TSTP Solution File: SWC086-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC086-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 21:56:48 EDT 2022

% Result   : Unsatisfiable 1.42s 1.61s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   18 (  11 unt;   4 nHn;  18 RR)
%            Number of literals    :   29 (   8 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

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

cnf(clause57,axiom,
    ( ~ ssList(X)
    | segmentP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(clause115,axiom,
    ( Y != X
    | ~ neq(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ segmentP(sk2,X)
    | ~ segmentP(sk1,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

cnf(192,plain,
    ( nil = sk2
    | neq(sk1,nil) ),
    inference('REWRITE',[status(thm)],[co1_9,co1_6,co1_5,theory(equality)]) ).

cnf(co1_10,negated_conjecture,
    ( nil = sk4
    | segmentP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(194,plain,
    ( nil = sk2
    | segmentP(sk2,sk1) ),
    inference('REWRITE',[status(thm)],[co1_10,co1_6,co1_5,theory(equality)]) ).

cnf(247,plain,
    segmentP(sk1,sk1),
    inference('HYPERRESOLVE',[status(thm)],[clause57,co1_1]) ).

cnf(4320,plain,
    nil != sk2,
    inference('UR-RESOLVE',[status(thm)],[clause115,co1_7,clause8,co1_2]) ).

cnf(4321,plain,
    neq(sk1,nil),
    inference('REWRITE',[status(thm)],[192,4320]) ).

cnf(4322,plain,
    segmentP(sk2,sk1),
    inference('REWRITE',[status(thm)],[194,4320]) ).

cnf(5397,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[co1_8,co1_1,4321,4322]),247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC086-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 03:33:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  * 
% 0.19/0.49  * 
% 0.19/0.49  #<PACKAGE "SNARK-USER">
% 0.19/0.49  * 
% 0.19/0.49  SNARK-TPTP-OPTIONS
% 0.19/0.49  * 
% 0.19/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49   (USE-FACTORING :POS)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49  * 
% 0.19/0.49  "."
% 0.19/0.49  * 
% 0.19/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T03:33:38
% 0.19/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-12T03:33:38
% 1.42/1.61  
% 1.42/1.61  
% 1.42/1.61  #||
% 1.42/1.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/1.61  % SZS output start Refutation
% See solution above
% 1.42/1.61  ||#
% 1.42/1.61  
% 1.42/1.61  ; Summary of computation:
% 1.42/1.61  ;      8361 formulas have been input or derived (from 123 formulas).
% 1.42/1.61  ;      5397 (65%) were retained.  Of these,
% 1.42/1.61  ;           16 ( 0%) were simplified or subsumed later,
% 1.42/1.61  ;         5381 (100%) are still being kept.
% 1.42/1.61  ; 
% 1.42/1.61  ; Run time in seconds excluding printing time:
% 1.42/1.61  ;     0.039   3%   Read assertion file          (1 call)
% 1.42/1.61  ;     0.007   1%   Assert                       (197 calls)
% 1.42/1.61  ;     0.421  38%   Process new row              (8,353 calls)
% 1.42/1.61  ;     0.287  26%   Resolution                   (244 calls)
% 1.42/1.61  ;     0.001   0%   Paramodulation               (122 calls)
% 1.42/1.61  ;     0.000   0%   Factoring                    (4 calls)
% 1.42/1.61  ;     0.027   2%   Condensing                   (1,461 calls)
% 1.42/1.61  ;     0.022   2%   Forward subsumption          (1,461 calls)
% 1.42/1.61  ;     0.066   6%   Backward subsumption         (1,458 calls)
% 1.42/1.61  ;     0.002   0%   Clause clause subsumption    (1,257 calls)
% 1.42/1.61  ;     0.096   9%   Forward simplification       (8,353 calls)
% 1.42/1.61  ;     0.053   5%   Backward simplification      (5,393 calls)
% 1.42/1.61  ;     0.010   1%   Ordering                     (2,539 calls)
% 1.42/1.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.42/1.61  ;     0.000   0%   Purity testing               (1 call)
% 1.42/1.61  ;     0.086   8%   Other
% 1.42/1.61  ;     1.117        Total
% 1.42/1.61  ;     1.120        Real time
% 1.42/1.62  ; 
% 1.42/1.62  ; Term-hash-array has 9,254 terms in all.
% 1.42/1.62  ; Feature-vector-row-index has 1,448 entries (1,458 at peak, 1,458 added, 10 deleted).
% 1.42/1.62  ; Feature-vector-row-index has 1,115 nodes (1,154 at peak, 1,154 added, 39 deleted).
% 1.42/1.62  ;  Retrieved 6,818 possibly forward subsuming rows in 1,461 calls.
% 1.42/1.62  ;  Retrieved 6,780 possibly backward subsumed rows in 1,458 calls.
% 1.42/1.62  ; Path-index has 9,259 entries (9,259 at peak, 9,271 added, 12 deleted).
% 1.42/1.62  ; Path-index has 4,092 nodes (4,092 at peak, 4,102 added, 10 deleted).
% 1.42/1.62  ; Trie-index has 9,259 entries (9,259 at peak, 9,271 added, 12 deleted).
% 1.42/1.62  ; Trie-index has 22,897 nodes (22,897 at peak, 22,909 added, 12 deleted).
% 1.42/1.62  ; Retrieved 3,069 generalization terms in 13,193 calls.
% 1.42/1.62  ; Retrieved 3,976 instance terms in 3,934 calls.
% 1.42/1.62  ; Retrieved 369,082 unifiable terms in 8,774 calls.
% 1.42/1.62  ; 
% 1.42/1.62  ; The agenda of input rows to give has 72 entries:
% 1.42/1.62  ;     3 with value 16              5 with value 22               1 with value 29
% 1.42/1.62  ;     4 with value 17              2 with value 23               1 with value 32
% 1.42/1.62  ;     7 with value 18              3 with value 24               1 with value 33
% 1.42/1.62  ;     2 with value 19              8 with value 25               1 with value 35
% 1.42/1.62  ;    11 with value 20              3 with value 26               2 with value 40
% 1.42/1.62  ;     9 with value 21              6 with value 27               3 with value 44
% 1.42/1.62  ; The agenda of rows to give has 5190 entries:
% 1.42/1.62  ;    36 with value (4 5)         951 with value (4 10)         804 with value (4 15)
% 1.42/1.62  ;     4 with value (4 6)         757 with value (4 11)         144 with value (4 16)
% 1.42/1.62  ;   104 with value (4 7)         528 with value (4 12)         252 with value (4 17)
% 1.42/1.62  ;   192 with value (4 8)         309 with value (4 13)          48 with value (4 19)
% 1.42/1.62  ;   299 with value (4 9)         762 with value (4 14)
% 1.42/1.62  Evaluation took:
% 1.42/1.62    1.121 seconds of real time
% 1.42/1.62    1.022705 seconds of user run time
% 1.42/1.62    0.097071 seconds of system run time
% 1.42/1.62    [Run times include 0.109 seconds GC run time.]
% 1.42/1.62    0 calls to %EVAL
% 1.42/1.62    0 page faults and
% 1.42/1.62    55,087,248 bytes consed.
% 1.42/1.62  :PROOF-FOUND
% 1.42/1.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T03:33:39
% 1.42/1.62  :PROOF-FOUND
% 1.42/1.62  * 
%------------------------------------------------------------------------------