TSTP Solution File: SYN713-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN713-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 12:02:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   19 (  13 unt;   1 nHn;  14 RR)
%            Number of literals    :   30 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  15 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p9_2,negated_conjecture,
    p9(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).

cnf(p40_14,negated_conjecture,
    p40(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_14) ).

cnf(p12_34,negated_conjecture,
    p12(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_34) ).

cnf(p59_35,negated_conjecture,
    p59(f38(c72,c77),f35(c73,c68)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_35) ).

cnf(p56_38,negated_conjecture,
    p56(f11(c65,f14(f17(c66,c67),c68)),c64),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_38) ).

cnf(not_p57_39,negated_conjecture,
    ~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p57_39) ).

cnf(p57_74,negated_conjecture,
    ( p57(f26(f28(c71,X),Y),Z)
    | ~ p57(f26(X,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_74) ).

cnf(p56_76,negated_conjecture,
    ( p56(X,Y)
    | ~ p40(Z,Y)
    | ~ p56(U,Z)
    | ~ p4(U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_76) ).

cnf(not_p58_80,negated_conjecture,
    ~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p58_80) ).

cnf(p10_81,negated_conjecture,
    ( p10(f14(X,Y),f14(Z,U))
    | ~ p12(X,Z)
    | ~ p13(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_81) ).

cnf(p4_87,negated_conjecture,
    ( p4(f11(X,Y),f11(Z,U))
    | ~ p10(Y,U)
    | ~ p9(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_87) ).

cnf(p57_101,negated_conjecture,
    ( p57(f26(f41(c78,X),Y),Z)
    | ~ p56(f11(c65,f14(f17(c66,Y),f23(c74,Z))),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_101) ).

cnf(p13_105,negated_conjecture,
    ( p13(X,f23(c74,Y))
    | p58(f31(f33(c75,c76),f23(c69,Y)),f19(f22(c70,c69),X))
    | ~ p59(f38(c72,Y),f35(c73,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_105) ).

cnf(108,plain,
    ~ p57(f26(f41(c78,c64),c67),c77),
    inference('UR-RESOLVE',[status(thm)],[p57_74,not_p57_39]) ).

cnf(114,plain,
    p13(c68,f23(c74,c77)),
    inference('UR-RESOLVE',[status(thm)],[p13_105,not_p58_80,p59_35]) ).

cnf(120,plain,
    p10(f14(X,c68),f14(X,f23(c74,c77))),
    inference('HYPERRESOLVE',[status(thm)],[p10_81,114,p12_34]) ).

cnf(126,plain,
    ~ p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64),
    inference('UR-RESOLVE',[status(thm)],[p57_101,108]) ).

cnf(141,plain,
    p4(f11(X,f14(Y,c68)),f11(X,f14(Y,f23(c74,c77)))),
    inference('HYPERRESOLVE',[status(thm)],[p4_87,120,p9_2]) ).

cnf(151,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p56_76,126,p40_14,p56_38]),141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN713-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 23:24:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:24:10
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T23:24:10
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  #||
% 0.19/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53  % SZS output start Refutation
% See solution above
% 0.19/0.53  ||#
% 0.19/0.53  
% 0.19/0.53  ; Summary of computation:
% 0.19/0.53  ;       423 formulas have been input or derived (from 123 formulas).
% 0.19/0.53  ;       151 (36%) were retained.  Of these,
% 0.19/0.53  ;          151 (100%) are still being kept.
% 0.19/0.53  ; 
% 0.19/0.53  ; Run time in seconds excluding printing time:
% 0.19/0.53  ;     0.017  23%   Read assertion file          (1 call)
% 0.19/0.53  ;     0.004   5%   Assert                       (105 calls)
% 0.19/0.53  ;     0.012  16%   Process new row              (318 calls)
% 0.19/0.53  ;     0.007  10%   Resolution                   (244 calls)
% 0.19/0.53  ;     0.000   0%   Paramodulation               (122 calls)
% 0.19/0.53  ;     0.001   1%   Condensing                   (65 calls)
% 0.19/0.53  ;     0.000   0%   Forward subsumption          (65 calls)
% 0.19/0.53  ;     0.000   0%   Backward subsumption         (65 calls)
% 0.19/0.53  ;     0.006   8%   Forward simplification       (318 calls)
% 0.19/0.53  ;     0.001   1%   Backward simplification      (151 calls)
% 0.19/0.53  ;     0.000   0%   Ordering                     (2 calls)
% 0.19/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.53  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.53  ;     0.024  33%   Other
% 0.19/0.53  ;     0.073        Total
% 0.19/0.53  ;     0.075        Real time
% 0.19/0.53  ; 
% 0.19/0.53  ; Term-hash-array has 398 terms in all.
% 0.19/0.53  ; Feature-vector-row-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.19/0.53  ; Feature-vector-row-index has 218 nodes (218 at peak, 218 added, 0 deleted).
% 0.19/0.53  ;  Retrieved 45 possibly forward subsuming rows in 65 calls.
% 0.19/0.53  ;  Retrieved 42 possibly backward subsumed rows in 65 calls.
% 0.19/0.53  ; Path-index has 419 entries (419 at peak, 419 added, 0 deleted).
% 0.19/0.53  ; Path-index has 1,176 nodes (1,176 at peak, 1,176 added, 0 deleted).
% 0.19/0.53  ; Trie-index has 419 entries (419 at peak, 419 added, 0 deleted).
% 0.19/0.53  ; Trie-index has 943 nodes (943 at peak, 943 added, 0 deleted).
% 0.19/0.53  ; Retrieved 384 generalization terms in 406 calls.
% 0.19/0.53  ; Retrieved 85 instance terms in 85 calls.
% 0.19/0.53  ; Retrieved 2,220 unifiable terms in 930 calls.
% 0.19/0.53  ; 
% 0.19/0.53  ; The agenda of rows to give has 28 entries:
% 0.19/0.53  ;     2 with value (4 17)          5 with value (4 19)           7 with value (4 21)
% 0.19/0.53  ;     5 with value (4 18)          7 with value (4 20)           2 with value (4 22)
% 0.19/0.53  Evaluation took:
% 0.19/0.53    0.076 seconds of real time
% 0.19/0.53    0.066876 seconds of user run time
% 0.19/0.53    0.008828 seconds of system run time
% 0.19/0.53    0 calls to %EVAL
% 0.19/0.53    0 page faults and
% 0.19/0.53    4,954,512 bytes consed.
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:24:10
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  * 
%------------------------------------------------------------------------------