%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA022-2 : 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 : n019.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 12:02:31 PM UTC 2026
% Result : Unsatisfiable 18.95s 2.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA022-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 13:24:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 18.95/2.88 % Refutation found
% 18.95/2.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.95/2.88 % SZS output start CNFRefutation for theBenchmark
% 18.95/2.88 fof(f1,negated_conjecture,(
% 18.95/2.88 (![V_U]: (c_lessequals(v_k(V_U),v_f(V_U),t_b) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f2,negated_conjecture,(
% 18.95/2.88 ~ 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) ),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f3,negated_conjecture,(
% 18.95/2.88 class_Ring__and__Field_Oordered__idom(t_b) ),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f4,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f5,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f6,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f7,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f8,axiom,(
% 18.95/2.88 (![T_a,V_y]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_plus(c_0,V_y,T_a) = V_y ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f9,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f10,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f11,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f12,axiom,(
% 18.95/2.88 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)| ~ c_lessequals(V_a,V_b,T_a)| c_lessequals(c_minus(V_a,V_b,T_a),c_0,T_a) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f13,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f14,axiom,(
% 18.95/2.88 (![T_a,V_a]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,V_a,T_a) = c_0 ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f15,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f16,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f17,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f18,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f19,axiom,(
% 18.95/2.88 (![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) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f20,axiom,(
% 18.95/2.88 (![T]: (( ~ class_LOrder_Ojoin__semilorder(T)| class_Orderings_Oorder(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f21,axiom,(
% 18.95/2.88 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f22,axiom,(
% 18.95/2.88 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f23,axiom,(
% 18.95/2.88 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Ocomm__monoid__add(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f24,axiom,(
% 18.95/2.88 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f25,axiom,(
% 18.95/2.88 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_LOrder_Ojoin__semilorder(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f26,axiom,(
% 18.95/2.88 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f27,axiom,(
% 18.95/2.88 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 18.95/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.95/2.88 fof(f28,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(v_k(X0),v_f(X0),t_b))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f1])).
% 18.95/2.88 fof(f29,plain,(
% 18.95/2.88 ~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)),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f2])).
% 18.95/2.88 fof(f30,plain,(
% 18.95/2.88 class_Ring__and__Field_Oordered__idom(t_b)),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f3])).
% 18.95/2.88 fof(f31,plain,(
% 18.95/2.88 ![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)))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f4])).
% 18.95/2.88 fof(f32,plain,(
% 18.95/2.88 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f31])).
% 18.95/2.88 fof(f33,plain,(
% 18.95/2.88 ![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)))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f5])).
% 18.95/2.88 fof(f34,plain,(
% 18.95/2.88 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_HOL_Oabs(c_uminus(X1,X0),X0)=c_HOL_Oabs(X1,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f33])).
% 18.95/2.88 fof(f35,plain,(
% 18.95/2.88 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_lessequals(X1,c_0,X0)|c_HOL_Oabs(X1,X0)=c_uminus(X1,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f6])).
% 18.95/2.88 fof(f36,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f7])).
% 18.95/2.88 fof(f37,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f36])).
% 18.95/2.88 fof(f38,plain,(
% 18.95/2.88 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_y]: c_plus(c_0,V_y,T_a)=V_y))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f8])).
% 18.95/2.88 fof(f39,plain,(
% 18.95/2.88 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_plus(c_0,X1,X0)=X1)),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f38])).
% 18.95/2.88 fof(f40,plain,(
% 18.95/2.88 ![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)))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f9])).
% 18.95/2.88 fof(f41,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f40])).
% 18.95/2.88 fof(f42,plain,(
% 18.95/2.88 ![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)))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f10])).
% 18.95/2.88 fof(f43,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f42])).
% 18.95/2.88 fof(f44,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f11])).
% 18.95/2.88 fof(f45,plain,(
% 18.95/2.88 ![X0,X1,X2]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|~c_lessequals(X1,X2,X0)|c_lessequals(c_minus(X1,X2,X0),c_0,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f12])).
