TSTP Solution File: SWV633-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV633-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 : Wed Jul 20 21:35:32 EDT 2022

% Result   : Unsatisfiable 0.77s 0.95s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   5 RR)
%            Number of literals    :    8 (   7 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    :   16 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_mult__Suc_0,axiom,
    c_HOL_Otimes__class_Otimes(c_Suc(X),Y,tc_nat) = c_HOL_Oplus__class_Oplus(Y,c_HOL_Otimes__class_Otimes(X,Y,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc_0) ).

cnf(cls_One__nat__def_0,axiom,
    c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_One__nat__def_0) ).

cnf(cls_add__mult__distrib2_0,axiom,
    c_HOL_Otimes__class_Otimes(X,c_HOL_Oplus__class_Oplus(Y,Z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X,Y,tc_nat),c_HOL_Otimes__class_Otimes(X,Z,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mult__distrib2_0) ).

cnf(cls_nat__mult__1_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X,tc_nat) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__1_0) ).

cnf(cls_numeral__2__eq__2_0,axiom,
    c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_numeral__2__eq__2_0) ).

cnf(791,plain,
    c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_HOL_Oone__class_Oone(tc_nat)),
    inference('REWRITE',[status(thm)],[cls_numeral__2__eq__2_0,cls_One__nat__def_0,theory(equality)]) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(977,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_add__mult__distrib2_0,cls_nat__mult__1_0,cls_mult__Suc_0,791,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV633-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 10:28:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.47  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-15T10:28:50
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-15T10:28:50
% 0.60/0.76  
% 0.60/0.76  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.60/0.76  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.95  ; Recognized right identity assertion (= (|c_Int_Onumber__class_Onumber__of| ?X |tc_Int_Oint|) ?X).
% 0.77/0.95  
% 0.77/0.95  #||
% 0.77/0.95  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.95  % SZS output start Refutation
% See solution above
% 0.77/0.95  ||#
% 0.77/0.95  
% 0.77/0.95  ; Summary of computation:
% 0.77/0.95  ;      1610 formulas have been input or derived (from 1 formulas).
% 0.77/0.95  ;       977 (61%) were retained.  Of these,
% 0.77/0.95  ;          139 (14%) were simplified or subsumed later,
% 0.77/0.95  ;          838 (86%) are still being kept.
% 0.77/0.95  ; 
% 0.77/0.95  ; Run time in seconds excluding printing time:
% 0.77/0.95  ;     0.274  57%   Read assertion file          (1 call)
% 0.77/0.95  ;     0.031   6%   Assert                       (1,484 calls)
% 0.77/0.95  ;     0.058  12%   Process new row              (1,323 calls)
% 0.77/0.95  ;     0.019   4%   Condensing                   (975 calls)
% 0.77/0.95  ;     0.023   5%   Forward subsumption          (975 calls)
% 0.77/0.95  ;     0.013   3%   Backward subsumption         (818 calls)
% 0.77/0.95  ;     0.007   1%   Clause clause subsumption    (935 calls)
% 0.77/0.95  ;     0.020   4%   Forward simplification       (1,102 calls)
% 0.77/0.95  ;     0.006   1%   Backward simplification      (907 calls)
% 0.77/0.95  ;     0.002   0%   Ordering                     (97 calls)
% 0.77/0.95  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.95  ;     0.004   1%   Purity testing               (1 call)
% 0.77/0.95  ;     0.020   4%   Other
% 0.77/0.95  ;     0.477        Total
% 0.77/0.95  ;     0.479        Real time
% 0.77/0.95  ; 
% 0.77/0.95  ; Term-hash-array has 1,538 terms in all.
% 0.77/0.95  ; Feature-vector-row-index has 769 entries (769 at peak, 818 added, 49 deleted).
% 0.77/0.95  ; Feature-vector-row-index has 2,976 nodes (2,976 at peak, 3,524 added, 548 deleted).
% 0.77/0.95  ;  Retrieved 740 possibly forward subsuming rows in 975 calls.
% 0.77/0.95  ;  Retrieved 502 possibly backward subsumed rows in 818 calls.
% 0.77/0.95  ; Path-index has 1,416 entries (1,416 at peak, 1,568 added, 152 deleted).
% 0.77/0.95  ; Path-index has 4,814 nodes (4,814 at peak, 5,094 added, 280 deleted).
% 0.77/0.95  ; Trie-index has 1,416 entries (1,416 at peak, 1,568 added, 152 deleted).
% 0.77/0.95  ; Trie-index has 6,153 nodes (6,153 at peak, 7,231 added, 1,078 deleted).
% 0.77/0.95  ; Retrieved 406 generalization terms in 3,618 calls.
% 0.77/0.95  ; Retrieved 204 instance terms in 97 calls.
% 0.77/0.95  ; 
% 0.77/0.95  ; The agenda of input rows to process has 132 entries:
% 0.77/0.95  ;   132 with value 0
% 0.77/0.95  ; The agenda of backward simplifiable rows to process has 56 entries:
% 0.77/0.95  ;    56 with value 0
% 0.77/0.95  ; The agenda of input rows to give has 837 entries:
% 0.77/0.95  ;     1 with value 4              53 with value 19               5 with value 33
% 0.77/0.95  ;     2 with value 5              43 with value 20              11 with value 34
% 0.77/0.95  ;     8 with value 6              54 with value 21               6 with value 35
% 0.77/0.95  ;     7 with value 7              36 with value 22               2 with value 36
% 0.77/0.95  ;    10 with value 8              23 with value 23               6 with value 37
% 0.77/0.95  ;     7 with value 9              54 with value 24               2 with value 38
% 0.77/0.95  ;    15 with value 10             26 with value 25              15 with value 39
% 0.77/0.95  ;    20 with value 11             15 with value 26               3 with value 42
% 0.77/0.95  ;    17 with value 12             81 with value 27               3 with value 43
% 0.77/0.95  ;    51 with value 13              9 with value 28               1 with value 44
% 0.77/0.95  ;    38 with value 14             16 with value 29               1 with value 45
% 0.77/0.95  ;    27 with value 15             11 with value 30               2 with value 46
% 0.77/0.95  ;    37 with value 16              5 with value 31               3 with value 47
% 0.77/0.95  ;    46 with value 17              5 with value 32               1 with value 52
% 0.77/0.95  ;    59 with value 18
% 0.77/0.95  Evaluation took:
% 0.77/0.95    0.479 seconds of real time
% 0.77/0.95    0.462977 seconds of user run time
% 0.77/0.95    0.016216 seconds of system run time
% 0.77/0.95    [Run times include 0.013 seconds GC run time.]
% 0.77/0.95    0 calls to %EVAL
% 0.77/0.95    0 page faults and
% 0.77/0.95    32,730,504 bytes consed.
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T10:28:51
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  * 
%------------------------------------------------------------------------------