TSTP Solution File: LCL033-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (  10 unt;   0 nHn;   4 RR)
%            Number of literals    :   13 (   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',c0_CAMerideth) ).

cnf(prove_c0_2,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(b,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_2) ).

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(a,implies(b,a)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,c0_CAMerideth,prove_c0_2]) ).

cnf(8,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(27,plain,
    is_a_theorem(implies(X,implies(Y,implies(falsehood,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,8,4]) ).

cnf(37,plain,
    is_a_theorem(implies(X,implies(falsehood,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,27,8]) ).

cnf(43,plain,
    is_a_theorem(implies(implies(implies(falsehood,X),Y),implies(Z,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,37,c0_CAMerideth]) ).

cnf(92,plain,
    is_a_theorem(implies(X,implies(Y,implies(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,43,4]) ).

cnf(93,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,92]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n010.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 10:26:33 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T10:26:33
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-03T10:26:33
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Unsatisfiable 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  ;       247 formulas have been input or derived (from 19 formulas).
% 0.19/0.52  ;        93 (38%) were retained.  Of these,
% 0.19/0.52  ;           12 (13%) were simplified or subsumed later,
% 0.19/0.52  ;           81 (87%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.001   2%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.000   0%   Assert                       (3 calls)
% 0.19/0.52  ;     0.011  23%   Process new row              (175 calls)
% 0.19/0.52  ;     0.007  15%   Resolution                   (36 calls)
% 0.19/0.52  ;     0.001   2%   Paramodulation               (18 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (1 call)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (1 call)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (1 call)
% 0.19/0.52  ;     0.001   2%   Forward simplification       (175 calls)
% 0.19/0.52  ;     0.003   6%   Backward simplification      (93 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.024  50%   Other
% 0.19/0.52  ;     0.048        Total
% 0.19/0.52  ;     0.050        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 283 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.19/0.52  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.52  ; Path-index has 261 entries (283 at peak, 286 added, 25 deleted).
% 0.19/0.52  ; Path-index has 373 nodes (375 at peak, 375 added, 2 deleted).
% 0.19/0.52  ; Trie-index has 261 entries (283 at peak, 286 added, 25 deleted).
% 0.19/0.52  ; Trie-index has 970 nodes (1,063 at peak, 1,072 added, 102 deleted).
% 0.19/0.52  ; Retrieved 136 generalization terms in 172 calls.
% 0.19/0.52  ; Retrieved 146 instance terms in 91 calls.
% 0.19/0.52  ; Retrieved 1,387 unifiable terms in 284 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 18 entries:
% 0.19/0.52  ;     6 with value 18              3 with value 25               1 with value 30
% 0.19/0.52  ;     1 with value 20              1 with value 27               1 with value 31
% 0.19/0.52  ;     1 with value 23              2 with value 29               1 with value 33
% 0.19/0.52  ;     1 with value 24
% 0.19/0.52  ; The agenda of rows to give has 64 entries:
% 0.19/0.52  ;     1 with value (4 15)          2 with value (4 26)           6 with value (4 33)
% 0.19/0.52  ;     1 with value (4 18)          8 with value (4 27)           1 with value (4 34)
% 0.19/0.52  ;     1 with value (4 19)          2 with value (4 28)           2 with value (4 36)
% 0.19/0.52  ;     1 with value (4 20)          5 with value (4 29)           3 with value (4 38)
% 0.19/0.52  ;     3 with value (4 22)          1 with value (4 30)           3 with value (4 39)
% 0.19/0.52  ;     3 with value (4 23)          1 with value (4 31)           3 with value (4 41)
% 0.19/0.52  ;     4 with value (4 24)          7 with value (4 32)           2 with value (4 42)
% 0.19/0.52  ;     4 with value (4 25)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.051 seconds of real time
% 0.19/0.52    0.043962 seconds of user run time
% 0.19/0.52    0.006826 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    3,328,816 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T10:26:33
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------