TSTP Solution File: SWW220+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW220+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:49:51 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWW220+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon Apr 29 23:06:35 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (? [B_f] :( c_SEQ_Osubseq(B_f)& (? [B_z] :(! [B_e] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)=> (? [B_N] :(! [B_n] :( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N),B_n))=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(B_f,B_n)),B_z)),B_e) ) ))) ))) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f1269,hypothesis,(
% 0.12/0.38 (! [B_f] :( c_SEQ_Osubseq(B_f)=> ( (? [B_z] :(! [B_e] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)=> (? [B_N] :(! [B_n] :( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N),B_n))=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(B_f,B_n)),B_z)),B_e) ) )))))=> v_thesis____ ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f1270,conjecture,(
% 0.12/0.38 v_thesis____ ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f1271,negated_conjecture,(
% 0.12/0.38 ~(v_thesis____ )),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f1270])).
% 0.12/0.38 fof(f1280,plain,(
% 0.12/0.38 ?[B_f]: (c_SEQ_Osubseq(B_f)&(?[B_z]: ![B_e]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)|(?[B_N]: ![B_n]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N),B_n))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(B_f,B_n)),B_z)),B_e))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.38 fof(f1281,plain,(
% 0.12/0.38 (c_SEQ_Osubseq(sk0_1)&![B_e]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)|![B_n]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_3(B_e)),B_n))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sk0_1,B_n)),sk0_2)),B_e))))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f1280])).
% 0.12/0.38 fof(f1282,plain,(
% 0.12/0.38 c_SEQ_Osubseq(sk0_1)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f1281])).
% 0.12/0.38 fof(f1283,plain,(
% 0.12/0.38 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_3(X0)),X1))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sk0_1,X1)),sk0_2)),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f1281])).
% 0.12/0.38 fof(f4790,plain,(
% 0.12/0.38 ![B_f]: (~c_SEQ_Osubseq(B_f)|((![B_z]: ?[B_e]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)&(![B_N]: ?[B_n]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N),B_n))&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(B_f,B_n)),B_z)),B_e)))))|v_thesis____))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f1269])).
% 0.12/0.38 fof(f4791,plain,(
% 0.12/0.38 ![B_f]: (~c_SEQ_Osubseq(B_f)|((![B_z]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_78(B_z,B_f))&(![B_N]: (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N),sk0_79(B_N,B_z,B_f)))&~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(B_f,sk0_79(B_N,B_z,B_f))),B_z)),sk0_78(B_z,B_f))))))|v_thesis____))),
% 0.12/0.38 inference(skolemization,[status(esa)],[f4790])).
% 0.12/0.38 fof(f4792,plain,(
% 0.12/0.38 ![X0,X1]: (~c_SEQ_Osubseq(X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_78(X1,X0))|v_thesis____)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f4791])).
% 0.12/0.39 fof(f4793,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_SEQ_Osubseq(X0)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sk0_79(X1,X2,X0)))|v_thesis____)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f4791])).
% 0.12/0.39 fof(f4794,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_SEQ_Osubseq(X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,sk0_79(X1,X2,X0))),X2)),sk0_78(X2,X0))|v_thesis____)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f4791])).
% 0.12/0.39 fof(f4795,plain,(
% 0.12/0.39 ~v_thesis____),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f1271])).
% 0.12/0.39 fof(f4843,plain,(
% 0.12/0.39 spl0_0 <=> ~c_SEQ_Osubseq(X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_78(X1,X0))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f4844,plain,(
% 0.12/0.39 ![X0,X1]: (~c_SEQ_Osubseq(X0)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_78(X1,X0))|~spl0_0)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f4843])).
% 0.12/0.39 fof(f4846,plain,(
% 0.12/0.39 spl0_1 <=> v_thesis____),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f4847,plain,(
% 0.12/0.39 v_thesis____|~spl0_1),
% 0.12/0.39 inference(component_clause,[status(thm)],[f4846])).
% 0.12/0.39 fof(f4849,plain,(
% 0.12/0.39 spl0_0|spl0_1),
% 0.12/0.39 inference(split_clause,[status(thm)],[f4792,f4843,f4846])).
% 0.12/0.39 fof(f4850,plain,(
% 0.12/0.39 spl0_2 <=> ~c_SEQ_Osubseq(X0)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sk0_79(X1,X2,X0)))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f4851,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_SEQ_Osubseq(X0)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sk0_79(X1,X2,X0)))|~spl0_2)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f4850])).
