TSTP Solution File: ANA022-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ANA022-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 Apr 30 20:11:43 EDT 2024

% Result   : Unsatisfiable 45.89s 6.18s
% Output   : CNFRefutation 46.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  177 (  60 unt;   0 def)
%            Number of atoms       :  328 (  86 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  293 ( 142   ~; 149   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   3 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  371 ( 371   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [V_U] : c_lessequals(v_k(V_U),v_f(V_U),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [T_a,V_a] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
      | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [T_a,V_a] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
      | c_HOL_Oabs(c_uminus(V_a,T_a),T_a) = c_HOL_Oabs(V_a,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [T_a,V_a] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
      | ~ c_lessequals(V_a,c_0,T_a)
      | c_HOL_Oabs(V_a,T_a) = c_uminus(V_a,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [T_a,V_a,V_c,V_b] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
      | ~ c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a)
      | c_lessequals(V_a,V_b,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [T_a,V_y] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
      | c_plus(c_0,V_y,T_a) = V_y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [T_a,V_a,V_b,V_c] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | c_plus(V_a,c_minus(V_b,V_c,T_a),T_a) = c_minus(c_plus(V_a,V_b,T_a),V_c,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [T_a,V_a,V_b,V_c] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | c_plus(c_minus(V_a,V_b,T_a),V_c,T_a) = c_minus(c_plus(V_a,V_c,T_a),V_b,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [T_a,V_a,V_c,V_b] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
      | ~ c_lessequals(V_a,c_plus(V_c,V_b,T_a),T_a)
      | c_lessequals(c_minus(V_a,V_b,T_a),V_c,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [T_a,V_a,V_b] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | c_minus(V_a,c_uminus(V_b,T_a),T_a) = c_plus(V_a,V_b,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [T_a,V_a] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | c_minus(V_a,V_a,T_a) = c_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [T_a,V_a,V_b] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | c_uminus(c_minus(V_a,V_b,T_a),T_a) = c_minus(V_b,V_a,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [T_a,V_y,V_x] :
      ( ~ class_Orderings_Olinorder(T_a)
      | c_less(V_y,V_x,T_a)
      | c_lessequals(V_x,V_y,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [T_b,V_y,V_z,V_x] :
      ( ~ class_Orderings_Olinorder(T_b)
      | ~ c_lessequals(V_y,V_z,T_b)
      | ~ c_lessequals(V_x,V_z,T_b)
      | c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [T_a,V_y,V_z,V_x] :
      ( ~ class_Orderings_Oorder(T_a)
      | ~ c_lessequals(V_y,V_z,T_a)
      | ~ c_lessequals(V_x,V_y,T_a)
      | c_lessequals(V_x,V_z,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [T_a,V_x,V_y] :
      ( ~ class_Orderings_Oorder(T_a)
      | ~ c_less(V_x,V_y,T_a)
      | c_lessequals(V_x,V_y,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [T] :
      ( ~ class_LOrder_Ojoin__semilorder(T)
      | class_Orderings_Oorder(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [T] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)
      | class_OrderedGroup_Opordered__ab__group__add(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [T] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__idom(T)
      | class_OrderedGroup_Ocomm__monoid__add(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__idom(T)
      | class_Orderings_Olinorder(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__idom(T)
      | class_LOrder_Ojoin__semilorder(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__idom(T)
      | class_OrderedGroup_Oab__group__add(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [T] :
      ( ~ class_Ring__and__Field_Oordered__idom(T)
      | class_OrderedGroup_Olordered__ab__group__abs(T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,plain,
    ! [X0] : c_lessequals(v_k(X0),v_f(X0),t_b),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f29,plain,
    ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f30,plain,
    class_Ring__and__Field_Oordered__idom(t_b),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f31,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
      | ! [V_a] : c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
      | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f33,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
      | ! [V_a] : c_HOL_Oabs(c_uminus(V_a,T_a),T_a) = c_HOL_Oabs(V_a,T_a) ),
    inference(miniscoping,[status(esa)],[f5]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
      | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ~ c_lessequals(X1,c_0,X0)
      | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f36,plain,
    ! [T_a,V_a,V_b] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
      | ! [V_c] : ~ c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a)
      | c_lessequals(V_a,V_b,T_a) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
      | c_lessequals(X1,X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f38,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
      | ! [V_y] : c_plus(c_0,V_y,T_a) = V_y ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
      | c_plus(c_0,X1,X0) = X1 ),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f40,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | ! [V_a,V_b,V_c] : c_plus(V_a,c_minus(V_b,V_c,T_a),T_a) = c_minus(c_plus(V_a,V_b,T_a),V_c,T_a) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f42,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | ! [V_a,V_b,V_c] : c_plus(c_minus(V_a,V_b,T_a),V_c,T_a) = c_minus(c_plus(V_a,V_c,T_a),V_b,T_a) ),
    inference(miniscoping,[status(esa)],[f10]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f42]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
      | ~ c_lessequals(X1,c_plus(X2,X3,X0),X0)
      | c_lessequals(c_minus(X1,X3,X0),X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f46,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | ! [V_a,V_b] : c_minus(V_a,c_uminus(V_b,T_a),T_a) = c_plus(V_a,V_b,T_a) ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f48,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | ! [V_a] : c_minus(V_a,V_a,T_a) = c_0 ),
    inference(miniscoping,[status(esa)],[f14]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_minus(X1,X1,X0) = c_0 ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f50,plain,
    ! [T_a] :
      ( ~ class_OrderedGroup_Oab__group__add(T_a)
      | ! [V_a,V_b] : c_uminus(c_minus(V_a,V_b,T_a),T_a) = c_minus(V_b,V_a,T_a) ),
    inference(miniscoping,[status(esa)],[f15]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Olinorder(X0)
      | c_less(X1,X2,X0)
      | c_lessequals(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Orderings_Olinorder(X0)
      | ~ c_lessequals(X1,X2,X0)
      | ~ c_lessequals(X3,X2,X0)
      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f54,plain,
    ! [T_a,V_z,V_x] :
      ( ! [V_y] :
          ( ~ class_Orderings_Oorder(T_a)
          | ~ c_lessequals(V_y,V_z,T_a)
          | ~ c_lessequals(V_x,V_y,T_a) )
      | c_lessequals(V_x,V_z,T_a) ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X0)
      | ~ c_lessequals(X1,X2,X0)
      | ~ c_lessequals(X3,X1,X0)
      | c_lessequals(X3,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f54]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Oorder(X0)
      | ~ c_less(X1,X2,X0)
      | c_lessequals(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ class_LOrder_Ojoin__semilorder(X0)
      | class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_LOrder_Ojoin__semilorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_OrderedGroup_Oab__group__add(X0) ),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(resolution,[status(thm)],[f32,f64]) ).

