TSTP Solution File: SWV041+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV041+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 21:31:36 EDT 2022

% Result   : Theorem 158.21s 158.39s
% Output   : Refutation 158.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (  13 unt;   0 nHn;  14 RR)
%            Number of literals    :   20 (   6 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ gt(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

cnf(15,axiom,
    ( ~ leq(X,Y)
    | leq(X,succ(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ) ).

cnf(16,axiom,
    ( ~ leq(X,Y)
    | gt(succ(Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

cnf(225,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).

cnf(236,axiom,
    minus(X,n1) = pred(X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

cnf(237,axiom,
    pred(succ(X)) = X,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

cnf(262,negated_conjecture,
    leq(n0,'SKOLEMAAAV29'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0077) ).

cnf(263,negated_conjecture,
    leq('SKOLEMAAAV29',minus(n0,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0077) ).

cnf(264,plain,
    leq('SKOLEMAAAV29',pred(n0)),
    inference('REWRITE',[status(thm)],[263,236,theory(equality)]) ).

cnf(304,axiom,
    ( ~ leq(n0,X)
    | ~ leq(X,n0)
    | X = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

cnf(403,plain,
    pred(n0) = tptp_minus_1,
    inference('PARAMODULATE',[status(thm)],[237,225,theory(equality)]) ).

cnf(404,plain,
    leq('SKOLEMAAAV29',tptp_minus_1),
    inference('REWRITE',[status(thm)],[264,403,theory(equality)]) ).

cnf(425,plain,
    leq('SKOLEMAAAV29',n0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,404]),225,theory(equality)]) ).

cnf(429,plain,
    gt(n0,'SKOLEMAAAV29'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,404]),225,theory(equality)]) ).

cnf(56230,plain,
    n0 = 'SKOLEMAAAV29',
    inference('HYPERRESOLVE',[status(thm)],[304,425,262]) ).

