TSTP Solution File: GRP108-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP108-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 11:36:11 EDT 2022

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   81 (  76 unt;   0 nHn;   7 RR)
%            Number of literals    :   94 (  93 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  253 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    inverse(double_divide(inverse(double_divide(X,inverse(double_divide(Y,double_divide(X,Z))))),Z)) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(multiply,axiom,
    multiply(X,Y) = inverse(double_divide(Y,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(prove_these_axioms,negated_conjecture,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

cnf(4,plain,
    ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
    | inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
    | inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
    | inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
    inference('REWRITE',[status(thm)],[prove_these_axioms,multiply,theory(equality)]) ).

cnf(5,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),Z)) = inverse(double_divide(U,inverse(double_divide(Y,double_divide(U,double_divide(X,Z)))))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(6,plain,
    inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Y)),Z)),double_divide(X,Z))) = Y,
    inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).

cnf(7,plain,
    inverse(double_divide(X,double_divide(inverse(double_divide(Y,X)),double_divide(Y,Z)))) = Z,
    inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).

cnf(8,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(inverse(double_divide(inverse(double_divide(Z,X)),U)),Y))) = double_divide(Z,U),
    inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).

cnf(12,plain,
    inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),double_divide(Z,double_divide(Y,U)))) = U,
    inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).

cnf(13,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(inverse(double_divide(U,Z)),double_divide(U,X)),
    inference('PARAMODULATE',[status(thm)],[6,7,theory(equality)]) ).

cnf(20,plain,
    inverse(double_divide(double_divide(X,double_divide(inverse(double_divide(inverse(double_divide(Y,X)),Z)),U)),double_divide(U,double_divide(double_divide(Y,Z),V)))) = V,
    inference('PARAMODULATE',[status(thm)],[12,6,theory(equality)]) ).

cnf(24,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(X,inverse(double_divide(Y,Z)))) = Z,
    inference('PARAMODULATE',[status(thm)],[6,13,theory(equality)]) ).

cnf(25,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)) = double_divide(inverse(double_divide(U,Y)),double_divide(U,Z)),
    inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]) ).

cnf(26,plain,
    inverse(double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(X,Z))))) = Y,
    inference('PARAMODULATE',[status(thm)],[7,13,theory(equality)]) ).

cnf(37,plain,
    inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),U)),double_divide(inverse(double_divide(Z,V)),U))) = double_divide(Y,V),
    inference('PARAMODULATE',[status(thm)],[6,13,theory(equality)]) ).

cnf(40,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(U,double_divide(inverse(double_divide(V,inverse(double_divide(U,double_divide(V,Z))))),X)),
    inference('PARAMODULATE',[status(thm)],[13,single_axiom,theory(equality)]) ).

cnf(63,plain,
    inverse(double_divide(inverse(X),double_divide(Y,double_divide(Y,inverse(double_divide(Z,X)))))) = Z,
    inference('PARAMODULATE',[status(thm)],[6,24,theory(equality)]) ).

cnf(70,plain,
    inverse(double_divide(inverse(double_divide(inverse(X),Y)),double_divide(inverse(double_divide(Z,U)),Y))) = double_divide(Z,inverse(double_divide(U,X))),
    inference('PARAMODULATE',[status(thm)],[6,24,theory(equality)]) ).

cnf(75,plain,
    inverse(double_divide(X,double_divide(inverse(double_divide(inverse(double_divide(Y,Z)),X)),U))) = double_divide(Y,inverse(double_divide(Z,U))),
    inference('PARAMODULATE',[status(thm)],[7,24,theory(equality)]) ).

cnf(84,plain,
    inverse(double_divide(double_divide(inverse(double_divide(X,inverse(double_divide(Y,Z)))),double_divide(X,U)),double_divide(U,V))) = double_divide(Y,inverse(double_divide(Z,V))),
    inference('PARAMODULATE',[status(thm)],[12,24,theory(equality)]) ).

cnf(99,plain,
    double_divide(X,double_divide(inverse(double_divide(Y,inverse(double_divide(X,double_divide(Y,Z))))),U)) = double_divide(inverse(double_divide(V,Z)),double_divide(V,U)),
    inference('PARAMODULATE',[status(thm)],[25,single_axiom,theory(equality)]) ).

cnf(120,plain,
    inverse(double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(Y,Z))))) = X,
    inference('PARAMODULATE',[status(thm)],[26,25,theory(equality)]) ).