fof(f66,plain,
    ! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
    inference(resolution,[status(thm)],[f65,f30]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( c_minus(X0,X0,X1) = c_0
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(resolution,[status(thm)],[f49,f63]) ).

fof(f68,plain,
    ! [X0] : c_minus(X0,X0,t_b) = c_0,
    inference(resolution,[status(thm)],[f67,f30]) ).

fof(f69,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | ~ c_lessequals(X1,X2,X0)
      | ~ c_lessequals(X3,X2,X0)
      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
    inference(resolution,[status(thm)],[f61,f53]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,t_b)
      | ~ c_lessequals(X2,X1,t_b)
      | c_lessequals(c_Orderings_Omax(X2,X0,t_b),X1,t_b) ),
    inference(resolution,[status(thm)],[f69,f30]) ).

fof(f71,plain,
    ( spl0_0
  <=> c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    introduced(split_symbol_definition) ).

fof(f73,plain,
    ( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f71]) ).

fof(f74,plain,
    ( spl0_1
  <=> c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    introduced(split_symbol_definition) ).

fof(f76,plain,
    ( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f74]) ).

fof(f77,plain,
    ( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
    | ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
    inference(resolution,[status(thm)],[f70,f29]) ).

fof(f78,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f77,f71,f74]) ).

fof(f79,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f73,f66]) ).

fof(f80,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f79]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(resolution,[status(thm)],[f34,f64]) ).

