TSTP Solution File: LCL656+1.005 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL656+1.005 : 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 : Sun Jul 17 14:24:30 EDT 2022

% Result   : Theorem 0.65s 0.82s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (   9 unt;   3 nHn;  14 RR)
%            Number of literals    :   55 (   0 equ;  40 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   31 (   0 sgn)

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

cnf(2,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ r1(U,V)
    | p3(V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(25,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ r1(U,V)
    | r1(V,'SKOLEMAAAV8'(V))
    | p102(V)
    | ~ p101(V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(26,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ r1(U,V)
    | ~ p3('SKOLEMAAAV8'(V))
    | p102(V)
    | ~ p101(V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(33,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ r1(U,V)
    | r1(V,'SKOLEMAAAV10'(V))
    | p101(V)
    | ~ p100(V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(35,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ r1(U,V)
    | ~ p102('SKOLEMAAAV10'(V))
    | p101(V)
    | ~ p100(V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(36,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | ~ r1(X,Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ r1(U,V)
    | p101('SKOLEMAAAV10'(V))
    | p101(V)
    | ~ p100(V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(57,negated_conjecture,
    ~ p101('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(58,negated_conjecture,
    p100('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(62,plain,
    ~ p102('SKOLEMAAAV10'('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[35,1,1,1,1,1,57,58]) ).

cnf(63,plain,
    p101('SKOLEMAAAV10'('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[36,1,1,1,1,1,57,58]) ).

cnf(67,plain,
    r1('SKOLEMAAAV1','SKOLEMAAAV10'('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[33,1,1,1,1,1,57,58]) ).

cnf(81,plain,
    ~ p3('SKOLEMAAAV8'('SKOLEMAAAV10'('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[26,67,1,1,1,1,62,63]) ).

cnf(83,plain,
    r1('SKOLEMAAAV10'('SKOLEMAAAV1'),'SKOLEMAAAV8'('SKOLEMAAAV10'('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[25,67,1,1,1,1,62,63]) ).

cnf(101,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,81,67,1,1,1]),83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n013.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul  4 18:50:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T18:50:59
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T18:50:59
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?Y is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.48  WARNING: In quantification, variable ?X is being rebound.
% 0.19/0.49  WARNING:
% 0.19/0.49     |p106| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.65/0.82  
% 0.65/0.82  
% 0.65/0.82  #||
% 0.65/0.82  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.82  % SZS output start Refutation
% See solution above
% 0.65/0.82  ||#
% 0.65/0.82  
% 0.65/0.82  ; Summary of computation:
% 0.65/0.82  ;       396 formulas have been input or derived (from 87 formulas).
% 0.65/0.82  ;       101 (26%) were retained.  Of these,
% 0.65/0.82  ;          101 (100%) are still being kept.
% 0.65/0.82  ; 
% 0.65/0.82  ; Run time in seconds excluding printing time:
% 0.65/0.82  ;     0.008   2%   Read assertion file          (1 call)
% 0.65/0.82  ;     0.007   2%   Assert                       (2 calls)
% 0.65/0.82  ;     0.006   2%   Process new row              (301 calls)
% 0.65/0.82  ;     0.300  84%   Resolution                   (172 calls)
% 0.65/0.82  ;     0.001   0%   Paramodulation               (86 calls)
% 0.65/0.82  ;     0.002   1%   Condensing                   (56 calls)
% 0.65/0.82  ;     0.001   0%   Forward subsumption          (56 calls)
% 0.65/0.82  ;     0.001   0%   Backward subsumption         (55 calls)
% 0.65/0.82  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.65/0.82  ;     0.007   2%   Forward simplification       (298 calls)
% 0.65/0.82  ;     0.001   0%   Backward simplification      (101 calls)
% 0.65/0.82  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.65/0.82  ;     0.000   0%   Purity testing               (1 call)
% 0.65/0.82  ;     0.022   6%   Other
% 0.65/0.82  ;     0.356        Total
% 0.65/0.82  ;     0.358        Real time
% 0.65/0.82  ; 
% 0.65/0.82  ; Term-hash-array has 129 terms in all.
% 0.65/0.82  ; Feature-vector-row-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.65/0.82  ; Feature-vector-row-index has 173 nodes (173 at peak, 173 added, 0 deleted).
% 0.65/0.82  ;  Retrieved 18 possibly forward subsuming rows in 56 calls.
% 0.65/0.82  ;  Retrieved 15 possibly backward subsumed rows in 55 calls.
% 0.65/0.82  ; Path-index has 130 entries (130 at peak, 130 added, 0 deleted).
% 0.65/0.82  ; Path-index has 209 nodes (209 at peak, 209 added, 0 deleted).
% 0.65/0.82  ; Trie-index has 130 entries (130 at peak, 130 added, 0 deleted).
% 0.65/0.82  ; Trie-index has 221 nodes (221 at peak, 221 added, 0 deleted).
% 0.65/0.82  ; Retrieved 567 generalization terms in 600 calls.
% 0.65/0.82  ; Retrieved 45 instance terms in 45 calls.
% 0.65/0.82  ; Retrieved 430,633 unifiable terms in 74,807 calls.
% 0.65/0.82  ; 
% 0.65/0.82  ; The agenda of rows to process has 7 entries:
% 0.65/0.82  ;     7 with value 12
% 0.65/0.82  ; The agenda of rows to give has 14 entries:
% 0.65/0.82  ;     9 with value (4 9)           5 with value (4 11)
% 0.65/0.82  Evaluation took:
% 0.65/0.82    0.359 seconds of real time
% 0.65/0.82    0.34906 seconds of user run time
% 0.65/0.82    0.009803 seconds of system run time
% 0.65/0.82    [Run times include 0.006 seconds GC run time.]
% 0.65/0.82    0 calls to %EVAL
% 0.65/0.82    0 page faults and
% 0.65/0.82    27,491,936 bytes consed.
% 0.65/0.82  :PROOF-FOUND
% 0.65/0.82  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T18:51:00
% 0.65/0.82  :PROOF-FOUND
% 0.65/0.82  * 
%------------------------------------------------------------------------------