TSTP Solution File: ANA038-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:11:47 EDT 2024
% Result : Unsatisfiable 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.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 : Mon Apr 29 21:16:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.6.0
% 0.20/0.35 % Refutation found
% 0.20/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.35 fof(f1,negated_conjecture,(
% 0.20/0.35 c_lessequals(c_0,v_g(v_xa),t_b) ),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f2,negated_conjecture,(
% 0.20/0.35 c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b) ),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f3,negated_conjecture,(
% 0.20/0.35 ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b) ),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f4,negated_conjecture,(
% 0.20/0.35 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f5,axiom,(
% 0.20/0.35 (![T_b,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_b)| c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b) ) ))),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f6,axiom,(
% 0.20/0.35 (![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) ) ))),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f7,axiom,(
% 0.20/0.35 (![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_a,V_c,T_a),c_times(V_b,V_c,T_a),T_a) ) ))),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f8,axiom,(
% 0.20/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f9,axiom,(
% 0.20/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f10,axiom,(
% 0.20/0.35 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Oorder(T) ) ))),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f11,plain,(
% 0.20/0.35 c_lessequals(c_0,v_g(v_xa),t_b)),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.35 fof(f12,plain,(
% 0.20/0.35 c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b)),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.35 fof(f13,plain,(
% 0.20/0.35 ~c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b)),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.35 fof(f14,plain,(
% 0.20/0.35 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.35 fof(f15,plain,(
% 0.20/0.35 ![T_b]: (~class_Orderings_Olinorder(T_b)|(![V_y,V_x]: c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b)))),
% 0.20/0.35 inference(miniscoping,[status(esa)],[f5])).
% 0.20/0.35 fof(f16,plain,(
% 0.20/0.35 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.35 fof(f17,plain,(
% 0.20/0.35 ![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))),
% 0.20/0.35 inference(miniscoping,[status(esa)],[f6])).
% 0.20/0.35 fof(f18,plain,(
% 0.20/0.35 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.35 fof(f19,plain,(
% 0.20/0.35 ![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(X1,X3,X0),c_times(X2,X3,X0),X0))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.35 fof(f20,plain,(
% 0.20/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.35 fof(f21,plain,(
% 0.20/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.35 fof(f22,plain,(
% 0.20/0.35 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Oorder(X0))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.35 fof(f23,plain,(
% 0.20/0.35 ![X0,X1,X2]: (~class_Ring__and__Field_Oordered__idom(X0)|c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0))),
% 0.20/0.35 inference(resolution,[status(thm)],[f20,f16])).
% 0.20/0.35 fof(f24,plain,(
% 0.20/0.35 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Oordered__idom(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(c_0,X3,X0)|c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,X0),X0))),
% 0.20/0.35 inference(resolution,[status(thm)],[f21,f19])).
% 0.20/0.35 fof(f25,plain,(
% 0.20/0.35 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,X2)|~c_lessequals(X3,X0,X2)|c_lessequals(X3,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 0.20/0.35 inference(resolution,[status(thm)],[f18,f22])).
% 0.20/0.35 fof(f26,plain,(
% 0.20/0.35 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(X2,X0,t_b)|c_lessequals(X2,X1,t_b))),
% 0.20/0.35 inference(resolution,[status(thm)],[f25,f14])).
% 0.20/0.35 fof(f27,plain,(
% 0.20/0.35 ![X0]: (~c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b)|~c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b))),
% 0.20/0.35 inference(resolution,[status(thm)],[f26,f13])).
% 0.20/0.35 fof(f28,plain,(
% 0.20/0.35 spl0_0 <=> ~c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)|~c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f29,plain,(
% 0.20/0.35 ![X0]: (~c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)|~c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)|~spl0_0)),
% 0.20/0.35 inference(component_clause,[status(thm)],[f28])).
% 0.20/0.35 fof(f31,plain,(
% 0.20/0.35 spl0_1 <=> class_Ring__and__Field_Oordered__idom(t_b)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f33,plain,(
% 0.20/0.35 ~class_Ring__and__Field_Oordered__idom(t_b)|spl0_1),
% 0.20/0.35 inference(component_clause,[status(thm)],[f31])).
% 0.20/0.35 fof(f34,plain,(
% 0.20/0.35 spl0_2 <=> c_lessequals(c_0,v_g(v_xa),t_b)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f36,plain,(
% 0.20/0.35 ~c_lessequals(c_0,v_g(v_xa),t_b)|spl0_2),
% 0.20/0.35 inference(component_clause,[status(thm)],[f34])).
% 0.20/0.35 fof(f37,plain,(
% 0.20/0.35 ![X0]: (~c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)|~class_Ring__and__Field_Oordered__idom(t_b)|~c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)|~c_lessequals(c_0,v_g(v_xa),t_b))),
% 0.20/0.35 inference(resolution,[status(thm)],[f27,f24])).
% 0.20/0.35 fof(f38,plain,(
% 0.20/0.35 spl0_0|~spl0_1|~spl0_2),
% 0.20/0.35 inference(split_clause,[status(thm)],[f37,f28,f31,f34])).
% 0.20/0.35 fof(f40,plain,(
% 0.20/0.35 $false|spl0_2),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f36,f11])).
% 0.20/0.35 fof(f41,plain,(
% 0.20/0.35 spl0_2),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f40])).
% 0.20/0.35 fof(f42,plain,(
% 0.20/0.35 $false|spl0_1),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f33,f14])).
% 0.20/0.35 fof(f43,plain,(
% 0.20/0.35 spl0_1),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f42])).
% 0.20/0.35 fof(f44,plain,(
% 0.20/0.35 ~c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b)|~spl0_0),
% 0.20/0.35 inference(resolution,[status(thm)],[f29,f12])).
% 0.20/0.35 fof(f52,plain,(
% 0.20/0.35 ~class_Ring__and__Field_Oordered__idom(t_b)|~spl0_0),
% 0.20/0.35 inference(resolution,[status(thm)],[f44,f23])).
% 0.20/0.35 fof(f53,plain,(
% 0.20/0.35 ~spl0_1|~spl0_0),
% 0.20/0.35 inference(split_clause,[status(thm)],[f52,f31,f28])).
% 0.20/0.35 fof(f55,plain,(
% 0.20/0.35 $false),
% 0.20/0.35 inference(sat_refutation,[status(thm)],[f38,f41,f43,f53])).
% 0.20/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.37 % Elapsed time: 0.018571 seconds
% 0.20/0.37 % CPU time: 0.023892 seconds
% 0.20/0.37 % Total memory used: 5.768 MB
% 0.20/0.37 % Net memory used: 5.762 MB
%------------------------------------------------------------------------------