% 18.95/2.88 fof(f46,plain,(
% 18.95/2.88 ![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)))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f13])).
% 18.95/2.88 fof(f47,plain,(
% 18.95/2.88 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,c_uminus(X2,X0),X0)=c_plus(X1,X2,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f46])).
% 18.95/2.88 fof(f48,plain,(
% 18.95/2.88 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a]: c_minus(V_a,V_a,T_a)=c_0))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f14])).
% 18.95/2.88 fof(f49,plain,(
% 18.95/2.88 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,X1,X0)=c_0)),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f48])).
% 18.95/2.88 fof(f50,plain,(
% 18.95/2.88 ![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)))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f15])).
% 18.95/2.88 fof(f51,plain,(
% 18.95/2.88 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_uminus(c_minus(X1,X2,X0),X0)=c_minus(X2,X1,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f50])).
% 18.95/2.88 fof(f52,plain,(
% 18.95/2.88 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_less(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f16])).
% 18.95/2.88 fof(f53,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f17])).
% 18.95/2.88 fof(f54,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(miniscoping,[status(thm)],[f18])).
% 18.95/2.88 fof(f55,plain,(
% 18.95/2.88 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f54])).
% 18.95/2.88 fof(f56,plain,(
% 18.95/2.88 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_less(X1,X2,X0)|c_lessequals(X1,X2,X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f19])).
% 18.95/2.88 fof(f57,plain,(
% 18.95/2.88 ![X0]: (~class_LOrder_Ojoin__semilorder(X0)|class_Orderings_Oorder(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f20])).
% 18.95/2.88 fof(f58,plain,(
% 18.95/2.88 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f21])).
% 18.95/2.88 fof(f59,plain,(
% 18.95/2.88 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f22])).
% 18.95/2.88 fof(f60,plain,(
% 18.95/2.88 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Ocomm__monoid__add(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f23])).
% 18.95/2.88 fof(f61,plain,(
% 18.95/2.88 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f24])).
% 18.95/2.88 fof(f62,plain,(
% 18.95/2.88 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_LOrder_Ojoin__semilorder(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f25])).
% 18.95/2.88 fof(f63,plain,(
% 18.95/2.88 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f26])).
% 18.95/2.88 fof(f64,plain,(
% 18.95/2.88 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 18.95/2.88 inference(cnf_transformation,[status(thm)],[f27])).
% 18.95/2.88 fof(f65,plain,(
% 18.95/2.88 ![X0,X1]: (c_minus(X0,X0,X1)=c_0|~class_Ring__and__Field_Oordered__idom(X1))),
% 18.95/2.88 inference(resolution,[status(thm)],[f49,f63])).
% 18.95/2.88 fof(f66,plain,(
% 18.95/2.88 ![X0]: (c_minus(X0,X0,t_b)=c_0)),
% 18.95/2.88 inference(resolution,[status(thm)],[f65,f30])).
% 18.95/2.88 fof(f67,plain,(
% 18.95/2.88 ![X0]: (class_OrderedGroup_Opordered__ab__group__add(X0)|~class_Ring__and__Field_Oordered__idom(X0))),
% 18.95/2.88 inference(resolution,[status(thm)],[f58,f64])).
% 18.95/2.88 fof(f68,plain,(
% 18.95/2.88 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 18.95/2.88 inference(resolution,[status(thm)],[f67,f30])).
% 18.95/2.88 fof(f69,plain,(
% 18.95/2.88 ![X0]: (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|~class_Ring__and__Field_Oordered__idom(X0))),
% 18.95/2.88 inference(resolution,[status(thm)],[f59,f64])).
% 18.95/2.88 fof(f70,plain,(
% 18.95/2.88 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)),
% 18.95/2.88 inference(resolution,[status(thm)],[f69,f30])).
% 18.95/2.88 fof(f71,plain,(
% 18.95/2.88 class_OrderedGroup_Ocomm__monoid__add(t_b)),
% 18.95/2.88 inference(resolution,[status(thm)],[f60,f30])).
