TSTP Solution File: LCL795-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL795-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 02:40:00 EDT 2024

% Result   : Unsatisfiable 7.95s 1.68s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   3 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   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   :   11 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_896,plain,
    hAPP(hAPP(X0,X1),c_List_Ofoldr(X0,X2,X3,X4,X5)) = c_List_Ofoldr(X0,c_List_Olist_OCons(X1,X2,X4),X3,X4,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr_Osimps_I2_J_0) ).

cnf(c_920,plain,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).

cnf(c_922,plain,
    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)) = v_T____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_0) ).

cnf(c_923,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/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).

cnf(c_928,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_8600,plain,
    c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype) = v_T____,
    inference(demodulation,[status(thm)],[c_922,c_896]) ).

cnf(c_8690,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
    inference(demodulation,[status(thm)],[c_928,c_896,c_8600]) ).

cnf(c_21128,plain,
    ~ c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(superposition,[status(thm)],[c_923,c_8690]) ).

cnf(c_21129,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_920,c_21128]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : LCL795-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 19:33:57 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 7.95/1.68  % SZS status Started for theBenchmark.p
% 7.95/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.68  
% 7.95/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.95/1.68  
% 7.95/1.68  ------  iProver source info
% 7.95/1.68  
% 7.95/1.68  git: date: 2024-05-02 19:28:25 +0000
% 7.95/1.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.95/1.68  git: non_committed_changes: false
% 7.95/1.68  
% 7.95/1.68  ------ Parsing...successful
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  ------ Preprocessing... sup_sim: 39  sf_s  rm: 167 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e 
% 7.95/1.68  
% 7.95/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.95/1.68  
% 7.95/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.95/1.68  ------ Proving...
% 7.95/1.68  ------ Problem Properties 
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  clauses                                 434
% 7.95/1.68  conjectures                             0
% 7.95/1.68  EPR                                     36
% 7.95/1.68  Horn                                    389
% 7.95/1.68  unary                                   165
% 7.95/1.68  binary                                  177
% 7.95/1.68  lits                                    810
% 7.95/1.68  lits eq                                 289
% 7.95/1.68  fd_pure                                 0
% 7.95/1.68  fd_pseudo                               0
% 7.95/1.68  fd_cond                                 16
% 7.95/1.68  fd_pseudo_cond                          52
% 7.95/1.68  AC symbols                              0
% 7.95/1.68  
% 7.95/1.68  ------ Input Options Time Limit: Unbounded
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  ------ 
% 7.95/1.68  Current options:
% 7.95/1.68  ------ 
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  ------ Proving...
% 7.95/1.68  
% 7.95/1.68  
% 7.95/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.68  
% 7.95/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.68  
% 7.95/1.68  
%------------------------------------------------------------------------------