TSTP Solution File: ANA028-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA028-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Wed May 31 12:01:29 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA028-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:58:01 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,axiom,(
% 0.14/0.36 (![T_a,V_y]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_plus(c_0,V_y,T_a) = V_y ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f2,axiom,(
% 0.14/0.36 (![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) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f3,axiom,(
% 0.14/0.36 (![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) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f4,axiom,(
% 0.14/0.36 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,c_minus(V_b,V_c,T_a),T_a) = c_minus(c_plus(V_a,V_c,T_a),V_b,T_a) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f5,axiom,(
% 0.14/0.36 (![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) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f7,axiom,(
% 0.14/0.36 (![T_a,V_a]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,V_a,T_a) = c_0 ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f8,negated_conjecture,(
% 0.14/0.36 (![V_U]: (c_lessequals(v_g(V_U),v_k(V_U),t_b) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f9,negated_conjecture,(
% 0.14/0.36 ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f10,axiom,(
% 0.14/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Ocomm__monoid__add(T) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f11,axiom,(
% 0.14/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f12,axiom,(
% 0.14/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f13,negated_conjecture,(
% 0.14/0.36 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_y]: c_plus(c_0,V_y,T_a)=V_y))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f1])).
% 0.14/0.36 fof(f15,plain,(
% 0.14/0.36 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_plus(c_0,X1,X0)=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.36 fof(f16,plain,(
% 0.14/0.36 ![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)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f2])).
% 0.14/0.36 fof(f17,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.36 fof(f18,plain,(
% 0.14/0.36 ![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)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f3])).
% 0.14/0.36 fof(f19,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.36 fof(f20,plain,(
% 0.14/0.36 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b,V_c]: c_minus(V_a,c_minus(V_b,V_c,T_a),T_a)=c_minus(c_plus(V_a,V_c,T_a),V_b,T_a)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.14/0.36 fof(f21,plain,(
% 0.14/0.36 ![X0,X1,X2,X3]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,c_minus(X2,X3,X0),X0)=c_minus(c_plus(X1,X3,X0),X2,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.36 fof(f22,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.36 fof(f24,plain,(
% 0.14/0.36 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a]: c_minus(V_a,V_a,T_a)=c_0))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f7])).
% 0.14/0.36 fof(f25,plain,(
% 0.14/0.36 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,X1,X0)=c_0)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.36 fof(f26,plain,(
% 0.14/0.36 ![X0]: (c_lessequals(v_g(X0),v_k(X0),t_b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.36 fof(f27,plain,(
% 0.14/0.36 ~c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.36 fof(f28,plain,(
% 0.14/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Ocomm__monoid__add(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.36 fof(f29,plain,(
% 0.14/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.36 fof(f30,plain,(
% 0.14/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.36 fof(f31,plain,(
% 0.14/0.36 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.36 fof(f32,plain,(
% 0.14/0.36 class_OrderedGroup_Oab__group__add(t_b)),
% 0.14/0.36 inference(resolution,[status(thm)],[f29,f31])).
% 0.14/0.36 fof(f33,plain,(
% 0.14/0.36 class_OrderedGroup_Ocomm__monoid__add(t_b)),
% 0.14/0.36 inference(resolution,[status(thm)],[f28,f31])).
% 0.14/0.36 fof(f34,plain,(
% 0.14/0.36 ![X0]: (c_plus(c_0,X0,t_b)=X0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f33,f15])).
% 0.14/0.36 fof(f35,plain,(
% 0.14/0.36 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.14/0.36 inference(resolution,[status(thm)],[f30,f31])).
% 0.14/0.36 fof(f36,plain,(
% 0.14/0.36 ![X0]: (c_minus(X0,X0,t_b)=c_0)),
% 0.14/0.36 inference(resolution,[status(thm)],[f25,f32])).
% 0.14/0.36 fof(f37,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(resolution,[status(thm)],[f17,f32])).
% 0.14/0.36 fof(f38,plain,(
% 0.14/0.36 ![X0,X1]: (c_plus(X0,c_minus(X1,c_plus(X0,X1,t_b),t_b),t_b)=c_0)),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.36 fof(f69,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(resolution,[status(thm)],[f19,f32])).
% 0.14/0.36 fof(f70,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f37,f69])).
% 0.14/0.36 fof(f71,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(resolution,[status(thm)],[f21,f32])).
% 0.14/0.36 fof(f72,plain,(
% 0.14/0.36 ![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))),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f37,f71])).
% 0.14/0.36 fof(f73,plain,(
% 0.14/0.36 spl0_0 <=> class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f75,plain,(
% 0.14/0.36 ~class_OrderedGroup_Opordered__ab__group__add(t_b)|spl0_0),
% 0.14/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.36 fof(f76,plain,(
% 0.14/0.36 spl0_1 <=> ~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X1,t_b),c_0,t_b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f77,plain,(
% 0.14/0.36 ![X0,X1]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X1,t_b),c_0,t_b)|~spl0_1)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f76])).
% 0.14/0.36 fof(f79,plain,(
% 0.14/0.36 ![X0,X1]: (~class_OrderedGroup_Opordered__ab__group__add(t_b)|~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X1,t_b),c_0,t_b))),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f34,f22])).
% 0.14/0.36 fof(f80,plain,(
% 0.14/0.36 ~spl0_0|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f79,f73,f76])).
% 0.14/0.36 fof(f91,plain,(
% 0.14/0.36 $false|spl0_0),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f75,f35])).
