TSTP Solution File: ANA034-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ANA034-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA034-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:01:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,axiom,(
% 0.12/0.36 (![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) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,axiom,(
% 0.12/0.36 (![T_a,V_c,V_d,V_a,V_b]: (( ~ class_Ring__and__Field_Opordered__semiring(T_a)| ~ c_lessequals(V_c,V_d,T_a)| ~ c_lessequals(V_a,V_b,T_a)| ~ c_lessequals(c_0,V_c,T_a)| ~ c_lessequals(c_0,V_b,T_a)| c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_d,T_a),T_a) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f3,axiom,(
% 0.12/0.36 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)| ~ c_lessequals(c_0,V_b,T_a)| ~ c_lessequals(c_0,V_a,T_a)| c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f4,axiom,(
% 0.12/0.36 (![T_a,V_x,V_y]: (( ~ class_Orderings_Oorder(T_a)| ~ c_less(V_x,V_y,T_a)| c_lessequals(V_x,V_y,T_a) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f5,axiom,(
% 0.12/0.36 (![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) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f6,negated_conjecture,(
% 0.12/0.36 c_less(c_0,v_c,t_b) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f7,negated_conjecture,(
% 0.12/0.36 c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f8,negated_conjecture,(
% 0.12/0.36 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f9,negated_conjecture,(
% 0.12/0.36 c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f10,negated_conjecture,(
% 0.12/0.36 ~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f11,negated_conjecture,(
% 0.12/0.36 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f12,axiom,(
% 0.12/0.36 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_Orderings_Oorder(T) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f13,axiom,(
% 0.12/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__cancel__semiring(T) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f14,axiom,(
% 0.12/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f15,axiom,(
% 0.12/0.36 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f16,plain,(
% 0.12/0.36 ![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)))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f1])).
% 0.12/0.36 fof(f17,plain,(
% 0.12/0.36 ![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))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.36 fof(f18,plain,(
% 0.12/0.36 ![X0,X1,X2,X3,X4]: (~class_Ring__and__Field_Opordered__semiring(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X4,X0)|~c_lessequals(c_0,X1,X0)|~c_lessequals(c_0,X4,X0)|c_lessequals(c_times(X3,X1,X0),c_times(X4,X2,X0),X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~class_Ring__and__Field_Opordered__cancel__semiring(X0)|~c_lessequals(c_0,X1,X0)|~c_lessequals(c_0,X2,X0)|c_lessequals(c_0,c_times(X2,X1,X0),X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_less(X1,X2,X0)|c_lessequals(X1,X2,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.36 fof(f21,plain,(
% 0.12/0.36 ![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)))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.12/0.36 fof(f23,plain,(
% 0.12/0.36 c_less(c_0,v_c,t_b)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.36 fof(f24,plain,(
% 0.12/0.36 c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.36 fof(f25,plain,(
% 0.12/0.36 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.36 fof(f26,plain,(
% 0.12/0.36 c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)=c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.36 fof(f27,plain,(
% 0.12/0.36 ~c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.36 fof(f28,plain,(
% 0.12/0.36 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.12/0.36 fof(f29,plain,(
% 0.12/0.36 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_Orderings_Oorder(X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.36 fof(f30,plain,(
% 0.12/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__cancel__semiring(X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.36 fof(f31,plain,(
% 0.12/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.12/0.36 fof(f32,plain,(
% 0.12/0.36 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.12/0.36 fof(f33,plain,(
% 0.12/0.36 spl0_0 <=> class_Orderings_Oorder(t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f35,plain,(
% 0.12/0.36 ~class_Orderings_Oorder(t_b)|spl0_0),
% 0.12/0.36 inference(component_clause,[status(thm)],[f33])).
% 0.12/0.36 fof(f36,plain,(
% 0.12/0.36 spl0_1 <=> c_lessequals(c_0,v_c,t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f37,plain,(
% 0.12/0.36 c_lessequals(c_0,v_c,t_b)|~spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f36])).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 ~class_Orderings_Oorder(t_b)|c_lessequals(c_0,v_c,t_b)),
% 0.12/0.36 inference(resolution,[status(thm)],[f20,f23])).
% 0.12/0.36 fof(f40,plain,(
% 0.12/0.36 ~spl0_0|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f39,f33,f36])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 ![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))),
% 0.12/0.36 inference(resolution,[status(thm)],[f17,f28])).
% 0.12/0.36 fof(f42,plain,(
% 0.12/0.36 class_Ring__and__Field_Opordered__cancel__semiring(t_b)),
% 0.12/0.36 inference(resolution,[status(thm)],[f30,f28])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.12/0.36 inference(resolution,[status(thm)],[f31,f28])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.12/0.36 inference(resolution,[status(thm)],[f32,f28])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 class_Orderings_Oorder(t_b)),
% 0.12/0.36 inference(resolution,[status(thm)],[f44,f29])).
% 0.12/0.36 fof(f46,plain,(
% 0.12/0.36 $false|spl0_0),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f45,f35])).
% 0.12/0.36 fof(f47,plain,(
% 0.12/0.36 spl0_0),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f46])).
% 0.12/0.36 fof(f48,plain,(
% 0.12/0.36 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 0.12/0.36 inference(resolution,[status(thm)],[f22,f44])).
% 0.12/0.36 fof(f49,plain,(
% 0.12/0.36 spl0_2 <=> class_Ring__and__Field_Opordered__cancel__semiring(t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f51,plain,(
% 0.12/0.36 ~class_Ring__and__Field_Opordered__cancel__semiring(t_b)|spl0_2),
% 0.12/0.36 inference(component_clause,[status(thm)],[f49])).
