TSTP Solution File: COL011-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 : Fri Jul 15 00:41:36 EDT 2022

% Result   : Unsatisfiable 234.27s 234.49s
% Output   : Refutation 234.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   7 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(o_definition,axiom,
    apply(apply(o,X),Y) = apply(Y,apply(X,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o_definition) ).

cnf(q1_definition,axiom,
    apply(apply(apply(q1,X),Y),Z) = apply(X,apply(Z,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q1_definition) ).

cnf(prove_fixed_point,negated_conjecture,
    X != apply(combinator,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).

cnf(7,plain,
    apply(X,Y) != apply(apply(apply(q1,combinator),Y),X),
    inference('PARAMODULATE',[status(thm)],[prove_fixed_point,q1_definition,theory(equality)]) ).

cnf(9,plain,
    apply(apply(apply(q1,X),Y),apply(o,Z)) = apply(X,apply(Y,apply(Z,Y))),
    inference('PARAMODULATE',[status(thm)],[q1_definition,o_definition,theory(equality)]) ).

cnf(19,plain,
    apply(apply(apply(apply(apply(q1,q1),X),Y),Z),U) = apply(apply(Y,X),apply(U,Z)),
    inference('PARAMODULATE',[status(thm)],[q1_definition,q1_definition,theory(equality)]) ).

cnf(220,plain,
    apply(X,apply(Y,apply(Z,Y))) != apply(apply(apply(apply(q1,apply(q1,combinator)),Y),apply(o,Z)),X),
    inference('PARAMODULATE',[status(thm)],[7,9,theory(equality)]) ).

