TSTP Solution File: LCL856-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 14:26:43 EDT 2022

% Result   : Unsatisfiable 0.39s 0.58s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :    4 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_IT__implies__termi_0,axiom,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).

cnf(cls_type__implies__IT_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,X))
    | ~ c_Type_Otyping(Y,X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_type__implies__IT_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Type_Otyping(v_e,v_t,v_T),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(194,plain,
    hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    inference('HYPERRESOLVE',[status(thm)],[cls_type__implies__IT_0,cls_conjecture_0]) ).

cnf(217,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_IT__implies__termi_0,cls_conjecture_1]),194]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Sun Jul  3 12:47:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T12:47:45
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-03T12:47:45
% 0.39/0.58  
% 0.39/0.58  
% 0.39/0.58  #||
% 0.39/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58  % SZS output start Refutation
% See solution above
% 0.39/0.58  ||#
% 0.39/0.58  
% 0.39/0.58  ; Summary of computation:
% 0.39/0.58  ;       303 formulas have been input or derived (from 56 formulas).
% 0.39/0.58  ;       217 (72%) were retained.  Of these,
% 0.39/0.58  ;            5 ( 2%) were simplified or subsumed later,
% 0.39/0.58  ;          212 (98%) are still being kept.
% 0.39/0.58  ; 
% 0.39/0.58  ; Run time in seconds:
% 0.39/0.58  ;     0.044  38%   Read assertion file          (1 call)
% 0.39/0.58  ;     0.005   4%   Assert                       (187 calls)
% 0.39/0.58  ;     0.019  17%   Process new row              (284 calls)
% 0.39/0.58  ;     0.002   2%   Resolution                   (110 calls)
% 0.39/0.58  ;     0.000   0%   Paramodulation               (55 calls)
% 0.39/0.58  ;     0.003   3%   Condensing                   (138 calls)
% 0.39/0.58  ;     0.011  10%   Forward subsumption          (138 calls)
% 0.39/0.58  ;     0.003   3%   Backward subsumption         (132 calls)
% 0.39/0.58  ;     0.001   1%   Clause clause subsumption    (127 calls)
% 0.39/0.58  ;     0.006   5%   Forward simplification       (284 calls)
% 0.39/0.58  ;     0.001   1%   Backward simplification      (217 calls)
% 0.39/0.58  ;     0.000   0%   Ordering                     (102 calls)
% 0.39/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.58  ;     0.020  17%   Other
% 0.39/0.58  ;     0.115        Total
% 0.39/0.58  ;     0.115        Real time
% 0.39/0.58  ; 
% 0.39/0.58  ; Term-hash-array has 613 terms in all.
% 0.39/0.58  ; Feature-vector-row-index has 129 entries (129 at peak, 132 added, 3 deleted).
% 0.39/0.58  ; Feature-vector-row-index has 840 nodes (840 at peak, 884 added, 44 deleted).
% 0.39/0.58  ;  Retrieved 77 possibly forward subsuming rows in 138 calls.
% 0.39/0.58  ;  Retrieved 70 possibly backward subsumed rows in 132 calls.
% 0.39/0.58  ; Path-index has 611 entries (611 at peak, 626 added, 15 deleted).
% 0.39/0.58  ; Path-index has 1,902 nodes (1,902 at peak, 1,935 added, 33 deleted).
% 0.39/0.58  ; Trie-index has 611 entries (611 at peak, 626 added, 15 deleted).
% 0.39/0.58  ; Trie-index has 1,990 nodes (1,990 at peak, 2,079 added, 89 deleted).
% 0.39/0.58  ; Retrieved 94 generalization terms in 844 calls.
% 0.39/0.58  ; Retrieved 101 instance terms in 84 calls.
% 0.39/0.58  ; Retrieved 1,283 unifiable terms in 271 calls.
% 0.39/0.58  ; 
% 0.39/0.58  ; The agenda of rows to process has 1 entry:
% 0.39/0.58  ;     1 with value 11
% 0.39/0.58  ; The agenda of input rows to give has 114 entries:
% 0.39/0.58  ;     1 with value 15              8 with value 24               1 with value 32
% 0.39/0.58  ;     1 with value 16              2 with value 25               9 with value 33
% 0.39/0.58  ;     5 with value 17              2 with value 26               1 with value 34
% 0.39/0.58  ;    12 with value 18              4 with value 27               5 with value 36
% 0.39/0.58  ;     6 with value 19             12 with value 28               3 with value 37
% 0.39/0.58  ;     5 with value 20              3 with value 29               1 with value 44
% 0.39/0.58  ;    16 with value 21              4 with value 30               1 with value 45
% 0.39/0.58  ;     8 with value 22              2 with value 31               1 with value 51
% 0.39/0.58  ;     1 with value 23
% 0.39/0.58  ; The agenda of rows to give has 42 entries:
% 0.39/0.58  ;     9 with value (4 7)           6 with value (4 12)           4 with value (4 15)
% 0.39/0.58  ;     5 with value (4 9)           6 with value (4 13)           7 with value (4 17)
% 0.39/0.58  ;     5 with value (4 11)
% 0.39/0.58  Evaluation took:
% 0.39/0.58    0.115 seconds of real time
% 0.39/0.58    0.10233 seconds of user run time
% 0.39/0.58    0.013208 seconds of system run time
% 0.39/0.58    0 calls to %EVAL
% 0.39/0.58    0 page faults and
% 0.39/0.58    6,366,728 bytes consed.
% 0.39/0.58  :PROOF-FOUND
% 0.39/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T12:47:45
% 0.39/0.58  :PROOF-FOUND
% 0.39/0.58  * 
%------------------------------------------------------------------------------