TSTP Solution File: LCL506+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL506+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 14:23:22 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(17,axiom,
    ( and_1
    | ~ is_a_theorem(implies(and('SKOLEMAAAU14','SKOLEMAAAU15'),'SKOLEMAAAU14')) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',and_1) ).

cnf(36,axiom,
    ( ~ kn2
    | is_a_theorem(implies(and(X,Y),X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',kn2) ).

cnf(64,axiom,
    kn2,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+5.ax',rosser_kn2) ).

cnf(67,negated_conjecture,
    ~ and_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1) ).

cnf(68,plain,
    ~ is_a_theorem(implies(and('SKOLEMAAAU14','SKOLEMAAAU15'),'SKOLEMAAAU14')),
    inference('REWRITE',[status(thm)],[17,67]) ).

cnf(71,plain,
    is_a_theorem(implies(and(X,Y),X)),
    inference('REWRITE',[status(thm)],[36,64]) ).

cnf(72,plain,
    $false,
    inference('REWRITE',[status(thm)],[68,71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL506+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n003.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 : Mon Jul  4 21:37:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T21:37:40
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-04T21:37:40
% 0.19/0.50  WARNING:
% 0.19/0.50     #:|op_implies_or| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.50  WARNING:
% 0.19/0.50     #:|op_and| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;        82 formulas have been input or derived (from 1 formulas).
% 0.19/0.52  ;        72 (88%) were retained.  Of these,
% 0.19/0.52  ;           19 (26%) were simplified or subsumed later,
% 0.19/0.52  ;           53 (74%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.008  17%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.004   9%   Assert                       (43 calls)
% 0.19/0.52  ;     0.007  15%   Process new row              (77 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (59 calls)
% 0.19/0.52  ;     0.002   4%   Forward subsumption          (59 calls)
% 0.19/0.52  ;     0.002   4%   Backward subsumption         (59 calls)
% 0.19/0.52  ;     0.001   2%   Forward simplification       (75 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (72 calls)
% 0.19/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.52  ;     0.020  43%   Other
% 0.19/0.52  ;     0.047        Total
% 0.19/0.52  ;     0.049        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 202 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 41 entries (58 at peak, 59 added, 18 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 297 nodes (391 at peak, 394 added, 97 deleted).
% 0.19/0.52  ;  Retrieved 10 possibly forward subsuming rows in 59 calls.
% 0.19/0.52  ;  Retrieved 10 possibly backward subsumed rows in 59 calls.
% 0.19/0.52  ; Path-index has 236 entries (286 at peak, 302 added, 66 deleted).
% 0.19/0.52  ; Path-index has 639 nodes (737 at peak, 764 added, 125 deleted).
% 0.19/0.52  ; Trie-index has 236 entries (286 at peak, 302 added, 66 deleted).
% 0.19/0.52  ; Trie-index has 644 nodes (782 at peak, 824 added, 180 deleted).
% 0.19/0.52  ; Retrieved 0 generalization terms in 3 calls.
% 0.19/0.52  ; Retrieved 15 instance terms in 12 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.19/0.52  ;     5 with value 0
% 0.19/0.52  ; The agenda of input rows to give has 52 entries:
% 0.19/0.52  ;     9 with value 1              10 with value 12              10 with value 17
% 0.19/0.52  ;     1 with value 9               2 with value 13               1 with value 19
% 0.19/0.52  ;    13 with value 10              4 with value 15               2 with value 20
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.049 seconds of real time
% 0.19/0.52    0.038592 seconds of user run time
% 0.19/0.52    0.00998 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    2,898,688 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T21:37:40
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------