% 0.14/0.36 fof(f92,plain,(
% 0.14/0.36 spl0_0),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f91])).
% 0.14/0.36 fof(f93,plain,(
% 0.14/0.36 ![X0]: (c_lessequals(c_minus(v_g(X0),v_k(X0),t_b),c_0,t_b)|~spl0_1)),
% 0.14/0.36 inference(resolution,[status(thm)],[f77,f26])).
% 0.14/0.36 fof(f121,plain,(
% 0.14/0.36 ![X0,X1]: (c_plus(c_0,X0,t_b)=c_plus(X1,c_minus(X0,X1,t_b),t_b))),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f36,f70])).
% 0.14/0.36 fof(f122,plain,(
% 0.14/0.36 ![X0,X1]: (X0=c_plus(X1,c_minus(X0,X1,t_b),t_b))),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f34,f121])).
% 0.14/0.37 fof(f154,plain,(
% 0.14/0.37 ![X0,X1,X2]: (c_plus(X0,X1,t_b)=c_plus(X2,c_plus(X0,c_minus(X1,X2,t_b),t_b),t_b))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f37,f122])).
% 0.14/0.37 fof(f155,plain,(
% 0.14/0.37 ![X0]: (X0=c_plus(X0,c_0,t_b))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f36,f122])).
% 0.14/0.37 fof(f160,plain,(
% 0.14/0.37 ![X0,X1,X2]: (c_plus(X0,c_minus(c_minus(X1,X0,t_b),X2,t_b),t_b)=c_minus(X1,X2,t_b))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f122,f37])).
% 0.14/0.37 fof(f571,plain,(
% 0.14/0.37 ![X0,X1]: (c_plus(X0,X1,t_b)=c_plus(X1,c_plus(X0,c_0,t_b),t_b))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f36,f154])).
% 0.14/0.37 fof(f572,plain,(
% 0.14/0.37 ![X0,X1]: (c_plus(X0,X1,t_b)=c_plus(X1,X0,t_b))),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f155,f571])).
% 0.14/0.37 fof(f652,plain,(
% 0.14/0.37 ![X0,X1]: (c_plus(X0,c_minus(X1,c_plus(X1,X0,t_b),t_b),t_b)=c_0)),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f572,f38])).
% 0.14/0.37 fof(f772,plain,(
% 0.14/0.37 spl0_28 <=> ~c_lessequals(X0,c_0,t_b)|c_lessequals(c_minus(X0,c_minus(X1,c_plus(X1,X2,t_b),t_b),t_b),X2,t_b)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f773,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~c_lessequals(X0,c_0,t_b)|c_lessequals(c_minus(X0,c_minus(X1,c_plus(X1,X2,t_b),t_b),t_b),X2,t_b)|~spl0_28)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f772])).
% 0.14/0.37 fof(f775,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~class_OrderedGroup_Opordered__ab__group__add(t_b)|~c_lessequals(X0,c_0,t_b)|c_lessequals(c_minus(X0,c_minus(X1,c_plus(X1,X2,t_b),t_b),t_b),X2,t_b))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f652,f22])).
% 0.14/0.37 fof(f776,plain,(
% 0.14/0.37 ~spl0_0|spl0_28),
% 0.14/0.37 inference(split_clause,[status(thm)],[f775,f73,f772])).
% 0.14/0.37 fof(f780,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~c_lessequals(X0,c_0,t_b)|c_lessequals(c_plus(X0,c_minus(c_plus(X1,X2,t_b),X1,t_b),t_b),X2,t_b)|~spl0_28)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f72,f773])).
% 0.14/0.37 fof(f781,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~c_lessequals(X0,c_0,t_b)|c_lessequals(c_plus(X0,c_plus(X1,c_minus(X2,X1,t_b),t_b),t_b),X2,t_b)|~spl0_28)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f37,f780])).
% 0.14/0.37 fof(f782,plain,(
% 0.14/0.37 ![X0,X1]: (~c_lessequals(X0,c_0,t_b)|c_lessequals(c_plus(X0,X1,t_b),X1,t_b)|~spl0_28)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f122,f781])).
% 0.14/0.37 fof(f785,plain,(
% 0.14/0.37 ![X0,X1]: (c_lessequals(c_plus(c_minus(v_g(X0),v_k(X0),t_b),X1,t_b),X1,t_b)|~spl0_28|~spl0_1)),
% 0.14/0.37 inference(resolution,[status(thm)],[f782,f93])).
% 0.14/0.37 fof(f786,plain,(
% 0.14/0.37 ![X0,X1]: (c_lessequals(c_plus(v_g(X0),c_minus(X1,v_k(X0),t_b),t_b),X1,t_b)|~spl0_28|~spl0_1)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f70,f785])).
% 0.14/0.37 fof(f1042,plain,(
% 0.14/0.37 ![X0,X1]: (c_lessequals(c_minus(X0,v_k(X1),t_b),c_minus(X0,v_g(X1),t_b),t_b)|~spl0_28|~spl0_1)),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f160,f786])).
% 0.14/0.37 fof(f1102,plain,(
% 0.14/0.37 $false|~spl0_28|~spl0_1),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f27,f1042])).
% 0.14/0.37 fof(f1103,plain,(
% 0.14/0.37 ~spl0_28|~spl0_1),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f1102])).
% 0.14/0.37 fof(f1104,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f80,f92,f776,f1103])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.034816 seconds
% 0.14/0.38 % CPU time: 0.152335 seconds
% 0.14/0.38 % Memory used: 8.387 MB
%------------------------------------------------------------------------------