TSTP Solution File: SWV376+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:33:06 EDT 2022

% Result   : Theorem 0.47s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (  11 unt;   2 nHn;  14 RR)
%            Number of literals    :   23 (   3 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-3 aty)
%            Number of variables   :   22 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(37,axiom,
    ~ ok(triple(X,Y,bad)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax40) ).

cnf(38,axiom,
    ( ok(triple(X,Y,Z))
    | Z = bad ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax41) ).

cnf(52,axiom,
    ( ~ ok(triple('SKOLEMAAAW4','SKOLEMAAAW5','SKOLEMAAAW6'))
    | ok(triple(X,Y,Z))
    | ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
    | ~ ok(triple(U,V,W)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_induction) ).

cnf(53,axiom,
    ( ok(im_succ_cpq(triple('SKOLEMAAAW4','SKOLEMAAAW5','SKOLEMAAAW6')))
    | ok(triple(X,Y,Z))
    | ~ succ_cpq(triple(X,Y,Z),triple(U,V,W))
    | ~ ok(triple(U,V,W)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_induction) ).

cnf(54,axiom,
    ( ok(triple(X,Y,Z))
    | ~ ok(im_succ_cpq(triple(X,Y,Z))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).

cnf(55,negated_conjecture,
    ~ ok(triple('SKOLEMAAAW7','SKOLEMAAAW8','SKOLEMAAAW9')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_co) ).

cnf(56,negated_conjecture,
    succ_cpq(triple('SKOLEMAAAW7','SKOLEMAAAW8','SKOLEMAAAW9'),triple('SKOLEMAAAW10','SKOLEMAAAW11','SKOLEMAAAW12')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_co) ).

cnf(57,negated_conjecture,
    ok(triple('SKOLEMAAAW10','SKOLEMAAAW11','SKOLEMAAAW12')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_co) ).

cnf(64,plain,
    'SKOLEMAAAW9' = bad,
    inference('HYPERRESOLVE',[status(thm)],[55,38]) ).

cnf(65,plain,
    succ_cpq(triple('SKOLEMAAAW7','SKOLEMAAAW8',bad),triple('SKOLEMAAAW10','SKOLEMAAAW11','SKOLEMAAAW12')),
    inference('REWRITE',[status(thm)],[56,64,theory(equality)]) ).

cnf(87,plain,
    ~ ok(im_succ_cpq(triple(X,Y,bad))),
    inference('UR-RESOLVE',[status(thm)],[54,37]) ).

cnf(144,plain,
    ~ ok(triple('SKOLEMAAAW4','SKOLEMAAAW5','SKOLEMAAAW6')),
    inference('UR-RESOLVE',[status(thm)],[52,37,65,57]) ).

cnf(145,plain,
    ok(im_succ_cpq(triple('SKOLEMAAAW4','SKOLEMAAAW5','SKOLEMAAAW6'))),
    inference('UR-RESOLVE',[status(thm)],[53,37,65,57]) ).

cnf(169,plain,
    'SKOLEMAAAW6' = bad,
    inference('HYPERRESOLVE',[status(thm)],[144,38]) ).