fof(f82,plain,
    ! [X0] : c_HOL_Oabs(c_uminus(X0,t_b),t_b) = c_HOL_Oabs(X0,t_b),
    inference(resolution,[status(thm)],[f81,f30]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
      | c_lessequals(X1,X3,X0) ),
    inference(resolution,[status(thm)],[f59,f37]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
      | c_lessequals(X0,X3,X2)
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(resolution,[status(thm)],[f84,f64]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(c_plus(X0,X1,t_b),c_plus(X2,X1,t_b),t_b)
      | c_lessequals(X0,X2,t_b) ),
    inference(resolution,[status(thm)],[f85,f30]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | class_Orderings_Oorder(X0) ),
    inference(resolution,[status(thm)],[f62,f57]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( c_plus(c_0,X0,X1) = X0
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(resolution,[status(thm)],[f39,f60]) ).

fof(f89,plain,
    ! [X0] : c_plus(c_0,X0,t_b) = X0,
    inference(resolution,[status(thm)],[f88,f30]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,c_0,X1)
      | c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(resolution,[status(thm)],[f35,f64]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_0,t_b)
      | c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b) ),
    inference(resolution,[status(thm)],[f92,f30]) ).

fof(f754,plain,
    ! [X0,X1,X2,X3] :
      ( c_plus(X0,c_minus(X1,X2,X3),X3) = c_minus(c_plus(X0,X1,X3),X2,X3)
      | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(resolution,[status(thm)],[f41,f63]) ).

fof(f755,plain,
    ! [X0,X1,X2,X3] :
      ( c_plus(c_minus(X0,X1,X2),X3,X2) = c_minus(c_plus(X0,X3,X2),X1,X2)
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(resolution,[status(thm)],[f43,f63]) ).

fof(f756,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(X0,c_plus(X1,X2,X3),X3)
      | c_lessequals(c_minus(X0,X2,X3),X1,X3)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X3) ),
    inference(resolution,[status(thm)],[f44,f58]) ).

fof(f758,plain,
    ! [X0,X1,X2] :
      ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(resolution,[status(thm)],[f47,f63]) ).

fof(f759,plain,
    ! [X0,X1,X2] :
      ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(resolution,[status(thm)],[f51,f63]) ).

fof(f760,plain,
    ! [X0,X1,X2] :
      ( c_less(X0,X1,X2)
      | c_lessequals(X1,X0,X2)
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(resolution,[status(thm)],[f52,f61]) ).

fof(f761,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(X0,X1,X2)
      | ~ c_lessequals(X3,X0,X2)
      | c_lessequals(X3,X1,X2)
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(resolution,[status(thm)],[f55,f87]) ).

fof(f762,plain,
    ! [X0,X1,X2] :
      ( ~ c_less(X0,X1,X2)
      | c_lessequals(X0,X1,X2)
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(resolution,[status(thm)],[f56,f87]) ).

fof(f763,plain,
    ! [X0,X1,X2] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
    inference(resolution,[status(thm)],[f754,f30]) ).

fof(f764,plain,
    ! [X0,X1,X2] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
    inference(resolution,[status(thm)],[f755,f30]) ).

fof(f765,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(X0,c_plus(X1,X2,X3),X3)
      | c_lessequals(c_minus(X0,X2,X3),X1,X3)
      | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(resolution,[status(thm)],[f756,f64]) ).

fof(f795,plain,
    ! [X0,X1] : c_plus(X0,c_0,t_b) = c_minus(c_plus(X0,X1,t_b),X1,t_b),
    inference(paramodulation,[status(thm)],[f68,f763]) ).

fof(f816,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(c_plus(X0,c_minus(X1,X2,t_b),t_b),c_minus(c_plus(X3,X1,t_b),X2,t_b),t_b)
      | c_lessequals(X0,X3,t_b) ),
    inference(paramodulation,[status(thm)],[f763,f86]) ).

fof(f817,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(c_minus(c_plus(X0,X1,t_b),X2,t_b),c_minus(c_plus(X3,X1,t_b),X2,t_b),t_b)
      | c_lessequals(X0,X3,t_b) ),
    inference(forward_demodulation,[status(thm)],[f763,f816]) ).

fof(f856,plain,
    ! [X0,X1] : c_plus(c_0,X0,t_b) = c_minus(c_plus(X1,X0,t_b),X1,t_b),
    inference(paramodulation,[status(thm)],[f68,f764]) ).

