TSTP Solution File: GRP334-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 11:37:54 EDT 2022

% Result   : Unsatisfiable 18.14s 18.35s
% Output   : Refutation 18.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   86 (  44 unt;  34 nHn;  50 RR)
%            Number of literals    :  153 ( 152 equ;  41 neg)
%            Maximal clause size   :   10 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   73 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
    multiply(identity,X) = X,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X),X) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(associativity,axiom,
    multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(prove_this_1,negated_conjecture,
    multiply(sk_c6,sk_c7) = sk_c5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(prove_this_4,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(prove_this_5,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(prove_this_6,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(prove_this_9,negated_conjecture,
    ( inverse(sk_c1) = sk_c6
    | multiply(sk_c6,sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(prove_this_10,negated_conjecture,
    ( inverse(sk_c1) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(prove_this_11,negated_conjecture,
    ( inverse(sk_c1) = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(prove_this_12,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(prove_this_13,negated_conjecture,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(prove_this_17,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(prove_this_18,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(prove_this_22,negated_conjecture,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | multiply(X,sk_c6) != sk_c7
    | inverse(X) != sk_c6
    | inverse(Y) != sk_c6
    | multiply(Y,sk_c5) != sk_c6
    | inverse(sk_c6) != sk_c5
    | inverse(sk_c7) != sk_c5
    | multiply(sk_c6,Z) != sk_c5
    | multiply(U,sk_c6) != Z
    | inverse(U) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(26,plain,
    ( multiply(X,sk_c6) != sk_c7
    | inverse(X) != sk_c6
    | inverse(Y) != sk_c6
    | multiply(Y,sk_c5) != sk_c6
    | inverse(sk_c6) != sk_c5
    | inverse(sk_c7) != sk_c5
    | multiply(sk_c6,Z) != sk_c5
    | multiply(U,sk_c6) != Z
    | inverse(U) != sk_c6 ),
    inference('REWRITE',[status(thm)],[prove_this_22,prove_this_1,theory(equality)]) ).

cnf(33,plain,
    multiply(sk_c5,X) = multiply(sk_c6,multiply(sk_c7,X)),
    inference('PARAMODULATE',[status(thm)],[associativity,prove_this_1,theory(equality)]) ).

cnf(34,plain,
    multiply(multiply(X,sk_c6),sk_c7) = multiply(X,sk_c5),
    inference('PARAMODULATE',[status(thm)],[associativity,prove_this_1,theory(equality)]) ).

cnf(36,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(37,plain,
    multiply(multiply(X,inverse(Y)),Y) = multiply(X,identity),
    inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]) ).

cnf(73,plain,
    ( inverse(X) != sk_c6
    | multiply(X,sk_c5) != sk_c6
    | inverse(sk_c6) != sk_c5
    | inverse(sk_c7) != sk_c5
    | multiply(Y,sk_c6) != sk_c7
    | inverse(Y) != sk_c6 ),
    inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26,prove_this_1,theory(equality)]),theory(equality)])]) ).

cnf(74,plain,
    sk_c7 = multiply(inverse(sk_c6),sk_c5),
    inference('PARAMODULATE',[status(thm)],[36,prove_this_1,theory(equality)]) ).

cnf(76,plain,
    X = multiply(inverse(inverse(X)),identity),
    inference('PARAMODULATE',[status(thm)],[36,left_inverse,theory(equality)]) ).

cnf(77,plain,
    multiply(X,Y) = multiply(inverse(inverse(X)),Y),
    inference('PARAMODULATE',[status(thm)],[36,36,theory(equality)]) ).

cnf(78,plain,
    X = multiply(X,identity),
    inference('REWRITE',[status(thm)],[76,77,theory(equality)]) ).

cnf(79,plain,
    multiply(multiply(X,inverse(Y)),Y) = X,
    inference('REWRITE',[status(thm)],[37,78,theory(equality)]) ).

cnf(85,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c6 = multiply(inverse(sk_c1),sk_c7) ),
    inference('PARAMODULATE',[status(thm)],[36,prove_this_6,theory(equality)]) ).

cnf(89,plain,
    ( inverse(sk_c1) = sk_c6
    | sk_c6 = multiply(inverse(sk_c3),sk_c4) ),
    inference('PARAMODULATE',[status(thm)],[36,prove_this_10,theory(equality)]) ).

