TSTP Solution File: ANA044-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:01:32 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
% 0.07/0.12 % Problem : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n005.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 10:00:06 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % 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,negated_conjecture,(
% 0.14/0.36 (![V_U,V_V]: (c_lessequals(c_0,v_l(V_U,V_V),t_b) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f2,negated_conjecture,(
% 0.14/0.36 (![V_U]: (c_lessequals(c_0,v_h(V_U),t_b) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f3,negated_conjecture,(
% 0.14/0.36 c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f4,negated_conjecture,(
% 0.14/0.36 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f5,axiom,(
% 0.14/0.36 (![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 ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f6,axiom,(
% 0.14/0.36 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)| ~ c_lessequals(c_0,V_b,T_a)| ~ c_lessequals(c_0,V_a,T_a)| c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f7,axiom,(
% 0.14/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__cancel__semiring(T) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f8,axiom,(
% 0.14/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f9,plain,(
% 0.14/0.36 ![X0,X1]: (c_lessequals(c_0,v_l(X0,X1),t_b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.36 fof(f10,plain,(
% 0.14/0.36 ![X0]: (c_lessequals(c_0,v_h(X0),t_b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.36 fof(f11,plain,(
% 0.14/0.36 ~c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)=c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.36 fof(f12,plain,(
% 0.14/0.36 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.36 fof(f13,plain,(
% 0.14/0.36 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_lessequals(c_0,X1,X0)|c_HOL_Oabs(X1,X0)=X1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~class_Ring__and__Field_Opordered__cancel__semiring(X0)|~c_lessequals(c_0,X1,X0)|~c_lessequals(c_0,X2,X0)|c_lessequals(c_0,c_times(X2,X1,X0),X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36 fof(f15,plain,(
% 0.14/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__cancel__semiring(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.36 fof(f16,plain,(
% 0.14/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.36 fof(f17,plain,(
% 0.14/0.36 spl0_0 <=> class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f19,plain,(
% 0.14/0.36 ~class_OrderedGroup_Olordered__ab__group__abs(t_b)|spl0_0),
% 0.14/0.36 inference(component_clause,[status(thm)],[f17])).
% 0.14/0.36 fof(f30,plain,(
% 0.14/0.36 spl0_3 <=> class_Ring__and__Field_Opordered__cancel__semiring(t_b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f32,plain,(
% 0.14/0.36 ~class_Ring__and__Field_Opordered__cancel__semiring(t_b)|spl0_3),
% 0.14/0.36 inference(component_clause,[status(thm)],[f30])).
% 0.14/0.36 fof(f38,plain,(
% 0.14/0.36 spl0_5 <=> ~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(X0,v_h(X1),t_b),t_b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f39,plain,(
% 0.14/0.36 ![X0,X1]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(X0,v_h(X1),t_b),t_b)|~spl0_5)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f38])).
% 0.14/0.36 fof(f41,plain,(
% 0.14/0.36 ![X0,X1]: (~class_Ring__and__Field_Opordered__cancel__semiring(t_b)|~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(X0,v_h(X1),t_b),t_b))),
% 0.14/0.36 inference(resolution,[status(thm)],[f14,f10])).
% 0.14/0.36 fof(f42,plain,(
% 0.14/0.36 ~spl0_3|spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f41,f30,f38])).
% 0.14/0.36 fof(f43,plain,(
% 0.14/0.36 class_Ring__and__Field_Opordered__cancel__semiring(t_b)),
% 0.14/0.36 inference(resolution,[status(thm)],[f15,f12])).
% 0.14/0.36 fof(f44,plain,(
% 0.14/0.36 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.14/0.36 inference(resolution,[status(thm)],[f16,f12])).
% 0.14/0.36 fof(f45,plain,(
% 0.14/0.36 $false|spl0_0),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f19,f44])).
% 0.14/0.36 fof(f46,plain,(
% 0.14/0.36 spl0_0),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f45])).
% 0.14/0.36 fof(f47,plain,(
% 0.14/0.36 $false|spl0_3),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f32,f43])).
% 0.14/0.36 fof(f48,plain,(
% 0.14/0.36 spl0_3),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f47])).
% 0.14/0.36 fof(f49,plain,(
% 0.14/0.36 ![X0,X1,X2]: (c_lessequals(c_0,c_times(v_l(X0,X1),v_h(X2),t_b),t_b)|~spl0_5)),
% 0.14/0.36 inference(resolution,[status(thm)],[f39,f9])).
% 0.14/0.36 fof(f72,plain,(
% 0.14/0.36 spl0_9 <=> c_HOL_Oabs(c_times(v_l(X0,X1),v_h(X2),t_b),t_b)=c_times(v_l(X0,X1),v_h(X2),t_b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f73,plain,(
% 0.14/0.36 ![X0,X1,X2]: (c_HOL_Oabs(c_times(v_l(X0,X1),v_h(X2),t_b),t_b)=c_times(v_l(X0,X1),v_h(X2),t_b)|~spl0_9)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f72])).
% 0.14/0.36 fof(f75,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~class_OrderedGroup_Olordered__ab__group__abs(t_b)|c_HOL_Oabs(c_times(v_l(X0,X1),v_h(X2),t_b),t_b)=c_times(v_l(X0,X1),v_h(X2),t_b)|~spl0_5)),
% 0.14/0.36 inference(resolution,[status(thm)],[f49,f13])).
% 0.14/0.36 fof(f76,plain,(
% 0.14/0.36 ~spl0_0|spl0_9|~spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f75,f17,f72,f38])).
% 0.14/0.36 fof(f185,plain,(
% 0.14/0.36 ~c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)=c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)|~spl0_9),
% 0.14/0.36 inference(backward_demodulation,[status(thm)],[f73,f11])).
% 0.14/0.36 fof(f186,plain,(
% 0.14/0.36 $false|~spl0_9),
% 0.14/0.36 inference(trivial_equality_resolution,[status(esa)],[f185])).
% 0.14/0.36 fof(f187,plain,(
% 0.14/0.36 ~spl0_9),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f186])).
% 0.14/0.36 fof(f188,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f42,f46,f48,f76,f187])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37 % Elapsed time: 0.020264 seconds
% 0.14/0.37 % CPU time: 0.037810 seconds
% 0.14/0.37 % Memory used: 4.220 MB
%------------------------------------------------------------------------------