cnf(134,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),double_divide(X,Z)) = double_divide(U,double_divide(U,inverse(double_divide(Z,Y)))),
    inference('PARAMODULATE',[status(thm)],[24,63,theory(equality)]) ).

cnf(138,plain,
    inverse(double_divide(inverse(X),double_divide(Y,double_divide(Y,Z)))) = inverse(double_divide(U,inverse(double_divide(Z,double_divide(U,X))))),
    inference('PARAMODULATE',[status(thm)],[63,single_axiom,theory(equality)]) ).

cnf(144,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(double_divide(Z,double_divide(Z,inverse(double_divide(U,V)))),Y))) = double_divide(U,double_divide(inverse(V),X)),
    inference('PARAMODULATE',[status(thm)],[13,63,theory(equality)]) ).

cnf(156,plain,
    inverse(double_divide(X,inverse(double_divide(inverse(Y),Y)))) = X,
    inference('PARAMODULATE',[status(thm)],[120,24,theory(equality)]) ).

cnf(164,plain,
    inverse(double_divide(inverse(inverse(double_divide(inverse(X),X))),double_divide(Y,double_divide(Y,Z)))) = Z,
    inference('PARAMODULATE',[status(thm)],[63,156,theory(equality)]) ).

cnf(167,plain,
    double_divide(X,double_divide(X,Y)) = double_divide(Z,double_divide(Z,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,156,theory(equality)]),156,theory(equality)]) ).

cnf(182,plain,
    inverse(double_divide(X,double_divide(X,double_divide(inverse(Y),inverse(double_divide(Z,Y)))))) = Z,
    inference('PARAMODULATE',[status(thm)],[63,167,theory(equality)]) ).

cnf(188,plain,
    double_divide(inverse(double_divide(X,Y)),Z) = double_divide(U,double_divide(U,double_divide(X,inverse(double_divide(Y,Z))))),
    inference('PARAMODULATE',[status(thm)],[167,24,theory(equality)]) ).

cnf(189,plain,
    inverse(double_divide(inverse(double_divide(inverse(X),Y)),X)) = Y,
    inference('REWRITE',[status(thm)],[182,188,theory(equality)]) ).

cnf(196,plain,
    double_divide(inverse(double_divide(X,double_divide(X,Y))),double_divide(Z,U)) = double_divide(inverse(double_divide(V,double_divide(Z,Y))),double_divide(V,U)),
    inference('PARAMODULATE',[status(thm)],[25,167,theory(equality)]) ).

cnf(197,plain,
    inverse(double_divide(inverse(double_divide(inverse(double_divide(X,double_divide(X,Y))),Z)),double_divide(U,Z))) = double_divide(U,Y),
    inference('PARAMODULATE',[status(thm)],[6,167,theory(equality)]) ).

cnf(203,plain,
    inverse(double_divide(inverse(double_divide(X,double_divide(X,Y))),double_divide(Z,double_divide(U,Y)))) = double_divide(inverse(double_divide(V,Z)),double_divide(V,U)),
    inference('PARAMODULATE',[status(thm)],[13,167,theory(equality)]) ).

cnf(209,plain,
    inverse(double_divide(X,double_divide(inverse(Y),X))) = Y,
    inference('PARAMODULATE',[status(thm)],[189,189,theory(equality)]) ).

cnf(211,plain,
    X = inverse(double_divide(inverse(inverse(double_divide(inverse(Y),Y))),X)),
    inference('PARAMODULATE',[status(thm)],[156,189,theory(equality)]) ).

cnf(212,plain,
    double_divide(X,double_divide(X,Y)) = Y,
    inference('REWRITE',[status(thm)],[164,211,theory(equality)]) ).

cnf(226,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(inverse(double_divide(Z,U)),Y))) = double_divide(Z,double_divide(inverse(U),X)),
    inference('REWRITE',[status(thm)],[144,212,theory(equality)]) ).

cnf(228,plain,
    double_divide(inverse(double_divide(X,Y)),double_divide(inverse(Z),Y)) = double_divide(X,Z),
    inference('REWRITE',[status(thm)],[8,226,theory(equality)]) ).

cnf(232,plain,
    inverse(double_divide(X,double_divide(Y,Z))) = double_divide(Y,double_divide(inverse(Z),X)),
    inference('REWRITE',[status(thm)],[226,228,theory(equality)]) ).

cnf(235,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(X,double_divide(U,double_divide(V,inverse(double_divide(U,double_divide(V,Z))))))),
    inference('REWRITE',[status(thm)],[40,232,theory(equality)]) ).

