TSTP Solution File: ALG406-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% 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 20:11:31 EDT 2024
% Result : Unsatisfiable 29.16s 4.12s
% Output : CNFRefutation 29.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:24:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.39 % Drodi V3.6.0
% 29.16/4.12 % Refutation found
% 29.16/4.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 29.16/4.12 % SZS output start CNFRefutation for theBenchmark
% 29.16/4.12 fof(f36,axiom,(
% 29.16/4.12 (![T_a,V_x]: (( ~ class_RealVector_Oreal__normed__vector(T_a)| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f91,axiom,(
% 29.16/4.12 (![V_x,V_z,V_y]: (( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f276,axiom,(
% 29.16/4.12 (![T_a,V_b]: (( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f334,axiom,(
% 29.16/4.12 (![V_x,V_y]: (( c_lessequals(V_x,V_y,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f337,axiom,(
% 29.16/4.12 (![V_x,V_y]: (( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| V_x = V_y| ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f407,axiom,(
% 29.16/4.12 (![V_x]: (~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f501,axiom,(
% 29.16/4.12 (![V_x]: (c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f502,axiom,(
% 29.16/4.12 (![V_x]: (c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f507,axiom,(
% 29.16/4.12 (![V_x]: (c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f508,axiom,(
% 29.16/4.12 c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f521,axiom,(
% 29.16/4.12 (![V_w,V_z]: (( c_lessequals(V_w,V_z,tc_RealDef_Oreal)| c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f525,axiom,(
% 29.16/4.12 (![V_w]: (c_lessequals(V_w,V_w,tc_RealDef_Oreal) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f526,axiom,(
% 29.16/4.12 (![V_i,V_k,V_j]: (( c_lessequals(V_i,V_k,tc_RealDef_Oreal)| ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)| ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f543,axiom,(
% 29.16/4.12 (![V_z,V_w]: (( V_z = V_w| ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)| ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f552,axiom,(
% 29.16/4.12 (![V_z]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f556,axiom,(
% 29.16/4.12 (![V_z,V_w]: (c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ))),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f559,negated_conjecture,(
% 29.16/4.12 ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f598,axiom,(
% 29.16/4.12 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 29.16/4.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.12 fof(f600,axiom,(
% 29.16/4.13 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 29.16/4.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.13 fof(f639,axiom,(
% 29.16/4.13 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 29.16/4.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.13 fof(f659,axiom,(
% 29.16/4.13 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 29.16/4.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 29.16/4.13 fof(f737,plain,(
% 29.16/4.13 ![T_a]: (~class_RealVector_Oreal__normed__vector(T_a)|(![V_x]: ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)))),
% 29.16/4.13 inference(miniscoping,[status(esa)],[f36])).
% 29.16/4.13 fof(f738,plain,(
% 29.16/4.13 ![X0,X1]: (~class_RealVector_Oreal__normed__vector(X0)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f737])).
% 29.16/4.13 fof(f824,plain,(
% 29.16/4.13 ![V_z]: ((![V_x,V_y]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal))),
% 29.16/4.13 inference(miniscoping,[status(esa)],[f91])).
% 29.16/4.13 fof(f825,plain,(
% 29.16/4.13 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f824])).
% 29.16/4.13 fof(f1105,plain,(
% 29.16/4.13 ![T_a]: (~class_Ring__and__Field_Oring__no__zero__divisors(T_a)|(![V_b]: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 29.16/4.13 inference(miniscoping,[status(esa)],[f276])).
% 29.16/4.13 fof(f1106,plain,(
% 29.16/4.13 ![X0,X1]: (~class_Ring__and__Field_Oring__no__zero__divisors(X0)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0)=c_HOL_Ozero__class_Ozero(X0))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f1105])).
% 29.16/4.13 fof(f1210,plain,(
% 29.16/4.13 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f334])).
% 29.16/4.13 fof(f1213,plain,(
% 29.16/4.13 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|X0=X1|~c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f337])).
% 29.16/4.13 fof(f1314,plain,(
% 29.16/4.13 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f407])).
% 29.16/4.13 fof(f1453,plain,(
% 29.16/4.13 ![X0]: (c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f501])).
% 29.16/4.13 fof(f1454,plain,(
% 29.16/4.13 ![X0]: (c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f502])).
% 29.16/4.13 fof(f1460,plain,(
% 29.16/4.13 ![X0]: (c_lessequals(c_Complex_ORe(X0),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f507])).
% 29.16/4.13 fof(f1461,plain,(
% 29.16/4.13 c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f508])).
