TSTP Solution File: LCL836-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL836-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 14:26:33 EDT 2022

% Result   : Unsatisfiable 1.88s 2.07s
% Output   : Refutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-5 aty)
%            Number of variables   :    4 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_uT_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uT_0) ).

cnf(cls_SI1_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X),Y)))
    | ~ c_Type_Otyping(Z,X,v_T____)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X))
    | ~ c_Type_Otyping(c_Type_Oshift(Z,Y,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SI1_0) ).

cnf(cls_uIT_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).

cnf(cls_CHAINED_0_02,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(2559,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_SI1_0,cls_conjecture_0,cls_uT_0,cls_uIT_0,cls_CHAINED_0_02]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : LCL836-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.14/0.37  % Computer : n021.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Mon Jul  4 11:37:31 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T11:37:32
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-04T11:37:32
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_OrderedGroup_Omonoid__add| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.88/2.07  
% 1.88/2.07  
% 1.88/2.07  #||
% 1.88/2.07  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.88/2.07  % SZS output start Refutation
% See solution above
% 1.88/2.07  ||#
% 1.88/2.07  
% 1.88/2.07  ; Summary of computation:
% 1.88/2.07  ;      8446 formulas have been input or derived (from 426 formulas).
% 1.88/2.07  ;      2559 (30%) were retained.  Of these,
% 1.88/2.07  ;           75 ( 3%) were simplified or subsumed later,
% 1.88/2.07  ;         2484 (97%) are still being kept.
% 1.88/2.07  ; 
% 1.88/2.07  ; Run time in seconds excluding printing time:
% 1.88/2.07  ;     0.125   8%   Read assertion file          (1 call)
% 1.88/2.07  ;     0.010   1%   Assert                       (625 calls)
% 1.88/2.07  ;     0.286  18%   Process new row              (7,341 calls)
% 1.88/2.07  ;     0.183  12%   Resolution                   (850 calls)
% 1.88/2.07  ;     0.043   3%   Paramodulation               (425 calls)
% 1.88/2.07  ;     0.000   0%   Factoring                    (6 calls)
% 1.88/2.07  ;     0.054   3%   Condensing                   (3,262 calls)
% 1.88/2.07  ;     0.260  17%   Forward subsumption          (3,262 calls)
% 1.88/2.07  ;     0.036   2%   Backward subsumption         (1,340 calls)
% 1.88/2.07  ;     0.059   4%   Clause clause subsumption    (9,657 calls)
% 1.88/2.07  ;     0.311  20%   Forward simplification       (7,255 calls)
% 1.88/2.07  ;     0.025   2%   Backward simplification      (2,548 calls)
% 1.88/2.07  ;     0.096   6%   Ordering                     (21,214 calls)
% 1.88/2.07  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.88/2.07  ;     0.002   0%   Purity testing               (1 call)
% 1.88/2.07  ;     0.062   4%   Other
% 1.88/2.07  ;     1.553        Total
% 1.88/2.07  ;     1.554        Real time
% 1.88/2.07  ; 
% 1.88/2.08  ; Term-hash-array has 6,566 terms in all.
% 1.88/2.08  ; Feature-vector-row-index has 1,316 entries (1,316 at peak, 1,340 added, 24 deleted).
% 1.88/2.08  ; Feature-vector-row-index has 10,305 nodes (10,305 at peak, 10,402 added, 97 deleted).
% 1.88/2.08  ;  Retrieved 17,483 possibly forward subsuming rows in 3,262 calls.
% 1.88/2.08  ;  Retrieved 1,188 possibly backward subsumed rows in 1,340 calls.
