%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA026-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:02:32 PM UTC 2026
% Result : Unsatisfiable 65.01s 8.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA026-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 13:26:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 65.01/8.67 % Refutation found
% 65.01/8.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 65.01/8.67 % SZS output start CNFRefutation for theBenchmark
% 65.01/8.67 fof(f1,negated_conjecture,(
% 65.01/8.67 (![V_U]: (c_lessequals(v_g(V_U),v_k(V_U),t_b) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f2,negated_conjecture,(
% 65.01/8.67 ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(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) ),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f3,negated_conjecture,(
% 65.01/8.67 class_Ring__and__Field_Oordered__idom(t_b) ),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f4,axiom,(
% 65.01/8.67 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,V_b,T_a) = c_plus(V_a,c_uminus(V_b,T_a),T_a) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f5,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f6,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f7,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f8,axiom,(
% 65.01/8.67 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| ~ c_lessequals(V_a,V_b,T_a)| c_lessequals(c_plus(V_c,V_a,T_a),c_plus(V_c,V_b,T_a),T_a) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f9,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f10,axiom,(
% 65.01/8.67 (![T_a,V_y]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_plus(c_0,V_y,T_a) = V_y ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f11,axiom,(
% 65.01/8.67 (![T_a,V_c,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(c_plus(V_c,V_b,T_a),V_b,T_a) = V_c ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f12,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f13,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f16,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f17,axiom,(
% 65.01/8.67 (![T_a,V_a]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,V_a,T_a) = c_0 ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f18,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f19,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f20,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f21,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f22,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f23,axiom,(
% 65.01/8.67 (![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) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f24,axiom,(
% 65.01/8.67 (![T]: (( ~ class_LOrder_Ojoin__semilorder(T)| class_Orderings_Oorder(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f25,axiom,(
% 65.01/8.67 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f26,axiom,(
% 65.01/8.67 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f27,axiom,(
% 65.01/8.67 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Ocomm__monoid__add(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f28,axiom,(
% 65.01/8.67 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f29,axiom,(
% 65.01/8.67 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_LOrder_Ojoin__semilorder(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f30,axiom,(
% 65.01/8.67 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f31,axiom,(
% 65.01/8.67 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 65.01/8.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 65.01/8.67 fof(f32,plain,(
% 65.01/8.67 ![X0]: (c_lessequals(v_g(X0),v_k(X0),t_b))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f1])).
% 65.01/8.67 fof(f33,plain,(
% 65.01/8.67 ~c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(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)),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f2])).
% 65.01/8.67 fof(f34,plain,(
% 65.01/8.67 class_Ring__and__Field_Oordered__idom(t_b)),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f3])).
% 65.01/8.67 fof(f35,plain,(
% 65.01/8.67 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: c_minus(V_a,V_b,T_a)=c_plus(V_a,c_uminus(V_b,T_a),T_a)))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f4])).
% 65.01/8.67 fof(f36,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,X2,X0)=c_plus(X1,c_uminus(X2,X0),X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f35])).
% 65.01/8.67 fof(f37,plain,(
% 65.01/8.67 ![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)))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f5])).
% 65.01/8.67 fof(f38,plain,(
% 65.01/8.67 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f37])).
% 65.01/8.67 fof(f39,plain,(
% 65.01/8.67 ![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)))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f6])).
% 65.01/8.67 fof(f40,plain,(
% 65.01/8.67 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_HOL_Oabs(c_uminus(X1,X0),X0)=c_HOL_Oabs(X1,X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f39])).
% 65.01/8.67 fof(f41,plain,(
% 65.01/8.67 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_lessequals(X1,c_0,X0)|c_HOL_Oabs(X1,X0)=c_uminus(X1,X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f7])).
% 65.01/8.67 fof(f42,plain,(
% 65.01/8.67 ![T_a,V_a,V_b]: ((~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|~c_lessequals(V_a,V_b,T_a))|(![V_c]: c_lessequals(c_plus(V_c,V_a,T_a),c_plus(V_c,V_b,T_a),T_a)))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f8])).
% 65.01/8.67 fof(f43,plain,(
% 65.01/8.67 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|~c_lessequals(X1,X2,X0)|c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f42])).
% 65.01/8.67 fof(f44,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f9])).
% 65.01/8.67 fof(f45,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f44])).
