TSTP Solution File: SWV253-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV253-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 21:32:20 EDT 2022

% Result   : Unsatisfiable 1.04s 1.20s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   3 unt;   1 nHn;   4 RR)
%            Number of literals    :    7 (   6 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
    c_Message_OinvKey(c_Message_OinvKey(X)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( v_K != v_K_H
    | c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
    | v_K = v_K_H ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(2612,plain,
    v_K = v_K_H,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,cls_conjecture_1,theory(equality)]),cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,theory(equality)]) ).

cnf(2613,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,2612,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV253-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 06:07:30 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T06:07:31
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-16T06:07:31
% 0.62/0.81  
% 0.62/0.82  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.62/0.83  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.62/0.83  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86  WARNING:
% 0.69/0.86     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.04/1.20  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 1.04/1.20  
% 1.04/1.20  #||
% 1.04/1.20  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.20  % SZS output start Refutation
% See solution above
% 1.04/1.20  ||#
% 1.04/1.20  
% 1.04/1.20  ; Summary of computation:
% 1.04/1.20  ;      5437 formulas have been input or derived (from 968 formulas).
% 1.04/1.20  ;      2613 (48%) were retained.  Of these,
% 1.04/1.20  ;          327 (13%) were simplified or subsumed later,
% 1.04/1.20  ;         2286 (87%) are still being kept.
% 1.04/1.20  ; 
% 1.04/1.20  ; Run time in seconds:
% 1.04/1.20  ;     0.320  44%   Read assertion file          (1 call)
% 1.04/1.20  ;     0.029   4%   Assert                       (2,758 calls)
% 1.04/1.20  ;     0.153  21%   Process new row              (4,783 calls)
% 1.04/1.20  ;     0.035   5%   Resolution                   (1,934 calls)
% 1.04/1.20  ;     0.006   1%   Paramodulation               (967 calls)
% 1.04/1.20  ;     0.000   0%   Factoring                    (3 calls)
% 1.04/1.20  ;     0.016   2%   Condensing                   (1,661 calls)
% 1.04/1.20  ;     0.025   3%   Forward subsumption          (1,661 calls)
% 1.04/1.20  ;     0.023   3%   Backward subsumption         (1,608 calls)
% 1.04/1.20  ;     0.002   0%   Clause clause subsumption    (455 calls)
% 1.04/1.20  ;     0.038   5%   Forward simplification       (4,196 calls)
% 1.04/1.20  ;     0.015   2%   Backward simplification      (2,470 calls)
% 1.04/1.20  ;     0.002   0%   Ordering                     (1,730 calls)
% 1.04/1.20  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.04/1.20  ;     0.016   2%   Purity testing               (1 call)
% 1.04/1.20  ;     0.041   6%   Other
% 1.04/1.20  ;     0.721        Total
% 1.04/1.20  ;     0.721        Real time
% 1.04/1.20  ; 
% 1.04/1.20  ; Term-hash-array has 4,132 terms in all.
% 1.04/1.20  ; Feature-vector-row-index has 1,481 entries (1,483 at peak, 1,608 added, 127 deleted).
% 1.04/1.20  ; Feature-vector-row-index has 5,338 nodes (5,357 at peak, 6,825 added, 1,487 deleted).
% 1.04/1.20  ;  Retrieved 1,854 possibly forward subsuming rows in 1,661 calls.
% 1.04/1.20  ;  Retrieved 1,882 possibly backward subsumed rows in 1,608 calls.
% 1.04/1.20  ; Path-index has 3,856 entries (3,859 at peak, 4,280 added, 424 deleted).
% 1.04/1.20  ; Path-index has 16,150 nodes (16,154 at peak, 17,030 added, 880 deleted).
% 1.04/1.20  ; Trie-index has 3,856 entries (3,859 at peak, 4,280 added, 424 deleted).
% 1.04/1.20  ; Trie-index has 15,972 nodes (15,977 at peak, 18,551 added, 2,579 deleted).
% 1.04/1.20  ; Retrieved 2,431 generalization terms in 10,226 calls.
% 1.04/1.20  ; Retrieved 1,204 instance terms in 888 calls.
% 1.04/1.20  ; Retrieved 34,807 unifiable terms in 4,607 calls.
% 1.04/1.20  ; 
% 1.04/1.20  ; The agenda of backward simplifiable rows to process has 1 entry:
% 1.04/1.20  ;     1 with value 0
% 1.04/1.20  ; The agenda of input rows to give has 1101 entries:
% 1.04/1.20  ;     3 with value 11             27 with value 28               2 with value 45
% 1.04/1.20  ;    74 with value 12             22 with value 29               2 with value 46
% 1.04/1.20  ;    57 with value 13              9 with value 30               2 with value 48
% 1.04/1.20  ;    68 with value 14             15 with value 31               1 with value 49
% 1.04/1.20  ;    58 with value 15             11 with value 32               4 with value 50
% 1.04/1.20  ;   106 with value 16             14 with value 33               1 with value 51
% 1.04/1.20  ;    96 with value 17             17 with value 34               1 with value 52
% 1.04/1.20  ;    65 with value 18              8 with value 35               2 with value 53
% 1.04/1.20  ;    60 with value 19             17 with value 36               6 with value 56
% 1.04/1.20  ;    46 with value 20              3 with value 37               1 with value 58
% 1.04/1.20  ;    40 with value 21             14 with value 38               2 with value 61
% 1.04/1.20  ;    53 with value 22              5 with value 39               3 with value 62
% 1.04/1.20  ;    68 with value 23             10 with value 40               1 with value 65
% 1.04/1.20  ;    17 with value 24              6 with value 41               1 with value 82
% 1.04/1.20  ;    11 with value 25              1 with value 42               2 with value 85
% 1.04/1.20  ;    22 with value 26              8 with value 43               1 with value 88
% 1.04/1.20  ;    35 with value 27              2 with value 44               1 with value 90
% 1.04/1.20  ; The agenda of rows to give has 223 entries:
% 1.04/1.20  ;     7 with value (4 5)          31 with value (4 9)            1 with value (4 13)
% 1.04/1.20  ;    18 with value (4 6)          32 with value (4 10)          24 with value (4 15)
% 1.04/1.20  ;     1 with value (4 7)          21 with value (4 11)           1 with value (4 18)
% 1.04/1.20  ;    56 with value (4 8)          31 with value (4 12)
% 1.04/1.20  Evaluation took:
% 1.04/1.20    0.722 seconds of real time
% 1.04/1.20    0.677313 seconds of user run time
% 1.04/1.20    0.044873 seconds of system run time
% 1.04/1.20    [Run times include 0.048 seconds GC run time.]
% 1.04/1.20    0 calls to %EVAL
% 1.04/1.20    0 page faults and
% 1.04/1.20    56,310,408 bytes consed.
% 1.04/1.20  :PROOF-FOUND
% 1.04/1.20  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T06:07:31
% 1.04/1.20  :PROOF-FOUND
% 1.04/1.20  * 
%------------------------------------------------------------------------------