% 18.95/2.88 fof(f72,plain,(
% 18.95/2.88 class_Orderings_Olinorder(t_b)),
% 18.95/2.88 inference(resolution,[status(thm)],[f61,f30])).
% 18.95/2.88 fof(f73,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(resolution,[status(thm)],[f72,f53])).
% 18.95/2.88 fof(f74,plain,(
% 18.95/2.88 ~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)),
% 18.95/2.88 inference(resolution,[status(thm)],[f73,f29])).
% 18.95/2.88 fof(f75,plain,(
% 18.95/2.88 class_LOrder_Ojoin__semilorder(t_b)),
% 18.95/2.88 inference(resolution,[status(thm)],[f62,f30])).
% 18.95/2.88 fof(f76,plain,(
% 18.95/2.88 class_Orderings_Oorder(t_b)),
% 18.95/2.88 inference(resolution,[status(thm)],[f57,f75])).
% 18.95/2.88 fof(f77,plain,(
% 18.95/2.88 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(X2,X0,t_b)|c_lessequals(X2,X1,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f76,f55])).
% 18.95/2.88 fof(f78,plain,(
% 18.95/2.88 ![X0,X1]: (~c_less(X0,X1,t_b)|c_lessequals(X0,X1,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f76,f56])).
% 18.95/2.88 fof(f79,plain,(
% 18.95/2.88 ![X0]: (c_plus(c_0,X0,t_b)=X0)),
% 18.95/2.88 inference(resolution,[status(thm)],[f39,f71])).
% 18.95/2.88 fof(f80,plain,(
% 18.95/2.88 ![X0,X1]: (c_less(X0,X1,t_b)|c_lessequals(X1,X0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f52,f72])).
% 18.95/2.88 fof(f82,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_uminus(X0,X1),X1)=c_HOL_Oabs(X0,X1)|~class_Ring__and__Field_Oordered__idom(X1))),
% 18.95/2.88 inference(resolution,[status(thm)],[f34,f64])).
% 18.95/2.88 fof(f83,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(c_uminus(X0,t_b),t_b)=c_HOL_Oabs(X0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f82,f30])).
% 18.95/2.88 fof(f85,plain,(
% 18.95/2.88 ![X0,X1,X2]: (c_minus(X0,c_uminus(X1,X2),X2)=c_plus(X0,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 18.95/2.88 inference(resolution,[status(thm)],[f47,f63])).
% 18.95/2.88 fof(f86,plain,(
% 18.95/2.88 ![X0,X1,X2]: (c_uminus(c_minus(X0,X1,X2),X2)=c_minus(X1,X0,X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 18.95/2.88 inference(resolution,[status(thm)],[f51,f63])).
% 18.95/2.88 fof(f87,plain,(
% 18.95/2.88 ![X0,X1]: (c_minus(X0,c_uminus(X1,t_b),t_b)=c_plus(X0,X1,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f85,f30])).
% 18.95/2.88 fof(f88,plain,(
% 18.95/2.88 ![X0,X1]: (c_uminus(c_minus(X0,X1,t_b),t_b)=c_minus(X1,X0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f86,f30])).
% 18.95/2.88 fof(f89,plain,(
% 18.95/2.88 ![X0,X1]: (~c_lessequals(X0,c_0,X1)|c_HOL_Oabs(X0,X1)=c_uminus(X0,X1)|~class_Ring__and__Field_Oordered__idom(X1))),
% 18.95/2.88 inference(resolution,[status(thm)],[f35,f64])).
% 18.95/2.88 fof(f90,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(resolution,[status(thm)],[f37,f70])).
% 18.95/2.88 fof(f91,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(resolution,[status(thm)],[f41,f63])).
% 18.95/2.88 fof(f92,plain,(
% 18.95/2.88 ![X0]: (c_0=c_plus(c_uminus(X0,t_b),X0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f66,f87])).