% 29.16/4.13 fof(f1486,plain,(
% 29.16/4.13 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|c_lessequals(X1,X0,tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f521])).
% 29.16/4.13 fof(f1492,plain,(
% 29.16/4.13 ![X0]: (c_lessequals(X0,X0,tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f525])).
% 29.16/4.13 fof(f1493,plain,(
% 29.16/4.13 ![V_i,V_j]: ((![V_k]: (c_lessequals(V_i,V_k,tc_RealDef_Oreal)|~c_lessequals(V_j,V_k,tc_RealDef_Oreal)))|~c_lessequals(V_i,V_j,tc_RealDef_Oreal))),
% 29.16/4.13 inference(miniscoping,[status(esa)],[f526])).
% 29.16/4.13 fof(f1494,plain,(
% 29.16/4.13 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X0,X2,tc_RealDef_Oreal))),
% 29.16/4.13 inference(cnf_transformation,[status(esa)],[f1493])).
% 29.16/4.13 fof(f1522,plain,(
% 29.16/4.14 ![X0,X1]: (X0=X1|~c_lessequals(X1,X0,tc_RealDef_Oreal)|~c_lessequals(X0,X1,tc_RealDef_Oreal))),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f543])).
% 29.16/4.14 fof(f1539,plain,(
% 29.16/4.14 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f552])).
% 29.16/4.14 fof(f1546,plain,(
% 29.16/4.14 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal))),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f556])).
% 29.16/4.14 fof(f1550,plain,(
% 29.16/4.14 ~c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f559])).
% 29.16/4.14 fof(f1589,plain,(
% 29.16/4.14 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f598])).
% 29.16/4.14 fof(f1591,plain,(
% 29.16/4.14 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f600])).
% 29.16/4.14 fof(f1630,plain,(
% 29.16/4.14 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal)),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f639])).
% 29.16/4.14 fof(f1650,plain,(
% 29.16/4.14 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)),
% 29.16/4.14 inference(cnf_transformation,[status(esa)],[f659])).
% 29.16/4.14 fof(f1671,plain,(
% 29.16/4.14 ~c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 29.16/4.14 inference(backward_demodulation,[status(thm)],[f1539,f1550])).
% 29.16/4.14 fof(f1680,plain,(
% 29.16/4.14 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|X0=X1|c_lessequals(X1,X0,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f1213,f1486])).
% 29.16/4.14 fof(f1717,plain,(
% 29.16/4.14 c_lessequals(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1671,f1486])).
% 29.16/4.14 fof(f1718,plain,(
% 29.16/4.14 ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1671,f1210])).
% 29.16/4.14 fof(f1722,plain,(
% 29.16/4.14 spl0_7 <=> c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f1723,plain,(
% 29.16/4.14 c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)|~spl0_7),
% 29.16/4.14 inference(component_clause,[status(thm)],[f1722])).
% 29.16/4.14 fof(f1724,plain,(
% 29.16/4.14 ~c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)|spl0_7),
% 29.16/4.14 inference(component_clause,[status(thm)],[f1722])).
% 29.16/4.14 fof(f1737,plain,(
% 29.16/4.14 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 29.16/4.14 inference(paramodulation,[status(thm)],[f1539,f825])).
% 29.16/4.14 fof(f1750,plain,(
% 29.16/4.14 ![X0,X1]: (X0=X1|~c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f1522,f1210])).
% 29.16/4.14 fof(f1753,plain,(
% 29.16/4.14 ~c_lessequals(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)|~spl0_7),
% 29.16/4.14 inference(backward_demodulation,[status(thm)],[f1723,f1671])).
% 29.16/4.14 fof(f1754,plain,(
% 29.16/4.14 $false|~spl0_7),
% 29.16/4.14 inference(forward_subsumption_resolution,[status(thm)],[f1753,f1492])).
% 29.16/4.14 fof(f1755,plain,(
% 29.16/4.14 ~spl0_7),
% 29.16/4.14 inference(contradiction_clause,[status(thm)],[f1754])).
% 29.16/4.14 fof(f1766,plain,(
% 29.16/4.14 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|X0=X1|c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)|X1=X0)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1680,f1213])).
% 29.16/4.14 fof(f1767,plain,(
% 29.16/4.14 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|X0=X1|c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 29.16/4.14 inference(duplicate_literals_removal,[status(esa)],[f1766])).
% 29.16/4.14 fof(f1774,plain,(
% 29.16/4.14 ![X0,X1]: (X0=X1|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f1750,f1210])).
