TSTP Solution File: LCL674+1.010 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 : Sun Jul 17 14:25:01 EDT 2022

% Result   : Theorem 0.46s 0.69s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   31 (  18 unt;   7 nHn;  30 RR)
%            Number of literals    :   67 (   0 equ;  35 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    r1(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

cnf(2,axiom,
    ( ~ r1(X,Y)
    | ~ r1(Y,Z)
    | r1(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

cnf(3,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | p5(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(50,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | r1(X,'SKOLEMAAAV14'(X))
    | p104(X)
    | ~ p103(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(51,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ p5('SKOLEMAAAV14'(X))
    | p104(X)
    | ~ p103(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(62,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | r1(X,'SKOLEMAAAV17'(X))
    | p103(X)
    | ~ p102(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(64,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ p104('SKOLEMAAAV17'(X))
    | p103(X)
    | ~ p102(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(65,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | p103('SKOLEMAAAV17'(X))
    | p103(X)
    | ~ p102(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(70,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | r1(X,'SKOLEMAAAV19'(X))
    | p102(X)
    | ~ p101(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(72,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ p103('SKOLEMAAAV19'(X))
    | p102(X)
    | ~ p101(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(73,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | p102('SKOLEMAAAV19'(X))
    | p102(X)
    | ~ p101(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(74,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | r1(X,'SKOLEMAAAV20'(X))
    | p101(X)
    | ~ p100(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(76,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ p102('SKOLEMAAAV20'(X))
    | p101(X)
    | ~ p100(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(77,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | p101('SKOLEMAAAV20'(X))
    | p101(X)
    | ~ p100(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(113,negated_conjecture,
    ~ p101('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(114,negated_conjecture,
    p100('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(118,plain,
    ~ p102('SKOLEMAAAV20'('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[76,1,113,114]) ).

cnf(119,plain,
    p101('SKOLEMAAAV20'('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[77,1,113,114]) ).

cnf(123,plain,
    r1('SKOLEMAAAV1','SKOLEMAAAV20'('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[74,1,113,114]) ).

cnf(132,plain,
    p102('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[73,123,118,119]) ).

cnf(133,plain,
    ~ p103('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[72,123,118,119]) ).

cnf(138,plain,
    r1('SKOLEMAAAV20'('SKOLEMAAAV1'),'SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[70,123,118,119]) ).

cnf(166,plain,
    r1('SKOLEMAAAV1','SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))),
    inference('HYPERRESOLVE',[status(thm)],[2,138,123]) ).

cnf(184,plain,
    p103('SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1')))),
    inference('UR-RESOLVE',[status(thm)],[65,166,133,132]) ).

cnf(185,plain,
    ~ p104('SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1')))),
    inference('UR-RESOLVE',[status(thm)],[64,166,133,132]) ).

cnf(192,plain,
    r1('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1')),'SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1')))),
    inference('UR-RESOLVE',[status(thm)],[62,166,133,132]) ).

cnf(277,plain,
    r1('SKOLEMAAAV1','SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1')))),
    inference('HYPERRESOLVE',[status(thm)],[2,192,166]) ).

cnf(292,plain,
    ~ p5('SKOLEMAAAV14'('SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))))),
    inference('UR-RESOLVE',[status(thm)],[51,277,185,184]) ).

cnf(298,plain,
    r1('SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))),'SKOLEMAAAV14'('SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))))),
    inference('UR-RESOLVE',[status(thm)],[50,277,185,184]) ).

cnf(545,plain,
    ~ r1('SKOLEMAAAV1','SKOLEMAAAV14'('SKOLEMAAAV17'('SKOLEMAAAV19'('SKOLEMAAAV20'('SKOLEMAAAV1'))))),
    inference('UR-RESOLVE',[status(thm)],[3,292]) ).

