TSTP Solution File: ALG384-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG384-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:04:39 EDT 2024

% Result   : Unsatisfiable 7.80s 1.71s
% Output   : CNFRefutation 7.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   4 nHn;   5 RR)
%            Number of literals    :   15 (   7 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            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)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_533,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X0)
    | 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_1) ).

cnf(c_544,plain,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != v_c____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_545,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) ).

cnf(c_611,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

cnf(c_10262,plain,
    ( X0 != tc_Complex_Ocomplex
    | 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) ),
    inference(resolution_lifted,[status(thm)],[c_533,c_611]) ).

cnf(c_10263,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
    | c_HOL_Oord__class_Oless(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_10262]) ).

cnf(c_13256,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    inference(prop_impl_just,[status(thm)],[c_10263]) ).

cnf(c_23643,plain,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_c____,
    inference(superposition,[status(thm)],[c_13256,c_545]) ).

cnf(c_23644,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_544,c_23643]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG384-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 22:51:28 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.80/1.71  % SZS status Started for theBenchmark.p
% 7.80/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.80/1.71  
% 7.80/1.71  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.80/1.71  
% 7.80/1.71  ------  iProver source info
% 7.80/1.71  
% 7.80/1.71  git: date: 2024-05-02 19:28:25 +0000
% 7.80/1.71  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.80/1.71  git: non_committed_changes: false
% 7.80/1.71  
% 7.80/1.71  ------ Parsing...successful
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  ------ Preprocessing... sup_sim: 11  sf_s  rm: 6 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: 92  sf_s  rm: 42 0s  sf_e  pe_s  pe_e 
% 7.80/1.71  
% 7.80/1.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.80/1.71  
% 7.80/1.71  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.80/1.71  ------ Proving...
% 7.80/1.71  ------ Problem Properties 
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  clauses                                 432
% 7.80/1.71  conjectures                             1
% 7.80/1.71  EPR                                     22
% 7.80/1.71  Horn                                    344
% 7.80/1.71  unary                                   158
% 7.80/1.71  binary                                  86
% 7.80/1.71  lits                                    953
% 7.80/1.71  lits eq                                 221
% 7.80/1.71  fd_pure                                 0
% 7.80/1.71  fd_pseudo                               0
% 7.80/1.71  fd_cond                                 29
% 7.80/1.71  fd_pseudo_cond                          27
% 7.80/1.71  AC symbols                              0
% 7.80/1.71  
% 7.80/1.71  ------ Input Options Time Limit: Unbounded
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  ------ 
% 7.80/1.71  Current options:
% 7.80/1.71  ------ 
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  ------ Proving...
% 7.80/1.71  
% 7.80/1.71  
% 7.80/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.80/1.71  
% 7.80/1.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.80/1.71  
% 7.80/1.71  
%------------------------------------------------------------------------------