TSTP Solution File: LCL435-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL435-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:22:52 EDT 2022

% Result   : Unsatisfiable 0.77s 0.97s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   2 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   3 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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).

cnf(cls_PropLog_Oweaken__right_0,axiom,
    ( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | c_in(c_PropLog_Opl_Oop_A_N_62(U,X,Z),c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_pa,t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(2068,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Oweaken__right_0,cls_PropLog_Othms_OK_0,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL435-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.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 : Mon Jul  4 09:05:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T09:05:51
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-04T09:05:51
% 0.47/0.64  
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.97  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.77/0.97  
% 0.77/0.97  #||
% 0.77/0.97  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.97  % SZS output start Refutation
% See solution above
% 0.77/0.98  ||#
% 0.77/0.98  
% 0.77/0.98  ; Summary of computation:
% 0.77/0.98  ;      4933 formulas have been input or derived (from 500 formulas).
% 0.77/0.98  ;      2068 (42%) were retained.  Of these,
% 0.77/0.98  ;           13 ( 1%) were simplified or subsumed later,
% 0.77/0.98  ;         2055 (99%) are still being kept.
% 0.77/0.98  ; 
% 0.77/0.98  ; Run time in seconds:
% 0.77/0.98  ;     0.147  30%   Read assertion file          (1 call)
% 0.77/0.98  ;     0.020   4%   Assert                       (1,374 calls)
% 0.77/0.98  ;     0.120  24%   Process new row              (4,246 calls)
% 0.77/0.98  ;     0.057  11%   Resolution                   (998 calls)
% 0.77/0.98  ;     0.002   0%   Paramodulation               (499 calls)
% 0.77/0.98  ;     0.000   0%   Factoring                    (8 calls)
% 0.77/0.98  ;     0.010   2%   Condensing                   (706 calls)
% 0.77/0.98  ;     0.013   3%   Forward subsumption          (706 calls)
% 0.77/0.98  ;     0.018   4%   Backward subsumption         (676 calls)
% 0.77/0.98  ;     0.002   0%   Clause clause subsumption    (278 calls)
% 0.77/0.98  ;     0.043   9%   Forward simplification       (3,480 calls)
% 0.77/0.98  ;     0.015   3%   Backward simplification      (2,067 calls)
% 0.77/0.98  ;     0.002   0%   Ordering                     (721 calls)
% 0.77/0.98  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.98  ;     0.007   1%   Purity testing               (1 call)
% 0.77/0.98  ;     0.041   8%   Other
% 0.77/0.98  ;     0.497        Total
% 0.77/0.98  ;     0.498        Real time
% 0.77/0.98  ; 
% 0.77/0.98  ; Term-hash-array has 4,469 terms in all.
% 0.77/0.98  ; Feature-vector-row-index has 672 entries (672 at peak, 676 added, 4 deleted).
% 0.77/0.98  ; Feature-vector-row-index has 2,085 nodes (2,085 at peak, 2,100 added, 15 deleted).
% 0.77/0.98  ;  Retrieved 775 possibly forward subsuming rows in 706 calls.
% 0.77/0.98  ;  Retrieved 487 possibly backward subsumed rows in 676 calls.
% 0.77/0.98  ; Path-index has 4,479 entries (4,479 at peak, 4,497 added, 18 deleted).
% 0.77/0.98  ; Path-index has 17,070 nodes (17,070 at peak, 17,098 added, 28 deleted).
% 0.77/0.98  ; Trie-index has 4,479 entries (4,479 at peak, 4,497 added, 18 deleted).
% 0.77/0.98  ; Trie-index has 24,810 nodes (24,810 at peak, 24,884 added, 74 deleted).
% 0.77/0.98  ; Retrieved 1,606 generalization terms in 4,654 calls.
% 0.77/0.98  ; Retrieved 1,488 instance terms in 1,392 calls.
% 0.77/0.98  ; Retrieved 85,055 unifiable terms in 3,738 calls.
% 0.77/0.98  ; 
% 0.77/0.98  ; The agenda of rows to process has 5 entries:
% 0.77/0.98  ;     3 with value 17              1 with value 21               1 with value 25
% 0.77/0.98  ; The agenda of input rows to give has 70 entries:
% 0.77/0.98  ;     5 with value 22              2 with value 32               2 with value 46
% 0.77/0.98  ;     4 with value 23              2 with value 33               2 with value 56
% 0.77/0.98  ;     2 with value 24              1 with value 34               2 with value 62
% 0.77/0.98  ;     7 with value 26              3 with value 35               1 with value 65
% 0.77/0.98  ;     9 with value 27              4 with value 38               1 with value 82
% 0.77/0.98  ;     2 with value 28              3 with value 40               2 with value 85
% 0.77/0.98  ;     6 with value 29              5 with value 41               1 with value 88
% 0.77/0.98  ;     2 with value 30              1 with value 42               1 with value 90
% 0.77/0.98  ; The agenda of rows to give has 1485 entries:
% 0.77/0.98  ;     7 with value (4 6)          59 with value (4 22)           6 with value (4 37)
% 0.77/0.98  ;    12 with value (4 7)          40 with value (4 23)           4 with value (4 38)
% 0.77/0.98  ;    14 with value (4 8)          30 with value (4 24)           2 with value (4 39)
% 0.77/0.98  ;    30 with value (4 9)          40 with value (4 25)           9 with value (4 40)
% 0.77/0.98  ;    67 with value (4 10)         25 with value (4 26)           3 with value (4 41)
% 0.77/0.98  ;    24 with value (4 11)         36 with value (4 27)           7 with value (4 43)
% 0.77/0.98  ;    97 with value (4 12)         24 with value (4 28)           5 with value (4 44)
% 0.77/0.98  ;    77 with value (4 13)         22 with value (4 29)           3 with value (4 45)
% 0.77/0.98  ;    84 with value (4 14)         24 with value (4 30)           1 with value (4 47)
% 0.77/0.98  ;   115 with value (4 15)         19 with value (4 31)           2 with value (4 48)
% 0.77/0.98  ;   129 with value (4 16)         31 with value (4 32)           2 with value (4 49)
% 0.77/0.98  ;    86 with value (4 17)         11 with value (4 33)           1 with value (4 51)
% 0.77/0.98  ;   102 with value (4 18)          9 with value (4 34)           1 with value (4 54)
% 0.77/0.98  ;    75 with value (4 19)         14 with value (4 35)           1 with value (4 57)
% 0.77/0.98  ;    81 with value (4 20)          6 with value (4 36)           1 with value (4 61)
% 0.77/0.98  ;    47 with value (4 21)
% 0.77/0.98  Evaluation took:
% 0.77/0.98    0.499 seconds of real time
% 0.77/0.98    0.46979 seconds of user run time
% 0.77/0.98    0.029132 seconds of system run time
% 0.77/0.98    [Run times include 0.023 seconds GC run time.]
% 0.77/0.98    0 calls to %EVAL
% 0.77/0.98    0 page faults and
% 0.77/0.98    37,060,016 bytes consed.
% 0.77/0.98  :PROOF-FOUND
% 0.77/0.98  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T09:05:52
% 0.77/0.98  :PROOF-FOUND
% 0.77/0.98  * 
%------------------------------------------------------------------------------