TSTP Solution File: SWC367-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC367-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Tue Jul 19 21:58:27 EDT 2022

% Result   : Unsatisfiable 0.45s 0.60s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (  10 unt;   4 nHn;  15 RR)
%            Number of literals    :   20 (   9 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause58,axiom,
    ( ~ ssList(X)
    | rearsegP(X,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    ~ rearsegP(sk2,sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_9,negated_conjecture,
    ( nil = sk4
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(193,plain,
    nil = sk2,
    inference('REWRITE',[status(thm)],[co1_9,co1_7,co1_6,co1_5,theory(equality)]) ).

cnf(co1_11,negated_conjecture,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(197,plain,
    ( nil = sk1
    | rearsegP(sk4,sk1) ),
    inference('REWRITE',[status(thm)],[co1_11,co1_6,theory(equality)]) ).

cnf(198,plain,
    nil = sk4,
    inference('REWRITE',[status(thm)],[co1_5,193,theory(equality)]) ).

cnf(199,plain,
    ( nil = sk1
    | rearsegP(nil,sk1) ),
    inference('REWRITE',[status(thm)],[197,198,theory(equality)]) ).

cnf(200,plain,
    ~ rearsegP(nil,sk1),
    inference('REWRITE',[status(thm)],[co1_7,193,theory(equality)]) ).

cnf(201,plain,
    nil = sk1,
    inference('REWRITE',[status(thm)],[199,200]) ).

cnf(203,plain,
    ~ rearsegP(nil,nil),
    inference('REWRITE',[status(thm)],[200,201,theory(equality)]) ).

cnf(276,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[clause58,clause8,203]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC367-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sun Jun 12 09:28:21 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 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  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T09:28:21
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-12T09:28:21
% 0.45/0.60  
% 0.45/0.60  
% 0.45/0.60  #||
% 0.45/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.60  % SZS output start Refutation
% See solution above
% 0.45/0.60  ||#
% 0.45/0.60  
% 0.45/0.60  ; Summary of computation:
% 0.45/0.60  ;       420 formulas have been input or derived (from 64 formulas).
% 0.45/0.60  ;       276 (66%) were retained.  Of these,
% 0.45/0.60  ;           16 ( 6%) were simplified or subsumed later,
% 0.45/0.60  ;          260 (94%) are still being kept.
% 0.45/0.60  ; 
% 0.45/0.60  ; Run time in seconds excluding printing time:
% 0.45/0.60  ;     0.036  33%   Read assertion file          (1 call)
% 0.45/0.60  ;     0.007   6%   Assert                       (196 calls)
% 0.45/0.60  ;     0.022  20%   Process new row              (356 calls)
% 0.45/0.61  ;     0.004   4%   Resolution                   (126 calls)
% 0.45/0.61  ;     0.001   1%   Paramodulation               (63 calls)
% 0.45/0.61  ;     0.003   3%   Condensing                   (134 calls)
% 0.45/0.61  ;     0.002   2%   Forward subsumption          (134 calls)
% 0.45/0.61  ;     0.004   4%   Backward subsumption         (132 calls)
% 0.45/0.61  ;     0.000   0%   Clause clause subsumption    (59 calls)
% 0.45/0.61  ;     0.003   3%   Forward simplification       (356 calls)
% 0.45/0.61  ;     0.001   1%   Backward simplification      (272 calls)
% 0.45/0.61  ;     0.000   0%   Ordering                     (22 calls)
% 0.45/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.45/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.45/0.61  ;     0.025  23%   Other
% 0.45/0.61  ;     0.109        Total
% 0.45/0.61  ;     0.110        Real time
% 0.45/0.61  ; 
% 0.45/0.61  ; Term-hash-array has 430 terms in all.
% 0.45/0.61  ; Feature-vector-row-index has 128 entries (130 at peak, 132 added, 4 deleted).
% 0.45/0.61  ; Feature-vector-row-index has 554 nodes (567 at peak, 580 added, 26 deleted).
% 0.45/0.61  ;  Retrieved 48 possibly forward subsuming rows in 134 calls.
% 0.45/0.61  ;  Retrieved 12 possibly backward subsumed rows in 132 calls.
% 0.45/0.61  ; Path-index has 427 entries (427 at peak, 440 added, 13 deleted).
% 0.45/0.61  ; Path-index has 1,113 nodes (1,113 at peak, 1,130 added, 17 deleted).
% 0.45/0.61  ; Trie-index has 427 entries (427 at peak, 440 added, 13 deleted).
% 0.45/0.61  ; Trie-index has 1,083 nodes (1,083 at peak, 1,102 added, 19 deleted).
% 0.45/0.61  ; Retrieved 77 generalization terms in 633 calls.
% 0.45/0.61  ; Retrieved 139 instance terms in 139 calls.
% 0.45/0.61  ; Retrieved 1,532 unifiable terms in 350 calls.
% 0.45/0.61  ; 
% 0.45/0.61  ; The agenda of rows to process has 56 entries:
% 0.45/0.61  ;     1 with value 4              42 with value 7               12 with value 8
% 0.45/0.61  ;     1 with value 5
% 0.45/0.61  ; The agenda of input rows to give has 124 entries:
% 0.45/0.61  ;     6 with value 7               4 with value 17               3 with value 26
% 0.45/0.61  ;     8 with value 9               7 with value 18               6 with value 27
% 0.45/0.61  ;     2 with value 10              2 with value 19               1 with value 29
% 0.45/0.61  ;     6 with value 11             11 with value 20               1 with value 32
% 0.45/0.61  ;     4 with value 12              9 with value 21               1 with value 33
% 0.45/0.61  ;    11 with value 13              5 with value 22               1 with value 35
% 0.45/0.61  ;    12 with value 14              2 with value 23               2 with value 40
% 0.45/0.61  ;     3 with value 15              3 with value 24               3 with value 44
% 0.45/0.61  ;     3 with value 16              8 with value 25
% 0.45/0.61  ; The agenda of rows to give has 72 entries:
% 0.45/0.61  ;     3 with value (4 5)          42 with value (4 8)            6 with value (4 10)
% 0.45/0.61  ;    21 with value (4 7)
% 0.45/0.61  Evaluation took:
% 0.45/0.61    0.111 seconds of real time
% 0.45/0.61    0.098608 seconds of user run time
% 0.45/0.61    0.012039 seconds of system run time
% 0.45/0.61    0 calls to %EVAL
% 0.45/0.61    0 page faults and
% 0.45/0.61    5,596,640 bytes consed.
% 0.45/0.61  :PROOF-FOUND
% 0.45/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T09:28:22
% 0.45/0.61  :PROOF-FOUND
% 0.45/0.61  * 
%------------------------------------------------------------------------------