% 65.01/8.67 fof(f46,plain,(
% 65.01/8.67 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_y]: c_plus(c_0,V_y,T_a)=V_y))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f10])).
% 65.01/8.67 fof(f47,plain,(
% 65.01/8.67 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_plus(c_0,X1,X0)=X1)),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f46])).
% 65.01/8.67 fof(f48,plain,(
% 65.01/8.67 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_c,V_b]: c_minus(c_plus(V_c,V_b,T_a),V_b,T_a)=V_c))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f11])).
% 65.01/8.67 fof(f49,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(c_plus(X1,X2,X0),X2,X0)=X1)),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f48])).
% 65.01/8.67 fof(f50,plain,(
% 65.01/8.67 ![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)))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f12])).
% 65.01/8.67 fof(f51,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f50])).
% 65.01/8.67 fof(f52,plain,(
% 65.01/8.67 ![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)))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f13])).
% 65.01/8.67 fof(f53,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f52])).
% 65.01/8.67 fof(f57,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f16])).
% 65.01/8.67 fof(f58,plain,(
% 65.01/8.67 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a]: c_minus(V_a,V_a,T_a)=c_0))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f17])).
% 65.01/8.67 fof(f59,plain,(
% 65.01/8.67 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,X1,X0)=c_0)),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f58])).
% 65.01/8.67 fof(f60,plain,(
% 65.01/8.67 ![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)))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f18])).
% 65.01/8.67 fof(f61,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_uminus(c_minus(X1,X2,X0),X0)=c_minus(X2,X1,X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f60])).
% 65.01/8.67 fof(f62,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_less(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f19])).
% 65.01/8.67 fof(f63,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|~c_less(X1,X2,X0)|~c_lessequals(X2,X1,X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f20])).
% 65.01/8.67 fof(f64,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f21])).
% 65.01/8.67 fof(f65,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(miniscoping,[status(thm)],[f22])).
% 65.01/8.67 fof(f66,plain,(
% 65.01/8.67 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f65])).
% 65.01/8.67 fof(f67,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_less(X1,X2,X0)|c_lessequals(X1,X2,X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f23])).
% 65.01/8.67 fof(f68,plain,(
% 65.01/8.67 ![X0]: (~class_LOrder_Ojoin__semilorder(X0)|class_Orderings_Oorder(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f24])).
% 65.01/8.67 fof(f69,plain,(
% 65.01/8.67 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f25])).
% 65.01/8.67 fof(f70,plain,(
% 65.01/8.67 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f26])).
% 65.01/8.67 fof(f71,plain,(
% 65.01/8.67 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Ocomm__monoid__add(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f27])).
% 65.01/8.67 fof(f72,plain,(
% 65.01/8.67 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f28])).
% 65.01/8.67 fof(f73,plain,(
% 65.01/8.67 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_LOrder_Ojoin__semilorder(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f29])).
% 65.01/8.67 fof(f74,plain,(
% 65.01/8.67 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f30])).
% 65.01/8.67 fof(f75,plain,(
% 65.01/8.67 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 65.01/8.67 inference(cnf_transformation,[status(thm)],[f31])).
% 65.01/8.67 fof(f76,plain,(
% 65.01/8.67 class_OrderedGroup_Oab__group__add(t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f74,f34])).
% 65.01/8.67 fof(f77,plain,(
% 65.01/8.67 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f75,f34])).
% 65.01/8.67 fof(f78,plain,(
% 65.01/8.67 ![X0]: (c_minus(X0,X0,t_b)=c_0)),
% 65.01/8.67 inference(resolution,[status(thm)],[f59,f76])).
% 65.01/8.67 fof(f79,plain,(
% 65.01/8.67 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f69,f77])).
% 65.01/8.67 fof(f80,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(X0,X1,t_b)=c_plus(X0,c_uminus(X1,t_b),t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f36,f76])).
% 65.01/8.67 fof(f81,plain,(
% 65.01/8.67 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f70,f77])).
% 65.01/8.67 fof(f82,plain,(
% 65.01/8.67 class_OrderedGroup_Ocomm__monoid__add(t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f71,f34])).
% 65.01/8.67 fof(f83,plain,(
% 65.01/8.67 class_Orderings_Olinorder(t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f72,f34])).
% 65.01/8.67 fof(f84,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(resolution,[status(thm)],[f83,f64])).
