TSTP Solution File: LCL811-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL811-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 02:40:03 EDT 2024

% Result   : Unsatisfiable 28.32s 4.66s
% Output   : CNFRefutation 28.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   5 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-5 aty)
%            Number of variables   :   33 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_418,plain,
    v_n____ = v_i____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_True_0) ).

cnf(c_448,plain,
    c_List_Olist_OCons(hAPP(X0,X1),c_List_Omap(X0,X2,X3,X4),X4) = c_List_Omap(X0,c_List_Olist_OCons(X1,X2,X3),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map_Osimps_I2_J_0) ).

cnf(c_453,plain,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_454,negated_conjecture,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_b____,v_bs____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_477,plain,
    hAPP(c_COMBC(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBC__def_0) ).

cnf(c_4293,plain,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_b____,v_bs____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    inference(light_normalisation,[status(thm)],[c_454,c_418]) ).

cnf(c_4312,plain,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_n____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    inference(light_normalisation,[status(thm)],[c_453,c_418]) ).

cnf(c_14311,plain,
    c_List_Olist_OCons(hAPP(hAPP(X0,X1),X2),c_List_Omap(c_COMBC(X0,X2,X3,X4,X5),X6,X7,X8),X8) = c_List_Omap(c_COMBC(X0,X2,X3,X4,X5),c_List_Olist_OCons(X1,X6,X7),X7,X8),
    inference(superposition,[status(thm)],[c_477,c_448]) ).

cnf(c_14992,plain,
    c_List_Olist_OCons(hAPP(hAPP(hAPP(X0,X1),X2),X3),c_List_Omap(c_COMBC(c_COMBC(X0,X2,X4,X5,X6),X3,X7,X8,X9),X10,X11,X12),X12) = c_List_Omap(c_COMBC(c_COMBC(X0,X2,X4,X5,X6),X3,X7,X8,X9),c_List_Olist_OCons(X1,X10,X11),X11,X12),
    inference(superposition,[status(thm)],[c_477,c_14311]) ).

cnf(c_15018,plain,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_u____),v_n____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_bs____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    inference(superposition,[status(thm)],[c_14311,c_4312]) ).

cnf(c_69675,plain,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_b____,v_bs____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    inference(superposition,[status(thm)],[c_14992,c_15018]) ).

cnf(c_69830,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_4293,c_69675]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LCL811-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 18:23:06 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  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
% 28.32/4.66  % SZS status Started for theBenchmark.p
% 28.32/4.66  % SZS status Unsatisfiable for theBenchmark.p
% 28.32/4.66  
% 28.32/4.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.32/4.66  
% 28.32/4.66  ------  iProver source info
% 28.32/4.66  
% 28.32/4.66  git: date: 2024-05-02 19:28:25 +0000
% 28.32/4.66  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 28.32/4.66  git: non_committed_changes: false
% 28.32/4.66  
% 28.32/4.66  ------ Parsing...successful
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  ------ Preprocessing... sup_sim: 16  sf_s  rm: 46 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 8  sf_s  rm: 21 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 21 0s  sf_e  pe_s  pe_e 
% 28.32/4.66  
% 28.32/4.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 28.32/4.66  
% 28.32/4.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 28.32/4.66  ------ Proving...
% 28.32/4.66  ------ Problem Properties 
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  clauses                                 287
% 28.32/4.66  conjectures                             0
% 28.32/4.66  EPR                                     6
% 28.32/4.66  Horn                                    268
% 28.32/4.66  unary                                   138
% 28.32/4.66  binary                                  124
% 28.32/4.66  lits                                    463
% 28.32/4.66  lits eq                                 287
% 28.32/4.66  fd_pure                                 0
% 28.32/4.66  fd_pseudo                               0
% 28.32/4.66  fd_cond                                 6
% 28.32/4.66  fd_pseudo_cond                          51
% 28.32/4.66  AC symbols                              0
% 28.32/4.66  
% 28.32/4.66  ------ Input Options Time Limit: Unbounded
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  ------ 
% 28.32/4.66  Current options:
% 28.32/4.66  ------ 
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  ------ Proving...
% 28.32/4.66  
% 28.32/4.66  
% 28.32/4.66  % SZS status Unsatisfiable for theBenchmark.p
% 28.32/4.66  
% 28.32/4.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.32/4.66  
% 28.32/4.66  
%------------------------------------------------------------------------------