TSTP Solution File: SYN653-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN653-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 12:02:19 EDT 2022

% Result   : Unsatisfiable 1.52s 1.83s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (  12 unt;   0 nHn;  11 RR)
%            Number of literals    :   26 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-8 aty)
%            Number of variables   :   55 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p7_4,negated_conjecture,
    p7(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_4) ).

cnf(p12_9,negated_conjecture,
    p12(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_9) ).

cnf(not_p12_10,negated_conjecture,
    ~ p12(f13(c22),f13(c23)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_10) ).

cnf(p12_13,negated_conjecture,
    ( p12(f13(X),f13(Y))
    | ~ p7(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_13) ).

cnf(p7_19,negated_conjecture,
    ( p7(X,Y)
    | ~ p7(Z,X)
    | ~ p7(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_19) ).

cnf(p12_24,negated_conjecture,
    ( p12(X,Y)
    | ~ p12(Z,X)
    | ~ p12(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_24) ).

cnf(p21_27,negated_conjecture,
    p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).

cnf(p7_32,negated_conjecture,
    ( p7(X,Y)
    | ~ p3(f11(Z,U,X,V,W,X1),f11(Y1,Z1,Y,U1,V1,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_32) ).

cnf(p12_37,negated_conjecture,
    ( p12(f13(X),f13(f17(Y,Z,U,V,W,X,X1,Y1)))
    | ~ p21(f11(Z,U,X,X1,Y1,V),W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_37) ).

cnf(p3_48,negated_conjecture,
    ( p3(X,f11(f19(Y,Z,U,V,X,W,X1,Y1),f18(Y,Z,U,V,X,W,X1,Y1),f17(Y,Z,U,V,X,W,X1,Y1),f16(Y,Z,U,V,X,W,X1,Y1),f15(Y,Z,U,V,X,W,X1,Y1),f14(Y,Z,U,V,X,W,X1,Y1)))
    | ~ p21(f11(Z,U,W,X1,Y1,V),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_48) ).

cnf(54,plain,
    p12(f13(c22),f13(f17(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
    inference('HYPERRESOLVE',[status(thm)],[p12_37,p21_27]) ).

cnf(56,plain,
    p3(f11(c29,c30,c23,c31,c32,c33),f11(f19(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f18(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f17(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f16(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f15(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f14(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
    inference('HYPERRESOLVE',[status(thm)],[p3_48,p21_27]) ).

cnf(1711,plain,
    p12(f13(f17(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),f13(c22)),
    inference('HYPERRESOLVE',[status(thm)],[p12_24,54,p12_9]) ).

cnf(1767,plain,
    ~ p12(f13(f17(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),f13(c23)),
    inference('UR-RESOLVE',[status(thm)],[p12_24,1711,not_p12_10]) ).

cnf(1824,plain,
    ~ p7(f17(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),c23),
    inference('UR-RESOLVE',[status(thm)],[p12_13,1767]) ).

cnf(1828,plain,
    ~ p7(c23,f17(X,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),
    inference('UR-RESOLVE',[status(thm)],[p7_19,1824,p7_4]) ).

cnf(1830,plain,
    ~ p3(f11(X,Y,c23,Z,U,V),f11(W,X1,f17(Y1,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),Z1,U1,V1)),
    inference('UR-RESOLVE',[status(thm)],[p7_32,1828]) ).

