TSTP Solution File: LCL778-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL778-1 : TPTP v8.1.0. Released v4.1.0.
% 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 14:25:59 EDT 2022

% Result   : Unsatisfiable 0.47s 0.71s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    3 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-5 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(374,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL778-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n008.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 : Mon Jul  4 06:03:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 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)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T06:03:38
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-04T06:03:38
% 0.45/0.63  WARNING:
% 0.45/0.63     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |c_OrderedGroup_Omonoid__add| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.63  WARNING:
% 0.45/0.63     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.71  
% 0.47/0.71  
% 0.47/0.71  #||
% 0.47/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.71  % SZS output start Refutation
% See solution above
% 0.47/0.71  ||#
% 0.47/0.71  
% 0.47/0.71  ; Summary of computation:
% 0.47/0.71  ;       562 formulas have been input or derived (from 1 formulas).
% 0.47/0.71  ;       374 (67%) were retained.  Of these,
% 0.47/0.71  ;           15 ( 4%) were simplified or subsumed later,
% 0.47/0.71  ;          359 (96%) are still being kept.
% 0.47/0.71  ; 
% 0.47/0.71  ; Run time in seconds:
% 0.47/0.71  ;     0.123  54%   Read assertion file          (1 call)
% 0.47/0.71  ;     0.011   5%   Assert                       (549 calls)
% 0.47/0.71  ;     0.025  11%   Process new row              (507 calls)
% 0.47/0.71  ;     0.004   2%   Condensing                   (331 calls)
% 0.47/0.71  ;     0.009   4%   Forward subsumption          (331 calls)
% 0.47/0.71  ;     0.006   3%   Backward subsumption         (287 calls)
% 0.47/0.71  ;     0.001   0%   Clause clause subsumption    (285 calls)
% 0.47/0.71  ;     0.011   5%   Forward simplification       (447 calls)
% 0.47/0.71  ;     0.003   1%   Backward simplification      (369 calls)
% 0.47/0.71  ;     0.000   0%   Ordering                     (148 calls)
% 0.47/0.71  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.71  ;     0.002   1%   Purity testing               (1 call)
% 0.47/0.71  ;     0.034  15%   Other
% 0.47/0.71  ;     0.229        Total
% 0.47/0.71  ;     0.229        Real time
% 0.47/0.71  ; 
% 0.47/0.71  ; Term-hash-array has 992 terms in all.
% 0.47/0.71  ; Feature-vector-row-index has 282 entries (282 at peak, 287 added, 5 deleted).
% 0.47/0.71  ; Feature-vector-row-index has 1,924 nodes (1,924 at peak, 1,963 added, 39 deleted).
% 0.47/0.71  ;  Retrieved 209 possibly forward subsuming rows in 331 calls.
% 0.47/0.71  ;  Retrieved 137 possibly backward subsumed rows in 287 calls.
% 0.47/0.71  ; Path-index has 970 entries (970 at peak, 1,010 added, 40 deleted).
% 0.47/0.71  ; Path-index has 2,983 nodes (2,983 at peak, 3,057 added, 74 deleted).
% 0.47/0.71  ; Trie-index has 970 entries (970 at peak, 1,010 added, 40 deleted).
% 0.47/0.71  ; Trie-index has 3,749 nodes (3,749 at peak, 3,913 added, 164 deleted).
% 0.47/0.71  ; Retrieved 138 generalization terms in 1,574 calls.
% 0.47/0.71  ; Retrieved 184 instance terms in 108 calls.
% 0.47/0.71  ; 
% 0.47/0.71  ; The agenda of input rows to process has 29 entries:
% 0.47/0.71  ;    29 with value 0
% 0.47/0.71  ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.47/0.71  ;     8 with value 0
% 0.47/0.71  ; The agenda of input rows to give has 358 entries:
% 0.47/0.71  ;     1 with value 5               7 with value 20               3 with value 35
% 0.47/0.71  ;     1 with value 6              12 with value 21               5 with value 36
% 0.47/0.71  ;     3 with value 7              17 with value 22               2 with value 37
% 0.47/0.71  ;    10 with value 8              13 with value 23               3 with value 38
% 0.47/0.71  ;     4 with value 9              11 with value 24               1 with value 39
% 0.47/0.71  ;     7 with value 10             10 with value 25               3 with value 40
% 0.47/0.71  ;    12 with value 11             16 with value 26               1 with value 42
% 0.47/0.71  ;    11 with value 12              9 with value 27               2 with value 43
% 0.47/0.71  ;    21 with value 13             14 with value 28               1 with value 45
% 0.47/0.71  ;    14 with value 14              8 with value 29               4 with value 47
% 0.47/0.71  ;    11 with value 15              2 with value 30               1 with value 48
% 0.47/0.71  ;    12 with value 16             19 with value 31               2 with value 51
% 0.47/0.71  ;    19 with value 17              6 with value 32               1 with value 53
% 0.47/0.71  ;    27 with value 18              8 with value 33               4 with value 55
% 0.47/0.71  ;    15 with value 19              5 with value 34
% 0.47/0.71  Evaluation took:
% 0.47/0.71    0.23 seconds of real time
% 0.47/0.71    0.21909 seconds of user run time
% 0.47/0.71    0.010871 seconds of system run time
% 0.47/0.71    [Run times include 0.011 seconds GC run time.]
% 0.47/0.71    0 calls to %EVAL
% 0.47/0.71    0 page faults and
% 0.47/0.71    13,171,616 bytes consed.
% 0.47/0.71  :PROOF-FOUND
% 0.47/0.71  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T06:03:38
% 0.47/0.71  :PROOF-FOUND
% 0.47/0.71  * 
%------------------------------------------------------------------------------