TSTP Solution File: SWW174+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW174+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 : Thu Jul 21 01:24:38 EDT 2022

% Result   : Theorem 14.02s 14.19s
% Output   : Refutation 14.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   42 (  30 unt;   0 nHn;  26 RR)
%            Number of literals    :   57 (  40 equ;  20 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   4 con; 0-3 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X,Y)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__power) ).

cnf(10,axiom,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__abs) ).

cnf(11,axiom,
    c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,X)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__abs2) ).

cnf(18,axiom,
    c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,Y)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(X),c_NthRoot_Osqrt(Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__mult) ).

cnf(31,axiom,
    ( c_NthRoot_Osqrt(X) != c_NthRoot_Osqrt(Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__eq__iff) ).

cnf(33,axiom,
    ( ~ class_Groups_Omonoid__mult(X)
    | c_Power_Opower__class_Opower(X,Y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(X,Y,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power2__eq__square) ).

cnf(62,axiom,
    ( ~ class_Int_Onumber__ring(X)
    | c_Groups_Oplus__class_Oplus(X,c_Int_Onumber__class_Onumber__of(X,Y),c_Int_Onumber__class_Onumber__of(X,Z)) = c_Int_Onumber__class_Onumber__of(X,c_Groups_Oplus__class_Oplus(tc_Int_Oint,Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__number__of__eq) ).

cnf(73,axiom,
    c_Int_OBit0(X) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit0__def) ).

cnf(74,axiom,
    c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X),c_Int_OBit0(Y)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Bit0__Bit0) ).

cnf(143,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id) ).

cnf(418,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__two__ge__zero) ).

cnf(433,axiom,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,X,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != Y
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X)
    | c_NthRoot_Osqrt(Y) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__unique) ).

cnf(434,axiom,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X)
    | c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(X),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__pow2) ).

cnf(435,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X)
    | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X) = X ),
    inference('REWRITE',[status(thm)],[434,10,2,theory(equality)]) ).

cnf(1076,axiom,
    ( ~ class_Rings_Ocomm__semiring__1(X)
    | c_Groups_Oplus__class_Oplus(X,Y,Y) = c_Groups_Otimes__class_Otimes(X,c_Groups_Oplus__class_Oplus(X,c_Groups_Oone__class_Oone(X),c_Groups_Oone__class_Oone(X)),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).

cnf(1130,axiom,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_numeral__2__eq__2) ).

cnf(1135,axiom,
    ( ~ class_Int_Onumber__ring(X)
    | c_Groups_Oplus__class_Oplus(X,c_Groups_Oone__class_Oone(X),c_Groups_Oone__class_Oone(X)) = c_Int_Onumber__class_Onumber__of(X,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__add__one__is__two) ).

cnf(1178,axiom,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_One__nat__def) ).

cnf(1191,axiom,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__is__num__one) ).

cnf(1192,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_OBit1(c_Int_OPls),
    inference('REWRITE',[status(thm)],[1191,143,theory(equality)]) ).

cnf(1331,axiom,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).

cnf(1340,axiom,
    class_Groups_Omonoid__mult(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__mult) ).

cnf(1349,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).

cnf(1395,negated_conjecture,
    c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

cnf(1396,plain,
    c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))) != c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference('REWRITE',[status(thm)],[1395,1192,theory(equality)]) ).

cnf(1410,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference('REWRITE',[status(thm)],[418,1192,theory(equality)]) ).

cnf(1425,plain,
    ( ~ class_Int_Onumber__ring(X)
    | c_Groups_Oplus__class_Oplus(X,c_Groups_Oone__class_Oone(X),c_Groups_Oone__class_Oone(X)) = c_Int_Onumber__class_Onumber__of(X,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
    inference('REWRITE',[status(thm)],[1135,1192,theory(equality)]) ).

cnf(1458,plain,
    c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference('REWRITE',[status(thm)],[1130,1192,1178,theory(equality)]) ).

cnf(1459,plain,
    c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))) != c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference('REWRITE',[status(thm)],[1396,1458,theory(equality)]) ).

cnf(1467,plain,
    c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,X,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X),
    inference('REWRITE',[status(thm)],[10,1178,1130,theory(equality)]) ).

cnf(1468,plain,
    c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))) != c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference('REWRITE',[status(thm)],[1459,1467,theory(equality)]) ).

cnf(1471,plain,
    ( ~ class_Groups_Omonoid__mult(X)
    | c_Power_Opower__class_Opower(X,Y,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(X,Y,Y) ),
    inference('REWRITE',[status(thm)],[33,1178,1130,theory(equality)]) ).

cnf(1488,plain,
    ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,X,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) != Y
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X)
    | c_NthRoot_Osqrt(Y) = X ),
    inference('REWRITE',[status(thm)],[433,1178,1130,theory(equality)]) ).