% 18.95/2.88 fof(f94,plain,(
% 18.95/2.88 ![X0,X1]: (c_uminus(c_plus(X0,X1,t_b),t_b)=c_minus(c_uminus(X1,t_b),X0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f87,f88])).
% 18.95/2.88 fof(f95,plain,(
% 18.95/2.88 ![X0]: (c_uminus(c_0,t_b)=c_minus(X0,X0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f66,f88])).
% 18.95/2.88 fof(f98,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_minus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_minus(X1,X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f88,f83])).
% 18.95/2.88 fof(f99,plain,(
% 18.95/2.88 c_uminus(c_0,t_b)=c_0),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f66,f95])).
% 18.95/2.88 fof(f101,plain,(
% 18.95/2.88 ![X0]: (c_minus(X0,c_0,t_b)=c_plus(X0,c_0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f99,f87])).
% 18.95/2.88 fof(f104,plain,(
% 18.95/2.88 ![X0]: (c_uminus(c_plus(X0,c_0,t_b),t_b)=c_minus(c_0,X0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f101,f88])).
% 18.95/2.88 fof(f111,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(c_minus(c_0,X0,t_b),t_b)=c_HOL_Oabs(c_plus(X0,c_0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f104,f83])).
% 18.95/2.88 fof(f119,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_minus(c_uminus(X1,t_b),X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f87,f98])).
% 18.95/2.88 fof(f129,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(c_plus(c_0,X0,t_b),t_b)=c_HOL_Oabs(c_plus(c_uminus(X0,t_b),c_0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f87,f111])).
% 18.95/2.88 fof(f134,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(X0,t_b)=c_HOL_Oabs(c_plus(c_uminus(X0,t_b),c_0,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f79,f129])).
% 18.95/2.88 fof(f138,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_minus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_minus(X1,X0,t_b),c_0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f88,f134])).
% 18.95/2.88 fof(f143,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_uminus(X1,t_b),X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f87,f119])).
% 18.95/2.88 fof(f153,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_minus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_plus(X1,X0,t_b),c_0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f87,f138])).
% 18.95/2.88 fof(f157,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_plus(X0,X1,t_b),c_0,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f119,f153])).
% 18.95/2.88 fof(f160,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(c_plus(c_0,X0,t_b),t_b)=c_HOL_Oabs(c_plus(X0,c_0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f79,f157])).
% 18.95/2.88 fof(f163,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(X0,t_b)=c_HOL_Oabs(c_plus(X0,c_0,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f79,f160])).
% 18.95/2.88 fof(f184,plain,(
% 18.95/2.88 ![X0]: (~c_lessequals(X0,c_0,t_b)|c_HOL_Oabs(X0,t_b)=c_uminus(X0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f89,f30])).
% 18.95/2.88 fof(f185,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(resolution,[status(thm)],[f91,f30])).
% 18.95/2.88 fof(f405,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(resolution,[status(thm)],[f43,f63])).
% 18.95/2.88 fof(f406,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(resolution,[status(thm)],[f44,f68])).
% 18.95/2.88 fof(f407,plain,(
% 18.95/2.88 ![X0,X1]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X1,t_b),c_0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f45,f68])).
% 18.95/2.88 fof(f475,plain,(
% 18.95/2.88 ![X0,X1,X2]: (c_plus(X0,c_minus(X1,c_uminus(X2,t_b),t_b),t_b)=c_plus(c_plus(X0,X1,t_b),X2,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f87,f185])).
% 18.95/2.88 fof(f490,plain,(
% 18.95/2.88 ![X0,X1,X2]: (c_HOL_Oabs(c_minus(X0,c_plus(X1,X2,t_b),t_b),t_b)=c_HOL_Oabs(c_plus(X1,c_minus(X2,X0,t_b),t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f185,f98])).
% 18.95/2.88 fof(f495,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f87,f475])).
% 18.95/2.88 fof(f616,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(resolution,[status(thm)],[f405,f30])).
