%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG341-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 7.32s 1.89s
% Output : CNFRefutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f589,axiom,
! [X0,X1] :
( c_lessequals(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/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
fof(f615,axiom,
! [X0,X1] :
( c_lessequals(X1,X0,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
fof(f620,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
fof(f626,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f628,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f629,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f724,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
tcf(c_644,negated_conjecture,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f629]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f626]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f620]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X0,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f615]) ).
tcf(c_649,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f628]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i] :
( c_lessequals(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(cnf_transformation,[],[f589]) ).
tcf(c_664,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f724]) ).
tcf(c_992,plain,
! [X0: $i,X1: $i] :
( c_lessequals(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(prop_impl_just,[status(thm)],[c_652]) ).
tcf(c_3404,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_992,c_664]) ).
tcf(c_3405,plain,
! [X0: $i] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_3404]) ).
tcf(c_7202,plain,
c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_648,c_644]) ).
tcf(c_7263,plain,
! [X0: $i] :
( c_lessequals(v_r,X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_7202,c_646]) ).
tcf(c_7307,plain,
! [X0: $i] : c_lessequals(v_r,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_3405,c_7263]) ).
tcf(c_7324,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex) = v_r )
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_7307,c_645]) ).
tcf(c_7528,plain,
c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex) = v_r,
inference(superposition,[status(thm)],[c_649,c_7324]) ).
tcf(c_7679,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_7528,c_3405]) ).
tcf(c_7680,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7679,c_644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG341-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Fri Sep 25 05:25:26 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.49 Running first-order theorem proving
% 0.18/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.18/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.52 % Proving...
% 7.32/1.89 % SZS status Started for theBenchmark.p
% 7.32/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 7.32/1.89
% 7.32/1.89 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.32/1.89
% 7.32/1.89 % ------ iProver source info
% 7.32/1.89
% 7.32/1.89 % git: date: 2026-07-19 20:42:38 +0200
% 7.32/1.89 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.32/1.89 % git: non_committed_changes: false
% 7.32/1.89
% 7.32/1.89 % ------ Parsing...% successful
% 7.32/1.89
% 7.32/1.89
% 7.32/1.89 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.32/1.89
% 7.32/1.89 % ------ 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 %
% 7.32/1.89
% 7.32/1.89 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.32/1.89
% 7.32/1.89 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.32/1.89 % ------ Proving...
% 7.32/1.89 % ------ Problem Properties
% 7.32/1.89
% 7.32/1.89 %
% 7.32/1.89 % clauses 218
% 7.32/1.89 % conjectures 1
% 7.32/1.89 % EPR 4
% 7.32/1.89 % Horn 189
% 7.32/1.89 % unary 157
% 7.32/1.89 % binary 33
% 7.32/1.89 % lits 313
% 7.32/1.89 % lits eq 237
% 7.32/1.89 % fd_pure 0
% 7.32/1.89 % fd_pseudo 0
% 7.32/1.89 % fd_cond 26
% 7.32/1.89 % fd_pseudo_cond 9
% 7.32/1.89 % AC symbols 0
% 7.32/1.89
% 7.32/1.89 % ------ Schedule dynamic 5 is on
% 7.32/1.89
% 7.32/1.89 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.32/1.89
% 7.32/1.89
% 7.32/1.89 % ------
% 7.32/1.89 % Current options:
% 7.32/1.89 % ------
% 7.32/1.89
% 7.32/1.89
% 7.32/1.89 %
% 7.32/1.89
% 7.32/1.89 % ------ Proving...
% 7.32/1.89 %
% 7.32/1.89
% 7.32/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 7.32/1.89
% 7.32/1.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.32/1.89
% 7.32/1.89
%------------------------------------------------------------------------------