TSTP Solution File: LAT087-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT087-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 : Sun Jul 17 06:42:13 EDT 2022

% Result   : Unsatisfiable 2.98s 3.15s
% Output   : Refutation 3.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   35 (  35 unt;   0 nHn;   2 RR)
%            Number of literals    :   35 (  34 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   19 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  128 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(prove_normal_axioms_8,negated_conjecture,
    join(a,meet(a,b)) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_8) ).

cnf(3,plain,
    join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))) = join(meet(Y,Z),meet(Z,join(Y,Z))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(9,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)),meet(join(meet(Y,meet(meet(join(X1,join(Y,Y1)),join(Z1,Y)),Y)),meet(U1,join(Y,meet(meet(join(X1,join(Y,Y1)),join(Z1,Y)),Y)))),join(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).

cnf(12,plain,
    join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))),meet(join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))))),Y1),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))),meet(join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))))))))),Y1))) = join(meet(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(Z,join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y))))))),
    inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).

cnf(20,plain,
    join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[9,single_axiom,theory(equality)]) ).

cnf(47,plain,
    join(meet(X,Y),meet(X,join(X,Y))) = X,
    inference('PARAMODULATE',[status(thm)],[20,20,theory(equality)]) ).

cnf(48,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(Y,join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[3,20,theory(equality)]) ).

cnf(51,plain,
    join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(X,join(join(meet(Y,Z),meet(Z,join(Y,Z))),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(Y,Z),meet(Z,join(Y,Z))),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))) = join(meet(Y,Z),meet(Z,join(Y,Z))),
    inference('PARAMODULATE',[status(thm)],[3,20,theory(equality)]) ).

cnf(55,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(join(meet(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))))),join(join(meet(V,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),W)),join(meet(X,Y),meet(Y,join(X,Y))))),meet(Y,join(join(meet(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),join(U,join(meet(X,Y),meet(Y,join(X,Y)))))),join(meet(X,Y),meet(Y,join(X,Y)))))),join(join(meet(V,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),W)),join(meet(X,Y),meet(Y,join(X,Y))))))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = join(meet(X,Y),meet(Y,join(X,Y))),
    inference('PARAMODULATE',[status(thm)],[3,20,theory(equality)]) ).

cnf(67,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)),meet(Y,join(W,join(join(meet(X1,Y),meet(Y,Y1)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[9,47,theory(equality)]) ).

cnf(80,plain,
    join(meet(join(meet(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z),meet(Z,join(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z))),X1),meet(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),join(join(meet(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z),meet(Z,join(join(meet(X,join(join(meet(Y,Z),meet(Z,U)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)),meet(W,join(Z,meet(meet(join(Y,join(Z,U)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,U)),Z)))),Z))),X1))) = Z,
    inference('PARAMODULATE',[status(thm)],[9,47,theory(equality)]) ).

cnf(106,plain,
    X = join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(X,join(Y,join(join(meet(Z,X),meet(X,U)),X)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[48,48,theory(equality)]),47,48,theory(equality)]) ).

cnf(109,plain,
    join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
    inference('REWRITE',[status(thm)],[67,106,theory(equality)]) ).

cnf(110,plain,
    X = join(meet(Y,X),meet(X,join(Y,X))),
    inference('REWRITE',[status(thm)],[55,109,theory(equality)]) ).

cnf(121,plain,
    join(meet(X,Y),meet(join(meet(Z,join(join(meet(U,X),meet(X,V)),X)),meet(join(meet(X,meet(meet(join(U,join(X,V)),join(W,X)),X)),meet(X1,join(X,meet(meet(join(U,join(X,V)),join(W,X)),X)))),join(Z,join(join(meet(U,X),meet(X,V)),X)))),join(X,Y))) = X,
    inference('REWRITE',[status(thm)],[80,110,theory(equality)]) ).

cnf(146,plain,
    join(meet(X,Y),meet(join(meet(Z,join(X,X)),meet(X,join(Z,join(X,X)))),join(X,Y))) = X,
    inference('REWRITE',[status(thm)],[51,110,theory(equality)]) ).

cnf(149,plain,
    X = join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(join(meet(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)),meet(W,join(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)))),join(Y,join(join(meet(Z,X),meet(X,U)),X)))),
    inference('REWRITE',[status(thm)],[12,47,121,110,theory(equality)]) ).