cnf(607,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,545,277]),298]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 02:30:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T02:30:06
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-04T02:30:06
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.18/0.50  WARNING:
% 0.18/0.50     |p111| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 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  ;      1802 formulas have been input or derived (from 506 formulas).
% 0.46/0.69  ;       607 (34%) were retained.  Of these,
% 0.46/0.69  ;          607 (100%) are still being kept.
% 0.46/0.69  ; 
% 0.46/0.69  ; Run time in seconds excluding printing time:
% 0.46/0.69  ;     0.012   5%   Read assertion file          (1 call)
% 0.46/0.69  ;     0.012   5%   Assert                       (3 calls)
% 0.46/0.69  ;     0.035  16%   Process new row              (1,497 calls)
% 0.46/0.69  ;     0.109  49%   Resolution                   (1,010 calls)
% 0.46/0.69  ;     0.002   1%   Paramodulation               (505 calls)
% 0.46/0.69  ;     0.003   1%   Condensing                   (112 calls)
% 0.46/0.69  ;     0.002   1%   Forward subsumption          (112 calls)
% 0.46/0.69  ;     0.000   0%   Backward subsumption         (111 calls)
% 0.46/0.69  ;     0.002   1%   Clause clause subsumption    (41 calls)
% 0.46/0.69  ;     0.010   4%   Forward simplification       (1,494 calls)
% 0.46/0.69  ;     0.002   1%   Backward simplification      (607 calls)
% 0.46/0.69  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.69  ;     0.001   0%   Purity testing               (1 call)
% 0.46/0.69  ;     0.034  15%   Other
% 0.46/0.69  ;     0.224        Total
% 0.46/0.69  ;     0.228        Real time
% 0.46/0.69  ; 
% 0.46/0.69  ; Term-hash-array has 671 terms in all.
% 0.46/0.69  ; Feature-vector-row-index has 111 entries (111 at peak, 111 added, 0 deleted).
% 0.46/0.69  ; Feature-vector-row-index has 346 nodes (346 at peak, 346 added, 0 deleted).
% 0.46/0.69  ;  Retrieved 26 possibly forward subsuming rows in 112 calls.
% 0.46/0.69  ;  Retrieved 32 possibly backward subsumed rows in 111 calls.
% 0.46/0.69  ; Path-index has 672 entries (672 at peak, 672 added, 0 deleted).
% 0.46/0.69  ; Path-index has 1,059 nodes (1,059 at peak, 1,059 added, 0 deleted).
% 0.46/0.69  ; Trie-index has 672 entries (672 at peak, 672 added, 0 deleted).
% 0.46/0.69  ; Trie-index has 1,642 nodes (1,642 at peak, 1,642 added, 0 deleted).
% 0.46/0.69  ; Retrieved 1,426 generalization terms in 1,767 calls.
% 0.46/0.69  ; Retrieved 495 instance terms in 495 calls.
% 0.46/0.69  ; Retrieved 102,967 unifiable terms in 29,922 calls.
% 0.46/0.69  ; 
% 0.46/0.69  ; The agenda of rows to process has 7 entries:
% 0.46/0.69  ;     7 with value 23
% 0.46/0.69  ; The agenda of rows to give has 101 entries:
% 0.46/0.69  ;    23 with value (4 19)         42 with value (4 21)          12 with value (4 22)
% 0.46/0.69  ;    24 with value (4 20)
% 0.46/0.69  Evaluation took:
% 0.46/0.69    0.228 seconds of real time
% 0.46/0.69    0.205163 seconds of user run time
% 0.46/0.69    0.022899 seconds of system run time
% 0.46/0.69    [Run times include 0.007 seconds GC run time.]
% 0.46/0.69    0 calls to %EVAL
% 0.46/0.69    0 page faults and
% 0.46/0.69    16,690,144 bytes consed.
% 0.46/0.69  :PROOF-FOUND
% 0.46/0.69  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T02:30:06
% 0.46/0.69  :PROOF-FOUND
% 0.46/0.69  * 
%------------------------------------------------------------------------------