TSTP Solution File: SYN576-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN576-1 : 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 12:01:48 EDT 2022

% Result   : Unsatisfiable 0.48s 0.70s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   17 (  12 unt;   1 nHn;  10 RR)
%            Number of literals    :   29 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p8_1,negated_conjecture,
    p8(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_1) ).

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

cnf(p5_4,negated_conjecture,
    p5(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).

cnf(p12_5,negated_conjecture,
    p12(c15,f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_5) ).

cnf(p12_6,negated_conjecture,
    p12(c16,f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_6) ).

cnf(p11_7,negated_conjecture,
    ( p11(X,Y)
    | p11(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).

cnf(p2_8,negated_conjecture,
    p2(f3(X,Y),f3(Y,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(p12_16,negated_conjecture,
    ( p12(X,Y)
    | ~ p2(Z,X)
    | ~ p5(U,Y)
    | ~ p12(Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).

cnf(not_p12_17,negated_conjecture,
    ~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_17) ).

cnf(p2_19,negated_conjecture,
    ( p2(f7(X,Y),f7(Z,U))
    | ~ p2(X,Z)
    | ~ p2(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).

cnf(p2_20,negated_conjecture,
    ( p2(f9(X,Y,Z),f9(U,V,W))
    | ~ p4(X,U)
    | ~ p8(Y,V)
    | ~ p2(Z,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).

cnf(p12_22,negated_conjecture,
    ( p12(f7(f9(X,c14,f3(Y,Z)),f3(Y,Z)),f6(X))
    | ~ p12(Z,f6(X))
    | ~ p12(Y,f6(X))
    | ~ p11(f10(Y),f10(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_22) ).

cnf(36,plain,
    p2(f9(X,Y,f3(Z,U)),f9(X,Y,f3(U,Z))),
    inference('HYPERRESOLVE',[status(thm)],[p2_20,p4_3,p8_1,p2_8]) ).

cnf(41,plain,
    ~ p11(f10(c15),f10(c16)),
    inference('UR-RESOLVE',[status(thm)],[p12_22,not_p12_17,p12_6,p12_5]) ).

cnf(45,plain,
    p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p12_22,p12_5,p12_6,p11_7]),41]) ).

cnf(332,plain,
    p2(f7(f9(X,Y,f3(Z,U)),f3(V,W)),f7(f9(X,Y,f3(U,Z)),f3(W,V))),
    inference('HYPERRESOLVE',[status(thm)],[p2_19,36,p2_8]) ).

