TSTP Solution File: ALG342-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG342-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:11:23 EDT 2024
% Result : Unsatisfiable 145.57s 18.80s
% Output : CNFRefutation 146.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG342-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:53:14 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.41 % Drodi V3.6.0
% 145.57/18.80 % Refutation found
% 145.57/18.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 145.57/18.80 % SZS output start CNFRefutation for theBenchmark
% 145.57/18.80 fof(f252,axiom,(
% 145.57/18.80 (![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) ) ))),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f253,axiom,(
% 145.57/18.80 (![T_a,V_a]: (( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)| c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f369,axiom,(
% 145.57/18.80 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__Xhyps__1(v_cs____,v_r),tc_RealDef_Oreal) ),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f370,axiom,(
% 145.57/18.80 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__1(v_cs____,v_r),tc_RealDef_Oreal) ),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f386,axiom,(
% 145.57/18.80 (![V_w]: (c_lessequals(V_w,V_w,tc_RealDef_Oreal) ))),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f395,axiom,(
% 145.57/18.80 (![V_x]: (~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ))),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f436,axiom,(
% 145.57/18.80 (![V_z]: (( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ) ))),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f437,axiom,(
% 145.57/18.80 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f438,negated_conjecture,(
% 145.57/18.80 (![V_xa]: (( c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(V_xa),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa,tc_RealDef_Oreal) ) ))),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f439,negated_conjecture,(
% 145.57/18.80 (![V_xa]: (( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_xa,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa,tc_RealDef_Oreal) ) ))),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f452,axiom,(
% 145.57/18.80 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f454,axiom,(
% 145.57/18.80 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 145.57/18.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 145.57/18.80 fof(f998,plain,(
% 145.57/18.80 ![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)))),
% 145.57/18.80 inference(miniscoping,[status(esa)],[f252])).
% 145.57/18.80 fof(f999,plain,(
% 145.57/18.80 ![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))),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f998])).
% 145.57/18.80 fof(f1000,plain,(
% 145.57/18.80 ![T_a]: (~class_Ring__and__Field_Oring__no__zero__divisors(T_a)|(![V_a]: c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a)))),
% 145.57/18.80 inference(miniscoping,[status(esa)],[f253])).
% 145.57/18.80 fof(f1001,plain,(
% 145.57/18.80 ![X0,X1]: (~class_Ring__and__Field_Oring__no__zero__divisors(X0)|c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0)=c_HOL_Ozero__class_Ozero(X0))),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f1000])).
% 145.57/18.80 fof(f1216,plain,(
% 145.57/18.80 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__Xhyps__1(v_cs____,v_r),tc_RealDef_Oreal)),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f369])).
% 145.57/18.80 fof(f1217,plain,(
% 145.57/18.80 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__1(v_cs____,v_r),tc_RealDef_Oreal)),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f370])).
% 145.57/18.80 fof(f1239,plain,(
% 145.57/18.80 ![X0]: (c_lessequals(X0,X0,tc_RealDef_Oreal))),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f386])).
% 145.57/18.80 fof(f1252,plain,(
% 145.57/18.80 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal))),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f395])).
% 145.57/18.80 fof(f1305,plain,(
% 145.57/18.80 ![X0]: (c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal))),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f436])).
% 145.57/18.80 fof(f1306,plain,(
% 145.57/18.80 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f437])).
% 145.57/18.80 fof(f1307,plain,(
% 145.57/18.80 ![X0]: (c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f438])).
% 145.57/18.80 fof(f1308,plain,(
% 145.57/18.80 ![X0]: (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),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))),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f439])).
% 145.57/18.80 fof(f1321,plain,(
% 145.57/18.80 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal)),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f452])).
% 145.57/18.80 fof(f1323,plain,(
% 145.57/18.80 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)),
% 145.57/18.80 inference(cnf_transformation,[status(esa)],[f454])).
% 145.57/18.80 fof(f8752,plain,(
% 145.57/18.80 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 145.57/18.80 inference(resolution,[status(thm)],[f999,f1323])).
% 145.57/18.80 fof(f8757,plain,(
% 145.57/18.80 ![X0]: (c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),
% 145.57/18.80 inference(resolution,[status(thm)],[f1001,f1323])).
