TSTP Solution File: ANA010-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA010-1 : 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 : Tue Apr 30 20:11:39 EDT 2024
% Result : Unsatisfiable 49.41s 6.71s
% Output : CNFRefutation 50.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ANA010-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 20:49:20 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % Drodi V3.6.0
% 49.41/6.71 % Refutation found
% 49.41/6.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 49.41/6.71 % SZS output start CNFRefutation for theBenchmark
% 49.41/6.71 fof(f1077,axiom,(
% 49.41/6.71 (![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 ) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f1967,axiom,(
% 49.41/6.71 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_Orderings_Oorder(T) ) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f2463,axiom,(
% 49.41/6.71 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f2781,axiom,(
% 49.41/6.71 (![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) ) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f2782,axiom,(
% 49.41/6.71 (![T_a,V_a,V_b]: (( ~ class_Ring__and__Field_Oordered__idom(T_a)| c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f2785,negated_conjecture,(
% 49.41/6.71 (![V_U]: (c_lessequals(c_0,v_f(V_U),t_b) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f2786,negated_conjecture,(
% 49.41/6.71 (![V_U]: (c_lessequals(v_f(V_U),c_times(v_c,v_g(V_U),t_b),t_b) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f2787,negated_conjecture,(
% 49.41/6.71 (![V_U]: (~ c_lessequals(v_f(v_x(V_U)),c_times(V_U,c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b) ))),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f2788,negated_conjecture,(
% 49.41/6.71 class_Ring__and__Field_Oordered__idom(t_b) ),
% 49.41/6.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.41/6.71 fof(f4234,plain,(
% 49.41/6.71 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_lessequals(c_0,X1,X0)|c_HOL_Oabs(X1,X0)=X1)),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f1077])).
% 49.41/6.71 fof(f5407,plain,(
% 49.41/6.71 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_Orderings_Oorder(X0))),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f1967])).
% 49.41/6.71 fof(f5903,plain,(
% 49.41/6.71 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f2463])).
% 49.41/6.71 fof(f6221,plain,(
% 49.41/6.71 ![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))),
% 49.41/6.71 inference(miniscoping,[status(esa)],[f2781])).
% 49.41/6.71 fof(f6222,plain,(
% 49.41/6.71 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f6221])).
% 49.41/6.71 fof(f6223,plain,(
% 49.41/6.71 ![T_a]: (~class_Ring__and__Field_Oordered__idom(T_a)|(![V_a,V_b]: c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a)=c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a)))),
% 49.41/6.71 inference(miniscoping,[status(esa)],[f2782])).
% 49.41/6.71 fof(f6224,plain,(
% 49.41/6.71 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__idom(X0)|c_HOL_Oabs(c_times(X1,X2,X0),X0)=c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0))),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f6223])).
% 49.41/6.71 fof(f6229,plain,(
% 49.41/6.71 ![X0]: (c_lessequals(c_0,v_f(X0),t_b))),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f2785])).
% 49.41/6.71 fof(f6230,plain,(
% 49.41/6.71 ![X0]: (c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b))),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f2786])).
% 49.41/6.71 fof(f6231,plain,(
% 49.41/6.71 ![X0]: (~c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b))),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f2787])).
% 49.41/6.71 fof(f6232,plain,(
% 49.41/6.71 class_Ring__and__Field_Oordered__idom(t_b)),
% 49.41/6.71 inference(cnf_transformation,[status(esa)],[f2788])).
% 49.41/6.71 fof(f7317,plain,(
% 49.41/6.71 ![X0,X1]: (c_HOL_Oabs(c_times(X0,X1,t_b),t_b)=c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b))),
% 49.41/6.71 inference(resolution,[status(thm)],[f6224,f6232])).
% 49.41/6.71 fof(f7549,plain,(
% 49.41/6.71 ![X0]: (~c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b))),
% 49.41/6.71 inference(paramodulation,[status(thm)],[f7317,f6231])).
% 50.17/6.79 fof(f17842,plain,(
% 50.17/6.79 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 50.17/6.79 inference(resolution,[status(thm)],[f5903,f6232])).
