020 6% Other
% 0.62/0.85 ; 0.353 Total
% 0.62/0.85 ; 0.366 Real time
% 0.62/0.85 ;
% 0.62/0.85 ; Term-hash-array has 1,461 terms in all.
% 0.62/0.85 ; Feature-vector-row-index has 409 entries (409 at peak, 438 added, 29 deleted).
% 0.62/0.85 ; Feature-vector-row-index has 2,970 nodes (2,970 at peak, 3,351 added, 381 deleted).
% 0.62/0.85 ; Retrieved 898 possibly forward subsuming rows in 743 calls.
% 0.62/0.85 ; Retrieved 156 possibly backward subsumed rows in 438 calls.
% 0.62/0.85 ; Path-index has 1,428 entries (1,428 at peak, 1,540 added, 112 deleted).
% 0.62/0.85 ; Path-index has 6,277 nodes (6,277 at peak, 6,767 added, 490 deleted).
% 0.62/0.85 ; Trie-index has 1,428 entries (1,428 at peak, 1,540 added, 112 deleted).
% 0.62/0.85 ; Trie-index has 4,089 nodes (4,089 at peak, 5,017 added, 928 deleted).
% 0.62/0.85 ; Retrieved 1,141 generalization terms in 3,833 calls.
% 0.62/0.85 ; Retrieved 226 instance terms in 145 calls.
% 0.62/0.85 ;
% 0.62/0.85 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.62/0.85 ; 1 with value 0
% 0.62/0.85 ; The agenda of input rows to give has 525 entries:
% 0.62/0.85 ; 6 with value 4 19 with value 21 2 with value 36
% 0.62/0.85 ; 17 with value 6 13 with value 22 5 with value 37
% 0.62/0.85 ; 7 with value 7 8 with value 23 5 with value 38
% 0.62/0.85 ; 17 with value 8 11 with value 24 3 with value 40
% 0.62/0.85 ; 16 with value 9 23 with value 25 1 with value 41
% 0.62/0.85 ; 23 with value 10 24 with value 26 4 with value 43
% 0.62/0.85 ; 41 with value 11 12 with value 27 3 with value 45
% 0.62/0.85 ; 17 with value 12 5 with value 28 1 with value 51
% 0.62/0.85 ; 51 with value 13 5 with value 29 5 with value 53
% 0.62/0.85 ; 21 with value 14 23 with value 30 1 with value 54
% 0.62/0.85 ; 14 with value 15 2 with value 31 1 with value 56
% 0.62/0.85 ; 18 with value 16 5 with value 32 2 with value 57
% 0.62/0.85 ; 20 with value 17 7 with value 33 1 with value 58
% 0.62/0.85 ; 22 with value 18 4 with value 34 1 with value 60
% 0.62/0.85 ; 22 with value 19 7 with value 35 1 with value 81
% 0.62/0.85 ; 9 with value 20
% 0.62/0.85 Evaluation took:
% 0.62/0.85 0.367 seconds of real time
% 0.62/0.85 0.344144 seconds of user run time
% 0.62/0.85 0.023003 seconds of system run time
% 0.62/0.85 [Run times include 0.017 seconds GC run time.]
% 0.62/0.85 0 calls to %EVAL
% 0.62/0.85 0 page faults and
% 0.62/0.85 25,676,032 bytes consed.
% 0.62/0.85 :PROOF-FOUND
% 0.62/0.85 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T00:31:00
% 0.62/0.85 :PROOF-FOUND
% 0.62/0.85 *
%------------------------------------------------------------------------------