TSTP Solution File: KRS115+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS115+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 03:28:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   31 (  16 unt;   0 nHn;  30 RR)
%            Number of literals    :   53 (   7 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   29 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( X != Y
    | ~ cp2xcomp(X)
    | cp2xcomp(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2xcomp_substitution_1) ).

cnf(17,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

cnf(21,axiom,
    ( ~ cUnsatisfiable(X)
    | rf2(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(22,axiom,
    ( ~ cUnsatisfiable(X)
    | cp2('SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(23,axiom,
    ( ~ cUnsatisfiable(X)
    | rf1(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(24,axiom,
    ( ~ cUnsatisfiable(X)
    | cp1('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(25,axiom,
    ( ~ cUnsatisfiable(X)
    | rr(X,'SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(28,axiom,
    ( ~ cp1(X)
    | cp2xcomp(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(29,axiom,
    ( ~ cp2(X)
    | ~ ra_Px1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

cnf(31,axiom,
    ( ~ cp2xcomp(X)
    | ra_Px1(X,'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(33,axiom,
    ( ~ cowlThing(X)
    | ~ rf1(X,Y)
    | ~ rf1(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

cnf(34,plain,
    ( ~ rf1(X,Y)
    | ~ rf1(X,Z)
    | Y = Z ),
    inference('REWRITE',[status(thm)],[33,17]) ).

cnf(35,axiom,
    ( ~ cowlThing(X)
    | ~ rf2(X,Y)
    | ~ rf2(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

cnf(36,plain,
    ( ~ rf2(X,Y)
    | ~ rf2(X,Z)
    | Y = Z ),
    inference('REWRITE',[status(thm)],[35,17]) ).

cnf(37,axiom,
    cUnsatisfiable(i2003_11_14_17_21_30578),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

cnf(38,axiom,
    ( ~ rr(X,Y)
    | rf2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

cnf(39,axiom,
    ( ~ rr(X,Y)
    | rf1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

cnf(40,plain,
    cp2('SKOLEMAAAV1'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[22,37]) ).

cnf(41,plain,
    cp1('SKOLEMAAAV2'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[24,37]) ).

cnf(42,plain,
    rf2(i2003_11_14_17_21_30578,'SKOLEMAAAV1'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[21,37]) ).

cnf(43,plain,
    rf1(i2003_11_14_17_21_30578,'SKOLEMAAAV2'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[23,37]) ).

cnf(44,plain,
    rr(i2003_11_14_17_21_30578,'SKOLEMAAAV3'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[25,37]) ).

cnf(46,plain,
    ~ ra_Px1('SKOLEMAAAV1'(i2003_11_14_17_21_30578),X),
    inference('UR-RESOLVE',[status(thm)],[29,40]) ).

cnf(47,plain,
    cp2xcomp('SKOLEMAAAV2'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[28,41]) ).

cnf(48,plain,
    rf1(i2003_11_14_17_21_30578,'SKOLEMAAAV3'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[39,44]) ).

cnf(49,plain,
    rf2(i2003_11_14_17_21_30578,'SKOLEMAAAV3'(i2003_11_14_17_21_30578)),
    inference('HYPERRESOLVE',[status(thm)],[38,44]) ).

cnf(52,plain,
    ~ cp2xcomp('SKOLEMAAAV1'(i2003_11_14_17_21_30578)),
    inference('UR-RESOLVE',[status(thm)],[31,46]) ).

cnf(53,plain,
    'SKOLEMAAAV2'(i2003_11_14_17_21_30578) = 'SKOLEMAAAV3'(i2003_11_14_17_21_30578),
    inference('HYPERRESOLVE',[status(thm)],[34,48,43]) ).

cnf(55,plain,
    rf2(i2003_11_14_17_21_30578,'SKOLEMAAAV2'(i2003_11_14_17_21_30578)),
    inference('REWRITE',[status(thm)],[49,53,theory(equality)]) ).

cnf(57,plain,
    'SKOLEMAAAV2'(i2003_11_14_17_21_30578) != 'SKOLEMAAAV1'(i2003_11_14_17_21_30578),
    inference('UR-RESOLVE',[status(thm)],[6,52,47]) ).

cnf(58,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[36,55,42]),57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS115+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n029.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 : Tue Jun  7 15:50:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 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  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T15:50:35
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-07T15:50:35
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       145 formulas have been input or derived (from 47 formulas).
% 0.20/0.53  ;        58 (40%) were retained.  Of these,
% 0.20/0.53  ;            8 (14%) were simplified or subsumed later,
% 0.20/0.53  ;           50 (86%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.006  15%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.001   2%   Assert                       (27 calls)
% 0.20/0.53  ;     0.001   2%   Process new row              (98 calls)
% 0.20/0.53  ;     0.004  10%   Resolution                   (92 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (46 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.53  ;     0.001   2%   Condensing                   (39 calls)
% 0.20/0.53  ;     0.001   2%   Forward subsumption          (39 calls)
% 0.20/0.53  ;     0.001   2%   Backward subsumption         (35 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 0.20/0.53  ;     0.003   8%   Forward simplification       (91 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (55 calls)
% 0.20/0.53  ;     0.001   2%   Ordering                     (10 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.021  52%   Other
% 0.20/0.53  ;     0.040        Total
% 0.20/0.53  ;     0.044        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 73 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 33 entries (33 at peak, 35 added, 2 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 63 nodes (63 at peak, 66 added, 3 deleted).
% 0.20/0.53  ;  Retrieved 10 possibly forward subsuming rows in 39 calls.
% 0.20/0.53  ;  Retrieved 6 possibly backward subsumed rows in 35 calls.
% 0.20/0.53  ; Path-index has 69 entries (69 at peak, 74 added, 5 deleted).
% 0.20/0.53  ; Path-index has 101 nodes (101 at peak, 105 added, 4 deleted).
% 0.20/0.53  ; Trie-index has 69 entries (69 at peak, 74 added, 5 deleted).
% 0.20/0.53  ; Trie-index has 96 nodes (96 at peak, 103 added, 7 deleted).
% 0.20/0.53  ; Retrieved 34 generalization terms in 48 calls.
% 0.20/0.53  ; Retrieved 21 instance terms in 19 calls.
% 0.20/0.53  ; Retrieved 969 unifiable terms in 382 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 7 entries:
% 0.20/0.53  ;     7 with value 10
% 0.20/0.53  ; The agenda of rows to give has 5 entries:
% 0.20/0.53  ;     1 with value (4 9)           2 with value (4 11)           1 with value (4 12)
% 0.20/0.53  ;     1 with value (4 10)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.044 seconds of real time
% 0.20/0.53    0.035934 seconds of user run time
% 0.20/0.53    0.008106 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,598,648 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T15:50:35
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------