fof(f857,plain,
    ! [X0,X1] : X0 = c_minus(c_plus(X1,X0,t_b),X1,t_b),
    inference(forward_demodulation,[status(thm)],[f89,f856]) ).

fof(f926,plain,
    ! [X0] : X0 = c_plus(X0,c_0,t_b),
    inference(paramodulation,[status(thm)],[f795,f857]) ).

fof(f928,plain,
    ! [X0] : X0 = c_minus(X0,c_0,t_b),
    inference(paramodulation,[status(thm)],[f89,f857]) ).

fof(f1564,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,c_minus(c_plus(X1,X0,t_b),X2,t_b),t_b)
      | c_lessequals(X2,X1,t_b) ),
    inference(paramodulation,[status(thm)],[f857,f817]) ).

fof(f1570,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(c_minus(X0,X1,t_b),c_minus(c_plus(X2,c_0,t_b),X1,t_b),t_b)
      | c_lessequals(X0,X2,t_b) ),
    inference(paramodulation,[status(thm)],[f926,f817]) ).

fof(f1571,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b)
      | c_lessequals(X0,X2,t_b) ),
    inference(forward_demodulation,[status(thm)],[f926,f1570]) ).

fof(f1617,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,c_0,t_b)
      | c_lessequals(c_plus(X1,X0,t_b),X1,t_b) ),
    inference(paramodulation,[status(thm)],[f68,f1564]) ).

fof(f1760,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(c_minus(X0,X1,t_b),X2,t_b)
      | c_lessequals(X0,c_plus(X1,X2,t_b),t_b) ),
    inference(paramodulation,[status(thm)],[f857,f1571]) ).

fof(f2366,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,c_plus(X1,X2,t_b),t_b)
      | c_lessequals(c_minus(X0,X2,t_b),X1,t_b) ),
    inference(resolution,[status(thm)],[f765,f30]) ).

fof(f2538,plain,
    ( ~ c_lessequals(v_k(v_x),c_plus(c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),v_g(v_x),t_b),t_b)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f2366,f76]) ).

fof(f2570,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,c_plus(c_0,X1,t_b),t_b)
      | c_lessequals(c_plus(X2,c_minus(X0,X1,t_b),t_b),X2,t_b) ),
    inference(resolution,[status(thm)],[f2366,f1617]) ).

fof(f2571,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,t_b)
      | c_lessequals(c_plus(X2,c_minus(X0,X1,t_b),t_b),X2,t_b) ),
    inference(forward_demodulation,[status(thm)],[f89,f2570]) ).

fof(f2572,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,t_b)
      | c_lessequals(c_minus(c_plus(X2,X0,t_b),X1,t_b),X2,t_b) ),
    inference(forward_demodulation,[status(thm)],[f763,f2571]) ).

fof(f2675,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,c_plus(c_0,X1,t_b),t_b)
      | c_HOL_Oabs(c_minus(X0,X1,t_b),t_b) = c_uminus(c_minus(X0,X1,t_b),t_b) ),
    inference(resolution,[status(thm)],[f2366,f93]) ).

fof(f2676,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,X1,t_b)
      | c_HOL_Oabs(c_minus(X0,X1,t_b),t_b) = c_uminus(c_minus(X0,X1,t_b),t_b) ),
    inference(forward_demodulation,[status(thm)],[f89,f2675]) ).

fof(f3317,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_0,X0,t_b)
      | c_lessequals(c_minus(X1,X0,t_b),X1,t_b) ),
    inference(paramodulation,[status(thm)],[f926,f2572]) ).

fof(f3386,plain,
    ! [X0,X1] : c_lessequals(c_minus(X0,c_HOL_Oabs(X1,t_b),t_b),X0,t_b),
    inference(resolution,[status(thm)],[f3317,f66]) ).

fof(f4984,plain,
    ! [X0,X1] : c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
    inference(resolution,[status(thm)],[f758,f30]) ).

fof(f4985,plain,
    ! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
    inference(resolution,[status(thm)],[f759,f30]) ).