cnf(90,plain,
    multiply(multiply(X,inverse(Y)),multiply(Y,Z)) = multiply(X,Z),
    inference('PARAMODULATE',[status(thm)],[associativity,36,theory(equality)]) ).

cnf(101,plain,
    X = multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(Z,X))),
    inference('PARAMODULATE',[status(thm)],[36,associativity,theory(equality)]) ).

cnf(102,plain,
    inverse(identity) = identity,
    inference('PARAMODULATE',[status(thm)],[left_inverse,78,theory(equality)]) ).

cnf(105,plain,
    multiply(sk_c7,X) = multiply(inverse(sk_c6),multiply(sk_c5,X)),
    inference('PARAMODULATE',[status(thm)],[associativity,74,theory(equality)]) ).

cnf(108,plain,
    multiply(multiply(X,inverse(sk_c6)),sk_c5) = multiply(X,sk_c7),
    inference('PARAMODULATE',[status(thm)],[associativity,74,theory(equality)]) ).

cnf(113,plain,
    multiply(multiply(X,sk_c6),multiply(sk_c7,Y)) = multiply(X,multiply(sk_c5,Y)),
    inference('PARAMODULATE',[status(thm)],[associativity,33,theory(equality)]) ).

cnf(114,plain,
    sk_c7 = multiply(inverse(multiply(X,sk_c6)),multiply(X,sk_c5)),
    inference('PARAMODULATE',[status(thm)],[36,34,theory(equality)]) ).

cnf(122,plain,
    X = inverse(inverse(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).

cnf(132,plain,
    multiply(X,inverse(X)) = identity,
    inference('PARAMODULATE',[status(thm)],[left_inverse,122,theory(equality)]) ).

cnf(135,plain,
    multiply(multiply(X,Y),inverse(Y)) = X,
    inference('PARAMODULATE',[status(thm)],[79,122,theory(equality)]) ).

cnf(136,plain,
    X = multiply(Y,multiply(inverse(Y),X)),
    inference('PARAMODULATE',[status(thm)],[36,122,theory(equality)]) ).

cnf(139,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c7 = inverse(sk_c5) ),
    inference('PARAMODULATE',[status(thm)],[122,prove_this_13,theory(equality)]) ).

cnf(141,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c6 = inverse(sk_c5) ),
    inference('PARAMODULATE',[status(thm)],[122,prove_this_12,theory(equality)]) ).

cnf(143,plain,
    multiply(sk_c5,inverse(sk_c7)) = sk_c6,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,132,theory(equality)]),78,theory(equality)]) ).

cnf(171,plain,
    inverse(sk_c7) = multiply(inverse(sk_c5),sk_c6),
    inference('PARAMODULATE',[status(thm)],[36,143,theory(equality)]) ).

cnf(172,plain,
    multiply(multiply(X,sk_c5),inverse(sk_c7)) = multiply(X,sk_c6),
    inference('PARAMODULATE',[status(thm)],[associativity,143,theory(equality)]) ).

cnf(195,plain,
    multiply(X,Y) = multiply(multiply(X,Z),multiply(inverse(Z),Y)),
    inference('PARAMODULATE',[status(thm)],[associativity,135,theory(equality)]) ).

cnf(237,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c6 = sk_c7 ),
    inference('PARAMODULATE',[status(thm)],[139,141,theory(equality)]) ).

cnf(239,plain,
    ( sk_c6 = sk_c7
    | sk_c2 = inverse(sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[122,237,theory(equality)]) ).

cnf(298,plain,
    ( sk_c6 = sk_c7
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    inference('PARAMODULATE',[status(thm)],[74,239,theory(equality)]) ).

cnf(368,plain,
    sk_c7 = multiply(inverse(multiply(X,multiply(Y,sk_c6))),multiply(multiply(X,Y),sk_c5)),
    inference('PARAMODULATE',[status(thm)],[114,associativity,theory(equality)]) ).

cnf(522,plain,
    ( inverse(sk_c1) = sk_c6
    | sk_c6 = multiply(sk_c6,sk_c4) ),
    inference('PARAMODULATE',[status(thm)],[89,prove_this_11,theory(equality)]) ).

cnf(526,plain,
    ( inverse(sk_c1) = sk_c6
    | sk_c5 = sk_c6 ),
    inference('PARAMODULATE',[status(thm)],[prove_this_9,522,theory(equality)]) ).

