TSTP Solution File: SWV674-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV674-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n003.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  : 300s
% DateTime : Tue Aug 22 11:05:26 EDT 2023

% Result   : Unsatisfiable 40.01s 21.23s
% Output   : CNFRefutation 40.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   70
% Syntax   : Number of formulae    :   99 (  18 unt;  57 typ;   0 def)
%            Number of atoms       :   68 (  29 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   58 (  32   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   66 (  51   >;  15   *;   0   +;   0  <<)
%            Number of predicates  :   45 (  43 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   42 (;  42   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_lessequals > c_HOL_Oord__class_Oless > c_Parity_Oeven__odd__class_Oeven > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osemiring__0 > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring__1__no__zero__divisors > class_Ring__and__Field_Oring > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Opordered__ring > class_Ring__and__Field_Opordered__cancel__semiring > class_Ring__and__Field_Oordered__semiring__strict > class_Ring__and__Field_Oordered__semiring > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oordered__field > class_Ring__and__Field_Oordered__comm__semiring__strict > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Omult__mono1 > class_Ring__and__Field_Omult__mono > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ofield > class_Ring__and__Field_Odivision__ring > class_Ring__and__Field_Odivision__by__zero > class_Ring__and__Field_Ocomm__semiring__1 > class_RealVector_Oreal__normed__field > class_RealVector_Oreal__normed__algebra > class_Power_Opower > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Omonoid__mult > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__mult > class_OrderedGroup_Oab__semigroup__mult > class_OrderedGroup_Oab__semigroup__idem__mult > class_OrderedGroup_Oab__group__add > class_Int_Oring__char__0 > class_Int_Onumber__ring > class_Int_Onumber > c_Power_Opower__class_Opower > c_HOL_Otimes__class_Otimes > c_HOL_Ominus__class_Ominus > c_HOL_Oinverse__class_Odivide > c_Int_Onumber__class_Onumber__of > c_HOL_Oinverse__class_Oinverse > #nlpp > c_HOL_Ozero__class_Ozero > c_HOL_Oone__class_Oone > v_x > v_a > tc_nat > tc_Int_Oint > t_a > c_Int_OMin

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(v_x,type,
    v_x: $i ).

tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
    class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).

tff(class_Int_Oring__char__0,type,
    class_Int_Oring__char__0: $i > $o ).

tff(class_Orderings_Olinorder,type,
    class_Orderings_Olinorder: $i > $o ).

tff(class_Int_Onumber__ring,type,
    class_Int_Onumber__ring: $i > $o ).

tff(c_HOL_Oord__class_Oless,type,
    c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).

tff(c_Parity_Oeven__odd__class_Oeven,type,
    c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).

tff(c_HOL_Oinverse__class_Oinverse,type,
    c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).

tff(c_Int_Onumber__class_Onumber__of,type,
    c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).

tff(class_Ring__and__Field_Oordered__semiring,type,
    class_Ring__and__Field_Oordered__semiring: $i > $o ).

tff(class_Ring__and__Field_Oring__1__no__zero__divisors,type,
    class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).

tff(class_Ring__and__Field_Oring,type,
    class_Ring__and__Field_Oring: $i > $o ).

tff(class_RealVector_Oreal__normed__field,type,
    class_RealVector_Oreal__normed__field: $i > $o ).

tff(class_Ring__and__Field_Osemiring__0,type,
    class_Ring__and__Field_Osemiring__0: $i > $o ).

tff(tc_Int_Oint,type,
    tc_Int_Oint: $i ).

tff(t_a,type,
    t_a: $i ).

tff(class_Ring__and__Field_Omult__zero,type,
    class_Ring__and__Field_Omult__zero: $i > $o ).

tff(class_Orderings_Oorder,type,
    class_Orderings_Oorder: $i > $o ).

tff(class_Orderings_Opreorder,type,
    class_Orderings_Opreorder: $i > $o ).

