TSTP Solution File: ANA030-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA030-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA030-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:51:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f1,negated_conjecture,(
% 0.13/0.35 (![V_U]: (c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(V_U),v_g(V_U),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(V_U),t_b),t_b),t_b) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f2,negated_conjecture,(
% 0.13/0.35 (![V_U]: (~ c_lessequals(v_f(v_x(V_U)),c_plus(v_g(v_x(V_U)),c_times(V_U,c_HOL_Oabs(v_h(v_x(V_U)),t_b),t_b),t_b),t_b) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f3,negated_conjecture,(
% 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f4,axiom,(
% 0.13/0.35 (![T_a,V_y]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)| ~ c_lessequals(c_0,V_y,T_a)| c_HOL_Oabs(V_y,T_a) = V_y ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f5,axiom,(
% 0.13/0.35 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_plus(V_a,c_uminus(V_b,T_a),T_a) = c_minus(V_a,V_b,T_a) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f6,axiom,(
% 0.13/0.35 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)| ~ c_lessequals(c_minus(V_a,V_b,T_a),V_c,T_a)| c_lessequals(V_a,c_plus(V_c,V_b,T_a),T_a) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f7,axiom,(
% 0.13/0.35 (![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) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f8,axiom,(
% 0.13/0.35 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_uminus(c_plus(V_a,V_b,T_a),T_a) = c_plus(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f9,axiom,(
% 0.13/0.35 (![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) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f11,axiom,(
% 0.13/0.35 (![T_b,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_b)| c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f12,axiom,(
% 0.13/0.35 (![T_b,V_x,V_y,V_z]: (( ~ class_Orderings_Olinorder(T_b)| ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)| c_lessequals(V_x,V_z,T_b) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f13,axiom,(
% 0.13/0.35 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f14,axiom,(
% 0.13/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f15,axiom,(
% 0.13/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f16,axiom,(
% 0.13/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f17,plain,(
% 0.13/0.35 ![X0]: (c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.35 fof(f18,plain,(
% 0.13/0.35 ![X0]: (~c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.35 fof(f19,plain,(
% 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.35 fof(f20,plain,(
% 0.13/0.35 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_lessequals(c_0,X1,X0)|c_HOL_Oabs(X1,X0)=X1)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.35 fof(f21,plain,(
% 0.13/0.35 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: c_plus(V_a,c_uminus(V_b,T_a),T_a)=c_minus(V_a,V_b,T_a)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.35 fof(f22,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_plus(X1,c_uminus(X2,X0),X0)=c_minus(X1,X2,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.35 fof(f23,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|~c_lessequals(c_minus(X1,X2,X0),X3,X0)|c_lessequals(X1,c_plus(X3,X2,X0),X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.35 fof(f24,plain,(
% 0.13/0.35 ![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)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.35 fof(f25,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,c_uminus(X2,X0),X0)=c_plus(X1,X2,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.35 fof(f26,plain,(
% 0.13/0.35 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: c_uminus(c_plus(V_a,V_b,T_a),T_a)=c_plus(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.35 fof(f27,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_uminus(c_plus(X1,X2,X0),X0)=c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.35 fof(f28,plain,(
% 0.13/0.35 ![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)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.35 fof(f29,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_uminus(c_minus(X1,X2,X0),X0)=c_minus(X2,X1,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.35 fof(f32,plain,(
% 0.13/0.35 ![T_b]: (~class_Orderings_Olinorder(T_b)|(![V_y,V_x]: c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f11])).
% 0.13/0.35 fof(f33,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.35 fof(f34,plain,(
% 0.13/0.35 ![T_b,V_x,V_z]: ((~class_Orderings_Olinorder(T_b)|(![V_y]: ~c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)))|c_lessequals(V_x,V_z,T_b))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f12])).
