TSTP Solution File: GRP704-12 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 : Sat Jul 16 11:40:26 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   6 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f01,axiom,
    mult(X,ld(X,Y)) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

cnf(f06,axiom,
    mult(unit,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

cnf(f10,axiom,
    mult(X,mult(op_c,Y)) = mult(mult(X,op_c),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).

cnf(f13,axiom,
    op_f = mult(X,mult(Y,ld(mult(X,Y),op_c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f13) ).

cnf(goal,negated_conjecture,
    mult(x4,mult(op_f,x5)) != mult(mult(x4,op_f),x5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(64,plain,
    op_f = op_c,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f06,f13,theory(equality)]),f01,f06,theory(equality)]) ).

cnf(66,plain,
    $false,
    inference('REWRITE',[status(thm)],[goal,f10,64,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 02:00:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T02:00:33
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-14T02:00:33
% 0.20/0.49  
% 0.20/0.49  ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.20/0.52  ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable 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  ;       180 formulas have been input or derived (from 15 formulas).
% 0.20/0.52  ;        66 (37%) were retained.  Of these,
% 0.20/0.52  ;           10 (15%) were simplified or subsumed later,
% 0.20/0.52  ;           56 (85%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds:
% 0.20/0.52  ;     0.003   7%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (14 calls)
% 0.20/0.52  ;     0.011  24%   Process new row              (154 calls)
% 0.20/0.52  ;     0.000   0%   Resolution                   (28 calls)
% 0.20/0.52  ;     0.005  11%   Paramodulation               (14 calls)
% 0.20/0.52  ;     0.001   2%   Forward simplification       (127 calls)
% 0.20/0.52  ;     0.001   2%   Backward simplification      (66 calls)
% 0.20/0.52  ;     0.005  11%   Ordering                     (470 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.020  43%   Other
% 0.20/0.52  ;     0.046        Total
% 0.20/0.52  ;     0.047        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 176 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 158 entries (174 at peak, 192 added, 34 deleted).
% 0.20/0.52  ; Path-index has 393 nodes (407 at peak, 431 added, 38 deleted).
% 0.20/0.52  ; Trie-index has 158 entries (174 at peak, 192 added, 34 deleted).
% 0.20/0.52  ; Trie-index has 644 nodes (722 at peak, 786 added, 142 deleted).
% 0.20/0.52  ; Retrieved 268 generalization terms in 456 calls.
% 0.20/0.52  ; Retrieved 113 instance terms in 93 calls.
% 0.20/0.52  ; Retrieved 417 unifiable terms in 92 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 25 entries:
% 0.20/0.52  ;     3 with value 14              2 with value 17               9 with value 22
% 0.20/0.52  ;     5 with value 16              2 with value 21               4 with value 23
% 0.20/0.52  ; The agenda of input rows to give has 3 entries:
% 0.20/0.52  ;     2 with value 16              1 with value 19
% 0.20/0.52  ; The agenda of rows to give has 42 entries:
% 0.20/0.52  ;     3 with value (4 5)           3 with value (4 11)          17 with value (4 16)
% 0.20/0.52  ;     4 with value (4 8)           4 with value (4 15)          10 with value (4 20)
% 0.20/0.52  ;     1 with value (4 10)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.047 seconds of real time
% 0.20/0.52    0.038969 seconds of user run time
% 0.20/0.52    0.008337 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,383,072 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T02:00:33
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------