TSTP Solution File: SWC384-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC384-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 21:58:33 EDT 2022

% Result   : Unsatisfiable 76.46s 76.62s
% Output   : Refutation 76.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   29 (  15 unt;  10 nHn;  29 RR)
%            Number of literals    :   51 (  22 equ;  16 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause115,axiom,
    ( Y != X
    | ~ neq(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(clause116,axiom,
    ( cons(X,nil) != Y
    | ~ ssItem(X)
    | ~ ssList(Y)
    | singletonP(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).

cnf(clause173,axiom,
    ( app(app(X,Y),Z) != U
    | ~ ssList(Z)
    | ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(U)
    | segmentP(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(191,plain,
    ( ssItem(sk5)
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_8,co1_5,theory(equality)]) ).

cnf(co1_10,negated_conjecture,
    ( ssList(sk6)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(195,plain,
    ( ssList(sk6)
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_10,co1_5,theory(equality)]) ).

cnf(co1_11,negated_conjecture,
    ( ssList(sk7)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(197,plain,
    ( ssList(sk7)
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_11,co1_5,theory(equality)]) ).

cnf(co1_12,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(199,plain,
    ( cons(sk5,nil) = sk1
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_12,co1_5,co1_6,theory(equality)]) ).

cnf(co1_13,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(201,plain,
    ( app(app(sk6,sk1),sk7) = sk2
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_13,co1_5,co1_6,theory(equality)]) ).

cnf(co1_22,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).

cnf(5104,plain,
    nil != sk2,
    inference('UR-RESOLVE',[status(thm)],[clause115,co1_7,clause8,co1_2]) ).

cnf(5105,plain,
    ssItem(sk5),
    inference('REWRITE',[status(thm)],[191,5104]) ).

cnf(5106,plain,
    ssList(sk6),
    inference('REWRITE',[status(thm)],[195,5104]) ).

cnf(5107,plain,
    ssList(sk7),
    inference('REWRITE',[status(thm)],[197,5104]) ).

cnf(5108,plain,
    cons(sk5,nil) = sk1,
    inference('REWRITE',[status(thm)],[199,5104]) ).

cnf(5116,plain,
    app(app(sk6,sk1),sk7) = sk2,
    inference('REWRITE',[status(thm)],[201,5104]) ).

cnf(6838,plain,
    singletonP(sk1),
    inference('HYPERRESOLVE',[status(thm)],[clause116,5108,5105,co1_1]) ).

cnf(6839,plain,
    ~ segmentP(sk2,sk1),
    inference('REWRITE',[status(thm)],[co1_22,6838]) ).