% 0.13/0.35 fof(f35,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~class_Orderings_Olinorder(X0)|~c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)|c_lessequals(X1,X3,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.35 fof(f36,plain,(
% 0.13/0.35 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.35 fof(f37,plain,(
% 0.13/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.35 fof(f38,plain,(
% 0.13/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.35 fof(f39,plain,(
% 0.13/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.35 fof(f40,plain,(
% 0.13/0.35 class_OrderedGroup_Oab__group__add(t_b)),
% 0.13/0.35 inference(resolution,[status(thm)],[f38,f19])).
% 0.13/0.35 fof(f41,plain,(
% 0.13/0.35 ![X0,X1]: (c_plus(X0,c_uminus(X1,t_b),t_b)=c_minus(X0,X1,t_b))),
% 0.13/0.35 inference(resolution,[status(thm)],[f22,f40])).
% 0.13/0.35 fof(f42,plain,(
% 0.13/0.35 ![X0,X1]: (c_minus(X0,c_uminus(X1,t_b),t_b)=c_plus(X0,X1,t_b))),
% 0.13/0.35 inference(resolution,[status(thm)],[f25,f40])).
% 0.13/0.35 fof(f43,plain,(
% 0.13/0.35 ![X0,X1]: (c_uminus(c_minus(X0,X1,t_b),t_b)=c_minus(X1,X0,t_b))),
% 0.13/0.35 inference(resolution,[status(thm)],[f29,f40])).
% 0.13/0.35 fof(f44,plain,(
% 0.13/0.35 ![X0,X1]: (c_uminus(c_plus(X0,X1,t_b),t_b)=c_minus(c_uminus(X1,t_b),X0,t_b))),
% 0.13/0.35 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.13/0.35 fof(f61,plain,(
% 0.13/0.35 ![X0,X1]: (c_uminus(c_plus(X0,X1,t_b),t_b)=c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b))),
% 0.13/0.35 inference(resolution,[status(thm)],[f27,f40])).
% 0.13/0.35 fof(f62,plain,(
% 0.13/0.35 ![X0,X1]: (c_minus(c_uminus(X0,t_b),X1,t_b)=c_plus(c_uminus(X1,t_b),c_uminus(X0,t_b),t_b))),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f44,f61])).
% 0.13/0.35 fof(f63,plain,(
% 0.13/0.35 ![X0,X1]: (c_minus(c_uminus(X0,t_b),X1,t_b)=c_minus(c_uminus(X1,t_b),X0,t_b))),
% 0.13/0.35 inference(forward_demodulation,[status(thm)],[f41,f62])).
% 0.13/0.36 fof(f80,plain,(
% 0.13/0.36 ![X0,X1]: (c_uminus(c_minus(c_uminus(X0,t_b),X1,t_b),t_b)=c_minus(X0,c_uminus(X1,t_b),t_b))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f63,f43])).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 ![X0,X1]: (c_minus(X0,c_uminus(X1,t_b),t_b)=c_minus(X1,c_uminus(X0,t_b),t_b))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f43,f80])).
% 0.13/0.36 fof(f82,plain,(
% 0.13/0.36 ![X0,X1]: (c_plus(X0,X1,t_b)=c_minus(X1,c_uminus(X0,t_b),t_b))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f42,f81])).
% 0.13/0.36 fof(f83,plain,(
% 0.13/0.36 ![X0,X1]: (c_plus(X0,X1,t_b)=c_plus(X1,X0,t_b))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f42,f82])).
% 0.13/0.36 fof(f92,plain,(
% 0.13/0.36 class_Orderings_Olinorder(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f37,f19])).
% 0.13/0.36 fof(f93,plain,(
% 0.13/0.36 ![X0,X1]: (c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b))),
% 0.13/0.36 inference(resolution,[status(thm)],[f92,f33])).
% 0.13/0.36 fof(f94,plain,(
% 0.13/0.36 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f39,f19])).
% 0.13/0.36 fof(f95,plain,(
% 0.13/0.36 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f94,f36])).
