TSTP Solution File: SWW204+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% 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 20:49:49 EDT 2024
% Result : Theorem 2.69s 0.78s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n022.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 : Mon Apr 29 22:57:28 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % Drodi V3.6.0
% 2.69/0.78 % Refutation found
% 2.69/0.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.69/0.78 % SZS output start CNFRefutation for theBenchmark
% 2.69/0.78 fof(f4,axiom,(
% 2.69/0.78 (! [B_n] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,B_n))),v_r)) )),
% 2.69/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.69/0.78 fof(f7,axiom,(
% 2.69/0.78 (! [V_w] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w),V_w)) )),
% 2.69/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.69/0.78 fof(f8,axiom,(
% 2.69/0.78 (! [V_w,V_z] :( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z),V_w))| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w),V_z)) ) )),
% 2.69/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.69/0.78 fof(f9,axiom,(
% 2.69/0.78 (! [V_k,V_j,V_i] :( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_j))=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j),V_k))=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_k)) ) ) )),
% 2.69/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.69/0.78 fof(f10,axiom,(
% 2.69/0.78 (! [V_w,V_z] :( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z),V_w))=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w),V_z))=> V_z = V_w ) ) )),
% 2.69/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.69/0.78 fof(f15,axiom,(
% 2.69/0.78 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) ),
% 2.69/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.69/0.78 fof(f1264,conjecture,(
% 2.69/0.78 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) ),
% 2.69/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.69/0.78 fof(f1265,negated_conjecture,(
% 2.69/0.78 ~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) )),
% 2.69/0.78 inference(negated_conjecture,[status(cth)],[f1264])).
% 2.69/0.78 fof(f1273,plain,(
% 2.69/0.78 ![X0]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)))),
% 2.69/0.78 inference(cnf_transformation,[status(esa)],[f4])).
% 2.69/0.78 fof(f1276,plain,(
% 2.69/0.78 ![X0]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X0)))),
% 2.69/0.78 inference(cnf_transformation,[status(esa)],[f7])).
% 2.69/0.78 fof(f1277,plain,(
% 2.69/0.78 ![X0,X1]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)))),
% 2.69/0.78 inference(cnf_transformation,[status(esa)],[f8])).
% 2.69/0.78 fof(f1278,plain,(
% 2.69/0.78 ![V_k,V_j,V_i]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_j))|(~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j),V_k))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_k))))),
% 2.69/0.78 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.69/0.78 fof(f1279,plain,(
% 2.69/0.78 ![V_j,V_i]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_j))|(![V_k]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j),V_k))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i),V_k)))))),
% 2.69/0.78 inference(miniscoping,[status(esa)],[f1278])).
% 2.69/0.78 fof(f1280,plain,(
% 2.69/0.78 ![X0,X1,X2]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)))),
% 2.69/0.78 inference(cnf_transformation,[status(esa)],[f1279])).
% 2.69/0.78 fof(f1281,plain,(
% 2.69/0.78 ![V_w,V_z]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z),V_w))|(~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w),V_z))|V_z=V_w))),
% 2.69/0.78 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 2.69/0.78 fof(f1282,plain,(
% 2.69/0.78 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))|X0=X1)),
% 2.69/0.78 inference(cnf_transformation,[status(esa)],[f1281])).
% 2.69/0.78 fof(f1301,plain,(
% 2.69/0.78 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),
% 2.69/0.78 inference(cnf_transformation,[status(esa)],[f15])).
% 2.69/0.78 fof(f4623,plain,(
% 2.69/0.78 ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))),
% 2.69/0.78 inference(cnf_transformation,[status(esa)],[f1265])).
% 2.69/0.78 fof(f4786,plain,(
% 2.69/0.78 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 2.69/0.78 inference(resolution,[status(thm)],[f1277,f4623])).
% 2.69/0.78 fof(f4792,plain,(
% 2.69/0.78 ![X0]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),X0)))),
% 2.69/0.78 inference(resolution,[status(thm)],[f1280,f4786])).
% 2.69/0.78 fof(f4793,plain,(
% 2.69/0.78 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),X0))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),X0)))),
% 2.69/0.78 inference(resolution,[status(thm)],[f1280,f1273])).
% 2.69/0.78 fof(f4796,plain,(
% 2.69/0.78 spl0_0 <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))),
% 2.69/0.78 introduced(split_symbol_definition)).
