TSTP Solution File: SWV861-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 21:36:16 EDT 2022

% Result   : Unsatisfiable 1.07s 1.29s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_Q,X),Y))
    | ~ c_Natural_Oevaln(v_c,Z,v_n,Y)
    | ~ hBOOL(hAPP(hAPP(v_P,X),Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_R,X),Y))
    | ~ c_Natural_Oevaln(v_d,Z,v_n,Y)
    | ~ hBOOL(hAPP(hAPP(v_Q,X),Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(2397,plain,
    hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)),
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,cls_conjecture_1,cls_conjecture_0]) ).

cnf(2403,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_conjecture_6,cls_conjecture_3,cls_conjecture_2]),2397]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n005.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 : Tue Jun 14 18:26:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 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  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:26:39
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-14T18:26:39
% 0.42/0.62  
% 0.42/0.62  ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.42/0.63  WARNING:
% 0.42/0.63     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.63  WARNING:
% 0.42/0.63     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.63  WARNING:
% 0.42/0.63     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.07/1.29  ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 1.07/1.29  
% 1.07/1.29  #||
% 1.07/1.29  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.29  % SZS output start Refutation
% See solution above
% 1.07/1.29  ||#
% 1.07/1.29  
% 1.07/1.29  ; Summary of computation:
% 1.07/1.29  ;      4074 formulas have been input or derived (from 329 formulas).
% 1.07/1.29  ;      2403 (59%) were retained.  Of these,
% 1.07/1.29  ;          317 (13%) were simplified or subsumed later,
% 1.07/1.29  ;         2086 (87%) are still being kept.
% 1.07/1.29  ; 
% 1.07/1.29  ; Run time in seconds excluding printing time:
% 1.07/1.29  ;     0.121  15%   Read assertion file          (1 call)
% 1.07/1.29  ;     0.011   1%   Assert                       (606 calls)
% 1.07/1.29  ;     0.215  27%   Process new row              (3,733 calls)
% 1.07/1.29  ;     0.080  10%   Resolution                   (656 calls)
% 1.07/1.29  ;     0.028   3%   Paramodulation               (328 calls)
% 1.07/1.29  ;     0.000   0%   Factoring                    (7 calls)
% 1.07/1.29  ;     0.028   3%   Condensing                   (1,815 calls)
% 1.07/1.29  ;     0.084  10%   Forward subsumption          (1,815 calls)
% 1.07/1.29  ;     0.038   5%   Backward subsumption         (1,576 calls)
% 1.07/1.29  ;     0.012   1%   Clause clause subsumption    (2,939 calls)
% 1.07/1.29  ;     0.088  11%   Forward simplification       (3,703 calls)
% 1.07/1.29  ;     0.026   3%   Backward simplification      (2,360 calls)
% 1.07/1.29  ;     0.025   3%   Ordering                     (4,451 calls)
% 1.07/1.29  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.07/1.29  ;     0.002   0%   Purity testing               (1 call)
% 1.07/1.29  ;     0.043   5%   Other
% 1.07/1.29  ;     0.802        Total
% 1.07/1.29  ;     0.803        Real time
% 1.07/1.29  ; 
% 1.07/1.29  ; Term-hash-array has 6,221 terms in all.
% 1.07/1.29  ; Feature-vector-row-index has 1,384 entries (1,384 at peak, 1,576 added, 192 deleted).
% 1.07/1.29  ; Feature-vector-row-index has 6,663 nodes (6,663 at peak, 8,804 added, 2,141 deleted).
% 1.07/1.29  ;  Retrieved 3,737 possibly forward subsuming rows in 1,815 calls.
% 1.07/1.29  ;  Retrieved 1,081 possibly backward subsumed rows in 1,576 calls.
% 1.07/1.29  ; Path-index has 5,547 entries (5,547 at peak, 6,515 added, 968 deleted).
% 1.07/1.29  ; Path-index has 19,925 nodes (19,925 at peak, 21,442 added, 1,517 deleted).
