TSTP Solution File: SWV048+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV048+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 21:31:38 EDT 2022

% Result   : Theorem 0.54s 0.69s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  14 unt;   0 nHn;  13 RR)
%            Number of literals    :   21 (  13 equ;   8 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-3 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(222,axiom,
    sum(n0,tptp_minus_1,X) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).

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(255,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).

cnf(257,negated_conjecture,
    pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0016) ).

cnf(258,plain,
    pv78 = sum(n0,pred(n135300),a_select3(q,pv79,pv35)),
    inference('REWRITE',[status(thm)],[257,236,theory(equality)]) ).

cnf(259,negated_conjecture,
    leq(n0,pv35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0016) ).

cnf(260,negated_conjecture,
    leq(pv35,minus(n5,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0016) ).

cnf(261,plain,
    leq(pv35,pred(n5)),
    inference('REWRITE',[status(thm)],[260,236,theory(equality)]) ).

cnf(262,negated_conjecture,
    ( n0 != pv78
    | ~ true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0016) ).

cnf(263,plain,
    n0 != pv78,
    inference('REWRITE',[status(thm)],[262,255]) ).

cnf(264,negated_conjecture,
    ( n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
    | pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
    | ~ leq(n0,pv35)
    | ~ leq(pv35,minus(n5,n1))
    | n0 = pv78 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0016) ).

cnf(265,plain,
    n0 != sum(n0,pred(n0),times(a_select3(q,pv81,pv35),a_select2(x,pv81))),
    inference('REWRITE',[status(thm)],[264,263,261,259,258,236,theory(equality)]) ).

cnf(377,plain,
    pred(n0) = tptp_minus_1,
    inference('PARAMODULATE',[status(thm)],[237,225,theory(equality)]) ).

cnf(378,plain,
    $false,
    inference('REWRITE',[status(thm)],[265,222,377,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV048+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n027.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 : Thu Jun 16 01:27:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T01:27:20
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-16T01:27:20
% 0.54/0.69  
% 0.54/0.69  
% 0.54/0.69  #||
% 0.54/0.69  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.69  % SZS output start Refutation
% See solution above
% 0.54/0.69  ||#
% 0.54/0.69  
% 0.54/0.69  ; Summary of computation:
% 0.54/0.69  ;       460 formulas have been input or derived (from 54 formulas).
% 0.54/0.69  ;       378 (82%) were retained.  Of these,
% 0.54/0.69  ;           12 ( 3%) were simplified or subsumed later,
% 0.54/0.69  ;          366 (97%) are still being kept.
% 0.54/0.69  ; 
% 0.54/0.69  ; Run time in seconds excluding printing time:
% 0.54/0.69  ;     0.022  10%   Read assertion file          (1 call)
% 0.54/0.69  ;     0.011   5%   Assert                       (92 calls)
% 0.54/0.69  ;     0.043  20%   Process new row              (448 calls)
% 0.54/0.69  ;     0.003   1%   Resolution                   (106 calls)
% 0.54/0.69  ;     0.000   0%   Paramodulation               (53 calls)
% 0.54/0.69  ;     0.024  11%   Condensing                   (238 calls)
% 0.54/0.69  ;     0.048  22%   Forward subsumption          (238 calls)
% 0.54/0.69  ;     0.012   5%   Backward subsumption         (238 calls)
% 0.54/0.69  ;     0.016   7%   Clause clause subsumption    (783 calls)
% 0.54/0.69  ;     0.018   8%   Forward simplification       (448 calls)
% 0.54/0.69  ;     0.001   0%   Backward simplification      (370 calls)
% 0.54/0.69  ;     0.002   1%   Ordering                     (569 calls)
% 0.54/0.69  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.54/0.69  ;     0.001   0%   Purity testing               (1 call)
% 0.54/0.69  ;     0.018   8%   Other
% 0.54/0.69  ;     0.219        Total
% 0.54/0.69  ;     0.221        Real time
% 0.54/0.69  ; 
% 0.54/0.69  ; Term-hash-array has 523 terms in all.
% 0.54/0.69  ; Feature-vector-row-index has 238 entries (238 at peak, 238 added, 0 deleted).
% 0.54/0.69  ; Feature-vector-row-index has 1,679 nodes (1,679 at peak, 1,679 added, 0 deleted).
% 0.54/0.69  ;  Retrieved 682 possibly forward subsuming rows in 238 calls.
% 0.54/0.69  ;  Retrieved 505 possibly backward subsumed rows in 238 calls.
% 0.54/0.69  ; Path-index has 530 entries (535 at peak, 543 added, 13 deleted).
% 0.54/0.69  ; Path-index has 1,633 nodes (1,653 at peak, 1,663 added, 30 deleted).
% 0.54/0.69  ; Trie-index has 530 entries (535 at peak, 543 added, 13 deleted).
% 0.54/0.69  ; Trie-index has 1,321 nodes (1,354 at peak, 1,370 added, 49 deleted).
% 0.54/0.69  ; Retrieved 1,486 generalization terms in 1,617 calls.
% 0.54/0.69  ; Retrieved 144 instance terms in 131 calls.
% 0.54/0.69  ; Retrieved 1,974 unifiable terms in 278 calls.
% 0.54/0.69  ; 
% 0.54/0.69  ; The agenda of rows to process has 1 entry:
% 0.54/0.69  ;     1 with value 7
% 0.54/0.69  ; The agenda of input rows to give has 246 entries:
% 0.54/0.69  ;     1 with value 4               1 with value 24               2 with value 50
% 0.54/0.69  ;     1 with value 8               2 with value 27               4 with value 51
% 0.54/0.69  ;     8 with value 10              1 with value 28              16 with value 59
% 0.54/0.69  ;     6 with value 11              1 with value 29               2 with value 60
% 0.54/0.69  ;     7 with value 12              1 with value 30               1 with value 64
% 0.54/0.69  ;     2 with value 13              1 with value 32               2 with value 72
% 0.54/0.69  ;     2 with value 14              1 with value 33              64 with value 93
% 0.54/0.69  ;     3 with value 16              8 with value 37              48 with value 106
% 0.54/0.69  ;     1 with value 20              4 with value 38              12 with value 119
% 0.54/0.69  ;     1 with value 21             33 with value 46               1 with value 132
% 0.54/0.69  ;     1 with value 22              8 with value 47
% 0.54/0.69  ; The agenda of rows to give has 67 entries:
% 0.54/0.69  ;    60 with value (4 5)           7 with value (4 7)
% 0.54/0.69  Evaluation took:
% 0.54/0.69    0.221 seconds of real time
% 0.54/0.69    0.209912 seconds of user run time
% 0.54/0.69    0.011846 seconds of system run time
% 0.54/0.69    [Run times include 0.005 seconds GC run time.]
% 0.54/0.69    0 calls to %EVAL
% 0.54/0.69    0 page faults and
% 0.54/0.69    17,255,656 bytes consed.
% 0.54/0.69  :PROOF-FOUND
% 0.54/0.69  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T01:27:20
% 0.54/0.69  :PROOF-FOUND
% 0.54/0.69  * 
%------------------------------------------------------------------------------