% 65.01/8.67 fof(f85,plain,(
% 65.01/8.67 class_LOrder_Ojoin__semilorder(t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f73,f34])).
% 65.01/8.67 fof(f86,plain,(
% 65.01/8.67 ![X0]: (c_plus(c_0,X0,t_b)=X0)),
% 65.01/8.67 inference(resolution,[status(thm)],[f47,f82])).
% 65.01/8.67 fof(f87,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(c_plus(X0,X1,t_b),X1,t_b)=X0)),
% 65.01/8.67 inference(resolution,[status(thm)],[f49,f76])).
% 65.01/8.67 fof(f89,plain,(
% 65.01/8.67 ![X0]: (c_HOL_Oabs(c_uminus(X0,t_b),t_b)=c_HOL_Oabs(X0,t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f40,f77])).
% 65.01/8.67 fof(f90,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_plus(X2,X0,t_b),c_plus(X2,X1,t_b),t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f43,f81])).
% 65.01/8.67 fof(f92,plain,(
% 65.01/8.67 ![X0]: (c_minus(c_0,X0,t_b)=c_uminus(X0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f86,f80])).
% 65.01/8.67 fof(f94,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(c_minus(X0,X1,t_b),c_uminus(X1,t_b),t_b)=X0)),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f80,f87])).
% 65.01/8.67 fof(f95,plain,(
% 65.01/8.67 c_0=c_uminus(c_0,t_b)),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f78,f92])).
% 65.01/8.67 fof(f97,plain,(
% 65.01/8.67 ![X0]: (c_minus(X0,c_0,t_b)=c_plus(X0,c_0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f95,f80])).
% 65.01/8.67 fof(f99,plain,(
% 65.01/8.67 ~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_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)),
% 65.01/8.67 inference(resolution,[status(thm)],[f84,f33])).
% 65.01/8.67 fof(f115,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(X0,c_uminus(X1,t_b),t_b)=c_plus(X0,X1,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f87,f94])).
% 65.01/8.67 fof(f117,plain,(
% 65.01/8.67 ![X0]: (c_minus(c_0,c_uminus(X0,t_b),t_b)=X0)),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f78,f94])).
% 65.01/8.67 fof(f119,plain,(
% 65.01/8.67 ![X0,X1]: (c_plus(c_minus(X0,X1,t_b),X1,t_b)=X0)),
% 65.01/8.67 inference(backward_demodulation,[status(thm)],[f115,f94])).
% 65.01/8.67 fof(f122,plain,(
% 65.01/8.67 ![X0]: (c_uminus(c_uminus(X0,t_b),t_b)=X0)),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f92,f117])).
% 65.01/8.67 fof(f130,plain,(
% 65.01/8.67 ![X0]: (c_plus(c_uminus(X0,t_b),X0,t_b)=c_0)),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f92,f119])).
% 65.01/8.67 fof(f164,plain,(
% 65.01/8.67 ![X0,X1]: (c_lessequals(c_plus(X0,c_0,t_b),c_plus(X0,c_HOL_Oabs(X1,t_b),t_b),t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f90,f38])).
% 65.01/8.67 fof(f165,plain,(
% 65.01/8.67 ![X0,X1]: (c_lessequals(c_plus(X0,v_g(X1),t_b),c_plus(X0,v_k(X1),t_b),t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f90,f32])).
% 65.01/8.67 fof(f166,plain,(
% 65.01/8.67 ![X0,X1]: (c_lessequals(c_plus(X0,c_0,t_b),c_plus(X0,c_HOL_Oabs(X1,t_b),t_b),t_b))),
% 65.01/8.67 inference(forward_subsumption_resolution,[status(thm)],[f164,f77])).
% 65.01/8.67 fof(f168,plain,(
% 65.01/8.67 ![X0,X1]: (c_less(X0,X1,t_b)|c_lessequals(X1,X0,t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f62,f83])).
% 65.01/8.67 fof(f172,plain,(
% 65.01/8.67 ![X0]: (c_less(c_0,X0,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b)|c_HOL_Oabs(X0,t_b)=c_uminus(X0,t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f168,f41])).
% 65.01/8.67 fof(f174,plain,(
% 65.01/8.67 ![X0]: (c_less(c_0,X0,t_b)|c_HOL_Oabs(X0,t_b)=c_uminus(X0,t_b))),
% 65.01/8.67 inference(forward_subsumption_resolution,[status(thm)],[f172,f77])).
