TSTP Solution File: SYN687-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 12:02:32 EDT 2022

% Result   : Unsatisfiable 0.37s 0.55s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   2 nHn;   7 RR)
%            Number of literals    :   17 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p34_19,negated_conjecture,
    p34(c36,c37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).

cnf(not_p4_40,negated_conjecture,
    ~ p4(f5(X,f7(c38,X)),f5(f9(c39,X),f7(c38,X))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_40) ).

cnf(p4_55,negated_conjecture,
    ( p4(f5(f9(c39,X),Y),f5(f9(c39,Z),Y))
    | p35(f12(c37,f14(f16(f18(c40,X),Z),Y)),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_55) ).

cnf(p4_56,negated_conjecture,
    ( p4(f5(f9(c39,X),Y),f5(f9(c39,Z),Y))
    | ~ p4(f5(X,f14(f16(f18(c40,X),Z),Y)),f5(Z,f14(f16(f18(c40,X),Z),Y))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_56) ).

cnf(p4_57,negated_conjecture,
    ( p4(f5(f26(f28(c46,X),Y),Z),f5(f26(f28(c47,X),Y),Z))
    | p4(f5(f26(f28(c46,X),Y),U),f5(f9(Y,f26(f28(c46,X),Y)),U))
    | ~ p34(c36,X)
    | ~ p35(f12(X,Z),f30(f32(c45,X),Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).

cnf(p4_58,negated_conjecture,
    ( p4(f5(f26(f28(c46,X),Y),Z),f5(f9(Y,f26(f28(c46,X),Y)),Z))
    | ~ p34(c36,X)
    | ~ p4(f5(f9(Y,f26(f28(c46,X),Y)),f30(f32(c45,X),Y)),f5(f9(Y,f26(f28(c47,X),Y)),f30(f32(c45,X),Y))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).

cnf(68,plain,
    ~ p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),
    inference('UR-RESOLVE',[status(thm)],[p4_58,not_p4_40,p34_19]) ).

cnf(88,plain,
    p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)),
    inference('HYPERRESOLVE',[status(thm)],[68,p4_55]) ).

cnf(90,plain,
    ~ p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))),
    inference('UR-RESOLVE',[status(thm)],[p4_56,68]) ).

cnf(99,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p4_57,88,not_p4_40,p34_19]),90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN687-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n008.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 : Mon Jul 11 16:14:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:14:23
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T16:14:23
% 0.37/0.55  
% 0.37/0.55  
% 0.37/0.55  #||
% 0.37/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/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  ;       224 formulas have been input or derived (from 78 formulas).
% 0.37/0.55  ;        99 (44%) were retained.  Of these,
% 0.37/0.55  ;            2 ( 2%) were simplified or subsumed later,
% 0.37/0.55  ;           97 (98%) are still being kept.
% 0.37/0.55  ; 
% 0.37/0.55  ; Run time in seconds excluding printing time:
% 0.37/0.55  ;     0.013  17%   Read assertion file          (1 call)
% 0.37/0.55  ;     0.002   3%   Assert                       (60 calls)
% 0.37/0.55  ;     0.017  22%   Process new row              (186 calls)
% 0.37/0.55  ;     0.007   9%   Resolution                   (154 calls)
% 0.37/0.55  ;     0.001   1%   Paramodulation               (77 calls)
% 0.37/0.55  ;     0.000   0%   Factoring                    (2 calls)
% 0.37/0.55  ;     0.001   1%   Condensing                   (67 calls)
% 0.37/0.55  ;     0.006   8%   Forward subsumption          (67 calls)
% 0.37/0.55  ;     0.003   4%   Backward subsumption         (57 calls)
% 0.37/0.55  ;     0.000   0%   Clause clause subsumption    (71 calls)
% 0.37/0.55  ;     0.004   5%   Forward simplification       (186 calls)
% 0.37/0.55  ;     0.000   0%   Backward simplification      (99 calls)
% 0.37/0.55  ;     0.000   0%   Ordering                     (71 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  ;     0.023  30%   Other
% 0.37/0.55  ;     0.077        Total
% 0.37/0.55  ;     0.078        Real time
% 0.37/0.55  ; 
% 0.37/0.55  ; Term-hash-array has 353 terms in all.
% 0.37/0.55  ; Feature-vector-row-index has 55 entries (57 at peak, 57 added, 2 deleted).
% 0.37/0.55  ; Feature-vector-row-index has 390 nodes (456 at peak, 456 added, 66 deleted).
% 0.37/0.55  ;  Retrieved 79 possibly forward subsuming rows in 67 calls.
% 0.37/0.55  ;  Retrieved 29 possibly backward subsumed rows in 57 calls.
% 0.37/0.55  ; Path-index has 362 entries (362 at peak, 365 added, 3 deleted).
% 0.37/0.55  ; Path-index has 1,285 nodes (1,285 at peak, 1,289 added, 4 deleted).
% 0.37/0.55  ; Trie-index has 362 entries (362 at peak, 365 added, 3 deleted).
% 0.37/0.55  ; Trie-index has 1,432 nodes (1,432 at peak, 1,448 added, 16 deleted).
% 0.37/0.55  ; Retrieved 267 generalization terms in 306 calls.
% 0.37/0.55  ; Retrieved 42 instance terms in 41 calls.
% 0.37/0.55  ; Retrieved 1,820 unifiable terms in 684 calls.
% 0.37/0.55  ; 
% 0.37/0.55  ; The agenda of rows to process has 1 entry:
% 0.37/0.55  ;     1 with value 83
% 0.37/0.55  ; The agenda of rows to give has 19 entries:
% 0.37/0.55  ;     1 with value (4 36)          3 with value (4 48)           1 with value (4 61)
% 0.37/0.55  ;     1 with value (4 39)          1 with value (4 58)           1 with value (4 132)
% 0.37/0.55  ;     1 with value (4 41)          1 with value (4 59)           7 with value (4 133)
% 0.37/0.55  ;     1 with value (4 47)          1 with value (4 60)
% 0.37/0.55  Evaluation took:
% 0.37/0.55    0.078 seconds of real time
% 0.37/0.55    0.072211 seconds of user run time
% 0.37/0.55    0.006077 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    6,027,008 bytes consed.
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:14:23
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  * 
%------------------------------------------------------------------------------