cnf(2144,plain,
    c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_NthRoot_Osqrt(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,18,theory(equality)]),11,theory(equality)]) ).

cnf(2302,plain,
    c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[435,1410]),2144,theory(equality)]) ).

cnf(4830,plain,
    c_Power_Opower__class_Opower(tc_RealDef_Oreal,X,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,X),
    inference('HYPERRESOLVE',[status(thm)],[1471,1340]) ).

cnf(4837,plain,
    ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,X) != Y
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X)
    | c_NthRoot_Osqrt(Y) = X ),
    inference('REWRITE',[status(thm)],[1488,4830,theory(equality)]) ).

cnf(4970,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),
    inference('HYPERRESOLVE',[status(thm)],[1425,1349]) ).

cnf(5348,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,Y)) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[62,1349]) ).

cnf(5763,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,X) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))),X),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1076,1331]),4970,theory(equality)]) ).

cnf(5779,plain,
    c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))) != c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,1468]),2302,theory(equality)]) ).

cnf(5872,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4837,18,1410]),5779,73,74,5348,5763,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : SWW174+1 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun  6 07:29:01 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T07:29:01
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-06T07:29:01
% 0.54/0.73  
% 0.54/0.74  ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 0.54/0.74  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.54/0.75  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.54/0.76  WARNING:
% 0.54/0.76     |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.76  WARNING:
% 0.54/0.76     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 14.02/14.19  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 14.02/14.19  
% 14.02/14.19  #||
% 14.02/14.19  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.02/14.19  % SZS output start Refutation
% See solution above
% 14.02/14.19  ||#
% 14.02/14.19  
% 14.02/14.19  ; Summary of computation:
% 14.02/14.19  ;    179833 formulas have been input or derived (from 831 formulas).
% 14.02/14.19  ;      5872 ( 3%) were retained.  Of these,
% 14.02/14.19  ;          553 ( 9%) were simplified or subsumed later,
% 14.02/14.19  ;         5319 (91%) are still being kept.
% 14.02/14.19  ; 
% 14.02/14.19  ; Run time in seconds excluding printing time:
% 14.02/14.19  ;     0.231   2%   Read assertion file          (1 call)
% 14.02/14.19  ;     0.029   0%   Assert                       (1,200 calls)
% 14.02/14.19  ;     0.822   6%   Process new row              (171,672 calls)
% 14.02/14.19  ;     2.845  21%   Resolution                   (1,660 calls)
% 14.02/14.19  ;     0.045   0%   Paramodulation               (830 calls)
% 14.02/14.19  ;     0.001   0%   Factoring                    (14 calls)
% 14.02/14.19  ;     0.125   1%   Condensing                   (14,996 calls)
% 14.02/14.19  ;     0.458   3%   Forward subsumption          (14,996 calls)
% 14.02/14.19  ;     0.097   1%   Backward subsumption         (2,745 calls)
% 14.02/14.19  ;     0.345   3%   Clause clause subsumption    (32,626 calls)
% 14.02/14.19  ;     4.520  33%   Forward simplification       (171,630 calls)
% 14.02/14.19  ;     0.105   1%   Backward simplification      (5,825 calls)
% 14.02/14.19  ;     3.604  26%   Ordering                     (267,231 calls)
% 14.02/14.19  ;     0.000   0%   Sortal reasoning             (32 calls)
% 14.02/14.19  ;     0.003   0%   Purity testing               (1 call)
% 14.02/14.19  ;     0.476   3%   Other
% 14.02/14.19  ;    13.706        Total
% 14.02/14.19  ;    13.710        Real time
% 14.02/14.19  ; 
% 14.02/14.19  ; Term-hash-array has 10,770 terms in all.
% 14.02/14.19  ; Feature-vector-row-index has 2,476 entries (2,476 at peak, 2,745 added, 269 deleted).
% 14.02/14.19  ; Feature-vector-row-index has 9,379 nodes (9,379 at peak, 11,572 added, 2,193 deleted).
% 14.02/14.19  ;  Retrieved 61,852 possibly forward subsuming rows in 14,996 calls.
% 14.02/14.19  ;  Retrieved 4,427 possibly backward subsumed rows in 2,745 calls.
% 14.02/14.19  ; Path-index has 9,862 entries (9,862 at peak, 11,030 added, 1,168 deleted).
% 14.02/14.19  ; Path-index has 33,049 nodes (33,049 at peak, 38,827 added, 5,778 deleted).
