TSTP Solution File: ANA027-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:11:44 EDT 2024
% Result : Unsatisfiable 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 20:57:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.19/0.34 % Refutation found
% 0.19/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.34 fof(f1,negated_conjecture,(
% 0.19/0.34 c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b) ),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f2,negated_conjecture,(
% 0.19/0.34 c_lessequals(v_g(v_x),v_k(v_x),t_b) ),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f3,negated_conjecture,(
% 0.19/0.34 ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f4,negated_conjecture,(
% 0.19/0.34 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f5,axiom,(
% 0.19/0.34 (![T_a,V_y]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_plus(c_0,V_y,T_a) = V_y ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f6,axiom,(
% 0.19/0.34 (![T_a,V_a,V_c,V_b]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)| ~ c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a)| c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f7,axiom,(
% 0.19/0.34 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)| ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)| c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f8,axiom,(
% 0.19/0.34 (![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) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f9,axiom,(
% 0.19/0.34 (![T]: (( ~ class_LOrder_Ojoin__semilorder(T)| class_Orderings_Oorder(T) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f10,axiom,(
% 0.19/0.34 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f11,axiom,(
% 0.19/0.34 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_LOrder_Ojoin__semilorder(T) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f12,axiom,(
% 0.19/0.34 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Ocomm__monoid__add(T) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f13,axiom,(
% 0.19/0.34 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.19/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.34 fof(f14,plain,(
% 0.19/0.34 c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.34 fof(f15,plain,(
% 0.19/0.34 c_lessequals(v_g(v_x),v_k(v_x),t_b)),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.34 fof(f16,plain,(
% 0.19/0.34 ~c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.34 fof(f17,plain,(
% 0.19/0.34 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.34 fof(f18,plain,(
% 0.19/0.34 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_y]: c_plus(c_0,V_y,T_a)=V_y))),
% 0.19/0.34 inference(miniscoping,[status(esa)],[f5])).
% 0.19/0.34 fof(f19,plain,(
% 0.19/0.34 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_plus(c_0,X1,X0)=X1)),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.34 fof(f20,plain,(
% 0.19/0.34 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|~c_lessequals(X1,c_minus(X2,X3,X0),X0)|c_lessequals(c_plus(X1,X3,X0),X2,X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.34 fof(f21,plain,(
% 0.19/0.34 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|~c_lessequals(c_plus(X1,X2,X0),X3,X0)|c_lessequals(X1,c_minus(X3,X2,X0),X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.34 fof(f22,plain,(
% 0.19/0.34 ![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))),
% 0.19/0.34 inference(miniscoping,[status(esa)],[f8])).
% 0.19/0.34 fof(f23,plain,(
% 0.19/0.34 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.34 fof(f24,plain,(
% 0.19/0.34 ![X0]: (~class_LOrder_Ojoin__semilorder(X0)|class_Orderings_Oorder(X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.34 fof(f25,plain,(
% 0.19/0.34 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.34 fof(f26,plain,(
% 0.19/0.34 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_LOrder_Ojoin__semilorder(X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.34 fof(f27,plain,(
% 0.19/0.34 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Ocomm__monoid__add(X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.34 fof(f28,plain,(
% 0.19/0.34 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.19/0.34 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.34 fof(f29,plain,(
% 0.19/0.34 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.19/0.34 inference(resolution,[status(thm)],[f28,f17])).
% 0.19/0.34 fof(f30,plain,(
% 0.19/0.34 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.19/0.34 inference(resolution,[status(thm)],[f25,f29])).
% 0.19/0.34 fof(f31,plain,(
% 0.19/0.34 class_LOrder_Ojoin__semilorder(t_b)),
% 0.19/0.34 inference(resolution,[status(thm)],[f26,f29])).
% 0.19/0.34 fof(f32,plain,(
% 0.19/0.34 class_Orderings_Oorder(t_b)),
% 0.19/0.34 inference(resolution,[status(thm)],[f31,f24])).
% 0.19/0.34 fof(f33,plain,(
% 0.19/0.34 class_OrderedGroup_Ocomm__monoid__add(t_b)),
% 0.19/0.34 inference(resolution,[status(thm)],[f27,f17])).
% 0.19/0.34 fof(f34,plain,(
% 0.19/0.34 ![X0]: (c_plus(c_0,X0,t_b)=X0)),
% 0.19/0.34 inference(resolution,[status(thm)],[f19,f33])).
% 0.19/0.34 fof(f35,plain,(
% 0.19/0.34 spl0_0 <=> class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.19/0.34 introduced(split_symbol_definition)).
% 0.19/0.34 fof(f37,plain,(
% 0.19/0.34 ~class_OrderedGroup_Opordered__ab__group__add(t_b)|spl0_0),
% 0.19/0.34 inference(component_clause,[status(thm)],[f35])).
% 0.19/0.34 fof(f38,plain,(
% 0.19/0.34 spl0_1 <=> c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b)),
% 0.19/0.34 introduced(split_symbol_definition)).
% 0.19/0.34 fof(f39,plain,(
% 0.19/0.34 c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b)|~spl0_1),
% 0.19/0.34 inference(component_clause,[status(thm)],[f38])).
% 0.19/0.34 fof(f41,plain,(
% 0.19/0.34 ~class_OrderedGroup_Opordered__ab__group__add(t_b)|c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b)),
% 0.19/0.34 inference(resolution,[status(thm)],[f20,f14])).
