TSTP Solution File: GRP267-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP267-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Sat Jul 16 11:37:43 EDT 2022

% Result   : Unsatisfiable 11.27s 11.45s
% Output   : Refutation 11.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   81 (  22 unt;  53 nHn;  50 RR)
%            Number of literals    :  166 ( 165 equ;  38 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
    multiply(identity,X) = X,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X),X) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(associativity,axiom,
    multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(prove_this_1,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c5,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

cnf(prove_this_4,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c5,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(prove_this_5,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

cnf(prove_this_6,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(prove_this_8,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(prove_this_9,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(prove_this_10,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | multiply(sk_c5,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(prove_this_11,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(prove_this_12,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(prove_this_15,negated_conjecture,
    ( multiply(sk_c7,sk_c4) = sk_c6
    | inverse(sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(prove_this_18,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c4
    | inverse(sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(prove_this_19,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c5,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(prove_this_20,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(prove_this_21,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(prove_this_22,negated_conjecture,
    ( multiply(X,sk_c8) != sk_c7
    | inverse(X) != sk_c8
    | multiply(Y,sk_c6) != sk_c7
    | inverse(Y) != sk_c6
    | multiply(sk_c7,Z) != sk_c6
    | multiply(U,sk_c7) != Z
    | inverse(U) != sk_c7
    | multiply(V,sk_c8) != sk_c7
    | inverse(V) != sk_c8
    | inverse(sk_c6) != sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(26,plain,
    ( multiply(X,sk_c6) != sk_c7
    | inverse(X) != sk_c6
    | multiply(sk_c7,Y) != sk_c6
    | multiply(Z,sk_c7) != Y
    | inverse(Z) != sk_c7
    | multiply(U,sk_c8) != sk_c7
    | inverse(U) != sk_c8
    | inverse(sk_c6) != sk_c7 ),
    inference('CONDENSE',[status(thm)],[prove_this_22]) ).

cnf(34,plain,
    X = multiply(inverse(Y),multiply(Y,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).

cnf(35,plain,
    multiply(multiply(X,inverse(Y)),Y) = multiply(X,identity),
    inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]) ).

cnf(40,plain,
    ( inverse(sk_c6) = sk_c7
    | multiply(sk_c4,X) = multiply(sk_c3,multiply(sk_c7,X)) ),
    inference('PARAMODULATE',[status(thm)],[associativity,prove_this_18,theory(equality)]) ).

cnf(47,plain,
    ( inverse(sk_c6) = sk_c7
    | multiply(multiply(X,sk_c7),sk_c4) = multiply(X,sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[associativity,prove_this_15,theory(equality)]) ).

cnf(79,plain,
    ( multiply(X,sk_c6) != sk_c7
    | inverse(X) != sk_c6
    | multiply(sk_c7,Y) != sk_c6
    | multiply(Z,sk_c7) != Y
    | inverse(Z) != sk_c7
    | identity != sk_c7
    | inverse(inverse(sk_c8)) != sk_c8
    | inverse(sk_c6) != sk_c7 ),
    inference('PARAMODULATE',[status(thm)],[26,left_inverse,theory(equality)]) ).

cnf(114,plain,
    X = multiply(inverse(inverse(X)),identity),
    inference('PARAMODULATE',[status(thm)],[34,left_inverse,theory(equality)]) ).

cnf(115,plain,
    multiply(X,Y) = multiply(inverse(inverse(X)),Y),
    inference('PARAMODULATE',[status(thm)],[34,34,theory(equality)]) ).

cnf(116,plain,
    X = multiply(X,identity),
    inference('REWRITE',[status(thm)],[114,115,theory(equality)]) ).

cnf(117,plain,
    multiply(multiply(X,inverse(Y)),Y) = X,
    inference('REWRITE',[status(thm)],[35,116,theory(equality)]) ).

