TSTP Solution File: SWW215+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW215+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 1.82s 2.06s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_H_I2_J) ).

cnf(4,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_H_I5_J) ).

cnf(28,axiom,
    ( ~ class_Orderings_Opreorder(X)
    | ~ c_Orderings_Oord__class_Oless(X,Y,Z)
    | ~ c_Orderings_Oord__class_Oless(X,Z,U)
    | c_Orderings_Oord__class_Oless(X,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__trans) ).

cnf(40,axiom,
    ( ~ class_Orderings_Oorder(X)
    | c_Orderings_Oord__class_Oless__eq(X,Y,Z)
    | ~ c_Orderings_Oord__class_Oless(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__le__less) ).

cnf(1468,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).

cnf(1477,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).

cnf(1588,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

cnf(2029,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference('UR-RESOLVE',[status(thm)],[40,1588,1477]) ).

cnf(2596,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,1468,4,3]),2029]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWW215+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n021.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun  6 02:08:35 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T02:08:35
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-06T02:08:35
% 0.57/0.73  
% 0.57/0.75  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.57/0.76  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.61/0.77  WARNING:
% 0.61/0.77     |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.77  WARNING:
% 0.61/0.77     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.82/2.06  ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 1.82/2.06  
% 1.82/2.06  #||
% 1.82/2.06  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.06  % SZS output start Refutation
% See solution above
% 1.82/2.06  ||#
% 1.82/2.06  
% 1.82/2.06  ; Summary of computation:
% 1.82/2.06  ;     21718 formulas have been input or derived (from 613 formulas).
% 1.82/2.06  ;      2596 (12%) were retained.  Of these,
% 1.82/2.06  ;           51 ( 2%) were simplified or subsumed later,
% 1.82/2.06  ;         2545 (98%) are still being kept.
% 1.82/2.06  ; 
% 1.82/2.06  ; Run time in seconds excluding printing time:
% 1.82/2.06  ;     0.241  15%   Read assertion file          (1 call)
% 1.82/2.06  ;     0.030   2%   Assert                       (1,278 calls)
% 1.82/2.06  ;     0.170  11%   Process new row              (20,501 calls)
% 1.82/2.06  ;     0.552  35%   Resolution                   (1,224 calls)
% 1.82/2.06  ;     0.007   0%   Paramodulation               (612 calls)
% 1.82/2.06  ;     0.000   0%   Factoring                    (5 calls)
% 1.82/2.06  ;     0.047   3%   Condensing                   (3,960 calls)
% 1.82/2.06  ;     0.084   5%   Forward subsumption          (3,960 calls)
% 1.82/2.06  ;     0.027   2%   Backward subsumption         (1,396 calls)
% 1.82/2.06  ;     0.040   3%   Clause clause subsumption    (4,286 calls)
% 1.82/2.06  ;     0.261  17%   Forward simplification       (20,491 calls)
% 1.82/2.06  ;     0.015   1%   Backward simplification      (2,593 calls)
% 1.82/2.06  ;     0.013   1%   Ordering                     (5,921 calls)
% 1.82/2.06  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.82/2.06  ;     0.003   0%   Purity testing               (1 call)
% 1.82/2.06  ;     0.089   6%   Other
% 1.82/2.06  ;     1.579        Total
% 1.82/2.06  ;     1.581        Real time
% 1.82/2.06  ; 
% 1.82/2.07  ; Term-hash-array has 3,980 terms in all.
% 1.82/2.07  ; Feature-vector-row-index has 1,380 entries (1,380 at peak, 1,396 added, 16 deleted).
% 1.82/2.07  ; Feature-vector-row-index has 6,916 nodes (6,916 at peak, 7,002 added, 86 deleted).
% 1.82/2.07  ;  Retrieved 9,026 possibly forward subsuming rows in 3,960 calls.
% 1.82/2.07  ;  Retrieved 1,518 possibly backward subsumed rows in 1,396 calls.