% 0.19/0.34 fof(f42,plain,(
% 0.19/0.34 ~spl0_0|spl0_1),
% 0.19/0.34 inference(split_clause,[status(thm)],[f41,f35,f38])).
% 0.19/0.34 fof(f43,plain,(
% 0.19/0.34 $false|spl0_0),
% 0.19/0.34 inference(forward_subsumption_resolution,[status(thm)],[f37,f30])).
% 0.19/0.34 fof(f44,plain,(
% 0.19/0.34 spl0_0),
% 0.19/0.34 inference(contradiction_clause,[status(thm)],[f43])).
% 0.19/0.34 fof(f45,plain,(
% 0.19/0.34 c_lessequals(v_k(v_x),v_f(v_x),t_b)|~spl0_1),
% 0.19/0.34 inference(forward_demodulation,[status(thm)],[f34,f39])).
% 0.19/0.34 fof(f46,plain,(
% 0.19/0.34 spl0_2 <=> class_Orderings_Oorder(t_b)),
% 0.19/0.34 introduced(split_symbol_definition)).
% 0.19/0.34 fof(f48,plain,(
% 0.19/0.34 ~class_Orderings_Oorder(t_b)|spl0_2),
% 0.19/0.34 inference(component_clause,[status(thm)],[f46])).
% 0.19/0.34 fof(f49,plain,(
% 0.19/0.34 spl0_3 <=> ~c_lessequals(X0,v_k(v_x),t_b)|c_lessequals(X0,v_f(v_x),t_b)),
% 0.19/0.34 introduced(split_symbol_definition)).
% 0.19/0.34 fof(f50,plain,(
% 0.19/0.34 ![X0]: (~c_lessequals(X0,v_k(v_x),t_b)|c_lessequals(X0,v_f(v_x),t_b)|~spl0_3)),
% 0.19/0.34 inference(component_clause,[status(thm)],[f49])).
% 0.19/0.34 fof(f52,plain,(
% 0.19/0.34 ![X0]: (~class_Orderings_Oorder(t_b)|~c_lessequals(X0,v_k(v_x),t_b)|c_lessequals(X0,v_f(v_x),t_b)|~spl0_1)),
% 0.19/0.34 inference(resolution,[status(thm)],[f23,f45])).
% 0.19/0.34 fof(f53,plain,(
% 0.19/0.34 ~spl0_2|spl0_3|~spl0_1),
% 0.19/0.34 inference(split_clause,[status(thm)],[f52,f46,f49,f38])).
% 0.19/0.34 fof(f64,plain,(
% 0.19/0.34 $false|spl0_2),
% 0.19/0.34 inference(forward_subsumption_resolution,[status(thm)],[f48,f32])).
% 0.19/0.34 fof(f65,plain,(
% 0.19/0.34 spl0_2),
% 0.19/0.34 inference(contradiction_clause,[status(thm)],[f64])).
% 0.19/0.34 fof(f66,plain,(
% 0.19/0.34 c_lessequals(v_g(v_x),v_f(v_x),t_b)|~spl0_3),
% 0.19/0.34 inference(resolution,[status(thm)],[f50,f15])).
% 0.19/0.34 fof(f72,plain,(
% 0.19/0.34 spl0_7 <=> ~c_lessequals(X0,X1,t_b)|c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)),
% 0.19/0.34 introduced(split_symbol_definition)).
% 0.19/0.34 fof(f73,plain,(
% 0.19/0.34 ![X0,X1]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)|~spl0_7)),
% 0.19/0.34 inference(component_clause,[status(thm)],[f72])).
% 0.19/0.34 fof(f75,plain,(
% 0.19/0.34 ![X0,X1]: (~class_OrderedGroup_Opordered__ab__group__add(t_b)|~c_lessequals(X0,X1,t_b)|c_lessequals(c_0,c_minus(X1,X0,t_b),t_b))),
% 0.19/0.35 inference(paramodulation,[status(thm)],[f34,f21])).
% 0.19/0.35 fof(f76,plain,(
% 0.19/0.35 ~spl0_0|spl0_7),
% 0.19/0.35 inference(split_clause,[status(thm)],[f75,f35,f72])).
% 0.19/0.35 fof(f79,plain,(
% 0.19/0.35 c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b)|~spl0_7|~spl0_3),
% 0.19/0.35 inference(resolution,[status(thm)],[f73,f66])).
% 0.19/0.35 fof(f80,plain,(
% 0.19/0.35 $false|~spl0_7|~spl0_3),
% 0.19/0.35 inference(forward_subsumption_resolution,[status(thm)],[f79,f16])).
% 0.19/0.35 fof(f81,plain,(
% 0.19/0.35 ~spl0_7|~spl0_3),
% 0.19/0.35 inference(contradiction_clause,[status(thm)],[f80])).
% 0.19/0.35 fof(f82,plain,(
% 0.19/0.35 $false),
% 0.19/0.35 inference(sat_refutation,[status(thm)],[f42,f44,f53,f65,f76,f81])).
% 0.19/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.36 % Elapsed time: 0.016800 seconds
% 0.19/0.36 % CPU time: 0.025348 seconds
% 0.19/0.36 % Total memory used: 3.912 MB
% 0.19/0.36 % Net memory used: 3.777 MB
%------------------------------------------------------------------------------