cnf(126,plain,
    ( inverse(sk_c3) = sk_c7
    | sk_c8 = multiply(inverse(sk_c5),sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[34,prove_this_19,theory(equality)]) ).

cnf(127,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c8 = multiply(inverse(sk_c5),sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[34,prove_this_10,theory(equality)]) ).

cnf(128,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = multiply(inverse(sk_c5),sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[34,prove_this_4,theory(equality)]) ).

cnf(129,plain,
    multiply(multiply(X,inverse(Y)),multiply(Y,Z)) = multiply(X,Z),
    inference('PARAMODULATE',[status(thm)],[associativity,34,theory(equality)]) ).

cnf(141,plain,
    inverse(identity) = identity,
    inference('PARAMODULATE',[status(thm)],[left_inverse,116,theory(equality)]) ).

cnf(146,plain,
    X = inverse(inverse(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[117,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).

cnf(147,plain,
    ( multiply(X,sk_c6) != sk_c7
    | inverse(X) != sk_c6
    | multiply(sk_c7,Y) != sk_c6
    | multiply(Z,sk_c7) != Y
    | inverse(Z) != sk_c7
    | identity != sk_c7
    | inverse(sk_c6) != sk_c7 ),
    inference('REWRITE',[status(thm)],[79,146,theory(equality)]) ).

cnf(153,plain,
    ( inverse(sk_c1) = sk_c8
    | multiply(multiply(X,sk_c7),sk_c6) = X ),
    inference('PARAMODULATE',[status(thm)],[117,prove_this_6,theory(equality)]) ).

cnf(160,plain,
    multiply(X,inverse(X)) = identity,
    inference('PARAMODULATE',[status(thm)],[left_inverse,146,theory(equality)]) ).

cnf(161,plain,
    multiply(multiply(X,Y),inverse(Y)) = X,
    inference('PARAMODULATE',[status(thm)],[117,146,theory(equality)]) ).

cnf(162,plain,
    X = multiply(Y,multiply(inverse(Y),X)),
    inference('PARAMODULATE',[status(thm)],[34,146,theory(equality)]) ).

cnf(165,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c6 = inverse(sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[146,prove_this_6,theory(equality)]) ).

cnf(172,plain,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c6,sk_c7) = identity ),
    inference('PARAMODULATE',[status(thm)],[160,prove_this_21,theory(equality)]) ).

cnf(173,plain,
    ( inverse(sk_c2) = sk_c6
    | multiply(sk_c6,sk_c7) = identity ),
    inference('PARAMODULATE',[status(thm)],[160,prove_this_12,theory(equality)]) ).

cnf(182,plain,
    inverse(X) = multiply(inverse(multiply(Y,X)),Y),
    inference('PARAMODULATE',[status(thm)],[34,161,theory(equality)]) ).

cnf(259,plain,
    ( inverse(sk_c3) = sk_c7
    | sk_c8 = multiply(sk_c8,sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[126,prove_this_20,theory(equality)]) ).

cnf(291,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c8 = multiply(sk_c8,sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[127,prove_this_11,theory(equality)]) ).

cnf(297,plain,
    ( inverse(sk_c2) = sk_c6
    | identity = sk_c7 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,291,theory(equality)]),left_inverse,theory(equality)]) ).

cnf(302,plain,
    ( identity = sk_c7
    | multiply(sk_c2,sk_c6) = identity ),
    inference('PARAMODULATE',[status(thm)],[160,297,theory(equality)]) ).

cnf(319,plain,
    ( identity = sk_c7
    | inverse(sk_c5) = sk_c8 ),
    inference('PARAMODULATE',[status(thm)],[prove_this_8,302,theory(equality)]) ).

cnf(339,plain,
    ( identity = sk_c7
    | multiply(sk_c5,sk_c8) = identity ),
    inference('PARAMODULATE',[status(thm)],[160,319,theory(equality)]) ).

cnf(348,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = multiply(sk_c8,sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[128,prove_this_5,theory(equality)]) ).