% 50.17/6.79 fof(f17936,plain,(
% 50.17/6.79 spl0_402 <=> class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 50.17/6.79 introduced(split_symbol_definition)).
% 50.17/6.79 fof(f17938,plain,(
% 50.17/6.79 ~class_OrderedGroup_Olordered__ab__group__abs(t_b)|spl0_402),
% 50.17/6.79 inference(component_clause,[status(thm)],[f17936])).
% 50.17/6.79 fof(f17954,plain,(
% 50.17/6.79 $false|spl0_402),
% 50.17/6.79 inference(forward_subsumption_resolution,[status(thm)],[f17938,f17842])).
% 50.17/6.79 fof(f17955,plain,(
% 50.17/6.79 spl0_402),
% 50.17/6.79 inference(contradiction_clause,[status(thm)],[f17954])).
% 50.17/6.79 fof(f21060,plain,(
% 50.17/6.79 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(c_0,X1,X0)|~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_HOL_Oabs(X2,X0)=X2)),
% 50.17/6.79 inference(resolution,[status(thm)],[f6222,f4234])).
% 50.17/6.79 fof(f21061,plain,(
% 50.17/6.79 ![X0,X1,X2]: (~c_lessequals(X0,X1,X2)|~c_lessequals(c_0,X0,X2)|~class_OrderedGroup_Olordered__ab__group__abs(X2)|c_HOL_Oabs(X1,X2)=X1)),
% 50.17/6.79 inference(forward_subsumption_resolution,[status(thm)],[f21060,f5407])).
% 50.17/6.79 fof(f21222,plain,(
% 50.17/6.79 spl0_453 <=> ~c_lessequals(v_f(X0),X1,t_b)|c_HOL_Oabs(X1,t_b)=X1),
% 50.17/6.79 introduced(split_symbol_definition)).
% 50.17/6.79 fof(f21223,plain,(
% 50.17/6.79 ![X0,X1]: (~c_lessequals(v_f(X0),X1,t_b)|c_HOL_Oabs(X1,t_b)=X1|~spl0_453)),
% 50.17/6.79 inference(component_clause,[status(thm)],[f21222])).
% 50.17/6.79 fof(f21225,plain,(
% 50.17/6.79 ![X0,X1]: (~c_lessequals(v_f(X0),X1,t_b)|~class_OrderedGroup_Olordered__ab__group__abs(t_b)|c_HOL_Oabs(X1,t_b)=X1)),
% 50.17/6.79 inference(resolution,[status(thm)],[f21061,f6229])).
% 50.17/6.79 fof(f21226,plain,(
% 50.17/6.79 spl0_453|~spl0_402),
% 50.17/6.79 inference(split_clause,[status(thm)],[f21225,f21222,f17936])).
% 50.17/6.79 fof(f21469,plain,(
% 50.17/6.79 ![X0]: (c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b)=c_times(v_c,v_g(X0),t_b)|~spl0_453)),
% 50.17/6.79 inference(resolution,[status(thm)],[f21223,f6230])).
% 50.17/6.79 fof(f38717,plain,(
% 50.17/6.79 ~c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b)|~spl0_453),
% 50.17/6.79 inference(paramodulation,[status(thm)],[f21469,f7549])).
% 50.17/6.79 fof(f38718,plain,(
% 50.17/6.79 $false|~spl0_453),
% 50.17/6.79 inference(forward_subsumption_resolution,[status(thm)],[f38717,f6230])).
% 50.17/6.79 fof(f38719,plain,(
% 50.17/6.79 ~spl0_453),
% 50.17/6.79 inference(contradiction_clause,[status(thm)],[f38718])).
% 50.17/6.79 fof(f38720,plain,(
% 50.17/6.79 $false),
% 50.17/6.79 inference(sat_refutation,[status(thm)],[f17955,f21226,f38719])).
% 50.17/6.79 % SZS output end CNFRefutation for theBenchmark.p
% 51.04/6.97 % Elapsed time: 6.604813 seconds
% 51.04/6.97 % CPU time: 50.804460 seconds
% 51.04/6.97 % Total memory used: 915.027 MB
% 51.04/6.97 % Net memory used: 899.860 MB
%------------------------------------------------------------------------------