TSTP Solution File: LCL787-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL787-1 : TPTP v8.2.0. 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 : Mon Jun 24 11:08:23 EDT 2024

% Result   : Unsatisfiable 28.46s 4.66s
% Output   : CNFRefutation 28.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   3 unt;   0 nHn;  11 RR)
%            Number of literals    :   20 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-5 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_267,plain,
    ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
    | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing__elims_I2_J_1) ).

cnf(c_394,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
    | v_thesis____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).

cnf(c_401,plain,
    ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
    | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing__elims_I2_J_0) ).

cnf(c_403,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_404,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_680,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_404,c_394]) ).

cnf(c_681,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
    inference(renaming,[status(thm)],[c_680]) ).

cnf(c_6189,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),v_a____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    inference(instantiation,[status(thm)],[c_401]) ).

cnf(c_6190,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),v_a____)) ),
    inference(instantiation,[status(thm)],[c_267]) ).

cnf(c_20820,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),v_a____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),v_a____)) ),
    inference(instantiation,[status(thm)],[c_681]) ).

cnf(c_20821,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20820,c_6189,c_6190,c_403]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : LCL787-1 : TPTP v8.2.0. Released v4.1.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Jun 22 12:06:24 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.22/0.47  Running first-order theorem proving
% 0.22/0.47  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
% 28.46/4.66  % SZS status Started for theBenchmark.p
% 28.46/4.66  % SZS status Unsatisfiable for theBenchmark.p
% 28.46/4.66  
% 28.46/4.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.46/4.66  
% 28.46/4.66  ------  iProver source info
% 28.46/4.66  
% 28.46/4.66  git: date: 2024-06-12 09:56:46 +0000
% 28.46/4.66  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 28.46/4.66  git: non_committed_changes: false
% 28.46/4.66  
% 28.46/4.66  ------ Parsing...successful
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  ------ Preprocessing...
% 28.46/4.66  
% 28.46/4.66  ------ Preprocessing...
% 28.46/4.66  
% 28.46/4.66  ------ Preprocessing...
% 28.46/4.66  ------ Proving...
% 28.46/4.66  ------ Problem Properties 
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  clauses                                 314
% 28.46/4.66  conjectures                             1
% 28.46/4.66  EPR                                     34
% 28.46/4.66  Horn                                    282
% 28.46/4.66  unary                                   105
% 28.46/4.66  binary                                  132
% 28.46/4.66  lits                                    618
% 28.46/4.66  lits eq                                 247
% 28.46/4.66  fd_pure                                 0
% 28.46/4.66  fd_pseudo                               0
% 28.46/4.66  fd_cond                                 4
% 28.46/4.66  fd_pseudo_cond                          60
% 28.46/4.66  AC symbols                              0
% 28.46/4.66  
% 28.46/4.66  ------ Input Options Time Limit: Unbounded
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  ------ 
% 28.46/4.66  Current options:
% 28.46/4.66  ------ 
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  ------ Proving...
% 28.46/4.66  
% 28.46/4.66  
% 28.46/4.66  % SZS status Unsatisfiable for theBenchmark.p
% 28.46/4.66  
% 28.46/4.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.46/4.66  
% 28.46/4.66  
%------------------------------------------------------------------------------