cnf(373,plain,
    multiply(inverse(X),Y) = inverse(multiply(inverse(Y),X)),
    inference('PARAMODULATE',[status(thm)],[117,182,theory(equality)]) ).

cnf(459,plain,
    ( inverse(sk_c1) = sk_c8
    | X = multiply(X,sk_c7) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[129,348,theory(equality)]),117,theory(equality)]) ).

cnf(460,plain,
    ( inverse(sk_c2) = sk_c6
    | X = multiply(X,sk_c7) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[129,291,theory(equality)]),117,theory(equality)]) ).

cnf(461,plain,
    ( inverse(sk_c3) = sk_c7
    | X = multiply(X,sk_c7) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[129,259,theory(equality)]),117,theory(equality)]) ).

cnf(481,plain,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c7) = identity ),
    inference('PARAMODULATE',[status(thm)],[left_inverse,459,theory(equality)]) ).

cnf(505,plain,
    ( inverse(sk_c2) = sk_c6
    | identity = sk_c6 ),
    inference('PARAMODULATE',[status(thm)],[173,460,theory(equality)]) ).

cnf(516,plain,
    ( identity = sk_c6
    | multiply(multiply(X,sk_c2),sk_c6) = X ),
    inference('PARAMODULATE',[status(thm)],[161,505,theory(equality)]) ).

cnf(531,plain,
    ( inverse(sk_c3) = sk_c7
    | identity = sk_c6 ),
    inference('PARAMODULATE',[status(thm)],[172,461,theory(equality)]) ).

cnf(542,plain,
    ( identity = sk_c6
    | X = multiply(sk_c3,multiply(sk_c7,X)) ),
    inference('PARAMODULATE',[status(thm)],[162,531,theory(equality)]) ).

cnf(559,plain,
    ( inverse(sk_c1) = sk_c8
    | X = multiply(sk_c7,X) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[162,481,theory(equality)]),left_identity,theory(equality)]) ).

cnf(666,plain,
    ( inverse(sk_c1) = sk_c8
    | multiply(X,sk_c6) = X ),
    inference('PARAMODULATE',[status(thm)],[153,459,theory(equality)]) ).

cnf(684,plain,
    ( identity = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    inference('PARAMODULATE',[status(thm)],[prove_this_1,339,theory(equality)]) ).

cnf(1198,plain,
    inverse(sk_c1) = sk_c8,
    inference('HYPERRESOLVE',[status(thm)],[26,559,666,165,459,prove_this_6,prove_this_4,prove_this_5,prove_this_6]) ).

cnf(1240,plain,
    multiply(sk_c1,sk_c8) = identity,
    inference('PARAMODULATE',[status(thm)],[160,1198,theory(equality)]) ).

cnf(1252,plain,
    identity = sk_c7,
    inference('REWRITE',[status(thm)],[684,1240,theory(equality)]) ).

cnf(1255,plain,
    ( multiply(sk_c2,sk_c6) = identity
    | inverse(sk_c6) = identity ),
    inference('REWRITE',[status(thm)],[prove_this_9,1252,theory(equality)]) ).

cnf(1272,plain,
    ( inverse(sk_c6) = identity
    | multiply(sk_c4,X) = multiply(sk_c3,X) ),
    inference('REWRITE',[status(thm)],[40,left_identity,1252,theory(equality)]) ).

cnf(1277,plain,
    ( inverse(sk_c6) = identity
    | multiply(X,sk_c4) = multiply(X,sk_c6) ),
    inference('REWRITE',[status(thm)],[47,116,1252,theory(equality)]) ).

cnf(1316,plain,
    ( multiply(X,sk_c6) != identity
    | inverse(X) != sk_c6
    | inverse(sk_c6) != identity ),
    inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[147,116,left_identity,1252,theory(equality)])]) ).

cnf(1355,plain,
    ( identity = sk_c6
    | X = multiply(sk_c3,X) ),
    inference('REWRITE',[status(thm)],[542,left_identity,1252,theory(equality)]) ).

