%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG404-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:54:11 PM UTC 2026
% Result : Unsatisfiable 29.85s 28.06s
% Output : CNFRefutation 29.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 76 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 43 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f719,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__inverse_0) ).
fof(f902,axiom,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__mult__distrib_0) ).
fof(f923,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv0_0) ).
fof(f1079,axiom,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
fof(f1102,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,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(X0,c_HOL_Oinverse__class_Oinverse(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)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f1142,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(v_sko__CHAINED__1(X0),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_2) ).
fof(f1143,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(v_sko__CHAINED__1(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f1144,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(X0),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1145,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1197,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
fof(f1230,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
tcf(c_1691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[],[f719]) ).
tcf(c_1827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
inference(cnf_transformation,[],[f902]) ).
tcf(c_1841,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(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),
inference(cnf_transformation,[],[f923]) ).
tcf(c_1956,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1079]) ).
tcf(c_1975,plain,
! [X0: $i] :
( v_thesis____
| ~ 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),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(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) ),
inference(cnf_transformation,[],[f1102]) ).
tcf(c_2010,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(v_sko__CHAINED__1(X0),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f1142]) ).
tcf(c_2011,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(v_sko__CHAINED__1(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),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f1143]) ).
tcf(c_2012,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(X0),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f1144]) ).
tcf(c_2013,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f1145]) ).
tcf(c_2065,plain,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1197]) ).
tcf(c_2098,plain,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1230]) ).
tcf(c_2761,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(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_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(global_subsumption_just,[status(thm)],[c_1975,c_2013,c_1975]) ).
tcf(c_2762,plain,
! [X0: $i] :
( ~ 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),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(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) ),
inference(renaming,[status(thm)],[c_2761]) ).
tcf(c_2850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(prop_impl_just,[status(thm)],[c_1691]) ).
tcf(c_11496,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(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(demodulation,[status(thm)],[c_1841,c_1956]) ).
tcf(c_13872,plain,
! [X0: $i] :
( ~ 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),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(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(demodulation,[status(thm)],[c_2762,c_1956]) ).
tcf(c_21696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_1827,c_2098]) ).
tcf(c_21697,plain,
! [X0: $i,X1: $i] :
( ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) )
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_21696]) ).
tcf(c_21699,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(global_subsumption_just,[status(thm)],[c_21697,c_2065,c_21697]) ).
tcf(c_21725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_2850,c_2098]) ).
tcf(c_21726,plain,
! [X0: $i,X1: $i] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_21725]) ).
tcf(c_30568,plain,
! [X0: $i,X1: $i] : c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_21699,c_21726]) ).
tcf(c_31030,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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),
inference(demodulation,[status(thm)],[c_11496,c_30568]) ).
tcf(c_32400,plain,
! [X0: $i] :
( ~ 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),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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) ),
inference(demodulation,[status(thm)],[c_13872,c_30568]) ).
tcf(c_70039,plain,
( c_HOL_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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)),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_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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) ),
inference(instantiation,[status(thm)],[c_2011]) ).
tcf(c_70095,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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) ),
inference(instantiation,[status(thm)],[c_2012]) ).
tcf(c_70545,plain,
( c_HOL_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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)),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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) ),
inference(instantiation,[status(thm)],[c_2010]) ).
tcf(c_82254,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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)),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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)),c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(v_m____,tc_RealDef_Oreal),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) ),
inference(instantiation,[status(thm)],[c_32400]) ).
tcf(c_82271,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_82254,c_70545,c_70095,c_70039,c_31030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG404-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/23.68 % CPULimit : 300
% 0.07/23.68 % WCLimit : 300
% 0.07/23.68 % DateTime : Fri Sep 25 05:34:50 UTC 2026
% 0.07/23.69 % CPUTime :
% 0.07/23.69 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.27/23.72 Running first-order theorem proving
% 0.27/23.72 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.27/23.73
% 0.27/23.73 % ======== iProver multi-core TPTP/SMT =========
% 0.27/23.73
% 0.27/23.73 % Detected problem language: tptp
% 0.27/23.74 % Proving...
% 29.85/28.06 % SZS status Started for theBenchmark.p
% 29.85/28.06 % SZS status Unsatisfiable for theBenchmark.p
% 29.85/28.06
% 29.85/28.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.85/28.06
% 29.85/28.06 % ------ iProver source info
% 29.85/28.06
% 29.85/28.06 % git: date: 2026-07-19 20:42:38 +0200
% 29.85/28.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.85/28.06 % git: non_committed_changes: false
% 29.85/28.06
% 29.85/28.06 % ------ Parsing...% successful
% 29.85/28.06
% 29.85/28.06
% 29.85/28.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.85/28.06
% 29.85/28.06 % ------ Preprocessing... sup_sim: 17 sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 159 sf_s rm: 63 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 63 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 63 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 63 0s sf_e pe_s pe_e %
% 29.85/28.06
% 29.85/28.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 29.85/28.06
% 29.85/28.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 29.85/28.06 % ------ Proving...
% 29.85/28.06 % ------ Problem Properties
% 29.85/28.06
% 29.85/28.06 %
% 29.85/28.06 % clauses 788
% 29.85/28.06 % conjectures 0
% 29.85/28.06 % EPR 16
% 29.85/28.06 % Horn 651
% 29.85/28.06 % unary 281
% 29.85/28.06 % binary 217
% 29.85/28.06 % lits 1666
% 29.85/28.06 % lits eq 575
% 29.85/28.06 % fd_pure 0
% 29.85/28.06 % fd_pseudo 0
% 29.85/28.06 % fd_cond 88
% 29.85/28.06 % fd_pseudo_cond 53
% 29.85/28.06 % AC symbols 0
% 29.85/28.06
% 29.85/28.06 % ------ Schedule dynamic 5 is on
% 29.85/28.06
% 29.85/28.06 % ------ no conjectures: strip conj schedule
% 29.85/28.06
% 29.85/28.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 29.85/28.06
% 29.85/28.06
% 29.85/28.06 % ------
% 29.85/28.06 % Current options:
% 29.85/28.06 % ------
% 29.85/28.06
% 29.85/28.06
% 29.85/28.06 %
% 29.85/28.06
% 29.85/28.06 % ------ Proving...
% 29.85/28.06 %
% 29.85/28.06
% 29.85/28.06 % SZS status Unsatisfiable for theBenchmark.p
% 29.85/28.06
% 29.85/28.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.85/28.06
% 29.85/28.06
%------------------------------------------------------------------------------