cnf(19318,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[220,19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue May 31 08:39:51 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T08:39:51
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-31T08:39:51
% 234.27/234.49  
% 234.27/234.49  
% 234.27/234.49  #||
% 234.27/234.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 234.27/234.49  % SZS output start Refutation
% See solution above
% 234.27/234.49  ||#
% 234.27/234.49  
% 234.27/234.49  ; Summary of computation:
% 234.27/234.49  ;     59045 formulas have been input or derived (from 142 formulas).
% 234.27/234.49  ;     19318 (33%) were retained.  Of these,
% 234.27/234.49  ;         2167 (11%) were simplified or subsumed later,
% 234.27/234.49  ;        17151 (89%) are still being kept.
% 234.27/234.49  ; 
% 234.27/234.49  ; Run time in seconds:
% 234.27/234.49  ;     0.001   0%   Read assertion file          (1 call)
% 234.27/234.49  ;     0.000   0%   Assert                       (3 calls)
% 234.27/234.49  ;     4.456   2%   Process new row              (58,299 calls)
% 234.27/234.49  ;     0.459   0%   Resolution                   (282 calls)
% 234.27/234.49  ;     2.074   1%   Paramodulation               (141 calls)
% 234.27/234.49  ;    49.722  21%   Forward simplification       (58,275 calls)
% 234.27/234.49  ;     5.066   2%   Backward simplification      (19,318 calls)
% 234.27/234.49  ;   171.949  73%   Ordering                     (12,483,238 calls)
% 234.27/234.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 234.27/234.49  ;     0.000   0%   Purity testing               (1 call)
% 234.27/234.49  ;     0.293   0%   Other
% 234.27/234.49  ;   234.020        Total
% 234.27/234.49  ;   234.010        Real time
% 234.27/234.50  ; 
% 234.27/234.50  ; Term-hash-array has 70,250 terms in all.
% 234.27/234.50  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 234.27/234.50  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 234.27/234.50  ; Path-index has 64,034 entries (64,034 at peak, 71,543 added, 7,509 deleted).
% 234.27/234.50  ; Path-index has 2,593 nodes (2,593 at peak, 2,710 added, 117 deleted).
% 234.27/234.50  ; Trie-index has 64,034 entries (64,034 at peak, 71,543 added, 7,509 deleted).
% 234.27/234.50  ; Trie-index has 418,114 nodes (418,114 at peak, 468,249 added, 50,135 deleted).
% 234.27/234.50  ; Retrieved 16,111,223 generalization terms in 1,253,924 calls.
% 234.27/234.50  ; Retrieved 556,751 instance terms in 38,031 calls.
% 234.27/234.50  ; Retrieved 1,450,734 unifiable terms in 1,739 calls.
% 234.27/234.50  ; 
% 234.27/234.50  ; The agenda of rows to process has 639 entries:
% 234.27/234.50  ;     1 with value 25             44 with value 42              10 with value 56
% 234.27/234.50  ;     2 with value 27             57 with value 43              12 with value 57
% 234.27/234.50  ;     5 with value 30             72 with value 44               6 with value 58
% 234.27/234.50  ;     2 with value 31             38 with value 45               7 with value 59
% 234.27/234.50  ;    10 with value 32             34 with value 46               5 with value 60
% 234.27/234.50  ;     1 with value 33             15 with value 47               3 with value 61
% 234.27/234.50  ;    13 with value 34             24 with value 48               3 with value 62
% 234.27/234.50  ;     4 with value 35             28 with value 49               4 with value 63
% 234.27/234.50  ;    21 with value 36             42 with value 50               3 with value 64
% 234.27/234.50  ;     9 with value 37             11 with value 51               3 with value 65
% 234.27/234.50  ;    34 with value 38             15 with value 52               1 with value 66
% 234.27/234.50  ;    16 with value 39              8 with value 53               1 with value 68
% 234.27/234.50  ;    22 with value 40             16 with value 54               1 with value 74
% 234.27/234.50  ;    30 with value 41              6 with value 55
% 234.27/234.50  ; The agenda of rows to give has 17012 entries:
% 234.27/234.50  ;    34 with value (4 29)        556 with value (4 51)          12 with value (4 73)
% 234.27/234.50  ;    61 with value (4 30)        349 with value (4 52)          10 with value (4 74)
% 234.27/234.50  ;    82 with value (4 31)        292 with value (4 53)           3 with value (4 75)
% 234.27/234.50  ;   151 with value (4 32)        211 with value (4 54)           8 with value (4 76)
% 234.27/234.50  ;   205 with value (4 33)        235 with value (4 55)          12 with value (4 77)
% 234.27/234.50  ;   278 with value (4 34)        127 with value (4 56)           4 with value (4 78)
% 234.27/234.50  ;   304 with value (4 35)        137 with value (4 57)           3 with value (4 79)
% 234.27/234.50  ;   510 with value (4 36)        118 with value (4 58)           7 with value (4 80)
% 234.27/234.50  ;   456 with value (4 37)         95 with value (4 59)           1 with value (4 81)
% 234.27/234.50  ;   866 with value (4 38)         74 with value (4 60)           6 with value (4 82)
% 234.27/234.50  ;   814 with value (4 39)         62 with value (4 61)           1 with value (4 83)
% 234.27/234.50  ;  1154 with value (4 40)         45 with value (4 62)           6 with value (4 84)
% 234.27/234.50  ;  1089 with value (4 41)         33 with value (4 63)           2 with value (4 85)
% 234.27/234.50  ;  1377 with value (4 42)         42 with value (4 64)           3 with value (4 86)
% 234.27/234.50  ;  1162 with value (4 43)         25 with value (4 65)           1 with value (4 87)
% 234.27/234.50  ;  1144 with value (4 44)         20 with value (4 66)           3 with value (4 88)
% 234.27/234.50  ;   884 with value (4 45)         31 with value (4 67)           4 with value (4 89)
% 234.27/234.50  ;   961 with value (4 46)         21 with value (4 68)           3 with value (4 90)
% 234.27/234.50  ;   766 with value (4 47)         18 with value (4 69)           2 with value (4 92)
% 234.27/234.50  ;   781 with value (4 48)         12 with value (4 70)           1 with value (4 93)
% 234.27/234.50  ;   618 with value (4 49)         14 with value (4 71)           1 with value (4 107)
% 234.27/234.50  ;   694 with value (4 50)         11 with value (4 72)
% 234.27/234.50  Evaluation took:
% 234.27/234.50    234.014 seconds of real time
% 234.27/234.50    218.8318 seconds of user run time
% 234.27/234.50    15.192741 seconds of system run time
% 234.27/234.50    [Run times include 37.31 seconds GC run time.]
% 234.27/234.50    0 calls to %EVAL
% 234.27/234.50    0 page faults and
% 234.27/234.50    13,594,669,088 bytes consed.
% 234.27/234.50  :PROOF-FOUND
% 234.27/234.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T08:43:45
% 234.27/234.50  :PROOF-FOUND
% 234.27/234.50  * 
%------------------------------------------------------------------------------