TSTP Solution File: LCL813-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:26:20 EDT 2022

% Result   : Unsatisfiable 0.86s 1.03s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   2 RR)
%            Number of literals    :    5 (   1 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-5 aty)
%            Number of variables   :   10 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_shift__eq_0,axiom,
    hAPP(c_Type_Oshift(X,Y,Z,U),Y) = Z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).

cnf(cls_typing_OVar_0,axiom,
    c_Type_Otyping(X,c_Lambda_OdB_OVar(Y),hAPP(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(780,plain,
    c_Type_Otyping(c_Type_Oshift(X,Y,Z,U),c_Lambda_OdB_OVar(Y),Z),
    inference('PARAMODULATE',[status(thm)],[cls_typing_OVar_0,cls_shift__eq_0,theory(equality)]) ).

cnf(781,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,780]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.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 : Sun Jul  3 18:09:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T18:09:56
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-03T18:09:56
% 0.57/0.77  
% 0.57/0.77  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.86/1.03  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.86/1.03  
% 0.86/1.03  #||
% 0.86/1.03  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.03  % SZS output start Refutation
% See solution above
% 0.86/1.03  ||#
% 0.86/1.03  
% 0.86/1.03  ; Summary of computation:
% 0.86/1.03  ;      1341 formulas have been input or derived (from 132 formulas).
% 0.86/1.03  ;       781 (58%) were retained.  Of these,
% 0.86/1.03  ;           73 ( 9%) were simplified or subsumed later,
% 0.86/1.03  ;          708 (91%) are still being kept.
% 0.86/1.03  ; 
% 0.86/1.03  ; Run time in seconds excluding printing time:
% 0.86/1.03  ;     0.237  45%   Read assertion file          (1 call)
% 0.86/1.03  ;     0.030   6%   Assert                       (936 calls)
% 0.86/1.03  ;     0.097  18%   Process new row              (1,192 calls)
% 0.86/1.03  ;     0.019   4%   Resolution                   (262 calls)
% 0.86/1.03  ;     0.005   1%   Paramodulation               (131 calls)
% 0.86/1.03  ;     0.000   0%   Factoring                    (3 calls)
% 0.86/1.03  ;     0.019   4%   Condensing                   (581 calls)
% 0.86/1.03  ;     0.018   3%   Forward subsumption          (581 calls)
% 0.86/1.03  ;     0.017   3%   Backward subsumption         (477 calls)
% 0.86/1.03  ;     0.008   2%   Clause clause subsumption    (759 calls)
% 0.86/1.03  ;     0.023   4%   Forward simplification       (1,034 calls)
% 0.86/1.03  ;     0.008   2%   Backward simplification      (746 calls)
% 0.86/1.03  ;     0.005   1%   Ordering                     (661 calls)
% 0.86/1.03  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.86/1.03  ;     0.005   1%   Purity testing               (1 call)
% 0.86/1.03  ;     0.039   7%   Other
% 0.86/1.03  ;     0.530        Total
% 0.86/1.03  ;     0.534        Real time
% 0.86/1.03  ; 
% 0.86/1.03  ; Term-hash-array has 1,463 terms in all.
% 0.86/1.03  ; Feature-vector-row-index has 459 entries (459 at peak, 477 added, 18 deleted).
% 0.86/1.03  ; Feature-vector-row-index has 2,156 nodes (2,156 at peak, 2,333 added, 177 deleted).
% 0.86/1.03  ;  Retrieved 546 possibly forward subsuming rows in 581 calls.
% 0.86/1.03  ;  Retrieved 400 possibly backward subsumed rows in 477 calls.
% 0.86/1.03  ; Path-index has 1,370 entries (1,373 at peak, 1,520 added, 150 deleted).
% 0.86/1.03  ; Path-index has 4,500 nodes (4,512 at peak, 4,727 added, 227 deleted).
% 0.86/1.03  ; Trie-index has 1,370 entries (1,373 at peak, 1,520 added, 150 deleted).
% 0.86/1.03  ; Trie-index has 5,124 nodes (5,154 at peak, 5,812 added, 688 deleted).
% 0.86/1.03  ; Retrieved 948 generalization terms in 3,466 calls.
% 0.86/1.03  ; Retrieved 593 instance terms in 295 calls.
% 0.86/1.03  ; Retrieved 10,503 unifiable terms in 692 calls.
% 0.86/1.03  ; 
% 0.86/1.03  ; The agenda of input rows to give has 471 entries:
% 0.86/1.03  ;     1 with value 12             15 with value 23               1 with value 34
% 0.86/1.03  ;    29 with value 13             31 with value 24               3 with value 35
% 0.86/1.03  ;    22 with value 14              8 with value 25               2 with value 36
% 0.86/1.03  ;    20 with value 15             15 with value 26               1 with value 37
% 0.86/1.04  ;    24 with value 16             41 with value 27               2 with value 38
% 0.86/1.04  ;    38 with value 17             12 with value 28               7 with value 39
% 0.86/1.04  ;    43 with value 18             10 with value 29               2 with value 42
% 0.86/1.04  ;    21 with value 19             10 with value 30               1 with value 43
% 0.86/1.04  ;    10 with value 20             18 with value 31               1 with value 47
% 0.86/1.04  ;    34 with value 21              7 with value 32               3 with value 50
% 0.86/1.04  ;    28 with value 22              2 with value 33               9 with value 52
% 0.86/1.04  ; The agenda of rows to give has 106 entries:
% 0.86/1.04  ;     1 with value (4 6)          19 with value (4 11)          14 with value (4 15)
% 0.86/1.04  ;     4 with value (4 7)           8 with value (4 12)           1 with value (4 16)
% 0.86/1.04  ;     5 with value (4 8)          17 with value (4 13)           9 with value (4 17)
% 0.86/1.04  ;     7 with value (4 9)           5 with value (4 14)           3 with value (4 26)
% 0.86/1.04  ;    13 with value (4 10)
% 0.86/1.04  Evaluation took:
% 0.86/1.04    0.535 seconds of real time
% 0.86/1.04    0.506552 seconds of user run time
% 0.86/1.04    0.026018 seconds of system run time
% 0.86/1.04    [Run times include 0.011 seconds GC run time.]
% 0.86/1.04    0 calls to %EVAL
% 0.86/1.04    0 page faults and
% 0.86/1.04    22,984,520 bytes consed.
% 0.86/1.04  :PROOF-FOUND
% 0.86/1.04  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T18:09:57
% 0.86/1.04  :PROOF-FOUND
% 0.86/1.04  * 
%------------------------------------------------------------------------------