% 65.01/8.67 fof(f175,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(c_minus(X0,X1,t_b),t_b)=c_minus(X1,X0,t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f61,f76])).
% 65.01/8.67 fof(f176,plain,(
% 65.01/8.67 ![X0]: (c_uminus(c_uminus(X0,t_b),t_b)=c_minus(X0,c_0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f92,f175])).
% 65.01/8.67 fof(f177,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(X0,t_b)=c_minus(X1,c_plus(X0,X1,t_b),t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f87,f175])).
% 65.01/8.67 fof(f178,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(c_plus(X0,X1,t_b),t_b)=c_minus(c_uminus(X1,t_b),X0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f115,f175])).
% 65.01/8.67 fof(f181,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f175,f115])).
% 65.01/8.67 fof(f182,plain,(
% 65.01/8.67 ![X0,X1]: (c_plus(c_minus(X0,X1,t_b),c_minus(X1,X0,t_b),t_b)=c_0)),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f175,f130])).
% 65.01/8.67 fof(f186,plain,(
% 65.01/8.67 ![X0]: (X0=c_plus(X0,c_0,t_b))),
% 65.01/8.67 inference(backward_demodulation,[status(thm)],[f187,f97])).
% 65.01/8.67 fof(f187,plain,(
% 65.01/8.67 ![X0]: (X0=c_minus(X0,c_0,t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f122,f176])).
% 65.01/8.67 fof(f192,plain,(
% 65.01/8.67 ![X0,X1]: (c_lessequals(X0,c_plus(X0,c_HOL_Oabs(X1,t_b),t_b),t_b))),
% 65.01/8.67 inference(backward_demodulation,[status(thm)],[f186,f166])).
% 65.01/8.67 fof(f211,plain,(
% 65.01/8.67 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f86,f192])).
% 65.01/8.67 fof(f213,plain,(
% 65.01/8.67 ~c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)),
% 65.01/8.67 inference(backward_subsumption_resolution,[status(thm)],[f99,f211])).
% 65.01/8.67 fof(f234,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(resolution,[status(thm)],[f45,f81])).
% 65.01/8.67 fof(f235,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(resolution,[status(thm)],[f51,f76])).
% 65.01/8.67 fof(f238,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(resolution,[status(thm)],[f53,f76])).
% 65.01/8.67 fof(f240,plain,(
% 65.01/8.67 ![X0,X1]: (c_plus(X0,c_minus(c_minus(X1,X0,t_b),X1,t_b),t_b)=c_0)),
% 65.01/8.67 inference(backward_demodulation,[status(thm)],[f241,f182])).
% 65.01/8.67 fof(f241,plain,(
% 65.01/8.67 ![X0,X1,X2]: (c_plus(c_minus(X0,X1,t_b),X2,t_b)=c_plus(X0,c_minus(X2,X1,t_b),t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f235,f238])).
% 65.01/8.67 fof(f271,plain,(
% 65.01/8.67 ![X0]: (c_HOL_Oabs(X0,t_b)=c_uminus(X0,t_b)|~class_Orderings_Oorder(t_b)|c_lessequals(c_0,X0,t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f174,f67])).
% 65.01/8.67 fof(f288,plain,(
% 65.01/8.67 ![X0,X1]: (c_plus(c_uminus(X0,t_b),c_minus(X0,X1,t_b),t_b)=c_minus(c_0,X1,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f130,f235])).
% 65.01/8.67 fof(f291,plain,(
% 65.01/8.67 ![X0,X1,X2]: (c_plus(X0,c_minus(c_uminus(X1,t_b),X2,t_b),t_b)=c_minus(c_minus(X0,X1,t_b),X2,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f80,f235])).
% 65.01/8.67 fof(f301,plain,(
% 65.01/8.67 ![X0,X1]: (c_plus(c_uminus(X0,t_b),c_minus(X0,X1,t_b),t_b)=c_uminus(X1,t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f92,f288])).
% 65.01/8.67 fof(f303,plain,(
% 65.01/8.67 ![X0,X1,X2]: (c_plus(X0,c_uminus(c_plus(X1,X2,t_b),t_b),t_b)=c_minus(c_minus(X0,X2,t_b),X1,t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f178,f291])).