cnf(1656,plain,
    ( inverse(sk_c6) = identity
    | X = multiply(inverse(sk_c4),multiply(sk_c3,X)) ),
    inference('PARAMODULATE',[status(thm)],[34,1272,theory(equality)]) ).

cnf(1672,plain,
    ( inverse(sk_c6) = identity
    | multiply(sk_c2,sk_c4) = identity ),
    inference('PARAMODULATE',[status(thm)],[1255,1277,theory(equality)]) ).

cnf(1677,plain,
    ( inverse(sk_c6) = identity
    | sk_c4 = inverse(sk_c2) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,1672,theory(equality)]),left_identity,141,373,theory(equality)]) ).

cnf(1681,plain,
    ( sk_c4 = inverse(sk_c2)
    | identity = sk_c6 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[146,1677,theory(equality)]),141,theory(equality)]) ).

cnf(1694,plain,
    ( identity = sk_c6
    | multiply(multiply(X,sk_c4),sk_c2) = X ),
    inference('PARAMODULATE',[status(thm)],[117,1681,theory(equality)]) ).

cnf(3183,plain,
    ( identity = sk_c6
    | multiply(sk_c4,sk_c2) = sk_c3 ),
    inference('PARAMODULATE',[status(thm)],[1694,1355,theory(equality)]) ).

cnf(8100,plain,
    ( identity = sk_c6
    | sk_c4 = multiply(sk_c3,sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[516,3183,theory(equality)]) ).

cnf(8122,plain,
    ( identity = sk_c6
    | inverse(sk_c6) = identity ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1656,8100,theory(equality)]),left_inverse,theory(equality)]) ).

cnf(8147,plain,
    identity = sk_c6,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[146,8122,theory(equality)]),141,theory(equality)]) ).

cnf(8188,plain,
    ( X != identity
    | inverse(X) != identity ),
    inference('REWRITE',[status(thm)],[1316,141,116,8147,theory(equality)]) ).

