TSTP Solution File: COM020+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 18.72s 18.99s
% Output   : Refutation 18.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   21 (  16 unt;   1 nHn;  21 RR)
%            Number of literals    :   46 (   3 equ;  26 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   14 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ aElement0(U)
    | ~ sdtmndtasgtdt0(X,Y,Z)
    | ~ sdtmndtasgtdt0(Z,Y,U)
    | sdtmndtasgtdt0(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).

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

cnf(53,hypothesis,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aReductOfIn0(Y,X,xR)
    | iLess0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).

cnf(57,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

cnf(58,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

cnf(329,hypothesis,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtasgtdt0(X,xR,Y)
    | ~ sdtmndtasgtdt0(X,xR,Z)
    | ~ iLess0(X,xa)
    | sdtmndtasgtdt0(Y,xR,'SKOLEMAAAV17'(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

cnf(331,hypothesis,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtasgtdt0(X,xR,Y)
    | ~ sdtmndtasgtdt0(X,xR,Z)
    | ~ iLess0(X,xa)
    | Z = 'SKOLEMAAAV17'(Y,Z)
    | aReductOfIn0('SKOLEMAAAV17'(Y,Z),Z,xR)
    | aReductOfIn0('SKOLEMAAAV19'(Z,Y),Z,xR) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

cnf(343,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).

cnf(344,hypothesis,
    aReductOfIn0(xu,xa,xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).

cnf(349,hypothesis,
    sdtmndtasgtdt0(xu,xR,xb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).

cnf(357,hypothesis,
    aElement0(xw),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

cnf(362,hypothesis,
    sdtmndtasgtdt0(xu,xR,xw),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

cnf(368,hypothesis,
    aElement0(xd),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

cnf(373,hypothesis,
    sdtmndtasgtdt0(xw,xR,xd),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

cnf(374,hypothesis,
    ~ aReductOfIn0(X,xd,xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

cnf(388,negated_conjecture,
    ( ~ aElement0(X)
    | ~ sdtmndtasgtdt0(xb,xR,X)
    | xd != X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(399,plain,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference('UR-RESOLVE',[status(thm)],[388,368,theory(equality)]) ).

cnf(403,plain,
    iLess0(xu,xa),
    inference('HYPERRESOLVE',[status(thm)],[53,57,343,344]) ).

cnf(486,plain,
    sdtmndtasgtdt0(xu,xR,xd),
    inference('HYPERRESOLVE',[status(thm)],[11,343,40,357,368,362,373]) ).

cnf(1204,plain,
    xd = 'SKOLEMAAAV17'(xb,xd),
    inference('UR-RESOLVE',[status(thm)],[331,486,343,58,368,349,403,374,374]) ).