cnf(538,plain,
    ( sk_c5 = sk_c6
    | X = multiply(sk_c6,multiply(sk_c1,X)) ),
    inference('PARAMODULATE',[status(thm)],[36,526,theory(equality)]) ).

cnf(541,plain,
    ( sk_c5 = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,526,theory(equality)]),prove_this_1,theory(equality)]) ).

cnf(714,plain,
    ( sk_c5 = sk_c6
    | sk_c3 = inverse(sk_c6) ),
    inference('PARAMODULATE',[status(thm)],[122,541,theory(equality)]) ).

cnf(796,plain,
    ( sk_c5 = sk_c6
    | sk_c7 = multiply(sk_c3,sk_c5) ),
    inference('PARAMODULATE',[status(thm)],[74,714,theory(equality)]) ).

cnf(1287,plain,
    ( sk_c6 = sk_c7
    | inverse(sk_c7) = sk_c5 ),
    inference('PARAMODULATE',[status(thm)],[prove_this_18,298,theory(equality)]) ).

cnf(1288,plain,
    ( sk_c6 = sk_c7
    | inverse(sk_c6) = sk_c5 ),
    inference('PARAMODULATE',[status(thm)],[prove_this_17,298,theory(equality)]) ).

cnf(1362,plain,
    ( sk_c6 = sk_c7
    | sk_c7 = inverse(sk_c5) ),
    inference('PARAMODULATE',[status(thm)],[122,1287,theory(equality)]) ).

cnf(1379,plain,
    ( sk_c6 = sk_c7
    | sk_c6 = inverse(sk_c5) ),
    inference('PARAMODULATE',[status(thm)],[122,1288,theory(equality)]) ).

cnf(1555,plain,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | multiply(X,sk_c7) = multiply(X,sk_c4) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[90,prove_this_4,theory(equality)]),108,theory(equality)]) ).

cnf(1774,plain,
    multiply(inverse(X),Y) = multiply(inverse(multiply(Z,X)),multiply(Z,Y)),
    inference('PARAMODULATE',[status(thm)],[101,136,theory(equality)]) ).

cnf(2948,plain,
    sk_c6 = sk_c7,
    inference('PARAMODULATE',[status(thm)],[1362,1379,theory(equality)]) ).

cnf(2949,plain,
    multiply(sk_c6,sk_c6) = sk_c5,
    inference('REWRITE',[status(thm)],[prove_this_1,2948,theory(equality)]) ).

cnf(2969,plain,
    ( multiply(sk_c1,sk_c6) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c4 ),
    inference('REWRITE',[status(thm)],[prove_this_5,2948,theory(equality)]) ).

cnf(2981,plain,
    ( inverse(X) != sk_c6
    | multiply(X,sk_c5) != sk_c6
    | inverse(sk_c6) != sk_c5
    | multiply(Y,sk_c6) != sk_c6
    | inverse(Y) != sk_c6 ),
    inference('REWRITE',[status(thm)],[73,2948,theory(equality)]) ).

cnf(2989,plain,
    multiply(sk_c6,X) = multiply(inverse(sk_c6),multiply(sk_c5,X)),
    inference('REWRITE',[status(thm)],[105,2948,theory(equality)]) ).

cnf(2991,plain,
    multiply(multiply(X,sk_c6),multiply(sk_c6,Y)) = multiply(X,multiply(sk_c5,Y)),
    inference('REWRITE',[status(thm)],[113,2948,theory(equality)]) ).

cnf(3006,plain,
    inverse(sk_c6) = multiply(inverse(sk_c5),sk_c6),
    inference('REWRITE',[status(thm)],[171,2948,theory(equality)]) ).

cnf(3007,plain,
    multiply(multiply(X,sk_c5),inverse(sk_c6)) = multiply(X,sk_c6),
    inference('REWRITE',[status(thm)],[172,2948,theory(equality)]) ).

cnf(3054,plain,
    sk_c6 = multiply(inverse(multiply(X,multiply(Y,sk_c6))),multiply(multiply(X,Y),sk_c5)),
    inference('REWRITE',[status(thm)],[368,2948,theory(equality)]) ).

cnf(3103,plain,
    ( sk_c5 = sk_c6
    | sk_c6 = multiply(sk_c3,sk_c5) ),
    inference('REWRITE',[status(thm)],[796,2948,theory(equality)]) ).

