TSTP Solution File: HWV017-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HWV017-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:25:37 EDT 2024

% Result   : Unsatisfiable 27.86s 4.70s
% Output   : CNFRefutation 27.86s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

cnf(c_50,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

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

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

cnf(c_53,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

cnf(c_54,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_6) ).

cnf(c_58,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_60,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_7) ).

cnf(c_96,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_43) ).

cnf(c_100,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_47) ).

cnf(c_104,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_51) ).

cnf(c_112,plain,
    f_ADD_(X0,n1) != n0,
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_59) ).

cnf(c_113,plain,
    ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_60) ).

cnf(c_114,plain,
    ( ~ p_LES_EQU_(X0,f_SUB_(X0,n1))
    | p_LES_EQU_(X0,n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_61) ).

cnf(c_124,plain,
    ( ~ p_LES_EQU_(X0,X1)
    | p_LES_EQU_(X0,X2)
    | p_LES_EQU_(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_71) ).

cnf(c_125,plain,
    ( ~ p_LES_EQU_(X0,f_ADD_(X1,n1))
    | f_ADD_(X1,n1) = X0
    | p_LES_EQU_(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_72) ).

cnf(c_126,plain,
    ( ~ p_LES_EQU_(X0,n0)
    | X0 = n0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_73) ).

cnf(c_128,plain,
    p_LES_EQU_(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).

cnf(c_337,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_104,c_100]) ).

cnf(c_1340,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(demodulation,[status(thm)],[c_49,c_58]) ).

cnf(c_3563,plain,
    f_ADD_(t_206,n1) = sP0_iProver_def,
    definition ).

cnf(c_3564,plain,
    fwork_DOTfifo_DOTrtl_DOTfull_(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_3565,plain,
    fwork_DOTfifo_DOTrtl_DOTrd_(t_206) = sP2_iProver_def,
    definition ).

cnf(c_3566,plain,
    fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sP3_iProver_def,
    definition ).

cnf(c_3567,plain,
    fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sP4_iProver_def,
    definition ).

cnf(c_3568,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_3569,negated_conjecture,
    p__pred_(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_53,c_3563,c_3564]) ).

cnf(c_3570,negated_conjecture,
    p__pred_(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_52,c_3565]) ).

cnf(c_3571,negated_conjecture,
    ~ p__pred_(sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_3566]) ).

cnf(c_3572,negated_conjecture,
    ~ p__pred_(sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_3567]) ).

cnf(c_6429,plain,
    ( p_LES_EQU_(X0,X1)
    | p_LES_EQU_(X1,X0) ),
    inference(superposition,[status(thm)],[c_128,c_124]) ).

cnf(c_6451,plain,
    p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(superposition,[status(thm)],[c_6429,c_3568]) ).

cnf(c_6452,plain,
    p_LES_EQU_(n0,f_ADD_(X0,n1)),
    inference(superposition,[status(thm)],[c_6429,c_113]) ).

cnf(c_13642,plain,
    ( f_ADD_(X0,n1) = n0
    | p_LES_EQU_(n0,X0) ),
    inference(superposition,[status(thm)],[c_6452,c_125]) ).

cnf(c_13677,plain,
    p_LES_EQU_(n0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_13642,c_112]) ).

cnf(c_66785,plain,
    ( ~ p__pred_(sP1_iProver_def)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(sP0_iProver_def) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    inference(superposition,[status(thm)],[c_3564,c_60]) ).

cnf(c_66786,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(sP0_iProver_def) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    inference(forward_subsumption_resolution,[status(thm)],[c_66785,c_3569]) ).

cnf(c_66962,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),X0)
    | p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
    inference(superposition,[status(thm)],[c_1340,c_124]) ).

cnf(c_66972,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0
    | p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
    inference(superposition,[status(thm)],[c_66962,c_126]) ).

cnf(c_66997,plain,
    p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(global_subsumption_just,[status(thm)],[c_66972,c_6451]) ).