cnf(170,plain,
    $false,
    inference('REWRITE',[status(thm)],[145,87,169,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n021.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 20:38:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T20:38:29
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-15T20:38:29
% 0.47/0.64  
% 0.47/0.64  
% 0.47/0.64  #||
% 0.47/0.64  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64  % SZS output start Refutation
% See solution above
% 0.47/0.64  ||#
% 0.47/0.64  
% 0.47/0.64  ; Summary of computation:
% 0.47/0.64  ;      1487 formulas have been input or derived (from 66 formulas).
% 0.47/0.64  ;       170 (11%) were retained.  Of these,
% 0.47/0.64  ;           10 ( 6%) were simplified or subsumed later,
% 0.47/0.64  ;          160 (94%) are still being kept.
% 0.47/0.65  ; 
% 0.47/0.65  ; Run time in seconds excluding printing time:
% 0.47/0.65  ;     0.013   9%   Read assertion file          (1 call)
% 0.47/0.65  ;     0.001   1%   Assert                       (44 calls)
% 0.47/0.65  ;     0.020  14%   Process new row              (1,457 calls)
% 0.47/0.65  ;     0.013   9%   Resolution                   (130 calls)
% 0.47/0.65  ;     0.002   1%   Paramodulation               (65 calls)
% 0.47/0.65  ;     0.000   0%   Factoring                    (5 calls)
% 0.47/0.65  ;     0.003   2%   Condensing                   (181 calls)
% 0.47/0.65  ;     0.007   5%   Forward subsumption          (181 calls)
% 0.47/0.65  ;     0.003   2%   Backward subsumption         (85 calls)
% 0.47/0.65  ;     0.001   1%   Clause clause subsumption    (207 calls)
% 0.47/0.65  ;     0.045  31%   Forward simplification       (1,429 calls)
% 0.47/0.65  ;     0.001   1%   Backward simplification      (170 calls)
% 0.47/0.65  ;     0.004   3%   Ordering                     (594 calls)
% 0.47/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.47/0.65  ;     0.031  21%   Other
% 0.47/0.65  ;     0.145        Total
% 0.47/0.65  ;     0.148        Real time
% 0.47/0.65  ; 
% 0.47/0.65  ; Term-hash-array has 478 terms in all.
% 0.47/0.65  ; Feature-vector-row-index has 81 entries (81 at peak, 85 added, 4 deleted).
% 0.47/0.65  ; Feature-vector-row-index has 632 nodes (632 at peak, 683 added, 51 deleted).
% 0.47/0.65  ;  Retrieved 262 possibly forward subsuming rows in 181 calls.
% 0.47/0.65  ;  Retrieved 11 possibly backward subsumed rows in 85 calls.
% 0.47/0.65  ; Path-index has 476 entries (485 at peak, 497 added, 21 deleted).
% 0.47/0.65  ; Path-index has 1,269 nodes (1,293 at peak, 1,317 added, 48 deleted).
% 0.47/0.65  ; Trie-index has 476 entries (485 at peak, 497 added, 21 deleted).
% 0.47/0.65  ; Trie-index has 1,470 nodes (1,495 at peak, 1,526 added, 56 deleted).
% 0.47/0.65  ; Retrieved 4,748 generalization terms in 7,847 calls.
% 0.47/0.65  ; Retrieved 105 instance terms in 88 calls.
% 0.47/0.65  ; Retrieved 3,998 unifiable terms in 470 calls.
% 0.47/0.65  ; 
% 0.47/0.65  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.47/0.65  ;     1 with value 0
% 0.47/0.65  ; The agenda of rows to process has 1 entry:
% 0.47/0.65  ;     1 with value 11
% 0.47/0.65  ; The agenda of rows to give has 100 entries:
% 0.47/0.65  ;     1 with value (4 6)           5 with value (4 20)           3 with value (4 32)
% 0.47/0.65  ;     3 with value (4 9)           4 with value (4 21)           2 with value (4 33)
% 0.47/0.65  ;     7 with value (4 10)          4 with value (4 22)           1 with value (4 34)
% 0.47/0.65  ;    11 with value (4 11)          5 with value (4 23)           1 with value (4 35)
% 0.47/0.65  ;     6 with value (4 12)          1 with value (4 24)           1 with value (4 38)
% 0.47/0.65  ;     3 with value (4 13)          1 with value (4 25)           1 with value (4 40)
% 0.47/0.65  ;     5 with value (4 14)          4 with value (4 27)           1 with value (4 45)
% 0.47/0.65  ;     5 with value (4 15)          3 with value (4 28)           1 with value (4 47)
% 0.47/0.65  ;     1 with value (4 17)          2 with value (4 29)           2 with value (4 48)
% 0.47/0.65  ;     3 with value (4 18)          6 with value (4 30)           3 with value (4 49)
% 0.47/0.65  ;     1 with value (4 19)          2 with value (4 31)           1 with value (4 54)
% 0.47/0.65  Evaluation took:
% 0.47/0.65    0.148 seconds of real time
% 0.47/0.65    0.130976 seconds of user run time
% 0.47/0.65    0.01678 seconds of system run time
% 0.47/0.65    0 calls to %EVAL
% 0.47/0.65    0 page faults and
% 0.47/0.65    8,652,320 bytes consed.
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T20:38:29
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  * 
%------------------------------------------------------------------------------