TSTP Solution File: SYN656-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 : Thu Jul 21 12:02:20 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (   9 unt;   1 nHn;   9 RR)
%            Number of literals    :   23 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
    p4(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

cnf(p3_6,negated_conjecture,
    p3(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).

cnf(p3_22,negated_conjecture,
    ( p3(X,Y)
    | ~ p3(Z,X)
    | ~ p3(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).

cnf(p25_31,negated_conjecture,
    p25(f5(c29,f13(c31,f15(c32,X))),f13(c31,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_31) ).

cnf(p25_32,negated_conjecture,
    ( p25(f5(f7(c28,X),Y),Z)
    | ~ p25(f5(X,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_32) ).

cnf(p25_35,negated_conjecture,
    ( p25(X,Y)
    | ~ p3(Z,Y)
    | ~ p4(U,X)
    | ~ p25(U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_35) ).

cnf(not_p25_45,negated_conjecture,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p25_45) ).

cnf(p25_46,negated_conjecture,
    ( p25(f5(f7(c28,X),Y),Z)
    | ~ p25(f5(X,Y),U)
    | ~ p25(f5(f7(c28,X),U),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_46) ).

cnf(p3_49,negated_conjecture,
    ( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X)))
    | p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X))),f13(c31,c34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_49) ).

cnf(51,plain,
    p25(f5(f7(c28,c29),f13(c31,f15(c32,X))),f13(c31,X)),
    inference('HYPERRESOLVE',[status(thm)],[p25_32,p25_31]) ).

cnf(55,plain,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),c35))),f13(c31,c34)),
    inference('UR-RESOLVE',[status(thm)],[p25_46,not_p25_45,p25_31]) ).

cnf(73,plain,
    ~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
    inference('UR-RESOLVE',[status(thm)],[p25_35,51,not_p25_45,p4_5]) ).

cnf(85,plain,
    ~ p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
    inference('UR-RESOLVE',[status(thm)],[p3_22,73,p3_6]) ).

cnf(90,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[85,p3_49]),55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n021.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 : Mon Jul 11 14:05:38 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:05:38
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T14:05:38
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  #||
% 0.21/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55  % SZS output start Refutation
% See solution above
% 0.21/0.55  ||#
% 0.21/0.55  
% 0.21/0.55  ; Summary of computation:
% 0.21/0.55  ;       183 formulas have been input or derived (from 64 formulas).
% 0.21/0.55  ;        90 (49%) were retained.  Of these,
% 0.21/0.55  ;           90 (100%) are still being kept.
% 0.21/0.55  ; 
% 0.21/0.55  ; Run time in seconds excluding printing time:
% 0.21/0.55  ;     0.009  16%   Read assertion file          (1 call)
% 0.21/0.55  ;     0.002   4%   Assert                       (49 calls)
% 0.21/0.55  ;     0.008  14%   Process new row              (153 calls)
% 0.21/0.55  ;     0.004   7%   Resolution                   (126 calls)
% 0.21/0.55  ;     0.000   0%   Paramodulation               (63 calls)
% 0.21/0.55  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.55  ;     0.002   4%   Condensing                   (41 calls)
% 0.21/0.55  ;     0.002   4%   Forward subsumption          (41 calls)
% 0.21/0.55  ;     0.001   2%   Backward subsumption         (38 calls)
% 0.21/0.55  ;     0.001   2%   Clause clause subsumption    (10 calls)
% 0.21/0.55  ;     0.003   5%   Forward simplification       (153 calls)
% 0.21/0.55  ;     0.001   2%   Backward simplification      (90 calls)
% 0.21/0.55  ;     0.000   0%   Ordering                     (14 calls)
% 0.21/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.55  ;     0.024  42%   Other
% 0.21/0.55  ;     0.057        Total
% 0.21/0.55  ;     0.059        Real time
% 0.21/0.55  ; 
% 0.21/0.55  ; Term-hash-array has 207 terms in all.
% 0.21/0.55  ; Feature-vector-row-index has 38 entries (38 at peak, 38 added, 0 deleted).
% 0.21/0.55  ; Feature-vector-row-index has 336 nodes (336 at peak, 336 added, 0 deleted).
% 0.21/0.55  ;  Retrieved 16 possibly forward subsuming rows in 41 calls.
% 0.21/0.55  ;  Retrieved 4 possibly backward subsumed rows in 38 calls.
% 0.21/0.55  ; Path-index has 218 entries (218 at peak, 218 added, 0 deleted).
% 0.21/0.55  ; Path-index has 661 nodes (661 at peak, 661 added, 0 deleted).
% 0.21/0.55  ; Trie-index has 218 entries (218 at peak, 218 added, 0 deleted).
% 0.21/0.55  ; Trie-index has 632 nodes (632 at peak, 632 added, 0 deleted).
% 0.21/0.55  ; Retrieved 207 generalization terms in 212 calls.
% 0.21/0.55  ; Retrieved 54 instance terms in 51 calls.
% 0.21/0.55  ; Retrieved 1,504 unifiable terms in 537 calls.
% 0.21/0.55  ; 
% 0.21/0.55  ; The agenda of rows to give has 26 entries:
% 0.21/0.55  ;     3 with value (4 19)          1 with value (4 24)           1 with value (4 36)
% 0.21/0.55  ;     1 with value (4 20)          2 with value (4 25)           1 with value (4 40)
% 0.21/0.55  ;     4 with value (4 21)          1 with value (4 26)           4 with value (4 41)
% 0.21/0.55  ;     2 with value (4 22)          1 with value (4 28)           1 with value (4 43)
% 0.21/0.55  ;     2 with value (4 23)          1 with value (4 31)           1 with value (4 60)
% 0.21/0.55  Evaluation took:
% 0.21/0.55    0.059 seconds of real time
% 0.21/0.55    0.049476 seconds of user run time
% 0.21/0.55    0.009971 seconds of system run time
% 0.21/0.55    0 calls to %EVAL
% 0.21/0.55    0 page faults and
% 0.21/0.55    3,906,360 bytes consed.
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:05:38
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  * 
%------------------------------------------------------------------------------