TSTP Solution File: SWW246+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW246+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 01:24:46 EDT 2022

% Result   : Theorem 1.97s 2.18s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (   5 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :    7 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(29,axiom,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X,Y,Z)
    | hAPP(Z,'SKOLEMAAAU2'(Z)) != hAPP(Z,'SKOLEMAAAU3'(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_constant__def) ).

cnf(75,axiom,
    ( ~ class_Rings_Oidom(t_a)
    | ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__C0_C) ).

cnf(80,axiom,
    ( ~ class_Rings_Oidom(X)
    | hAPP(c_Polynomial_Opoly(X,Y),Z) = c_Groups_Ozero__class_Ozero(X)
    | Y != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__root) ).

cnf(1133,hypothesis,
    class_Rings_Oidom(t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0) ).

cnf(1135,plain,
    ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
    inference('REWRITE',[status(thm)],[75,1133]) ).

cnf(1480,plain,
    hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),'SKOLEMAAAU2'(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),'SKOLEMAAAU3'(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
    inference('UR-RESOLVE',[status(thm)],[29,1135]) ).

cnf(2636,plain,
    hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X) = c_Groups_Ozero__class_Ozero(t_a),
    inference('HYPERRESOLVE',[status(thm)],[80,1133,theory(equality)]) ).