% 1.88/2.08  ; Path-index has 6,473 entries (6,473 at peak, 6,611 added, 138 deleted).
% 1.88/2.08  ; Path-index has 13,011 nodes (13,011 at peak, 13,156 added, 145 deleted).
% 1.88/2.08  ; Trie-index has 6,473 entries (6,473 at peak, 6,611 added, 138 deleted).
% 1.88/2.08  ; Trie-index has 30,673 nodes (30,673 at peak, 31,214 added, 541 deleted).
% 1.88/2.08  ; Retrieved 31,726 generalization terms in 45,408 calls.
% 1.88/2.08  ; Retrieved 2,388 instance terms in 1,528 calls.
% 1.88/2.08  ; Retrieved 225,717 unifiable terms in 6,233 calls.
% 1.88/2.08  ; 
% 1.88/2.08  ; The agenda of rows to process has 6 entries:
% 1.88/2.08  ;     1 with value 6               1 with value 26               2 with value 74
% 1.88/2.08  ;     1 with value 7               1 with value 32
% 1.88/2.08  ; The agenda of rows to give has 2059 entries:
% 1.88/2.08  ;     2 with value (4 6)          66 with value (4 29)          22 with value (4 52)
% 1.88/2.08  ;     7 with value (4 7)          88 with value (4 30)          12 with value (4 53)
% 1.88/2.08  ;     1 with value (4 8)          84 with value (4 31)           5 with value (4 54)
% 1.88/2.08  ;     3 with value (4 9)          90 with value (4 32)          18 with value (4 55)
% 1.88/2.08  ;     8 with value (4 10)         96 with value (4 33)          10 with value (4 57)
% 1.88/2.08  ;     9 with value (4 11)         70 with value (4 34)           6 with value (4 58)
% 1.88/2.08  ;     4 with value (4 12)         63 with value (4 35)           7 with value (4 59)
% 1.88/2.08  ;    13 with value (4 13)         43 with value (4 36)           3 with value (4 60)
% 1.88/2.08  ;    19 with value (4 14)         54 with value (4 37)           3 with value (4 61)
% 1.88/2.08  ;    26 with value (4 15)         49 with value (4 38)           2 with value (4 62)
% 1.88/2.08  ;    23 with value (4 16)         61 with value (4 39)           3 with value (4 63)
% 1.88/2.08  ;    35 with value (4 17)         71 with value (4 40)           1 with value (4 64)
% 1.88/2.08  ;    31 with value (4 18)         52 with value (4 41)          15 with value (4 65)
% 1.88/2.08  ;    48 with value (4 19)         53 with value (4 42)           4 with value (4 67)
% 1.88/2.08  ;    41 with value (4 20)         30 with value (4 43)           1 with value (4 68)
% 1.88/2.08  ;    67 with value (4 21)         31 with value (4 44)           5 with value (4 69)
% 1.88/2.08  ;    55 with value (4 22)         21 with value (4 45)           2 with value (4 71)
% 1.88/2.08  ;    76 with value (4 23)         30 with value (4 46)           1 with value (4 73)
% 1.88/2.08  ;    71 with value (4 24)         13 with value (4 47)           2 with value (4 74)
% 1.88/2.08  ;    71 with value (4 25)         19 with value (4 48)           1 with value (4 75)
% 1.88/2.08  ;    83 with value (4 26)         19 with value (4 49)           4 with value (4 76)
% 1.88/2.08  ;    36 with value (4 27)         16 with value (4 50)           1 with value (4 96)
% 1.88/2.08  ;    67 with value (4 28)         16 with value (4 51)
% 1.88/2.08  Evaluation took:
% 1.88/2.08    1.555 seconds of real time
% 1.88/2.08    1.442895 seconds of user run time
% 1.88/2.08    0.113024 seconds of system run time
% 1.88/2.08    [Run times include 0.176 seconds GC run time.]
% 1.88/2.08    0 calls to %EVAL
% 1.88/2.08    0 page faults and
% 1.88/2.08    117,908,632 bytes consed.
% 1.88/2.08  :PROOF-FOUND
% 1.88/2.08  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T11:37:33
% 1.88/2.08  :PROOF-FOUND
% 1.88/2.08  * 
%------------------------------------------------------------------------------