TSTP Solution File: LCL785-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL785-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:26:03 EDT 2022

% Result   : Unsatisfiable 0.79s 1.00s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :    8 (   3 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  11 con; 0-5 aty)
%            Number of variables   :    6 (   0 sgn)

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

cnf(cls_nT_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nT_0) ).

cnf(293,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    inference('REWRITE',[status(thm)],[cls_nT_0,cls_True_0,theory(equality)]) ).

cnf(cls_foldl__Cons_0,axiom,
    c_List_Ofoldl(X,Y,c_List_Olist_OCons(Z,U,V),W,V) = c_List_Ofoldl(X,hAPP(hAPP(X,Y),Z),U,W,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).

cnf(cls_Cons_0,axiom,
    v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(320,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_True_0,theory(equality)]) ).

cnf(1151,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[320,cls_foldl__Cons_0,theory(equality)]),293,cls_Cons_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : LCL785-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul  4 05:49:59 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.23/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.51  * 
% 0.23/0.51  * 
% 0.23/0.51  #<PACKAGE "SNARK-USER">
% 0.23/0.51  * 
% 0.23/0.51  SNARK-TPTP-OPTIONS
% 0.23/0.51  * 
% 0.23/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.51   (USE-FACTORING :POS)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.51  * 
% 0.23/0.51  "."
% 0.23/0.51  * 
% 0.23/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T05:49:59
% 0.23/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T05:49:59
% 0.44/0.63  WARNING:
% 0.44/0.63     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.63  WARNING:
% 0.44/0.63     |c_OrderedGroup_Omonoid__add| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.63  WARNING:
% 0.44/0.63     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.63  WARNING:
% 0.44/0.63     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.63  WARNING:
% 0.44/0.63     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.63  WARNING:
% 0.44/0.63     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.79/0.99  
% 0.79/0.99  
% 0.79/1.00  #||
% 0.79/1.00  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/1.00  % SZS output start Refutation
% See solution above
% 0.79/1.00  ||#
% 0.79/1.00  
% 0.79/1.00  ; Summary of computation:
% 0.79/1.00  ;      2564 formulas have been input or derived (from 223 formulas).
% 0.79/1.00  ;      1151 (45%) were retained.  Of these,
% 0.79/1.00  ;           47 ( 4%) were simplified or subsumed later,
% 0.79/1.00  ;         1104 (96%) are still being kept.
% 0.79/1.00  ; 
% 0.79/1.00  ; Run time in seconds excluding printing time:
% 0.79/1.00  ;     0.093  19%   Read assertion file          (1 call)
% 0.79/1.00  ;     0.009   2%   Assert                       (418 calls)
% 0.79/1.00  ;     0.124  26%   Process new row              (2,161 calls)
% 0.79/1.00  ;     0.048  10%   Resolution                   (444 calls)
% 0.79/1.00  ;     0.013   3%   Paramodulation               (222 calls)
% 0.79/1.00  ;     0.000   0%   Factoring                    (10 calls)
% 0.79/1.00  ;     0.011   2%   Condensing                   (699 calls)
% 0.79/1.00  ;     0.041   9%   Forward subsumption          (699 calls)
% 0.79/1.00  ;     0.010   2%   Backward subsumption         (469 calls)
% 0.79/1.00  ;     0.010   2%   Clause clause subsumption    (889 calls)
% 0.79/1.00  ;     0.049  10%   Forward simplification       (2,143 calls)
% 0.79/1.00  ;     0.018   4%   Backward simplification      (1,140 calls)
% 0.79/1.00  ;     0.027   6%   Ordering                     (4,854 calls)
% 0.79/1.00  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.79/1.00  ;     0.001   0%   Purity testing               (1 call)
% 0.79/1.00  ;     0.027   6%   Other
% 0.79/1.00  ;     0.481        Total
% 0.79/1.00  ;     0.482        Real time
% 0.79/1.00  ; 
