TSTP Solution File: COL116-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL116-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 0.82s 1.00s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   2 RR)
%            Number of literals    :    3 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   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; 0-4 aty)
%            Number of variables   :    2 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Comb_Oparcontract_Ointros__1_0,axiom,
    c_in(c_Pair(X,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__1_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(2037,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_0,cls_Comb_Oparcontract_Ointros__1_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : COL116-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue May 31 08:12:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:12:41
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-31T08:12:41
% 0.47/0.66  
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.82/1.00  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.82/1.00  
% 0.82/1.00  #||
% 0.82/1.00  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.82/1.00  % SZS output start Refutation
% See solution above
% 0.82/1.00  ||#
% 0.82/1.00  
% 0.82/1.00  ; Summary of computation:
% 0.82/1.00  ;      4891 formulas have been input or derived (from 489 formulas).
% 0.82/1.00  ;      2037 (42%) were retained.  Of these,
% 0.82/1.00  ;           13 ( 1%) were simplified or subsumed later,
% 0.82/1.00  ;         2024 (99%) are still being kept.
% 0.82/1.00  ; 
% 0.82/1.00  ; Run time in seconds:
% 0.82/1.00  ;     0.172  32%   Read assertion file          (1 call)
% 0.82/1.00  ;     0.020   4%   Assert                       (1,404 calls)
% 0.82/1.00  ;     0.100  19%   Process new row              (4,219 calls)
% 0.82/1.00  ;     0.086  16%   Resolution                   (976 calls)
% 0.82/1.00  ;     0.003   1%   Paramodulation               (488 calls)
% 0.82/1.00  ;     0.000   0%   Factoring                    (8 calls)
% 0.82/1.00  ;     0.010   2%   Condensing                   (699 calls)
% 0.82/1.00  ;     0.016   3%   Forward subsumption          (699 calls)
% 0.82/1.00  ;     0.019   4%   Backward subsumption         (670 calls)
% 0.82/1.00  ;     0.002   0%   Clause clause subsumption    (268 calls)
% 0.82/1.00  ;     0.032   6%   Forward simplification       (3,453 calls)
% 0.82/1.00  ;     0.021   4%   Backward simplification      (2,036 calls)
% 0.82/1.00  ;     0.003   1%   Ordering                     (640 calls)
% 0.82/1.00  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.82/1.00  ;     0.008   1%   Purity testing               (1 call)
% 0.82/1.00  ;     0.044   8%   Other
% 0.82/1.00  ;     0.536        Total
% 0.82/1.00  ;     0.536        Real time
% 0.82/1.01  ; 
% 0.82/1.01  ; Term-hash-array has 4,323 terms in all.
% 0.82/1.01  ; Feature-vector-row-index has 666 entries (666 at peak, 670 added, 4 deleted).
% 0.82/1.01  ; Feature-vector-row-index has 2,553 nodes (2,553 at peak, 2,571 added, 18 deleted).
% 0.82/1.01  ;  Retrieved 597 possibly forward subsuming rows in 699 calls.
% 0.82/1.01  ;  Retrieved 437 possibly backward subsumed rows in 670 calls.
% 0.82/1.01  ; Path-index has 4,336 entries (4,336 at peak, 4,354 added, 18 deleted).
% 0.82/1.01  ; Path-index has 15,743 nodes (15,743 at peak, 15,771 added, 28 deleted).
% 0.82/1.01  ; Trie-index has 4,336 entries (4,336 at peak, 4,354 added, 18 deleted).
% 0.82/1.01  ; Trie-index has 23,865 nodes (23,865 at peak, 23,939 added, 74 deleted).
% 0.82/1.01  ; Retrieved 1,583 generalization terms in 4,561 calls.
% 0.82/1.01  ; Retrieved 1,474 instance terms in 1,367 calls.
% 0.82/1.01  ; Retrieved 81,753 unifiable terms in 3,613 calls.
% 0.82/1.01  ; 
% 0.82/1.01  ; The agenda of rows to process has 21 entries:
% 0.82/1.01  ;     3 with value 11              1 with value 25               2 with value 28
% 0.82/1.01  ;     1 with value 13              7 with value 26               3 with value 32
% 0.82/1.01  ;     2 with value 21              1 with value 27               1 with value 37
% 0.82/1.01  ; The agenda of input rows to give has 111 entries:
% 0.82/1.01  ;    13 with value 21              3 with value 34               1 with value 63
% 0.82/1.01  ;     5 with value 22              4 with value 35               2 with value 64
% 0.82/1.01  ;     4 with value 23              4 with value 38               1 with value 65
% 0.82/1.01  ;     2 with value 24              3 with value 40               2 with value 66
% 0.82/1.01  ;     3 with value 25              6 with value 41               2 with value 68
% 0.82/1.01  ;     7 with value 26              1 with value 42               1 with value 71
% 0.82/1.01  ;    11 with value 27              2 with value 46               1 with value 73
% 0.82/1.01  ;     2 with value 28              2 with value 56               1 with value 82
% 0.82/1.01  ;     7 with value 29              1 with value 60               2 with value 85
% 0.82/1.01  ;     4 with value 30              1 with value 61               1 with value 88
% 0.82/1.01  ;     2 with value 32              5 with value 62               1 with value 90
% 0.82/1.01  ;     4 with value 33
% 0.82/1.01  ; The agenda of rows to give has 1424 entries:
% 0.82/1.01  ;     7 with value (4 6)          47 with value (4 21)           2 with value (4 36)
% 0.82/1.01  ;    12 with value (4 7)          55 with value (4 22)           5 with value (4 37)
% 0.82/1.01  ;    16 with value (4 8)          36 with value (4 23)           6 with value (4 38)
% 0.82/1.01  ;    30 with value (4 9)          48 with value (4 24)           5 with value (4 39)
% 0.82/1.01  ;    81 with value (4 10)         25 with value (4 25)           6 with value (4 40)
% 0.82/1.01  ;    30 with value (4 11)         19 with value (4 26)           2 with value (4 41)
% 0.82/1.01  ;   101 with value (4 12)         33 with value (4 27)           6 with value (4 43)
% 0.82/1.01  ;    97 with value (4 13)         14 with value (4 28)           5 with value (4 44)
% 0.82/1.01  ;    71 with value (4 14)         19 with value (4 29)           3 with value (4 45)
% 0.82/1.01  ;   121 with value (4 15)         16 with value (4 30)           1 with value (4 47)
% 0.82/1.01  ;    98 with value (4 16)         20 with value (4 31)           4 with value (4 48)
% 0.82/1.01  ;    85 with value (4 17)         31 with value (4 32)           1 with value (4 51)
% 0.82/1.01  ;    72 with value (4 18)         13 with value (4 33)           1 with value (4 54)
% 0.82/1.01  ;    86 with value (4 19)          5 with value (4 34)           1 with value (4 57)
% 0.82/1.01  ;    74 with value (4 20)         13 with value (4 35)           1 with value (4 61)
% 0.82/1.01  Evaluation took:
% 0.82/1.01    0.537 seconds of real time
% 0.82/1.01    0.499742 seconds of user run time
% 0.82/1.01    0.037279 seconds of system run time
% 0.82/1.01    [Run times include 0.024 seconds GC run time.]
% 0.82/1.01    0 calls to %EVAL
% 0.82/1.01    0 page faults and
% 0.82/1.01    37,327,432 bytes consed.
% 0.82/1.01  :PROOF-FOUND
% 0.82/1.01  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:12:41
% 0.82/1.01  :PROOF-FOUND
% 0.82/1.01  * 
%------------------------------------------------------------------------------