% 29.16/4.14 fof(f1843,plain,(
% 29.16/4.14 spl0_24 <=> c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=v_t____),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f1844,plain,(
% 29.16/4.14 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=v_t____|~spl0_24),
% 29.16/4.14 inference(component_clause,[status(thm)],[f1843])).
% 29.16/4.14 fof(f1846,plain,(
% 29.16/4.14 spl0_25 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f1848,plain,(
% 29.16/4.14 ~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)|spl0_25),
% 29.16/4.14 inference(component_clause,[status(thm)],[f1846])).
% 29.16/4.14 fof(f1849,plain,(
% 29.16/4.14 c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=v_t____|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1774,f1461])).
% 29.16/4.14 fof(f1850,plain,(
% 29.16/4.14 spl0_24|~spl0_25),
% 29.16/4.14 inference(split_clause,[status(thm)],[f1849,f1843,f1846])).
% 29.16/4.14 fof(f1853,plain,(
% 29.16/4.14 spl0_26 <=> c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f1856,plain,(
% 29.16/4.14 c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|v_t____=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|spl0_25),
% 29.16/4.14 inference(resolution,[status(thm)],[f1848,f1767])).
% 29.16/4.14 fof(f1857,plain,(
% 29.16/4.14 spl0_26|spl0_24|spl0_25),
% 29.16/4.14 inference(split_clause,[status(thm)],[f1856,f1853,f1843,f1846])).
% 29.16/4.14 fof(f1860,plain,(
% 29.16/4.14 c_HOL_Oord__class_Oless(v_t____,v_t____,tc_RealDef_Oreal)|~spl0_24),
% 29.16/4.14 inference(backward_demodulation,[status(thm)],[f1844,f1461])).
% 29.16/4.14 fof(f1861,plain,(
% 29.16/4.14 $false|~spl0_24),
% 29.16/4.14 inference(forward_subsumption_resolution,[status(thm)],[f1860,f1314])).
% 29.16/4.14 fof(f1862,plain,(
% 29.16/4.14 ~spl0_24),
% 29.16/4.14 inference(contradiction_clause,[status(thm)],[f1861])).
% 29.16/4.14 fof(f1950,plain,(
% 29.16/4.14 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X0,X2,tc_RealDef_Oreal)|c_lessequals(X1,X2,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f1494,f1486])).
% 29.16/4.14 fof(f1957,plain,(
% 29.16/4.14 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_lessequals(X2,X1,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(X2,X0,tc_RealDef_Oreal)|X2=X0)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1494,f1680])).
% 29.16/4.14 fof(f4214,plain,(
% 29.16/4.14 spl0_149 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f4216,plain,(
% 29.16/4.14 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)|spl0_149),
% 29.16/4.14 inference(component_clause,[status(thm)],[f4214])).
% 29.16/4.14 fof(f4307,plain,(
% 29.16/4.14 spl0_162 <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f4308,plain,(
% 29.16/4.14 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_162),
% 29.16/4.14 inference(component_clause,[status(thm)],[f4307])).
% 29.16/4.14 fof(f4310,plain,(
% 29.16/4.14 spl0_163 <=> c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f4311,plain,(
% 29.16/4.14 c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~spl0_163),
% 29.16/4.14 inference(component_clause,[status(thm)],[f4310])).
% 29.16/4.14 fof(f4313,plain,(
% 29.16/4.14 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|spl0_149),
% 29.16/4.14 inference(resolution,[status(thm)],[f4216,f1767])).
% 29.16/4.14 fof(f4314,plain,(
% 29.16/4.14 spl0_162|spl0_163|spl0_149),
% 29.16/4.14 inference(split_clause,[status(thm)],[f4313,f4307,f4310,f4214])).
% 29.16/4.14 fof(f4518,plain,(
% 29.16/4.14 ~c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex)=c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_163|spl0_7),
% 29.16/4.14 inference(backward_demodulation,[status(thm)],[f4311,f1724])).
% 29.16/4.14 fof(f4519,plain,(
% 29.16/4.14 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_163|spl0_7),
% 29.16/4.14 inference(forward_demodulation,[status(thm)],[f4311,f4518])).
% 29.16/4.14 fof(f4520,plain,(
% 29.16/4.14 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)|~spl0_163|spl0_7),
% 29.16/4.14 inference(forward_demodulation,[status(thm)],[f1546,f4519])).
% 29.16/4.14 fof(f4560,plain,(
% 29.16/4.14 spl0_169 <=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f4561,plain,(
% 29.16/4.14 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)|~spl0_169),
% 29.16/4.14 inference(component_clause,[status(thm)],[f4560])).
