TSTP Solution File: ALG407-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG407-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:11:32 EDT 2024
% Result : Unsatisfiable 3.56s 0.88s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 38
% Syntax : Number of formulae : 132 ( 50 unt; 0 def)
% Number of atoms : 229 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 166 ( 69 ~; 79 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 19 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f406,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f409,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f462,axiom,
! [V_w] : c_lessequals(V_w,V_w,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f471,axiom,
! [V_w,V_z] :
( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
| c_lessequals(V_z,V_w,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f820,axiom,
! [V_z,V_x,V_y] :
( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f821,axiom,
! [V_x,V_y,V_z] :
( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f926,axiom,
! [V_x] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f994,axiom,
! [V_z] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1001,axiom,
! [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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1050,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1051,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1052,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1156,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1168,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1185,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1187,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1195,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1212,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1227,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1452,plain,
! [X0,X1] :
( X0 = X1
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f1852,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f406]) ).
fof(f1855,plain,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| X0 = X1
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f409]) ).
fof(f1938,plain,
! [X0] : c_lessequals(X0,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f462]) ).
fof(f1950,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f471]) ).
fof(f2488,plain,
! [V_z] :
( ! [V_x,V_y] :
( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(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) ),
inference(miniscoping,[status(esa)],[f820]) ).
fof(f2489,plain,
! [X0,X1,X2] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f2488]) ).
fof(f2490,plain,
! [V_z] :
( ! [V_x,V_y] :
( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ),
inference(miniscoping,[status(esa)],[f821]) ).
fof(f2491,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f2490]) ).
fof(f2668,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f926]) ).
fof(f2777,plain,
! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0,
inference(cnf_transformation,[status(esa)],[f994]) ).
fof(f2789,plain,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1001]) ).
fof(f2881,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1050]) ).
fof(f2882,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1051]) ).
fof(f2883,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1052]) ).
fof(f2987,plain,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1156]) ).
fof(f2999,plain,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1168]) ).
fof(f3016,plain,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1185]) ).
fof(f3018,plain,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1187]) ).
fof(f3026,plain,
class_Int_Onumber(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1195]) ).
fof(f3043,plain,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(esa)],[f1212]) ).
fof(f3058,plain,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(esa)],[f1227]) ).
fof(f3099,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f1852,f2882]) ).
fof(f3111,plain,
( spl0_6
<=> c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3112,plain,
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f3111]) ).
fof(f3113,plain,
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_6 ),
inference(component_clause,[status(thm)],[f3111]) ).
fof(f3179,plain,
! [X0] : X0 = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2777,f2789]) ).
fof(f3182,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2789,f2883]) ).
fof(f3183,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[status(thm)],[f2789,f3182]) ).
fof(f3184,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[status(thm)],[f2777,f3183]) ).
fof(f3186,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2789,f3099]) ).
fof(f3190,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2789,f2882]) ).
fof(f3203,plain,
( spl0_14
<=> c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3204,plain,
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f3203]) ).
fof(f3206,plain,
( spl0_15
<=> c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3211,plain,
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2789,f3112]) ).
fof(f3212,plain,
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f3186,f1452]) ).
fof(f3213,plain,
( spl0_14
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f3212,f3203,f3206]) ).
fof(f3240,plain,
( spl0_18
<=> c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3241,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f3240]) ).
fof(f3243,plain,
( spl0_19
<=> c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3245,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_19 ),
inference(component_clause,[status(thm)],[f3243]) ).
fof(f3246,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f1855,f3184]) ).
fof(f3247,plain,
( spl0_18
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f3246,f3240,f3243]) ).
fof(f3251,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f3211,f3190]) ).
fof(f3252,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f3251,f2668]) ).
fof(f3253,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f3252]) ).
fof(f3254,plain,
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2789,f3113]) ).
fof(f3902,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[status(thm)],[f2789,f3099]) ).
fof(f4011,plain,
( spl0_38
<=> c_lessequals(v_t____,v_t____,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f4013,plain,
( ~ c_lessequals(v_t____,v_t____,tc_RealDef_Oreal)
| spl0_38 ),
inference(component_clause,[status(thm)],[f4011]) ).
fof(f4163,plain,
! [X0,X1] :
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2489,f2881]) ).
fof(f4353,plain,
! [X0] :
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3179,f4163]) ).
fof(f4359,plain,
( spl0_54
<=> c_lessequals(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f4374,plain,
( spl0_56
<=> c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f4376,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_56 ),
inference(component_clause,[status(thm)],[f4374]) ).
fof(f4377,plain,
( c_lessequals(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_18 ),
inference(paramodulation,[status(thm)],[f3241,f4353]) ).
fof(f4378,plain,
( spl0_54
| ~ spl0_56
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f4377,f4359,f4374,f3240]) ).
fof(f4383,plain,
( $false
| spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f4376,f3902]) ).
fof(f4384,plain,
spl0_56,
inference(contradiction_clause,[status(thm)],[f4383]) ).
fof(f4494,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f2491,f2881]) ).
fof(f4504,plain,
( spl0_57
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f4506,plain,
( ~ class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| spl0_57 ),
inference(component_clause,[status(thm)],[f4504]) ).
fof(f4514,plain,
( spl0_59
<=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f4516,plain,
( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| spl0_59 ),
inference(component_clause,[status(thm)],[f4514]) ).
