TSTP Solution File: SWW234+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW234+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 : Wed May 31 12:44:32 EDT 2023
% Result : Theorem 5.55s 1.22s
% Output : CNFRefutation 6.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW234+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n007.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
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:45:32 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.39 % Drodi V3.5.1
% 5.55/1.22 % Refutation found
% 5.55/1.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.55/1.22 % SZS output start CNFRefutation for theBenchmark
% 5.55/1.22 fof(f6,axiom,(
% 5.55/1.22 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)) ),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f7,axiom,(
% 5.55/1.22 (! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) )),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f8,axiom,(
% 5.55/1.22 (! [V_w,V_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) )),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f9,axiom,(
% 5.55/1.22 (! [V_k,V_j,V_i] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) )),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f15,axiom,(
% 5.55/1.22 (! [V_a,T_a] :( class_Groups_Oordered__ab__group__add__abs(T_a)=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) )),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f18,axiom,(
% 5.55/1.22 (! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) )),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f40,axiom,(
% 5.55/1.22 (! [V_a,V_b,V_c,T_a] :( class_Groups_Oordered__comm__monoid__add(T_a)=> ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)=> c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) )),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f1016,axiom,(
% 5.55/1.22 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f1074,axiom,(
% 5.55/1.22 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f1120,axiom,(
% 5.55/1.22 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f1122,axiom,(
% 5.55/1.22 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f1274,conjecture,(
% 5.55/1.22 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)) ),
% 5.55/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.22 fof(f1275,negated_conjecture,(
% 5.55/1.22 ~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)) )),
% 5.55/1.22 inference(negated_conjecture,[status(cth)],[f1274])).
% 5.55/1.22 fof(f1286,plain,(
% 5.55/1.22 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),
% 5.55/1.22 inference(cnf_transformation,[status(esa)],[f6])).
% 5.55/1.22 fof(f1287,plain,(
% 5.55/1.22 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0))),
% 5.55/1.22 inference(cnf_transformation,[status(esa)],[f7])).
% 5.55/1.22 fof(f1288,plain,(
% 5.55/1.22 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 5.55/1.22 inference(cnf_transformation,[status(esa)],[f8])).
% 5.55/1.22 fof(f1289,plain,(
% 5.55/1.22 ![V_k,V_j,V_i]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k)))),
% 5.55/1.22 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 5.55/1.22 fof(f1290,plain,(
% 5.55/1.22 ![V_j,V_i]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)|(![V_k]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k))))),
% 5.55/1.23 inference(miniscoping,[status(esa)],[f1289])).
% 5.55/1.23 fof(f1291,plain,(
% 5.55/1.23 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2))),
% 5.55/1.23 inference(cnf_transformation,[status(esa)],[f1290])).
% 5.55/1.23 fof(f1309,plain,(
% 5.55/1.23 ![V_a,T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)))),
% 5.55/1.23 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 5.55/1.23 fof(f1310,plain,(
% 5.55/1.23 ![T_a]: (~class_Groups_Oordered__ab__group__add__abs(T_a)|(![V_a]: c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a))))),
% 5.55/1.23 inference(miniscoping,[status(esa)],[f1309])).
% 5.55/1.23 fof(f1311,plain,(
% 5.55/1.23 ![X0,X1]: (~class_Groups_Oordered__ab__group__add__abs(X0)|c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)))),
% 5.55/1.23 inference(cnf_transformation,[status(esa)],[f1310])).
% 5.55/1.23 fof(f1316,plain,(
% 5.55/1.23 ![X0]: (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
% 5.55/1.23 inference(cnf_transformation,[status(esa)],[f18])).
% 5.55/1.23 fof(f1401,plain,(
% 5.55/1.23 ![V_a,V_b,V_c,T_a]: (~class_Groups_Oordered__comm__monoid__add(T_a)|(~c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|(~c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)|c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)))))),
% 5.55/1.23 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 5.55/1.23 fof(f1402,plain,(
% 5.55/1.23 ![T_a]: (~class_Groups_Oordered__comm__monoid__add(T_a)|(![V_c]: (~c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|(![V_a,V_b]: (~c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)|c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)))))))),
% 5.55/1.24 inference(miniscoping,[status(esa)],[f1401])).
% 5.55/1.24 fof(f1403,plain,(
% 5.55/1.24 ![X0,X1,X2,X3]: (~class_Groups_Oordered__comm__monoid__add(X0)|~c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),X1)|~c_Orderings_Oord__class_Oless__eq(X0,X2,X3)|c_Orderings_Oord__class_Oless__eq(X0,X2,c_Groups_Oplus__class_Oplus(X0,X3,X1)))),
% 5.55/1.24 inference(cnf_transformation,[status(esa)],[f1402])).
