%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG384-1 : 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 : n020.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 1.33s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 18 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f582,axiom,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_1) ).
fof(f583,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(reorient_equations,[],[f582]) ).
fof(f598,axiom,
v_c____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f599,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f665,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_1105,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ( c_HOL_Ozero__class_Ozero(X0) = X1 )
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_1116,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != v_c____,
inference(cnf_transformation,[],[f598]) ).
tcf(c_1117,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(cnf_transformation,[],[f599]) ).
tcf(c_1183,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f665]) ).
tcf(c_1331,plain,
( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_c____ )
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[status(thm)],[c_1105,c_1117]) ).
tcf(c_1332,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1331,c_1116,c_1183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG384-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 05:32:19 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 4.53/1.33 % SZS status Started for theBenchmark.p
% 4.53/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 4.53/1.33
% 4.53/1.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.53/1.33
% 4.53/1.33 % ------ iProver source info
% 4.53/1.33
% 4.53/1.33 % git: date: 2026-07-19 20:42:38 +0200
% 4.53/1.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.53/1.33 % git: non_committed_changes: false
% 4.53/1.33
% 4.53/1.33 % ------ Parsing...% successful
% 4.53/1.33
% 4.53/1.33
% 4.53/1.33 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.53/1.33 % ------ Proving...
% 4.53/1.33 % ------ Problem Properties
% 4.53/1.33
% 4.53/1.33 %
% 4.53/1.33 % clauses 572
% 4.53/1.33 % conjectures 1
% 4.53/1.33 % EPR 129
% 4.53/1.33 % Horn 461
% 4.53/1.33 % unary 110
% 4.53/1.33 % binary 142
% 4.53/1.33 % lits 1710
% 4.53/1.33 % lits eq 238
% 4.53/1.33 % fd_pure 0
% 4.53/1.33 % fd_pseudo 0
% 4.53/1.33 % fd_cond 5
% 4.53/1.33 % fd_pseudo_cond 57
% 4.53/1.33 % AC symbols 0
% 4.53/1.33
% 4.53/1.33 % ------ Input Options Time Limit: Unbounded
% 4.53/1.33
% 4.53/1.33
% 4.53/1.33 % ------
% 4.53/1.33 % Current options:
% 4.53/1.33 % ------
% 4.53/1.33
% 4.53/1.33
% 4.53/1.33 %
% 4.53/1.33
% 4.53/1.33 % ------ Proving...
% 4.53/1.33 %
% 4.53/1.33
% 4.53/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 4.53/1.33
% 4.53/1.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.53/1.33
% 4.53/1.33
%------------------------------------------------------------------------------