TSTP Solution File: SWW209+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW209+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 01:24:42 EDT 2022

% Result   : Theorem 1.15s 1.37s
% Output   : Refutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   1 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-4 aty)
%            Number of variables   :   10 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X,Y)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X),hAPP(v_f____,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096) ).

cnf(3,axiom,
    ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X,Y)
    | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X),hAPP(v_ga____,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096) ).

cnf(7,axiom,
    hAPP(hAPP(c_Fun_Ocomp(X,Y,Z,U),V),W) = hAPP(U,hAPP(V,W)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_o__apply) ).

cnf(1455,negated_conjecture,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,'SKOLEMAAAV53','SKOLEMAAAV54'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

cnf(1456,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),'SKOLEMAAAV53'),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),'SKOLEMAAAV54')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

cnf(1457,plain,
    ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,'SKOLEMAAAV53')),hAPP(v_f____,hAPP(v_ga____,'SKOLEMAAAV54'))),
    inference('REWRITE',[status(thm)],[1456,7,theory(equality)]) ).

cnf(1850,plain,
    c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,'SKOLEMAAAV53'),hAPP(v_ga____,'SKOLEMAAAV54')),
    inference('HYPERRESOLVE',[status(thm)],[3,1455]) ).

cnf(1952,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,1457]),1850]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWW209+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun  4 07:55:44 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T07:55:44
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-04T07:55:44
% 0.57/0.75  WARNING:
% 0.57/0.75     |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.75  WARNING:
% 0.57/0.75     |c_Record_Oiso__tuple__update__accessor__cong__assist| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.75  WARNING:
% 0.57/0.75     |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.57/0.75  WARNING:
% 0.57/0.75     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.57/0.75  WARNING:
% 0.57/0.75     |c_Nat__Transfer_Otransfer__morphism| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 1.15/1.37  
% 1.15/1.37  
% 1.15/1.37  #||
% 1.15/1.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.15/1.37  % SZS output start Refutation
% See solution above
% 1.15/1.37  ||#
% 1.15/1.37  
% 1.15/1.37  ; Summary of computation:
% 1.15/1.37  ;      7861 formulas have been input or derived (from 355 formulas).
% 1.15/1.37  ;      1952 (25%) were retained.  Of these,
% 1.15/1.37  ;          283 (14%) were simplified or subsumed later,
% 1.15/1.37  ;         1669 (86%) are still being kept.
% 1.15/1.37  ; 
% 1.15/1.37  ; Run time in seconds:
% 1.15/1.37  ;     0.228  25%   Read assertion file          (1 call)
% 1.15/1.37  ;     0.032   4%   Assert                       (1,161 calls)
% 1.15/1.37  ;     0.176  20%   Process new row              (6,942 calls)
% 1.15/1.37  ;     0.117  13%   Resolution                   (708 calls)
% 1.15/1.37  ;     0.010   1%   Paramodulation               (354 calls)
% 1.15/1.37  ;     0.000   0%   Factoring                    (6 calls)
% 1.15/1.37  ;     0.029   3%   Condensing                   (1,719 calls)
% 1.15/1.37  ;     0.073   8%   Forward subsumption          (1,719 calls)
% 1.15/1.37  ;     0.036   4%   Backward subsumption         (1,290 calls)
% 1.15/1.37  ;     0.006   1%   Clause clause subsumption    (1,467 calls)
% 1.15/1.37  ;     0.120  13%   Forward simplification       (6,836 calls)
% 1.15/1.37  ;     0.016   2%   Backward simplification      (1,866 calls)
% 1.15/1.37  ;     0.007   1%   Ordering                     (3,576 calls)
% 1.15/1.37  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.15/1.37  ;     0.004   0%   Purity testing               (1 call)
% 1.15/1.37  ;     0.040   4%   Other
% 1.15/1.37  ;     0.895        Total