cnf(482,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p12_16,45,not_p12_17,p5_4]),332]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN576-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 12:38:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T12:38:42
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T12:38:42
% 0.48/0.70  
% 0.48/0.70  
% 0.48/0.70  #||
% 0.48/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.70  % SZS output start Refutation
% See solution above
% 0.48/0.70  ||#
% 0.48/0.70  
% 0.48/0.70  ; Summary of computation:
% 0.48/0.70  ;      2063 formulas have been input or derived (from 56 formulas).
% 0.48/0.70  ;       482 (23%) were retained.  Of these,
% 0.48/0.70  ;            2 ( 0%) were simplified or subsumed later,
% 0.48/0.70  ;          480 (100%) are still being kept.
% 0.48/0.70  ; 
% 0.48/0.70  ; Run time in seconds excluding printing time:
% 0.48/0.70  ;     0.004   2%   Read assertion file          (1 call)
% 0.48/0.70  ;     0.001   0%   Assert                       (22 calls)
% 0.48/0.70  ;     0.068  30%   Process new row              (1,671 calls)
% 0.48/0.70  ;     0.037  16%   Resolution                   (110 calls)
% 0.48/0.70  ;     0.004   2%   Paramodulation               (55 calls)
% 0.48/0.70  ;     0.000   0%   Factoring                    (2 calls)
% 0.48/0.70  ;     0.007   3%   Condensing                   (386 calls)
% 0.48/0.70  ;     0.032  14%   Forward subsumption          (386 calls)
% 0.48/0.70  ;     0.009   4%   Backward subsumption         (161 calls)
% 0.48/0.70  ;     0.013   6%   Clause clause subsumption    (1,655 calls)
% 0.48/0.70  ;     0.016   7%   Forward simplification       (1,671 calls)
% 0.48/0.70  ;     0.005   2%   Backward simplification      (482 calls)
% 0.48/0.70  ;     0.003   1%   Ordering                     (930 calls)
% 0.48/0.70  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.70  ;     0.001   0%   Purity testing               (1 call)
% 0.48/0.70  ;     0.027  12%   Other
% 0.48/0.70  ;     0.227        Total
% 0.48/0.70  ;     0.229        Real time
% 0.48/0.70  ; 
% 0.48/0.70  ; Term-hash-array has 1,323 terms in all.
% 0.48/0.70  ; Feature-vector-row-index has 159 entries (159 at peak, 161 added, 2 deleted).
% 0.48/0.70  ; Feature-vector-row-index has 1,348 nodes (1,348 at peak, 1,389 added, 41 deleted).
% 0.48/0.70  ;  Retrieved 3,804 possibly forward subsuming rows in 386 calls.
% 0.48/0.70  ;  Retrieved 182 possibly backward subsumed rows in 161 calls.
% 0.48/0.70  ; Path-index has 1,325 entries (1,325 at peak, 1,331 added, 6 deleted).
% 0.48/0.70  ; Path-index has 1,652 nodes (1,652 at peak, 1,652 added, 0 deleted).
% 0.48/0.70  ; Trie-index has 1,325 entries (1,325 at peak, 1,331 added, 6 deleted).
% 0.48/0.70  ; Trie-index has 7,318 nodes (7,318 at peak, 7,330 added, 12 deleted).
% 0.48/0.70  ; Retrieved 3,966 generalization terms in 2,063 calls.
% 0.48/0.70  ; Retrieved 340 instance terms in 320 calls.
% 0.48/0.70  ; Retrieved 24,259 unifiable terms in 1,527 calls.
% 0.48/0.70  ; 
% 0.48/0.70  ; The agenda of rows to process has 30 entries:
% 0.48/0.70  ;     1 with value 47              4 with value 59               4 with value 75
% 0.48/0.70  ;     2 with value 48              3 with value 69               6 with value 80
% 0.48/0.70  ;     2 with value 57              3 with value 71               4 with value 86
% 0.48/0.70  ;     1 with value 58
% 0.48/0.70  ; The agenda of rows to give has 424 entries:
% 0.48/0.70  ;     6 with value (4 18)         59 with value (4 30)          12 with value (4 53)
% 0.48/0.70  ;    13 with value (4 19)         46 with value (4 31)           4 with value (4 57)
% 0.48/0.70  ;     6 with value (4 20)         14 with value (4 32)           2 with value (4 58)
% 0.48/0.70  ;    20 with value (4 21)         13 with value (4 33)           8 with value (4 59)
% 0.48/0.70  ;    14 with value (4 22)          1 with value (4 34)           6 with value (4 65)
% 0.48/0.70  ;    16 with value (4 23)          1 with value (4 35)           6 with value (4 69)
% 0.48/0.70  ;     4 with value (4 24)          3 with value (4 41)           6 with value (4 71)
% 0.48/0.70  ;    24 with value (4 25)          6 with value (4 44)           6 with value (4 74)
% 0.48/0.70  ;    15 with value (4 26)          2 with value (4 47)           2 with value (4 75)
% 0.48/0.70  ;    26 with value (4 27)          4 with value (4 48)          12 with value (4 80)
% 0.48/0.70  ;    15 with value (4 28)          3 with value (4 50)           2 with value (4 86)
% 0.48/0.70  ;    41 with value (4 29)          6 with value (4 51)
% 0.48/0.70  Evaluation took:
% 0.48/0.70    0.23 seconds of real time
% 0.48/0.70    0.208316 seconds of user run time
% 0.48/0.70    0.020946 seconds of system run time
% 0.48/0.70    [Run times include 0.009 seconds GC run time.]
% 0.48/0.70    0 calls to %EVAL
% 0.48/0.70    0 page faults and
% 0.48/0.70    17,250,240 bytes consed.
% 0.48/0.70  :PROOF-FOUND
% 0.48/0.70  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:38:42
% 0.48/0.70  :PROOF-FOUND
% 0.48/0.70  * 
%------------------------------------------------------------------------------