cnf(3262,plain,
    ( multiply(sk_c1,sk_c6) = sk_c6
    | multiply(X,sk_c6) = multiply(X,sk_c4) ),
    inference('REWRITE',[status(thm)],[1555,2948,theory(equality)]) ).

cnf(8379,plain,
    ( multiply(sk_c1,sk_c6) = sk_c6
    | multiply(sk_c3,sk_c4) = sk_c4 ),
    inference('PARAMODULATE',[status(thm)],[2969,3262,theory(equality)]) ).

cnf(8478,plain,
    ( multiply(sk_c3,sk_c4) = sk_c4
    | sk_c5 = sk_c6 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[538,8379,theory(equality)]),2949,theory(equality)]) ).

cnf(18567,plain,
    ( sk_c5 = sk_c6
    | X = multiply(sk_c3,X) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[195,8478,theory(equality)]),136,theory(equality)]) ).

cnf(18935,plain,
    sk_c5 = sk_c6,
    inference('PARAMODULATE',[status(thm)],[3103,18567,theory(equality)]) ).

cnf(19262,plain,
    ( inverse(sk_c5) != sk_c5
    | multiply(X,sk_c5) != sk_c5
    | inverse(X) != sk_c5 ),
    inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[2981,18935,theory(equality)])]) ).

cnf(19265,plain,
    X = multiply(sk_c5,X),
    inference('REWRITE',[status(thm)],[2989,36,18935,theory(equality)]) ).

cnf(19515,plain,
    multiply(multiply(X,sk_c5),Y) = multiply(X,Y),
    inference('REWRITE',[status(thm)],[2991,19265,18935,theory(equality)]) ).

cnf(19558,plain,
    inverse(sk_c5) = identity,
    inference('REWRITE',[status(thm)],[3006,left_inverse,18935,theory(equality)]) ).

cnf(19563,plain,
    ( identity != sk_c5
    | multiply(X,sk_c5) != sk_c5
    | inverse(X) != sk_c5 ),
    inference('REWRITE',[status(thm)],[19262,19558,theory(equality)]) ).

cnf(19566,plain,
    multiply(X,sk_c5) = X,
    inference('REWRITE',[status(thm)],[3007,78,19515,19558,18935,theory(equality)]) ).

cnf(19640,plain,
    ( identity != sk_c5
    | X != sk_c5
    | inverse(X) != sk_c5 ),
    inference('REWRITE',[status(thm)],[19563,19566,theory(equality)]) ).

cnf(19689,plain,
    identity = sk_c5,
    inference('REWRITE',[status(thm)],[3054,left_inverse,1774,19566,18935,theory(equality)]) ).

cnf(19844,plain,
    ( X != identity
    | inverse(X) != identity ),
    inference('REWRITE',[status(thm)],[19640,19689,theory(equality)]) ).

