TSTP Solution File: ANA031-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:01:30 EDT 2023
% Result : Unsatisfiable 0.18s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:32:30 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.18/0.38 % Refutation found
% 0.18/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.38 fof(f1,negated_conjecture,(
% 0.18/0.38 (![V_U]: (c_lessequals(c_HOL_Oabs(v_b(V_U),t_b),c_times(v_c,c_HOL_Oabs(v_g(V_U),t_b),t_b),t_b) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f2,negated_conjecture,(
% 0.18/0.38 (![V_U]: (~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(V_U)),t_b),c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),c_times(V_U,c_times(c_HOL_Oabs(v_f(v_x(V_U)),t_b),c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b),t_b) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f3,axiom,(
% 0.18/0.38 (![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) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f4,axiom,(
% 0.18/0.38 (![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) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f5,axiom,(
% 0.18/0.38 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)| c_times(V_a,V_b,T_a) = c_times(V_b,V_a,T_a) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f6,axiom,(
% 0.18/0.38 (![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) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f7,axiom,(
% 0.18/0.38 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__semigroup__mult(T) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f8,axiom,(
% 0.18/0.38 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Osemigroup__mult(T) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f9,axiom,(
% 0.18/0.38 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f10,axiom,(
% 0.18/0.38 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f11,negated_conjecture,(
% 0.18/0.38 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.18/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.38 fof(f12,plain,(
% 0.18/0.38 ![X0]: (c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.18/0.38 fof(f13,plain,(
% 0.18/0.38 ![X0]: (~c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),t_b))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.18/0.38 fof(f14,plain,(
% 0.18/0.38 ![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)))),
% 0.18/0.38 inference(miniscoping,[status(esa)],[f3])).
% 0.18/0.38 fof(f15,plain,(
% 0.18/0.38 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f14])).
% 0.18/0.38 fof(f16,plain,(
% 0.18/0.38 ![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)))),
% 0.18/0.38 inference(miniscoping,[status(esa)],[f4])).
% 0.18/0.38 fof(f17,plain,(
% 0.18/0.38 ![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))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f16])).
% 0.18/0.38 fof(f18,plain,(
% 0.18/0.38 ![T_a]: (~class_OrderedGroup_Oab__semigroup__mult(T_a)|(![V_a,V_b]: c_times(V_a,V_b,T_a)=c_times(V_b,V_a,T_a)))),
% 0.18/0.38 inference(miniscoping,[status(esa)],[f5])).
% 0.18/0.38 fof(f19,plain,(
% 0.18/0.38 ![X0,X1,X2]: (~class_OrderedGroup_Oab__semigroup__mult(X0)|c_times(X1,X2,X0)=c_times(X2,X1,X0))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f18])).
% 0.18/0.38 fof(f20,plain,(
% 0.18/0.38 ![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))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f6])).
% 0.18/0.38 fof(f21,plain,(
% 0.18/0.38 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__semigroup__mult(X0))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f7])).
% 0.18/0.38 fof(f22,plain,(
% 0.18/0.38 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Osemigroup__mult(X0))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.18/0.38 fof(f23,plain,(
% 0.18/0.38 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f9])).
% 0.18/0.38 fof(f24,plain,(
% 0.18/0.38 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f10])).
% 0.18/0.38 fof(f25,plain,(
% 0.18/0.38 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.18/0.38 inference(cnf_transformation,[status(esa)],[f11])).
% 0.18/0.38 fof(f26,plain,(
% 0.18/0.38 class_OrderedGroup_Oab__semigroup__mult(t_b)),
% 0.18/0.38 inference(resolution,[status(thm)],[f21,f25])).
% 0.18/0.38 fof(f27,plain,(
% 0.18/0.38 class_OrderedGroup_Osemigroup__mult(t_b)),
% 0.18/0.38 inference(resolution,[status(thm)],[f22,f25])).
% 0.18/0.38 fof(f28,plain,(
% 0.18/0.38 class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.18/0.38 inference(resolution,[status(thm)],[f23,f25])).
% 0.18/0.38 fof(f29,plain,(
% 0.18/0.38 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.18/0.38 inference(resolution,[status(thm)],[f24,f25])).
% 0.18/0.38 fof(f30,plain,(
% 0.18/0.38 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 0.18/0.38 inference(resolution,[status(thm)],[f29,f15])).