fof(f4989,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,X1,t_b)
      | c_HOL_Oabs(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b) ),
    inference(backward_demodulation,[status(thm)],[f4985,f2676]) ).

fof(f4995,plain,
    ! [X0,X1] : X0 = c_plus(c_plus(c_uminus(X1,t_b),X0,t_b),X1,t_b),
    inference(paramodulation,[status(thm)],[f857,f4984]) ).

fof(f4996,plain,
    ! [X0] : c_0 = c_plus(c_uminus(X0,t_b),X0,t_b),
    inference(paramodulation,[status(thm)],[f68,f4984]) ).

fof(f5042,plain,
    ! [X0,X1,X2] : c_plus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),c_uminus(X1,t_b),t_b),
    inference(paramodulation,[status(thm)],[f4984,f764]) ).

fof(f5043,plain,
    ! [X0,X1,X2] : c_plus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(c_plus(X0,X2,t_b),X1,t_b),
    inference(forward_demodulation,[status(thm)],[f4984,f5042]) ).

fof(f5044,plain,
    ! [X0,X1,X2] : c_plus(X0,c_plus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),c_uminus(X2,t_b),t_b),
    inference(paramodulation,[status(thm)],[f4984,f763]) ).

fof(f5045,plain,
    ! [X0,X1,X2] : c_plus(X0,c_plus(X1,X2,t_b),t_b) = c_plus(c_plus(X0,X1,t_b),X2,t_b),
    inference(forward_demodulation,[status(thm)],[f4984,f5044]) ).

fof(f5049,plain,
    ! [X0,X1] : X0 = c_plus(c_uminus(X1,t_b),c_plus(X0,X1,t_b),t_b),
    inference(backward_demodulation,[status(thm)],[f5045,f4995]) ).

fof(f5076,plain,
    ! [X0,X1,X2] : c_plus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(X0,c_plus(X2,X1,t_b),t_b),
    inference(backward_demodulation,[status(thm)],[f5045,f5043]) ).

fof(f5077,plain,
    ! [X0,X1,X2] : c_plus(X0,c_plus(X1,X2,t_b),t_b) = c_plus(X0,c_plus(X2,X1,t_b),t_b),
    inference(forward_demodulation,[status(thm)],[f5045,f5076]) ).

fof(f5125,plain,
    ! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_minus(c_uminus(X1,t_b),X0,t_b),
    inference(paramodulation,[status(thm)],[f4984,f4985]) ).

fof(f5130,plain,
    ! [X0,X1,X2] : c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_plus(X0,c_minus(X2,X1,t_b),t_b),
    inference(paramodulation,[status(thm)],[f4985,f4984]) ).

fof(f5131,plain,
    ! [X0,X1,X2] : c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
    inference(forward_demodulation,[status(thm)],[f763,f5130]) ).

fof(f5132,plain,
    ! [X0,X1] : c_HOL_Oabs(c_minus(X0,X1,t_b),t_b) = c_HOL_Oabs(c_minus(X1,X0,t_b),t_b),
    inference(paramodulation,[status(thm)],[f4985,f82]) ).

fof(f5662,plain,
    ! [X0,X1] : c_plus(c_uminus(X0,t_b),c_plus(X0,X1,t_b),t_b) = c_plus(c_0,X1,t_b),
    inference(paramodulation,[status(thm)],[f4996,f5045]) ).

fof(f5663,plain,
    ! [X0,X1] : c_plus(c_uminus(X0,t_b),c_plus(X0,X1,t_b),t_b) = X1,
    inference(forward_demodulation,[status(thm)],[f89,f5662]) ).

fof(f5696,plain,
    ! [X0,X1] : c_plus(X0,X1,t_b) = c_plus(c_0,c_plus(X1,X0,t_b),t_b),
    inference(paramodulation,[status(thm)],[f89,f5077]) ).

fof(f5697,plain,
    ! [X0,X1] : c_plus(X0,X1,t_b) = c_plus(X1,X0,t_b),
    inference(forward_demodulation,[status(thm)],[f89,f5696]) ).

fof(f5709,plain,
    ! [X0,X1] : c_plus(c_uminus(c_plus(X0,X1,t_b),t_b),c_plus(X1,X0,t_b),t_b) = c_0,
    inference(paramodulation,[status(thm)],[f4996,f5077]) ).