% 5.55/1.24 fof(f4464,plain,(
% 5.55/1.24 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)),
% 5.55/1.24 inference(cnf_transformation,[status(esa)],[f1016])).
% 5.55/1.24 fof(f4522,plain,(
% 5.55/1.24 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)),
% 5.55/1.24 inference(cnf_transformation,[status(esa)],[f1074])).
% 5.55/1.24 fof(f4568,plain,(
% 5.55/1.24 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 5.55/1.24 inference(cnf_transformation,[status(esa)],[f1120])).
% 5.55/1.24 fof(f4570,plain,(
% 5.55/1.24 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)),
% 5.55/1.24 inference(cnf_transformation,[status(esa)],[f1122])).
% 5.55/1.24 fof(f4782,plain,(
% 5.55/1.24 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),
% 5.55/1.24 inference(cnf_transformation,[status(esa)],[f1275])).
% 5.55/1.24 fof(f4942,plain,(
% 5.55/1.24 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))),
% 5.55/1.24 inference(resolution,[status(thm)],[f1291,f1288])).
% 5.55/1.24 fof(f4943,plain,(
% 5.55/1.24 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)))),
% 5.55/1.24 inference(resolution,[status(thm)],[f1291,f4782])).
% 5.55/1.24 fof(f5097,plain,(
% 5.55/1.24 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))),
% 5.55/1.24 inference(forward_demodulation,[status(thm)],[f1316,f1286])).
% 5.55/1.24 fof(f5100,plain,(
% 5.55/1.24 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))),
% 5.55/1.24 inference(resolution,[status(thm)],[f5097,f4943])).
% 5.55/1.24 fof(f5498,plain,(
% 5.55/1.24 spl0_57 <=> class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 5.55/1.24 introduced(split_symbol_definition)).
% 5.55/1.24 fof(f5500,plain,(
% 5.55/1.24 ~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)|spl0_57),
% 5.55/1.24 inference(component_clause,[status(thm)],[f5498])).
% 5.55/1.24 fof(f5511,plain,(
% 5.55/1.24 spl0_60 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0))),
% 5.55/1.24 introduced(split_symbol_definition)).
% 5.55/1.24 fof(f5512,plain,(
% 5.55/1.24 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0))|~spl0_60)),
% 5.55/1.24 inference(component_clause,[status(thm)],[f5511])).
% 5.55/1.24 fof(f5514,plain,(
% 5.55/1.24 ![X0]: (~class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)))),
% 5.55/1.24 inference(paramodulation,[status(thm)],[f1316,f1311])).
% 5.55/1.24 fof(f5515,plain,(
% 5.55/1.24 ~spl0_57|spl0_60),
% 5.55/1.24 inference(split_clause,[status(thm)],[f5514,f5498,f5511])).
% 5.55/1.24 fof(f5622,plain,(
% 5.55/1.24 spl0_68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 5.55/1.24 introduced(split_symbol_definition)).
% 5.55/1.24 fof(f5624,plain,(
% 5.55/1.24 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|spl0_68),
% 5.55/1.24 inference(component_clause,[status(thm)],[f5622])).
% 5.55/1.24 fof(f5647,plain,(
% 5.55/1.24 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X1))),
% 5.55/1.24 inference(resolution,[status(thm)],[f4942,f1291])).
% 5.55/1.24 fof(f5999,plain,(
% 5.55/1.24 $false|spl0_68),
% 5.55/1.24 inference(forward_subsumption_resolution,[status(thm)],[f5624,f1287])).
% 5.55/1.24 fof(f6000,plain,(
% 5.55/1.24 spl0_68),
% 5.55/1.24 inference(contradiction_clause,[status(thm)],[f5999])).
% 5.55/1.24 fof(f6680,plain,(
% 5.55/1.24 spl0_173 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))),
% 5.55/1.24 introduced(split_symbol_definition)).
% 5.55/1.24 fof(f7206,plain,(
% 5.55/1.24 $false|spl0_57),
% 5.55/1.24 inference(forward_subsumption_resolution,[status(thm)],[f4568,f5500])).
% 5.55/1.24 fof(f7207,plain,(
% 5.55/1.24 spl0_57),
% 5.55/1.24 inference(contradiction_clause,[status(thm)],[f7206])).
