TSTP Solution File: LCL447-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL447-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 : Sun Jul 17 14:23:02 EDT 2022

% Result   : Unsatisfiable 0.81s 1.02s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_OK_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(X,c_PropLog_Opl_Oop_A_N_62(Y,X,Z),Z),c_PropLog_Othms(U,Z),tc_PropLog_Opl(Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).

cnf(cls_PropLog_Othms_OMP_0,axiom,
    ( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X,U,Z),c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | c_in(U,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(2438,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms_OMP_0,cls_conjecture_0,cls_PropLog_Othms_OK_0,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL447-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n019.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 : Mon Jul  4 20:23:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T20:23:53
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-04T20:23:53
% 0.36/0.60  
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  WARNING:
% 0.36/0.62     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.81/1.02  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.81/1.02  
% 0.81/1.02  #||
% 0.81/1.02  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/1.02  % SZS output start Refutation
% See solution above
% 0.81/1.02  ||#
% 0.81/1.02  
% 0.81/1.02  ; Summary of computation:
% 0.81/1.02  ;      5619 formulas have been input or derived (from 534 formulas).
% 0.81/1.02  ;      2438 (43%) were retained.  Of these,
% 0.81/1.02  ;           25 ( 1%) were simplified or subsumed later,
% 0.81/1.02  ;         2413 (99%) are still being kept.
% 0.81/1.02  ; 
% 0.81/1.02  ; Run time in seconds:
% 0.81/1.02  ;     0.125  22%   Read assertion file          (1 call)
% 0.81/1.02  ;     0.014   3%   Assert                       (1,371 calls)
% 0.81/1.02  ;     0.191  34%   Process new row              (4,894 calls)
% 0.81/1.02  ;     0.079  14%   Resolution                   (1,066 calls)
% 0.81/1.02  ;     0.004   1%   Paramodulation               (533 calls)
% 0.81/1.02  ;     0.000   0%   Factoring                    (8 calls)
% 0.81/1.02  ;     0.011   2%   Condensing                   (763 calls)
% 0.81/1.02  ;     0.013   2%   Forward subsumption          (763 calls)
% 0.81/1.02  ;     0.014   3%   Backward subsumption         (731 calls)
% 0.81/1.02  ;     0.001   0%   Clause clause subsumption    (272 calls)
% 0.81/1.02  ;     0.039   7%   Forward simplification       (4,128 calls)
% 0.81/1.02  ;     0.014   3%   Backward simplification      (2,437 calls)
% 0.81/1.02  ;     0.001   0%   Ordering                     (854 calls)
% 0.81/1.02  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.81/1.02  ;     0.007   1%   Purity testing               (1 call)
% 0.81/1.02  ;     0.044   8%   Other
% 0.81/1.02  ;     0.558        Total
% 0.81/1.02  ;     0.558        Real time
% 0.81/1.02  ; 
% 0.81/1.02  ; Term-hash-array has 5,511 terms in all.
% 0.81/1.02  ; Feature-vector-row-index has 726 entries (726 at peak, 731 added, 5 deleted).
% 0.81/1.02  ; Feature-vector-row-index has 2,457 nodes (2,457 at peak, 2,485 added, 28 deleted).
% 0.81/1.02  ;  Retrieved 843 possibly forward subsuming rows in 763 calls.
% 0.81/1.02  ;  Retrieved 499 possibly backward subsumed rows in 731 calls.
% 0.81/1.02  ; Path-index has 5,496 entries (5,496 at peak, 5,538 added, 42 deleted).
% 0.81/1.02  ; Path-index has 20,012 nodes (20,012 at peak, 20,052 added, 40 deleted).
% 0.81/1.02  ; Trie-index has 5,496 entries (5,496 at peak, 5,538 added, 42 deleted).
% 0.81/1.02  ; Trie-index has 31,920 nodes (31,920 at peak, 32,113 added, 193 deleted).
% 0.81/1.02  ; Retrieved 2,053 generalization terms in 6,076 calls.
% 0.81/1.02  ; Retrieved 1,848 instance terms in 1,707 calls.
% 0.81/1.02  ; Retrieved 114,663 unifiable terms in 4,390 calls.
% 0.81/1.02  ; 
% 0.81/1.02  ; The agenda of rows to process has 5 entries:
% 0.81/1.02  ;     1 with value 10              1 with value 17               1 with value 24
% 0.81/1.02  ;     1 with value 13              1 with value 21
% 0.81/1.02  ; The agenda of input rows to give has 33 entries:
% 0.81/1.02  ;     2 with value 32              5 with value 41               1 with value 65
% 0.81/1.02  ;     2 with value 33              1 with value 42               1 with value 82
% 0.81/1.02  ;     1 with value 34              2 with value 46               2 with value 85
% 0.81/1.02  ;     3 with value 35              2 with value 56               1 with value 88
% 0.81/1.02  ;     4 with value 38              2 with value 62               1 with value 90
% 0.81/1.02  ;     3 with value 40
% 0.81/1.02  ; The agenda of rows to give has 1846 entries:
% 0.81/1.02  ;     7 with value (4 6)          53 with value (4 23)          15 with value (4 40)
% 0.81/1.02  ;    12 with value (4 7)          35 with value (4 24)           4 with value (4 41)
% 0.81/1.02  ;    14 with value (4 8)          34 with value (4 25)           1 with value (4 42)
% 0.81/1.02  ;    30 with value (4 9)          35 with value (4 26)           6 with value (4 43)
% 0.81/1.02  ;    70 with value (4 10)         38 with value (4 27)           3 with value (4 44)
% 0.81/1.02  ;    28 with value (4 11)         35 with value (4 28)           4 with value (4 45)
% 0.81/1.02  ;    97 with value (4 12)         37 with value (4 29)           2 with value (4 46)
% 0.81/1.02  ;    80 with value (4 13)         24 with value (4 30)           3 with value (4 47)
% 0.81/1.02  ;    93 with value (4 14)         25 with value (4 31)           3 with value (4 48)
% 0.81/1.02  ;   147 with value (4 15)         32 with value (4 32)           2 with value (4 49)
% 0.81/1.02  ;   147 with value (4 16)         15 with value (4 33)           1 with value (4 51)
% 0.81/1.02  ;   142 with value (4 17)         15 with value (4 34)           2 with value (4 52)
% 0.81/1.02  ;   172 with value (4 18)         18 with value (4 35)           1 with value (4 54)
% 0.81/1.02  ;    92 with value (4 19)          7 with value (4 36)           1 with value (4 56)
% 0.81/1.02  ;   100 with value (4 20)         13 with value (4 37)           1 with value (4 57)
% 0.81/1.02  ;    59 with value (4 21)          4 with value (4 38)           1 with value (4 61)
% 0.81/1.02  ;    77 with value (4 22)          9 with value (4 39)
% 0.81/1.02  Evaluation took:
% 0.81/1.02    0.559 seconds of real time
% 0.81/1.02    0.522258 seconds of user run time
% 0.81/1.02    0.036992 seconds of system run time
% 0.81/1.02    [Run times include 0.039 seconds GC run time.]
% 0.81/1.02    0 calls to %EVAL
% 0.81/1.02    0 page faults and
% 0.81/1.02    43,133,912 bytes consed.
% 0.81/1.02  :PROOF-FOUND
% 0.81/1.02  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T20:23:54
% 0.81/1.02  :PROOF-FOUND
% 0.81/1.02  * 
%------------------------------------------------------------------------------