TSTP Solution File: LCL794-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL794-1 : 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 02:39:59 EDT 2024

% Result   : Unsatisfiable 57.42s 8.70s
% Output   : CNFRefutation 57.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   17 (   1 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-5 aty)
%            Number of variables   :   32 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_444,plain,
    ( ~ c_Type_Otyping(X0,X1,X2)
    | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__type_0) ).

cnf(c_448,plain,
    ( ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
    | ~ c_Type_Otyping(X0,X4,X2)
    | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_0) ).

cnf(c_451,plain,
    c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),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_uT_H_0) ).

cnf(c_453,plain,
    hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shift__eq_0) ).

cnf(c_456,plain,
    c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

cnf(c_458,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),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_conjecture_0) ).

cnf(c_3084,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
    | ~ c_Type_Otyping(X0,X5,hAPP(hAPP(c_Type_Otype_OFun,X4),X6))
    | c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X5,X1)),X3),X6) ),
    inference(superposition,[status(thm)],[c_444,c_448]) ).

cnf(c_3215,plain,
    c_Type_Otyping(c_Type_Oshift(X0,X1,X2,X3),c_Lambda_OdB_OVar(X1),X2),
    inference(superposition,[status(thm)],[c_453,c_456]) ).

cnf(c_6960,plain,
    ( ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
    | c_Type_Otyping(c_Type_Oshift(X0,X4,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X4)),c_Lambda_OdB_OVar(X4)),X3) ),
    inference(superposition,[status(thm)],[c_3215,c_3084]) ).

cnf(c_33173,plain,
    ~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    inference(superposition,[status(thm)],[c_6960,c_458]) ).

cnf(c_33179,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_33173,c_451]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL794-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11  % 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 18:43:06 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 57.42/8.70  % SZS status Started for theBenchmark.p
% 57.42/8.70  % SZS status Unsatisfiable for theBenchmark.p
% 57.42/8.70  
% 57.42/8.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 57.42/8.70  
% 57.42/8.70  ------  iProver source info
% 57.42/8.70  
% 57.42/8.70  git: date: 2024-05-02 19:28:25 +0000
% 57.42/8.70  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 57.42/8.70  git: non_committed_changes: false
% 57.42/8.70  
% 57.42/8.70  ------ Parsing...successful
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  ------ Preprocessing... sf_s  rm: 63 0s  sf_e  sf_s  rm: 3 0s  sf_e 
% 57.42/8.70  
% 57.42/8.70  ------ Preprocessing...
% 57.42/8.70  
% 57.42/8.70  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 57.42/8.70  ------ Proving...
% 57.42/8.70  ------ Problem Properties 
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  clauses                                 293
% 57.42/8.70  conjectures                             1
% 57.42/8.70  EPR                                     37
% 57.42/8.70  Horn                                    275
% 57.42/8.70  unary                                   120
% 57.42/8.70  binary                                  116
% 57.42/8.70  lits                                    543
% 57.42/8.70  lits eq                                 232
% 57.42/8.70  fd_pure                                 0
% 57.42/8.70  fd_pseudo                               0
% 57.42/8.70  fd_cond                                 14
% 57.42/8.70  fd_pseudo_cond                          44
% 57.42/8.70  AC symbols                              0
% 57.42/8.70  
% 57.42/8.70  ------ Input Options Time Limit: Unbounded
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  ------ 
% 57.42/8.70  Current options:
% 57.42/8.70  ------ 
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  ------ Proving...
% 57.42/8.70  
% 57.42/8.70  
% 57.42/8.70  % SZS status Unsatisfiable for theBenchmark.p
% 57.42/8.70  
% 57.42/8.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.42/8.70  
% 57.42/8.70  
%------------------------------------------------------------------------------