cnf(2637,plain,
    $false,
    inference('REWRITE',[status(thm)],[1480,2636,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW246+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n026.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 : Sun Jun  5 20:55:45 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T20:55:45
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-05T20:55:45
% 0.64/0.79  WARNING:
% 0.64/0.79     |c_Orderings_Oorder_Ostrict__mono| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Fields_Olinordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Fields_Olinordered__field__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_RealVector_Oreal__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_RealVector_Oreal__normed__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Fields_Ofield__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Rings_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Rings_Odivision__ring__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Fields_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_RealVector_Oreal__normed__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.64/0.79  WARNING:
% 0.64/0.79     |c_Orderings_Oorder_Omono| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 1.97/2.18  
% 1.97/2.18  
% 1.97/2.18  #||
% 1.97/2.18  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/2.18  % SZS output start Refutation
% See solution above
% 1.97/2.18  ||#
% 1.97/2.18  
% 1.97/2.18  ; Summary of computation:
% 1.97/2.18  ;     18716 formulas have been input or derived (from 494 formulas).
% 1.97/2.18  ;      2637 (14%) were retained.  Of these,
% 1.97/2.18  ;          142 ( 5%) were simplified or subsumed later,
% 1.97/2.18  ;         2495 (95%) are still being kept.
% 1.97/2.18  ; 
% 1.97/2.18  ; Run time in seconds excluding printing time:
% 1.97/2.18  ;     0.260  15%   Read assertion file          (1 call)
% 1.97/2.18  ;     0.027   2%   Assert                       (1,199 calls)
% 1.97/2.18  ;     0.232  14%   Process new row              (16,015 calls)
% 1.97/2.18  ;     0.366  22%   Resolution                   (986 calls)
% 1.97/2.18  ;     0.022   1%   Paramodulation               (493 calls)
% 1.97/2.18  ;     0.000   0%   Factoring                    (6 calls)
% 1.97/2.18  ;     0.046   3%   Condensing                   (3,915 calls)
% 1.97/2.18  ;     0.186  11%   Forward subsumption          (3,914 calls)
% 1.97/2.18  ;     0.033   2%   Backward subsumption         (1,377 calls)
% 1.97/2.18  ;     0.059   3%   Clause clause subsumption    (4,328 calls)
% 1.97/2.18  ;     0.316  19%   Forward simplification       (15,726 calls)
% 1.97/2.18  ;     0.021   1%   Backward simplification      (2,596 calls)
% 1.97/2.18  ;     0.069   4%   Ordering                     (18,280 calls)
% 1.97/2.18  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.97/2.18  ;     0.004   0%   Purity testing               (1 call)
% 1.97/2.18  ;     0.049   3%   Other
% 1.97/2.18  ;     1.690        Total
% 1.97/2.18  ;     1.692        Real time
% 1.97/2.18  ; 
% 1.97/2.18  ; Term-hash-array has 6,084 terms in all.
% 1.97/2.18  ; Feature-vector-row-index has 1,319 entries (1,320 at peak, 1,377 added, 58 deleted).
% 1.97/2.18  ; Feature-vector-row-index has 9,766 nodes (9,805 at peak, 10,441 added, 675 deleted).
% 1.97/2.18  ;  Retrieved 5,756 possibly forward subsuming rows in 3,914 calls.
% 1.97/2.18  ;  Retrieved 866 possibly backward subsumed rows in 1,377 calls.
% 1.97/2.18  ; Path-index has 5,887 entries (5,916 at peak, 6,134 added, 247 deleted).
% 1.97/2.18  ; Path-index has 12,538 nodes (12,629 at peak, 12,816 added, 278 deleted).
% 1.97/2.18  ; Trie-index has 5,887 entries (5,916 at peak, 6,134 added, 247 deleted).
% 1.97/2.18  ; Trie-index has 29,045 nodes (29,272 at peak, 30,352 added, 1,307 deleted).
% 1.97/2.18  ; Retrieved 49,318 generalization terms in 83,721 calls.
% 1.97/2.18  ; Retrieved 2,298 instance terms in 1,497 calls.
% 1.97/2.18  ; Retrieved 634,188 unifiable terms in 13,566 calls.
% 1.97/2.18  ; 
% 1.97/2.18  ; The agenda of backward simplifiable rows to process has 1 entry:
% 1.97/2.18  ;     1 with value 0
% 1.97/2.18  ; The agenda of rows to process has 70 entries:
% 1.97/2.18  ;     2 with value 16             32 with value 24               4 with value 29
% 1.97/2.18  ;     4 with value 20              8 with value 27               4 with value 30
% 1.97/2.18  ;    16 with value 23
% 1.97/2.18  ; The agenda of input rows to give has 575 entries:
% 1.97/2.18  ;    31 with value 22             11 with value 39               2 with value 57
% 1.97/2.18  ;    36 with value 23             16 with value 40               4 with value 58
% 1.97/2.18  ;    37 with value 24             10 with value 41               5 with value 60
% 1.97/2.18  ;    36 with value 25              7 with value 42               2 with value 64
% 1.97/2.18  ;    31 with value 26              6 with value 43               2 with value 65
% 1.97/2.18  ;    31 with value 27              4 with value 44               1 with value 68
% 1.97/2.18  ;    31 with value 28              6 with value 45               1 with value 70
% 1.97/2.18  ;    28 with value 29              6 with value 46               1 with value 71
% 1.97/2.18  ;    23 with value 30              7 with value 47               1 with value 75
% 1.97/2.18  ;    33 with value 31              4 with value 48               1 with value 78
% 1.97/2.18  ;    26 with value 32              6 with value 49               1 with value 79
% 1.97/2.18  ;    30 with value 33              2 with value 50               2 with value 84
% 1.97/2.18  ;    27 with value 34              6 with value 51               2 with value 85
% 1.97/2.18  ;    12 with value 35              1 with value 52               1 with value 88
% 1.97/2.18  ;    11 with value 36              4 with value 53               1 with value 95
% 1.97/2.18  ;    19 with value 37              2 with value 54               1 with value 123
% 1.97/2.18  ;     5 with value 38              1 with value 55               1 with value 124
% 1.97/2.18  ; The agenda of rows to give has 1427 entries:
% 1.97/2.18  ;    35 with value (4 4)          33 with value (4 20)          23 with value (4 34)
% 1.97/2.18  ;    82 with value (4 6)          75 with value (4 21)           2 with value (4 35)
% 1.97/2.18  ;    15 with value (4 7)          44 with value (4 22)           8 with value (4 36)
% 1.97/2.18  ;     1 with value (4 8)          93 with value (4 23)           1 with value (4 37)
% 1.97/2.18  ;     5 with value (4 9)          67 with value (4 24)           9 with value (4 38)
% 1.97/2.18  ;     4 with value (4 10)         91 with value (4 25)          17 with value (4 39)
% 1.97/2.18  ;     9 with value (4 11)         68 with value (4 26)           4 with value (4 40)
% 1.97/2.18  ;    20 with value (4 12)         60 with value (4 27)           8 with value (4 42)
% 1.97/2.18  ;    38 with value (4 13)         77 with value (4 28)           4 with value (4 43)
% 1.97/2.18  ;    32 with value (4 14)         71 with value (4 29)           2 with value (4 44)
% 1.97/2.18  ;    38 with value (4 15)         56 with value (4 30)           8 with value (4 45)
% 1.97/2.18  ;    45 with value (4 16)         44 with value (4 31)           4 with value (4 47)
% 1.97/2.18  ;    40 with value (4 17)         56 with value (4 32)           4 with value (4 49)
% 1.97/2.18  ;    32 with value (4 18)         38 with value (4 33)           4 with value (4 55)
% 1.97/2.18  ;    60 with value (4 19)
% 1.97/2.18  Evaluation took:
% 1.97/2.18    1.693 seconds of real time
% 1.97/2.18    1.572222 seconds of user run time
% 1.97/2.18    0.119828 seconds of system run time
% 1.97/2.18    [Run times include 0.127 seconds GC run time.]
% 1.97/2.18    0 calls to %EVAL
% 1.97/2.18    0 page faults and
% 1.97/2.18    136,220,680 bytes consed.
% 1.97/2.18  :PROOF-FOUND
% 1.97/2.18  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T20:55:47
% 1.97/2.18  :PROOF-FOUND
% 1.97/2.18  * 
%------------------------------------------------------------------------------