TSTP Solution File: LAT083-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LAT083-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 06:42:12 EDT 2022

% Result   : Unsatisfiable 3.01s 3.19s
% Output   : Refutation 3.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   24 (  24 unt;   0 nHn;   2 RR)
%            Number of literals    :   24 (  23 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    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :  105 (   9 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(prove_normal_axioms_4,negated_conjecture,
    join(a,a) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_4) ).

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(388,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_normal_axioms_4,386,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : LAT083-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.10  % Command  : run-snark %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Wed Jun 29 10:13:13 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.38  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T10:13:13
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-29T10:13:13
% 2.93/3.19  
% 2.93/3.19  
% 3.01/3.19  #||
% 3.01/3.19  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.01/3.19  % SZS output start Refutation
% See solution above
% 3.01/3.22  ||#
% 3.01/3.22  
% 3.01/3.22  ; Summary of computation:
% 3.01/3.22  ;       973 formulas have been input or derived (from 34 formulas).
% 3.01/3.22  ;       388 (40%) were retained.  Of these,
% 3.01/3.22  ;          191 (49%) were simplified or subsumed later,
% 3.01/3.22  ;          197 (51%) are still being kept.
% 3.01/3.22  ; 
% 3.01/3.22  ; Run time in seconds excluding printing time:
% 3.01/3.22  ;     0.001   0%   Read assertion file          (1 call)
% 3.01/3.22  ;     0.000   0%   Assert                       (2 calls)
% 3.01/3.22  ;     1.462  52%   Process new row              (946 calls)
% 3.01/3.22  ;     0.003   0%   Resolution                   (66 calls)
% 3.01/3.22  ;     0.102   4%   Paramodulation               (33 calls)
% 3.01/3.22  ;     0.263   9%   Forward simplification       (753 calls)
% 3.01/3.22  ;     0.787  28%   Backward simplification      (388 calls)
% 3.01/3.22  ;     0.163   6%   Ordering                     (1,726 calls)
% 3.01/3.22  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.01/3.22  ;     0.000   0%   Purity testing               (1 call)
% 3.01/3.22  ;     0.019   1%   Other
% 3.01/3.22  ;     2.800        Total
% 3.01/3.22  ;     2.831        Real time
% 3.01/3.22  ; 
% 3.01/3.22  ; Term-hash-array has 3,726 terms in all.
% 3.01/3.22  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.01/3.22  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.01/3.22  ; Path-index has 876 entries (2,072 at peak, 3,818 added, 2,942 deleted).
% 3.01/3.22  ; Path-index has 201,105 nodes (268,818 at peak, 300,967 added, 99,862 deleted).
% 3.01/3.22  ; Trie-index has 876 entries (2,072 at peak, 3,818 added, 2,942 deleted).
% 3.01/3.22  ; Trie-index has 43,214 nodes (372,290 at peak, 537,676 added, 494,462 deleted).
% 3.01/3.22  ; Retrieved 7,808 generalization terms in 25,450 calls.
% 3.01/3.22  ; Retrieved 2,211 instance terms in 387 calls.
% 3.01/3.22  ; Retrieved 3,481 unifiable terms in 417 calls.
% 3.01/3.22  ; 
% 3.01/3.22  ; The agenda of rows to process has 19 entries:
% 3.01/3.22  ;     1 with value 21              2 with value 51               1 with value 85
% 3.01/3.22  ;     1 with value 26              1 with value 55               2 with value 89
% 3.01/3.22  ;     1 with value 30              1 with value 65               1 with value 93
% 3.01/3.22  ;     1 with value 34              1 with value 77               1 with value 130
% 3.01/3.22  ;     1 with value 40              2 with value 81               1 with value 142
% 3.01/3.22  ;     1 with value 43
% 3.01/3.22  ; The agenda of rows to give has 178 entries:
% 3.01/3.22  ;     1 with value (4 13)          1 with value (4 164)          2 with value (4 279)
% 3.01/3.22  ;     1 with value (4 17)          1 with value (4 176)          1 with value (4 281)
% 3.01/3.22  ;     1 with value (4 24)          2 with value (4 183)          2 with value (4 285)
% 3.01/3.22  ;     1 with value (4 69)          2 with value (4 188)          2 with value (4 287)
% 3.01/3.22  ;     2 with value (4 76)          2 with value (4 191)          2 with value (4 288)
% 3.01/3.22  ;     3 with value (4 80)          1 with value (4 193)          2 with value (4 300)
% 3.01/3.22  ;     1 with value (4 81)          1 with value (4 196)          1 with value (4 309)
% 3.01/3.22  ;     1 with value (4 84)          4 with value (4 199)          2 with value (4 316)
% 3.01/3.22  ;     1 with value (4 85)          1 with value (4 200)          2 with value (4 320)
% 3.01/3.22  ;     4 with value (4 88)          2 with value (4 203)          1 with value (4 325)
% 3.01/3.22  ;     2 with value (4 92)          1 with value (4 204)          1 with value (4 333)
% 3.01/3.22  ;     1 with value (4 94)          2 with value (4 207)          1 with value (4 337)
% 3.01/3.22  ;     2 with value (4 98)          1 with value (4 208)          2 with value (4 340)
% 3.01/3.22  ;     1 with value (4 102)         2 with value (4 215)          2 with value (4 348)
% 3.01/3.22  ;     1 with value (4 111)         2 with value (4 219)          2 with value (4 352)
% 3.01/3.22  ;     3 with value (4 118)         2 with value (4 223)          1 with value (4 353)
% 3.01/3.22  ;     3 with value (4 122)         4 with value (4 227)          1 with value (4 357)
% 3.01/3.22  ;     2 with value (4 126)         1 with value (4 229)          2 with value (4 360)
% 3.01/3.22  ;     4 with value (4 130)         4 with value (4 231)          2 with value (4 380)
% 3.01/3.22  ;     1 with value (4 135)         2 with value (4 235)          2 with value (4 392)
% 3.01/3.22  ;     2 with value (4 138)         2 with value (4 236)          2 with value (4 396)
% 3.01/3.22  ;     6 with value (4 142)         6 with value (4 239)          2 with value (4 420)
% 3.01/3.22  ;     4 with value (4 146)         2 with value (4 243)          2 with value (4 428)
% 3.01/3.22  ;     1 with value (4 148)         4 with value (4 251)          2 with value (4 440)
% 3.01/3.22  ;     2 with value (4 150)         4 with value (4 255)          1 with value (4 441)
% 3.01/3.22  ;     2 with value (4 151)         6 with value (4 259)          1 with value (4 474)
% 3.01/3.22  ;     1 with value (4 152)         2 with value (4 263)          2 with value (4 501)
% 3.01/3.22  ;     2 with value (4 154)         2 with value (4 267)          1 with value (4 546)
% 3.01/3.22  ;     2 with value (4 158)         2 with value (4 271)          2 with value (4 561)
% 3.01/3.22  ;     2 with value (4 162)         2 with value (4 275)
% 3.01/3.22  Evaluation took:
% 3.01/3.22    2.831 seconds of real time
% 3.01/3.22    2.615564 seconds of user run time
% 3.01/3.22    0.215792 seconds of system run time
% 3.01/3.22    [Run times include 0.789 seconds GC run time.]
% 3.01/3.22    0 calls to %EVAL
% 3.01/3.22    0 page faults and
% 3.01/3.22    171,822,248 bytes consed.
% 3.01/3.22  :PROOF-FOUND
% 3.01/3.22  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-29T10:13:16
% 3.01/3.22  :PROOF-FOUND
% 3.01/3.22  * 
%------------------------------------------------------------------------------