% 65.01/8.67 fof(f304,plain,(
% 65.01/8.67 ![X0,X1]: (c_plus(X0,c_minus(X1,c_plus(X1,X0,t_b),t_b),t_b)=c_0)),
% 65.01/8.67 inference(backward_demodulation,[status(thm)],[f305,f240])).
% 65.01/8.67 fof(f305,plain,(
% 65.01/8.67 ![X0,X1,X2]: (c_minus(X0,c_plus(X1,X2,t_b),t_b)=c_minus(c_minus(X0,X2,t_b),X1,t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f80,f303])).
% 65.01/8.67 fof(f320,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(X0,t_b)=c_minus(c_minus(X1,c_plus(X1,X0,t_b),t_b),c_0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f304,f177])).
% 65.01/8.67 fof(f341,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(X0,t_b)=c_minus(X1,c_plus(X1,X0,t_b),t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f187,f320])).
% 65.01/8.67 fof(f349,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(c_uminus(X0,t_b),t_b)=c_minus(X1,c_minus(X1,X0,t_b),t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f80,f341])).
% 65.01/8.67 fof(f357,plain,(
% 65.01/8.67 ![X0,X1]: (X0=c_minus(X1,c_minus(X1,X0,t_b),t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f122,f349])).
% 65.01/8.67 fof(f359,plain,(
% 65.01/8.67 ![X0,X1]: (X0=c_plus(X1,c_minus(X0,X1,t_b),t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f181,f357])).
% 65.01/8.67 fof(f412,plain,(
% 65.01/8.67 ![X0]: (c_lessequals(c_0,c_plus(c_uminus(v_g(X0),t_b),v_k(X0),t_b),t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f130,f165])).
% 65.01/8.67 fof(f421,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_plus(c_uminus(X1,t_b),X0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f115,f178])).
% 65.01/8.67 fof(f498,plain,(
% 65.01/8.67 ![X0,X1]: (c_uminus(c_minus(X0,X1,t_b),t_b)=c_minus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f301,f341])).
% 65.01/8.67 fof(f521,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(X0,X1,t_b)=c_minus(c_uminus(X1,t_b),c_uminus(X0,t_b),t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f175,f498])).
% 65.01/8.67 fof(f522,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(X0,X1,t_b)=c_plus(c_uminus(X1,t_b),X0,t_b))),
% 65.01/8.67 inference(backward_demodulation,[status(thm)],[f523,f421])).
% 65.01/8.67 fof(f523,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(X0,X1,t_b)=c_uminus(c_plus(c_uminus(X0,t_b),X1,t_b),t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f178,f521])).
% 65.01/8.67 fof(f534,plain,(
% 65.01/8.67 ![X0]: (c_lessequals(c_0,c_minus(v_k(X0),v_g(X0),t_b),t_b))),
% 65.01/8.67 inference(backward_demodulation,[status(thm)],[f522,f412])).
% 65.01/8.67 fof(f611,plain,(
% 65.01/8.67 ![X0,X1]: (c_minus(X0,c_uminus(X1,t_b),t_b)=c_plus(X1,X0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f122,f522])).
% 65.01/8.67 fof(f650,plain,(
% 65.01/8.67 ![X0,X1]: (c_lessequals(c_plus(X0,c_0,t_b),c_plus(X0,c_minus(v_k(X1),v_g(X1),t_b),t_b),t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f534,f90])).
% 65.01/8.67 fof(f651,plain,(
% 65.01/8.67 ![X0,X1]: (c_lessequals(X0,c_plus(X0,c_minus(v_k(X1),v_g(X1),t_b),t_b),t_b))),
% 65.01/8.67 inference(forward_demodulation,[status(thm)],[f186,f650])).
% 65.01/8.67 fof(f655,plain,(
% 65.01/8.67 ![X0,X1]: (c_plus(X0,X1,t_b)=c_plus(X1,X0,t_b))),
% 65.01/8.67 inference(paramodulation,[status(thm)],[f115,f611])).
% 65.01/8.67 fof(f736,plain,(
% 65.01/8.67 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,X2)|~c_lessequals(X3,X0,X2)|c_lessequals(X3,X1,X2)|~class_LOrder_Ojoin__semilorder(X2))),
% 65.01/8.67 inference(resolution,[status(thm)],[f66,f68])).
% 65.01/8.67 fof(f737,plain,(
% 65.01/8.67 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(X2,X0,t_b)|c_lessequals(X2,X1,t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f736,f85])).