fof(f5710,plain,
    ! [X0,X1] : c_plus(c_plus(X0,X1,t_b),c_uminus(c_plus(X1,X0,t_b),t_b),t_b) = c_0,
    inference(forward_demodulation,[status(thm)],[f5697,f5709]) ).

fof(f5711,plain,
    ! [X0,X1] : c_plus(X0,c_plus(X1,c_uminus(c_plus(X1,X0,t_b),t_b),t_b),t_b) = c_0,
    inference(forward_demodulation,[status(thm)],[f5045,f5710]) ).

fof(f5712,plain,
    ! [X0,X1] : c_plus(X0,c_plus(X1,c_minus(c_uminus(X0,t_b),X1,t_b),t_b),t_b) = c_0,
    inference(forward_demodulation,[status(thm)],[f5125,f5711]) ).

fof(f5851,plain,
    ! [X0,X1] :
      ( ~ c_less(X0,X1,t_b)
      | c_lessequals(X0,X1,t_b) ),
    inference(resolution,[status(thm)],[f762,f30]) ).

fof(f5859,plain,
    ! [X0,X1] : c_uminus(X0,t_b) = c_plus(c_uminus(c_plus(X1,X0,t_b),t_b),X1,t_b),
    inference(paramodulation,[status(thm)],[f5049,f5049]) ).

fof(f5860,plain,
    ! [X0,X1] : c_uminus(X0,t_b) = c_plus(X1,c_uminus(c_plus(X1,X0,t_b),t_b),t_b),
    inference(forward_demodulation,[status(thm)],[f5697,f5859]) ).

fof(f5861,plain,
    ! [X0,X1] : c_uminus(X0,t_b) = c_plus(X1,c_minus(c_uminus(X0,t_b),X1,t_b),t_b),
    inference(forward_demodulation,[status(thm)],[f5125,f5860]) ).

fof(f5908,plain,
    ! [X0] : c_plus(X0,c_uminus(X0,t_b),t_b) = c_0,
    inference(backward_demodulation,[status(thm)],[f5861,f5712]) ).

fof(f5926,plain,
    ! [X0] : X0 = c_plus(c_uminus(c_uminus(X0,t_b),t_b),c_0,t_b),
    inference(paramodulation,[status(thm)],[f5908,f5049]) ).

fof(f5927,plain,
    ! [X0] : X0 = c_uminus(c_uminus(X0,t_b),t_b),
    inference(forward_demodulation,[status(thm)],[f926,f5926]) ).

fof(f5964,plain,
    ! [X0,X1] : X0 = c_plus(X1,c_plus(X0,c_uminus(X1,t_b),t_b),t_b),
    inference(paramodulation,[status(thm)],[f5927,f5049]) ).

fof(f5966,plain,
    ! [X0,X1] : c_minus(X0,X1,t_b) = c_plus(X0,c_uminus(X1,t_b),t_b),
    inference(paramodulation,[status(thm)],[f5927,f4984]) ).

fof(f5969,plain,
    ! [X0,X1] : X0 = c_plus(X1,c_minus(X0,X1,t_b),t_b),
    inference(backward_demodulation,[status(thm)],[f5966,f5964]) ).

fof(f6061,plain,
    ! [X0,X1] : c_plus(c_uminus(X0,t_b),X1,t_b) = c_minus(X1,X0,t_b),
    inference(paramodulation,[status(thm)],[f5969,f5663]) ).

fof(f6135,plain,
    ! [X0,X1,X2] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(X0,c_plus(X1,c_uminus(X2,t_b),t_b),t_b),
    inference(paramodulation,[status(thm)],[f5045,f5966]) ).

fof(f6136,plain,
    ! [X0,X1,X2] : c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_plus(X0,c_plus(X2,c_uminus(X1,t_b),t_b),t_b),
    inference(forward_demodulation,[status(thm)],[f5131,f6135]) ).

fof(f6137,plain,
    ! [X0,X1,X2] : c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_plus(X0,c_minus(X2,X1,t_b),t_b),
    inference(forward_demodulation,[status(thm)],[f5966,f6136]) ).