% 145.57/18.80 fof(f32075,plain,(
% 145.57/18.80 spl0_852 <=> c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)),
% 145.57/18.80 introduced(split_symbol_definition)).
% 145.57/18.80 fof(f32076,plain,(
% 145.57/18.80 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~spl0_852)),
% 145.57/18.80 inference(component_clause,[status(thm)],[f32075])).
% 145.57/18.80 fof(f32114,plain,(
% 145.57/18.80 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~spl0_852)),
% 145.57/18.80 inference(forward_demodulation,[status(thm)],[f8752,f32076])).
% 145.57/18.80 fof(f34098,plain,(
% 145.57/18.80 spl0_951 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 145.57/18.80 introduced(split_symbol_definition)).
% 145.57/18.80 fof(f34100,plain,(
% 145.57/18.80 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_951),
% 145.57/18.80 inference(component_clause,[status(thm)],[f34098])).
% 145.57/18.80 fof(f34101,plain,(
% 145.57/18.80 spl0_952 <=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)),
% 145.57/18.80 introduced(split_symbol_definition)).
% 145.57/18.80 fof(f34103,plain,(
% 145.57/18.80 ~c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)|spl0_952),
% 145.57/18.80 inference(component_clause,[status(thm)],[f34101])).
% 145.57/18.80 fof(f34104,plain,(
% 145.57/18.80 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)),
% 145.57/18.80 inference(resolution,[status(thm)],[f1308,f1305])).
% 145.57/18.80 fof(f34105,plain,(
% 145.57/18.80 ~spl0_951|~spl0_952),
% 145.57/18.80 inference(split_clause,[status(thm)],[f34104,f34098,f34101])).
% 145.57/18.80 fof(f34113,plain,(
% 145.57/18.80 $false|spl0_951),
% 145.57/18.80 inference(forward_subsumption_resolution,[status(thm)],[f34100,f1306])).
% 145.57/18.80 fof(f34114,plain,(
% 145.57/18.80 spl0_951),
% 145.57/18.80 inference(contradiction_clause,[status(thm)],[f34113])).
% 145.57/18.80 fof(f34145,plain,(
% 145.57/18.80 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)|~spl0_852)),
% 145.57/18.80 inference(forward_demodulation,[status(thm)],[f8757,f32114])).
% 145.57/18.80 fof(f34146,plain,(
% 145.57/18.80 ![X0,X1]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~spl0_852)),
% 145.57/18.80 inference(forward_demodulation,[status(thm)],[f8757,f34145])).
% 145.57/18.80 fof(f34147,plain,(
% 145.57/18.80 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)|~spl0_852)),
% 145.57/18.80 inference(forward_subsumption_resolution,[status(thm)],[f34146,f1252])).
% 145.57/18.80 fof(f34201,plain,(
% 145.57/18.80 $false|~spl0_852),
% 145.57/18.80 inference(backward_subsumption_resolution,[status(thm)],[f1306,f34147])).
% 145.57/18.80 fof(f34202,plain,(
% 145.57/18.80 ~spl0_852),
% 145.57/18.80 inference(contradiction_clause,[status(thm)],[f34201])).
% 145.57/18.80 fof(f34829,plain,(
% 145.57/18.80 spl0_970 <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal)),
% 145.57/18.80 introduced(split_symbol_definition)).
% 145.57/18.80 fof(f34831,plain,(
% 145.57/18.80 ~class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal)|spl0_970),
% 145.57/18.80 inference(component_clause,[status(thm)],[f34829])).
% 145.57/18.80 fof(f34866,plain,(
% 145.57/18.80 $false|spl0_970),
% 145.57/18.80 inference(forward_subsumption_resolution,[status(thm)],[f34831,f1321])).
% 145.57/18.80 fof(f34867,plain,(
% 145.57/18.80 spl0_970),
% 145.57/18.80 inference(contradiction_clause,[status(thm)],[f34866])).
% 145.57/18.80 fof(f35630,plain,(
% 145.57/18.80 spl0_984 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 145.57/18.80 introduced(split_symbol_definition)).
