TSTP Solution File: ANA017-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA017-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:01:26 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA017-2 : 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 : n028.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 10:15:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 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,negated_conjecture,(
% 0.13/0.36 (![V_U]: (c_lessequals(c_HOL_Oabs(v_b(V_U),t_b),c_times(v_ca,c_HOL_Oabs(v_f(V_U),t_b),t_b),t_b) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,negated_conjecture,(
% 0.13/0.36 (![V_U]: (~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(V_U)),t_b),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,negated_conjecture,(
% 0.13/0.36 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (![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) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Osemigroup__mult(T_a)| c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,V_c,T_a),T_a) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (![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) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (![T_a,V_a,V_b,V_c]: (( ~ class_Ring__and__Field_Opordered__semiring(T_a)| ~ c_lessequals(V_a,V_b,T_a)| ~ c_lessequals(c_0,V_c,T_a)| c_lessequals(c_times(V_c,V_a,T_a),c_times(V_c,V_b,T_a),T_a) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Osemigroup__mult(T) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,axiom,(
% 0.13/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,axiom,(
% 0.13/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X0]: (c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 ![X0]: (~c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ![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)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![T_a]: (~class_OrderedGroup_Osemigroup__mult(T_a)|(![V_a,V_b,V_c]: c_times(c_times(V_a,V_b,T_a),V_c,T_a)=c_times(V_a,c_times(V_b,V_c,T_a),T_a)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~class_OrderedGroup_Osemigroup__mult(X0)|c_times(c_times(X1,X2,X0),X3,X0)=c_times(X1,c_times(X2,X3,X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 ![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)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Opordered__semiring(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(c_0,X3,X0)|c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Osemigroup__mult(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(resolution,[status(thm)],[f19,f13])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 class_OrderedGroup_Osemigroup__mult(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f21,f13])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f22,f13])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f23,f13])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 0.13/0.36 inference(resolution,[status(thm)],[f15,f28])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![X0,X1,X2]: (c_times(c_times(X0,X1,t_b),X2,t_b)=c_times(X0,c_times(X1,X2,t_b),t_b))),
% 0.13/0.36 inference(resolution,[status(thm)],[f17,f26])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![X0,X1]: (~c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(c_times(X0,X1,t_b))),t_b),t_b),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_b))),t_b),t_b),t_b),t_b))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f30,f12])).
% 0.13/0.36 fof(f73,plain,(
% 0.13/0.36 spl0_0 <=> class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f75,plain,(
% 0.13/0.36 ~class_Ring__and__Field_Opordered__semiring(t_b)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 spl0_2 <=> ~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(X1),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),t_b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f82,plain,(
% 0.13/0.36 ![X0,X1]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(X1),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),t_b)|~spl0_2)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.36 fof(f84,plain,(
% 0.13/0.36 ![X0,X1]: (~class_Ring__and__Field_Opordered__semiring(t_b)|~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(X1),t_b),t_b),c_times(X0,c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),t_b))),
% 0.13/0.36 inference(resolution,[status(thm)],[f20,f11])).
% 0.13/0.36 fof(f85,plain,(
% 0.13/0.36 ~spl0_0|spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f84,f73,f81])).
% 0.13/0.36 fof(f86,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f75,f27])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f86])).
% 0.13/0.36 fof(f137,plain,(
% 0.13/0.36 ![X0,X1]: (c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_b(X1),t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),t_b)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f82,f29])).
% 0.13/0.36 fof(f138,plain,(
% 0.13/0.36 ![X0,X1]: (c_lessequals(c_HOL_Oabs(c_times(X0,v_b(X1),t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),t_b)|~spl0_2)),
% 0.20/0.36 inference(forward_demodulation,[status(thm)],[f24,f137])).
% 0.20/0.36 fof(f217,plain,(
% 0.20/0.36 $false|~spl0_2),
% 0.20/0.36 inference(resolution,[status(thm)],[f36,f138])).
% 0.20/0.36 fof(f218,plain,(
% 0.20/0.36 ~spl0_2),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f217])).
% 0.20/0.36 fof(f219,plain,(
% 0.20/0.36 $false),
% 0.20/0.36 inference(sat_refutation,[status(thm)],[f85,f87,f218])).
% 0.20/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.37 % Elapsed time: 0.021635 seconds
% 0.20/0.37 % CPU time: 0.049381 seconds
% 0.20/0.37 % Memory used: 4.656 MB
%------------------------------------------------------------------------------