fof(f6157,plain,
    ! [X0,X1,X2] : c_plus(X0,c_plus(c_uminus(X1,t_b),X2,t_b),t_b) = c_plus(c_minus(X0,X1,t_b),X2,t_b),
    inference(paramodulation,[status(thm)],[f5966,f5045]) ).

fof(f6158,plain,
    ! [X0,X1,X2] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_plus(c_minus(X0,X2,t_b),X1,t_b),
    inference(forward_demodulation,[status(thm)],[f6061,f6157]) ).

fof(f6159,plain,
    ! [X0,X1,X2] : c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_plus(c_minus(X0,X1,t_b),X2,t_b),
    inference(forward_demodulation,[status(thm)],[f6137,f6158]) ).

fof(f6383,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,t_b)
      | ~ c_lessequals(X2,X0,t_b)
      | c_lessequals(X2,X1,t_b) ),
    inference(resolution,[status(thm)],[f761,f30]) ).

fof(f6415,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,t_b)
      | c_lessequals(c_minus(X0,c_HOL_Oabs(X2,t_b),t_b),X1,t_b) ),
    inference(resolution,[status(thm)],[f6383,f3386]) ).

fof(f6426,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(v_f(X0),X1,t_b)
      | c_lessequals(v_k(X0),X1,t_b) ),
    inference(resolution,[status(thm)],[f6383,f28]) ).

fof(f7539,plain,
    ! [X0,X1] :
      ( c_less(X0,X1,t_b)
      | c_lessequals(X1,X0,t_b) ),
    inference(resolution,[status(thm)],[f760,f30]) ).

fof(f7742,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,t_b)
      | c_lessequals(X1,X0,t_b) ),
    inference(resolution,[status(thm)],[f5851,f7539]) ).

fof(f8085,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,v_f(X1),t_b)
      | c_lessequals(v_k(X1),X0,t_b) ),
    inference(resolution,[status(thm)],[f7742,f6426]) ).

fof(f8552,plain,
    ! [X0,X1,X2] :
      ( ~ c_lessequals(X0,X1,t_b)
      | c_lessequals(X0,c_plus(c_HOL_Oabs(X2,t_b),X1,t_b),t_b) ),
    inference(resolution,[status(thm)],[f6415,f1760]) ).

fof(f9036,plain,
    ( ~ c_lessequals(v_k(v_x),v_g(v_x),t_b)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f8552,f2538]) ).

fof(f9084,plain,
    ( c_lessequals(v_g(v_x),v_f(v_x),t_b)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f9036,f8085]) ).

fof(f9089,plain,
    ( c_HOL_Oabs(c_minus(v_g(v_x),v_f(v_x),t_b),t_b) = c_minus(v_f(v_x),v_g(v_x),t_b)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f9084,f4989]) ).

fof(f9090,plain,
    ( c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b) = c_minus(v_f(v_x),v_g(v_x),t_b)
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f5132,f9089]) ).

fof(f9092,plain,
    ( ~ c_lessequals(v_k(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b)
    | spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f9090,f2538]) ).

fof(f9093,plain,
    ( ~ c_lessequals(v_k(v_x),c_minus(v_f(v_x),c_minus(v_g(v_x),v_g(v_x),t_b),t_b),t_b)
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f6159,f9092]) ).

fof(f9094,plain,
    ( ~ c_lessequals(v_k(v_x),c_minus(v_f(v_x),c_0,t_b),t_b)
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f68,f9093]) ).

fof(f9095,plain,
    ( ~ c_lessequals(v_k(v_x),v_f(v_x),t_b)
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f928,f9094]) ).

fof(f9096,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9095,f28]) ).

fof(f9097,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f9096]) ).

fof(f9098,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f78,f80,f9097]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ANA022-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 20:56:34 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Drodi V3.6.0
% 45.89/6.18  % Refutation found
% 45.89/6.18  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 45.89/6.18  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 46.81/6.29  % Elapsed time: 5.916824 seconds
% 46.81/6.29  % CPU time: 46.704545 seconds
% 46.81/6.29  % Total memory used: 458.652 MB
% 46.81/6.29  % Net memory used: 449.570 MB
%------------------------------------------------------------------------------