fof(f4517,plain,
( spl0_60
<=> class_Int_Onumber(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f4519,plain,
( ~ class_Int_Onumber(tc_RealDef_Oreal)
| spl0_60 ),
inference(component_clause,[status(thm)],[f4517]) ).
fof(f4573,plain,
( $false
| spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f4516,f2987]) ).
fof(f4574,plain,
spl0_59,
inference(contradiction_clause,[status(thm)],[f4573]) ).
fof(f4804,plain,
! [X0] :
( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f3179,f4494]) ).
fof(f4904,plain,
( $false
| spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f3016,f4506]) ).
fof(f4905,plain,
spl0_57,
inference(contradiction_clause,[status(thm)],[f4904]) ).
fof(f5002,plain,
( spl0_95
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f5003,plain,
( 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_95 ),
inference(component_clause,[status(thm)],[f5002]) ).
fof(f5008,plain,
( spl0_97
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f5010,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_97 ),
inference(component_clause,[status(thm)],[f5008]) ).
fof(f5040,plain,
( $false
| spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f4013,f1938]) ).
fof(f5041,plain,
spl0_38,
inference(contradiction_clause,[status(thm)],[f5040]) ).
fof(f5042,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f5003,f2668]) ).
fof(f5043,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f5042]) ).
fof(f5047,plain,
( $false
| spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f5010,f1938]) ).
fof(f5048,plain,
spl0_97,
inference(contradiction_clause,[status(thm)],[f5047]) ).
fof(f5166,plain,
! [X0] :
( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[f4804,f1950]) ).
fof(f5168,plain,
( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_18 ),
inference(paramodulation,[status(thm)],[f3241,f4804]) ).
fof(f5169,plain,
( spl0_15
| ~ spl0_54
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f5168,f3206,f4359,f3240]) ).
fof(f5174,plain,
( $false
| spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f3204,f3254]) ).
fof(f5175,plain,
( spl0_6
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f5174]) ).
fof(f5306,plain,
( spl0_108
<=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f5308,plain,
( ~ class_Ring__and__Field_Oidom(tc_RealDef_Oreal)
| spl0_108 ),
inference(component_clause,[status(thm)],[f5306]) ).
fof(f5319,plain,
( $false
| spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f5308,f3018]) ).
fof(f5320,plain,
spl0_108,
inference(contradiction_clause,[status(thm)],[f5319]) ).
fof(f5321,plain,
( spl0_111
<=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f5323,plain,
( ~ class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)
| spl0_111 ),
inference(component_clause,[status(thm)],[f5321]) ).
fof(f5329,plain,
( $false
| spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f5323,f2999]) ).
fof(f5330,plain,
spl0_111,
inference(contradiction_clause,[status(thm)],[f5329]) ).
fof(f5331,plain,
( $false
| spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f3026,f4519]) ).
fof(f5332,plain,
spl0_60,
inference(contradiction_clause,[status(thm)],[f5331]) ).
fof(f6349,plain,
( spl0_166
<=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
introduced(split_symbol_definition) ).
fof(f6351,plain,
( ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| spl0_166 ),
inference(component_clause,[status(thm)],[f6349]) ).
fof(f6362,plain,
( $false
| spl0_166 ),
inference(forward_subsumption_resolution,[status(thm)],[f6351,f3058]) ).
fof(f6363,plain,
spl0_166,
inference(contradiction_clause,[status(thm)],[f6362]) ).
fof(f6364,plain,
( spl0_169
<=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
introduced(split_symbol_definition) ).
fof(f6366,plain,
( ~ class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)
| spl0_169 ),
inference(component_clause,[status(thm)],[f6364]) ).
fof(f6372,plain,
( $false
| spl0_169 ),
inference(forward_subsumption_resolution,[status(thm)],[f6366,f3043]) ).
fof(f6373,plain,
spl0_169,
inference(contradiction_clause,[status(thm)],[f6372]) ).
fof(f6571,plain,
( spl0_181
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
introduced(split_symbol_definition) ).
fof(f6573,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| spl0_181 ),
inference(component_clause,[status(thm)],[f6571]) ).
fof(f6576,plain,
( $false
| spl0_181 ),
inference(trivial_equality_resolution,[status(esa)],[f6573]) ).
fof(f6577,plain,
spl0_181,
inference(contradiction_clause,[status(thm)],[f6576]) ).
fof(f7456,plain,
( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_19 ),
inference(resolution,[status(thm)],[f5166,f3245]) ).
fof(f7457,plain,
( spl0_15
| spl0_19 ),
inference(split_clause,[status(thm)],[f7456,f3206,f3243]) ).
fof(f7466,plain,
$false,
inference(sat_refutation,[status(thm)],[f3213,f3247,f3253,f4378,f4384,f4574,f4905,f5041,f5043,f5048,f5169,f5175,f5320,f5330,f5332,f6363,f6373,f6577,f7457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG407-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.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 23:49:56 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.42 % Drodi V3.6.0
% 3.56/0.88 % Refutation found
% 3.56/0.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.56/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.63/0.90 % Elapsed time: 0.549792 seconds
% 3.63/0.90 % CPU time: 3.722153 seconds
% 3.63/0.90 % Total memory used: 156.895 MB
% 3.63/0.90 % Net memory used: 155.744 MB
%------------------------------------------------------------------------------