cnf(c_66999,plain,
    ( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
    | p_LES_EQU_(n0,X0) ),
    inference(superposition,[status(thm)],[c_66997,c_124]) ).

cnf(c_67034,plain,
    p_LES_EQU_(n0,X0),
    inference(global_subsumption_just,[status(thm)],[c_66999,c_13677]) ).

cnf(c_88495,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
    | f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(superposition,[status(thm)],[c_96,c_126]) ).

cnf(c_88947,plain,
    ( ~ p__pred_(sP2_iProver_def)
    | f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(superposition,[status(thm)],[c_3565,c_88495]) ).

cnf(c_88948,plain,
    ( ~ p__pred_(sP2_iProver_def)
    | f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0
    | p__pred_(sP3_iProver_def)
    | p__pred_(sP4_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_88947,c_3563,c_3566,c_3567,c_66786]) ).

cnf(c_88949,plain,
    ( f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_88948,c_3572,c_3571,c_3570]) ).

cnf(c_89129,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(superposition,[status(thm)],[c_88949,c_114]) ).

cnf(c_89140,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_89129,c_1340]) ).

cnf(c_90225,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
    inference(forward_subsumption_resolution,[status(thm)],[c_89140,c_126]) ).

cnf(c_90332,plain,
    ( ~ p_LES_EQU_(n0,n0)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(superposition,[status(thm)],[c_90225,c_337]) ).

cnf(c_90340,plain,
    ( ~ p_LES_EQU_(n0,n0)
    | fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0
    | p__pred_(sP3_iProver_def)
    | p__pred_(sP4_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_90332,c_3563,c_3566,c_3567,c_66786,c_90225]) ).

cnf(c_90341,plain,
    fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0,
    inference(forward_subsumption_resolution,[status(thm)],[c_90340,c_3572,c_3571,c_67034]) ).

cnf(c_90381,plain,
    ~ p_LES_EQU_(n0,n0),
    inference(demodulation,[status(thm)],[c_3568,c_90341]) ).

cnf(c_90382,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_90381,c_67034]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : HWV017-2 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:38:20 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 27.86/4.70  % SZS status Started for theBenchmark.p
% 27.86/4.70  % SZS status Unsatisfiable for theBenchmark.p
% 27.86/4.70  
% 27.86/4.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 27.86/4.70  
% 27.86/4.70  ------  iProver source info
% 27.86/4.70  
% 27.86/4.70  git: date: 2024-05-02 19:28:25 +0000
% 27.86/4.70  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 27.86/4.70  git: non_committed_changes: false
% 27.86/4.70  
% 27.86/4.70  ------ Parsing...successful
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  ------ Preprocessing... sup_sim: 1  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 
% 27.86/4.70  
% 27.86/4.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 27.86/4.70  
% 27.86/4.70  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 27.86/4.70  ------ Proving...
% 27.86/4.70  ------ Problem Properties 
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  clauses                                 131
% 27.86/4.70  conjectures                             5
% 27.86/4.70  EPR                                     14
% 27.86/4.70  Horn                                    83
% 27.86/4.70  unary                                   38
% 27.86/4.70  binary                                  40
% 27.86/4.70  lits                                    327
% 27.86/4.70  lits eq                                 70
% 27.86/4.70  fd_pure                                 0
% 27.86/4.70  fd_pseudo                               0
% 27.86/4.70  fd_cond                                 1
% 27.86/4.70  fd_pseudo_cond                          6
% 27.86/4.70  AC symbols                              0
% 27.86/4.70  
% 27.86/4.70  ------ Schedule dynamic 5 is on 
% 27.86/4.70  
% 27.86/4.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  ------ 
% 27.86/4.70  Current options:
% 27.86/4.70  ------ 
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  ------ Proving...
% 27.86/4.70  
% 27.86/4.70  
% 27.86/4.70  % SZS status Unsatisfiable for theBenchmark.p
% 27.86/4.70  
% 27.86/4.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.86/4.70  
% 27.86/4.71  
%------------------------------------------------------------------------------