TSTP Solution File: NUM578+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM578+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 : Mon Jul 18 14:11:52 EDT 2022

% Result   : Theorem 0.39s 0.61s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   2 nHn;   9 RR)
%            Number of literals    :   15 (   4 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(161,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).

cnf(162,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).

cnf(163,hypothesis,
    ( xi = xj
    | sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856_02) ).

cnf(165,negated_conjecture,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X),Y)
    | szmzizndt0(sdtlpdtrp0(xN,Y)) != szmzizndt0(sdtlpdtrp0(xN,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(166,negated_conjecture,
    xi != xj,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(167,negated_conjecture,
    szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(168,plain,
    ( sdtlseqdt0(szszuzczcdt0(xj),xi)
    | sdtlseqdt0(szszuzczcdt0(xi),xj) ),
    inference('REWRITE',[status(thm)],[163,166]) ).

cnf(330,plain,
    sdtlseqdt0(szszuzczcdt0(xi),xj),
    inference('HYPERRESOLVE',[status(thm)],[165,162,161,168,167]) ).

cnf(334,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[165,161,162,167]),330]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM578+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n013.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 : Wed Jul  6 09:08:29 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.48  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/sandbox/benchmark/theBenchmark.p 2022-07-06T09:08:29
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-06T09:08:29
% 0.39/0.61  
% 0.39/0.61  
% 0.39/0.61  #||
% 0.39/0.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.62  % SZS output start Refutation
% See solution above
% 0.39/0.62  ||#
% 0.39/0.62  
% 0.39/0.62  ; Summary of computation:
% 0.39/0.62  ;       501 formulas have been input or derived (from 127 formulas).
% 0.39/0.62  ;       334 (67%) were retained.  Of these,
% 0.39/0.62  ;            4 ( 1%) were simplified or subsumed later,
% 0.39/0.62  ;          330 (99%) are still being kept.
% 0.39/0.62  ; 
% 0.39/0.62  ; Run time in seconds excluding printing time:
% 0.39/0.62  ;     0.022  16%   Read assertion file          (1 call)
% 0.39/0.62  ;     0.007   5%   Assert                       (86 calls)
% 0.39/0.62  ;     0.031  22%   Process new row              (479 calls)
% 0.39/0.62  ;     0.032  23%   Resolution                   (252 calls)
% 0.39/0.62  ;     0.002   1%   Paramodulation               (126 calls)
% 0.39/0.62  ;     0.000   0%   Factoring                    (1 call)
% 0.39/0.62  ;     0.003   2%   Condensing                   (202 calls)
% 0.39/0.62  ;     0.002   1%   Forward subsumption          (202 calls)
% 0.39/0.62  ;     0.005   4%   Backward subsumption         (196 calls)
% 0.39/0.62  ;     0.000   0%   Clause clause subsumption    (51 calls)
% 0.39/0.62  ;     0.005   4%   Forward simplification       (479 calls)
% 0.39/0.62  ;     0.001   1%   Backward simplification      (334 calls)
% 0.39/0.62  ;     0.000   0%   Ordering                     (156 calls)
% 0.39/0.62  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.39/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.39/0.62  ;     0.026  19%   Other
% 0.39/0.62  ;     0.138        Total
% 0.39/0.62  ;     0.139        Real time
% 0.39/0.62  ; 
% 0.39/0.62  ; Term-hash-array has 543 terms in all.
% 0.39/0.62  ; Feature-vector-row-index has 192 entries (195 at peak, 196 added, 4 deleted).
% 0.39/0.62  ; Feature-vector-row-index has 1,097 nodes (1,108 at peak, 1,119 added, 22 deleted).
% 0.39/0.62  ;  Retrieved 75 possibly forward subsuming rows in 202 calls.
% 0.39/0.62  ;  Retrieved 18 possibly backward subsumed rows in 196 calls.
% 0.39/0.62  ; Path-index has 552 entries (552 at peak, 558 added, 6 deleted).
% 0.39/0.62  ; Path-index has 1,118 nodes (1,119 at peak, 1,125 added, 7 deleted).
% 0.39/0.62  ; Trie-index has 552 entries (552 at peak, 558 added, 6 deleted).
% 0.39/0.62  ; Trie-index has 1,129 nodes (1,129 at peak, 1,137 added, 8 deleted).
% 0.39/0.62  ; Retrieved 207 generalization terms in 979 calls.
% 0.39/0.62  ; Retrieved 137 instance terms in 137 calls.
% 0.39/0.62  ; Retrieved 56,606 unifiable terms in 3,806 calls.
% 0.39/0.62  ; 
% 0.39/0.62  ; The agenda of rows to process has 7 entries:
% 0.39/0.62  ;     2 with value 7               3 with value 25               2 with value 27
% 0.39/0.62  ; The agenda of input rows to give has 41 entries:
% 0.39/0.62  ;     1 with value 27              3 with value 33               3 with value 41
% 0.39/0.62  ;     6 with value 28              2 with value 34               1 with value 42
% 0.39/0.62  ;     2 with value 29              4 with value 35               3 with value 43
% 0.39/0.62  ;     3 with value 30              1 with value 36               1 with value 44
% 0.39/0.62  ;     4 with value 31              2 with value 39               1 with value 47
% 0.39/0.62  ;     2 with value 32              1 with value 40               1 with value 56
% 0.39/0.62  ; The agenda of rows to give has 163 entries:
% 0.39/0.62  ;     9 with value (4 4)          24 with value (4 11)           2 with value (4 18)
% 0.39/0.62  ;    18 with value (4 5)           3 with value (4 12)           1 with value (4 19)
% 0.39/0.62  ;    11 with value (4 6)           4 with value (4 13)           2 with value (4 20)
% 0.39/0.62  ;    52 with value (4 7)           1 with value (4 14)           2 with value (4 21)
% 0.39/0.62  ;     6 with value (4 8)           8 with value (4 15)           1 with value (4 24)
% 0.39/0.62  ;    14 with value (4 9)           2 with value (4 17)           1 with value (4 28)
% 0.39/0.62  ;     2 with value (4 10)
% 0.39/0.62  Evaluation took:
% 0.39/0.62    0.139 seconds of real time
% 0.39/0.62    0.129796 seconds of user run time
% 0.39/0.62    0.010061 seconds of system run time
% 0.39/0.62    0 calls to %EVAL
% 0.39/0.62    0 page faults and
% 0.39/0.62    7,214,824 bytes consed.
% 0.39/0.62  :PROOF-FOUND
% 0.39/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T09:08:30
% 0.39/0.62  :PROOF-FOUND
% 0.39/0.62  * 
%------------------------------------------------------------------------------