% 0.18/0.38 fof(f31,plain,(
% 0.18/0.38 ![X0,X1]: (c_times(X0,X1,t_b)=c_times(X1,X0,t_b))),
% 0.18/0.38 inference(resolution,[status(thm)],[f19,f26])).
% 0.18/0.38 fof(f34,plain,(
% 0.18/0.38 ![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))),
% 0.18/0.38 inference(resolution,[status(thm)],[f17,f27])).
% 0.18/0.38 fof(f40,plain,(
% 0.18/0.38 ![X0,X1,X2]: (c_times(c_times(X0,X1,t_b),X2,t_b)=c_times(X1,c_times(X0,X2,t_b),t_b))),
% 0.18/0.38 inference(paramodulation,[status(thm)],[f31,f34])).
% 0.18/0.38 fof(f41,plain,(
% 0.18/0.38 ![X0,X1,X2]: (c_times(X0,c_times(X1,X2,t_b),t_b)=c_times(X1,c_times(X0,X2,t_b),t_b))),
% 0.18/0.38 inference(forward_demodulation,[status(thm)],[f34,f40])).
% 0.18/0.38 fof(f354,plain,(
% 0.18/0.38 spl0_0 <=> class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.18/0.38 introduced(split_symbol_definition)).
% 0.18/0.38 fof(f356,plain,(
% 0.18/0.38 ~class_Ring__and__Field_Opordered__semiring(t_b)|spl0_0),
% 0.18/0.38 inference(component_clause,[status(thm)],[f354])).
% 0.18/0.38 fof(f362,plain,(
% 0.18/0.38 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_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b)),
% 0.18/0.38 introduced(split_symbol_definition)).
% 0.18/0.38 fof(f363,plain,(
% 0.18/0.38 ![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_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b)|~spl0_2)),
% 0.18/0.38 inference(component_clause,[status(thm)],[f362])).
% 0.18/0.38 fof(f365,plain,(
% 0.18/0.38 ![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_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b))),
% 0.18/0.38 inference(resolution,[status(thm)],[f20,f12])).
% 0.18/0.38 fof(f366,plain,(
% 0.18/0.38 ~spl0_0|spl0_2),
% 0.18/0.38 inference(split_clause,[status(thm)],[f365,f354,f362])).
% 0.18/0.38 fof(f367,plain,(
% 0.18/0.38 $false|spl0_0),
% 0.18/0.38 inference(forward_subsumption_resolution,[status(thm)],[f356,f28])).
% 0.18/0.38 fof(f368,plain,(
% 0.18/0.38 spl0_0),
% 0.18/0.38 inference(contradiction_clause,[status(thm)],[f367])).
% 0.18/0.38 fof(f487,plain,(
% 0.18/0.38 ![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_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b)|~spl0_2)),
% 0.18/0.38 inference(resolution,[status(thm)],[f363,f30])).
% 0.18/0.38 fof(f488,plain,(
% 0.18/0.38 ![X0,X1]: (c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_b(X1),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b)|~spl0_2)),
% 0.18/0.38 inference(forward_demodulation,[status(thm)],[f41,f487])).
% 0.18/0.38 fof(f494,plain,(
% 0.18/0.38 ![X0,X1]: (c_lessequals(c_times(c_HOL_Oabs(v_b(X0),t_b),c_HOL_Oabs(X1,t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(X1,t_b),c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),t_b)|~spl0_2)),
% 0.18/0.38 inference(paramodulation,[status(thm)],[f31,f488])).
% 0.18/0.38 fof(f500,plain,(
% 0.18/0.38 $false|~spl0_2),
% 0.18/0.38 inference(resolution,[status(thm)],[f494,f13])).
% 0.18/0.38 fof(f501,plain,(
% 0.18/0.38 ~spl0_2),
% 0.18/0.38 inference(contradiction_clause,[status(thm)],[f500])).
% 0.18/0.38 fof(f502,plain,(
% 0.18/0.38 $false),
% 0.18/0.38 inference(sat_refutation,[status(thm)],[f366,f368,f501])).
% 0.18/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.39 % Elapsed time: 0.050316 seconds
% 0.18/0.39 % CPU time: 0.281201 seconds
% 0.18/0.39 % Memory used: 11.481 MB
%------------------------------------------------------------------------------