% 1.82/2.07  ; Path-index has 3,933 entries (3,933 at peak, 4,010 added, 77 deleted).
% 1.82/2.07  ; Path-index has 10,036 nodes (10,036 at peak, 10,139 added, 103 deleted).
% 1.82/2.07  ; Trie-index has 3,933 entries (3,933 at peak, 4,010 added, 77 deleted).
% 1.82/2.07  ; Trie-index has 14,313 nodes (14,313 at peak, 14,614 added, 301 deleted).
% 1.82/2.07  ; Retrieved 53,423 generalization terms in 75,392 calls.
% 1.82/2.07  ; Retrieved 1,719 instance terms in 1,224 calls.
% 1.82/2.07  ; Retrieved 889,176 unifiable terms in 21,993 calls.
% 1.82/2.07  ; 
% 1.82/2.07  ; The agenda of rows to process has 97 entries:
% 1.82/2.07  ;     9 with value 15             12 with value 20               8 with value 25
% 1.82/2.07  ;     6 with value 16              7 with value 21               2 with value 26
% 1.82/2.07  ;    19 with value 17              5 with value 23               5 with value 27
% 1.82/2.07  ;    13 with value 18              6 with value 24               1 with value 30
% 1.82/2.07  ;     4 with value 19
% 1.82/2.07  ; The agenda of input rows to give has 958 entries:
% 1.82/2.07  ;    54 with value 18             66 with value 32               2 with value 46
% 1.82/2.07  ;    22 with value 19             71 with value 33              12 with value 47
% 1.82/2.07  ;    49 with value 20             13 with value 34              22 with value 48
% 1.82/2.07  ;    28 with value 21             35 with value 35               8 with value 49
% 1.82/2.07  ;    51 with value 22             19 with value 36              12 with value 50
% 1.82/2.07  ;    36 with value 23             12 with value 37               5 with value 51
% 1.82/2.07  ;    47 with value 24             14 with value 38               3 with value 53
% 1.82/2.07  ;    37 with value 25             27 with value 39               5 with value 54
% 1.82/2.07  ;    21 with value 26             10 with value 40               1 with value 55
% 1.82/2.07  ;    70 with value 27             16 with value 41               3 with value 58
% 1.82/2.07  ;    34 with value 28              2 with value 42               5 with value 60
% 1.82/2.07  ;    27 with value 29              9 with value 43               1 with value 62
% 1.82/2.07  ;    34 with value 30              5 with value 44               1 with value 64
% 1.82/2.07  ;    40 with value 31             29 with value 45
% 1.82/2.07  ; The agenda of rows to give has 975 entries:
% 1.82/2.07  ;     9 with value (4 4)          75 with value (4 15)          11 with value (4 25)
% 1.82/2.07  ;   177 with value (4 6)          35 with value (4 16)           6 with value (4 26)
% 1.82/2.07  ;    31 with value (4 7)          62 with value (4 17)           9 with value (4 27)
% 1.82/2.07  ;    59 with value (4 8)          36 with value (4 18)           4 with value (4 28)
% 1.82/2.07  ;    33 with value (4 9)          49 with value (4 19)           5 with value (4 29)
% 1.82/2.07  ;    58 with value (4 10)         13 with value (4 20)           2 with value (4 31)
% 1.82/2.07  ;    34 with value (4 11)          8 with value (4 21)           1 with value (4 32)
% 1.82/2.07  ;    56 with value (4 12)         10 with value (4 22)           4 with value (4 33)
% 1.82/2.07  ;    56 with value (4 13)         32 with value (4 23)           2 with value (4 36)
% 1.82/2.07  ;    87 with value (4 14)          3 with value (4 24)           8 with value (4 39)
% 1.82/2.07  Evaluation took:
% 1.82/2.07    1.582 seconds of real time
% 1.82/2.07    1.464683 seconds of user run time
% 1.82/2.07    0.117093 seconds of system run time
% 1.82/2.07    [Run times include 0.095 seconds GC run time.]
% 1.82/2.07    0 calls to %EVAL
% 1.82/2.07    0 page faults and
% 1.82/2.07    118,097,152 bytes consed.
% 1.82/2.07  :PROOF-FOUND
% 1.82/2.07  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T02:08:36
% 1.82/2.07  :PROOF-FOUND
% 1.82/2.07  * 
%------------------------------------------------------------------------------