TSTP Solution File: SWV001-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 : Wed Jul 20 21:31:27 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   19 (   8 unt;   6 nHn;  17 RR)
%            Number of literals    :   36 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ q1(X,Y,Z)
    | ~ less_or_equalish(X,Y)
    | q2(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,axiom,
    ( ~ q1(X,Y,Z)
    | less_or_equalish(X,Y)
    | q3(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,axiom,
    ( ~ q2(X,Y,Z)
    | q4(X,Y,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_4,axiom,
    ( ~ q3(X,Y,Z)
    | q4(X,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(less_or_equal_reflexivity,axiom,
    less_or_equalish(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_reflexivity) ).

cnf(all_less_or_equal,axiom,
    ( less_or_equalish(X,Y)
    | less_or_equalish(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_less_or_equal) ).

cnf(clause_5,negated_conjecture,
    q1(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,negated_conjecture,
    ( ~ q4(a,b,X)
    | ~ less_or_equalish(a,X)
    | ~ less_or_equalish(b,X)
    | ~ less_or_equalish(X,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_7,negated_conjecture,
    ( ~ q4(a,b,X)
    | ~ less_or_equalish(a,X)
    | ~ less_or_equalish(b,X)
    | ~ less_or_equalish(X,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(17,plain,
    ( less_or_equalish(b,a)
    | q2(a,b,c) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_1,clause_5,all_less_or_equal]) ).

cnf(18,plain,
    ( less_or_equalish(a,b)
    | q3(a,b,c) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_2,clause_5]) ).

cnf(19,plain,
    ( less_or_equalish(b,a)
    | q4(a,b,b) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_3,17]) ).

cnf(20,plain,
    ( less_or_equalish(a,b)
    | q4(a,b,a) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_4,18]) ).

cnf(21,plain,
    less_or_equalish(b,a),
    inference('HYPERRESOLVE',[status(thm)],[clause_7,19,all_less_or_equal,all_less_or_equal,all_less_or_equal]) ).

cnf(22,plain,
    ~ q4(a,b,a),
    inference('UR-RESOLVE',[status(thm)],[clause_6,21,less_or_equal_reflexivity,less_or_equal_reflexivity]) ).

cnf(23,plain,
    less_or_equalish(a,b),
    inference('REWRITE',[status(thm)],[20,22]) ).

cnf(26,plain,
    q2(a,b,c),
    inference('HYPERRESOLVE',[status(thm)],[clause_1,23,clause_5]) ).

cnf(28,plain,
    ~ q4(a,b,b),
    inference('UR-RESOLVE',[status(thm)],[clause_7,23,less_or_equal_reflexivity,less_or_equal_reflexivity]) ).

cnf(30,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_3,26]),28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 23:41:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-14T23:41:06
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T23:41:06
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % 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  ;       143 formulas have been input or derived (from 23 formulas).
% 0.20/0.53  ;        30 (21%) were retained.  Of these,
% 0.20/0.53  ;            4 (13%) were simplified or subsumed later,
% 0.20/0.53  ;           26 (87%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.003   8%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.000   0%   Assert                       (14 calls)
% 0.20/0.53  ;     0.003   8%   Process new row              (83 calls)
% 0.20/0.53  ;     0.003   8%   Resolution                   (44 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (22 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (4 calls)
% 0.20/0.53  ;     0.000   0%   Condensing                   (38 calls)
% 0.20/0.53  ;     0.001   3%   Forward subsumption          (38 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.20/0.53  ;     0.004  11%   Clause clause subsumption    (30 calls)
% 0.20/0.53  ;     0.000   0%   Forward simplification       (82 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (30 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (143 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  ;     0.023  62%   Other
% 0.20/0.53  ;     0.037        Total
% 0.20/0.53  ;     0.039        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 28 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 15 entries (17 at peak, 19 added, 4 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 30 nodes (51 at peak, 53 added, 23 deleted).
% 0.20/0.53  ;  Retrieved 41 possibly forward subsuming rows in 38 calls.
% 0.20/0.53  ;  Retrieved 4 possibly backward subsumed rows in 19 calls.
% 0.20/0.53  ; Path-index has 30 entries (30 at peak, 33 added, 3 deleted).
% 0.20/0.53  ; Path-index has 60 nodes (60 at peak, 67 added, 7 deleted).
% 0.20/0.53  ; Trie-index has 30 entries (30 at peak, 33 added, 3 deleted).
% 0.20/0.53  ; Trie-index has 49 nodes (49 at peak, 56 added, 7 deleted).
% 0.20/0.53  ; Retrieved 112 generalization terms in 113 calls.
% 0.20/0.53  ; Retrieved 16 instance terms in 10 calls.
% 0.20/0.53  ; Retrieved 1,139 unifiable terms in 234 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to give has 6 entries:
% 0.20/0.53  ;     2 with value (4 8)           1 with value (4 11)           1 with value (4 13)
% 0.20/0.53  ;     1 with value (4 9)           1 with value (4 12)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.039 seconds of real time
% 0.20/0.53    0.032385 seconds of user run time
% 0.20/0.53    0.00728 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    2,906,528 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T23:41:06
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------