TSTP Solution File: COM021+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM021+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Fri Jul 15 01:42:45 EDT 2022

% Result   : Theorem 0.46s 0.69s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   17 (  12 unt;   3 nHn;  17 RR)
%            Number of literals    :   34 (   3 equ;  18 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtplgtdt0(X,Y,Z)
    | aReductOfIn0(Z,X,Y)
    | aReductOfIn0('SKOLEMAAAV1'(X,Y,Z),X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).

cnf(8,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtasgtdt0(X,Y,Z)
    | X = Z
    | sdtmndtplgtdt0(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).

cnf(35,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aNormalFormOfIn0(Z,X,Y)
    | aElement0(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).

cnf(37,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aNormalFormOfIn0(Z,X,Y)
    | ~ aReductOfIn0(U,Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).

cnf(40,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

cnf(57,hypothesis,
    aElement0(xw),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

cnf(60,hypothesis,
    aNormalFormOfIn0(xd,xw,xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

cnf(61,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).

cnf(62,hypothesis,
    sdtmndtasgtdt0(xb,xR,xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).

cnf(63,hypothesis,
    sdtmndtasgtdt0(xd,xR,xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).

cnf(64,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(70,plain,
    aElement0(xd),
    inference('HYPERRESOLVE',[status(thm)],[35,57,40,60]) ).

cnf(75,plain,
    ~ aReductOfIn0(X,xd,xR),
    inference('UR-RESOLVE',[status(thm)],[37,57,40,60]) ).

cnf(134,plain,
    ( xd = xx
    | sdtmndtplgtdt0(xd,xR,xx) ),
    inference('HYPERRESOLVE',[status(thm)],[8,70,40,61,63]) ).

cnf(143,plain,
    ~ sdtmndtplgtdt0(xd,xR,xx),
    inference('UR-RESOLVE',[status(thm)],[3,75,70,40,61,75]) ).

cnf(144,plain,
    xd = xx,
    inference('REWRITE',[status(thm)],[134,143]) ).

cnf(145,plain,
    $false,
    inference('REWRITE',[status(thm)],[62,64,144,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COM021+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.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 : Thu Jun 16 18:44:21 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  * 
% 0.20/0.49  #<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/sandbox/benchmark/theBenchmark.p 2022-06-16T18:44:21
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-16T18:44:21
% 0.46/0.69  
% 0.46/0.69  
% 0.46/0.69  #||
% 0.46/0.69  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.69  % SZS output start Refutation
% See solution above
% 0.46/0.69  ||#
% 0.46/0.69  
% 0.46/0.69  ; Summary of computation:
% 0.46/0.69  ;       245 formulas have been input or derived (from 73 formulas).
% 0.46/0.69  ;       145 (59%) were retained.  Of these,
% 0.46/0.69  ;           16 (11%) were simplified or subsumed later,
% 0.46/0.69  ;          129 (89%) are still being kept.
% 0.46/0.69  ; 
% 0.46/0.69  ; Run time in seconds excluding printing time:
% 0.46/0.69  ;     0.007   4%   Read assertion file          (1 call)
% 0.46/0.69  ;     0.002   1%   Assert                       (25 calls)
% 0.46/0.69  ;     0.008   4%   Process new row              (198 calls)
% 0.46/0.69  ;     0.149  75%   Resolution                   (144 calls)
% 0.46/0.69  ;     0.001   1%   Paramodulation               (72 calls)
% 0.46/0.69  ;     0.000   0%   Condensing                   (66 calls)
% 0.46/0.69  ;     0.003   2%   Forward subsumption          (66 calls)
% 0.46/0.69  ;     0.003   2%   Backward subsumption         (66 calls)
% 0.46/0.69  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.46/0.69  ;     0.001   1%   Forward simplification       (198 calls)
% 0.46/0.69  ;     0.001   1%   Backward simplification      (145 calls)
% 0.46/0.69  ;     0.000   0%   Ordering                     (29 calls)
% 0.46/0.69  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.69  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.69  ;     0.024  12%   Other
% 0.46/0.69  ;     0.199        Total
% 0.46/0.69  ;     0.200        Real time
% 0.46/0.69  ; 
% 0.46/0.69  ; Term-hash-array has 212 terms in all.
% 0.46/0.69  ; Feature-vector-row-index has 62 entries (66 at peak, 66 added, 4 deleted).
% 0.46/0.69  ; Feature-vector-row-index has 271 nodes (287 at peak, 287 added, 16 deleted).
% 0.46/0.69  ;  Retrieved 8 possibly forward subsuming rows in 66 calls.
% 0.46/0.69  ;  Retrieved 4 possibly backward subsumed rows in 66 calls.
% 0.46/0.69  ; Path-index has 201 entries (221 at peak, 222 added, 21 deleted).
% 0.46/0.69  ; Path-index has 355 nodes (373 at peak, 373 added, 18 deleted).
% 0.46/0.69  ; Trie-index has 201 entries (221 at peak, 222 added, 21 deleted).
% 0.46/0.69  ; Trie-index has 440 nodes (480 at peak, 482 added, 42 deleted).
% 0.46/0.69  ; Retrieved 55 generalization terms in 179 calls.
% 0.46/0.69  ; Retrieved 78 instance terms in 78 calls.
% 0.46/0.69  ; Retrieved 154,049 unifiable terms in 34,276 calls.
% 0.46/0.69  ; 
% 0.46/0.69  ; The agenda of backward simplifiable rows to process has 13 entries:
% 0.46/0.69  ;    13 with value 0
% 0.46/0.69  ; The agenda of rows to process has 17 entries:
% 0.46/0.69  ;    17 with value 7
% 0.46/0.69  ; The agenda of rows to give has 60 entries:
% 0.46/0.69  ;    17 with value (4 6)          11 with value (4 10)           2 with value (4 13)
% 0.46/0.69  ;     6 with value (4 7)           1 with value (4 11)           4 with value (4 14)
% 0.46/0.69  ;     4 with value (4 8)           2 with value (4 12)           4 with value (4 15)
% 0.46/0.69  ;     9 with value (4 9)
% 0.46/0.69  Evaluation took:
% 0.46/0.69    0.201 seconds of real time
% 0.46/0.69    0.188118 seconds of user run time
% 0.46/0.69    0.012984 seconds of system run time
% 0.46/0.69    [Run times include 0.005 seconds GC run time.]
% 0.46/0.69    0 calls to %EVAL
% 0.46/0.69    0 page faults and
% 0.46/0.69    16,431,632 bytes consed.
% 0.46/0.69  :PROOF-FOUND
% 0.46/0.69  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T18:44:21
% 0.46/0.69  :PROOF-FOUND
% 0.46/0.69  * 
%------------------------------------------------------------------------------