% 2.69/0.78 fof(f4799,plain,(
% 2.69/0.78 spl0_1 <=> v_r=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.69/0.78 introduced(split_symbol_definition)).
% 2.69/0.78 fof(f4800,plain,(
% 2.69/0.78 v_r=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_1),
% 2.69/0.78 inference(component_clause,[status(thm)],[f4799])).
% 2.69/0.78 fof(f4802,plain,(
% 2.69/0.78 ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))|v_r=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 2.69/0.78 inference(resolution,[status(thm)],[f1282,f4786])).
% 2.69/0.78 fof(f4803,plain,(
% 2.69/0.78 ~spl0_0|spl0_1),
% 2.69/0.78 inference(split_clause,[status(thm)],[f4802,f4796,f4799])).
% 2.69/0.78 fof(f4806,plain,(
% 2.69/0.78 ![X0]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),X0))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),
% 2.69/0.78 inference(resolution,[status(thm)],[f4792,f1277])).
% 2.69/0.78 fof(f4816,plain,(
% 2.69/0.78 ![X0,X1]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),X0))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)))),
% 2.69/0.78 inference(resolution,[status(thm)],[f4806,f1280])).
% 2.69/0.78 fof(f4823,plain,(
% 2.69/0.78 ![X0,X1]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),X0))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))),
% 2.69/0.78 inference(resolution,[status(thm)],[f4816,f1277])).
% 2.69/0.78 fof(f4977,plain,(
% 2.69/0.78 spl0_20 <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
% 2.69/0.78 introduced(split_symbol_definition)).
% 2.69/0.78 fof(f4978,plain,(
% 2.69/0.78 ![X0]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|~spl0_20)),
% 2.69/0.78 inference(component_clause,[status(thm)],[f4977])).
% 2.69/0.78 fof(f5279,plain,(
% 2.69/0.78 ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),v_r))|~spl0_1),
% 2.69/0.78 inference(backward_demodulation,[status(thm)],[f4800,f4623])).
% 2.69/0.78 fof(f5280,plain,(
% 2.69/0.78 $false|~spl0_1),
% 2.69/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5279,f1276])).
% 2.69/0.78 fof(f5281,plain,(
% 2.69/0.78 ~spl0_1),
% 2.69/0.78 inference(contradiction_clause,[status(thm)],[f5280])).
% 2.69/0.78 fof(f5282,plain,(
% 2.69/0.78 ![X0]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))))|c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_20)),
% 2.69/0.79 inference(resolution,[status(thm)],[f4978,f1282])).
% 2.69/0.79 fof(f5971,plain,(
% 2.69/0.79 ![X0]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)))),
% 2.69/0.79 inference(resolution,[status(thm)],[f4793,f4823])).
% 2.69/0.79 fof(f5972,plain,(
% 2.69/0.79 spl0_20|spl0_0),
% 2.69/0.79 inference(split_clause,[status(thm)],[f5971,f4977,f4796])).
% 2.69/0.79 fof(f7910,plain,(
% 2.69/0.79 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_20),
% 2.69/0.79 inference(resolution,[status(thm)],[f1301,f5282])).
% 2.69/0.79 fof(f8023,plain,(
% 2.69/0.79 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))|~spl0_20),
% 2.69/0.79 inference(paramodulation,[status(thm)],[f7910,f1273])).
% 2.69/0.79 fof(f8024,plain,(
% 2.69/0.79 $false|~spl0_20),
% 2.69/0.79 inference(forward_subsumption_resolution,[status(thm)],[f8023,f4623])).
% 2.69/0.79 fof(f8025,plain,(
% 2.69/0.79 ~spl0_20),
% 2.69/0.79 inference(contradiction_clause,[status(thm)],[f8024])).
% 2.69/0.79 fof(f8026,plain,(
% 2.69/0.79 $false),
% 2.69/0.79 inference(sat_refutation,[status(thm)],[f4803,f5281,f5972,f8025])).
% 2.69/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 2.69/0.82 % Elapsed time: 0.461597 seconds
% 2.69/0.82 % CPU time: 2.838610 seconds
% 2.69/0.82 % Total memory used: 188.740 MB
% 2.69/0.82 % Net memory used: 187.645 MB
%------------------------------------------------------------------------------