TSTP Solution File: COM010-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM010-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 01:42:40 EDT 2022

% Result   : Unsatisfiable 11.00s 11.20s
% Output   : Refutation 11.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   5 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-4 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_UNITY_Osurjective__mk__program_0,axiom,
    c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X,Y),c_Pair(c_UNITY_OActs(X,Y),c_UNITY_OAllowedActs(X,Y),tc_set(tc_set(tc_prod(Y,Y))),tc_set(tc_set(tc_prod(Y,Y)))),tc_set(Y),tc_prod(tc_set(tc_set(tc_prod(Y,Y))),tc_set(tc_set(tc_prod(Y,Y))))),Y) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Osurjective__mk__program_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    v_F != v_G,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(15221,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_UNITY_Osurjective__mk__program_0,cls_conjecture_0,theory(equality)]),cls_conjecture_3,cls_UNITY_Osurjective__mk__program_0,cls_conjecture_2,cls_conjecture_1,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : COM010-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n004.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 18:50:54 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T18:50:54
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-16T18:50:54
% 0.58/0.82  
% 0.65/0.84  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.65/0.84  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.65/0.85  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 11.00/11.20  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 11.00/11.20  
% 11.00/11.20  #||
% 11.00/11.20  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.00/11.20  % SZS output start Refutation
% See solution above
% 11.00/11.20  ||#
% 11.00/11.20  
% 11.00/11.20  ; Summary of computation:
% 11.00/11.20  ;     29564 formulas have been input or derived (from 2140 formulas).
% 11.00/11.20  ;     15221 (51%) were retained.  Of these,
% 11.00/11.20  ;         2871 (19%) were simplified or subsumed later,
% 11.00/11.20  ;        12350 (81%) are still being kept.
% 11.00/11.20  ; 
% 11.00/11.20  ; Run time in seconds excluding printing time:
% 11.00/11.20  ;     0.316   3%   Read assertion file          (1 call)
% 11.00/11.20  ;     0.040   0%   Assert                       (2,740 calls)
% 11.00/11.20  ;     2.603  24%   Process new row              (27,279 calls)
% 11.00/11.20  ;     1.567  15%   Resolution                   (4,278 calls)
% 11.00/11.20  ;     0.208   2%   Paramodulation               (2,139 calls)
% 11.00/11.20  ;     0.001   0%   Factoring                    (72 calls)
% 11.00/11.20  ;     0.162   2%   Condensing                   (10,808 calls)
% 11.00/11.20  ;     2.435  23%   Forward subsumption          (10,808 calls)
% 11.00/11.20  ;     0.901   8%   Backward subsumption         (9,052 calls)
% 11.00/11.20  ;     0.082   1%   Clause clause subsumption    (14,003 calls)
% 11.00/11.20  ;     1.200  11%   Forward simplification       (25,954 calls)
% 11.00/11.20  ;     0.633   6%   Backward simplification      (15,077 calls)
% 11.00/11.20  ;     0.366   3%   Ordering                     (43,708 calls)
% 11.00/11.20  ;     0.000   0%   Sortal reasoning             (32 calls)
% 11.00/11.20  ;     0.017   0%   Purity testing               (1 call)
% 11.00/11.20  ;     0.173   2%   Other
% 11.00/11.20  ;    10.704        Total
% 11.00/11.20  ;    10.707        Real time
% 11.00/11.20  ; 
% 11.00/11.20  ; Term-hash-array has 40,214 terms in all.
% 11.00/11.21  ; Feature-vector-row-index has 7,478 entries (7,478 at peak, 9,052 added, 1,574 deleted).
% 11.00/11.21  ; Feature-vector-row-index has 59,340 nodes (59,340 at peak, 74,777 added, 15,437 deleted).
% 11.00/11.21  ;  Retrieved 17,985 possibly forward subsuming rows in 10,808 calls.
% 11.00/11.21  ;  Retrieved 5,306 possibly backward subsumed rows in 9,052 calls.
% 11.00/11.21  ; Path-index has 33,762 entries (33,762 at peak, 41,506 added, 7,744 deleted).
% 11.00/11.21  ; Path-index has 133,483 nodes (133,483 at peak, 144,298 added, 10,815 deleted).
% 11.00/11.21  ; Trie-index has 33,762 entries (33,762 at peak, 41,506 added, 7,744 deleted).
% 11.00/11.21  ; Trie-index has 244,415 nodes (244,415 at peak, 300,028 added, 55,613 deleted).
% 11.00/11.21  ; Retrieved 69,517 generalization terms in 185,432 calls.
% 11.00/11.21  ; Retrieved 12,328 instance terms in 6,544 calls.
% 11.00/11.21  ; Retrieved 1,487,646 unifiable terms in 22,599 calls.
