%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG386-1 : 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 : n009.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 12:54:09 PM UTC 2026
% Result : Unsatisfiable 4.53s 1.32s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 27 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f273,axiom,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cs0_0) ).
fof(f539,axiom,
! [X2,X3,X0,X1] :
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X1,X0,X2),c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(X0,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__infinity_0) ).
fof(f540,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X1,X0,X2),c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(X0,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(reorient_equations,[],[f539]) ).
fof(f565,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f566,negated_conjecture,
! [X0] :
( c_lessequals(X0,c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f567,negated_conjecture,
! [X0] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),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)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_838,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_cs____,
inference(cnf_transformation,[],[f273]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 )
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X0,X1,X2),c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_1060,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f565]) ).
tcf(c_1061,negated_conjecture,
! [X0: $i] :
( v_thesis____
| c_lessequals(X0,c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f566]) ).
tcf(c_1062,negated_conjecture,
! [X0: $i] :
( v_thesis____
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),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) ),
inference(cnf_transformation,[],[f567]) ).
tcf(c_1344,negated_conjecture,
! [X0: $i] : c_lessequals(X0,c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(global_subsumption_just,[status(thm)],[c_1061,c_1060,c_1061]) ).
tcf(c_1448,negated_conjecture,
! [X0: $i] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),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),
inference(global_subsumption_just,[status(thm)],[c_1062,c_1060,c_1062]) ).
tcf(c_1469,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_cs____ )
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(v_c____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_cs____),c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_1036,c_1448]) ).
tcf(c_2208,plain,
! [X0: $i] : ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(v_c____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_cs____),c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(global_subsumption_just,[status(thm)],[c_1469,c_838,c_1469]) ).
tcf(c_2213,plain,
$false,
inference(superposition,[status(thm)],[c_1344,c_2208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG386-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 05:31:43 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.44
% 0.13/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.46 % Proving...
% 4.53/1.32 % SZS status Started for theBenchmark.p
% 4.53/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.53/1.32
% 4.53/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.53/1.32
% 4.53/1.32 % ------ iProver source info
% 4.53/1.32
% 4.53/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.53/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.53/1.32 % git: non_committed_changes: false
% 4.53/1.32
% 4.53/1.32 % ------ Parsing...% successful
% 4.53/1.32
% 4.53/1.32
% 4.53/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.53/1.32 % ------ Proving...
% 4.53/1.32 % ------ Problem Properties
% 4.53/1.32
% 4.53/1.32 %
% 4.53/1.32 % clauses 590
% 4.53/1.32 % conjectures 3
% 4.53/1.32 % EPR 137
% 4.53/1.32 % Horn 530
% 4.53/1.32 % unary 135
% 4.53/1.32 % binary 223
% 4.53/1.32 % lits 1421
% 4.53/1.32 % lits eq 375
% 4.53/1.32 % fd_pure 0
% 4.53/1.32 % fd_pseudo 0
% 4.53/1.32 % fd_cond 3
% 4.53/1.32 % fd_pseudo_cond 78
% 4.53/1.32 % AC symbols 0
% 4.53/1.32
% 4.53/1.32 % ------ Input Options Time Limit: Unbounded
% 4.53/1.32
% 4.53/1.32
% 4.53/1.32 % ------
% 4.53/1.32 % Current options:
% 4.53/1.32 % ------
% 4.53/1.32
% 4.53/1.32
% 4.53/1.32 %
% 4.53/1.32
% 4.53/1.32 % ------ Proving...
% 4.53/1.32 %
% 4.53/1.32
% 4.53/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.53/1.32
% 4.53/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.53/1.32
% 4.53/1.32
%------------------------------------------------------------------------------