TSTP Solution File: LCL834-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:40:08 EDT 2024

% Result   : Unsatisfiable 4.24s 1.22s
% Output   : CNFRefutation 4.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-5 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_483,plain,
    hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta_0) ).

cnf(c_484,plain,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_apps__preserves__beta_0) ).

cnf(c_492,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_4011,plain,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____)),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat))))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(instantiation,[status(thm)],[c_484]) ).

cnf(c_4154,plain,
    hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____)),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(instantiation,[status(thm)],[c_483]) ).

cnf(c_4155,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4154,c_4011,c_492]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n003.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 : Thu May  2 19:15:50 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 4.24/1.22  % SZS status Started for theBenchmark.p
% 4.24/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.22  
% 4.24/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.24/1.22  
% 4.24/1.22  ------  iProver source info
% 4.24/1.22  
% 4.24/1.22  git: date: 2024-05-02 19:28:25 +0000
% 4.24/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.24/1.22  git: non_committed_changes: false
% 4.24/1.22  
% 4.24/1.22  ------ Parsing...successful
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  ------ Preprocessing... sup_sim: 0  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  pe_s  pe_e 
% 4.24/1.22  
% 4.24/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 6 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 4.24/1.22  
% 4.24/1.22  ------ Preprocessing...
% 4.24/1.22  ------ Proving...
% 4.24/1.22  ------ Problem Properties 
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  clauses                                 349
% 4.24/1.22  conjectures                             1
% 4.24/1.22  EPR                                     15
% 4.24/1.22  Horn                                    278
% 4.24/1.22  unary                                   130
% 4.24/1.22  binary                                  142
% 4.24/1.22  lits                                    676
% 4.24/1.22  lits eq                                 322
% 4.24/1.22  fd_pure                                 0
% 4.24/1.22  fd_pseudo                               0
% 4.24/1.22  fd_cond                                 12
% 4.24/1.22  fd_pseudo_cond                          53
% 4.24/1.22  AC symbols                              0
% 4.24/1.22  
% 4.24/1.22  ------ Input Options Time Limit: Unbounded
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  ------ 
% 4.24/1.22  Current options:
% 4.24/1.22  ------ 
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  ------ Proving...
% 4.24/1.22  
% 4.24/1.22  
% 4.24/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.22  
% 4.24/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.22  
% 4.24/1.22  
%------------------------------------------------------------------------------