% 18.95/2.88 fof(f617,plain,(
% 18.95/2.88 ![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))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f185,f616])).
% 18.95/2.88 fof(f639,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_minus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_plus(X0,c_minus(c_0,X1,t_b),t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f617,f163])).
% 18.95/2.88 fof(f700,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_minus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_uminus(c_minus(c_0,X1,t_b),t_b),X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f143,f639])).
% 18.95/2.88 fof(f720,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_uminus(c_minus(c_0,X0,t_b),t_b),X1,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f119,f700])).
% 18.95/2.88 fof(f721,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_minus(X0,c_0,t_b),X1,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f88,f720])).
% 18.95/2.88 fof(f722,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_plus(X0,c_minus(X1,c_0,t_b),t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f617,f721])).
% 18.95/2.88 fof(f723,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(X0,X1,t_b),t_b)=c_HOL_Oabs(c_plus(X0,c_plus(X1,c_0,t_b),t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f101,f722])).
% 18.95/2.88 fof(f752,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_uminus(c_plus(X1,c_0,t_b),t_b),X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f143,f723])).
% 18.95/2.88 fof(f770,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_minus(c_0,X1,t_b),X0,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f104,f752])).
% 18.95/2.88 fof(f771,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_plus(c_0,c_minus(X0,X1,t_b),t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f617,f770])).
% 18.95/2.88 fof(f772,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_minus(X0,X1,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f79,f771])).
% 18.95/2.88 fof(f818,plain,(
% 18.95/2.88 ![X0,X1]: (c_HOL_Oabs(c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_HOL_Oabs(c_minus(X1,X0,t_b),t_b))),
% 18.95/2.88 inference(backward_demodulation,[status(thm)],[f772,f143])).
% 18.95/2.88 fof(f1030,plain,(
% 18.95/2.88 ![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_k(v_x),v_g(v_x),t_b),X0,t_b)|~c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f77,f74])).
% 18.95/2.88 fof(f1038,plain,(
% 18.95/2.88 ![X0,X1]: (~c_lessequals(X0,c_plus(X1,X0,t_b),t_b)|c_lessequals(c_0,X1,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f79,f90])).
% 18.95/2.88 fof(f1047,plain,(
% 18.95/2.88 ![X0]: (~c_lessequals(X0,X0,t_b)|c_lessequals(c_0,c_0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f79,f1038])).
% 18.95/2.88 fof(f1048,plain,(
% 18.95/2.88 ![X0]: (~c_lessequals(X0,X0,t_b)|c_HOL_Oabs(c_0,t_b)=c_uminus(c_0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f1047,f184])).
% 18.95/2.88 fof(f1049,plain,(
% 18.95/2.88 ![X0]: (~c_lessequals(X0,X0,t_b)|c_HOL_Oabs(c_0,t_b)=c_0)),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f99,f1048])).
% 18.95/2.88 fof(f1053,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(c_0,t_b)=c_0|c_less(X0,X0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f1049,f80])).
% 18.95/2.88 fof(f1054,plain,(
% 18.95/2.88 ![X0]: (c_HOL_Oabs(c_0,t_b)=c_0|c_lessequals(X0,X0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f1053,f78])).
% 18.95/2.88 fof(f1055,plain,(
% 18.95/2.88 c_HOL_Oabs(c_0,t_b)=c_0),
% 18.95/2.88 inference(forward_subsumption_resolution,[status(thm)],[f1054,f1049])).
% 18.95/2.88 fof(f1064,plain,(
% 18.95/2.88 ~class_OrderedGroup_Olordered__ab__group__abs(t_b)|c_lessequals(c_0,c_0,t_b)),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f1055,f32])).
% 18.95/2.88 fof(f1069,plain,(
% 18.95/2.88 ![X0]: (c_uminus(c_plus(c_0,X0,t_b),t_b)=c_plus(c_uminus(X0,t_b),c_0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f101,f94])).