tff(class_OrderedGroup_Oab__semigroup__mult,type,
    class_OrderedGroup_Oab__semigroup__mult: $i > $o ).

tff(c_HOL_Oinverse__class_Odivide,type,
    c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).

tff(class_Ring__and__Field_Odivision__by__zero,type,
    class_Ring__and__Field_Odivision__by__zero: $i > $o ).

tff(class_Ring__and__Field_Ono__zero__divisors,type,
    class_Ring__and__Field_Ono__zero__divisors: $i > $o ).

tff(class_Int_Onumber,type,
    class_Int_Onumber: $i > $o ).

tff(class_Ring__and__Field_Oordered__field,type,
    class_Ring__and__Field_Oordered__field: $i > $o ).

tff(class_Ring__and__Field_Opordered__ring,type,
    class_Ring__and__Field_Opordered__ring: $i > $o ).

tff(class_Ring__and__Field_Ozero__neq__one,type,
    class_Ring__and__Field_Ozero__neq__one: $i > $o ).

tff(class_Ring__and__Field_Oordered__ring__strict,type,
    class_Ring__and__Field_Oordered__ring__strict: $i > $o ).

tff(class_Ring__and__Field_Oordered__comm__semiring__strict,type,
    class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).

tff(class_Ring__and__Field_Ofield,type,
    class_Ring__and__Field_Ofield: $i > $o ).

tff(class_Ring__and__Field_Oordered__idom,type,
    class_Ring__and__Field_Oordered__idom: $i > $o ).

tff(c_lessequals,type,
    c_lessequals: ( $i * $i * $i ) > $o ).

tff(tc_nat,type,
    tc_nat: $i ).

tff(class_RealVector_Oreal__normed__algebra,type,
    class_RealVector_Oreal__normed__algebra: $i > $o ).

tff(class_OrderedGroup_Ocomm__monoid__mult,type,
    class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).

tff(class_Power_Opower,type,
    class_Power_Opower: $i > $o ).

tff(class_Ring__and__Field_Oring__no__zero__divisors,type,
    class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).

tff(class_Ring__and__Field_Oidom,type,
    class_Ring__and__Field_Oidom: $i > $o ).

tff(v_a,type,
    v_a: $i ).

tff(class_Ring__and__Field_Oordered__semiring__strict,type,
    class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).

tff(class_Ring__and__Field_Opordered__cancel__semiring,type,
    class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).

tff(c_Power_Opower__class_Opower,type,
    c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).

tff(c_HOL_Otimes__class_Otimes,type,
    c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).

tff(c_HOL_Ozero__class_Ozero,type,
    c_HOL_Ozero__class_Ozero: $i > $i ).

tff(c_HOL_Oone__class_Oone,type,
    c_HOL_Oone__class_Oone: $i > $i ).

tff(class_OrderedGroup_Omonoid__mult,type,
    class_OrderedGroup_Omonoid__mult: $i > $o ).

tff(class_Ring__and__Field_Omult__mono1,type,
    class_Ring__and__Field_Omult__mono1: $i > $o ).

tff(class_OrderedGroup_Oab__group__add,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

tff(class_OrderedGroup_Ogroup__add,type,
    class_OrderedGroup_Ogroup__add: $i > $o ).

tff(class_Ring__and__Field_Omult__mono,type,
    class_Ring__and__Field_Omult__mono: $i > $o ).

tff(class_Ring__and__Field_Ocomm__semiring__1,type,
    class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).

tff(class_Ring__and__Field_Odivision__ring,type,
    class_Ring__and__Field_Odivision__ring: $i > $o ).

tff(class_Ring__and__Field_Opordered__semiring,type,
    class_Ring__and__Field_Opordered__semiring: $i > $o ).

tff(c_HOL_Ominus__class_Ominus,type,
    c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).

