TSTP Solution File: ANA018-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 20:56:13 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.34 fof(f1,negated_conjecture,(
% 0.11/0.34 (![V_U]: (c_lessequals(c_HOL_Oabs(v_f(V_U),t_b),c_times(v_c,c_HOL_Oabs(v_g(V_U),t_b),t_b),t_b) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f2,negated_conjecture,(
% 0.11/0.34 c_less(c_0,v_ca,t_b) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f3,negated_conjecture,(
% 0.11/0.34 (![V_U]: (c_lessequals(c_HOL_Oabs(v_x(V_U),t_b),c_times(v_ca,c_HOL_Oabs(v_f(V_U),t_b),t_b),t_b) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f4,negated_conjecture,(
% 0.11/0.34 ~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f5,negated_conjecture,(
% 0.11/0.34 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f6,axiom,(
% 0.11/0.34 (![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) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f7,axiom,(
% 0.11/0.34 (![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) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f8,axiom,(
% 0.11/0.34 (![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) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f9,axiom,(
% 0.11/0.34 (![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) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f10,axiom,(
% 0.11/0.34 (![T]: (( ~ class_LOrder_Ojoin__semilorder(T)| class_Orderings_Oorder(T) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f11,axiom,(
% 0.11/0.34 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Osemigroup__mult(T) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f12,axiom,(
% 0.11/0.34 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_LOrder_Ojoin__semilorder(T) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f13,axiom,(
% 0.11/0.34 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f14,plain,(
% 0.11/0.34 ![X0]: (c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.34 fof(f15,plain,(
% 0.11/0.34 c_less(c_0,v_ca,t_b)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f2])).
% 0.11/0.34 fof(f16,plain,(
% 0.11/0.34 ![X0]: (c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.34 fof(f17,plain,(
% 0.11/0.34 ~c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f4])).
% 0.11/0.34 fof(f18,plain,(
% 0.11/0.34 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.34 fof(f19,plain,(
% 0.11/0.34 ![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)))),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f6])).
% 0.11/0.34 fof(f20,plain,(
% 0.11/0.34 ![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))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f19])).
% 0.11/0.34 fof(f21,plain,(
% 0.11/0.34 ![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))),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f7])).
% 0.11/0.34 fof(f22,plain,(
% 0.11/0.34 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f21])).
% 0.11/0.34 fof(f23,plain,(
% 0.11/0.34 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_less(X1,X2,X0)|c_lessequals(X1,X2,X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.11/0.34 fof(f24,plain,(
% 0.11/0.34 ![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))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f9])).
% 0.11/0.34 fof(f25,plain,(
% 0.11/0.34 ![X0]: (~class_LOrder_Ojoin__semilorder(X0)|class_Orderings_Oorder(X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f10])).
% 0.11/0.34 fof(f26,plain,(
% 0.11/0.34 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Osemigroup__mult(X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f11])).
% 0.11/0.34 fof(f27,plain,(
% 0.11/0.34 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_LOrder_Ojoin__semilorder(X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.34 fof(f28,plain,(
% 0.11/0.34 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f13])).
% 0.11/0.34 fof(f29,plain,(
% 0.11/0.34 spl0_0 <=> class_Orderings_Oorder(t_b)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f31,plain,(
% 0.11/0.34 ~class_Orderings_Oorder(t_b)|spl0_0),
% 0.11/0.34 inference(component_clause,[status(thm)],[f29])).
% 0.11/0.34 fof(f32,plain,(
% 0.11/0.34 spl0_1 <=> c_lessequals(c_0,v_ca,t_b)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f33,plain,(
% 0.11/0.34 c_lessequals(c_0,v_ca,t_b)|~spl0_1),
% 0.11/0.34 inference(component_clause,[status(thm)],[f32])).
% 0.11/0.34 fof(f35,plain,(
% 0.11/0.34 ~class_Orderings_Oorder(t_b)|c_lessequals(c_0,v_ca,t_b)),
% 0.11/0.34 inference(resolution,[status(thm)],[f23,f15])).
% 0.11/0.34 fof(f36,plain,(
% 0.11/0.34 ~spl0_0|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f35,f29,f32])).
% 0.11/0.34 fof(f37,plain,(
% 0.11/0.34 spl0_2 <=> class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f39,plain,(
% 0.11/0.34 ~class_Ring__and__Field_Opordered__semiring(t_b)|spl0_2),
% 0.11/0.34 inference(component_clause,[status(thm)],[f37])).