% 0.79/1.00  ; Term-hash-array has 3,082 terms in all.
% 0.79/1.00  ; Feature-vector-row-index has 452 entries (452 at peak, 469 added, 17 deleted).
% 0.79/1.00  ; Feature-vector-row-index has 2,764 nodes (2,764 at peak, 2,917 added, 153 deleted).
% 0.79/1.00  ;  Retrieved 1,003 possibly forward subsuming rows in 699 calls.
% 0.79/1.00  ;  Retrieved 156 possibly backward subsumed rows in 469 calls.
% 0.79/1.00  ; Path-index has 3,009 entries (3,009 at peak, 3,123 added, 114 deleted).
% 0.79/1.00  ; Path-index has 7,040 nodes (7,040 at peak, 7,206 added, 166 deleted).
% 0.79/1.00  ; Trie-index has 3,009 entries (3,009 at peak, 3,123 added, 114 deleted).
% 0.79/1.00  ; Trie-index has 13,478 nodes (13,478 at peak, 14,113 added, 635 deleted).
% 0.79/1.00  ; Retrieved 4,648 generalization terms in 9,700 calls.
% 0.79/1.00  ; Retrieved 1,172 instance terms in 782 calls.
% 0.79/1.00  ; Retrieved 54,175 unifiable terms in 2,252 calls.
% 0.79/1.00  ; 
% 0.79/1.00  ; The agenda of rows to process has 45 entries:
% 0.79/1.00  ;     1 with value 21              4 with value 27               2 with value 34
% 0.79/1.00  ;     3 with value 22              7 with value 29               2 with value 35
% 0.79/1.00  ;     2 with value 23              5 with value 30               2 with value 36
% 0.79/1.00  ;     4 with value 24              1 with value 31               1 with value 37
% 0.79/1.00  ;     2 with value 25              3 with value 32               1 with value 41
% 0.79/1.00  ;     1 with value 26              4 with value 33
% 0.79/1.00  ; The agenda of input rows to give has 97 entries:
% 0.79/1.00  ;     3 with value 24              5 with value 32               2 with value 40
% 0.79/1.00  ;     8 with value 25              8 with value 33               2 with value 42
% 0.79/1.00  ;     9 with value 26              1 with value 34               1 with value 44
% 0.79/1.00  ;    11 with value 27              1 with value 35               1 with value 45
% 0.79/1.00  ;    13 with value 28              5 with value 36               3 with value 47
% 0.79/1.00  ;     5 with value 29              3 with value 38               1 with value 51
% 0.79/1.00  ;     5 with value 30              1 with value 39               1 with value 52
% 0.79/1.00  ;     8 with value 31
% 0.79/1.00  ; The agenda of rows to give has 785 entries:
% 0.79/1.00  ;     1 with value (4 5)          41 with value (4 19)          33 with value (4 32)
% 0.79/1.00  ;     1 with value (4 6)          39 with value (4 20)          47 with value (4 33)
% 0.79/1.00  ;     6 with value (4 7)          46 with value (4 21)          11 with value (4 34)
% 0.79/1.00  ;     2 with value (4 9)          40 with value (4 22)           2 with value (4 35)
% 0.79/1.00  ;     8 with value (4 10)         51 with value (4 23)           7 with value (4 36)
% 0.79/1.00  ;     8 with value (4 11)         51 with value (4 24)           4 with value (4 37)
% 0.79/1.00  ;     5 with value (4 12)         47 with value (4 25)           4 with value (4 38)
% 0.79/1.00  ;    19 with value (4 13)         51 with value (4 26)           7 with value (4 39)
% 0.79/1.00  ;    18 with value (4 14)         16 with value (4 27)          14 with value (4 40)
% 0.79/1.00  ;    27 with value (4 15)         16 with value (4 28)           2 with value (4 41)
% 0.79/1.00  ;    21 with value (4 16)         18 with value (4 29)           1 with value (4 42)
% 0.79/1.00  ;    18 with value (4 17)         49 with value (4 30)           1 with value (4 52)
% 0.79/1.00  ;    21 with value (4 18)         32 with value (4 31)
% 0.79/1.00  Evaluation took:
% 0.79/1.00    0.483 seconds of real time
% 0.79/1.00    0.453768 seconds of user run time
% 0.79/1.00    0.02895 seconds of system run time
% 0.79/1.00    [Run times include 0.03 seconds GC run time.]
% 0.79/1.00    0 calls to %EVAL
% 0.79/1.00    0 page faults and
% 0.79/1.00    29,863,488 bytes consed.
% 0.79/1.00  :PROOF-FOUND
% 0.79/1.00  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T05:50:00
% 0.79/1.00  :PROOF-FOUND
% 0.79/1.00  * 
%------------------------------------------------------------------------------