TSTP Solution File: COL119-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL119-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 : Fri Jul 15 00:41:55 EDT 2022

% Result   : Unsatisfiable 0.85s 1.03s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 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    :    9 (   9 usr;   6 con; 0-4 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Comb_Oparcontract_Ointros__2_0,axiom,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X),Y),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__2_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Pair(v_y_H,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( ~ c_in(c_Pair(v_y_H,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H),v_w),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(2738,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,cls_conjecture_1,cls_Comb_Oparcontract_Ointros__2_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : COL119-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.10  % Command  : run-snark %s %d
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Tue May 31 14:49:28 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.14/0.39  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  * 
% 0.14/0.39  * 
% 0.14/0.40  #<PACKAGE "SNARK-USER">
% 0.14/0.40  * 
% 0.14/0.40  SNARK-TPTP-OPTIONS
% 0.14/0.40  * 
% 0.14/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.40   (USE-FACTORING :POS)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.40  * 
% 0.14/0.40  "."
% 0.14/0.40  * 
% 0.14/0.40  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T14:49:28
% 0.14/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-31T14:49:28
% 0.14/0.53  
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.85/1.03  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.85/1.03  
% 0.85/1.03  #||
% 0.85/1.03  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.85/1.03  % SZS output start Refutation
% See solution above
% 0.85/1.03  ||#
% 0.85/1.03  
% 0.85/1.03  ; Summary of computation:
% 0.85/1.03  ;      6160 formulas have been input or derived (from 552 formulas).
% 0.85/1.03  ;      2738 (44%) were retained.  Of these,
% 0.85/1.03  ;           30 ( 1%) were simplified or subsumed later,
% 0.85/1.03  ;         2708 (99%) are still being kept.
% 0.85/1.03  ; 
% 0.85/1.03  ; Run time in seconds:
% 0.85/1.03  ;     0.118  19%   Read assertion file          (1 call)
% 0.85/1.03  ;     0.017   3%   Assert                       (1,410 calls)
% 0.85/1.03  ;     0.214  34%   Process new row              (5,411 calls)
% 0.85/1.03  ;     0.102  16%   Resolution                   (1,102 calls)
% 0.85/1.03  ;     0.005   1%   Paramodulation               (551 calls)
% 0.85/1.03  ;     0.000   0%   Factoring                    (8 calls)
% 0.85/1.03  ;     0.009   1%   Condensing                   (831 calls)
% 0.85/1.03  ;     0.022   3%   Forward subsumption          (831 calls)
% 0.85/1.03  ;     0.017   3%   Backward subsumption         (799 calls)
% 0.85/1.03  ;     0.002   0%   Clause clause subsumption    (333 calls)
% 0.85/1.03  ;     0.056   9%   Forward simplification       (4,645 calls)
% 0.85/1.03  ;     0.015   2%   Backward simplification      (2,737 calls)
% 0.85/1.03  ;     0.003   0%   Ordering                     (933 calls)
% 0.85/1.03  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.85/1.03  ;     0.008   1%   Purity testing               (1 call)
% 0.85/1.03  ;     0.045   7%   Other
% 0.85/1.03  ;     0.633        Total
% 0.85/1.03  ;     0.634        Real time
% 0.85/1.03  ; 
% 0.85/1.03  ; Term-hash-array has 6,059 terms in all.
% 0.85/1.03  ; Feature-vector-row-index has 794 entries (794 at peak, 799 added, 5 deleted).
% 0.85/1.03  ; Feature-vector-row-index has 3,706 nodes (3,706 at peak, 3,737 added, 31 deleted).
% 0.85/1.03  ;  Retrieved 739 possibly forward subsuming rows in 831 calls.
% 0.85/1.03  ;  Retrieved 456 possibly backward subsumed rows in 799 calls.
% 0.85/1.03  ; Path-index has 6,033 entries (6,033 at peak, 6,091 added, 58 deleted).
% 0.85/1.03  ; Path-index has 20,560 nodes (20,560 at peak, 20,592 added, 32 deleted).
% 0.85/1.03  ; Trie-index has 6,033 entries (6,033 at peak, 6,091 added, 58 deleted).