% 65.01/8.67 fof(f838,plain,(
% 65.01/8.67 ![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))),
% 65.01/8.67 inference(resolution,[status(thm)],[f57,f79])).
% 65.01/8.67 fof(f924,plain,(
% 65.01/8.67 ![X0]: (~c_lessequals(X0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)|~c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),X0,t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f213,f737])).
% 65.01/8.67 fof(f1058,plain,(
% 65.01/8.67 ![X0]: (c_HOL_Oabs(X0,t_b)=c_uminus(X0,t_b)|c_lessequals(c_0,X0,t_b)|~class_LOrder_Ojoin__semilorder(t_b))),
% 65.01/8.67 inference(resolution,[status(thm)],[f271,f68])).
% 65.01/8.67 fof(f1059,plain,(
% 65.01/8.67 ![X0]: (c_HOL_Oabs(X0,t_b)=c_uminus(X0,t_b)|c_lessequals(c_0,X0,t_b))),
% 65.01/8.67 inference(forward_subsumption_resolution,[status(thm)],[f1058,f85])).
% 65.01/8.67 fof(f1101,plain,(
% 65.01/8.67 ![X0,X1]: (~c_lessequals(c_plus(X0,X1,t_b),X1,t_b)|c_lessequals(X0,c_0,t_b))),
% 45.39/8.74 inference(paramodulation,[status(thm)],[f86,f234])).
% 45.39/8.74 fof(f1229,plain,(
% 45.39/8.74 ![X0,X1]: (~c_lessequals(X0,c_minus(X0,X1,t_b),t_b)|c_lessequals(X1,c_0,t_b))),
% 45.39/8.74 inference(paramodulation,[status(thm)],[f359,f1101])).
% 45.39/8.74 fof(f1232,plain,(
% 45.39/8.74 ![X0,X1]: (~c_lessequals(c_plus(X0,X1,t_b),X0,t_b)|c_lessequals(X1,c_0,t_b))),
% 45.39/8.74 inference(paramodulation,[status(thm)],[f655,f1101])).
% 45.39/8.74 fof(f1287,plain,(
% 45.39/8.74 ![X0]: (c_lessequals(X0,c_0,t_b)|c_HOL_Oabs(c_minus(c_0,X0,t_b),t_b)=c_uminus(c_minus(c_0,X0,t_b),t_b))),
% 45.39/8.74 inference(resolution,[status(thm)],[f1229,f1059])).
% 45.39/8.74 fof(f1301,plain,(
% 45.39/8.74 ![X0]: (c_lessequals(X0,c_0,t_b)|c_HOL_Oabs(c_uminus(X0,t_b),t_b)=c_uminus(c_minus(c_0,X0,t_b),t_b))),
% 45.39/8.74 inference(forward_demodulation,[status(thm)],[f92,f1287])).
% 45.39/8.74 fof(f1302,plain,(
% 45.39/8.74 ![X0]: (c_lessequals(X0,c_0,t_b)|c_HOL_Oabs(X0,t_b)=c_uminus(c_minus(c_0,X0,t_b),t_b))),
% 45.39/8.74 inference(forward_demodulation,[status(thm)],[f89,f1301])).
% 45.39/8.74 fof(f1303,plain,(
% 45.39/8.74 ![X0]: (c_lessequals(X0,c_0,t_b)|c_HOL_Oabs(X0,t_b)=c_minus(X0,c_0,t_b))),
% 45.39/8.74 inference(forward_demodulation,[status(thm)],[f175,f1302])).
% 45.39/8.74 fof(f1304,plain,(
% 45.39/8.74 ![X0]: (c_lessequals(X0,c_0,t_b)|c_HOL_Oabs(X0,t_b)=X0)),
% 45.39/8.74 inference(forward_demodulation,[status(thm)],[f187,f1303])).
% 45.39/8.74 fof(f1310,plain,(
% 45.39/8.74 ![X0,X1]: (c_HOL_Oabs(X0,t_b)=X0|c_lessequals(c_plus(X1,X0,t_b),c_plus(X1,c_0,t_b),t_b))),
% 45.39/8.74 inference(resolution,[status(thm)],[f1304,f90])).
