TSTP Solution File: SYN572-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN572-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 12:01:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   20 (  15 unt;   0 nHn;  10 RR)
%            Number of literals    :   30 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(p4_3,negated_conjecture,
    p4(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).

cnf(p4_4,negated_conjecture,
    p4(f10(f9(X)),f10(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).

cnf(p2_5,negated_conjecture,
    p2(f3(X,f5(f7(f8(c13)))),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(p4_9,negated_conjecture,
    ( p4(f10(X),f10(Y))
    | ~ p2(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).

cnf(p2_11,negated_conjecture,
    p2(f3(X,f9(X)),f5(f7(f8(c13)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

cnf(p2_12,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

cnf(p12_15,negated_conjecture,
    p12(f10(f3(X,Y)),f11(f10(X),f10(Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_15) ).

cnf(not_p12_16,negated_conjecture,
    ~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_16) ).

cnf(p2_17,negated_conjecture,
    p2(f3(X,f3(Y,Z)),f3(f3(X,Y),Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).

cnf(p12_18,negated_conjecture,
    ( p12(X,Y)
    | ~ p4(Z,X)
    | ~ p4(U,Y)
    | ~ p12(Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_18) ).

cnf(p4_19,negated_conjecture,
    ( p4(f11(X,Y),f11(Z,U))
    | ~ p4(X,Z)
    | ~ p4(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).

cnf(p2_20,negated_conjecture,
    ( p2(f3(X,Y),f3(Z,U))
    | ~ p2(X,Z)
    | ~ p2(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

cnf(26,plain,
    p2(f5(f7(f8(c13))),f3(X,f9(X))),
    inference('HYPERRESOLVE',[status(thm)],[p2_12,p2_11,p2_1]) ).

cnf(34,plain,
    p4(f11(X,f10(f9(Y))),f11(X,f10(Y))),
    inference('HYPERRESOLVE',[status(thm)],[p4_19,p4_3,p4_4]) ).

cnf(121,plain,
    p2(f3(X,f5(f7(f8(c13)))),f3(X,f3(Y,f9(Y)))),
    inference('HYPERRESOLVE',[status(thm)],[p2_20,26,p2_1]) ).

cnf(217,plain,
    ~ p4(f10(f3(f3(c14,c15),f9(c15))),f10(c14)),
    inference('UR-RESOLVE',[status(thm)],[p12_18,34,not_p12_16,p12_15]) ).

cnf(371,plain,
    ~ p2(f3(f3(c14,c15),f9(c15)),c14),
    inference('UR-RESOLVE',[status(thm)],[p4_9,217]) ).

cnf(380,plain,
    ~ p2(f3(c14,f3(c15,f9(c15))),c14),
    inference('UR-RESOLVE',[status(thm)],[p2_12,371,p2_17]) ).

cnf(384,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p2_12,380,p2_5]),121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN572-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n003.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 04:30:45 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T04:30:45
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-12T04:30:45
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  #||
% 0.20/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  % SZS output start Refutation
% See solution above
% 0.20/0.58  ||#
% 0.20/0.58  
% 0.20/0.58  ; Summary of computation:
% 0.20/0.58  ;      1029 formulas have been input or derived (from 53 formulas).
% 0.20/0.58  ;       384 (37%) were retained.  Of these,
% 0.20/0.58  ;          384 (100%) are still being kept.
% 0.20/0.58  ; 
% 0.20/0.58  ; Run time in seconds excluding printing time:
% 0.20/0.58  ;     0.004   4%   Read assertion file          (1 call)
% 0.20/0.58  ;     0.000   0%   Assert                       (20 calls)
% 0.20/0.58  ;     0.031  28%   Process new row              (969 calls)
% 0.20/0.58  ;     0.021  19%   Resolution                   (104 calls)
% 0.20/0.58  ;     0.002   2%   Paramodulation               (52 calls)
% 0.20/0.58  ;     0.000   0%   Condensing                   (11 calls)
% 0.20/0.58  ;     0.000   0%   Forward subsumption          (11 calls)
% 0.20/0.58  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.20/0.58  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.58  ;     0.014  13%   Forward simplification       (969 calls)
% 0.20/0.58  ;     0.007   6%   Backward simplification      (384 calls)
% 0.20/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.58  ;     0.032  29%   Other
% 0.20/0.58  ;     0.111        Total
% 0.20/0.58  ;     0.112        Real time
% 0.20/0.58  ; 
% 0.20/0.58  ; Term-hash-array has 738 terms in all.
% 0.20/0.58  ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.20/0.58  ; Feature-vector-row-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.20/0.58  ;  Retrieved 2 possibly forward subsuming rows in 11 calls.
% 0.20/0.58  ;  Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.20/0.58  ; Path-index has 741 entries (741 at peak, 741 added, 0 deleted).
% 0.20/0.58  ; Path-index has 1,001 nodes (1,001 at peak, 1,001 added, 0 deleted).
% 0.20/0.58  ; Trie-index has 741 entries (741 at peak, 741 added, 0 deleted).
% 0.20/0.58  ; Trie-index has 3,428 nodes (3,428 at peak, 3,428 added, 0 deleted).
% 0.20/0.58  ; Retrieved 1,867 generalization terms in 983 calls.
% 0.20/0.58  ; Retrieved 374 instance terms in 372 calls.
% 0.20/0.58  ; Retrieved 10,525 unifiable terms in 1,057 calls.
% 0.20/0.58  ; 
% 0.20/0.58  ; The agenda of rows to process has 1 entry:
% 0.20/0.58  ;     1 with value 23
% 0.20/0.58  ; The agenda of rows to give has 331 entries:
% 0.20/0.58  ;    17 with value (4 17)         27 with value (4 22)          46 with value (4 26)
% 0.20/0.58  ;    20 with value (4 18)         15 with value (4 23)          20 with value (4 27)
% 0.20/0.58  ;    26 with value (4 19)         15 with value (4 24)          25 with value (4 28)
% 0.20/0.58  ;    23 with value (4 20)         37 with value (4 25)          31 with value (4 29)
% 0.20/0.58  ;    29 with value (4 21)
% 0.20/0.58  Evaluation took:
% 0.20/0.58    0.113 seconds of real time
% 0.20/0.58    0.09879 seconds of user run time
% 0.20/0.58    0.014164 seconds of system run time
% 0.20/0.58    0 calls to %EVAL
% 0.20/0.58    0 page faults and
% 0.20/0.58    7,181,576 bytes consed.
% 0.20/0.58  :PROOF-FOUND
% 0.20/0.58  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T04:30:46
% 0.20/0.58  :PROOF-FOUND
% 0.20/0.58  * 
%------------------------------------------------------------------------------