TSTP Solution File: NUM383+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:10:09 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   1 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ in(X,Y)
    | ~ in(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

cnf(11,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

cnf(13,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

cnf(14,axiom,
    ( ~ in(X,Y)
    | ~ element(Y,powerset(Z))
    | element(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

cnf(15,axiom,
    ( ~ in(X,Y)
    | ~ element(Y,powerset(Z))
    | ~ empty(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

cnf(18,negated_conjecture,
    in('SKOLEMAAAU12','SKOLEMAAAU13'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_ordinal1) ).

cnf(19,negated_conjecture,
    subset('SKOLEMAAAU13','SKOLEMAAAU12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_ordinal1) ).

cnf(29,plain,
    element('SKOLEMAAAU13',powerset('SKOLEMAAAU12')),
    inference('HYPERRESOLVE',[status(thm)],[13,19]) ).

cnf(37,plain,
    ~ empty('SKOLEMAAAU12'),
    inference('UR-RESOLVE',[status(thm)],[15,29,18]) ).

cnf(38,plain,
    element('SKOLEMAAAU12','SKOLEMAAAU12'),
    inference('HYPERRESOLVE',[status(thm)],[14,29,18]) ).

cnf(42,plain,
    in('SKOLEMAAAU12','SKOLEMAAAU12'),
    inference('UR-RESOLVE',[status(thm)],[11,38,37]) ).

cnf(53,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[1,42,42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n020.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 Jul  7 00:40:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.48  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-07T00:40:59
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-07T00:40:59
% 0.20/0.50  WARNING:
% 0.20/0.50     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       139 formulas have been input or derived (from 38 formulas).
% 0.20/0.52  ;        53 (38%) were retained.  Of these,
% 0.20/0.52  ;            3 ( 6%) were simplified or subsumed later,
% 0.20/0.52  ;           50 (94%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.004  11%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.002   6%   Assert                       (28 calls)
% 0.20/0.52  ;     0.003   9%   Process new row              (113 calls)
% 0.20/0.52  ;     0.004  11%   Resolution                   (74 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (37 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (13 calls)
% 0.20/0.52  ;     0.001   3%   Forward subsumption          (13 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.20/0.52  ;     0.001   3%   Forward simplification       (87 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (53 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (21 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.020  57%   Other
% 0.20/0.52  ;     0.035        Total
% 0.20/0.52  ;     0.037        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 71 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 2 possibly forward subsuming rows in 13 calls.
% 0.20/0.52  ;  Retrieved 2 possibly backward subsumed rows in 13 calls.
% 0.20/0.52  ; Path-index has 76 entries (76 at peak, 79 added, 3 deleted).
% 0.20/0.52  ; Path-index has 103 nodes (103 at peak, 106 added, 3 deleted).
% 0.20/0.52  ; Trie-index has 76 entries (76 at peak, 79 added, 3 deleted).
% 0.20/0.52  ; Trie-index has 119 nodes (119 at peak, 122 added, 3 deleted).
% 0.20/0.52  ; Retrieved 38 generalization terms in 83 calls.
% 0.20/0.52  ; Retrieved 42 instance terms in 39 calls.
% 0.20/0.52  ; Retrieved 601 unifiable terms in 276 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 4 entries:
% 0.20/0.52  ;     1 with value 7               2 with value 8                1 with value 10
% 0.20/0.52  ; The agenda of rows to give has 15 entries:
% 0.20/0.52  ;     7 with value (4 8)           1 with value (4 10)           2 with value (4 13)
% 0.20/0.52  ;     3 with value (4 9)           2 with value (4 12)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.037 seconds of real time
% 0.20/0.52    0.031521 seconds of user run time
% 0.20/0.52    0.006061 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,374,448 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T00:40:59
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------