TSTP Solution File: ANA015-2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:11:41 EDT 2024
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 20:58:50 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f1,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f2,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f3,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f4,axiom,(
% 0.15/0.33 (![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) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f5,negated_conjecture,(
% 0.15/0.33 (![V_U]: (c_lessequals(c_HOL_Oabs(v_g(V_U),t_a),c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f6,negated_conjecture,(
% 0.15/0.33 (![V_U]: (~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(V_U)),t_a),t_a),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_a),t_a),t_a) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f7,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Ofield(T)| class_OrderedGroup_Osemigroup__mult(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f8,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_Ring__and__Field_Ofield(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f9,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_Ring__and__Field_Oordered__idom(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f10,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f11,axiom,(
% 0.15/0.33 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f12,negated_conjecture,(
% 0.15/0.33 class_Ring__and__Field_Oordered__field(t_a) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f13,plain,(
% 0.15/0.33 ![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)))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f1])).
% 0.15/0.33 fof(f14,plain,(
% 0.15/0.33 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.33 fof(f15,plain,(
% 0.15/0.33 ![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)))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f2])).
% 0.15/0.33 fof(f16,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.33 fof(f17,plain,(
% 0.15/0.33 ![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)))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f3])).
% 0.15/0.33 fof(f18,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.33 fof(f19,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.33 fof(f20,plain,(
% 0.15/0.33 ![X0]: (c_lessequals(c_HOL_Oabs(v_g(X0),t_a),c_times(v_d,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.33 fof(f21,plain,(
% 0.15/0.33 ![X0]: (~c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X0)),t_a),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.33 fof(f22,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Ofield(X0)|class_OrderedGroup_Osemigroup__mult(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.33 fof(f23,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_Ring__and__Field_Ofield(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.33 fof(f24,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_Ring__and__Field_Oordered__idom(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.33 fof(f25,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.33 fof(f26,plain,(
% 0.15/0.33 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.33 fof(f27,plain,(
% 0.15/0.33 class_Ring__and__Field_Oordered__field(t_a)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.33 fof(f28,plain,(
% 0.15/0.33 class_Ring__and__Field_Ofield(t_a)),
% 0.15/0.33 inference(resolution,[status(thm)],[f23,f27])).
% 0.15/0.33 fof(f29,plain,(
% 0.15/0.33 class_OrderedGroup_Osemigroup__mult(t_a)),
% 0.15/0.33 inference(resolution,[status(thm)],[f28,f22])).
% 0.15/0.33 fof(f30,plain,(
% 0.15/0.33 class_Ring__and__Field_Oordered__idom(t_a)),
% 0.15/0.33 inference(resolution,[status(thm)],[f24,f27])).
% 0.15/0.33 fof(f31,plain,(
% 0.15/0.33 class_Ring__and__Field_Opordered__semiring(t_a)),
% 0.15/0.33 inference(resolution,[status(thm)],[f25,f27])).
% 0.15/0.33 fof(f32,plain,(
% 0.15/0.33 class_OrderedGroup_Olordered__ab__group__abs(t_a)),
% 0.15/0.33 inference(resolution,[status(thm)],[f26,f27])).
% 0.15/0.33 fof(f33,plain,(
% 0.15/0.33 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a))),
% 0.15/0.33 inference(resolution,[status(thm)],[f14,f32])).
% 0.15/0.33 fof(f34,plain,(
% 0.15/0.33 ![X0,X1,X2]: (c_times(c_times(X0,X1,t_a),X2,t_a)=c_times(X0,c_times(X1,X2,t_a),t_a))),
% 0.15/0.33 inference(resolution,[status(thm)],[f16,f29])).
% 0.15/0.33 fof(f38,plain,(
% 0.15/0.33 ![X0,X1]: (~c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X0,X1,t_a))),t_a),t_a),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_a))),t_a),t_a),t_a),t_a))),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f34,f21])).
% 0.15/0.33 fof(f49,plain,(
% 0.15/0.33 ![X0,X1]: (c_HOL_Oabs(c_times(X0,X1,t_a),t_a)=c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a))),
% 0.15/0.33 inference(resolution,[status(thm)],[f18,f30])).
% 0.15/0.33 fof(f61,plain,(
% 0.15/0.33 spl0_0 <=> class_Ring__and__Field_Opordered__semiring(t_a)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f63,plain,(
% 0.15/0.33 ~class_Ring__and__Field_Opordered__semiring(t_a)|spl0_0),
% 0.15/0.33 inference(component_clause,[status(thm)],[f61])).
% 0.15/0.33 fof(f69,plain,(
% 0.15/0.33 spl0_2 <=> ~c_lessequals(c_0,X0,t_a)|c_lessequals(c_times(X0,c_HOL_Oabs(v_g(X1),t_a),t_a),c_times(X0,c_times(v_d,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),t_a)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f70,plain,(
% 0.15/0.33 ![X0,X1]: (~c_lessequals(c_0,X0,t_a)|c_lessequals(c_times(X0,c_HOL_Oabs(v_g(X1),t_a),t_a),c_times(X0,c_times(v_d,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),t_a)|~spl0_2)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f69])).
% 0.15/0.33 fof(f72,plain,(
% 0.15/0.33 ![X0,X1]: (~class_Ring__and__Field_Opordered__semiring(t_a)|~c_lessequals(c_0,X0,t_a)|c_lessequals(c_times(X0,c_HOL_Oabs(v_g(X1),t_a),t_a),c_times(X0,c_times(v_d,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),t_a))),
% 0.15/0.33 inference(resolution,[status(thm)],[f19,f20])).
% 0.15/0.33 fof(f73,plain,(
% 0.15/0.33 ~spl0_0|spl0_2),
% 0.15/0.33 inference(split_clause,[status(thm)],[f72,f61,f69])).
% 0.15/0.33 fof(f74,plain,(
% 0.15/0.33 $false|spl0_0),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f63,f31])).
% 0.15/0.33 fof(f75,plain,(
% 0.15/0.33 spl0_0),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f74])).
% 0.15/0.33 fof(f147,plain,(
% 0.15/0.33 ![X0,X1]: (c_lessequals(c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(v_g(X1),t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),c_times(v_d,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),t_a)|~spl0_2)),
% 0.15/0.33 inference(resolution,[status(thm)],[f70,f33])).
% 0.15/0.33 fof(f148,plain,(
% 0.15/0.33 ![X0,X1]: (c_lessequals(c_HOL_Oabs(c_times(X0,v_g(X1),t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),c_times(v_d,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),t_a)|~spl0_2)),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f49,f147])).
% 0.15/0.33 fof(f149,plain,(
% 0.15/0.33 $false|~spl0_2),
% 0.15/0.33 inference(resolution,[status(thm)],[f148,f38])).
% 0.15/0.33 fof(f150,plain,(
% 0.15/0.33 ~spl0_2),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f149])).
% 0.15/0.33 fof(f151,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f73,f75,f150])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.35 % Elapsed time: 0.019366 seconds
% 0.15/0.35 % CPU time: 0.030382 seconds
% 0.15/0.35 % Total memory used: 4.971 MB
% 0.15/0.35 % Net memory used: 4.931 MB
%------------------------------------------------------------------------------