cnf(237,plain,
    inverse(double_divide(X,double_divide(Y,double_divide(Z,inverse(double_divide(Y,double_divide(Z,U))))))) = double_divide(inverse(double_divide(V,U)),double_divide(V,X)),
    inference('REWRITE',[status(thm)],[99,232,theory(equality)]) ).

cnf(240,plain,
    inverse(inverse(double_divide(X,inverse(double_divide(Y,Z))))) = double_divide(Y,inverse(double_divide(Z,X))),
    inference('REWRITE',[status(thm)],[75,212,232,theory(equality)]) ).

cnf(242,plain,
    ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
    | inverse(inverse(inverse(double_divide(inverse(b2),inverse(double_divide(a2,b2)))))) != a2
    | inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
    | inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
    inference('REWRITE',[status(thm)],[4,240,theory(equality)]) ).

cnf(253,plain,
    inverse(double_divide(X,double_divide(Y,inverse(inverse(double_divide(double_divide(Z,U),inverse(double_divide(Z,Y)))))))) = double_divide(inverse(double_divide(V,U)),double_divide(V,X)),
    inference('REWRITE',[status(thm)],[237,240,theory(equality)]) ).

cnf(254,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(X,double_divide(U,inverse(inverse(double_divide(double_divide(V,Z),inverse(double_divide(V,U)))))))),
    inference('REWRITE',[status(thm)],[235,240,theory(equality)]) ).

cnf(271,plain,
    inverse(double_divide(inverse(double_divide(X,inverse(double_divide(Y,double_divide(Z,double_divide(U,Z)))))),double_divide(X,double_divide(double_divide(U,Y),V)))) = V,
    inference('REWRITE',[status(thm)],[20,232,theory(equality)]) ).

cnf(274,plain,
    inverse(inverse(double_divide(double_divide(X,Y),double_divide(Z,double_divide(X,Z))))) = Y,
    inference('REWRITE',[status(thm)],[7,232,theory(equality)]) ).

cnf(275,plain,
    inverse(inverse(X)) = X,
    inference('REWRITE',[status(thm)],[209,212,232,theory(equality)]) ).

cnf(290,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(X,double_divide(U,double_divide(double_divide(V,Z),inverse(double_divide(V,U)))))),
    inference('REWRITE',[status(thm)],[254,275,theory(equality)]) ).

cnf(292,plain,
    inverse(double_divide(X,double_divide(Y,double_divide(double_divide(Z,U),inverse(double_divide(Z,Y)))))) = double_divide(inverse(double_divide(V,U)),double_divide(V,X)),
    inference('REWRITE',[status(thm)],[253,275,theory(equality)]) ).

cnf(306,plain,
    ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
    | inverse(double_divide(inverse(b2),inverse(double_divide(a2,b2)))) != a2
    | inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
    | inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
    inference('REWRITE',[status(thm)],[242,275,theory(equality)]) ).

cnf(309,plain,
    double_divide(double_divide(X,Y),double_divide(Z,double_divide(X,Z))) = Y,
    inference('REWRITE',[status(thm)],[274,275,theory(equality)]) ).

cnf(323,plain,
    inverse(double_divide(inverse(X),double_divide(Y,Z))) = double_divide(Y,inverse(double_divide(Z,X))),
    inference('REWRITE',[status(thm)],[70,228,theory(equality)]) ).

cnf(325,plain,
    inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),double_divide(Z,U))) = double_divide(Y,U),
    inference('REWRITE',[status(thm)],[37,228,theory(equality)]) ).

cnf(327,plain,
    double_divide(inverse(double_divide(X,Y)),Z) = double_divide(X,inverse(double_divide(Y,Z))),
    inference('REWRITE',[status(thm)],[84,325,theory(equality)]) ).

cnf(331,plain,
    inverse(double_divide(inverse(X),inverse(double_divide(Y,X)))) = Y,
    inference('REWRITE',[status(thm)],[189,327,theory(equality)]) ).

cnf(332,plain,
    ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
    | inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
    inference('REWRITE',[status(thm)],[306,331,327,theory(equality)]) ).

cnf(340,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),double_divide(X,Z)) = inverse(double_divide(Z,Y)),
    inference('REWRITE',[status(thm)],[134,212,theory(equality)]) ).

cnf(341,plain,
    double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,double_divide(U,double_divide(X,U)))) = Z,
    inference('REWRITE',[status(thm)],[271,275,340,theory(equality)]) ).