% 0.12/0.36 fof(f52,plain,(
% 0.12/0.36 spl0_3 <=> ~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(X0,c_HOL_Oabs(X1,t_b),t_b),t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f53,plain,(
% 0.12/0.36 ![X0,X1]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(X0,c_HOL_Oabs(X1,t_b),t_b),t_b)|~spl0_3)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f52])).
% 0.12/0.36 fof(f55,plain,(
% 0.12/0.36 ![X0,X1]: (~class_Ring__and__Field_Opordered__cancel__semiring(t_b)|~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(X0,c_HOL_Oabs(X1,t_b),t_b),t_b))),
% 0.12/0.36 inference(resolution,[status(thm)],[f19,f48])).
% 0.12/0.36 fof(f56,plain,(
% 0.12/0.36 ~spl0_2|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f55,f49,f52])).
% 0.12/0.36 fof(f62,plain,(
% 0.12/0.36 $false|spl0_2),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f51,f42])).
% 0.12/0.36 fof(f63,plain,(
% 0.12/0.36 spl0_2),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f62])).
% 0.12/0.36 fof(f89,plain,(
% 0.12/0.36 ![X0]: (c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X0,t_b),t_b),t_b)|~spl0_3|~spl0_1)),
% 0.12/0.36 inference(resolution,[status(thm)],[f53,f37])).
% 0.12/0.36 fof(f127,plain,(
% 0.12/0.36 spl0_12 <=> class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f129,plain,(
% 0.12/0.36 ~class_Ring__and__Field_Opordered__semiring(t_b)|spl0_12),
% 0.12/0.36 inference(component_clause,[status(thm)],[f127])).
% 0.12/0.36 fof(f178,plain,(
% 0.12/0.36 spl0_23 <=> ~c_lessequals(X0,X1,t_b)|~c_lessequals(c_0,X1,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X1,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f179,plain,(
% 0.12/0.36 ![X0,X1]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(c_0,X1,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X1,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)|~spl0_23)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f178])).
% 0.12/0.36 fof(f181,plain,(
% 0.12/0.36 spl0_24 <=> c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f183,plain,(
% 0.12/0.36 ~c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)|spl0_24),
% 0.12/0.36 inference(component_clause,[status(thm)],[f181])).
% 0.12/0.36 fof(f184,plain,(
% 0.12/0.36 ![X0,X1]: (~class_Ring__and__Field_Opordered__semiring(t_b)|~c_lessequals(X0,X1,t_b)|~c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)|~c_lessequals(c_0,X1,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(X1,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b))),
% 0.12/0.36 inference(resolution,[status(thm)],[f18,f25])).
% 0.12/0.36 fof(f185,plain,(
% 0.12/0.36 ~spl0_12|spl0_23|~spl0_24),
% 0.12/0.36 inference(split_clause,[status(thm)],[f184,f127,f178,f181])).
% 0.12/0.36 fof(f196,plain,(
% 0.12/0.36 $false|spl0_12),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f129,f43])).
% 0.12/0.36 fof(f197,plain,(
% 0.12/0.36 spl0_12),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f196])).
% 0.12/0.36 fof(f198,plain,(
% 0.12/0.36 $false|spl0_24),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f183,f48])).
% 0.12/0.36 fof(f199,plain,(
% 0.12/0.36 spl0_24),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f198])).
% 0.12/0.36 fof(f241,plain,(
% 0.12/0.36 spl0_34 <=> c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f243,plain,(
% 0.12/0.36 ~c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)|spl0_34),
% 0.12/0.36 inference(component_clause,[status(thm)],[f241])).
% 0.12/0.36 fof(f253,plain,(
% 0.12/0.36 $false|~spl0_3|~spl0_1|spl0_34),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f243,f89])).
% 0.12/0.36 fof(f254,plain,(
% 0.12/0.36 ~spl0_3|~spl0_1|spl0_34),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f253])).
% 0.12/0.36 fof(f288,plain,(
% 0.12/0.36 spl0_40 <=> c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f289,plain,(
% 0.12/0.36 c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)|~spl0_40),
% 0.12/0.36 inference(component_clause,[status(thm)],[f288])).
% 0.12/0.36 fof(f291,plain,(
% 0.12/0.36 ~c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)|c_lessequals(c_times(c_HOL_Oabs(v_a(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)|~spl0_23),
% 0.12/0.36 inference(resolution,[status(thm)],[f179,f24])).
% 0.12/0.36 fof(f292,plain,(
% 0.12/0.36 ~spl0_34|spl0_40|~spl0_23),
% 0.12/0.36 inference(split_clause,[status(thm)],[f291,f241,f288,f178])).
% 0.12/0.36 fof(f293,plain,(
% 0.12/0.36 c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b)|~spl0_40),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f41,f289])).
% 0.12/0.36 fof(f294,plain,(
% 0.12/0.36 c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)|~spl0_40),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f26,f293])).
% 0.12/0.36 fof(f295,plain,(
% 0.12/0.36 $false|~spl0_40),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f294,f27])).
% 0.12/0.36 fof(f296,plain,(
% 0.12/0.36 ~spl0_40),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f295])).
% 0.12/0.36 fof(f297,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f40,f47,f56,f63,f185,f197,f199,f254,f292,f296])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 % Elapsed time: 0.025327 seconds
% 0.12/0.37 % CPU time: 0.046620 seconds
% 0.12/0.37 % Memory used: 10.653 MB
%------------------------------------------------------------------------------