TSTP Solution File: LCL784-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL784-1 : 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 : Sun Jul 17 14:26:02 EDT 2022

% Result   : Unsatisfiable 0.39s 0.62s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   5 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-5 aty)
%            Number of variables   :    9 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_subst__eq_0,axiom,
    hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X)),Y),X) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).

cnf(cls_foldl__Nil_0,axiom,
    c_List_Ofoldl(X,Y,c_List_Olist_ONil(Z),U,Z) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).

cnf(cls_True_0,axiom,
    v_n____ = v_i____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).

cnf(cls_Nil_0,axiom,
    v_rs____ = c_List_Olist_ONil(tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil_0) ).

cnf(cls_uIT_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(236,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_True_0,theory(equality)]) ).

cnf(293,plain,
    c_List_Ofoldl(X,Y,v_rs____,Z,tc_Lambda_OdB) = Y,
    inference('PARAMODULATE',[status(thm)],[cls_foldl__Nil_0,cls_Nil_0,theory(equality)]) ).

cnf(296,plain,
    $false,
    inference('REWRITE',[status(thm)],[236,cls_uIT_0,cls_subst__eq_0,293,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL784-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 02:31:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T02:31:20
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-03T02:31:20
% 0.39/0.56  WARNING:
% 0.39/0.56     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |c_OrderedGroup_Omonoid__add| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  
% 0.39/0.62  
% 0.39/0.62  #||
% 0.39/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.62  % SZS output start Refutation
% See solution above
% 0.39/0.62  ||#
% 0.39/0.62  
% 0.39/0.62  ; Summary of computation:
% 0.39/0.62  ;       412 formulas have been input or derived (from 55 formulas).
% 0.39/0.62  ;       296 (72%) were retained.  Of these,
% 0.39/0.62  ;           22 ( 7%) were simplified or subsumed later,
% 0.39/0.62  ;          274 (93%) are still being kept.
% 0.39/0.62  ; 
% 0.39/0.62  ; Run time in seconds excluding printing time:
% 0.39/0.62  ;     0.076  51%   Read assertion file          (1 call)
% 0.39/0.62  ;     0.007   5%   Assert                       (317 calls)
% 0.39/0.62  ;     0.019  13%   Process new row              (383 calls)
% 0.39/0.62  ;     0.000   0%   Resolution                   (108 calls)
% 0.39/0.62  ;     0.001   1%   Paramodulation               (54 calls)
% 0.39/0.62  ;     0.004   3%   Condensing                   (185 calls)
% 0.39/0.62  ;     0.006   4%   Forward subsumption          (185 calls)
% 0.39/0.62  ;     0.002   1%   Backward subsumption         (170 calls)
% 0.39/0.62  ;     0.000   0%   Clause clause subsumption    (119 calls)
% 0.39/0.62  ;     0.009   6%   Forward simplification       (366 calls)
% 0.39/0.62  ;     0.005   3%   Backward simplification      (286 calls)
% 0.39/0.62  ;     0.001   1%   Ordering                     (170 calls)
% 0.39/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.39/0.62  ;     0.018  12%   Other
% 0.39/0.62  ;     0.149        Total
% 0.39/0.62  ;     0.150        Real time
% 0.39/0.62  ; 
% 0.39/0.62  ; Term-hash-array has 844 terms in all.
% 0.39/0.62  ; Feature-vector-row-index has 163 entries (163 at peak, 170 added, 7 deleted).
% 0.39/0.62  ; Feature-vector-row-index has 1,362 nodes (1,362 at peak, 1,458 added, 96 deleted).
% 0.39/0.62  ;  Retrieved 89 possibly forward subsuming rows in 185 calls.
% 0.39/0.62  ;  Retrieved 68 possibly backward subsumed rows in 170 calls.
% 0.39/0.62  ; Path-index has 824 entries (832 at peak, 877 added, 53 deleted).
% 0.39/0.62  ; Path-index has 2,323 nodes (2,347 at peak, 2,401 added, 78 deleted).
% 0.39/0.62  ; Trie-index has 824 entries (832 at peak, 877 added, 53 deleted).
% 0.39/0.62  ; Trie-index has 2,920 nodes (2,978 at peak, 3,126 added, 206 deleted).
% 0.39/0.62  ; Retrieved 117 generalization terms in 1,308 calls.
% 0.39/0.62  ; Retrieved 156 instance terms in 128 calls.
% 0.39/0.62  ; Retrieved 1,914 unifiable terms in 274 calls.
% 0.39/0.62  ; 
% 0.39/0.62  ; The agenda of input rows to give has 183 entries:
% 0.39/0.62  ;     2 with value 11             10 with value 24               2 with value 36
% 0.39/0.62  ;     5 with value 13              6 with value 25               2 with value 37
% 0.39/0.62  ;    10 with value 14              9 with value 26               3 with value 38
% 0.39/0.62  ;     9 with value 15              5 with value 27               3 with value 40
% 0.39/0.62  ;     8 with value 16              9 with value 28               1 with value 42
% 0.39/0.62  ;     4 with value 17              5 with value 29               2 with value 43
% 0.39/0.62  ;    12 with value 18              2 with value 30               1 with value 45
% 0.39/0.62  ;    10 with value 19              6 with value 31               4 with value 47
% 0.39/0.62  ;     4 with value 20              5 with value 32               1 with value 48
% 0.39/0.62  ;     9 with value 21              8 with value 33               2 with value 51
% 0.39/0.62  ;     8 with value 22              3 with value 34               3 with value 52
% 0.39/0.62  ;     5 with value 23              3 with value 35               2 with value 55
% 0.39/0.62  ; The agenda of rows to give has 36 entries:
% 0.39/0.62  ;     2 with value (4 6)           2 with value (4 10)           6 with value (4 13)
% 0.39/0.62  ;     7 with value (4 7)           7 with value (4 11)           4 with value (4 15)
% 0.39/0.62  ;     5 with value (4 9)           3 with value (4 12)
% 0.39/0.62  Evaluation took:
% 0.39/0.62    0.151 seconds of real time
% 0.39/0.62    0.137741 seconds of user run time
% 0.39/0.62    0.013619 seconds of system run time
% 0.39/0.62    0 calls to %EVAL
% 0.39/0.62    0 page faults and
% 0.39/0.62    9,560,456 bytes consed.
% 0.39/0.62  :PROOF-FOUND
% 0.39/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T02:31:20
% 0.39/0.62  :PROOF-FOUND
% 0.39/0.62  * 
%------------------------------------------------------------------------------