tff(class_OrderedGroup_Opordered__ab__group__add,type,
    class_OrderedGroup_Opordered__ab__group__add: $i > $o ).

tff(c_Int_OMin,type,
    c_Int_OMin: $i ).

tff(class_Ring__and__Field_Oordered__semidom,type,
    class_Ring__and__Field_Oordered__semidom: $i > $o ).

tff(f_6757,axiom,
    class_Ring__and__Field_Ofield(t_a),
    file(unknown,unknown) ).

tff(f_6430,axiom,
    ( ~ class_Ring__and__Field_Ofield(t_a)
    | ( v_a != c_HOL_Ozero__class_Ozero(t_a) ) ),
    file(unknown,unknown) ).

tff(f_6795,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Ofield(T)
      | class_Ring__and__Field_Odivision__ring(T) ),
    file(unknown,unknown) ).

tff(f_6090,axiom,
    ! [T_a,V_a,V_n] :
      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
      | ( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) )
      | ( V_a = c_HOL_Ozero__class_Ozero(T_a) ) ),
    file(unknown,unknown) ).

tff(f_6840,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Ofield(T)
      | class_Power_Opower(T) ),
    file(unknown,unknown) ).

tff(f_6820,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Ofield(T)
      | class_OrderedGroup_Omonoid__mult(T) ),
    file(unknown,unknown) ).

tff(f_6780,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Ofield(T)
      | class_Ring__and__Field_Ocomm__semiring__1(T) ),
    file(unknown,unknown) ).

tff(f_358,axiom,
    ! [T_a,V_x,V_y] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
      | ( c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ),
    file(unknown,unknown) ).

tff(f_388,axiom,
    ! [T_a,V_a] :
      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
      | ( c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ),
    file(unknown,unknown) ).

tff(f_1232,axiom,
    ! [T_a,V_a,V_b] :
      ( ~ class_Ring__and__Field_Ofield(T_a)
      | ( c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ),
    file(unknown,unknown) ).

tff(f_4256,axiom,
    ! [T_a,V_a] :
      ( ~ class_Power_Opower(T_a)
      | ( c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ),
    file(unknown,unknown) ).

tff(f_6472,axiom,
    ! [V_m] : ( c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ),
    file(unknown,unknown) ).

tff(f_6760,axiom,
    c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
    file(unknown,unknown) ).

tff(c_1226,plain,
    class_Ring__and__Field_Ofield(t_a),
    inference(cnfTransformation,[status(thm)],[f_6757]) ).

tff(c_1142,plain,
    ( ( c_HOL_Ozero__class_Ozero(t_a) != v_a )
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(cnfTransformation,[status(thm)],[f_6430]) ).

tff(c_1374,plain,
    c_HOL_Ozero__class_Ozero(t_a) != v_a,
    inference(demodulation,[status(thm),theory(equality)],[c_1226,c_1142]) ).

tff(c_1385,plain,
    ! [T_1911] :
      ( class_Ring__and__Field_Odivision__ring(T_1911)
      | ~ class_Ring__and__Field_Ofield(T_1911) ),
    inference(cnfTransformation,[status(thm)],[f_6795]) ).

tff(c_1389,plain,
    class_Ring__and__Field_Odivision__ring(t_a),
    inference(resolution,[status(thm)],[c_1226,c_1385]) ).

tff(c_1072,plain,
    ! [T_a_1690,V_a_1691,V_n_1692] :
      ( ( c_HOL_Ozero__class_Ozero(T_a_1690) = V_a_1691 )
      | ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a_1691,T_a_1690),V_n_1692,T_a_1690) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a_1691,V_n_1692,T_a_1690),T_a_1690) )
      | ~ class_Ring__and__Field_Odivision__ring(T_a_1690) ),
    inference(cnfTransformation,[status(thm)],[f_6090]) ).

tff(c_1417,plain,
    ! [T_1919] :
      ( class_Power_Opower(T_1919)
      | ~ class_Ring__and__Field_Ofield(T_1919) ),
    inference(cnfTransformation,[status(thm)],[f_6840]) ).