cnf(1208,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[329,486,343,58,368,349,403]),399,1204,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 16 17:49:11 EDT 2022
% 0.19/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:49:11
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-16T17:49:11
% 18.72/18.99  
% 18.72/18.99  
% 18.72/18.99  #||
% 18.72/18.99  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.72/18.99  % SZS output start Refutation
% See solution above
% 18.72/18.99  ||#
% 18.72/18.99  
% 18.72/18.99  ; Summary of computation:
% 18.72/18.99  ;      3760 formulas have been input or derived (from 421 formulas).
% 18.72/18.99  ;      1208 (32%) were retained.  Of these,
% 18.72/18.99  ;          185 (15%) were simplified or subsumed later,
% 18.72/18.99  ;         1023 (85%) are still being kept.
% 18.72/18.99  ; 
% 18.72/18.99  ; Run time in seconds excluding printing time:
% 18.72/18.99  ;     0.012   0%   Read assertion file          (1 call)
% 18.72/18.99  ;     0.015   0%   Assert                       (24 calls)
% 18.72/18.99  ;     0.092   0%   Process new row              (3,403 calls)
% 18.72/18.99  ;    17.992  97%   Resolution                   (840 calls)
% 18.72/18.99  ;     0.004   0%   Paramodulation               (420 calls)
% 18.72/18.99  ;     0.000   0%   Factoring                    (26 calls)
% 18.72/18.99  ;     0.015   0%   Condensing                   (2,354 calls)
% 18.72/18.99  ;     0.166   1%   Forward subsumption          (2,354 calls)
% 18.72/18.99  ;     0.025   0%   Backward subsumption         (1,041 calls)
% 18.72/18.99  ;     0.026   0%   Clause clause subsumption    (5,020 calls)
% 18.72/18.99  ;     0.071   0%   Forward simplification       (3,403 calls)
% 18.72/18.99  ;     0.005   0%   Backward simplification      (1,208 calls)
% 18.72/18.99  ;     0.007   0%   Ordering                     (3,183 calls)
% 18.72/18.99  ;     0.000   0%   Sortal reasoning             (32 calls)
% 18.72/18.99  ;     0.002   0%   Purity testing               (1 call)
% 18.72/18.99  ;     0.032   0%   Other
% 18.72/18.99  ;    18.464        Total
% 18.72/18.99  ;    18.508        Real time
% 18.72/18.99  ; 
% 18.72/18.99  ; Term-hash-array has 1,231 terms in all.
% 18.72/18.99  ; Feature-vector-row-index has 867 entries (949 at peak, 1,041 added, 174 deleted).
% 18.72/18.99  ; Feature-vector-row-index has 3,472 nodes (4,014 at peak, 4,436 added, 964 deleted).
% 18.72/18.99  ;  Retrieved 9,922 possibly forward subsuming rows in 2,354 calls.
% 18.72/18.99  ;  Retrieved 1,317 possibly backward subsumed rows in 1,041 calls.
% 18.72/18.99  ; Path-index has 1,118 entries (1,189 at peak, 1,318 added, 200 deleted).
% 18.72/18.99  ; Path-index has 872 nodes (880 at peak, 902 added, 30 deleted).
% 18.72/18.99  ; Trie-index has 1,118 entries (1,189 at peak, 1,318 added, 200 deleted).
% 18.72/18.99  ; Trie-index has 2,441 nodes (2,589 at peak, 2,806 added, 365 deleted).
% 18.72/18.99  ; Retrieved 1,491 generalization terms in 11,913 calls.
% 18.72/18.99  ; Retrieved 166 instance terms in 166 calls.
% 18.72/18.99  ; Retrieved 38,061,890 unifiable terms in 2,356,372 calls.
% 18.72/18.99  ; 
% 18.72/18.99  ; The agenda of rows to process has 218 entries:
% 18.72/18.99  ;    32 with value 10             10 with value 21               8 with value 30
% 18.72/18.99  ;     1 with value 11             20 with value 23               8 with value 31
% 18.72/18.99  ;     4 with value 12              8 with value 24               8 with value 32
% 18.72/18.99  ;     8 with value 14             20 with value 25              12 with value 34
% 18.72/18.99  ;     5 with value 15             28 with value 27               4 with value 36
% 18.72/18.99  ;    28 with value 17              1 with value 28               4 with value 38
% 18.72/18.99  ;     1 with value 19              8 with value 29
% 18.72/18.99  ; The agenda of rows to give has 602 entries:
% 18.72/18.99  ;     6 with value (4 6)          16 with value (4 16)           4 with value (4 28)
% 18.72/18.99  ;    17 with value (4 7)          45 with value (4 17)          28 with value (4 29)
% 18.72/18.99  ;    21 with value (4 8)          40 with value (4 19)          12 with value (4 30)
% 18.72/18.99  ;    34 with value (4 9)           4 with value (4 21)           8 with value (4 31)
% 18.72/18.99  ;    48 with value (4 10)         16 with value (4 22)           4 with value (4 32)
% 18.72/18.99  ;    12 with value (4 11)         46 with value (4 23)           8 with value (4 33)
% 18.72/18.99  ;    20 with value (4 12)         16 with value (4 24)           8 with value (4 36)
% 18.72/18.99  ;    23 with value (4 13)         54 with value (4 25)           8 with value (4 38)
% 18.72/18.99  ;    13 with value (4 14)          8 with value (4 26)           8 with value (4 40)
% 18.72/18.99  ;    21 with value (4 15)         54 with value (4 27)
% 18.72/18.99  Evaluation took:
% 18.72/18.99    18.509 seconds of real time
% 18.72/18.99    18.34708 seconds of user run time
% 18.72/18.99    0.118969 seconds of system run time
% 18.72/18.99    [Run times include 0.306 seconds GC run time.]
% 18.72/18.99    0 calls to %EVAL
% 18.72/18.99    0 page faults and
% 18.72/18.99    1,249,510,672 bytes consed.
% 18.72/18.99  :PROOF-FOUND
% 18.72/18.99  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:49:30
% 18.72/18.99  :PROOF-FOUND
% 18.72/18.99  * 
%------------------------------------------------------------------------------