TSTP Solution File: ANA029-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:03:31 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f1,negated_conjecture,(
% 0.15/0.33 ~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f2,negated_conjecture,(
% 0.15/0.33 ~ 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) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f3,negated_conjecture,(
% 0.15/0.33 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f4,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f7,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f8,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f9,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f10,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f11,axiom,(
% 0.15/0.33 (![T]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T)| class_Orderings_Oorder(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f12,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f13,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f14,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f15,plain,(
% 0.15/0.33 ~c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.33 fof(f16,plain,(
% 0.15/0.33 ~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)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.33 fof(f17,plain,(
% 0.15/0.33 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.33 fof(f18,plain,(
% 0.15/0.33 ![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)))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f4])).
% 0.15/0.33 fof(f19,plain,(
% 0.15/0.33 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.33 fof(f22,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_less(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.33 fof(f23,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.33 fof(f24,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f9])).
% 0.15/0.33 fof(f25,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.33 fof(f26,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_less(X1,X2,X0)|c_lessequals(X1,X2,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.33 fof(f27,plain,(
% 0.15/0.33 ![X0]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|class_Orderings_Oorder(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.33 fof(f28,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.33 fof(f29,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.33 fof(f30,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.33 fof(f32,plain,(
% 0.15/0.33 ![X0,X1]: (~class_Ring__and__Field_Oordered__idom(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f29,f19])).
% 0.15/0.33 fof(f33,plain,(
% 0.15/0.33 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 0.15/0.33 inference(resolution,[status(thm)],[f32,f17])).
% 0.15/0.33 fof(f34,plain,(
% 0.15/0.33 spl0_0 <=> class_Ring__and__Field_Oordered__idom(t_b)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f36,plain,(
% 0.15/0.33 ~class_Ring__and__Field_Oordered__idom(t_b)|spl0_0),
% 0.15/0.33 inference(component_clause,[status(thm)],[f34])).
% 0.15/0.33 fof(f42,plain,(
% 0.15/0.33 $false|spl0_0),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f36,f17])).
% 0.15/0.33 fof(f43,plain,(
% 0.15/0.33 spl0_0),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f42])).
% 0.15/0.33 fof(f44,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~c_less(X0,X1,X2)|c_lessequals(X0,X1,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2))),
% 0.15/0.33 inference(resolution,[status(thm)],[f26,f27])).
% 0.15/0.33 fof(f45,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~c_less(X0,X1,X2)|c_lessequals(X0,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 0.15/0.33 inference(resolution,[status(thm)],[f44,f30])).
% 0.15/0.33 fof(f46,plain,(
% 0.15/0.33 ![X0,X1]: (~c_less(X0,X1,t_b)|c_lessequals(X0,X1,t_b))),
% 0.15/0.33 inference(resolution,[status(thm)],[f45,f17])).
% 0.15/0.33 fof(f47,plain,(
% 0.15/0.33 spl0_2 <=> c_lessequals(X0,X1,t_b)|c_lessequals(X1,X0,t_b)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f48,plain,(
% 0.15/0.33 ![X0,X1]: (c_lessequals(X0,X1,t_b)|c_lessequals(X1,X0,t_b)|~spl0_2)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f47])).
% 0.15/0.33 fof(f50,plain,(
% 0.15/0.33 spl0_3 <=> class_Orderings_Olinorder(t_b)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f51,plain,(
% 0.15/0.33 class_Orderings_Olinorder(t_b)|~spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f50])).
% 0.15/0.33 fof(f52,plain,(
% 0.15/0.33 ~class_Orderings_Olinorder(t_b)|spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f50])).
% 0.15/0.33 fof(f53,plain,(
% 0.15/0.33 ![X0,X1]: (c_lessequals(X0,X1,t_b)|~class_Orderings_Olinorder(t_b)|c_lessequals(X1,X0,t_b))),
% 0.15/0.33 inference(resolution,[status(thm)],[f46,f22])).
% 0.15/0.33 fof(f54,plain,(
% 0.15/0.33 spl0_2|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f53,f47,f50])).