% 18.95/2.88 fof(f1083,plain,(
% 18.95/2.88 ![X0]: (c_uminus(X0,t_b)=c_plus(c_uminus(X0,t_b),c_0,t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f79,f1069])).
% 18.95/2.88 fof(f1099,plain,(
% 18.95/2.88 ![X0]: (c_uminus(c_uminus(X0,t_b),t_b)=c_minus(c_0,c_uminus(X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f1083,f104])).
% 18.95/2.88 fof(f1114,plain,(
% 18.95/2.88 ![X0]: (c_uminus(c_uminus(X0,t_b),t_b)=c_plus(c_0,X0,t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f87,f1099])).
% 18.95/2.88 fof(f1115,plain,(
% 18.95/2.88 ![X0]: (c_uminus(c_uminus(X0,t_b),t_b)=X0)),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f79,f1114])).
% 18.95/2.88 fof(f1125,plain,(
% 18.95/2.88 ![X0]: (c_uminus(c_uminus(X0,t_b),t_b)=c_plus(X0,c_0,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f1115,f1083])).
% 18.95/2.88 fof(f1131,plain,(
% 18.95/2.88 ![X0]: (c_0=c_plus(X0,c_uminus(X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f1115,f92])).
% 18.95/2.88 fof(f1135,plain,(
% 18.95/2.88 ![X0]: (X0=c_plus(X0,c_0,t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f1115,f1125])).
% 18.95/2.88 fof(f1143,plain,(
% 18.95/2.88 ![X0]: (c_uminus(X0,t_b)=c_minus(c_0,X0,t_b))),
% 18.95/2.88 inference(backward_demodulation,[status(thm)],[f1135,f104])).
% 18.95/2.88 fof(f1144,plain,(
% 18.95/2.88 ![X0]: (c_minus(X0,c_0,t_b)=X0)),
% 18.95/2.88 inference(backward_demodulation,[status(thm)],[f1135,f101])).
% 18.95/2.88 fof(f1388,plain,(
% 18.95/2.88 ![X0,X1,X2,X3]: (c_lessequals(c_minus(X0,X1,t_b),X2,t_b)|~c_lessequals(X3,c_plus(X2,X1,t_b),t_b)|~c_lessequals(X0,X3,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f406,f77])).
% 18.95/2.88 fof(f1469,plain,(
% 18.95/2.88 ![X0,X1]: (c_plus(X0,c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=c_plus(c_0,X1,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f1131,f495])).
% 18.95/2.88 fof(f1490,plain,(
% 18.95/2.88 ![X0,X1]: (c_plus(X0,c_plus(c_uminus(X0,t_b),X1,t_b),t_b)=X1)),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f79,f1469])).
% 18.95/2.88 fof(f1510,plain,(
% 18.95/2.88 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,c_plus(c_uminus(X2,t_b),X1,t_b),t_b),X2,t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f1490,f406])).
% 18.95/2.88 fof(f1947,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(c_minus(c_0,c_plus(c_uminus(X0,t_b),c_0,t_b),t_b),X0,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f1510,f1064])).
% 18.95/2.88 fof(f1949,plain,(
% 18.95/2.88 ![X0,X1]: (c_lessequals(c_minus(c_0,c_plus(c_uminus(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),t_b),X0,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f1510,f32])).
% 18.95/2.88 fof(f1962,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(c_uminus(c_plus(c_uminus(X0,t_b),c_0,t_b),t_b),X0,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f1143,f1947])).
% 18.95/2.88 fof(f1963,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(c_uminus(c_uminus(X0,t_b),t_b),X0,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f1135,f1962])).
% 18.95/2.88 fof(f1964,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(X0,X0,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f1115,f1963])).
% 18.95/2.88 fof(f1968,plain,(
% 18.95/2.88 ![X0,X1]: (c_lessequals(c_uminus(c_plus(c_uminus(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),t_b),X0,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f1143,f1949])).
% 18.95/2.88 fof(f1972,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(X0,X0,t_b)|~class_Ring__and__Field_Oordered__idom(t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f1964,f64])).
