TSTP Solution File: GEO498+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 06:16:27 EDT 2022

% Result   : Theorem 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   5 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(103,axiom,
    s(X,s(X,Y)) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).

cnf(104,negated_conjecture,
    s('SKOLEMAAAT1','SKOLEMAAAT2') = 'SKOLEMAAAT3',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).

cnf(105,negated_conjecture,
    s('SKOLEMAAAT1','SKOLEMAAAT4') = 'SKOLEMAAAT3',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).

cnf(106,negated_conjecture,
    'SKOLEMAAAT2' != 'SKOLEMAAAT4',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).

cnf(208,plain,
    s('SKOLEMAAAT1','SKOLEMAAAT3') = 'SKOLEMAAAT4',
    inference('PARAMODULATE',[status(thm)],[103,105,theory(equality)]) ).

cnf(209,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[103,104,theory(equality)]),106,208,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n010.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 : Sat Jun 18 13:06:38 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  * 
% 0.20/0.48  #<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/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:06:38
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T13:06:38
% 0.20/0.53  
% 0.20/0.53  ; Recognized commutativity assertion (OR (NOT (|s_col| ?X ?Y ?Z)) (|s_col| ?Y ?X ?Z)).
% 0.20/0.53  ; Recognized relation functionality assertion (OR (NOT (|s_m| ?X ?Y ?Z)) (NOT (|s_m| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.59  ; Declaring s_col to be commutative.
% 0.20/0.59  
% 0.20/0.59  #||
% 0.20/0.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.59  % SZS output start Refutation
% See solution above
% 0.20/0.59  ||#
% 0.20/0.59  
% 0.20/0.59  ; Summary of computation:
% 0.20/0.59  ;       294 formulas have been input or derived (from 36 formulas).
% 0.20/0.59  ;       209 (71%) were retained.  Of these,
% 0.20/0.59  ;            7 ( 3%) were simplified or subsumed later,
% 0.20/0.59  ;          202 (97%) are still being kept.
% 0.20/0.59  ; 
% 0.20/0.59  ; Run time in seconds excluding printing time:
% 0.20/0.59  ;     0.036  35%   Read assertion file          (1 call)
% 0.20/0.59  ;     0.006   6%   Assert                       (110 calls)
% 0.20/0.59  ;     0.015  14%   Process new row              (264 calls)
% 0.20/0.59  ;     0.004   4%   Resolution                   (70 calls)
% 0.20/0.59  ;     0.000   0%   Paramodulation               (35 calls)
% 0.20/0.59  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.59  ;     0.004   4%   Condensing                   (139 calls)
% 0.20/0.59  ;     0.002   2%   Forward subsumption          (139 calls)
% 0.20/0.59  ;     0.000   0%   Backward subsumption         (130 calls)
% 0.20/0.59  ;     0.006   6%   Clause clause subsumption    (301 calls)
% 0.20/0.59  ;     0.006   6%   Forward simplification       (264 calls)
% 0.20/0.59  ;     0.000   0%   Backward simplification      (207 calls)
% 0.20/0.59  ;     0.000   0%   Ordering                     (61 calls)
% 0.20/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.59  ;     0.001   1%   Purity testing               (1 call)
% 0.20/0.59  ;     0.024  23%   Other
% 0.20/0.59  ;     0.104        Total
% 0.20/0.59  ;     0.107        Real time
% 0.20/0.59  ; 
% 0.20/0.59  ; Term-hash-array has 257 terms in all.
% 0.20/0.59  ; Feature-vector-row-index has 125 entries (125 at peak, 130 added, 5 deleted).
% 0.20/0.59  ; Feature-vector-row-index has 177 nodes (177 at peak, 188 added, 11 deleted).
% 0.20/0.59  ;  Retrieved 328 possibly forward subsuming rows in 139 calls.
% 0.20/0.59  ;  Retrieved 276 possibly backward subsumed rows in 130 calls.
% 0.20/0.59  ; Path-index has 257 entries (257 at peak, 266 added, 9 deleted).
% 0.20/0.59  ; Path-index has 658 nodes (658 at peak, 686 added, 28 deleted).
% 0.20/0.59  ; Trie-index has 257 entries (257 at peak, 266 added, 9 deleted).
% 0.20/0.59  ; Trie-index has 494 nodes (494 at peak, 540 added, 46 deleted).
% 0.20/0.59  ; Retrieved 713 generalization terms in 478 calls.
% 0.20/0.59  ; Retrieved 190 instance terms in 76 calls.
% 0.20/0.59  ; Retrieved 2,053 unifiable terms in 172 calls.
% 0.20/0.59  ; 
% 0.20/0.59  ; The agenda of rows to process has 11 entries:
% 0.20/0.59  ;     1 with value 9               3 with value 11               1 with value 16
% 0.20/0.59  ;     1 with value 10              5 with value 12
% 0.20/0.59  ; The agenda of input rows to give has 114 entries:
% 0.20/0.59  ;     4 with value 10              2 with value 19               5 with value 28
% 0.20/0.59  ;     2 with value 11              3 with value 20               2 with value 29
% 0.20/0.59  ;     7 with value 12              4 with value 21               1 with value 32
% 0.20/0.59  ;     1 with value 13              3 with value 22               1 with value 34
% 0.20/0.59  ;    11 with value 14              3 with value 23               1 with value 35
% 0.20/0.59  ;    15 with value 15              5 with value 24               1 with value 41
% 0.20/0.59  ;    17 with value 16              2 with value 25               1 with value 42
% 0.20/0.59  ;     3 with value 17              2 with value 26               3 with value 44
% 0.20/0.59  ;    10 with value 18              5 with value 27
% 0.20/0.59  ; The agenda of rows to give has 52 entries:
% 0.20/0.59  ;    32 with value (4 6)           1 with value (4 9)            2 with value (4 12)
% 0.20/0.59  ;     8 with value (4 7)           5 with value (4 11)           3 with value (4 15)
% 0.20/0.59  ;     1 with value (4 8)
% 0.20/0.59  Evaluation took:
% 0.20/0.59    0.107 seconds of real time
% 0.20/0.59    0.097015 seconds of user run time
% 0.20/0.59    0.010165 seconds of system run time
% 0.20/0.59    0 calls to %EVAL
% 0.20/0.59    0 page faults and
% 0.20/0.59    5,506,216 bytes consed.
% 0.20/0.59  :PROOF-FOUND
% 0.20/0.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:06:38
% 0.20/0.59  :PROOF-FOUND
% 0.20/0.59  * 
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