% 14.02/14.19  ; Trie-index has 9,862 entries (9,862 at peak, 11,030 added, 1,168 deleted).
% 14.02/14.19  ; Trie-index has 56,124 nodes (56,124 at peak, 71,528 added, 15,404 deleted).
% 14.02/14.19  ; Retrieved 842,141 generalization terms in 1,527,878 calls.
% 14.02/14.19  ; Retrieved 9,278 instance terms in 4,358 calls.
% 14.02/14.19  ; Retrieved 3,438,824 unifiable terms in 56,812 calls.
% 14.02/14.19  ; 
% 14.02/14.19  ; The agenda of rows to process has 110 entries:
% 14.02/14.19  ;    11 with value 29             40 with value 34              10 with value 37
% 14.02/14.19  ;     1 with value 30             16 with value 35               5 with value 38
% 14.02/14.19  ;     6 with value 32              6 with value 36               1 with value 42
% 14.02/14.19  ;    14 with value 33
% 14.02/14.19  ; The agenda of input rows to give has 492 entries:
% 14.02/14.19  ;     1 with value 21             14 with value 33               2 with value 46
% 14.02/14.19  ;    41 with value 22             11 with value 34               4 with value 47
% 14.02/14.19  ;    25 with value 23             27 with value 35               1 with value 49
% 14.02/14.19  ;    65 with value 24              1 with value 36               2 with value 51
% 14.02/14.19  ;    24 with value 25             17 with value 37               2 with value 52
% 14.02/14.19  ;    15 with value 26              4 with value 38               2 with value 56
% 14.02/14.19  ;   119 with value 27             20 with value 39               1 with value 57
% 14.02/14.19  ;    37 with value 28              1 with value 41               1 with value 64
% 14.02/14.19  ;     5 with value 29              2 with value 42               1 with value 67
% 14.02/14.19  ;     9 with value 30              2 with value 43               1 with value 101
% 14.02/14.19  ;    13 with value 31              9 with value 44               1 with value 132
% 14.02/14.19  ;    10 with value 32              1 with value 45               1 with value 169
% 14.02/14.19  ; The agenda of rows to give has 4012 entries:
% 14.02/14.19  ;     4 with value (4 6)         354 with value (4 26)           2 with value (4 48)
% 14.02/14.19  ;    13 with value (4 7)         164 with value (4 27)           1 with value (4 49)
% 14.02/14.19  ;    12 with value (4 8)         113 with value (4 28)          11 with value (4 50)
% 14.02/14.19  ;    32 with value (4 9)          78 with value (4 29)           1 with value (4 51)
% 14.02/14.19  ;    46 with value (4 10)        178 with value (4 30)           1 with value (4 52)
% 14.02/14.19  ;    77 with value (4 11)         24 with value (4 31)           1 with value (4 54)
% 14.02/14.19  ;    96 with value (4 12)         56 with value (4 32)           1 with value (4 64)
% 14.02/14.19  ;   137 with value (4 13)         26 with value (4 33)           7 with value (4 68)
% 14.02/14.19  ;   126 with value (4 14)         17 with value (4 34)           1 with value (4 74)
% 14.02/14.19  ;   147 with value (4 15)          9 with value (4 35)           4 with value (4 80)
% 14.02/14.19  ;   100 with value (4 16)        203 with value (4 36)           5 with value (4 83)
% 14.02/14.19  ;   208 with value (4 17)         14 with value (4 37)           1 with value (4 84)
% 14.02/14.19  ;   141 with value (4 18)         31 with value (4 38)           1 with value (4 87)
% 14.02/14.19  ;   263 with value (4 19)         83 with value (4 39)           2 with value (4 124)
% 14.02/14.19  ;   292 with value (4 20)         49 with value (4 40)           5 with value (4 162)
% 14.02/14.19  ;    97 with value (4 21)          6 with value (4 41)           2 with value (4 176)
% 14.02/14.19  ;   186 with value (4 22)          3 with value (4 42)           1 with value (4 180)
% 14.02/14.19  ;   159 with value (4 23)          6 with value (4 45)           1 with value (4 181)
% 14.02/14.19  ;   271 with value (4 24)          3 with value (4 46)           1 with value (4 185)
% 14.02/14.19  ;   131 with value (4 25)          1 with value (4 47)           7 with value (4 260)
% 14.02/14.19  Evaluation took:
% 14.02/14.19    13.712 seconds of real time
% 14.02/14.19    12.704472 seconds of user run time
% 14.02/14.19    1.006607 seconds of system run time
% 14.02/14.19    [Run times include 1.299 seconds GC run time.]
% 14.02/14.19    0 calls to %EVAL
% 14.02/14.19    0 page faults and
% 14.02/14.19    1,036,675,576 bytes consed.
% 14.02/14.19  :PROOF-FOUND
% 14.02/14.19  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T07:29:15
% 14.02/14.19  :PROOF-FOUND
% 14.02/14.19  * 
%------------------------------------------------------------------------------