cnf(20824,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[19844,102,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 18:06:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:06:33
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-13T18:06:33
% 0.19/0.48  
% 0.19/0.48  ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.48  ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 18.14/18.35  ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 18.14/18.35  
% 18.14/18.35  #||
% 18.14/18.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.14/18.35  % SZS output start Refutation
% See solution above
% 18.14/18.35  ||#
% 18.14/18.35  
% 18.14/18.35  ; Summary of computation:
% 18.14/18.35  ;     83012 formulas have been input or derived (from 980 formulas).
% 18.14/18.35  ;     20824 (25%) were retained.  Of these,
% 18.14/18.35  ;        18839 (90%) were simplified or subsumed later,
% 18.14/18.35  ;         1985 (10%) are still being kept.
% 18.14/18.35  ; 
% 18.14/18.35  ; Run time in seconds excluding printing time:
% 18.14/18.35  ;     0.005   0%   Read assertion file          (1 call)
% 18.14/18.35  ;     0.002   0%   Assert                       (25 calls)
% 18.14/18.35  ;     1.562   9%   Process new row              (82,516 calls)
% 18.14/18.35  ;     0.074   0%   Resolution                   (1,958 calls)
% 18.14/18.35  ;     0.804   4%   Paramodulation               (979 calls)
% 18.14/18.35  ;     0.000   0%   Factoring                    (914 calls)
% 18.14/18.35  ;     0.276   2%   Condensing                   (68,977 calls)
% 18.14/18.35  ;     6.672  37%   Forward subsumption          (68,977 calls)
% 18.14/18.35  ;     2.231  12%   Backward subsumption         (20,098 calls)
% 18.14/18.35  ;     1.541   9%   Clause clause subsumption    (540,824 calls)
% 18.14/18.35  ;     2.312  13%   Forward simplification       (81,541 calls)
% 18.14/18.35  ;     0.864   5%   Backward simplification      (20,823 calls)
% 18.14/18.35  ;     1.247   7%   Ordering                     (498,938 calls)
% 18.14/18.35  ;     0.000   0%   Sortal reasoning             (32 calls)
% 18.14/18.35  ;     0.000   0%   Purity testing               (1 call)
% 18.14/18.35  ;     0.291   2%   Other
% 18.14/18.35  ;    17.881        Total
% 18.14/18.35  ;    17.887        Real time
% 18.14/18.35  ; 
% 18.14/18.35  ; Term-hash-array has 8,714 terms in all.
% 18.14/18.35  ; Feature-vector-row-index has 1,630 entries (13,988 at peak, 20,098 added, 18,468 deleted).
% 18.14/18.35  ; Feature-vector-row-index has 3,771 nodes (43,166 at peak, 65,807 added, 62,036 deleted).
% 18.14/18.35  ;  Retrieved 946,326 possibly forward subsuming rows in 68,977 calls.
% 18.14/18.35  ;  Retrieved 151,260 possibly backward subsumed rows in 20,098 calls.
% 18.14/18.35  ; Path-index has 1,962 entries (7,599 at peak, 9,718 added, 7,756 deleted).
% 18.14/18.35  ; Path-index has 1,071 nodes (1,521 at peak, 1,878 added, 807 deleted).
% 18.14/18.35  ; Trie-index has 1,962 entries (7,599 at peak, 9,718 added, 7,756 deleted).
% 18.14/18.35  ; Trie-index has 7,143 nodes (24,976 at peak, 30,444 added, 23,301 deleted).
% 18.14/18.35  ; Retrieved 189,447 generalization terms in 454,208 calls.
% 18.14/18.35  ; Retrieved 5,699 instance terms in 1,732 calls.
% 18.14/18.35  ; Retrieved 54,356 unifiable terms in 5,672 calls.
% 18.14/18.35  ; 
% 18.14/18.35  ; The agenda of rows to process has 41 entries:
% 18.14/18.35  ;     2 with value 8               1 with value 14               2 with value 19
% 18.14/18.35  ;     1 with value 9               2 with value 15               5 with value 20
% 18.14/18.35  ;     1 with value 10              3 with value 16               3 with value 21
% 18.14/18.35  ;     1 with value 11              4 with value 17               2 with value 22
% 18.14/18.35  ;     3 with value 12              5 with value 18               2 with value 24
% 18.14/18.35  ;     4 with value 13
% 18.14/18.35  ; The agenda of rows to give has 1932 entries:
% 18.14/18.35  ;     1 with value (4 12)         25 with value (4 19)         207 with value (4 26)
% 18.14/18.35  ;     1 with value (4 13)         69 with value (4 20)         224 with value (4 27)
% 18.14/18.35  ;     2 with value (4 14)         83 with value (4 21)         108 with value (4 28)
% 18.14/18.35  ;     7 with value (4 15)        119 with value (4 22)         133 with value (4 29)
% 18.14/18.35  ;     9 with value (4 16)        131 with value (4 23)         256 with value (4 30)
% 18.14/18.35  ;    22 with value (4 17)        133 with value (4 24)         130 with value (4 31)
% 18.14/18.35  ;    27 with value (4 18)        239 with value (4 25)           6 with value (4 32)
% 18.14/18.35  Evaluation took:
% 18.14/18.35    17.888 seconds of real time
% 18.14/18.35    16.016031 seconds of user run time
% 18.14/18.35    1.871009 seconds of system run time
% 18.14/18.35    [Run times include 1.906 seconds GC run time.]
% 18.14/18.35    0 calls to %EVAL
% 18.14/18.35    0 page faults and
% 18.14/18.35    1,582,419,120 bytes consed.
% 18.14/18.35  :PROOF-FOUND
% 18.14/18.35  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T18:06:51
% 18.14/18.35  :PROOF-FOUND
% 18.14/18.35  * 
%------------------------------------------------------------------------------