TSTP Solution File: SYN056+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 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 11:57:06 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (   9 unt;   6 nHn;  22 RR)
%            Number of literals    :   41 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ big_p(X)
    | big_q('SKOLEMAAAV1') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26_1) ).

cnf(2,axiom,
    ( big_p('SKOLEMAAAV2')
    | ~ big_q(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26_1) ).

cnf(3,axiom,
    ( ~ big_p(X)
    | ~ big_q(Y)
    | ~ big_r(X)
    | big_s(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26_2) ).

cnf(4,axiom,
    ( ~ big_p(X)
    | ~ big_q(Y)
    | big_r(X)
    | ~ big_s(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26_2) ).

cnf(5,negated_conjecture,
    ( big_p('SKOLEMAAAV3')
    | big_q('SKOLEMAAAV4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26) ).

cnf(6,negated_conjecture,
    ( big_p('SKOLEMAAAV3')
    | ~ big_s('SKOLEMAAAV4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26) ).

cnf(7,negated_conjecture,
    ( ~ big_r('SKOLEMAAAV3')
    | big_q('SKOLEMAAAV4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26) ).

cnf(8,negated_conjecture,
    ( ~ big_r('SKOLEMAAAV3')
    | ~ big_s('SKOLEMAAAV4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26) ).

cnf(9,negated_conjecture,
    ( ~ big_p(X)
    | big_r(X)
    | ~ big_q(Y)
    | big_s(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26) ).

cnf(10,plain,
    ( big_p('SKOLEMAAAV3')
    | big_p('SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[2,5]) ).

cnf(11,plain,
    ( big_p('SKOLEMAAAV2')
    | big_q('SKOLEMAAAV1') ),
    inference('HYPERRESOLVE',[status(thm)],[1,10]) ).

cnf(12,plain,
    big_p('SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[2,11]) ).

cnf(13,plain,
    big_q('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[1,12]) ).

cnf(15,plain,
    ( big_r('SKOLEMAAAV2')
    | big_s('SKOLEMAAAV1') ),
    inference('HYPERRESOLVE',[status(thm)],[9,13,12]) ).

cnf(16,plain,
    big_r('SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[4,15,12,13]) ).

cnf(17,plain,
    big_s('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[3,16,12,13]) ).

cnf(18,plain,
    ( big_p('SKOLEMAAAV3')
    | big_s('SKOLEMAAAV4') ),
    inference('HYPERRESOLVE',[status(thm)],[3,16,12,5]) ).

cnf(19,plain,
    big_p('SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[6,18]) ).

cnf(20,plain,
    big_r('SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[4,19,13,17]) ).

cnf(21,plain,
    big_q('SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[7,20]) ).

cnf(22,plain,
    ~ big_s('SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[8,20]) ).

cnf(23,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,21,12,16]),22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n021.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 : Mon Jul 11 21:59:08 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.48  * 
% 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 2022-07-11T21:59:08
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T21:59:08
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  #||
% 0.21/0.51  % SZS status Theorem 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  ;        35 formulas have been input or derived (from 20 formulas).
% 0.21/0.51  ;        23 (66%) were retained.  Of these,
% 0.21/0.51  ;           11 (48%) were simplified or subsumed later,
% 0.21/0.51  ;           12 (52%) 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   4%   Read assertion file          (1 call)
% 0.21/0.51  ;     0.001   4%   Assert                       (3 calls)
% 0.21/0.51  ;     0.000   0%   Process new row              (29 calls)
% 0.21/0.51  ;     0.001   4%   Resolution                   (38 calls)
% 0.21/0.51  ;     0.000   0%   Paramodulation               (19 calls)
% 0.21/0.51  ;     0.000   0%   Factoring                    (5 calls)
% 0.21/0.51  ;     0.000   0%   Condensing                   (15 calls)
% 0.21/0.51  ;     0.000   0%   Forward subsumption          (15 calls)
% 0.21/0.51  ;     0.000   0%   Backward subsumption         (14 calls)
% 0.21/0.51  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.21/0.51  ;     0.001   4%   Forward simplification       (27 calls)
% 0.21/0.51  ;     0.000   0%   Backward simplification      (23 calls)
% 0.21/0.51  ;     0.000   0%   Ordering                     (13 calls)
% 0.21/0.51  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.21/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.51  ;     0.023  82%   Other
% 0.21/0.51  ;     0.028        Total
% 0.21/0.51  ;     0.031        Real time
% 0.21/0.51  ; 
% 0.21/0.51  ; Term-hash-array has 13 terms in all.
% 0.21/0.51  ; Feature-vector-row-index has 3 entries (11 at peak, 14 added, 11 deleted).
% 0.21/0.51  ; Feature-vector-row-index has 10 nodes (41 at peak, 56 added, 46 deleted).
% 0.21/0.51  ;  Retrieved 1 possibly forward subsuming row in 15 calls.
% 0.21/0.51  ;  Retrieved 0 possibly backward subsumed rows in 14 calls.
% 0.21/0.51  ; Path-index has 16 entries (16 at peak, 21 added, 5 deleted).
% 0.21/0.51  ; Path-index has 21 nodes (21 at peak, 25 added, 4 deleted).
% 0.21/0.51  ; Trie-index has 16 entries (16 at peak, 21 added, 5 deleted).
% 0.21/0.51  ; Trie-index has 21 nodes (21 at peak, 25 added, 4 deleted).
% 0.21/0.51  ; Retrieved 6 generalization terms in 13 calls.
% 0.21/0.51  ; Retrieved 8 instance terms in 8 calls.
% 0.21/0.51  ; Retrieved 246 unifiable terms in 175 calls.
% 0.21/0.51  ; 
% 0.21/0.51  ; The agenda of rows to process has 1 entry:
% 0.21/0.51  ;     1 with value 15
% 0.21/0.51  ; The agenda of input rows to give has 1 entry:
% 0.21/0.51  ;     1 with value 3
% 0.21/0.51  ; The agenda of rows to give has 1 entry:
% 0.21/0.51  ;     1 with value (4 12)
% 0.21/0.51  Evaluation took:
% 0.21/0.51    0.031 seconds of real time
% 0.21/0.51    0.023001 seconds of user run time
% 0.21/0.51    0.007985 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    2,587,328 bytes consed.
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:59:09
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  * 
%------------------------------------------------------------------------------