TSTP Solution File: LCL027-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:19:39 EDT 2022

% Result   : Unsatisfiable 0.37s 0.55s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   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   :   11 (   3 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_2,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).

cnf(c0_5,axiom,
    is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_5) ).

cnf(c0_6,axiom,
    is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).

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

cnf(8,plain,
    ~ is_a_theorem(implies(implies(X,implies(Y,X)),implies(falsehood,a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,c0_2,prove_c0_4]) ).

cnf(114,plain,
    ~ is_a_theorem(implies(falsehood,implies(implies(X,falsehood),a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,c0_6]) ).

cnf(122,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,114,c0_2,c0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul  4 20:57:57 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T20:57:57
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-04T20:57:57
% 0.37/0.55  
% 0.37/0.55  
% 0.37/0.55  #||
% 0.37/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.55  % SZS output start Refutation
% See solution above
% 0.37/0.55  ||#
% 0.37/0.55  
% 0.37/0.55  ; Summary of computation:
% 0.37/0.55  ;       255 formulas have been input or derived (from 24 formulas).
% 0.37/0.55  ;       122 (48%) were retained.  Of these,
% 0.37/0.55  ;           25 (20%) were simplified or subsumed later,
% 0.37/0.55  ;           97 (80%) are still being kept.
% 0.37/0.55  ; 
% 0.37/0.55  ; Run time in seconds excluding printing time:
% 0.37/0.55  ;     0.001   2%   Read assertion file          (1 call)
% 0.37/0.55  ;     0.001   2%   Assert                       (5 calls)
% 0.37/0.55  ;     0.013  25%   Process new row              (200 calls)
% 0.37/0.55  ;     0.006  12%   Resolution                   (46 calls)
% 0.37/0.55  ;     0.000   0%   Paramodulation               (23 calls)
% 0.37/0.55  ;     0.000   0%   Condensing                   (1 call)
% 0.37/0.55  ;     0.000   0%   Forward subsumption          (1 call)
% 0.37/0.55  ;     0.000   0%   Backward subsumption         (1 call)
% 0.37/0.55  ;     0.005  10%   Forward simplification       (196 calls)
% 0.37/0.55  ;     0.002   4%   Backward simplification      (122 calls)
% 0.37/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.55  ;     0.024  46%   Other
% 0.37/0.55  ;     0.052        Total
% 0.37/0.55  ;     0.054        Real time
% 0.37/0.55  ; 
% 0.37/0.55  ; Term-hash-array has 306 terms in all.
% 0.37/0.55  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.37/0.55  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.37/0.55  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.37/0.55  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.37/0.55  ; Path-index has 255 entries (255 at peak, 308 added, 53 deleted).
% 0.37/0.55  ; Path-index has 241 nodes (241 at peak, 254 added, 13 deleted).
% 0.37/0.55  ; Trie-index has 255 entries (255 at peak, 308 added, 53 deleted).
% 0.37/0.55  ; Trie-index has 661 nodes (661 at peak, 806 added, 145 deleted).
% 0.37/0.55  ; Retrieved 588 generalization terms in 194 calls.
% 0.37/0.55  ; Retrieved 335 instance terms in 120 calls.
% 0.37/0.55  ; Retrieved 2,119 unifiable terms in 312 calls.
% 0.37/0.55  ; 
% 0.37/0.55  ; The agenda of rows to process has 9 entries:
% 0.37/0.55  ;     1 with value 12              1 with value 21               2 with value 24
% 0.37/0.55  ;     1 with value 15              1 with value 22               1 with value 30
% 0.37/0.55  ;     1 with value 20              1 with value 23
% 0.37/0.55  ; The agenda of rows to give has 77 entries:
% 0.37/0.55  ;     6 with value (4 16)          8 with value (4 22)           1 with value (4 27)
% 0.37/0.55  ;     4 with value (4 17)          8 with value (4 23)           1 with value (4 28)
% 0.37/0.55  ;     4 with value (4 18)          7 with value (4 24)           2 with value (4 29)
% 0.37/0.55  ;     8 with value (4 19)          6 with value (4 25)           3 with value (4 30)
% 0.37/0.55  ;     9 with value (4 20)          1 with value (4 26)           2 with value (4 31)
% 0.37/0.55  ;     7 with value (4 21)
% 0.37/0.55  Evaluation took:
% 0.37/0.55    0.054 seconds of real time
% 0.37/0.55    0.04822 seconds of user run time
% 0.37/0.55    0.006168 seconds of system run time
% 0.37/0.55    0 calls to %EVAL
% 0.37/0.55    0 page faults and
% 0.37/0.55    2,972,400 bytes consed.
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T20:57:57
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  * 
%------------------------------------------------------------------------------