% 18.95/2.88 fof(f1973,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(X0,X0,t_b))),
% 18.95/2.88 inference(forward_subsumption_resolution,[status(thm)],[f1972,f30])).
% 18.95/2.88 fof(f2269,plain,(
% 18.95/2.88 ![X0,X1]: (c_lessequals(c_uminus(c_plus(c_uminus(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),t_b),X0,t_b)|~class_Ring__and__Field_Oordered__idom(t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f1968,f64])).
% 18.95/2.88 fof(f2270,plain,(
% 18.95/2.88 ![X0,X1]: (c_lessequals(c_uminus(c_plus(c_uminus(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),t_b),X0,t_b))),
% 18.95/2.88 inference(forward_subsumption_resolution,[status(thm)],[f2269,f30])).
% 18.95/2.88 fof(f2275,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(c_uminus(c_0,t_b),c_HOL_Oabs(X0,t_b),t_b))),
% 18.95/2.88 inference(paramodulation,[status(thm)],[f92,f2270])).
% 18.95/2.88 fof(f2314,plain,(
% 18.95/2.88 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 18.95/2.88 inference(forward_demodulation,[status(thm)],[f99,f2275])).
% 18.95/2.88 fof(f2335,plain,(
% 18.95/2.88 ~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)),
% 18.95/2.88 inference(backward_subsumption_resolution,[status(thm)],[f74,f2314])).
% 18.95/2.88 fof(f4879,plain,(
% 18.95/2.88 ![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_k(v_x),v_g(v_x),t_b),X0,t_b))),
% 18.95/2.88 inference(forward_subsumption_resolution,[status(thm)],[f1030,f2314])).
% 18.95/2.88 fof(f4880,plain,(
% 18.95/2.88 ~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_k(v_x),v_g(v_x),t_b)),
% 18.95/2.88 inference(resolution,[status(thm)],[f4879,f407])).
% 18.95/2.88 fof(f4898,plain,(
% 18.95/2.88 ~c_lessequals(v_k(v_x),v_g(v_x),t_b)),
% 18.95/2.88 inference(forward_subsumption_resolution,[status(thm)],[f4880,f2314])).
% 18.95/2.88 fof(f4972,plain,(
% 18.95/2.88 ![X0]: (~c_lessequals(X0,v_g(v_x),t_b)|~c_lessequals(v_k(v_x),X0,t_b))),
% 18.95/2.88 inference(resolution,[status(thm)],[f4898,f77])).
% 18.95/2.90 fof(f4994,plain,(
% 18.95/2.90 ![X0]: (~c_lessequals(v_k(v_x),X0,t_b)|c_less(v_g(v_x),X0,t_b))),
% 18.95/2.90 inference(resolution,[status(thm)],[f4972,f80])).
% 18.95/2.90 fof(f4995,plain,(
% 18.95/2.90 c_less(v_g(v_x),v_f(v_x),t_b)),
% 18.95/2.90 inference(resolution,[status(thm)],[f4994,f28])).
% 18.95/2.90 fof(f5013,plain,(
% 18.95/2.90 c_lessequals(v_g(v_x),v_f(v_x),t_b)),
% 18.95/2.90 inference(resolution,[status(thm)],[f4995,f78])).
% 18.95/2.90 fof(f5021,plain,(
% 18.95/2.90 ![X0]: (c_lessequals(c_minus(v_g(v_x),c_plus(c_uminus(X0,t_b),v_f(v_x),t_b),t_b),X0,t_b))),
% 18.95/2.90 inference(resolution,[status(thm)],[f5013,f1510])).
% 18.95/2.90 fof(f6212,plain,(
% 18.95/2.90 c_HOL_Oabs(c_minus(v_g(v_x),c_plus(c_uminus(c_0,t_b),v_f(v_x),t_b),t_b),t_b)=c_uminus(c_minus(v_g(v_x),c_plus(c_uminus(c_0,t_b),v_f(v_x),t_b),t_b),t_b)),
% 18.95/2.90 inference(resolution,[status(thm)],[f5021,f184])).
