TSTP Solution File: ANA039-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:01:31 EDT 2023
% Result : Unsatisfiable 0.15s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:57:31 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.31 % Refutation found
% 0.15/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.31 fof(f1,negated_conjecture,(
% 0.15/0.31 (![V_U]: (c_lessequals(c_HOL_Oabs(v_h(V_U),t_a),c_times(v_c,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f2,negated_conjecture,(
% 0.15/0.31 ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a) ),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f3,negated_conjecture,(
% 0.15/0.31 class_Ring__and__Field_Oordered__idom(t_a) ),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f4,axiom,(
% 0.15/0.31 (![T_a,V_a]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)| c_lessequals(V_a,c_HOL_Oabs(V_a,T_a),T_a) ) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f5,axiom,(
% 0.15/0.31 (![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) ) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f6,axiom,(
% 0.15/0.31 (![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) ) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f7,axiom,(
% 0.15/0.31 (![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) ) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f8,axiom,(
% 0.15/0.31 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f9,axiom,(
% 0.15/0.31 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Oorder(T) ) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f10,axiom,(
% 0.15/0.31 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f11,plain,(
% 0.15/0.31 ![X0]: (c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.31 fof(f12,plain,(
% 0.15/0.31 ~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.31 fof(f13,plain,(
% 0.15/0.31 class_Ring__and__Field_Oordered__idom(t_a)),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.31 fof(f14,plain,(
% 0.15/0.31 ![T_a]: (~class_OrderedGroup_Olordered__ab__group__abs(T_a)|(![V_a]: c_lessequals(V_a,c_HOL_Oabs(V_a,T_a),T_a)))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f4])).
% 0.15/0.31 fof(f15,plain,(
% 0.15/0.31 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(X1,c_HOL_Oabs(X1,X0),X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.31 fof(f16,plain,(
% 0.15/0.31 ![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)))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f5])).
% 0.15/0.31 fof(f17,plain,(
% 0.15/0.31 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.31 fof(f18,plain,(
% 0.15/0.31 ![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))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f6])).
% 0.15/0.31 fof(f19,plain,(
% 0.15/0.31 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.31 fof(f20,plain,(
% 0.15/0.31 ![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))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.31 fof(f21,plain,(
% 0.15/0.31 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.31 fof(f22,plain,(
% 0.15/0.31 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Oorder(X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.32 fof(f23,plain,(
% 0.15/0.32 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.32 fof(f25,plain,(
% 0.15/0.32 ![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))),
% 0.15/0.32 inference(resolution,[status(thm)],[f19,f22])).
% 0.15/0.32 fof(f26,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_a)|~c_lessequals(X2,X0,t_a)|c_lessequals(X2,X1,t_a))),
% 0.15/0.32 inference(resolution,[status(thm)],[f25,f13])).
% 0.15/0.32 fof(f27,plain,(
% 0.15/0.32 ![X0]: (~c_lessequals(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)|~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),X0,t_a))),
% 0.15/0.32 inference(resolution,[status(thm)],[f26,f12])).
% 0.15/0.32 fof(f34,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,X2)|~c_lessequals(c_0,X3,X2)|c_lessequals(c_times(X0,X3,X2),c_times(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 0.15/0.32 inference(resolution,[status(thm)],[f20,f21])).
% 0.15/0.32 fof(f35,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_a)|~c_lessequals(c_0,X2,t_a)|c_lessequals(c_times(X0,X2,t_a),c_times(X1,X2,t_a),t_a))),
% 0.15/0.32 inference(resolution,[status(thm)],[f34,f13])).
% 0.15/0.32 fof(f36,plain,(
% 0.15/0.32 spl0_0 <=> ~c_lessequals(X0,X1,t_a)|c_lessequals(c_times(X0,c_HOL_Oabs(X2,t_a),t_a),c_times(X1,c_HOL_Oabs(X2,t_a),t_a),t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f37,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_a)|c_lessequals(c_times(X0,c_HOL_Oabs(X2,t_a),t_a),c_times(X1,c_HOL_Oabs(X2,t_a),t_a),t_a)|~spl0_0)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f36])).
% 0.15/0.32 fof(f39,plain,(
% 0.15/0.32 spl0_1 <=> class_OrderedGroup_Olordered__ab__group__abs(t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f40,plain,(
% 0.15/0.32 class_OrderedGroup_Olordered__ab__group__abs(t_a)|~spl0_1),
% 0.15/0.32 inference(component_clause,[status(thm)],[f39])).
% 0.15/0.32 fof(f41,plain,(
% 0.15/0.32 ~class_OrderedGroup_Olordered__ab__group__abs(t_a)|spl0_1),
% 0.15/0.32 inference(component_clause,[status(thm)],[f39])).
% 0.15/0.32 fof(f42,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_a)|c_lessequals(c_times(X0,c_HOL_Oabs(X2,t_a),t_a),c_times(X1,c_HOL_Oabs(X2,t_a),t_a),t_a)|~class_OrderedGroup_Olordered__ab__group__abs(t_a))),
% 0.15/0.32 inference(resolution,[status(thm)],[f35,f17])).
% 0.15/0.32 fof(f43,plain,(
% 0.15/0.32 spl0_0|~spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f42,f36,f39])).
% 0.15/0.32 fof(f47,plain,(
% 0.15/0.32 spl0_3 <=> class_Ring__and__Field_Oordered__idom(t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f49,plain,(
% 0.15/0.32 ~class_Ring__and__Field_Oordered__idom(t_a)|spl0_3),
% 0.15/0.32 inference(component_clause,[status(thm)],[f47])).
% 0.15/0.32 fof(f53,plain,(
% 0.15/0.32 $false|spl0_3),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f49,f13])).
% 0.15/0.32 fof(f54,plain,(
% 0.15/0.32 spl0_3),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f53])).
% 0.15/0.32 fof(f55,plain,(
% 0.15/0.32 ~class_Ring__and__Field_Oordered__idom(t_a)|spl0_1),
% 0.15/0.32 inference(resolution,[status(thm)],[f41,f23])).
% 0.15/0.32 fof(f56,plain,(
% 0.15/0.32 ~spl0_3|spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f55,f47,f39])).
% 0.15/0.32 fof(f57,plain,(
% 0.15/0.32 ![X0]: (c_lessequals(X0,c_HOL_Oabs(X0,t_a),t_a)|~spl0_1)),
% 0.15/0.32 inference(resolution,[status(thm)],[f40,f15])).
% 0.15/0.32 fof(f64,plain,(
% 0.15/0.32 ![X0,X1]: (c_lessequals(c_times(X0,c_HOL_Oabs(X1,t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a),t_a)|~spl0_0|~spl0_1)),
% 0.15/0.32 inference(resolution,[status(thm)],[f37,f57])).
% 0.15/0.32 fof(f76,plain,(
% 0.15/0.32 ~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)|~spl0_0|~spl0_1),
% 0.15/0.32 inference(resolution,[status(thm)],[f64,f27])).
% 0.15/0.32 fof(f77,plain,(
% 0.15/0.32 $false|~spl0_0|~spl0_1),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f76,f11])).
% 0.15/0.32 fof(f78,plain,(
% 0.15/0.32 ~spl0_0|~spl0_1),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f77])).
% 0.15/0.32 fof(f79,plain,(
% 0.15/0.32 $false),
% 0.15/0.32 inference(sat_refutation,[status(thm)],[f43,f54,f56,f78])).
% 0.15/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.53 % Elapsed time: 0.012145 seconds
% 0.15/0.53 % CPU time: 0.016677 seconds
% 0.15/0.53 % Memory used: 1.935 MB
%------------------------------------------------------------------------------