% 45.39/8.74 fof(f1316,plain,(
% 45.39/8.74 ![X0,X1]: (c_HOL_Oabs(X0,t_b)=X0|c_lessequals(c_plus(X1,X0,t_b),X1,t_b))),
% 45.39/8.74 inference(forward_demodulation,[status(thm)],[f186,f1310])).
% 45.39/8.74 fof(f1921,plain,(
% 45.39/8.74 ![X0,X1]: (c_HOL_Oabs(c_minus(X0,X1,t_b),t_b)=c_minus(X0,X1,t_b)|c_lessequals(X0,X1,t_b))),
% 45.39/8.74 inference(paramodulation,[status(thm)],[f359,f1316])).
% 45.39/8.74 fof(f2007,plain,(
% 45.39/8.74 ![X0,X1]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X1,t_b),c_0,t_b))),
% 45.39/8.74 inference(paramodulation,[status(thm)],[f359,f1232])).
% 45.39/8.74 fof(f2140,plain,(
% 45.39/8.74 ~c_lessequals(v_f(v_x),c_plus(c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),v_k(v_x),t_b),t_b)),
% 45.39/8.74 inference(resolution,[status(thm)],[f838,f213])).
% 45.39/8.74 fof(f3392,plain,(
% 45.39/8.74 ~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(v_f(v_x),v_k(v_x),t_b)),
% 45.39/8.74 inference(resolution,[status(thm)],[f924,f2007])).
% 45.39/8.74 fof(f3412,plain,(
% 45.39/8.74 ~c_lessequals(v_f(v_x),v_k(v_x),t_b)),
% 45.39/8.74 inference(forward_subsumption_resolution,[status(thm)],[f3392,f211])).
% 45.39/8.74 fof(f3424,plain,(
% 45.39/8.74 ![X0]: (~c_lessequals(X0,v_k(v_x),t_b)|~c_lessequals(v_f(v_x),X0,t_b))),
% 45.39/8.74 inference(resolution,[status(thm)],[f3412,f737])).
% 45.39/8.74 fof(f3445,plain,(
% 45.39/8.74 ![X0]: (~c_lessequals(X0,v_k(v_x),t_b)|c_less(X0,v_f(v_x),t_b))),
% 45.39/8.74 inference(resolution,[status(thm)],[f3424,f168])).
% 45.39/8.74 fof(f3459,plain,(
% 45.39/8.74 c_less(v_g(v_x),v_f(v_x),t_b)),
% 45.39/8.74 inference(resolution,[status(thm)],[f3445,f32])).
% 45.39/8.74 fof(f3464,plain,(
% 45.39/8.74 ~class_Orderings_Olinorder(t_b)|~c_lessequals(v_f(v_x),v_g(v_x),t_b)),
% 45.39/8.74 inference(resolution,[status(thm)],[f3459,f63])).
% 45.39/8.74 fof(f3465,plain,(
% 45.39/8.74 ~c_lessequals(v_f(v_x),v_g(v_x),t_b)),
% 45.39/8.74 inference(forward_subsumption_resolution,[status(thm)],[f3464,f83])).
% 45.39/8.74 fof(f24445,plain,(
% 45.39/8.74 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)),
% 45.39/8.74 inference(resolution,[status(thm)],[f1921,f3465])).
% 45.39/8.74 fof(f24536,plain,(
% 45.39/8.74 ~c_lessequals(v_f(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_k(v_x),t_b),t_b)),
% 45.39/8.74 inference(backward_demodulation,[status(thm)],[f24445,f2140])).
% 45.39/8.74 fof(f24957,plain,(
% 45.39/8.74 ~c_lessequals(v_f(v_x),c_plus(v_f(v_x),c_minus(v_k(v_x),v_g(v_x),t_b),t_b),t_b)),
% 45.39/8.74 inference(forward_demodulation,[status(thm)],[f241,f24536])).
% 45.39/8.74 fof(f24958,plain,(
% 45.39/8.74 $false),
% 45.39/8.74 inference(forward_subsumption_resolution,[status(thm)],[f24957,f651])).
% 45.39/8.74 % SZS output end CNFRefutation for theBenchmark.p
% 45.39/8.75 % Elapsed time: 8.367832 seconds
% 45.39/8.75 % CPU time: 66.043905 seconds
% 45.39/8.75 % Total memory used: 474.821 MB
% 45.39/8.75 % Net memory used: 422.135 MB
%------------------------------------------------------------------------------