% 0.15/0.33 fof(f56,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,X2)|~c_lessequals(X3,X0,X2)|c_lessequals(X3,X1,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2))),
% 0.15/0.33 inference(resolution,[status(thm)],[f25,f27])).
% 0.15/0.33 fof(f58,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,X2)|~c_lessequals(X3,X0,X2)|c_lessequals(X3,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 0.15/0.33 inference(resolution,[status(thm)],[f56,f30])).
% 0.15/0.33 fof(f74,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(X2,X0,t_b)|c_lessequals(X2,X1,t_b))),
% 0.15/0.33 inference(resolution,[status(thm)],[f58,f17])).
% 0.15/0.33 fof(f76,plain,(
% 0.15/0.33 ![X0,X1]: (~c_lessequals(c_HOL_Oabs(X0,t_b),X1,t_b)|c_lessequals(c_0,X1,t_b))),
% 0.15/0.33 inference(resolution,[status(thm)],[f74,f33])).
% 0.15/0.33 fof(f130,plain,(
% 0.15/0.33 ~class_Ring__and__Field_Oordered__idom(t_b)|spl0_3),
% 0.15/0.33 inference(resolution,[status(thm)],[f52,f28])).
% 0.15/0.33 fof(f131,plain,(
% 0.15/0.33 ~spl0_0|spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f130,f34,f50])).
% 0.15/0.33 fof(f134,plain,(
% 0.15/0.33 ![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)|~spl0_3)),
% 0.15/0.33 inference(resolution,[status(thm)],[f51,f23])).
% 0.15/0.33 fof(f139,plain,(
% 0.15/0.33 ![X0,X1]: (c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b)|c_lessequals(c_0,X0,t_b)|~spl0_2)),
% 0.15/0.33 inference(resolution,[status(thm)],[f48,f76])).
% 0.15/0.33 fof(f164,plain,(
% 0.15/0.33 ![X0]: (c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(X0,t_b),t_b)|~spl0_2)),
% 0.15/0.35 inference(resolution,[status(thm)],[f139,f15])).
% 0.15/0.35 fof(f247,plain,(
% 0.15/0.35 spl0_28 <=> c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f249,plain,(
% 0.15/0.35 ~c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)|spl0_28),
% 0.15/0.35 inference(component_clause,[status(thm)],[f247])).
% 0.15/0.35 fof(f250,plain,(
% 0.15/0.35 spl0_29 <=> 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)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f252,plain,(
% 0.15/0.35 ~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)|spl0_29),
% 0.15/0.35 inference(component_clause,[status(thm)],[f250])).
% 0.15/0.35 fof(f253,plain,(
% 0.15/0.35 ~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)|~spl0_3),
% 0.15/0.35 inference(resolution,[status(thm)],[f134,f16])).
% 0.15/0.35 fof(f254,plain,(
% 0.15/0.35 ~spl0_28|~spl0_29|~spl0_3),
% 0.15/0.35 inference(split_clause,[status(thm)],[f253,f247,f250,f50])).
% 0.15/0.35 fof(f262,plain,(
% 0.15/0.35 $false|spl0_28),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f249,f33])).
% 0.15/0.35 fof(f263,plain,(
% 0.15/0.35 spl0_28),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f262])).
% 0.15/0.35 fof(f264,plain,(
% 0.15/0.35 $false|~spl0_2|spl0_29),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f252,f164])).
% 0.15/0.35 fof(f265,plain,(
% 0.15/0.35 ~spl0_2|spl0_29),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f264])).
% 0.15/0.35 fof(f266,plain,(
% 0.15/0.35 $false),
% 0.15/0.35 inference(sat_refutation,[status(thm)],[f43,f54,f131,f254,f263,f265])).
% 0.15/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.57 % Elapsed time: 0.035999 seconds
% 0.15/0.57 % CPU time: 0.023901 seconds
% 0.15/0.57 % Memory used: 724.463 KB
%------------------------------------------------------------------------------