% 18.95/2.90 fof(f6239,plain,(
% 18.95/2.90 c_HOL_Oabs(c_plus(c_uminus(c_0,t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)=c_uminus(c_minus(v_g(v_x),c_plus(c_uminus(c_0,t_b),v_f(v_x),t_b),t_b),t_b)),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f490,f6212])).
% 18.95/2.90 fof(f6240,plain,(
% 18.95/2.90 c_HOL_Oabs(c_minus(c_minus(v_f(v_x),v_g(v_x),t_b),c_0,t_b),t_b)=c_uminus(c_minus(v_g(v_x),c_plus(c_uminus(c_0,t_b),v_f(v_x),t_b),t_b),t_b)),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f818,f6239])).
% 18.95/2.90 fof(f6241,plain,(
% 18.95/2.90 c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)=c_uminus(c_minus(v_g(v_x),c_plus(c_uminus(c_0,t_b),v_f(v_x),t_b),t_b),t_b)),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f1144,f6240])).
% 18.95/2.90 fof(f6242,plain,(
% 18.95/2.90 c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)=c_minus(c_plus(c_uminus(c_0,t_b),v_f(v_x),t_b),v_g(v_x),t_b)),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f88,f6241])).
% 18.95/2.90 fof(f6243,plain,(
% 18.95/2.90 c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)=c_plus(c_uminus(c_0,t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f185,f6242])).
% 18.95/2.90 fof(f6244,plain,(
% 18.95/2.90 c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)=c_plus(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f99,f6243])).
% 18.95/2.90 fof(f6245,plain,(
% 18.95/2.90 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)),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f79,f6244])).
% 18.95/2.90 fof(f8172,plain,(
% 18.95/2.90 ~c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 18.95/2.90 inference(backward_demodulation,[status(thm)],[f6245,f2335])).
% 18.95/2.90 fof(f16591,plain,(
% 18.95/2.90 ![X0]: (~c_lessequals(X0,c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b)|~c_lessequals(v_k(v_x),X0,t_b))),
% 18.95/2.90 inference(resolution,[status(thm)],[f1388,f8172])).
% 18.95/2.90 fof(f16625,plain,(
% 18.95/2.90 ![X0]: (~c_lessequals(X0,c_plus(v_f(v_x),c_minus(v_g(v_x),v_g(v_x),t_b),t_b),t_b)|~c_lessequals(v_k(v_x),X0,t_b))),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f617,f16591])).
% 18.95/2.90 fof(f16626,plain,(
% 18.95/2.90 ![X0]: (~c_lessequals(X0,c_plus(v_f(v_x),c_0,t_b),t_b)|~c_lessequals(v_k(v_x),X0,t_b))),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f66,f16625])).
% 18.95/2.90 fof(f16627,plain,(
% 18.95/2.90 ![X0]: (~c_lessequals(X0,v_f(v_x),t_b)|~c_lessequals(v_k(v_x),X0,t_b))),
% 18.95/2.90 inference(forward_demodulation,[status(thm)],[f1135,f16626])).
% 18.95/2.90 fof(f16661,plain,(
% 18.95/2.90 ~c_lessequals(v_f(v_x),v_f(v_x),t_b)),
% 18.95/2.90 inference(resolution,[status(thm)],[f16627,f28])).
% 18.95/2.90 fof(f16696,plain,(
% 18.95/2.90 $false),
% 18.95/2.90 inference(forward_subsumption_resolution,[status(thm)],[f16661,f1973])).
% 18.95/2.90 % SZS output end CNFRefutation for theBenchmark.p
% 3.85/2.91 % Elapsed time: 2.524069 seconds
% 3.85/2.91 % CPU time: 19.736109 seconds
% 3.85/2.91 % Total memory used: 242.242 MB
% 3.85/2.91 % Net memory used: 218.872 MB
%------------------------------------------------------------------------------