TSTP Solution File: SYN632-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN632-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 12:02:11 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   20 (  12 unt;   0 nHn;  16 RR)
%            Number of literals    :   32 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   31 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p3_6,negated_conjecture,
    p3(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).

cnf(p2_7,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(p3_17,negated_conjecture,
    ( p3(X,Y)
    | ~ p3(Z,X)
    | ~ p3(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

cnf(p21_23,negated_conjecture,
    ( p21(X,Y)
    | ~ p3(Z,Y)
    | ~ p4(U,X)
    | ~ p21(U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_23) ).

cnf(p21_24,negated_conjecture,
    p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_24) ).

cnf(p4_31,negated_conjecture,
    ( p4(f5(X,Y),f5(Z,U))
    | ~ p2(X,Z)
    | ~ p3(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_31) ).

cnf(p3_33,negated_conjecture,
    ( p3(X,Y)
    | ~ p21(f5(f7(f10(c24,f12(c25,c26)),Z),X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_33) ).

cnf(p21_34,negated_conjecture,
    ( p21(f5(f7(f10(c24,f12(c25,c26)),X),Y),Z)
    | ~ p3(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_34) ).

cnf(not_p21_35,negated_conjecture,
    ( ~ p21(f5(c22,c23),X)
    | ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X),c27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_35) ).

cnf(p21_36,negated_conjecture,
    ( p21(f5(X,f14(f16(f18(f20(c29,Y),Z),X),U)),U)
    | ~ p21(f5(f7(f10(c24,f12(c28,Y)),X),Z),U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_36) ).

cnf(p21_38,negated_conjecture,
    ( p21(f5(f7(f10(c24,X),Y),Z),f14(f16(f18(f20(c29,X),Z),Y),U))
    | ~ p21(f5(f7(f10(c24,f12(c28,X)),Y),Z),U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).

cnf(39,plain,
    p21(f5(f7(f10(c24,f12(c25,c26)),X),Y),Y),
    inference('HYPERRESOLVE',[status(thm)],[p21_34,p3_6]) ).

cnf(40,plain,
    p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27),
    inference('HYPERRESOLVE',[status(thm)],[p21_36,p21_24]) ).

cnf(41,plain,
    p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
    inference('HYPERRESOLVE',[status(thm)],[p21_38,p21_24]) ).

cnf(42,plain,
    ~ p21(f5(c22,c23),c27),
    inference('UR-RESOLVE',[status(thm)],[not_p21_35,39]) ).

cnf(48,plain,
    ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(c22,c23)),
    inference('UR-RESOLVE',[status(thm)],[p21_23,40,42,p3_6]) ).

cnf(58,plain,
    ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
    inference('UR-RESOLVE',[status(thm)],[p4_31,48,p2_7]) ).

cnf(60,plain,
    ~ p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
    inference('UR-RESOLVE',[status(thm)],[p3_17,58,p3_6]) ).

cnf(62,plain,
    ~ p21(f5(f7(f10(c24,f12(c25,c26)),X),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
    inference('UR-RESOLVE',[status(thm)],[p3_33,60]) ).

cnf(63,plain,
    $false,
    inference('REWRITE',[status(thm)],[41,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN632-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n009.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 : Tue Jul 12 04:31:22 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:31:22
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-12T04:31:22
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       138 formulas have been input or derived (from 52 formulas).
% 0.20/0.53  ;        63 (46%) were retained.  Of these,
% 0.20/0.53  ;            1 ( 2%) were simplified or subsumed later,
% 0.20/0.53  ;           62 (98%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.007  15%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.002   4%   Assert                       (38 calls)
% 0.20/0.53  ;     0.006  12%   Process new row              (107 calls)
% 0.20/0.53  ;     0.003   6%   Resolution                   (102 calls)
% 0.20/0.53  ;     0.002   4%   Paramodulation               (51 calls)
% 0.20/0.53  ;     0.000   0%   Condensing                   (26 calls)
% 0.20/0.53  ;     0.002   4%   Forward subsumption          (26 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (26 calls)
% 0.20/0.53  ;     0.001   2%   Forward simplification       (107 calls)
% 0.20/0.53  ;     0.001   2%   Backward simplification      (63 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.024  50%   Other
% 0.20/0.53  ;     0.048        Total
% 0.20/0.53  ;     0.052        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 179 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 176 nodes (176 at peak, 176 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 2 possibly forward subsuming rows in 26 calls.
% 0.20/0.53  ;  Retrieved 1 possibly backward subsumed row in 26 calls.
% 0.20/0.53  ; Path-index has 185 entries (187 at peak, 187 added, 2 deleted).
% 0.20/0.53  ; Path-index has 776 nodes (776 at peak, 776 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 185 entries (187 at peak, 187 added, 2 deleted).
% 0.20/0.53  ; Trie-index has 662 nodes (675 at peak, 675 added, 13 deleted).
% 0.20/0.53  ; Retrieved 121 generalization terms in 140 calls.
% 0.20/0.53  ; Retrieved 40 instance terms in 36 calls.
% 0.20/0.53  ; Retrieved 949 unifiable terms in 469 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to give has 10 entries:
% 0.20/0.53  ;     1 with value (4 28)          1 with value (4 32)           2 with value (4 37)
% 0.20/0.53  ;     2 with value (4 30)          2 with value (4 33)           1 with value (4 42)
% 0.20/0.53  ;     1 with value (4 31)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.052 seconds of real time
% 0.20/0.53    0.04391 seconds of user run time
% 0.20/0.53    0.00791 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    4,073,888 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:31:22
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------