TSTP Solution File: SYN039-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 11:56:51 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   3 unt;   7 nHn;   3 RR)
%            Number of literals    :   36 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   48 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_2,negated_conjecture,
    ( p(f1(X,Y),f1(X,Y))
    | ~ s(X,f1(X,Y))
    | q(f1(X,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_2) ).

cnf(c_5,negated_conjecture,
    ( p(f1(X,Y),f1(X,Y))
    | s(f1(X,Y),Z)
    | q(f1(X,Y),U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).

cnf(c_9,negated_conjecture,
    ( p(f1(X,Y),f1(X,Y))
    | ~ q(Z,Z)
    | ~ s(Y,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).

cnf(c_12,negated_conjecture,
    ( ~ p(X,X)
    | ~ s(X,f1(X,Y))
    | ~ s(Y,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).

cnf(c_14,negated_conjecture,
    ( ~ p(X,X)
    | s(f1(X,Y),Z)
    | q(f1(X,Y),U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).

cnf(c_16,negated_conjecture,
    ( ~ p(X,X)
    | ~ q(Y,Y)
    | ~ q(Z,f1(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).

cnf(c_21,negated_conjecture,
    ( s(X,Y)
    | ~ s(Y,f1(Y,Z))
    | ~ s(Z,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_21) ).

cnf(c_25,negated_conjecture,
    ( s(X,Y)
    | ~ q(Z,Z)
    | ~ q(U,f1(Y,U)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_25) ).

cnf(36,plain,
    ( p(f1(X,Y),f1(X,Y))
    | q(f1(X,Y),Z)
    | s(U,f1(X,Y)) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[c_21,c_5,c_5])]) ).

cnf(42,plain,
    ( p(f1(X,Y),f1(X,Y))
    | q(f1(X,Y),Z) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[c_2,36])]) ).

cnf(44,plain,
    ( p(f1(X,Y),f1(X,Y))
    | s(Z,U) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[c_25,42,42])]) ).

cnf(46,plain,
    p(f1(X,Y),f1(X,Y)),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[c_9,44,42])]) ).

cnf(47,plain,
    ( s(f1(f1(X,Y),Z),U)
    | q(f1(f1(X,Y),Z),V) ),
    inference('HYPERRESOLVE',[status(thm)],[c_14,46]) ).

cnf(49,plain,
    q(f1(f1(X,Y),Z),U),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[c_12,47,46,47])]) ).

cnf(50,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[c_16,49,46,49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n027.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 11 16:39:49 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:39:49
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-11T16:39:49
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  #||
% 0.20/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55  % SZS output start Refutation
% See solution above
% 0.20/0.55  ||#
% 0.20/0.55  
% 0.20/0.55  ; Summary of computation:
% 0.20/0.55  ;       127 formulas have been input or derived (from 34 formulas).
% 0.20/0.55  ;        50 (39%) were retained.  Of these,
% 0.20/0.55  ;           27 (54%) were simplified or subsumed later,
% 0.20/0.55  ;           23 (46%) are still being kept.
% 0.20/0.55  ; 
% 0.20/0.55  ; Run time in seconds excluding printing time:
% 0.20/0.55  ;     0.006  12%   Read assertion file          (1 call)
% 0.20/0.55  ;     0.000   0%   Assert                       (27 calls)
% 0.20/0.55  ;     0.005  10%   Process new row              (102 calls)
% 0.20/0.55  ;     0.007  14%   Resolution                   (66 calls)
% 0.20/0.55  ;     0.000   0%   Paramodulation               (33 calls)
% 0.20/0.55  ;     0.000   0%   Factoring                    (6 calls)
% 0.20/0.55  ;     0.002   4%   Condensing                   (67 calls)
% 0.20/0.55  ;     0.002   4%   Forward subsumption          (65 calls)
% 0.20/0.55  ;     0.002   4%   Backward subsumption         (47 calls)
% 0.20/0.55  ;     0.000   0%   Clause clause subsumption    (81 calls)
% 0.20/0.55  ;     0.001   2%   Forward simplification       (68 calls)
% 0.20/0.55  ;     0.000   0%   Backward simplification      (50 calls)
% 0.20/0.55  ;     0.000   0%   Ordering                     (88 calls)
% 0.20/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.55  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.55  ;     0.024  48%   Other
% 0.20/0.55  ;     0.050        Total
% 0.20/0.55  ;     0.053        Real time
% 0.20/0.55  ; 
% 0.20/0.55  ; Term-hash-array has 67 terms in all.
% 0.20/0.55  ; Feature-vector-row-index has 20 entries (38 at peak, 47 added, 27 deleted).
% 0.20/0.55  ; Feature-vector-row-index has 57 nodes (128 at peak, 159 added, 102 deleted).
% 0.20/0.55  ;  Retrieved 68 possibly forward subsuming rows in 65 calls.
% 0.20/0.55  ;  Retrieved 30 possibly backward subsumed rows in 47 calls.
% 0.20/0.55  ; Path-index has 34 entries (49 at peak, 73 added, 39 deleted).
% 0.20/0.55  ; Path-index has 88 nodes (96 at peak, 110 added, 22 deleted).
% 0.20/0.55  ; Trie-index has 34 entries (49 at peak, 73 added, 39 deleted).
% 0.20/0.55  ; Trie-index has 59 nodes (88 at peak, 127 added, 68 deleted).
% 0.20/0.55  ; Retrieved 3 instance terms in 2 calls.
% 0.20/0.55  ; Retrieved 1,298 unifiable terms in 278 calls.
% 0.20/0.55  ; 
% 0.20/0.55  ; The agenda of rows to process has 15 entries:
% 0.20/0.55  ;     5 with value 11              1 with value 22               1 with value 25
% 0.20/0.55  ;     1 with value 17              1 with value 23               1 with value 29
% 0.20/0.55  ;     2 with value 21              2 with value 24               1 with value 36
% 0.20/0.55  ; The agenda of rows to give has 2 entries:
% 0.20/0.55  ;     1 with value (4 29)          1 with value (4 31)
% 0.20/0.55  Evaluation took:
% 0.20/0.55    0.054 seconds of real time
% 0.20/0.55    0.047541 seconds of user run time
% 0.20/0.55    0.005925 seconds of system run time
% 0.20/0.55    0 calls to %EVAL
% 0.20/0.55    0 page faults and
% 0.20/0.55    3,685,360 bytes consed.
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:39:49
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  * 
%------------------------------------------------------------------------------