cnf(1831,plain,
    $false,
    inference('REWRITE',[status(thm)],[56,1830]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SYN653-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.16  % Command  : run-snark %s %d
% 0.07/0.35  % Computer : n016.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8042.1875MB
% 0.07/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 600
% 0.07/0.35  % DateTime : Mon Jul 11 23:17:43 EDT 2022
% 0.07/0.36  % CPUTime  : 
% 0.12/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.48  * 
% 0.12/0.48  * 
% 0.12/0.49  #<PACKAGE "SNARK-USER">
% 0.12/0.49  * 
% 0.12/0.49  SNARK-TPTP-OPTIONS
% 0.12/0.49  * 
% 0.12/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.49   (USE-FACTORING :POS)
% 0.12/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.49  * 
% 0.12/0.49  "."
% 0.12/0.49  * 
% 0.12/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:17:43
% 0.12/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-11T23:17:43
% 1.52/1.83  
% 1.52/1.83  
% 1.52/1.83  #||
% 1.52/1.83  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.83  % SZS output start Refutation
% See solution above
% 1.52/1.84  ||#
% 1.52/1.84  
% 1.52/1.84  ; Summary of computation:
% 1.52/1.84  ;      4001 formulas have been input or derived (from 76 formulas).
% 1.52/1.84  ;      1831 (46%) were retained.  Of these,
% 1.52/1.84  ;            1 ( 0%) were simplified or subsumed later,
% 1.52/1.84  ;         1830 (100%) are still being kept.
% 1.52/1.84  ; 
% 1.52/1.84  ; Run time in seconds excluding printing time:
% 1.52/1.84  ;     0.007   1%   Read assertion file          (1 call)
% 1.52/1.84  ;     0.001   0%   Assert                       (48 calls)
% 1.52/1.84  ;     0.368  27%   Process new row              (3,898 calls)
% 1.52/1.84  ;     0.379  28%   Resolution                   (150 calls)
% 1.52/1.84  ;     0.001   0%   Paramodulation               (75 calls)
% 1.52/1.84  ;     0.002   0%   Condensing                   (36 calls)
% 1.52/1.84  ;     0.001   0%   Forward subsumption          (36 calls)
% 1.52/1.84  ;     0.001   0%   Backward subsumption         (34 calls)
% 1.52/1.84  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 1.52/1.84  ;     0.331  25%   Forward simplification       (3,898 calls)
% 1.52/1.84  ;     0.231  17%   Backward simplification      (1,831 calls)
% 1.52/1.84  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.52/1.84  ;     0.000   0%   Purity testing               (1 call)
% 1.52/1.84  ;     0.025   2%   Other
% 1.52/1.84  ;     1.348        Total
% 1.52/1.84  ;     1.350        Real time
% 1.52/1.84  ; 
% 1.52/1.84  ; Term-hash-array has 4,733 terms in all.
% 1.52/1.84  ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 1.52/1.84  ; Feature-vector-row-index has 152 nodes (152 at peak, 152 added, 0 deleted).
% 1.52/1.84  ;  Retrieved 3 possibly forward subsuming rows in 36 calls.
% 1.52/1.84  ;  Retrieved 0 possibly backward subsumed rows in 34 calls.
% 1.52/1.84  ; Path-index has 4,740 entries (4,745 at peak, 4,745 added, 5 deleted).
% 1.52/1.84  ; Path-index has 4,957 nodes (5,064 at peak, 5,064 added, 107 deleted).
% 1.52/1.84  ; Trie-index has 4,740 entries (4,745 at peak, 4,745 added, 5 deleted).
% 1.52/1.84  ; Trie-index has 51,650 nodes (51,874 at peak, 51,874 added, 224 deleted).
% 1.52/1.84  ; Retrieved 18,134 generalization terms in 3,993 calls.
% 1.52/1.84  ; Retrieved 7,514 instance terms in 1,796 calls.
% 1.52/1.84  ; Retrieved 1,136,856 unifiable terms in 13,896 calls.
% 1.52/1.84  ; 
% 1.52/1.84  ; The agenda of rows to give has 1754 entries:
% 1.52/1.84  ;     3 with value (4 27)         15 with value (4 41)           3 with value (4 57)
% 1.52/1.84  ;     1 with value (4 28)         14 with value (4 48)         112 with value (4 62)
% 1.52/1.84  ;     1 with value (4 30)         18 with value (4 49)         113 with value (4 63)
% 1.52/1.84  ;     2 with value (4 31)         88 with value (4 50)         138 with value (4 64)
% 1.52/1.84  ;     2 with value (4 33)         84 with value (4 51)         149 with value (4 65)
% 1.52/1.84  ;     5 with value (4 35)         42 with value (4 52)          63 with value (4 66)
% 1.52/1.84  ;    19 with value (4 36)         81 with value (4 53)         161 with value (4 67)
% 1.52/1.84  ;    18 with value (4 37)         60 with value (4 54)         224 with value (4 76)
% 1.52/1.84  ;     8 with value (4 38)         49 with value (4 55)         224 with value (4 77)
% 1.52/1.84  ;    23 with value (4 39)          2 with value (4 56)           1 with value (4 105)
% 1.52/1.84  ;    31 with value (4 40)
% 1.52/1.84  Evaluation took:
% 1.52/1.84    1.351 seconds of real time
% 1.52/1.84    1.294815 seconds of user run time
% 1.52/1.84    0.055106 seconds of system run time
% 1.52/1.84    [Run times include 0.133 seconds GC run time.]
% 1.52/1.84    0 calls to %EVAL
% 1.52/1.84    0 page faults and
% 1.52/1.84    79,691,120 bytes consed.
% 1.52/1.84  :PROOF-FOUND
% 1.52/1.84  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T23:17:45
% 1.52/1.84  :PROOF-FOUND
% 1.52/1.84  * 
%------------------------------------------------------------------------------