TSTP Solution File: LCL792-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL792-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:26:07 EDT 2022

% Result   : Unsatisfiable 0.61s 0.84s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_lift__IT_0,axiom,
    ( c_InductTermi_OIT(c_Lambda_Olift(X,Y))
    | ~ c_InductTermi_OIT(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__IT_0) ).

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

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(636,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_lift__IT_0,cls_conjecture_0,cls_uIT_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL792-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 23:37:21 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T23:37:21
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-03T23:37:21
% 0.54/0.70  
% 0.54/0.71  ; Recognized right identity assertion (= (|c_Nat_Osize__class_Osize| ?X |tc_nat|) ?X).
% 0.54/0.71  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Opordered__ring__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Osgn__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oabs__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Oordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Opordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.73  WARNING:
% 0.54/0.73     |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.84  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.61/0.84  
% 0.61/0.84  #||
% 0.61/0.84  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.84  % SZS output start Refutation
% See solution above
% 0.61/0.84  ||#
% 0.61/0.84  
% 0.61/0.84  ; Summary of computation:
% 0.61/0.84  ;      1294 formulas have been input or derived (from 75 formulas).
% 0.61/0.84  ;       636 (49%) were retained.  Of these,
% 0.61/0.84  ;           41 ( 6%) were simplified or subsumed later,
% 0.61/0.84  ;          595 (94%) are still being kept.
% 0.61/0.84  ; 
% 0.61/0.84  ; Run time in seconds:
% 0.61/0.84  ;     0.209  58%   Read assertion file          (1 call)
% 0.61/0.84  ;     0.022   6%   Assert                       (1,229 calls)
% 0.61/0.84  ;     0.032   9%   Process new row              (1,252 calls)
% 0.61/0.84  ;     0.002   1%   Resolution                   (148 calls)
% 0.61/0.84  ;     0.002   1%   Paramodulation               (74 calls)
% 0.61/0.84  ;     0.010   3%   Condensing                   (580 calls)
% 0.61/0.84  ;     0.017   5%   Forward subsumption          (580 calls)
% 0.61/0.84  ;     0.010   3%   Backward subsumption         (494 calls)
% 0.61/0.84  ;     0.004   1%   Clause clause subsumption    (862 calls)
% 0.61/0.84  ;     0.012   3%   Forward simplification       (763 calls)
% 0.61/0.84  ;     0.004   1%   Backward simplification      (625 calls)
% 0.61/0.84  ;     0.001   0%   Ordering                     (164 calls)
% 0.61/0.84  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.84  ;     0.004   1%   Purity testing               (1 call)
% 0.61/0.84  ;     0.034   9%   Other
% 0.61/0.84  ;     0.363        Total
% 0.61/0.84  ;     0.363        Real time
% 0.61/0.84  ; 
% 0.61/0.84  ; Term-hash-array has 1,068 terms in all.
% 0.61/0.84  ; Feature-vector-row-index has 475 entries (475 at peak, 494 added, 19 deleted).
% 0.61/0.84  ; Feature-vector-row-index has 1,315 nodes (1,315 at peak, 1,408 added, 93 deleted).
% 0.61/0.84  ;  Retrieved 1,126 possibly forward subsuming rows in 580 calls.
% 0.61/0.84  ;  Retrieved 847 possibly backward subsumed rows in 494 calls.
% 0.61/0.84  ; Path-index has 1,005 entries (1,005 at peak, 1,091 added, 86 deleted).
% 0.61/0.84  ; Path-index has 2,857 nodes (2,857 at peak, 2,972 added, 115 deleted).
% 0.61/0.84  ; Trie-index has 1,005 entries (1,005 at peak, 1,091 added, 86 deleted).
% 0.61/0.84  ; Trie-index has 3,510 nodes (3,510 at peak, 3,893 added, 383 deleted).
% 0.61/0.84  ; Retrieved 403 generalization terms in 2,153 calls.
% 0.61/0.84  ; Retrieved 362 instance terms in 142 calls.
% 0.61/0.84  ; Retrieved 3,628 unifiable terms in 326 calls.
% 0.61/0.84  ; 
% 0.61/0.84  ; The agenda of rows to process has 6 entries:
% 0.61/0.84  ;     1 with value 4               4 with value 7                1 with value 9
% 0.61/0.84  ; The agenda of input rows to give has 516 entries:
% 0.61/0.84  ;    14 with value 10             37 with value 21               3 with value 32
% 0.61/0.84  ;    21 with value 11             26 with value 22               1 with value 33
% 0.61/0.84  ;    25 with value 12             13 with value 23               4 with value 34
% 0.61/0.84  ;    36 with value 13             28 with value 24               1 with value 35
% 0.61/0.84  ;    35 with value 14             16 with value 25               1 with value 36
% 0.61/0.84  ;    16 with value 15              5 with value 26               1 with value 37
% 0.61/0.84  ;    19 with value 16             51 with value 27               7 with value 39
% 0.61/0.84  ;    45 with value 17              6 with value 28               1 with value 42
% 0.61/0.84  ;    42 with value 18              5 with value 29               4 with value 43
% 0.61/0.84  ;    17 with value 19              5 with value 30               8 with value 44
% 0.61/0.84  ;    20 with value 20              3 with value 31
% 0.61/0.84  ; The agenda of rows to give has 4 entries:
% 0.61/0.84  ;     3 with value (4 6)           1 with value (4 8)
% 0.61/0.84  Evaluation took:
% 0.61/0.84    0.364 seconds of real time
% 0.61/0.84    0.343364 seconds of user run time
% 0.61/0.84    0.020717 seconds of system run time
% 0.61/0.84    [Run times include 0.005 seconds GC run time.]
% 0.61/0.84    0 calls to %EVAL
% 0.61/0.84    0 page faults and
% 0.61/0.84    24,081,144 bytes consed.
% 0.61/0.84  :PROOF-FOUND
% 0.61/0.84  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T23:37:22
% 0.61/0.84  :PROOF-FOUND
% 0.61/0.84  * 
%------------------------------------------------------------------------------