TSTP Solution File: ALG375-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG375-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:11:27 EDT 2024
% Result : Unsatisfiable 10.20s 1.75s
% Output : CNFRefutation 10.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG375-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:48:04 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.41 % Drodi V3.6.0
% 10.20/1.75 % Refutation found
% 10.20/1.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.20/1.75 % SZS output start CNFRefutation for theBenchmark
% 10.20/1.75 fof(f397,axiom,(
% 10.20/1.75 (![V_r,V_s]: (c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f399,axiom,(
% 10.20/1.75 (![V_x,V_y]: (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f915,axiom,(
% 10.20/1.75 (![V_w]: (( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,V_w,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ))),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f916,axiom,(
% 10.20/1.75 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f917,negated_conjecture,(
% 10.20/1.75 ~ v_thesis____ ),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f918,negated_conjecture,(
% 10.20/1.75 (![V_da]: (( v_thesis____| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(V_da),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_da,tc_RealDef_Oreal) ) ))),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f919,negated_conjecture,(
% 10.20/1.75 (![V_da]: (( v_thesis____| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(V_da),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_da,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_da,tc_RealDef_Oreal) ) ))),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f920,negated_conjecture,(
% 10.20/1.75 (![V_da]: (( v_thesis____| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(V_da),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_da,tc_RealDef_Oreal) ) ))),
% 10.20/1.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.20/1.75 fof(f1682,plain,(
% 10.20/1.75 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f397])).
% 10.20/1.75 fof(f1684,plain,(
% 10.20/1.75 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f399])).
% 10.20/1.75 fof(f2465,plain,(
% 10.20/1.75 ![X0]: (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f915])).
% 10.20/1.75 fof(f2466,plain,(
% 10.20/1.75 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f916])).
% 10.20/1.75 fof(f2467,plain,(
% 10.20/1.75 ~v_thesis____),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f917])).
% 10.20/1.75 fof(f2468,plain,(
% 10.20/1.75 ![X0]: (v_thesis____|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f918])).
% 10.20/1.75 fof(f2469,plain,(
% 10.20/1.75 ![X0]: (v_thesis____|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f919])).
% 10.20/1.75 fof(f2470,plain,(
% 10.20/1.75 ![X0]: (v_thesis____|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 10.20/1.75 inference(cnf_transformation,[status(esa)],[f920])).
% 10.20/1.75 fof(f2606,plain,(
% 10.20/1.75 spl0_0 <=> v_thesis____),
% 10.20/1.75 introduced(split_symbol_definition)).
% 10.20/1.75 fof(f2607,plain,(
% 10.20/1.75 v_thesis____|~spl0_0),
% 10.20/1.75 inference(component_clause,[status(thm)],[f2606])).
% 10.20/1.75 fof(f2621,plain,(
% 10.20/1.75 spl0_4 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 10.20/1.75 introduced(split_symbol_definition)).
% 10.20/1.75 fof(f2622,plain,(
% 10.20/1.75 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_4)),
% 10.20/1.75 inference(component_clause,[status(thm)],[f2621])).
% 10.20/1.75 fof(f2624,plain,(
% 10.20/1.75 spl0_0|spl0_4),
% 10.20/1.75 inference(split_clause,[status(thm)],[f2468,f2606,f2621])).
% 10.20/1.75 fof(f2625,plain,(
% 10.20/1.75 spl0_5 <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 10.20/1.75 introduced(split_symbol_definition)).
% 10.20/1.75 fof(f2626,plain,(
% 10.20/1.75 ![X0]: (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_5)),
% 10.20/1.75 inference(component_clause,[status(thm)],[f2625])).
% 10.20/1.75 fof(f2628,plain,(
% 10.20/1.75 spl0_0|spl0_5),
% 10.20/1.75 inference(split_clause,[status(thm)],[f2469,f2606,f2625])).
% 10.20/1.75 fof(f2629,plain,(
% 10.20/1.75 spl0_6 <=> ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 10.20/1.75 introduced(split_symbol_definition)).
