TSTP Solution File: HWV021-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HWV021-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:25:39 EDT 2024

% Result   : Unsatisfiable 3.99s 1.11s
% Output   : CNFRefutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (   8 unt;   2 nHn;  23 RR)
%            Number of literals    :   50 (   9 equ;  25 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

cnf(c_51,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

cnf(c_52,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

cnf(c_56,plain,
    fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).

cnf(c_59,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).

cnf(c_65,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_14) ).

cnf(c_85,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_34) ).

cnf(c_97,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_46) ).

cnf(c_124,plain,
    ( ~ p_LES_EQU_(X0,n0)
    | X0 = n0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_73) ).

cnf(c_322,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0) ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_65,c_97,c_85]) ).

cnf(c_330,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_322]) ).

cnf(c_331,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0) ),
    inference(renaming,[status(thm)],[c_330]) ).

cnf(c_384,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ),
    inference(prop_impl_just,[status(thm)],[c_59]) ).

cnf(c_385,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    inference(renaming,[status(thm)],[c_384]) ).

cnf(c_1455,plain,
    ( fwork_DOTfifo_DOTrtl_DOTlevel_(X0) != n0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    inference(light_normalisation,[status(thm)],[c_385,c_56]) ).

cnf(c_1606,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X0),n0) ),
    inference(light_normalisation,[status(thm)],[c_331,c_56]) ).

cnf(c_2040,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
    | fwork_DOTfifo_DOTrtl_DOTlevel_(X0) != n0 ),
    inference(prop_impl_just,[status(thm)],[c_1455]) ).

cnf(c_2041,plain,
    ( fwork_DOTfifo_DOTrtl_DOTlevel_(X0) != n0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    inference(renaming,[status(thm)],[c_2040]) ).

cnf(c_6007,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
    inference(superposition,[status(thm)],[c_49,c_1606]) ).

cnf(c_6104,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
    inference(superposition,[status(thm)],[c_49,c_1606]) ).

cnf(c_6178,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
    inference(global_subsumption_just,[status(thm)],[c_6104,c_51,c_6007]) ).

cnf(c_6180,plain,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
    inference(superposition,[status(thm)],[c_6178,c_124]) ).

cnf(c_6305,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    inference(superposition,[status(thm)],[c_6180,c_2041]) ).

cnf(c_6306,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_52,c_6305]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : HWV021-2 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 01:09:13 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.99/1.11  % SZS status Started for theBenchmark.p
% 3.99/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.11  
% 3.99/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.99/1.11  
% 3.99/1.11  ------  iProver source info
% 3.99/1.11  
% 3.99/1.11  git: date: 2024-05-02 19:28:25 +0000
% 3.99/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.99/1.11  git: non_committed_changes: false
% 3.99/1.11  
% 3.99/1.11  ------ Parsing...successful
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  ------ Preprocessing... sup_sim: 24  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.99/1.11  
% 3.99/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.99/1.11  
% 3.99/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.99/1.11  ------ Proving...
% 3.99/1.11  ------ Problem Properties 
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  clauses                                 124
% 3.99/1.11  conjectures                             4
% 3.99/1.11  EPR                                     9
% 3.99/1.11  Horn                                    76
% 3.99/1.11  unary                                   31
% 3.99/1.11  binary                                  40
% 3.99/1.11  lits                                    320
% 3.99/1.11  lits eq                                 65
% 3.99/1.11  fd_pure                                 0
% 3.99/1.11  fd_pseudo                               0
% 3.99/1.11  fd_cond                                 1
% 3.99/1.11  fd_pseudo_cond                          6
% 3.99/1.11  AC symbols                              0
% 3.99/1.11  
% 3.99/1.11  ------ Input Options Time Limit: Unbounded
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  ------ 
% 3.99/1.11  Current options:
% 3.99/1.11  ------ 
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  ------ Proving...
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  ------ Proving...
% 3.99/1.11  
% 3.99/1.11  
% 3.99/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.11  
% 3.99/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.11  
% 3.99/1.11  
%------------------------------------------------------------------------------