cnf(65368,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[clause173,5116,5107,5106,co1_1,co1_2,6839]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC384-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n008.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 : Sun Jun 12 13:53:22 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 2022-06-12T13:53:22
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-12T13:53:22
% 76.46/76.62  
% 76.46/76.62  
% 76.46/76.62  #||
% 76.46/76.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.46/76.62  % SZS output start Refutation
% See solution above
% 76.46/76.62  ||#
% 76.46/76.62  
% 76.46/76.62  ; Summary of computation:
% 76.46/76.62  ;    132087 formulas have been input or derived (from 189 formulas).
% 76.46/76.62  ;     65368 (49%) were retained.  Of these,
% 76.46/76.62  ;         3648 ( 6%) were simplified or subsumed later,
% 76.46/76.62  ;        61720 (94%) are still being kept.
% 76.46/76.62  ; 
% 76.46/76.62  ; Run time in seconds excluding printing time:
% 76.46/76.62  ;     0.038   0%   Read assertion file          (1 call)
% 76.46/76.62  ;     0.007   0%   Assert                       (207 calls)
% 76.46/76.62  ;     6.786   9%   Process new row              (125,948 calls)
% 76.46/76.62  ;    60.069  79%   Resolution                   (376 calls)
% 76.46/76.62  ;     0.054   0%   Paramodulation               (188 calls)
% 76.46/76.62  ;     0.000   0%   Factoring                    (8 calls)
% 76.46/76.62  ;     0.048   0%   Condensing                   (4,722 calls)
% 76.46/76.62  ;     0.097   0%   Forward subsumption          (4,722 calls)
% 76.46/76.62  ;     0.191   0%   Backward subsumption         (4,347 calls)
% 76.46/76.62  ;     0.008   0%   Clause clause subsumption    (2,561 calls)
% 76.46/76.62  ;     3.104   4%   Forward simplification       (125,948 calls)
% 76.46/76.62  ;     4.511   6%   Backward simplification      (65,354 calls)
% 76.46/76.62  ;     0.788   1%   Ordering                     (127,617 calls)
% 76.46/76.62  ;     0.001   0%   Sortal reasoning             (32 calls)
% 76.46/76.62  ;     0.000   0%   Purity testing               (1 call)
% 76.46/76.62  ;     0.449   1%   Other
% 76.46/76.62  ;    76.151        Total
% 76.46/76.62  ;    76.153        Real time
% 76.46/76.63  ; 
% 76.46/76.63  ; Term-hash-array has 171,274 terms in all.
% 76.46/76.63  ; Feature-vector-row-index has 3,509 entries (3,509 at peak, 4,347 added, 838 deleted).
% 76.46/76.63  ; Feature-vector-row-index has 5,136 nodes (5,136 at peak, 6,638 added, 1,502 deleted).
% 76.46/76.63  ;  Retrieved 15,322 possibly forward subsuming rows in 4,722 calls.
% 76.46/76.63  ;  Retrieved 12,989 possibly backward subsumed rows in 4,347 calls.
% 76.46/76.63  ; Path-index has 167,248 entries (167,248 at peak, 171,626 added, 4,378 deleted).
% 76.46/76.63  ; Path-index has 7,438 nodes (7,438 at peak, 8,060 added, 622 deleted).
% 76.46/76.63  ; Trie-index has 167,248 entries (167,248 at peak, 171,626 added, 4,378 deleted).
% 76.46/76.63  ; Trie-index has 794,678 nodes (794,678 at peak, 806,800 added, 12,122 deleted).
% 76.46/76.63  ; Retrieved 113,969 generalization terms in 661,495 calls.
% 76.46/76.63  ; Retrieved 107,687 instance terms in 106,204 calls.
% 76.46/76.63  ; Retrieved 189,583,745 unifiable terms in 4,069,100 calls.
% 76.46/76.63  ; 
% 76.46/76.63  ; The agenda of rows to process has 1031 entries:
% 76.46/76.63  ;     4 with value 4             135 with value 13              36 with value 16
% 76.46/76.63  ;     1 with value 5             471 with value 14               1 with value 21
% 76.46/76.63  ;    25 with value 11            252 with value 15               1 with value 27
% 76.46/76.63  ;   105 with value 12
% 76.46/76.63  ; The agenda of input rows to give has 17 entries:
% 76.46/76.63  ;     1 with value 26              7 with value 32               2 with value 40
% 76.46/76.63  ;     1 with value 27              1 with value 33               3 with value 44
% 76.46/76.63  ;     1 with value 29              1 with value 35
% 76.46/76.63  ; The agenda of rows to give has 61524 entries:
% 76.46/76.63  ;     8 with value (4 4)         989 with value (4 13)       13821 with value (4 22)
% 76.46/76.63  ;    58 with value (4 5)         683 with value (4 14)        2865 with value (4 23)
% 76.46/76.63  ;     2 with value (4 6)        1802 with value (4 15)        9498 with value (4 24)
% 76.46/76.63  ;   115 with value (4 7)        1141 with value (4 16)        7491 with value (4 25)
% 76.46/76.63  ;   202 with value (4 8)        2513 with value (4 17)        2466 with value (4 26)
% 76.46/76.63  ;   329 with value (4 9)        3382 with value (4 18)        3906 with value (4 27)
% 76.46/76.63  ;   607 with value (4 10)        247 with value (4 19)         222 with value (4 28)
% 76.46/76.63  ;   422 with value (4 11)       7188 with value (4 20)         576 with value (4 29)
% 76.46/76.63  ;   229 with value (4 12)        762 with value (4 21)
% 76.46/76.63  Evaluation took:
% 76.46/76.63    76.157 seconds of real time
% 76.46/76.63    74.67066 seconds of user run time
% 76.46/76.63    1.487052 seconds of system run time
% 76.46/76.63    [Run times include 9.911 seconds GC run time.]
% 76.46/76.63    0 calls to %EVAL
% 76.46/76.63    0 page faults and
% 76.46/76.63    5,460,149,704 bytes consed.
% 76.46/76.63  :PROOF-FOUND
% 76.46/76.63  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T13:54:39
% 76.46/76.63  :PROOF-FOUND
% 76.46/76.63  * 
%------------------------------------------------------------------------------