TSTP Solution File: SWW232+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW232+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:49:53 EDT 2024
% Result : Theorem 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW232+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:15:58 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.41 % Drodi V3.6.0
% 0.18/0.44 % Refutation found
% 0.18/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.44 fof(f2,axiom,(
% 0.18/0.44 v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 0.18/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f4,axiom,(
% 0.18/0.44 (! [V_a,V_d] :( v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))=> (? [B_r] :(! [B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z))) ) ))) )),
% 0.18/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f1253,hypothesis,(
% 0.18/0.44 ( (? [B_r] :(! [B_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),B_z))) )))=> v_thesis____ ) ),
% 0.18/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f1254,conjecture,(
% 0.18/0.44 v_thesis____ ),
% 0.18/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f1255,negated_conjecture,(
% 0.18/0.44 ~(v_thesis____ )),
% 0.18/0.44 inference(negated_conjecture,[status(cth)],[f1254])).
% 0.18/0.44 fof(f1259,plain,(
% 0.18/0.44 ~v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f2])).
% 0.18/0.44 fof(f1261,plain,(
% 0.18/0.44 ![V_a,V_d]: (v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|(?[B_r]: ![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z))))))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.18/0.44 fof(f1262,plain,(
% 0.18/0.44 v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|(![V_a,V_d]: ?[B_r]: ![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z)))))),
% 0.18/0.44 inference(miniscoping,[status(esa)],[f1261])).
% 0.18/0.44 fof(f1263,plain,(
% 0.18/0.44 v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|(![V_a,V_d]: ![B_z]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1(V_d,V_a),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_d,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,V_a,v_cs____)),B_z)))))),
% 0.18/0.44 inference(skolemization,[status(esa)],[f1262])).
% 0.18/0.44 fof(f1264,plain,(
% 0.18/0.44 ![X0,X1,X2]: (v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X2))))),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f1263])).
% 0.18/0.44 fof(f4738,plain,(
% 0.18/0.44 (![B_r]: ?[B_z]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z))&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),B_z)))))|v_thesis____),
% 0.18/0.44 inference(pre_NNF_transformation,[status(esa)],[f1253])).
% 0.18/0.44 fof(f4739,plain,(
% 0.18/0.44 (![B_r]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_r,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_37(B_r)))&~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sk0_37(B_r))))))|v_thesis____),
% 0.18/0.44 inference(skolemization,[status(esa)],[f4738])).
% 0.18/0.44 fof(f4740,plain,(
% 0.18/0.44 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_37(X0)))|v_thesis____)),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f4739])).
% 0.18/0.44 fof(f4741,plain,(
% 0.18/0.44 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sk0_37(X0))))|v_thesis____)),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f4739])).
% 0.18/0.44 fof(f4742,plain,(
% 0.18/0.44 ~v_thesis____),
% 0.18/0.44 inference(cnf_transformation,[status(esa)],[f1255])).
% 0.18/0.44 fof(f4749,plain,(
% 0.18/0.44 spl0_0 <=> v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f4750,plain,(
% 0.18/0.44 v_cs____=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|~spl0_0),
% 0.18/0.44 inference(component_clause,[status(thm)],[f4749])).
% 0.18/0.44 fof(f4752,plain,(
% 0.18/0.44 spl0_1 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X2)))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f4753,plain,(
% 0.18/0.44 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1(X0,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X2)))|~spl0_1)),
% 0.18/0.44 inference(component_clause,[status(thm)],[f4752])).
% 0.18/0.44 fof(f4755,plain,(
% 0.18/0.44 spl0_0|spl0_1),
% 0.18/0.44 inference(split_clause,[status(thm)],[f1264,f4749,f4752])).
% 0.18/0.44 fof(f4756,plain,(
% 0.18/0.44 spl0_2 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_37(X0)))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f4757,plain,(
% 0.18/0.44 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_37(X0)))|~spl0_2)),
% 0.18/0.44 inference(component_clause,[status(thm)],[f4756])).
% 0.18/0.44 fof(f4759,plain,(
% 0.18/0.44 spl0_3 <=> v_thesis____),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f4760,plain,(
% 0.18/0.44 v_thesis____|~spl0_3),
% 0.18/0.44 inference(component_clause,[status(thm)],[f4759])).
% 0.18/0.44 fof(f4762,plain,(
% 0.18/0.44 spl0_2|spl0_3),
% 0.18/0.44 inference(split_clause,[status(thm)],[f4740,f4756,f4759])).
% 0.18/0.44 fof(f4763,plain,(
% 0.18/0.44 spl0_4 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sk0_37(X0))))),
% 0.18/0.44 introduced(split_symbol_definition)).
% 0.18/0.44 fof(f4764,plain,(
% 0.18/0.44 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sk0_37(X0))))|~spl0_4)),
% 0.18/0.45 inference(component_clause,[status(thm)],[f4763])).
% 0.18/0.45 fof(f4766,plain,(
% 0.18/0.45 spl0_4|spl0_3),
% 0.18/0.45 inference(split_clause,[status(thm)],[f4741,f4763,f4759])).
% 0.18/0.45 fof(f4908,plain,(
% 0.18/0.45 $false|~spl0_3),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f4760,f4742])).
% 0.18/0.45 fof(f4909,plain,(
% 0.18/0.45 ~spl0_3),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f4908])).
% 0.18/0.45 fof(f4910,plain,(
% 0.18/0.45 $false|~spl0_0),
% 0.18/0.45 inference(forward_subsumption_resolution,[status(thm)],[f4750,f1259])).
% 0.18/0.45 fof(f4911,plain,(
% 0.18/0.45 ~spl0_0),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f4910])).
% 0.18/0.45 fof(f4912,plain,(
% 0.18/0.45 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),v_c____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sk0_37(X0)))|~spl0_4|~spl0_1)),
% 0.18/0.45 inference(resolution,[status(thm)],[f4764,f4753])).
% 0.18/0.45 fof(f4913,plain,(
% 0.18/0.45 $false|~spl0_4|~spl0_1|~spl0_2),
% 0.18/0.45 inference(resolution,[status(thm)],[f4912,f4757])).
% 0.18/0.45 fof(f4914,plain,(
% 0.18/0.45 ~spl0_4|~spl0_1|~spl0_2),
% 0.18/0.45 inference(contradiction_clause,[status(thm)],[f4913])).
% 0.18/0.45 fof(f4915,plain,(
% 0.18/0.45 $false),
% 0.18/0.45 inference(sat_refutation,[status(thm)],[f4755,f4762,f4766,f4909,f4911,f4914])).
% 0.18/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.47 % Elapsed time: 0.135808 seconds
% 0.18/0.47 % CPU time: 0.376325 seconds
% 0.18/0.47 % Total memory used: 153.841 MB
% 0.18/0.47 % Net memory used: 152.969 MB
%------------------------------------------------------------------------------