TSTP Solution File: ANA009-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:01:24 EDT 2023
% Result : Unsatisfiable 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:18:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.35 % Refutation found
% 0.19/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.35 fof(f1,axiom,(
% 0.19/0.35 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| ~ c_lessequals(V_a,V_b,T_a)| c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a) ) ))),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f2,axiom,(
% 0.19/0.35 (![T_a,V_a]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_plus(V_a,c_uminus(V_a,T_a),T_a) = c_0 ) ))),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f3,negated_conjecture,(
% 0.19/0.35 (![V_U]: (c_lessequals(v_lb(V_U),v_f(V_U),t_b) ))),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f4,negated_conjecture,(
% 0.19/0.35 ~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b) ),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f5,axiom,(
% 0.19/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ) ))),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f6,axiom,(
% 0.19/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f7,negated_conjecture,(
% 0.19/0.35 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f8,plain,(
% 0.19/0.35 ![T_a,V_a,V_b]: ((~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|~c_lessequals(V_a,V_b,T_a))|(![V_c]: c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a)))),
% 0.19/0.35 inference(miniscoping,[status(esa)],[f1])).
% 0.19/0.35 fof(f9,plain,(
% 0.19/0.35 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|~c_lessequals(X1,X2,X0)|c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.35 fof(f10,plain,(
% 0.19/0.35 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a]: c_plus(V_a,c_uminus(V_a,T_a),T_a)=c_0))),
% 0.19/0.35 inference(miniscoping,[status(esa)],[f2])).
% 0.19/0.35 fof(f11,plain,(
% 0.19/0.35 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_plus(X1,c_uminus(X1,X0),X0)=c_0)),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.35 fof(f12,plain,(
% 0.19/0.35 ![X0]: (c_lessequals(v_lb(X0),v_f(X0),t_b))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.35 fof(f13,plain,(
% 0.19/0.35 ~c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b)),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.35 fof(f14,plain,(
% 0.19/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.35 fof(f15,plain,(
% 0.19/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.35 fof(f16,plain,(
% 0.19/0.35 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.35 fof(f17,plain,(
% 0.19/0.35 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)),
% 0.19/0.35 inference(resolution,[status(thm)],[f14,f16])).
% 0.19/0.35 fof(f18,plain,(
% 0.19/0.35 class_OrderedGroup_Oab__group__add(t_b)),
% 0.19/0.35 inference(resolution,[status(thm)],[f15,f16])).
% 0.19/0.35 fof(f19,plain,(
% 0.19/0.35 ![X0]: (c_plus(X0,c_uminus(X0,t_b),t_b)=c_0)),
% 0.19/0.35 inference(resolution,[status(thm)],[f18,f11])).
% 0.19/0.35 fof(f20,plain,(
% 0.19/0.35 spl0_0 <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)),
% 0.19/0.35 introduced(split_symbol_definition)).
% 0.19/0.35 fof(f22,plain,(
% 0.19/0.35 ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)|spl0_0),
% 0.19/0.35 inference(component_clause,[status(thm)],[f20])).
% 0.19/0.35 fof(f23,plain,(
% 0.19/0.35 spl0_1 <=> c_lessequals(c_plus(v_lb(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b)),
% 0.19/0.35 introduced(split_symbol_definition)).
% 0.19/0.35 fof(f24,plain,(
% 0.19/0.35 ![X0,X1]: (c_lessequals(c_plus(v_lb(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b)|~spl0_1)),
% 0.19/0.35 inference(component_clause,[status(thm)],[f23])).
% 0.19/0.35 fof(f26,plain,(
% 0.19/0.35 ![X0,X1]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)|c_lessequals(c_plus(v_lb(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b))),
% 0.19/0.35 inference(resolution,[status(thm)],[f9,f12])).
% 0.19/0.35 fof(f27,plain,(
% 0.19/0.35 ~spl0_0|spl0_1),
% 0.19/0.35 inference(split_clause,[status(thm)],[f26,f20,f23])).
% 0.19/0.35 fof(f28,plain,(
% 0.19/0.35 $false|spl0_0),
% 0.19/0.35 inference(forward_subsumption_resolution,[status(thm)],[f22,f17])).
% 0.19/0.35 fof(f29,plain,(
% 0.19/0.35 spl0_0),
% 0.19/0.35 inference(contradiction_clause,[status(thm)],[f28])).
% 0.19/0.35 fof(f35,plain,(
% 0.19/0.35 ![X0]: (c_lessequals(c_0,c_plus(v_f(X0),c_uminus(v_lb(X0),t_b),t_b),t_b)|~spl0_1)),
% 0.19/0.35 inference(paramodulation,[status(thm)],[f19,f24])).
% 0.19/0.35 fof(f37,plain,(
% 0.19/0.35 $false|~spl0_1),
% 0.19/0.35 inference(backward_subsumption_resolution,[status(thm)],[f13,f35])).
% 0.19/0.35 fof(f38,plain,(
% 0.19/0.35 ~spl0_1),
% 0.19/0.35 inference(contradiction_clause,[status(thm)],[f37])).
% 0.19/0.35 fof(f39,plain,(
% 0.19/0.35 $false),
% 0.19/0.35 inference(sat_refutation,[status(thm)],[f27,f29,f38])).
% 0.19/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.57 % Elapsed time: 0.013294 seconds
% 0.24/0.57 % CPU time: 0.026584 seconds
% 0.24/0.57 % Memory used: 3.950 MB
%------------------------------------------------------------------------------