TSTP Solution File: ARI685_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ARI685_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 : Thu Jul 14 22:09:56 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')

% Comments : 
%------------------------------------------------------------------------------
tff(1,axiom,
    $sum($product(a,a),$sum($product($sum(a,b),$product($sum(c,$sum(d,1)),$sum(a,2))),$sum(b,$product(-1,$product($sum(a,$sum(b,$sum(c,d))),$sum(2,c)))))) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).

tff(2,plain,
    $sum($product(2,$product(a,a)),$sum($product(a,c),$sum($product(a,$product(c,a)),$sum($product(2,$product(a,d)),$sum($product(a,$product(d,a)),$sum(b,$sum($product(b,a),$sum($product(b,c),$sum($product(b,$product(c,a)),$sum($product(2,$product(b,d)),$sum($product(b,$product(d,a)),$sum($product(-2,c),$sum($product(-1,$product(c,c)),$sum($product(-2,d),$product(-1,$product(d,c)))))))))))))))) = 0,
    inference('REWRITE',[status(thm)],[1,'CODE-FOR-$$PRODUCT','CODE-FOR-$$SUM']) ).

tff(3,negated_conjecture,
    $sum($product(d,$product(b,a)),$product(-1,$sum($difference($sum($product(-2,$product(a,a)),$product(-1,$product(c,a))),b),$sum($product(-1,$product(b,a)),$sum($product(2,c),$sum($product(-1,$product(c,b)),$sum($product(c,c),$sum($product(-1,$product(c,$product(a,a))),$sum($product(-1,$product(2,$product(d,a))),$sum($product(-1,$product(2,$product(d,b))),$sum($product(-1,$product(c,$product(b,a))),$sum($product(d,c),$sum($product(-1,$product(d,$product(a,a))),$product(2,d)))))))))))))) != 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

cnf(4,plain,
    $false,
    inference('REWRITE',[status(thm)],[3,2,'CODE-FOR-$$SUM','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE','CODE-FOR-$$PRODUCT',theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI685_1 : TPTP v8.1.0. Released v6.3.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n011.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 17 11:00:22 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T11:00:22
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-17T11:00:22
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;         4 formulas have been input or derived (from 1 formulas).
% 0.20/0.52  ;         4 (100%) were retained.  Of these,
% 0.20/0.52  ;            2 (50%) were simplified or subsumed later,
% 0.20/0.52  ;            2 (50%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.002   7%   Assert                       (2 calls)
% 0.20/0.52  ;     0.001   3%   Process new row              (2 calls)
% 0.20/0.52  ;     0.003  10%   Forward simplification       (2 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (2 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (1 call)
% 0.20/0.52  ;     0.001   3%   Sortal reasoning             (585 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  70%   Other
% 0.20/0.52  ;     0.030        Total
% 0.20/0.52  ;     0.034        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 16 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52  ; Path-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.20/0.52  ; Path-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.20/0.52  ; Retrieved 3 generalization terms in 3 calls.
% 0.20/0.52  ; Retrieved 1 instance term in 1 call.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of input rows to give has 1 entry:
% 0.20/0.52  ;     1 with value 80
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.034 seconds of real time
% 0.20/0.52    0.027971 seconds of user run time
% 0.20/0.53    0.006054 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    2,312,744 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T11:00:22
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
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