% 5.55/1.24 fof(f10529,plain,(
% 5.55/1.24 spl0_497 <=> class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)),
% 5.55/1.24 introduced(split_symbol_definition)).
% 5.55/1.24 fof(f10531,plain,(
% 5.55/1.24 ~class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)|spl0_497),
% 5.55/1.24 inference(component_clause,[status(thm)],[f10529])).
% 5.55/1.24 fof(f10562,plain,(
% 5.55/1.24 spl0_504 <=> class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)),
% 5.55/1.24 introduced(split_symbol_definition)).
% 5.55/1.24 fof(f10564,plain,(
% 5.55/1.24 ~class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)|spl0_504),
% 5.55/1.24 inference(component_clause,[status(thm)],[f10562])).
% 5.55/1.24 fof(f10614,plain,(
% 5.55/1.24 $false|spl0_504),
% 5.55/1.24 inference(forward_subsumption_resolution,[status(thm)],[f10564,f4570])).
% 5.55/1.24 fof(f10615,plain,(
% 5.55/1.24 spl0_504),
% 5.55/1.24 inference(contradiction_clause,[status(thm)],[f10614])).
% 5.55/1.24 fof(f10616,plain,(
% 5.55/1.24 $false|spl0_497),
% 5.55/1.24 inference(forward_subsumption_resolution,[status(thm)],[f10531,f4522])).
% 5.55/1.24 fof(f10617,plain,(
% 5.55/1.24 spl0_497),
% 5.55/1.24 inference(contradiction_clause,[status(thm)],[f10616])).
% 5.55/1.24 fof(f11381,plain,(
% 5.55/1.24 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))),
% 6.04/1.26 inference(resolution,[status(thm)],[f5647,f5100])).
% 6.04/1.26 fof(f11382,plain,(
% 6.04/1.26 ~spl0_173),
% 6.04/1.26 inference(split_clause,[status(thm)],[f11381,f6680])).
% 6.04/1.26 fof(f11970,plain,(
% 6.04/1.26 spl0_628 <=> class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)),
% 6.04/1.26 introduced(split_symbol_definition)).
% 6.04/1.26 fof(f11972,plain,(
% 6.04/1.26 ~class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)|spl0_628),
% 6.04/1.26 inference(component_clause,[status(thm)],[f11970])).
% 6.04/1.26 fof(f12171,plain,(
% 6.04/1.26 $false|spl0_628),
% 6.04/1.26 inference(forward_subsumption_resolution,[status(thm)],[f11972,f4464])).
% 6.04/1.26 fof(f12172,plain,(
% 6.04/1.26 spl0_628),
% 6.04/1.26 inference(contradiction_clause,[status(thm)],[f12171])).
% 6.04/1.26 fof(f12273,plain,(
% 6.04/1.26 spl0_681 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))),
% 6.04/1.26 introduced(split_symbol_definition)).
% 6.04/1.26 fof(f12275,plain,(
% 6.04/1.26 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))|spl0_681),
% 6.04/1.26 inference(component_clause,[status(thm)],[f12273])).
% 6.04/1.26 fof(f12276,plain,(
% 6.04/1.26 ~class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
% 6.04/1.26 inference(resolution,[status(thm)],[f1403,f5100])).
% 6.04/1.26 fof(f12277,plain,(
% 6.04/1.26 ~spl0_504|~spl0_681|~spl0_68),
% 6.04/1.26 inference(split_clause,[status(thm)],[f12276,f10562,f12273,f5622])).
% 6.04/1.26 fof(f12383,plain,(
% 6.04/1.26 $false|~spl0_60|spl0_681),
% 6.04/1.26 inference(forward_subsumption_resolution,[status(thm)],[f12275,f5512])).
% 6.04/1.26 fof(f12384,plain,(
% 6.04/1.26 ~spl0_60|spl0_681),
% 6.04/1.26 inference(contradiction_clause,[status(thm)],[f12383])).
% 6.04/1.26 fof(f12385,plain,(
% 6.04/1.26 $false),
% 6.04/1.26 inference(sat_refutation,[status(thm)],[f5515,f6000,f7207,f10615,f10617,f11382,f12172,f12277,f12384])).
% 6.04/1.26 % SZS output end CNFRefutation for theBenchmark.p
% 6.09/1.26 % Elapsed time: 0.943280 seconds
% 6.09/1.26 % CPU time: 6.121481 seconds
% 6.09/1.26 % Memory used: 191.360 MB
%------------------------------------------------------------------------------