TSTP Solution File: SWV860-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV860-1 : 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 : Wed Jul 20 21:36:16 EDT 2022

% Result   : Unsatisfiable 0.55s 0.72s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    7 (   2 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_evaln__elim__cases_I1_J_0,axiom,
    ( X = Y
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(578,plain,
    v_xb = v_xa,
    inference('HYPERRESOLVE',[status(thm)],[cls_evaln__elim__cases_I1_J_0,cls_conjecture_1]) ).

cnf(579,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_0,578,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWV860-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 00:49:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:49:36
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-16T00:49:36
% 0.43/0.60  
% 0.43/0.60  ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 0.43/0.61  WARNING:
% 0.43/0.61     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.61  WARNING:
% 0.43/0.61     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.72  ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.55/0.72  
% 0.55/0.72  #||
% 0.55/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72  % SZS output start Refutation
% See solution above
% 0.55/0.72  ||#
% 0.55/0.72  
% 0.55/0.72  ; Summary of computation:
% 0.55/0.72  ;       775 formulas have been input or derived (from 84 formulas).
% 0.55/0.72  ;       579 (75%) were retained.  Of these,
% 0.55/0.72  ;           84 (15%) were simplified or subsumed later,
% 0.55/0.72  ;          495 (85%) are still being kept.
% 0.55/0.72  ; 
% 0.55/0.72  ; Run time in seconds:
% 0.55/0.72  ;     0.101  42%   Read assertion file          (1 call)
% 0.55/0.72  ;     0.010   4%   Assert                       (519 calls)
% 0.55/0.72  ;     0.045  19%   Process new row              (680 calls)
% 0.55/0.72  ;     0.006   2%   Resolution                   (166 calls)
% 0.55/0.72  ;     0.000   0%   Paramodulation               (83 calls)
% 0.55/0.72  ;     0.000   0%   Factoring                    (1 call)
% 0.55/0.72  ;     0.010   4%   Condensing                   (325 calls)
% 0.55/0.72  ;     0.012   5%   Forward subsumption          (325 calls)
% 0.55/0.72  ;     0.000   0%   Backward subsumption         (292 calls)
% 0.55/0.72  ;     0.003   1%   Clause clause subsumption    (352 calls)
% 0.55/0.72  ;     0.020   8%   Forward simplification       (676 calls)
% 0.55/0.72  ;     0.007   3%   Backward simplification      (557 calls)
% 0.55/0.72  ;     0.005   2%   Ordering                     (457 calls)
% 0.55/0.72  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.55/0.72  ;     0.001   0%   Purity testing               (1 call)
% 0.55/0.72  ;     0.019   8%   Other
% 0.55/0.72  ;     0.240        Total
% 0.55/0.72  ;     0.240        Real time
% 0.55/0.72  ; 
% 0.55/0.72  ; Term-hash-array has 1,419 terms in all.
% 0.55/0.72  ; Feature-vector-row-index has 262 entries (262 at peak, 292 added, 30 deleted).
% 0.55/0.72  ; Feature-vector-row-index has 1,251 nodes (1,251 at peak, 1,543 added, 292 deleted).
% 0.55/0.72  ;  Retrieved 473 possibly forward subsuming rows in 325 calls.
% 0.55/0.72  ;  Retrieved 247 possibly backward subsumed rows in 292 calls.
% 0.55/0.72  ; Path-index has 1,255 entries (1,258 at peak, 1,455 added, 200 deleted).
% 0.55/0.72  ; Path-index has 4,736 nodes (4,741 at peak, 5,087 added, 351 deleted).
% 0.55/0.72  ; Trie-index has 1,255 entries (1,258 at peak, 1,455 added, 200 deleted).
% 0.55/0.73  ; Trie-index has 4,975 nodes (4,980 at peak, 6,249 added, 1,274 deleted).
% 0.55/0.73  ; Retrieved 751 generalization terms in 2,415 calls.
% 0.55/0.73  ; Retrieved 527 instance terms in 308 calls.
% 0.55/0.73  ; Retrieved 6,242 unifiable terms in 468 calls.
% 0.55/0.73  ; 
% 0.55/0.73  ; The agenda of rows to process has 54 entries:
% 0.55/0.73  ;     2 with value 5               6 with value 10              12 with value 12
% 0.55/0.73  ;     4 with value 9              12 with value 11              18 with value 13
% 0.55/0.73  ; The agenda of input rows to give has 334 entries:
% 0.55/0.73  ;    17 with value 11              9 with value 25               3 with value 39
% 0.55/0.73  ;    20 with value 12             10 with value 26               3 with value 41
% 0.55/0.73  ;    12 with value 13             20 with value 27               1 with value 42
% 0.55/0.73  ;    12 with value 14              6 with value 28               1 with value 43
% 0.55/0.73  ;    20 with value 15              6 with value 29               1 with value 44
% 0.55/0.73  ;    11 with value 16              2 with value 30               1 with value 45
% 0.55/0.73  ;    21 with value 17              6 with value 31               1 with value 47
% 0.55/0.73  ;    18 with value 18              8 with value 32               3 with value 48
% 0.55/0.73  ;    12 with value 19              4 with value 33               1 with value 49
% 0.55/0.73  ;     9 with value 20              7 with value 34               1 with value 50
% 0.55/0.73  ;    10 with value 21              6 with value 35               2 with value 52
% 0.55/0.73  ;    22 with value 22              4 with value 36               2 with value 53
% 0.55/0.73  ;    15 with value 23              9 with value 37               1 with value 59
% 0.55/0.73  ;    11 with value 24              5 with value 38               1 with value 140
% 0.55/0.73  ; The agenda of rows to give has 79 entries:
% 0.55/0.73  ;     1 with value (4 5)           8 with value (4 8)           13 with value (4 11)
% 0.55/0.73  ;     1 with value (4 6)           6 with value (4 9)           18 with value (4 12)
% 0.55/0.73  ;    19 with value (4 7)          13 with value (4 10)
% 0.55/0.73  Evaluation took:
% 0.55/0.73    0.241 seconds of real time
% 0.55/0.73    0.227494 seconds of user run time
% 0.55/0.73    0.013053 seconds of system run time
% 0.55/0.73    [Run times include 0.01 seconds GC run time.]
% 0.55/0.73    0 calls to %EVAL
% 0.55/0.73    0 page faults and
% 0.55/0.73    15,119,152 bytes consed.
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:49:36
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  * 
%------------------------------------------------------------------------------