cnf(56233,plain,
    $false,
    inference('REWRITE',[status(thm)],[429,3,56230,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV041+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n023.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 : Wed Jun 15 19:00:35 EDT 2022
% 0.13/0.35  % 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  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (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 2022-06-15T19:00:35
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-15T19:00:35
% 0.20/0.53  WARNING:
% 0.20/0.53     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 158.21/158.39  
% 158.21/158.39  
% 158.21/158.39  #||
% 158.21/158.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 158.21/158.39  % SZS output start Refutation
% See solution above
% 158.21/158.39  ||#
% 158.21/158.39  
% 158.21/158.39  ; Summary of computation:
% 158.21/158.39  ;    142973 formulas have been input or derived (from 390 formulas).
% 158.21/158.39  ;     56233 (39%) were retained.  Of these,
% 158.21/158.39  ;         6193 (11%) were simplified or subsumed later,
% 158.21/158.39  ;        50040 (89%) are still being kept.
% 158.21/158.39  ; 
% 158.21/158.39  ; Run time in seconds excluding printing time:
% 158.21/158.39  ;     0.022   0%   Read assertion file          (1 call)
% 158.21/158.39  ;     0.012   0%   Assert                       (100 calls)
% 158.21/158.39  ;     5.172   3%   Process new row              (125,063 calls)
% 158.21/158.39  ;   135.477  86%   Resolution                   (778 calls)
% 158.21/158.39  ;     0.091   0%   Paramodulation               (389 calls)
% 158.21/158.39  ;     0.000   0%   Factoring                    (1 call)
% 158.21/158.39  ;     0.457   0%   Condensing                   (36,683 calls)
% 158.21/158.40  ;     6.838   4%   Forward subsumption          (36,683 calls)
% 158.21/158.40  ;     1.427   1%   Backward subsumption         (19,957 calls)
% 158.21/158.40  ;     0.223   0%   Clause clause subsumption    (40,029 calls)
% 158.21/158.40  ;     2.929   2%   Forward simplification       (125,062 calls)
% 158.21/158.40  ;     4.687   3%   Backward simplification      (56,226 calls)
% 158.21/158.40  ;     0.165   0%   Ordering                     (150,706 calls)
% 158.21/158.40  ;     0.000   0%   Sortal reasoning             (32 calls)
% 158.21/158.40  ;     0.001   0%   Purity testing               (1 call)
% 158.21/158.40  ;     0.411   0%   Other
% 158.21/158.40  ;   157.912        Total
% 158.21/158.40  ;   157.910        Real time
% 158.21/158.40  ; 
% 158.21/158.40  ; Term-hash-array has 82,312 terms in all.
% 158.21/158.40  ; Feature-vector-row-index has 18,911 entries (19,957 at peak, 19,957 added, 1,046 deleted).
% 158.21/158.40  ; Feature-vector-row-index has 49,234 nodes (51,746 at peak, 51,746 added, 2,512 deleted).
% 158.21/158.40  ;  Retrieved 119,067 possibly forward subsuming rows in 36,683 calls.
% 158.21/158.40  ;  Retrieved 36,642 possibly backward subsumed rows in 19,957 calls.
% 158.21/158.40  ; Path-index has 69,971 entries (82,320 at peak, 82,330 added, 12,359 deleted).
% 158.21/158.40  ; Path-index has 2,806 nodes (3,045 at peak, 3,058 added, 252 deleted).
% 158.21/158.40  ; Trie-index has 69,971 entries (82,320 at peak, 82,330 added, 12,359 deleted).
% 158.21/158.40  ; Trie-index has 137,722 nodes (169,382 at peak, 169,401 added, 31,679 deleted).
% 158.21/158.40  ; Retrieved 233,067 generalization terms in 379,531 calls.
% 158.21/158.40  ; Retrieved 72,877 instance terms in 36,268 calls.
% 158.21/158.40  ; Retrieved 201,494,628 unifiable terms in 374,051 calls.
% 158.21/158.40  ; 
% 158.21/158.40  ; The agenda of backward simplifiable rows to process has 5988 entries:
% 158.21/158.40  ;  5988 with value 0
% 158.21/158.40  ; The agenda of rows to process has 10538 entries:
% 158.21/158.40  ;    14 with value 6            9648 with value 19              44 with value 29
% 158.21/158.40  ;     4 with value 8               2 with value 21             128 with value 32
% 158.21/158.40  ;     1 with value 9              32 with value 23              32 with value 33
% 158.21/158.40  ;     1 with value 10            352 with value 24             256 with value 79
% 158.21/158.40  ;    24 with value 15
% 158.21/158.40  ; The agenda of input rows to give has 1 entry:
% 158.21/158.40  ;     1 with value 4
% 158.21/158.40  ; The agenda of rows to give has 49656 entries:
% 158.21/158.40  ;    39 with value (4 5)         171 with value (4 15)        6029 with value (4 24)
% 158.21/158.40  ;    44 with value (4 6)           4 with value (4 17)           8 with value (4 28)
% 158.21/158.40  ;    52 with value (4 7)          37 with value (4 18)        2348 with value (4 29)
% 158.21/158.40  ;    26 with value (4 8)       30589 with value (4 19)          33 with value (4 31)
% 158.21/158.40  ;    32 with value (4 9)           5 with value (4 20)        2920 with value (4 32)
% 158.21/158.40  ;    13 with value (4 11)         60 with value (4 21)         488 with value (4 33)
% 158.21/158.40  ;    77 with value (4 13)          8 with value (4 22)          64 with value (4 78)
% 158.21/158.40  ;     8 with value (4 14)        777 with value (4 23)        5824 with value (4 79)
% 158.21/158.40  Evaluation took:
% 158.21/158.40    157.917 seconds of real time
% 158.21/158.40    156.30702 seconds of user run time
% 158.21/158.40    1.613019 seconds of system run time
% 158.21/158.40    [Run times include 6.147 seconds GC run time.]
% 158.21/158.40    0 calls to %EVAL
% 158.21/158.40    0 page faults and
% 158.21/158.40    3,778,710,960 bytes consed.
% 158.21/158.40  :PROOF-FOUND
% 158.21/158.40  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T19:03:13
% 158.21/158.40  :PROOF-FOUND
% 158.21/158.40  * 
%------------------------------------------------------------------------------