% 0.13/0.36 fof(f106,plain,(
% 0.13/0.36 spl0_0 <=> class_Orderings_Olinorder(t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f108,plain,(
% 0.13/0.36 ~class_Orderings_Olinorder(t_b)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f106])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 spl0_2 <=> class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f116,plain,(
% 0.13/0.36 ~class_OrderedGroup_Olordered__ab__group__abs(t_b)|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f114])).
% 0.13/0.36 fof(f117,plain,(
% 0.13/0.36 spl0_3 <=> c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b)=c_Orderings_Omax(X0,c_0,t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 ![X0]: (c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b)=c_Orderings_Omax(X0,c_0,t_b)|~spl0_3)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.36 fof(f120,plain,(
% 0.13/0.36 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(t_b)|c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b)=c_Orderings_Omax(X0,c_0,t_b))),
% 0.13/0.36 inference(resolution,[status(thm)],[f93,f20])).
% 0.13/0.36 fof(f121,plain,(
% 0.13/0.36 ~spl0_2|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f120,f114,f117])).
% 0.13/0.36 fof(f122,plain,(
% 0.13/0.36 $false|spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f116,f94])).
% 0.13/0.36 fof(f123,plain,(
% 0.13/0.36 spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f122])).
% 0.13/0.36 fof(f124,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f108,f92])).
% 0.13/0.36 fof(f125,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f124])).
% 0.13/0.36 fof(f147,plain,(
% 0.13/0.36 spl0_4 <=> class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f149,plain,(
% 0.13/0.36 ~class_OrderedGroup_Opordered__ab__group__add(t_b)|spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f147])).
% 0.13/0.36 fof(f167,plain,(
% 0.13/0.36 $false|spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f149,f95])).
% 0.13/0.36 fof(f168,plain,(
% 0.13/0.36 spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f167])).
% 0.13/0.36 fof(f204,plain,(
% 0.13/0.36 ![X0]: (c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)|~spl0_3)),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f118,f17])).
% 0.13/0.36 fof(f270,plain,(
% 0.13/0.36 spl0_20 <=> c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f271,plain,(
% 0.13/0.36 ![X0]: (c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)|~spl0_20)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f270])).
% 0.13/0.36 fof(f273,plain,(
% 0.13/0.36 ![X0]: (~class_Orderings_Olinorder(t_b)|c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)|~spl0_3)),
% 0.13/0.36 inference(resolution,[status(thm)],[f204,f35])).
% 0.13/0.36 fof(f274,plain,(
% 0.13/0.36 ~spl0_0|spl0_20|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f273,f106,f270,f117])).
% 0.13/0.36 fof(f385,plain,(
% 0.13/0.36 spl0_27 <=> c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f386,plain,(
% 0.13/0.36 ![X0]: (c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)|~spl0_27)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f385])).
% 0.13/0.36 fof(f388,plain,(
% 0.13/0.36 ![X0]: (~class_OrderedGroup_Opordered__ab__group__add(t_b)|c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)|~spl0_20)),
% 0.13/0.36 inference(resolution,[status(thm)],[f271,f23])).
% 0.13/0.36 fof(f389,plain,(
% 0.13/0.36 ~spl0_4|spl0_27|~spl0_20),
% 0.13/0.36 inference(split_clause,[status(thm)],[f388,f147,f385,f270])).
% 0.13/0.36 fof(f390,plain,(
% 0.13/0.36 ![X0]: (c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b)|~spl0_27)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f83,f386])).
% 0.13/0.36 fof(f391,plain,(
% 0.13/0.36 $false|~spl0_27),
% 0.13/0.36 inference(resolution,[status(thm)],[f390,f18])).
% 0.13/0.36 fof(f392,plain,(
% 0.13/0.36 ~spl0_27),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f391])).
% 0.13/0.36 fof(f393,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f121,f123,f125,f168,f274,f389,f392])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37 % Elapsed time: 0.024621 seconds
% 0.19/0.37 % CPU time: 0.059580 seconds
% 0.19/0.37 % Memory used: 5.237 MB
%------------------------------------------------------------------------------