tff(c_1421,plain,
    class_Power_Opower(t_a),
    inference(resolution,[status(thm)],[c_1226,c_1417]) ).

tff(c_1396,plain,
    ! [T_1914] :
      ( class_OrderedGroup_Omonoid__mult(T_1914)
      | ~ class_Ring__and__Field_Ofield(T_1914) ),
    inference(cnfTransformation,[status(thm)],[f_6820]) ).

tff(c_1400,plain,
    class_OrderedGroup_Omonoid__mult(t_a),
    inference(resolution,[status(thm)],[c_1226,c_1396]) ).

tff(c_1412,plain,
    ! [T_1918] :
      ( class_Ring__and__Field_Ocomm__semiring__1(T_1918)
      | ~ class_Ring__and__Field_Ofield(T_1918) ),
    inference(cnfTransformation,[status(thm)],[f_6780]) ).

tff(c_1416,plain,
    class_Ring__and__Field_Ocomm__semiring__1(t_a),
    inference(resolution,[status(thm)],[c_1226,c_1412]) ).

tff(c_3358,plain,
    ! [V_y_2051,V_x_2052,T_a_2053] :
      ( ( c_HOL_Otimes__class_Otimes(V_y_2051,V_x_2052,T_a_2053) = c_HOL_Otimes__class_Otimes(V_x_2052,V_y_2051,T_a_2053) )
      | ~ class_Ring__and__Field_Ocomm__semiring__1(T_a_2053) ),
    inference(cnfTransformation,[status(thm)],[f_358]) ).

tff(c_7039,plain,
    ! [V_y_2149,V_x_2150] : ( c_HOL_Otimes__class_Otimes(V_y_2149,V_x_2150,t_a) = c_HOL_Otimes__class_Otimes(V_x_2150,V_y_2149,t_a) ),
    inference(resolution,[status(thm)],[c_1416,c_3358]) ).

tff(c_94,plain,
    ! [V_a_148,T_a_147] :
      ( ( c_HOL_Otimes__class_Otimes(V_a_148,c_HOL_Oone__class_Oone(T_a_147),T_a_147) = V_a_148 )
      | ~ class_OrderedGroup_Omonoid__mult(T_a_147) ),
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_7131,plain,
    ! [V_x_2150] :
      ( ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(t_a),V_x_2150,t_a) = V_x_2150 )
      | ~ class_OrderedGroup_Omonoid__mult(t_a) ),
    inference(superposition,[status(thm),theory(equality)],[c_7039,c_94]) ).

tff(c_7368,plain,
    ! [V_x_2151] : ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(t_a),V_x_2151,t_a) = V_x_2151 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1400,c_7131]) ).

tff(c_272,plain,
    ! [V_a_453,V_b_454,T_a_452] :
      ( ( c_HOL_Otimes__class_Otimes(V_a_453,c_HOL_Oinverse__class_Oinverse(V_b_454,T_a_452),T_a_452) = c_HOL_Oinverse__class_Odivide(V_a_453,V_b_454,T_a_452) )
      | ~ class_Ring__and__Field_Ofield(T_a_452) ),
    inference(cnfTransformation,[status(thm)],[f_1232]) ).

tff(c_7383,plain,
    ! [V_b_454] :
      ( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),V_b_454,t_a) = c_HOL_Oinverse__class_Oinverse(V_b_454,t_a) )
      | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(superposition,[status(thm),theory(equality)],[c_7368,c_272]) ).

tff(c_7480,plain,
    ! [V_b_454] : ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),V_b_454,t_a) = c_HOL_Oinverse__class_Oinverse(V_b_454,t_a) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1226,c_7383]) ).