% 1.07/1.29  ; Trie-index has 5,547 entries (5,547 at peak, 6,515 added, 968 deleted).
% 1.07/1.29  ; Trie-index has 25,816 nodes (25,816 at peak, 30,685 added, 4,869 deleted).
% 1.07/1.29  ; Retrieved 5,700 generalization terms in 14,963 calls.
% 1.07/1.29  ; Retrieved 1,566 instance terms in 881 calls.
% 1.07/1.29  ; Retrieved 115,661 unifiable terms in 3,077 calls.
% 1.07/1.29  ; 
% 1.07/1.29  ; The agenda of rows to process has 5 entries:
% 1.07/1.29  ;     1 with value 28              1 with value 31               2 with value 34
% 1.07/1.29  ;     1 with value 30
% 1.07/1.29  ; The agenda of input rows to give has 126 entries:
% 1.07/1.29  ;     2 with value 24              4 with value 34               1 with value 45
% 1.07/1.29  ;    10 with value 25              6 with value 35               1 with value 47
% 1.07/1.29  ;     4 with value 26              2 with value 36               3 with value 48
% 1.07/1.29  ;     8 with value 27              6 with value 37               1 with value 50
% 1.07/1.29  ;     1 with value 28              7 with value 38               3 with value 51
% 1.07/1.29  ;    12 with value 29              2 with value 39               3 with value 53
% 1.07/1.29  ;     9 with value 30              6 with value 40               1 with value 55
% 1.07/1.29  ;     6 with value 31              2 with value 41               1 with value 57
% 1.07/1.29  ;    13 with value 32              4 with value 42               1 with value 65
% 1.07/1.29  ;     5 with value 33              1 with value 44               1 with value 99
% 1.07/1.29  ; The agenda of rows to give has 1640 entries:
% 1.07/1.29  ;     5 with value (4 6)          52 with value (4 21)          39 with value (4 35)
% 1.07/1.29  ;    18 with value (4 7)          74 with value (4 22)          42 with value (4 36)
% 1.07/1.29  ;     7 with value (4 8)          39 with value (4 23)          35 with value (4 37)
% 1.07/1.29  ;    13 with value (4 9)          44 with value (4 24)          56 with value (4 38)
% 1.07/1.29  ;    22 with value (4 10)         35 with value (4 25)          26 with value (4 39)
% 1.07/1.29  ;    19 with value (4 11)         63 with value (4 26)          14 with value (4 40)
% 1.07/1.29  ;    30 with value (4 12)         46 with value (4 27)           6 with value (4 41)
% 1.07/1.29  ;    30 with value (4 13)         45 with value (4 28)           2 with value (4 42)
% 1.07/1.29  ;    26 with value (4 14)         73 with value (4 29)          11 with value (4 43)
% 1.07/1.29  ;    38 with value (4 15)         86 with value (4 30)           3 with value (4 44)
% 1.07/1.29  ;    54 with value (4 16)         67 with value (4 31)           1 with value (4 45)
% 1.07/1.29  ;    36 with value (4 17)        111 with value (4 32)           1 with value (4 46)
% 1.07/1.29  ;    56 with value (4 18)         91 with value (4 33)          13 with value (4 48)
% 1.07/1.29  ;    59 with value (4 19)         82 with value (4 34)           6 with value (4 49)
% 1.07/1.29  ;    64 with value (4 20)
% 1.07/1.29  Evaluation took:
% 1.07/1.29    0.804 seconds of real time
% 1.07/1.29    0.745423 seconds of user run time
% 1.07/1.29    0.059121 seconds of system run time
% 1.07/1.29    [Run times include 0.058 seconds GC run time.]
% 1.07/1.29    0 calls to %EVAL
% 1.07/1.29    0 page faults and
% 1.07/1.29    62,643,096 bytes consed.
% 1.07/1.29  :PROOF-FOUND
% 1.07/1.29  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:26:40
% 1.07/1.29  :PROOF-FOUND
% 1.07/1.29  * 
%------------------------------------------------------------------------------