cnf(183,plain,
    join(meet(X,join(Y,Y)),meet(Y,join(X,join(Y,Y)))) = Y,
    inference('PARAMODULATE',[status(thm)],[110,146,theory(equality)]) ).

cnf(383,plain,
    X = join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)))),
    inference('PARAMODULATE',[status(thm)],[47,149,theory(equality)]) ).

cnf(384,plain,
    meet(meet(join(X,join(Y,Z)),join(U,Y)),Y) = Y,
    inference('PARAMODULATE',[status(thm)],[110,383,theory(equality)]) ).

cnf(385,plain,
    X = join(meet(X,X),meet(Y,join(X,X))),
    inference('REWRITE',[status(thm)],[383,384,theory(equality)]) ).

cnf(386,plain,
    join(X,X) = X,
    inference('PARAMODULATE',[status(thm)],[183,385,theory(equality)]) ).

cnf(387,plain,
    X = join(meet(X,X),meet(Y,X)),
    inference('REWRITE',[status(thm)],[385,386,theory(equality)]) ).

cnf(392,plain,
    X = join(join(meet(Y,X),meet(X,Z)),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[106,386,theory(equality)]),387,theory(equality)]) ).

cnf(401,plain,
    X = meet(X,X),
    inference('PARAMODULATE',[status(thm)],[386,387,theory(equality)]) ).

cnf(402,plain,
    X = join(X,meet(Y,X)),
    inference('REWRITE',[status(thm)],[387,401,theory(equality)]) ).

cnf(419,plain,
    X = join(meet(Y,X),X),
    inference('PARAMODULATE',[status(thm)],[392,402,theory(equality)]) ).

cnf(420,plain,
    X = join(join(X,meet(X,Y)),X),
    inference('PARAMODULATE',[status(thm)],[392,401,theory(equality)]) ).

cnf(422,plain,
    meet(meet(X,Y),Y) = meet(X,Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,419,theory(equality)]),386,theory(equality)]) ).

cnf(450,plain,
    meet(join(X,meet(X,Y)),X) = join(X,meet(X,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,420,theory(equality)]),386,theory(equality)]) ).

cnf(459,plain,
    meet(join(X,join(Y,Z)),Y) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[384,386,theory(equality)]),422,theory(equality)]) ).

cnf(482,plain,
    meet(join(X,Y),X) = X,
    inference('PARAMODULATE',[status(thm)],[459,386,theory(equality)]) ).

cnf(483,plain,
    X = join(X,meet(X,Y)),
    inference('REWRITE',[status(thm)],[450,482,theory(equality)]) ).