% 1.15/1.37  ;     0.896        Real time
% 1.15/1.37  ; 
% 1.15/1.37  ; Term-hash-array has 3,255 terms in all.
% 1.15/1.37  ; Feature-vector-row-index has 1,142 entries (1,142 at peak, 1,290 added, 148 deleted).
% 1.15/1.37  ; Feature-vector-row-index has 9,875 nodes (9,875 at peak, 11,979 added, 2,104 deleted).
% 1.15/1.37  ;  Retrieved 1,510 possibly forward subsuming rows in 1,719 calls.
% 1.15/1.37  ;  Retrieved 427 possibly backward subsumed rows in 1,290 calls.
% 1.15/1.37  ; Path-index has 2,998 entries (2,998 at peak, 3,352 added, 354 deleted).
% 1.15/1.37  ; Path-index has 6,848 nodes (6,848 at peak, 7,225 added, 377 deleted).
% 1.15/1.37  ; Trie-index has 2,998 entries (2,998 at peak, 3,352 added, 354 deleted).
% 1.15/1.37  ; Trie-index has 10,301 nodes (10,301 at peak, 11,806 added, 1,505 deleted).
% 1.15/1.37  ; Retrieved 15,110 generalization terms in 27,444 calls.
% 1.15/1.37  ; Retrieved 1,153 instance terms in 629 calls.
% 1.15/1.37  ; Retrieved 155,338 unifiable terms in 4,938 calls.
% 1.15/1.37  ; 
% 1.15/1.37  ; The agenda of rows to process has 7 entries:
% 1.15/1.37  ;     2 with value 18              1 with value 20               1 with value 30
% 1.15/1.37  ;     1 with value 19              2 with value 21
% 1.15/1.37  ; The agenda of input rows to give has 1002 entries:
% 1.15/1.37  ;     1 with value 15             32 with value 33               5 with value 51
% 1.15/1.37  ;    48 with value 16             14 with value 34               6 with value 52
% 1.15/1.37  ;    51 with value 17             27 with value 35               6 with value 53
% 1.15/1.37  ;    74 with value 18             10 with value 36               5 with value 54
% 1.15/1.37  ;    34 with value 19             19 with value 37               7 with value 55
% 1.15/1.37  ;    36 with value 20             17 with value 38               3 with value 56
% 1.15/1.37  ;    54 with value 21             10 with value 39               3 with value 57
% 1.15/1.37  ;    39 with value 22             12 with value 40               1 with value 58
% 1.15/1.37  ;    34 with value 23             20 with value 41               2 with value 61
% 1.15/1.37  ;    32 with value 24             17 with value 42               3 with value 62
% 1.15/1.37  ;    60 with value 25              8 with value 43               2 with value 63
% 1.15/1.37  ;    42 with value 26              5 with value 44               2 with value 65
% 1.15/1.37  ;    45 with value 27              6 with value 45               2 with value 66
% 1.15/1.37  ;    44 with value 28              7 with value 46               1 with value 68
% 1.15/1.37  ;    30 with value 29              4 with value 47               1 with value 78
% 1.15/1.37  ;    34 with value 30              8 with value 48               1 with value 89
% 1.15/1.37  ;    41 with value 31              1 with value 49               1 with value 92
% 1.15/1.37  ;    31 with value 32              4 with value 50
% 1.15/1.37  ; The agenda of rows to give has 321 entries:
% 1.15/1.37  ;     1 with value (4 5)          28 with value (4 12)          21 with value (4 19)
% 1.15/1.37  ;     4 with value (4 6)          32 with value (4 13)          11 with value (4 20)
% 1.15/1.37  ;    21 with value (4 7)          15 with value (4 14)          10 with value (4 21)
% 1.15/1.37  ;     4 with value (4 8)          37 with value (4 15)           6 with value (4 22)
% 1.15/1.37  ;     7 with value (4 9)          33 with value (4 16)           7 with value (4 23)
% 1.15/1.37  ;    12 with value (4 10)         28 with value (4 17)           3 with value (4 24)
% 1.15/1.37  ;    25 with value (4 11)         15 with value (4 18)           1 with value (4 25)
% 1.15/1.37  Evaluation took:
% 1.15/1.37    0.897 seconds of real time
% 1.15/1.37    0.834313 seconds of user run time
% 1.15/1.37    0.062669 seconds of system run time
% 1.15/1.37    [Run times include 0.067 seconds GC run time.]
% 1.15/1.37    0 calls to %EVAL
% 1.15/1.37    0 page faults and
% 1.15/1.37    65,070,872 bytes consed.
% 1.15/1.37  :PROOF-FOUND
% 1.15/1.37  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T07:55:45
% 1.15/1.37  :PROOF-FOUND
% 1.15/1.37  * 
%------------------------------------------------------------------------------