% 10.20/1.75 fof(f2630,plain,(
% 10.20/1.75 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_6)),
% 10.20/1.75 inference(component_clause,[status(thm)],[f2629])).
% 10.20/1.75 fof(f2632,plain,(
% 10.20/1.75 spl0_0|spl0_6),
% 10.20/1.75 inference(split_clause,[status(thm)],[f2470,f2606,f2629])).
% 10.20/1.75 fof(f2641,plain,(
% 10.20/1.75 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 10.20/1.75 inference(forward_demodulation,[status(thm)],[f1682,f1684])).
% 10.20/1.75 fof(f2642,plain,(
% 10.20/1.75 ![X0,X1]: (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 10.20/1.75 inference(forward_demodulation,[status(thm)],[f1682,f2641])).
% 10.20/1.75 fof(f2655,plain,(
% 10.20/1.75 ![X0]: (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal))),
% 10.20/1.75 inference(forward_demodulation,[status(thm)],[f2642,f2465])).
% 10.20/1.75 fof(f2656,plain,(
% 10.20/1.75 $false|~spl0_0),
% 10.20/1.75 inference(forward_subsumption_resolution,[status(thm)],[f2607,f2467])).
% 10.20/1.75 fof(f2657,plain,(
% 10.20/1.75 ~spl0_0),
% 10.20/1.75 inference(contradiction_clause,[status(thm)],[f2656])).
% 10.20/1.75 fof(f2666,plain,(
% 10.20/1.75 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_6)),
% 10.20/1.75 inference(forward_demodulation,[status(thm)],[f2642,f2630])).
% 10.20/1.75 fof(f4797,plain,(
% 10.20/1.75 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_6)),
% 10.20/1.75 inference(resolution,[status(thm)],[f2655,f2666])).
% 10.20/1.75 fof(f4798,plain,(
% 10.20/1.75 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_4|~spl0_6)),
% 10.20/1.75 inference(forward_subsumption_resolution,[status(thm)],[f4797,f2622])).
% 10.20/1.75 fof(f4863,plain,(
% 10.20/1.75 spl0_182 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)),
% 10.20/1.75 introduced(split_symbol_definition)).
% 10.20/1.75 fof(f4865,plain,(
% 10.20/1.75 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)|spl0_182),
% 10.20/1.75 inference(component_clause,[status(thm)],[f4863])).
% 10.20/1.75 fof(f4866,plain,(
% 10.20/1.75 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)|~spl0_4|~spl0_6|~spl0_5),
% 10.20/1.75 inference(resolution,[status(thm)],[f4798,f2626])).
% 10.20/1.75 fof(f4867,plain,(
% 10.20/1.75 ~spl0_182|~spl0_4|~spl0_6|~spl0_5),
% 10.20/1.75 inference(split_clause,[status(thm)],[f4866,f4863,f2621,f2629,f2625])).
% 10.20/1.75 fof(f4868,plain,(
% 10.20/1.75 $false|spl0_182),
% 10.20/1.75 inference(forward_subsumption_resolution,[status(thm)],[f4865,f2466])).
% 10.20/1.75 fof(f4869,plain,(
% 10.20/1.75 spl0_182),
% 10.20/1.75 inference(contradiction_clause,[status(thm)],[f4868])).
% 10.20/1.75 fof(f4870,plain,(
% 10.20/1.75 $false),
% 10.20/1.75 inference(sat_refutation,[status(thm)],[f2624,f2628,f2632,f2657,f4867,f4869])).
% 10.20/1.75 % SZS output end CNFRefutation for theBenchmark.p
% 10.81/1.82 % Elapsed time: 1.467254 seconds
% 10.81/1.82 % CPU time: 10.858177 seconds
% 10.81/1.82 % Total memory used: 270.483 MB
% 10.81/1.82 % Net memory used: 263.781 MB
%------------------------------------------------------------------------------