TSTP Solution File: ANA024-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA024-2 : 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 : Tue Apr 30 20:11:43 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:58:11 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| V_a = c_plus(c_minus(V_a,V_b,T_a),V_b,T_a) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (![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) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,negated_conjecture,(
% 0.13/0.36 (![V_U]: (c_lessequals(v_k(V_U),v_f(V_U),t_b) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,negated_conjecture,(
% 0.13/0.36 ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (![T]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f7,negated_conjecture,(
% 0.13/0.36 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,plain,(
% 0.13/0.36 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: V_a=c_plus(c_minus(V_a,V_b,T_a),V_b,T_a)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.36 fof(f9,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|X1=c_plus(c_minus(X1,X2,X0),X2,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f10,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X0]: (c_lessequals(v_k(X0),v_f(X0),t_b))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 ~c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 ![X0]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f14,f15])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 class_OrderedGroup_Oab__group__add(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f13,f16])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 ![X0,X1]: (X0=c_plus(c_minus(X0,X1,t_b),X1,t_b))),
% 0.13/0.36 inference(resolution,[status(thm)],[f17,f9])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 spl0_0 <=> class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 ~class_OrderedGroup_Opordered__ab__group__add(t_b)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f19])).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 spl0_1 <=> ~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b)|~spl0_1)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f22])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~class_OrderedGroup_Opordered__ab__group__add(t_b)|~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f18,f10])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 ~spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f25,f19,f22])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f21,f16])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f27])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X0,X1]: (c_lessequals(c_minus(v_k(X0),X1,t_b),c_minus(v_f(X0),X1,t_b),t_b)|~spl0_1)),
% 0.13/0.36 inference(resolution,[status(thm)],[f23,f11])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 $false|~spl0_1),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f12,f29])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ~spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f30])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f26,f28,f31])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.016355 seconds
% 0.13/0.37 % CPU time: 0.020017 seconds
% 0.13/0.37 % Total memory used: 2.753 MB
% 0.13/0.37 % Net memory used: 2.642 MB
%------------------------------------------------------------------------------