% 145.57/18.80 fof(f35631,plain,(
% 145.57/18.80 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_984)),
% 145.57/18.80 inference(component_clause,[status(thm)],[f35630])).
% 145.57/18.80 fof(f35642,plain,(
% 145.57/18.80 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_984)),
% 145.57/18.80 inference(forward_demodulation,[status(thm)],[f8752,f35631])).
% 145.57/18.80 fof(f35643,plain,(
% 145.57/18.80 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_984)),
% 145.57/18.80 inference(forward_subsumption_resolution,[status(thm)],[f35642,f1239])).
% 145.57/18.80 fof(f35652,plain,(
% 145.57/18.80 spl0_986 <=> ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 145.57/18.80 introduced(split_symbol_definition)).
% 145.57/18.80 fof(f35653,plain,(
% 145.57/18.80 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_986)),
% 145.57/18.80 inference(component_clause,[status(thm)],[f35652])).
% 145.57/18.80 fof(f35674,plain,(
% 145.57/18.80 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_986)),
% 145.57/18.80 inference(forward_demodulation,[status(thm)],[f8757,f35653])).
% 145.57/18.80 fof(f35675,plain,(
% 145.57/18.80 ![X0]: (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_986)),
% 145.57/18.80 inference(forward_subsumption_resolution,[status(thm)],[f35674,f1239])).
% 145.57/18.80 fof(f38008,plain,(
% 145.57/18.80 $false|~spl0_984),
% 145.57/18.80 inference(backward_subsumption_resolution,[status(thm)],[f1217,f35643])).
% 145.57/18.80 fof(f38009,plain,(
% 145.57/18.80 ~spl0_984),
% 145.57/18.80 inference(contradiction_clause,[status(thm)],[f38008])).
% 145.57/18.80 fof(f38851,plain,(
% 145.57/18.80 spl0_1045 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 146.20/18.85 introduced(split_symbol_definition)).
% 146.20/18.85 fof(f38852,plain,(
% 146.20/18.85 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1045),
% 146.20/18.85 inference(component_clause,[status(thm)],[f38851])).
% 146.20/18.85 fof(f38866,plain,(
% 146.20/18.85 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1045),
% 146.20/18.85 inference(forward_demodulation,[status(thm)],[f8752,f38852])).
% 146.20/18.85 fof(f38867,plain,(
% 146.20/18.85 $false|~spl0_1045),
% 146.20/18.85 inference(forward_subsumption_resolution,[status(thm)],[f38866,f1252])).
% 146.20/18.85 fof(f38868,plain,(
% 146.20/18.85 ~spl0_1045),
% 146.20/18.85 inference(contradiction_clause,[status(thm)],[f38867])).
% 146.20/18.85 fof(f39591,plain,(
% 146.20/18.85 $false|~spl0_986),
% 146.20/18.85 inference(backward_subsumption_resolution,[status(thm)],[f1216,f35675])).
% 146.20/18.85 fof(f39592,plain,(
% 146.20/18.85 ~spl0_986),
% 146.20/18.85 inference(contradiction_clause,[status(thm)],[f39591])).
% 146.20/18.85 fof(f39737,plain,(
% 146.20/18.85 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_952),
% 146.20/18.85 inference(resolution,[status(thm)],[f34103,f1307])).
% 146.20/18.85 fof(f39738,plain,(
% 146.20/18.85 ~spl0_951|spl0_952),
% 146.20/18.85 inference(split_clause,[status(thm)],[f39737,f34098,f34101])).
% 146.20/18.85 fof(f39744,plain,(
% 146.20/18.85 $false),
% 146.20/18.85 inference(sat_refutation,[status(thm)],[f34105,f34114,f34202,f34867,f38009,f38868,f39592,f39738])).
% 146.20/18.85 % SZS output end CNFRefutation for theBenchmark.p
% 146.40/18.89 % Elapsed time: 18.518529 seconds
% 146.40/18.89 % CPU time: 146.286266 seconds
% 146.40/18.89 % Total memory used: 440.057 MB
% 146.40/18.89 % Net memory used: 427.332 MB
%------------------------------------------------------------------------------