cnf(355,plain,
    double_divide(inverse(X),double_divide(Y,Z)) = double_divide(inverse(double_divide(U,double_divide(Y,X))),double_divide(U,Z)),
    inference('REWRITE',[status(thm)],[196,212,theory(equality)]) ).

cnf(356,plain,
    inverse(double_divide(inverse(double_divide(inverse(X),Y)),double_divide(Z,Y))) = double_divide(Z,X),
    inference('REWRITE',[status(thm)],[197,212,theory(equality)]) ).

cnf(362,plain,
    inverse(double_divide(inverse(X),double_divide(Y,double_divide(Z,X)))) = double_divide(inverse(double_divide(U,Y)),double_divide(U,Z)),
    inference('REWRITE',[status(thm)],[203,212,theory(equality)]) ).

cnf(364,plain,
    inverse(double_divide(inverse(X),Y)) = double_divide(inverse(double_divide(Z,X)),double_divide(Z,Y)),
    inference('REWRITE',[status(thm)],[138,275,323,212,theory(equality)]) ).

cnf(365,plain,
    inverse(double_divide(X,Y)) = inverse(double_divide(Y,X)),
    inference('REWRITE',[status(thm)],[340,275,364,theory(equality)]) ).

cnf(366,plain,
    inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
    inference('REWRITE',[status(thm)],[332,365,theory(equality)]) ).

cnf(368,plain,
    double_divide(inverse(X),double_divide(Y,Z)) = inverse(double_divide(inverse(double_divide(Y,X)),Z)),
    inference('REWRITE',[status(thm)],[355,364,theory(equality)]) ).

cnf(379,plain,
    inverse(double_divide(X,double_divide(Y,double_divide(double_divide(Z,U),inverse(double_divide(Z,Y)))))) = inverse(double_divide(inverse(U),X)),
    inference('REWRITE',[status(thm)],[292,364,theory(equality)]) ).

cnf(380,plain,
    inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = inverse(double_divide(inverse(Z),X)),
    inference('REWRITE',[status(thm)],[290,379,theory(equality)]) ).

cnf(381,plain,
    inverse(double_divide(inverse(X),inverse(Y))) = double_divide(X,Y),
    inference('REWRITE',[status(thm)],[356,380,theory(equality)]) ).

cnf(392,plain,
    double_divide(X,double_divide(Y,X)) = Y,
    inference('REWRITE',[status(thm)],[331,381,theory(equality)]) ).

cnf(394,plain,
    double_divide(double_divide(X,Y),X) = Y,
    inference('REWRITE',[status(thm)],[309,392,theory(equality)]) ).

cnf(395,plain,
    double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,X)) = Z,
    inference('REWRITE',[status(thm)],[341,392,theory(equality)]) ).

cnf(422,plain,
    double_divide(inverse(X),Y) = inverse(double_divide(inverse(Y),X)),
    inference('REWRITE',[status(thm)],[362,275,380,368,364,theory(equality)]) ).

cnf(457,plain,
    double_divide(double_divide(X,Y),inverse(double_divide(X,Z))) = double_divide(inverse(Y),Z),
    inference('PARAMODULATE',[status(thm)],[394,228,theory(equality)]) ).

cnf(495,plain,
    double_divide(double_divide(double_divide(inverse(X),Y),Z),inverse(double_divide(inverse(Y),X))) = Z,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[395,457,theory(equality)]),364,theory(equality)]) ).

cnf(500,plain,
    double_divide(double_divide(double_divide(X,Y),Z),inverse(double_divide(inverse(Y),U))) = double_divide(inverse(Z),inverse(double_divide(X,U))),
    inference('PARAMODULATE',[status(thm)],[457,457,theory(equality)]) ).

cnf(501,plain,
    double_divide(inverse(X),double_divide(inverse(Y),Y)) = X,
    inference('REWRITE',[status(thm)],[495,422,500,theory(equality)]) ).

cnf(507,plain,
    double_divide(X,inverse(X)) = double_divide(inverse(Y),Y),
    inference('PARAMODULATE',[status(thm)],[394,501,theory(equality)]) ).

cnf(516,plain,
    inverse(double_divide(X,inverse(X))) = inverse(double_divide(Y,inverse(Y))),
    inference('PARAMODULATE',[status(thm)],[365,507,theory(equality)]) ).