tff(c_694,plain,
    ! [V_a_1179,T_a_1178] :
      ( ( c_Power_Opower__class_Opower(V_a_1179,c_HOL_Ozero__class_Ozero(tc_nat),T_a_1178) = c_HOL_Oone__class_Oone(T_a_1178) )
      | ~ class_Power_Opower(T_a_1178) ),
    inference(cnfTransformation,[status(thm)],[f_4256]) ).

tff(c_1160,plain,
    ! [V_m_1803] : ( c_HOL_Ominus__class_Ominus(V_m_1803,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m_1803 ),
    inference(cnfTransformation,[status(thm)],[f_6472]) ).

tff(c_1230,plain,
    c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
    inference(cnfTransformation,[status(thm)],[f_6760]) ).

tff(c_1372,plain,
    c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
    inference(demodulation,[status(thm),theory(equality)],[c_1160,c_1230]) ).

tff(c_31260,plain,
    ( ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) )
    | ~ class_Power_Opower(t_a) ),
    inference(superposition,[status(thm),theory(equality)],[c_694,c_1372]) ).

tff(c_31264,plain,
    c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
    inference(demodulation,[status(thm),theory(equality)],[c_1421,c_7480,c_31260]) ).

tff(c_175460,plain,
    ( ( c_HOL_Ozero__class_Ozero(t_a) = v_a )
    | ~ class_Ring__and__Field_Odivision__ring(t_a) ),
    inference(superposition,[status(thm),theory(equality)],[c_1072,c_31264]) ).

tff(c_175469,plain,
    c_HOL_Ozero__class_Ozero(t_a) = v_a,
    inference(demodulation,[status(thm),theory(equality)],[c_1389,c_175460]) ).

tff(c_175471,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1374,c_175469]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem  : SWV674-1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n003.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  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 23:12:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 40.01/21.23  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.11/21.24  
% 40.11/21.24  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 40.11/21.27  
% 40.11/21.27  Inference rules
% 40.11/21.27  ----------------------
% 40.11/21.27  #Ref     : 13
% 40.11/21.27  #Sup     : 29511
% 40.11/21.27  #Fact    : 34
% 40.11/21.27  #Define  : 0
% 40.11/21.27  #Split   : 14
% 40.11/21.27  #Chain   : 0
% 40.11/21.27  #Close   : 0
% 40.11/21.27  
% 40.11/21.27  Ordering : KBO
% 40.11/21.27  
% 40.11/21.27  Simplification rules
% 40.11/21.27  ----------------------
% 40.11/21.27  #Subsume      : 9244
% 40.11/21.27  #Demod        : 11005
% 40.11/21.27  #Tautology    : 4893
% 40.11/21.27  #SimpNegUnit  : 1012
% 40.11/21.27  #BackRed      : 0
% 40.11/21.27  
% 40.11/21.27  #Partial instantiations: 18200
% 40.11/21.27  #Strategies tried      : 1
% 40.11/21.27  
% 40.11/21.27  Timing (in seconds)
% 40.11/21.27  ----------------------
% 40.11/21.27  Preprocessing        : 1.76
% 40.11/21.27  Parsing              : 0.98
% 40.11/21.27  CNF conversion       : 0.17
% 40.11/21.27  Main loop            : 18.37
% 40.11/21.27  Inferencing          : 2.65
% 40.11/21.27  Reduction            : 7.11
% 40.11/21.27  Demodulation         : 5.45
% 40.11/21.27  BG Simplification    : 0.40
% 40.11/21.27  Subsumption          : 7.57
% 40.11/21.27  Abstraction          : 0.26
% 40.11/21.27  MUC search           : 0.00
% 40.11/21.27  Cooper               : 0.00
% 40.11/21.27  Total                : 20.19
% 40.11/21.27  Index Insertion      : 0.00
% 40.11/21.27  Index Deletion       : 0.00
% 40.11/21.27  Index Matching       : 0.00
% 40.11/21.27  BG Taut test         : 0.00
%------------------------------------------------------------------------------