% 0.85/1.03  ; Trie-index has 36,651 nodes (36,651 at peak, 36,899 added, 248 deleted).
% 0.85/1.03  ; Retrieved 2,429 generalization terms in 7,390 calls.
% 0.85/1.03  ; Retrieved 2,104 instance terms in 1,939 calls.
% 0.85/1.03  ; Retrieved 133,913 unifiable terms in 4,909 calls.
% 0.85/1.03  ; 
% 0.85/1.03  ; The agenda of rows to process has 4 entries:
% 0.85/1.03  ;     1 with value 13              3 with value 19
% 0.85/1.03  ; The agenda of input rows to give has 54 entries:
% 0.85/1.03  ;     1 with value 31              2 with value 46               2 with value 66
% 0.85/1.03  ;     2 with value 32              2 with value 56               2 with value 68
% 0.85/1.03  ;     4 with value 33              1 with value 60               1 with value 71
% 0.85/1.03  ;     3 with value 34              1 with value 61               1 with value 73
% 0.85/1.03  ;     4 with value 35              5 with value 62               1 with value 82
% 0.85/1.03  ;     4 with value 38              1 with value 63               2 with value 85
% 0.85/1.03  ;     3 with value 40              2 with value 64               1 with value 88
% 0.85/1.03  ;     6 with value 41              1 with value 65               1 with value 90
% 0.85/1.03  ;     1 with value 42
% 0.85/1.03  ; The agenda of rows to give has 2102 entries:
% 0.85/1.03  ;     7 with value (4 6)          57 with value (4 24)           4 with value (4 41)
% 0.85/1.03  ;    12 with value (4 7)          36 with value (4 25)           7 with value (4 42)
% 0.85/1.03  ;    16 with value (4 8)          41 with value (4 26)          14 with value (4 43)
% 0.85/1.03  ;    30 with value (4 9)          51 with value (4 27)           5 with value (4 44)
% 0.85/1.03  ;    94 with value (4 10)         31 with value (4 28)           9 with value (4 45)
% 0.85/1.03  ;    36 with value (4 11)         41 with value (4 29)           1 with value (4 46)
% 0.85/1.03  ;   102 with value (4 12)         36 with value (4 30)           3 with value (4 47)
% 0.85/1.03  ;   101 with value (4 13)         31 with value (4 31)           9 with value (4 48)
% 0.85/1.03  ;    82 with value (4 14)         34 with value (4 32)           4 with value (4 49)
% 0.85/1.03  ;   166 with value (4 15)         48 with value (4 33)           3 with value (4 51)
% 0.85/1.03  ;   133 with value (4 16)         25 with value (4 34)           2 with value (4 52)
% 0.85/1.03  ;   146 with value (4 17)         19 with value (4 35)           3 with value (4 54)
% 0.85/1.03  ;   151 with value (4 18)          8 with value (4 36)           5 with value (4 56)
% 0.85/1.03  ;   119 with value (4 19)         14 with value (4 37)           1 with value (4 57)
% 0.85/1.03  ;    94 with value (4 20)         12 with value (4 38)           6 with value (4 60)
% 0.85/1.03  ;    82 with value (4 21)         19 with value (4 39)           5 with value (4 61)
% 0.85/1.03  ;    77 with value (4 22)         16 with value (4 40)           4 with value (4 65)
% 0.85/1.03  ;    50 with value (4 23)
% 0.85/1.03  Evaluation took:
% 0.85/1.03    0.635 seconds of real time
% 0.85/1.03    0.592919 seconds of user run time
% 0.85/1.03    0.042023 seconds of system run time
% 0.85/1.03    [Run times include 0.046 seconds GC run time.]
% 0.85/1.03    0 calls to %EVAL
% 0.85/1.03    0 page faults and
% 0.85/1.03    49,800,408 bytes consed.
% 0.85/1.03  :PROOF-FOUND
% 0.85/1.03  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T14:49:29
% 0.85/1.03  :PROOF-FOUND
% 0.85/1.03  * 
%------------------------------------------------------------------------------