cnf(517,plain,
    $false,
    inference('REWRITE',[status(thm)],[366,516,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP108-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 10:02:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:02:03
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-13T10:02:03
% 0.60/0.77  
% 0.60/0.77  
% 0.60/0.77  #||
% 0.60/0.77  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.77  % SZS output start Refutation
% See solution above
% 0.60/0.79  ||#
% 0.60/0.79  
% 0.60/0.79  ; Summary of computation:
% 0.60/0.79  ;      1272 formulas have been input or derived (from 34 formulas).
% 0.60/0.79  ;       517 (41%) were retained.  Of these,
% 0.60/0.79  ;          377 (73%) were simplified or subsumed later,
% 0.60/0.79  ;          140 (27%) are still being kept.
% 0.60/0.79  ; 
% 0.60/0.79  ; Run time in seconds excluding printing time:
% 0.60/0.79  ;     0.001   0%   Read assertion file          (1 call)
% 0.60/0.79  ;     0.000   0%   Assert                       (3 calls)
% 0.60/0.79  ;     0.070  24%   Process new row              (1,208 calls)
% 0.60/0.79  ;     0.003   1%   Resolution                   (66 calls)
% 0.60/0.79  ;     0.024   8%   Paramodulation               (33 calls)
% 0.60/0.79  ;     0.000   0%   Condensing                   (4 calls)
% 0.60/0.79  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.60/0.79  ;     0.002   1%   Backward subsumption         (4 calls)
% 0.60/0.79  ;     0.051  17%   Forward simplification       (1,113 calls)
% 0.60/0.79  ;     0.057  19%   Backward simplification      (516 calls)
% 0.60/0.79  ;     0.059  20%   Ordering                     (7,440 calls)
% 0.60/0.79  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.60/0.79  ;     0.001   0%   Purity testing               (1 call)
% 0.60/0.79  ;     0.028   9%   Other
% 0.60/0.79  ;     0.297        Total
% 0.60/0.79  ;     0.314        Real time
% 0.60/0.79  ; 
% 0.60/0.79  ; Term-hash-array has 2,249 terms in all.
% 0.60/0.79  ; Feature-vector-row-index has 0 entries (1 at peak, 4 added, 4 deleted).
% 0.60/0.79  ; Feature-vector-row-index has 1 node (36 at peak, 126 added, 125 deleted).
% 0.60/0.79  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.60/0.79  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.60/0.79  ; Path-index has 530 entries (1,220 at peak, 2,601 added, 2,071 deleted).
% 0.60/0.79  ; Path-index has 3,306 nodes (3,805 at peak, 4,934 added, 1,628 deleted).
% 0.60/0.79  ; Trie-index has 530 entries (1,220 at peak, 2,601 added, 2,071 deleted).
% 0.60/0.79  ; Trie-index has 2,289 nodes (5,134 at peak, 10,783 added, 8,494 deleted).
% 0.60/0.79  ; Retrieved 6,237 generalization terms in 9,439 calls.
% 0.60/0.79  ; Retrieved 5,270 instance terms in 631 calls.
% 0.60/0.79  ; Retrieved 5,767 unifiable terms in 287 calls.
% 0.60/0.79  ; 
% 0.60/0.79  ; The agenda of rows to process has 33 entries:
% 0.60/0.79  ;     4 with value 23             12 with value 26               3 with value 28
% 0.60/0.79  ;    13 with value 25              1 with value 27
% 0.60/0.79  ; The agenda of rows to give has 125 entries:
% 0.60/0.79  ;     3 with value (4 20)         15 with value (4 27)           2 with value (4 34)
% 0.60/0.79  ;     1 with value (4 21)          9 with value (4 28)           6 with value (4 35)
% 0.60/0.79  ;     6 with value (4 22)          7 with value (4 29)           1 with value (4 36)
% 0.60/0.79  ;    12 with value (4 23)          8 with value (4 30)           3 with value (4 37)
% 0.60/0.79  ;     8 with value (4 24)          3 with value (4 31)           2 with value (4 38)
% 0.60/0.79  ;    13 with value (4 25)         11 with value (4 32)           1 with value (4 41)
% 0.60/0.79  ;    12 with value (4 26)          2 with value (4 33)
% 0.60/0.79  Evaluation took:
% 0.60/0.79    0.314 seconds of real time
% 0.60/0.79    0.28398 seconds of user run time
% 0.60/0.79    0.029689 seconds of system run time
% 0.60/0.79    [Run times include 0.017 seconds GC run time.]
% 0.60/0.79    0 calls to %EVAL
% 0.60/0.79    0 page faults and
% 0.60/0.79    28,092,608 bytes consed.
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:02:04
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  * 
%------------------------------------------------------------------------------