%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG340-1 : 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 : n002.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 12:54:04 PM UTC 2026
% Result : Unsatisfiable 7.67s 3.51s
% Output : CNFRefutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 39 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f229,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__all__real2_0) ).
fof(f234,axiom,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X0),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__gt__zero__preal__Ex_1) ).
fof(f458,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
fof(f467,axiom,
! [X0,X1] :
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__0_0) ).
fof(f468,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(reorient_equations,[],[f467]) ).
fof(f497,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_0) ).
fof(f515,negated_conjecture,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f579,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f582,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
tcf(c_810,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_814,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X0),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f234]) ).
tcf(c_981,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_989,plain,
! [X0: $i,X1: $i] :
( ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) )
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f468]) ).
tcf(c_1011,plain,
! [X0: $i] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_1027,negated_conjecture,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_1091,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f579]) ).
tcf(c_1094,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f582]) ).
tcf(c_6442,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1011,c_1094]) ).
tcf(c_6443,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_6442]) ).
tcf(c_39945,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(X0,c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_810,c_981]) ).
tcf(c_40204,plain,
! [X0: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X0)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X0),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_39945,c_1027]) ).
tcf(c_40212,plain,
! [X0: $i] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X0)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(global_subsumption_just,[status(thm)],[c_40204,c_814,c_40204]) ).
tcf(c_41493,plain,
! [X0: $i] : c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_1091,c_989]) ).
tcf(c_42001,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_41493,c_40212]) ).
tcf(c_42002,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42001,c_6443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG340-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.59 % Computer : n002.cluster.edu
% 0.09/0.59 % Model : x86_64 x86_64
% 0.09/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.59 % Memory : 8046.5625MB
% 0.09/0.59 % OS : Linux 6.8.0-71-generic
% 0.09/0.59 % CPULimit : 300
% 0.09/0.59 % WCLimit : 300
% 0.09/0.59 % DateTime : Fri Sep 25 05:28:39 UTC 2026
% 0.09/0.59 % CPUTime :
% 0.09/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.62 Running first-order theorem proving
% 0.09/0.62 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
% 0.13/0.64
% 0.13/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.64
% 0.13/0.64 % Detected problem language: tptp
% 0.13/0.65 % Proving...
% 7.67/3.51 % SZS status Started for theBenchmark.p
% 7.67/3.51 % SZS status Unsatisfiable for theBenchmark.p
% 7.67/3.51
% 7.67/3.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.67/3.51
% 7.67/3.51 % ------ iProver source info
% 7.67/3.51
% 7.67/3.51 % git: date: 2026-07-19 20:42:38 +0200
% 7.67/3.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.67/3.51 % git: non_committed_changes: false
% 7.67/3.51
% 7.67/3.51 % ------ Parsing...% successful
% 7.67/3.51
% 7.67/3.51
% 7.67/3.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.67/3.51
% 7.67/3.51 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 16 sf_s rm: 13 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 7.67/3.51
% 7.67/3.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.67/3.51
% 7.67/3.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.67/3.51 % ------ Proving...
% 7.67/3.51 % ------ Problem Properties
% 7.67/3.51
% 7.67/3.51 %
% 7.67/3.51 % clauses 481
% 7.67/3.51 % conjectures 2
% 7.67/3.51 % EPR 93
% 7.67/3.51 % Horn 397
% 7.67/3.51 % unary 98
% 7.67/3.51 % binary 131
% 7.67/3.51 % lits 1279
% 7.67/3.51 % lits eq 201
% 7.67/3.51 % fd_pure 0
% 7.67/3.51 % fd_pseudo 0
% 7.67/3.51 % fd_cond 28
% 7.67/3.51 % fd_pseudo_cond 32
% 7.67/3.51 % AC symbols 0
% 7.67/3.51
% 7.67/3.51 % ------ Input Options Time Limit: Unbounded
% 7.67/3.51
% 7.67/3.51
% 7.67/3.51 % ------
% 7.67/3.51 % Current options:
% 7.67/3.51 % ------
% 7.67/3.51
% 7.67/3.51
% 7.67/3.51 %
% 7.67/3.51
% 7.67/3.51 % ------ Proving...
% 7.67/3.51 %
% 7.67/3.51
% 7.67/3.51 % SZS status Unsatisfiable for theBenchmark.p
% 7.67/3.51
% 7.67/3.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.67/3.51
% 7.67/3.51
%------------------------------------------------------------------------------