% 11.00/11.21  ; 
% 11.00/11.21  ; The agenda of rows to process has 2 entries:
% 11.00/11.21  ;     2 with value 46
% 11.00/11.21  ; The agenda of input rows to give has 44 entries:
% 11.00/11.21  ;     6 with value 45              3 with value 53               1 with value 65
% 11.00/11.21  ;     2 with value 46              1 with value 54               1 with value 82
% 11.00/11.21  ;     1 with value 47              1 with value 55               2 with value 85
% 11.00/11.21  ;     3 with value 48              8 with value 56               1 with value 88
% 11.00/11.21  ;     6 with value 49              2 with value 61               1 with value 90
% 11.00/11.21  ;     2 with value 50              3 with value 62
% 11.00/11.21  ; The agenda of rows to give has 10358 entries:
% 11.00/11.21  ;     2 with value (4 4)         139 with value (4 44)          17 with value (4 84)
% 11.00/11.21  ;     8 with value (4 5)         110 with value (4 45)          19 with value (4 85)
% 11.00/11.21  ;    18 with value (4 6)         103 with value (4 46)          17 with value (4 86)
% 11.00/11.21  ;    13 with value (4 7)          82 with value (4 47)          19 with value (4 87)
% 11.00/11.21  ;    41 with value (4 8)         111 with value (4 48)          15 with value (4 88)
% 11.00/11.21  ;    67 with value (4 9)         110 with value (4 49)           5 with value (4 89)
% 11.00/11.21  ;   129 with value (4 10)         75 with value (4 50)          15 with value (4 90)
% 11.00/11.21  ;    75 with value (4 11)         78 with value (4 51)           9 with value (4 91)
% 11.00/11.21  ;   168 with value (4 12)        126 with value (4 52)           6 with value (4 92)
% 11.00/11.21  ;   156 with value (4 13)         86 with value (4 53)          20 with value (4 93)
% 11.00/11.21  ;   198 with value (4 14)         68 with value (4 54)           4 with value (4 94)
% 11.00/11.21  ;   194 with value (4 15)         72 with value (4 55)          11 with value (4 95)
% 11.00/11.21  ;   203 with value (4 16)         59 with value (4 56)          13 with value (4 96)
% 11.00/11.21  ;   245 with value (4 17)         52 with value (4 57)           9 with value (4 97)
% 11.00/11.21  ;   206 with value (4 18)         43 with value (4 58)           5 with value (4 98)
% 11.00/11.21  ;   260 with value (4 19)         47 with value (4 59)           7 with value (4 99)
% 11.00/11.21  ;   270 with value (4 20)         62 with value (4 60)           3 with value (4 100)
% 11.00/11.21  ;   301 with value (4 21)         39 with value (4 61)           3 with value (4 101)
% 11.00/11.21  ;   282 with value (4 22)         56 with value (4 62)           6 with value (4 102)
% 11.00/11.21  ;   292 with value (4 23)         59 with value (4 63)           1 with value (4 103)
% 11.00/11.21  ;   310 with value (4 24)         41 with value (4 64)           3 with value (4 104)
% 11.00/11.21  ;   302 with value (4 25)         31 with value (4 65)           4 with value (4 105)
% 11.00/11.21  ;   247 with value (4 26)         44 with value (4 66)           7 with value (4 106)
% 11.00/11.21  ;   274 with value (4 27)         69 with value (4 67)           1 with value (4 107)
% 11.00/11.21  ;   286 with value (4 28)         44 with value (4 68)           1 with value (4 109)
% 11.00/11.21  ;   364 with value (4 29)         53 with value (4 69)           1 with value (4 110)
% 11.00/11.21  ;   270 with value (4 30)         36 with value (4 70)           5 with value (4 112)
% 11.00/11.21  ;   267 with value (4 31)         48 with value (4 71)           1 with value (4 113)
% 11.00/11.21  ;   271 with value (4 32)         42 with value (4 72)           2 with value (4 114)
% 11.00/11.21  ;   218 with value (4 33)         21 with value (4 73)           5 with value (4 115)
% 11.00/11.21  ;   217 with value (4 34)         29 with value (4 74)           2 with value (4 116)
% 11.00/11.21  ;   244 with value (4 35)         34 with value (4 75)           3 with value (4 118)
% 11.00/11.21  ;   162 with value (4 36)         38 with value (4 76)           2 with value (4 123)
% 11.00/11.21  ;   232 with value (4 37)         27 with value (4 77)           2 with value (4 126)
% 11.00/11.21  ;   187 with value (4 38)         27 with value (4 78)           2 with value (4 127)
% 11.00/11.21  ;   213 with value (4 39)         30 with value (4 79)           2 with value (4 128)
% 11.00/11.21  ;   178 with value (4 40)         40 with value (4 80)           1 with value (4 142)
% 11.00/11.21  ;   171 with value (4 41)         19 with value (4 81)           1 with value (4 145)
% 11.00/11.21  ;   174 with value (4 42)         10 with value (4 82)           1 with value (4 152)
% 11.00/11.21  ;   118 with value (4 43)         15 with value (4 83)
% 11.00/11.21  Evaluation took:
% 11.00/11.21    10.715 seconds of real time
% 11.00/11.21    9.973906 seconds of user run time
% 11.00/11.21    0.739045 seconds of system run time
% 11.00/11.21    [Run times include 2.822 seconds GC run time.]
% 11.00/11.21    0 calls to %EVAL
% 11.00/11.21    0 page faults and
% 11.00/11.21    662,267,744 bytes consed.
% 11.00/11.21  :PROOF-FOUND
% 11.00/11.21  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T18:51:04
% 11.00/11.21  :PROOF-FOUND
% 11.00/11.21  * 
%------------------------------------------------------------------------------