% 0.12/0.39 fof(f4853,plain,(
% 0.12/0.39 spl0_2|spl0_1),
% 0.12/0.39 inference(split_clause,[status(thm)],[f4793,f4850,f4846])).
% 0.12/0.39 fof(f4854,plain,(
% 0.12/0.39 spl0_3 <=> ~c_SEQ_Osubseq(X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,sk0_79(X1,X2,X0))),X2)),sk0_78(X2,X0))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f4855,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~c_SEQ_Osubseq(X0)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,sk0_79(X1,X2,X0))),X2)),sk0_78(X2,X0))|~spl0_3)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f4854])).
% 0.12/0.39 fof(f4857,plain,(
% 0.12/0.39 spl0_3|spl0_1),
% 0.12/0.39 inference(split_clause,[status(thm)],[f4794,f4854,f4846])).
% 0.12/0.39 fof(f5022,plain,(
% 0.12/0.39 $false|~spl0_1),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f4847,f4795])).
% 0.12/0.39 fof(f5023,plain,(
% 0.12/0.39 ~spl0_1),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f5022])).
% 0.12/0.39 fof(f5024,plain,(
% 0.12/0.39 spl0_7 <=> c_SEQ_Osubseq(sk0_1)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f5026,plain,(
% 0.12/0.39 ~c_SEQ_Osubseq(sk0_1)|spl0_7),
% 0.12/0.39 inference(component_clause,[status(thm)],[f5024])).
% 0.12/0.39 fof(f5027,plain,(
% 0.12/0.39 spl0_8 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_78(sk0_2,sk0_1))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f5029,plain,(
% 0.12/0.39 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_78(sk0_2,sk0_1))|spl0_8),
% 0.12/0.39 inference(component_clause,[status(thm)],[f5027])).
% 0.12/0.39 fof(f5030,plain,(
% 0.12/0.39 spl0_9 <=> ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_3(sk0_78(sk0_2,sk0_1))),sk0_79(X0,sk0_2,sk0_1)))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f5031,plain,(
% 0.12/0.39 ![X0]: (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_3(sk0_78(sk0_2,sk0_1))),sk0_79(X0,sk0_2,sk0_1)))|~spl0_9)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f5030])).
% 0.12/0.39 fof(f5033,plain,(
% 0.12/0.39 ![X0]: (~c_SEQ_Osubseq(sk0_1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk0_78(sk0_2,sk0_1))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk0_3(sk0_78(sk0_2,sk0_1))),sk0_79(X0,sk0_2,sk0_1)))|~spl0_3)),
% 0.12/0.40 inference(resolution,[status(thm)],[f4855,f1283])).
% 0.12/0.40 fof(f5034,plain,(
% 0.12/0.40 ~spl0_7|~spl0_8|spl0_9|~spl0_3),
% 0.12/0.40 inference(split_clause,[status(thm)],[f5033,f5024,f5027,f5030,f4854])).
% 0.12/0.40 fof(f5035,plain,(
% 0.12/0.40 $false|spl0_7),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f5026,f1282])).
% 0.12/0.40 fof(f5036,plain,(
% 0.12/0.40 spl0_7),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f5035])).
% 0.12/0.40 fof(f5037,plain,(
% 0.12/0.40 ~c_SEQ_Osubseq(sk0_1)|spl0_8|~spl0_0),
% 0.12/0.40 inference(resolution,[status(thm)],[f5029,f4844])).
% 0.12/0.40 fof(f5038,plain,(
% 0.12/0.40 ~spl0_7|spl0_8|~spl0_0),
% 0.12/0.40 inference(split_clause,[status(thm)],[f5037,f5024,f5027,f4843])).
% 0.12/0.40 fof(f5039,plain,(
% 0.12/0.40 ~c_SEQ_Osubseq(sk0_1)|~spl0_9|~spl0_2),
% 0.12/0.40 inference(resolution,[status(thm)],[f5031,f4851])).
% 0.12/0.40 fof(f5040,plain,(
% 0.12/0.40 ~spl0_7|~spl0_9|~spl0_2),
% 0.12/0.40 inference(split_clause,[status(thm)],[f5039,f5024,f5030,f4850])).
% 0.12/0.40 fof(f5041,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f4849,f4853,f4857,f5023,f5034,f5036,f5038,f5040])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.108900 seconds
% 0.12/0.40 % CPU time: 0.238765 seconds
% 0.12/0.40 % Total memory used: 118.990 MB
% 0.12/0.40 % Net memory used: 118.296 MB
%------------------------------------------------------------------------------