TSTP Solution File: SYN654-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN654-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 1.46s 1.64s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (  10 unt;   0 nHn;   8 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-8 aty)
%            Number of variables   :   48 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p8_3,negated_conjecture,
    p8(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).

cnf(not_p8_10,negated_conjecture,
    ~ p8(c22,c23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_10) ).

cnf(p8_18,negated_conjecture,
    ( p8(X,Y)
    | ~ p8(Z,X)
    | ~ p8(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).

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

cnf(p8_31,negated_conjecture,
    ( p8(X,Y)
    | ~ p3(f11(Z,U,V,X,W,X1),f11(Y1,Z1,U1,Y,V1,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).

cnf(p8_36,negated_conjecture,
    ( p8(X,f16(Y,Z,U,V,W,X1,X,Y1))
    | ~ p21(f11(Z,U,X1,X,Y1,V),W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_36) ).

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/sandbox/benchmark/theBenchmark.p',p3_48) ).

cnf(53,plain,
    p8(c22,f16(X,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
    inference('HYPERRESOLVE',[status(thm)],[p8_36,p21_27]) ).

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

cnf(152,plain,
    p8(f16(X,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
    inference('HYPERRESOLVE',[status(thm)],[p8_18,53,p8_3]) ).

cnf(858,plain,
    ~ p8(f16(X,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23),
    inference('UR-RESOLVE',[status(thm)],[p8_18,152,not_p8_10]) ).

cnf(1712,plain,
    ~ p8(c23,f16(X,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
    inference('UR-RESOLVE',[status(thm)],[p8_18,858,p8_3]) ).

cnf(1752,plain,
    ~ p3(f11(X,Y,Z,c23,U,V),f11(W,X1,Y1,f16(Z1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),U1,V1)),
    inference('UR-RESOLVE',[status(thm)],[p8_31,1712]) ).

cnf(1753,plain,
    $false,
    inference('REWRITE',[status(thm)],[56,1752]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN654-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jul 12 08:27:57 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:27:58
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-12T08:27:58
% 1.46/1.64  
% 1.46/1.64  
% 1.46/1.64  #||
% 1.46/1.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.64  % SZS output start Refutation
% See solution above
% 1.46/1.66  ||#
% 1.46/1.66  
% 1.46/1.66  ; Summary of computation:
% 1.46/1.66  ;      3707 formulas have been input or derived (from 72 formulas).
% 1.46/1.66  ;      1753 (47%) were retained.  Of these,
% 1.46/1.66  ;            1 ( 0%) were simplified or subsumed later,
% 1.46/1.66  ;         1752 (100%) are still being kept.
% 1.46/1.66  ; 
% 1.46/1.66  ; Run time in seconds excluding printing time:
% 1.46/1.66  ;     0.015   1%   Read assertion file          (1 call)
% 1.46/1.66  ;     0.002   0%   Assert                       (48 calls)
% 1.46/1.66  ;     0.288  25%   Process new row              (3,643 calls)
% 1.46/1.66  ;     0.321  28%   Resolution                   (142 calls)
% 1.46/1.66  ;     0.002   0%   Paramodulation               (71 calls)
% 1.46/1.66  ;     0.002   0%   Condensing                   (36 calls)
% 1.46/1.66  ;     0.001   0%   Forward subsumption          (36 calls)
% 1.46/1.66  ;     0.002   0%   Backward subsumption         (34 calls)
% 1.46/1.66  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 1.46/1.66  ;     0.271  24%   Forward simplification       (3,643 calls)
% 1.46/1.66  ;     0.195  17%   Backward simplification      (1,753 calls)
% 1.46/1.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.46/1.66  ;     0.000   0%   Purity testing               (1 call)
% 1.46/1.66  ;     0.036   3%   Other
% 1.46/1.66  ;     1.135        Total
% 1.46/1.66  ;     1.149        Real time
% 1.46/1.66  ; 
% 1.46/1.66  ; Term-hash-array has 4,503 terms in all.
% 1.46/1.66  ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 1.46/1.66  ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 1.46/1.66  ;  Retrieved 2 possibly forward subsuming rows in 36 calls.
% 1.46/1.66  ;  Retrieved 0 possibly backward subsumed rows in 34 calls.
% 1.46/1.66  ; Path-index has 4,510 entries (4,515 at peak, 4,515 added, 5 deleted).
% 1.46/1.66  ; Path-index has 4,489 nodes (4,608 at peak, 4,608 added, 119 deleted).
% 1.46/1.66  ; Trie-index has 4,510 entries (4,515 at peak, 4,515 added, 5 deleted).
% 1.46/1.66  ; Trie-index has 49,534 nodes (49,758 at peak, 49,758 added, 224 deleted).
% 1.46/1.66  ; Retrieved 17,383 generalization terms in 3,738 calls.
% 1.46/1.66  ; Retrieved 7,116 instance terms in 1,718 calls.
% 1.46/1.66  ; Retrieved 1,086,607 unifiable terms in 12,962 calls.
% 1.46/1.66  ; 
% 1.46/1.66  ; The agenda of rows to process has 2 entries:
% 1.46/1.66  ;     1 with value 39              1 with value 55
% 1.46/1.66  ; The agenda of rows to give has 1680 entries:
% 1.46/1.66  ;     4 with value (4 25)         28 with value (4 40)         112 with value (4 62)
% 1.46/1.66  ;     1 with value (4 28)         14 with value (4 41)         113 with value (4 63)
% 1.46/1.66  ;     1 with value (4 30)         14 with value (4 48)         120 with value (4 64)
% 1.46/1.66  ;     2 with value (4 31)         18 with value (4 49)         119 with value (4 65)
% 1.46/1.66  ;     2 with value (4 33)         76 with value (4 50)          63 with value (4 66)
% 1.46/1.66  ;     5 with value (4 35)         72 with value (4 51)         161 with value (4 67)
% 1.46/1.66  ;    17 with value (4 36)         42 with value (4 52)         224 with value (4 76)
% 1.46/1.66  ;    18 with value (4 37)         81 with value (4 53)         224 with value (4 77)
% 1.46/1.66  ;    11 with value (4 38)         61 with value (4 54)           1 with value (4 105)
% 1.46/1.66  ;    25 with value (4 39)         51 with value (4 55)
% 1.46/1.66  Evaluation took:
% 1.46/1.66    1.15 seconds of real time
% 1.46/1.66    1.107289 seconds of user run time
% 1.46/1.66    0.042912 seconds of system run time
% 1.46/1.66    [Run times include 0.108 seconds GC run time.]
% 1.46/1.66    0 calls to %EVAL
% 1.46/1.66    0 page faults and
% 1.46/1.66    75,774,800 bytes consed.
% 1.46/1.66  :PROOF-FOUND
% 1.46/1.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:27:59
% 1.46/1.66  :PROOF-FOUND
% 1.46/1.66  * 
%------------------------------------------------------------------------------