% 29.16/4.14 fof(f4562,plain,(
% 29.16/4.14 ~c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)|spl0_169),
% 29.16/4.14 inference(component_clause,[status(thm)],[f4560])).
% 29.16/4.14 fof(f4800,plain,(
% 29.16/4.14 $false|~spl0_163|spl0_7|~spl0_169),
% 29.16/4.14 inference(forward_subsumption_resolution,[status(thm)],[f4561,f4520])).
% 29.16/4.14 fof(f4801,plain,(
% 29.16/4.14 ~spl0_163|spl0_7|~spl0_169),
% 29.16/4.14 inference(contradiction_clause,[status(thm)],[f4800])).
% 29.16/4.14 fof(f9656,plain,(
% 29.16/4.14 ![X0,X1]: (c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),X0,tc_RealDef_Oreal)|c_Transcendental_Osin(X1)=X0)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1453,f1957])).
% 29.16/4.14 fof(f9661,plain,(
% 29.16/4.14 ![X0,X1]: (c_lessequals(c_Transcendental_Osin(X0),X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f1453,f1494])).
% 29.16/4.14 fof(f9669,plain,(
% 29.16/4.14 ![X0,X1]: (c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),X0,tc_RealDef_Oreal)|c_Transcendental_Ocos(X1)=X0)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1454,f1957])).
% 29.16/4.14 fof(f9674,plain,(
% 29.16/4.14 ![X0,X1]: (c_lessequals(c_Transcendental_Ocos(X0),X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f1454,f1494])).
% 29.16/4.14 fof(f11007,plain,(
% 29.16/4.14 ![X0,X1]: (~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),X0,tc_RealDef_Oreal)|c_Transcendental_Osin(X1)=X0)),
% 29.16/4.14 inference(resolution,[status(thm)],[f9661,f1213])).
% 29.16/4.14 fof(f11144,plain,(
% 29.16/4.14 ![X0,X1]: (~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),X0,tc_RealDef_Oreal)|c_Transcendental_Ocos(X1)=X0)),
% 29.16/4.14 inference(resolution,[status(thm)],[f9674,f1213])).
% 29.16/4.14 fof(f11367,plain,(
% 29.16/4.14 ![X0,X1]: (c_lessequals(c_Complex_ORe(X0),X1,tc_RealDef_Oreal)|~c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),X1,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f1460,f1494])).
% 29.16/4.14 fof(f11411,plain,(
% 29.16/4.14 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)|~spl0_162),
% 29.16/4.14 inference(resolution,[status(thm)],[f738,f4308])).
% 29.16/4.14 fof(f11412,plain,(
% 29.16/4.14 $false|~spl0_162),
% 29.16/4.14 inference(forward_subsumption_resolution,[status(thm)],[f11411,f1650])).
% 29.16/4.14 fof(f11413,plain,(
% 29.16/4.14 ~spl0_162),
% 29.16/4.14 inference(contradiction_clause,[status(thm)],[f11412])).
% 29.16/4.14 fof(f13303,plain,(
% 29.16/4.14 spl0_839 <=> c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_Transcendental_Ocos(X0)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f13308,plain,(
% 29.16/4.14 spl0_840 <=> c_HOL_Oord__class_Oless(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_Transcendental_Osin(X0)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f14518,plain,(
% 29.16/4.14 c_lessequals(c_Complex_ORe(v_w____),c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.14 inference(resolution,[status(thm)],[f1717,f11367])).
% 29.16/4.14 fof(f14564,plain,(
% 29.16/4.14 ![X0]: (c_lessequals(c_Complex_ORe(v_w____),X0,tc_RealDef_Oreal)|c_lessequals(X0,c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f14518,f1950])).
% 29.16/4.14 fof(f14565,plain,(
% 29.16/4.14 ![X0]: (c_lessequals(c_Complex_ORe(v_w____),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f14518,f1494])).
% 29.16/4.14 fof(f14840,plain,(
% 29.16/4.14 spl0_994 <=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f14842,plain,(
% 29.16/4.14 ~class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)|spl0_994),
% 29.16/4.14 inference(component_clause,[status(thm)],[f14840])).
% 29.16/4.14 fof(f14866,plain,(
% 29.16/4.14 $false|spl0_994),
% 29.16/4.14 inference(forward_subsumption_resolution,[status(thm)],[f14842,f1591])).