cnf(9223,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[8188,141,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP267-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 05:15:58 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T05:15:58
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T05:15:58
% 0.20/0.51  
% 0.20/0.51  ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.20/0.51  ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 11.27/11.45  ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 11.27/11.45  
% 11.27/11.45  #||
% 11.27/11.45  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.27/11.45  % SZS output start Refutation
% See solution above
% 11.27/11.46  ||#
% 11.27/11.46  
% 11.27/11.46  ; Summary of computation:
% 11.27/11.46  ;     81931 formulas have been input or derived (from 638 formulas).
% 11.27/11.46  ;      9223 (11%) were retained.  Of these,
% 11.27/11.46  ;         6399 (69%) were simplified or subsumed later,
% 11.27/11.46  ;         2824 (31%) are still being kept.
% 11.27/11.46  ; 
% 11.27/11.46  ; Run time in seconds excluding printing time:
% 11.27/11.46  ;     0.005   0%   Read assertion file          (1 call)
% 11.27/11.46  ;     0.002   0%   Assert                       (25 calls)
% 11.27/11.46  ;     0.849   8%   Process new row              (51,247 calls)
% 11.27/11.46  ;     2.097  19%   Resolution                   (1,274 calls)
% 11.27/11.46  ;     0.473   4%   Paramodulation               (637 calls)
% 11.27/11.46  ;     0.001   0%   Factoring                    (602 calls)
% 11.27/11.46  ;     0.207   2%   Condensing                   (37,665 calls)
% 11.27/11.46  ;     2.921  27%   Forward subsumption          (37,665 calls)
% 11.27/11.46  ;     0.557   5%   Backward subsumption         (8,823 calls)
% 11.27/11.46  ;     0.753   7%   Clause clause subsumption    (228,322 calls)
% 11.27/11.46  ;     1.659  15%   Forward simplification       (47,065 calls)
% 11.27/11.46  ;     0.312   3%   Backward simplification      (9,222 calls)
% 11.27/11.46  ;     0.908   8%   Ordering                     (294,237 calls)
% 11.27/11.46  ;     0.000   0%   Sortal reasoning             (32 calls)
% 11.27/11.46  ;     0.000   0%   Purity testing               (1 call)
% 11.27/11.46  ;     0.213   2%   Other
% 11.27/11.46  ;    10.957        Total
% 11.27/11.46  ;    10.971        Real time
% 11.27/11.46  ; 
% 11.27/11.46  ; Term-hash-array has 6,092 terms in all.
% 11.27/11.46  ; Feature-vector-row-index has 2,452 entries (6,388 at peak, 8,823 added, 6,371 deleted).
% 11.27/11.46  ; Feature-vector-row-index has 4,443 nodes (13,272 at peak, 23,126 added, 18,683 deleted).
% 11.27/11.46  ;  Retrieved 460,028 possibly forward subsuming rows in 37,665 calls.
% 11.27/11.46  ;  Retrieved 58,280 possibly backward subsumed rows in 8,823 calls.
% 11.27/11.46  ; Path-index has 2,966 entries (5,251 at peak, 6,342 added, 3,376 deleted).
% 11.27/11.46  ; Path-index has 1,439 nodes (1,621 at peak, 1,827 added, 388 deleted).
% 11.27/11.46  ; Trie-index has 2,966 entries (5,251 at peak, 6,342 added, 3,376 deleted).
% 11.27/11.46  ; Trie-index has 11,245 nodes (18,523 at peak, 21,106 added, 9,861 deleted).
% 11.27/11.46  ; Retrieved 123,858 generalization terms in 320,038 calls.
% 11.27/11.46  ; Retrieved 4,239 instance terms in 1,016 calls.
% 11.27/11.46  ; Retrieved 1,027,974 unifiable terms in 22,119 calls.
% 11.27/11.46  ; 
% 11.27/11.46  ; The agenda of rows to process has 79 entries:
% 11.27/11.46  ;     2 with value 8               1 with value 14              10 with value 19
% 11.27/11.46  ;     2 with value 9               7 with value 15               6 with value 20
% 11.27/11.46  ;     2 with value 11             10 with value 16               6 with value 21
% 11.27/11.46  ;     3 with value 12             11 with value 17               4 with value 22
% 11.27/11.46  ;     3 with value 13             10 with value 18               2 with value 24
% 11.27/11.46  ; The agenda of rows to give has 2680 entries:
% 11.27/11.46  ;     8 with value (4 14)        102 with value (4 21)         302 with value (4 27)
% 11.27/11.46  ;     2 with value (4 15)        138 with value (4 22)         291 with value (4 28)
% 11.27/11.46  ;     9 with value (4 16)        126 with value (4 23)         446 with value (4 29)
% 11.27/11.46  ;     7 with value (4 17)        199 with value (4 24)         252 with value (4 30)
% 11.27/11.46  ;    19 with value (4 18)        272 with value (4 25)         133 with value (4 31)
% 11.27/11.46  ;    29 with value (4 19)        239 with value (4 26)           2 with value (4 32)
% 11.27/11.46  ;   104 with value (4 20)
% 11.27/11.46  Evaluation took:
% 11.27/11.46    10.972 seconds of real time
% 11.27/11.46    10.067777 seconds of user run time
% 11.27/11.46    0.903688 seconds of system run time
% 11.27/11.46    [Run times include 0.692 seconds GC run time.]
% 11.27/11.46    0 calls to %EVAL
% 11.27/11.46    0 page faults and
% 11.27/11.46    946,490,744 bytes consed.
% 11.27/11.46  :PROOF-FOUND
% 11.27/11.46  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T05:16:09
% 11.27/11.46  :PROOF-FOUND
% 11.27/11.46  * 
%------------------------------------------------------------------------------