TSTP Solution File: LCL035-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL035-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:19:41 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :   11 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c0_CAMerideth,axiom,
    is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_CAMerideth) ).

cnf(prove_c0_4,negated_conjecture,
    ~ is_a_theorem(implies(falsehood,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_4) ).

cnf(4,plain,
    is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),implies(Y,U)),implies(V,implies(Y,U)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,c0_CAMerideth,c0_CAMerideth]) ).

cnf(5,plain,
    ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X))),implies(falsehood,a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,c0_CAMerideth,prove_c0_4]) ).

cnf(7,plain,
    is_a_theorem(implies(implies(implies(X,implies(falsehood,Y)),Z),implies(U,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,c0_CAMerideth]) ).

cnf(17,plain,
    is_a_theorem(implies(X,implies(Y,implies(falsehood,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,4]) ).

cnf(24,plain,
    is_a_theorem(implies(X,implies(falsehood,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,17,7]) ).

cnf(25,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL035-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % 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 : Sat Jul  2 10:52:05 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T10:52:05
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-02T10:52:05
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  #||
% 0.21/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51  % SZS output start Refutation
% See solution above
% 0.21/0.51  ||#
% 0.21/0.51  
% 0.21/0.51  ; Summary of computation:
% 0.21/0.51  ;        95 formulas have been input or derived (from 9 formulas).
% 0.21/0.51  ;        25 (26%) were retained.  Of these,
% 0.21/0.51  ;            6 (24%) were simplified or subsumed later,
% 0.21/0.51  ;           19 (76%) are still being kept.
% 0.21/0.51  ; 
% 0.21/0.51  ; Run time in seconds excluding printing time:
% 0.21/0.51  ;     0.001   3%   Read assertion file          (1 call)
% 0.21/0.51  ;     0.000   0%   Assert                       (3 calls)
% 0.21/0.51  ;     0.006  19%   Process new row              (55 calls)
% 0.21/0.51  ;     0.000   0%   Resolution                   (16 calls)
% 0.21/0.51  ;     0.000   0%   Paramodulation               (8 calls)
% 0.21/0.51  ;     0.000   0%   Condensing                   (1 call)
% 0.21/0.51  ;     0.000   0%   Forward subsumption          (1 call)
% 0.21/0.51  ;     0.000   0%   Backward subsumption         (1 call)
% 0.21/0.51  ;     0.001   3%   Forward simplification       (55 calls)
% 0.21/0.51  ;     0.002   6%   Backward simplification      (25 calls)
% 0.21/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.51  ;     0.021  68%   Other
% 0.21/0.51  ;     0.031        Total
% 0.21/0.51  ;     0.033        Real time
% 0.21/0.51  ; 
% 0.21/0.51  ; Term-hash-array has 97 terms in all.
% 0.21/0.51  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.21/0.51  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.21/0.51  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.21/0.51  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.21/0.51  ; Path-index has 86 entries (99 at peak, 99 added, 13 deleted).
% 0.21/0.51  ; Path-index has 312 nodes (334 at peak, 334 added, 22 deleted).
% 0.21/0.51  ; Trie-index has 86 entries (99 at peak, 99 added, 13 deleted).
% 0.21/0.51  ; Trie-index has 386 nodes (500 at peak, 500 added, 114 deleted).
% 0.21/0.51  ; Retrieved 38 generalization terms in 52 calls.
% 0.21/0.51  ; Retrieved 36 instance terms in 23 calls.
% 0.21/0.51  ; Retrieved 423 unifiable terms in 138 calls.
% 0.21/0.51  ; 
% 0.21/0.51  ; The agenda of rows to process has 12 entries:
% 0.21/0.51  ;     3 with value 13              1 with value 18               1 with value 23
% 0.21/0.51  ;     4 with value 16              3 with value 21
% 0.21/0.51  ; The agenda of rows to give has 10 entries:
% 0.21/0.51  ;     1 with value (4 13)          1 with value (4 25)           1 with value (4 32)
% 0.21/0.51  ;     1 with value (4 15)          1 with value (4 26)           1 with value (4 34)
% 0.21/0.51  ;     2 with value (4 20)          1 with value (4 29)           1 with value (4 39)
% 0.21/0.51  Evaluation took:
% 0.21/0.51    0.033 seconds of real time
% 0.21/0.51    0.028047 seconds of user run time
% 0.21/0.51    0.005021 seconds of system run time
% 0.21/0.51    0 calls to %EVAL
% 0.21/0.51    0 page faults and
% 0.21/0.51    2,305,336 bytes consed.
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T10:52:05
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  * 
%------------------------------------------------------------------------------