cnf(484,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_normal_axioms_8,483,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT087-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.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 : Tue Jun 28 20:21:52 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 2022-06-28T20:21:53
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-28T20:21:53
% 2.98/3.15  
% 2.98/3.15  
% 2.98/3.15  #||
% 2.98/3.15  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.98/3.15  % SZS output start Refutation
% See solution above
% 3.04/3.24  ||#
% 3.04/3.24  
% 3.04/3.24  ; Summary of computation:
% 3.04/3.24  ;      1509 formulas have been input or derived (from 48 formulas).
% 3.04/3.24  ;       484 (32%) were retained.  Of these,
% 3.04/3.24  ;          388 (80%) were simplified or subsumed later,
% 3.04/3.24  ;           96 (20%) are still being kept.
% 3.04/3.24  ; 
% 3.04/3.24  ; Run time in seconds excluding printing time:
% 3.04/3.24  ;     0.001   0%   Read assertion file          (1 call)
% 3.04/3.24  ;     0.000   0%   Assert                       (2 calls)
% 3.04/3.24  ;     1.343  50%   Process new row              (1,422 calls)
% 3.04/3.24  ;     0.003   0%   Resolution                   (94 calls)
% 3.04/3.24  ;     0.100   4%   Paramodulation               (47 calls)
% 3.04/3.24  ;     0.278  10%   Forward simplification       (1,186 calls)
% 3.04/3.24  ;     0.766  29%   Backward simplification      (484 calls)
% 3.04/3.24  ;     0.168   6%   Ordering                     (2,555 calls)
% 3.04/3.24  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.04/3.24  ;     0.000   0%   Purity testing               (1 call)
% 3.04/3.24  ;     0.028   1%   Other
% 3.04/3.24  ;     2.687        Total
% 3.04/3.24  ;     2.785        Real time
% 3.04/3.24  ; 
% 3.04/3.24  ; Term-hash-array has 4,096 terms in all.
% 3.04/3.24  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.04/3.24  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.04/3.24  ; Path-index has 328 entries (2,074 at peak, 4,306 added, 3,978 deleted).
% 3.04/3.24  ; Path-index has 197,891 nodes (268,823 at peak, 304,042 added, 106,151 deleted).
% 3.04/3.24  ; Trie-index has 328 entries (2,074 at peak, 4,306 added, 3,978 deleted).
% 3.04/3.24  ; Trie-index has 9,586 nodes (372,297 at peak, 548,625 added, 539,039 deleted).
% 3.04/3.24  ; Retrieved 35,855 generalization terms in 45,904 calls.
% 3.04/3.24  ; Retrieved 5,930 instance terms in 483 calls.
% 3.04/3.24  ; Retrieved 5,545 unifiable terms in 500 calls.
% 3.04/3.24  ; 
% 3.04/3.24  ; The agenda of rows to process has 31 entries:
% 3.04/3.24  ;     1 with value 19              1 with value 31               1 with value 53
% 3.04/3.24  ;     1 with value 20              1 with value 32               2 with value 57
% 3.04/3.24  ;     2 with value 21              1 with value 33               2 with value 59
% 3.04/3.24  ;     2 with value 22              2 with value 35               1 with value 64
% 3.04/3.24  ;     1 with value 23              1 with value 38               2 with value 73
% 3.04/3.24  ;     2 with value 27              3 with value 40               2 with value 78
% 3.04/3.24  ;     1 with value 28              1 with value 48               1 with value 105
% 3.04/3.24  ; The agenda of rows to give has 74 entries:
% 3.04/3.24  ;     2 with value (4 18)          1 with value (4 70)           1 with value (4 146)
% 3.04/3.24  ;     1 with value (4 19)          1 with value (4 77)           1 with value (4 151)
% 3.04/3.24  ;     2 with value (4 22)          4 with value (4 80)           1 with value (4 152)
% 3.04/3.24  ;     1 with value (4 26)          2 with value (4 81)           2 with value (4 154)
% 3.04/3.24  ;     2 with value (4 27)          1 with value (4 84)           1 with value (4 157)
% 3.04/3.24  ;     4 with value (4 29)          1 with value (4 92)           1 with value (4 167)
% 3.04/3.24  ;     1 with value (4 30)          1 with value (4 93)           1 with value (4 193)
% 3.04/3.24  ;     1 with value (4 34)          2 with value (4 95)           2 with value (4 199)
% 3.04/3.24  ;     2 with value (4 37)          1 with value (4 98)           1 with value (4 207)
% 3.04/3.24  ;     1 with value (4 38)          1 with value (4 101)          2 with value (4 213)
% 3.04/3.24  ;     1 with value (4 39)          1 with value (4 106)          1 with value (4 215)
% 3.04/3.24  ;     1 with value (4 43)          1 with value (4 108)          1 with value (4 223)
% 3.04/3.24  ;     1 with value (4 46)          1 with value (4 124)          1 with value (4 225)
% 3.04/3.24  ;     1 with value (4 47)          2 with value (4 126)          1 with value (4 236)
% 3.04/3.24  ;     1 with value (4 48)          1 with value (4 128)          1 with value (4 239)
% 3.04/3.24  ;     2 with value (4 49)          1 with value (4 130)          1 with value (4 259)
% 3.04/3.24  ;     1 with value (4 52)          2 with value (4 132)          1 with value (4 262)
% 3.04/3.24  ;     2 with value (4 57)          1 with value (4 138)          1 with value (4 392)
% 3.04/3.24  ;     1 with value (4 60)
% 3.04/3.24  Evaluation took:
% 3.04/3.24    2.785 seconds of real time
% 3.04/3.24    2.583063 seconds of user run time
% 3.04/3.24    0.201654 seconds of system run time
% 3.04/3.24    [Run times include 0.813 seconds GC run time.]
% 3.04/3.24    0 calls to %EVAL
% 3.04/3.24    0 page faults and
% 3.04/3.24    190,958,336 bytes consed.
% 3.04/3.24  :PROOF-FOUND
% 3.04/3.24  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T20:21:55
% 3.04/3.24  :PROOF-FOUND
% 3.04/3.24  * 
%------------------------------------------------------------------------------