TSTP Solution File: KRS077+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS077+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 03:28:30 EDT 2022

% Result   : Unsatisfiable 0.11s 0.39s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   29 (   3 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( X != Y
    | ~ rinvS(X,Z)
    | rinvS(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvS_substitution_1) ).

cnf(17,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rr(X,Y)
    | ~ rr(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(18,axiom,
    ( ~ cUnsatisfiable(X)
    | rr(X,'SKOLEMAAAQ1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(19,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rinvS('SKOLEMAAAQ1'(X),Y)
    | cp(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(20,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ cp(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(21,axiom,
    ( ~ cUnsatisfiable(X)
    | rs(X,'SKOLEMAAAQ2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(30,axiom,
    ( rinvS(X,Y)
    | ~ rs(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(31,axiom,
    cUnsatisfiable(i2003_11_14_17_19_09372),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

cnf(32,axiom,
    ( ~ rs(X,Y)
    | rr(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(33,plain,
    ~ cp(i2003_11_14_17_19_09372),
    inference('UR-RESOLVE',[status(thm)],[20,31]) ).

cnf(35,plain,
    rr(i2003_11_14_17_19_09372,'SKOLEMAAAQ1'(i2003_11_14_17_19_09372)),
    inference('HYPERRESOLVE',[status(thm)],[18,31]) ).

cnf(36,plain,
    rs(i2003_11_14_17_19_09372,'SKOLEMAAAQ2'(i2003_11_14_17_19_09372)),
    inference('HYPERRESOLVE',[status(thm)],[21,31]) ).

cnf(37,plain,
    ~ rinvS('SKOLEMAAAQ1'(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
    inference('UR-RESOLVE',[status(thm)],[19,33,31]) ).

cnf(40,plain,
    rinvS('SKOLEMAAAQ2'(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
    inference('HYPERRESOLVE',[status(thm)],[30,36]) ).

cnf(41,plain,
    rr(i2003_11_14_17_19_09372,'SKOLEMAAAQ2'(i2003_11_14_17_19_09372)),
    inference('HYPERRESOLVE',[status(thm)],[32,36]) ).

cnf(43,plain,
    'SKOLEMAAAQ2'(i2003_11_14_17_19_09372) != 'SKOLEMAAAQ1'(i2003_11_14_17_19_09372),
    inference('UR-RESOLVE',[status(thm)],[5,40,37]) ).

cnf(45,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,41,31,35]),43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : KRS077+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.08  % Command  : run-snark %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Tue Jun  7 13:13:20 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.11/0.35  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  * 
% 0.11/0.36  * 
% 0.11/0.36  #<PACKAGE "SNARK-USER">
% 0.11/0.36  * 
% 0.11/0.36  SNARK-TPTP-OPTIONS
% 0.11/0.36  * 
% 0.11/0.36  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.36   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.36   (USE-FACTORING :POS)
% 0.11/0.36   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.36   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.36   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.36   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.36   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.36   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.36   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.36   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.36   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.36   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.36  * 
% 0.11/0.36  "."
% 0.11/0.36  * 
% 0.11/0.36  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T13:13:20
% 0.11/0.36  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-07T13:13:20
% 0.11/0.39  
% 0.11/0.39  
% 0.11/0.39  #||
% 0.11/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39  % SZS output start Refutation
% See solution above
% 0.11/0.39  ||#
% 0.11/0.39  
% 0.11/0.39  ; Summary of computation:
% 0.11/0.39  ;        95 formulas have been input or derived (from 40 formulas).
% 0.11/0.39  ;        45 (47%) were retained.  Of these,
% 0.11/0.39  ;            2 ( 4%) were simplified or subsumed later,
% 0.11/0.39  ;           43 (96%) are still being kept.
% 0.11/0.39  ; 
% 0.11/0.39  ; Run time in seconds:
% 0.11/0.39  ;     0.002   8%   Read assertion file          (1 call)
% 0.11/0.39  ;     0.001   4%   Assert                       (18 calls)
% 0.11/0.39  ;     0.001   4%   Process new row              (67 calls)
% 0.11/0.39  ;     0.002   8%   Resolution                   (78 calls)
% 0.11/0.39  ;     0.000   0%   Paramodulation               (39 calls)
% 0.11/0.39  ;     0.000   0%   Factoring                    (1 call)
% 0.11/0.39  ;     0.000   0%   Condensing                   (30 calls)
% 0.11/0.39  ;     0.001   4%   Forward subsumption          (30 calls)
% 0.11/0.39  ;     0.001   4%   Backward subsumption         (29 calls)
% 0.11/0.39  ;     0.000   0%   Clause clause subsumption    (16 calls)
% 0.11/0.39  ;     0.001   4%   Forward simplification       (67 calls)
% 0.11/0.39  ;     0.000   0%   Backward simplification      (45 calls)
% 0.11/0.39  ;     0.000   0%   Ordering                     (10 calls)
% 0.11/0.39  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.11/0.39  ;     0.000   0%   Purity testing               (1 call)
% 0.11/0.39  ;     0.016  64%   Other
% 0.11/0.39  ;     0.025        Total
% 0.11/0.39  ;     0.026        Real time
% 0.11/0.39  ; 
% 0.11/0.39  ; Term-hash-array has 60 terms in all.
% 0.11/0.39  ; Feature-vector-row-index has 27 entries (27 at peak, 29 added, 2 deleted).
% 0.11/0.39  ; Feature-vector-row-index has 72 nodes (72 at peak, 78 added, 6 deleted).
% 0.11/0.39  ;  Retrieved 6 possibly forward subsuming rows in 30 calls.
% 0.11/0.39  ;  Retrieved 10 possibly backward subsumed rows in 29 calls.
% 0.11/0.39  ; Path-index has 59 entries (59 at peak, 61 added, 2 deleted).
% 0.11/0.39  ; Path-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.11/0.39  ; Trie-index has 59 entries (59 at peak, 61 added, 2 deleted).
% 0.11/0.39  ; Trie-index has 85 nodes (85 at peak, 85 added, 0 deleted).
% 0.11/0.39  ; Retrieved 23 generalization terms in 34 calls.
% 0.11/0.39  ; Retrieved 17 instance terms in 15 calls.
% 0.11/0.39  ; Retrieved 1,026 unifiable terms in 391 calls.
% 0.11/0.39  ; 
% 0.11/0.39  ; The agenda of rows to process has 9 entries:
% 0.11/0.39  ;     7 with value 10              2 with value 24
% 0.11/0.39  ; The agenda of rows to give has 3 entries:
% 0.11/0.39  ;     1 with value (4 7)           1 with value (4 9)            1 with value (4 10)
% 0.11/0.39  Evaluation took:
% 0.11/0.39    0.026 seconds of real time
% 0.11/0.39    0.022211 seconds of user run time
% 0.11/0.39    0.00382 seconds of system run time
% 0.11/0.39    0 calls to %EVAL
% 0.11/0.39    0 page faults and
% 0.11/0.39    2,694,024 bytes consed.
% 0.11/0.39  :PROOF-FOUND
% 0.11/0.39  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T13:13:20
% 0.11/0.39  :PROOF-FOUND
% 0.11/0.39  * 
%------------------------------------------------------------------------------