% 0.11/0.34 fof(f45,plain,(
% 0.11/0.34 spl0_4 <=> ~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_f(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)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f46,plain,(
% 0.11/0.34 ![X0,X1]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_f(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_4)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f45])).
% 0.11/0.34 fof(f48,plain,(
% 0.11/0.34 ![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_f(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))),
% 0.11/0.34 inference(resolution,[status(thm)],[f24,f14])).
% 0.11/0.34 fof(f49,plain,(
% 0.11/0.34 ~spl0_2|spl0_4),
% 0.11/0.34 inference(split_clause,[status(thm)],[f48,f37,f45])).
% 0.11/0.34 fof(f50,plain,(
% 0.11/0.34 class_OrderedGroup_Osemigroup__mult(t_b)),
% 0.11/0.34 inference(resolution,[status(thm)],[f26,f18])).
% 0.11/0.34 fof(f51,plain,(
% 0.11/0.34 class_LOrder_Ojoin__semilorder(t_b)),
% 0.11/0.34 inference(resolution,[status(thm)],[f27,f18])).
% 0.11/0.34 fof(f52,plain,(
% 0.11/0.34 class_Orderings_Oorder(t_b)),
% 0.11/0.34 inference(resolution,[status(thm)],[f51,f25])).
% 0.11/0.34 fof(f53,plain,(
% 0.11/0.34 $false|spl0_0),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f52,f31])).
% 0.11/0.34 fof(f54,plain,(
% 0.11/0.34 spl0_0),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f53])).
% 0.11/0.34 fof(f60,plain,(
% 0.11/0.34 ![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))),
% 0.11/0.34 inference(resolution,[status(thm)],[f20,f50])).
% 0.11/0.34 fof(f61,plain,(
% 0.11/0.34 class_Ring__and__Field_Opordered__semiring(t_b)),
% 0.11/0.34 inference(resolution,[status(thm)],[f28,f18])).
% 0.11/0.34 fof(f62,plain,(
% 0.11/0.34 $false|spl0_2),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f61,f39])).
% 0.11/0.34 fof(f63,plain,(
% 0.11/0.34 spl0_2),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f62])).
% 0.11/0.34 fof(f79,plain,(
% 0.11/0.34 ~c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b)),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f60,f17])).
% 0.11/0.34 fof(f106,plain,(
% 0.11/0.34 ![X0]: (c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),t_b)|~spl0_4|~spl0_1)),
% 0.11/0.34 inference(resolution,[status(thm)],[f46,f33])).
% 0.11/0.34 fof(f117,plain,(
% 0.11/0.34 spl0_15 <=> ~c_lessequals(X0,c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b)|c_lessequals(X0,c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f118,plain,(
% 0.11/0.34 ![X0,X1]: (~c_lessequals(X0,c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b)|c_lessequals(X0,c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b)|~spl0_15)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f117])).
% 0.11/0.34 fof(f120,plain,(
% 0.11/0.34 ![X0,X1]: (~class_Orderings_Oorder(t_b)|~c_lessequals(X0,c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b)|c_lessequals(X0,c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),t_b)|~spl0_4|~spl0_1)),
% 0.11/0.34 inference(resolution,[status(thm)],[f106,f22])).
% 0.11/0.34 fof(f121,plain,(
% 0.11/0.34 ~spl0_0|spl0_15|~spl0_4|~spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f120,f29,f117,f45,f32])).
% 0.11/0.34 fof(f127,plain,(
% 0.11/0.34 ![X0]: (c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),t_b)|~spl0_15)),
% 0.11/0.34 inference(resolution,[status(thm)],[f118,f16])).
% 0.11/0.34 fof(f128,plain,(
% 0.11/0.34 $false|~spl0_15),
% 0.11/0.34 inference(backward_subsumption_resolution,[status(thm)],[f79,f127])).
% 0.11/0.34 fof(f129,plain,(
% 0.11/0.34 ~spl0_15),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f128])).
% 0.11/0.34 fof(f130,plain,(
% 0.11/0.34 $false),
% 0.11/0.34 inference(sat_refutation,[status(thm)],[f36,f49,f54,f63,f121,f129])).
% 0.11/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.36 % Elapsed time: 0.021150 seconds
% 0.11/0.36 % CPU time: 0.020180 seconds
% 0.11/0.36 % Total memory used: 3.636 MB
% 0.11/0.36 % Net memory used: 3.605 MB
%------------------------------------------------------------------------------