TSTP Solution File: LAT280-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT280-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 06:43:18 EDT 2022

% Result   : Unsatisfiable 1.29s 1.52s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   1 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_OPartialOrder__iff_2,axiom,
    ( ~ c_in(X,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Y,tc_Product__Type_Ounit))
    | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X,Y,tc_Product__Type_Ounit),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).

cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Relation_Otrans(v_r,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(3957,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_OPartialOrder__iff_2,cls_Tarski_Ocl_A_58_APartialOrder_0]),cls_conjecture_0,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT280-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 29 20:21:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T20:21:08
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-29T20:21:08
% 0.64/0.81  
% 0.64/0.83  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.64/0.83  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.67/0.84  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.87  WARNING:
% 0.67/0.87     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.29/1.52  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 1.29/1.52  
% 1.29/1.52  #||
% 1.29/1.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/1.52  % SZS output start Refutation
% See solution above
% 1.29/1.52  ||#
% 1.29/1.52  
% 1.29/1.52  ; Summary of computation:
% 1.29/1.52  ;      8511 formulas have been input or derived (from 1315 formulas).
% 1.29/1.52  ;      3957 (46%) were retained.  Of these,
% 1.29/1.52  ;          455 (11%) were simplified or subsumed later,
% 1.29/1.52  ;         3502 (89%) are still being kept.
% 1.29/1.52  ; 
% 1.29/1.52  ; Run time in seconds excluding printing time:
% 1.29/1.52  ;     0.333  32%   Read assertion file          (1 call)
% 1.29/1.52  ;     0.041   4%   Assert                       (2,744 calls)
% 1.29/1.52  ;     0.208  20%   Process new row              (7,304 calls)
% 1.29/1.52  ;     0.109  10%   Resolution                   (2,628 calls)
% 1.29/1.52  ;     0.024   2%   Paramodulation               (1,314 calls)
% 1.29/1.52  ;     0.001   0%   Factoring                    (29 calls)
% 1.29/1.52  ;     0.019   2%   Condensing                   (2,224 calls)
% 1.29/1.52  ;     0.035   3%   Forward subsumption          (2,224 calls)
% 1.29/1.52  ;     0.042   4%   Backward subsumption         (2,034 calls)
% 1.29/1.52  ;     0.003   0%   Clause clause subsumption    (966 calls)
% 1.29/1.52  ;     0.098   9%   Forward simplification       (6,706 calls)
% 1.29/1.52  ;     0.047   4%   Backward simplification      (3,813 calls)
% 1.29/1.52  ;     0.011   1%   Ordering                     (4,999 calls)
% 1.29/1.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.29/1.52  ;     0.014   1%   Purity testing               (1 call)
% 1.29/1.52  ;     0.072   7%   Other
% 1.29/1.52  ;     1.057        Total
% 1.29/1.52  ;     1.058        Real time
% 1.29/1.52  ; 
% 1.29/1.52  ; Term-hash-array has 6,986 terms in all.
% 1.29/1.52  ; Feature-vector-row-index has 1,847 entries (1,847 at peak, 2,034 added, 187 deleted).
% 1.29/1.52  ; Feature-vector-row-index has 7,031 nodes (7,031 at peak, 8,953 added, 1,922 deleted).
% 1.29/1.52  ;  Retrieved 2,675 possibly forward subsuming rows in 2,224 calls.
% 1.29/1.52  ;  Retrieved 2,285 possibly backward subsumed rows in 2,034 calls.
% 1.29/1.52  ; Path-index has 6,465 entries (6,465 at peak, 7,161 added, 696 deleted).
% 1.29/1.52  ; Path-index has 26,551 nodes (26,551 at peak, 28,036 added, 1,485 deleted).
% 1.29/1.52  ; Trie-index has 6,465 entries (6,465 at peak, 7,161 added, 696 deleted).
% 1.29/1.52  ; Trie-index has 29,302 nodes (29,302 at peak, 33,567 added, 4,265 deleted).
% 1.29/1.52  ; Retrieved 5,321 generalization terms in 18,160 calls.
% 1.29/1.52  ; Retrieved 2,468 instance terms in 1,831 calls.
% 1.29/1.52  ; Retrieved 140,266 unifiable terms in 7,393 calls.
% 1.29/1.52  ; 
% 1.29/1.52  ; The agenda of rows to process has 1 entry:
% 1.29/1.52  ;     1 with value 19
% 1.29/1.52  ; The agenda of input rows to give has 752 entries:
% 1.29/1.52  ;     4 with value 16             15 with value 31               2 with value 46
% 1.29/1.52  ;    99 with value 17             16 with value 32               2 with value 48
% 1.29/1.52  ;    61 with value 18             14 with value 33               5 with value 49
% 1.29/1.52  ;    63 with value 19             17 with value 34               1 with value 51
% 1.29/1.52  ;    54 with value 20              8 with value 35               1 with value 52
% 1.29/1.52  ;    38 with value 21             18 with value 36               1 with value 53
% 1.29/1.52  ;    48 with value 22              4 with value 37               6 with value 56
% 1.29/1.52  ;    72 with value 23             14 with value 38               1 with value 58
% 1.29/1.52  ;    18 with value 24              5 with value 39               2 with value 61
% 1.29/1.53  ;    15 with value 25              9 with value 40               4 with value 62
% 1.29/1.53  ;    24 with value 26              6 with value 41               1 with value 65
% 1.29/1.53  ;    31 with value 27              1 with value 42               1 with value 82
% 1.29/1.53  ;    23 with value 28              8 with value 43               2 with value 85
% 1.29/1.53  ;    22 with value 29              3 with value 44               1 with value 88
% 1.29/1.53  ;     9 with value 30              2 with value 45               1 with value 90
% 1.29/1.53  ; The agenda of rows to give has 1457 entries:
% 1.29/1.53  ;     2 with value (4 4)          81 with value (4 15)           7 with value (4 25)
% 1.29/1.53  ;     9 with value (4 5)         137 with value (4 16)           5 with value (4 26)
% 1.29/1.53  ;    18 with value (4 6)         117 with value (4 17)          20 with value (4 27)
% 1.29/1.53  ;    13 with value (4 7)          83 with value (4 18)          13 with value (4 28)
% 1.29/1.53  ;    33 with value (4 8)         102 with value (4 19)          13 with value (4 29)
% 1.29/1.53  ;    62 with value (4 9)         105 with value (4 20)           4 with value (4 30)
% 1.29/1.53  ;    86 with value (4 10)         56 with value (4 21)           3 with value (4 31)
% 1.29/1.53  ;    56 with value (4 11)         26 with value (4 22)          14 with value (4 32)
% 1.29/1.53  ;   127 with value (4 12)         21 with value (4 23)           8 with value (4 33)
% 1.29/1.53  ;   114 with value (4 13)          9 with value (4 24)           4 with value (4 34)
% 1.29/1.53  ;   109 with value (4 14)
% 1.29/1.53  Evaluation took:
% 1.29/1.53    1.06 seconds of real time
% 1.29/1.53    0.993798 seconds of user run time
% 1.29/1.53    0.066215 seconds of system run time
% 1.29/1.53    [Run times include 0.083 seconds GC run time.]
% 1.29/1.53    0 calls to %EVAL
% 1.29/1.53    0 page faults and
% 1.29/1.53    80,317,696 bytes consed.
% 1.29/1.53  :PROOF-FOUND
% 1.29/1.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T20:21:09
% 1.29/1.53  :PROOF-FOUND
% 1.29/1.53  * 
%------------------------------------------------------------------------------