% 29.16/4.14 fof(f14867,plain,(
% 29.16/4.14 spl0_994),
% 29.16/4.14 inference(contradiction_clause,[status(thm)],[f14866])).
% 29.16/4.14 fof(f14868,plain,(
% 29.16/4.14 ~class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)|spl0_169),
% 29.16/4.14 inference(resolution,[status(thm)],[f1106,f4562])).
% 29.16/4.14 fof(f14869,plain,(
% 29.16/4.14 ~spl0_994|spl0_169),
% 29.16/4.14 inference(split_clause,[status(thm)],[f14868,f14840,f4560])).
% 29.16/4.14 fof(f15090,plain,(
% 29.16/4.14 spl0_1023 <=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f15092,plain,(
% 29.16/4.14 ~class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal)|spl0_1023),
% 29.16/4.14 inference(component_clause,[status(thm)],[f15090])).
% 29.16/4.14 fof(f15101,plain,(
% 29.16/4.14 $false|spl0_1023),
% 29.16/4.14 inference(forward_subsumption_resolution,[status(thm)],[f15092,f1589])).
% 29.16/4.14 fof(f15102,plain,(
% 29.16/4.14 spl0_1023),
% 29.16/4.14 inference(contradiction_clause,[status(thm)],[f15101])).
% 29.16/4.14 fof(f16207,plain,(
% 29.16/4.14 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Osin(X0)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Osin(X1)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))),
% 29.16/4.14 inference(resolution,[status(thm)],[f11007,f9656])).
% 29.16/4.14 fof(f16208,plain,(
% 29.16/4.14 spl0_840),
% 29.16/4.14 inference(split_clause,[status(thm)],[f16207,f13308])).
% 29.16/4.14 fof(f16676,plain,(
% 29.16/4.14 spl0_1147 <=> c_lessequals(c_Complex_ORe(v_w____),c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f16986,plain,(
% 29.16/4.14 spl0_1178 <=> class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal)),
% 29.16/4.14 introduced(split_symbol_definition)).
% 29.16/4.14 fof(f16988,plain,(
% 29.16/4.14 ~class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal)|spl0_1178),
% 29.16/4.14 inference(component_clause,[status(thm)],[f16986])).
% 29.16/4.14 fof(f16991,plain,(
% 29.16/4.14 $false|spl0_1178),
% 29.16/4.14 inference(forward_subsumption_resolution,[status(thm)],[f16988,f1630])).
% 29.16/4.14 fof(f16992,plain,(
% 29.16/4.14 spl0_1178),
% 29.16/4.14 inference(contradiction_clause,[status(thm)],[f16991])).
% 29.16/4.14 fof(f18523,plain,(
% 29.16/4.15 c_lessequals(c_Complex_ORe(v_w____),c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_lessequals(c_Complex_ORe(v_w____),c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 29.16/4.15 inference(resolution,[status(thm)],[f14565,f14564])).
% 29.16/4.15 fof(f18524,plain,(
% 29.16/4.15 spl0_1147),
% 29.16/4.15 inference(split_clause,[status(thm)],[f18523,f16676])).
% 29.16/4.15 fof(f19114,plain,(
% 29.16/4.15 ![X0,X1]: (c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(X0)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(X1)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))),
% 29.16/4.15 inference(resolution,[status(thm)],[f11144,f9669])).
% 29.16/4.15 fof(f19115,plain,(
% 29.16/4.15 spl0_839),
% 29.16/4.15 inference(split_clause,[status(thm)],[f19114,f13303])).
% 29.16/4.15 fof(f19172,plain,(
% 29.16/4.15 ~c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)),
% 29.16/4.15 inference(resolution,[status(thm)],[f1737,f1718])).
% 29.16/4.15 fof(f19173,plain,(
% 29.16/4.15 ~spl0_26|~spl0_149),
% 29.16/4.15 inference(split_clause,[status(thm)],[f19172,f1853,f4214])).
% 29.16/4.15 fof(f19260,plain,(
% 29.16/4.15 $false),
% 29.16/4.15 inference(sat_refutation,[status(thm)],[f1755,f1850,f1857,f1862,f4314,f4801,f11413,f14867,f14869,f15102,f16208,f16992,f18524,f19115,f19173])).
% 29.16/4.15 % SZS output end CNFRefutation for theBenchmark.p
% 30.08/4.17 % Elapsed time: 3.804275 seconds
% 30.08/4.17 % CPU time: 29.856337 seconds
% 30.08/4.17 % Total memory used: 292.135 MB
% 30.08/4.17 % Net memory used: 287.268 MB
%------------------------------------------------------------------------------