TSTP Solution File: SWV843-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV843-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 : Thu Aug 31 22:42:50 EDT 2023

% Result   : Unsatisfiable 19.77s 3.71s
% Output   : CNFRefutation 19.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   35 (   6 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   2 con; 0-4 aty)
%            Number of variables   :   31 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_292,plain,
    ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X0)),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).

cnf(c_752,plain,
    ( ~ hBOOL(c_in(X0,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2)
    | hBOOL(hAPP(hAPP(c_lessequals(X2),X0),hAPP(c_Finite__Set_Olinorder__class_OMax(X2),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__ge_0) ).

cnf(c_757,plain,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
    | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UNIV_0) ).

cnf(c_816,plain,
    hBOOL(c_in(hAPP(X0,X1),c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).

cnf(c_929,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | hAPP(c_Finite__Set_Olinorder__class_OMax(X0),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__singleton_0) ).

cnf(c_990,plain,
    ( ~ c_Finite__Set_Ofinite(X0,X1)
    | c_Finite__Set_Ofinite(c_Set_Oimage(X2,X0,X1,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).

cnf(c_1064,plain,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

cnf(c_1076,plain,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).

cnf(c_1126,plain,
    ( ~ class_Finite__Set_Ofinite_Ofinite(tc_bool)
    | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool) ),
    inference(instantiation,[status(thm)],[c_757]) ).

cnf(c_1891,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | hAPP(c_Finite__Set_Olinorder__class_OMax(X0),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)) = X1 ),
    inference(prop_impl_just,[status(thm)],[c_929]) ).

cnf(c_15389,plain,
    ( X0 != tc_nat
    | hAPP(c_Finite__Set_Olinorder__class_OMax(X0),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_1891,c_1064]) ).

cnf(c_15390,plain,
    hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat)) = X0,
    inference(unflattening,[status(thm)],[c_15389]) ).

cnf(c_16132,plain,
    ( X0 != tc_nat
    | ~ hBOOL(c_in(X1,X2,X0))
    | ~ c_Finite__Set_Ofinite(X2,X0)
    | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_Finite__Set_Olinorder__class_OMax(X0),X2))) ),
    inference(resolution_lifted,[status(thm)],[c_752,c_1064]) ).

cnf(c_16133,plain,
    ( ~ hBOOL(c_in(X0,X1,tc_nat))
    | ~ c_Finite__Set_Ofinite(X1,tc_nat)
    | hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X0),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),X1))) ),
    inference(unflattening,[status(thm)],[c_16132]) ).

cnf(c_69255,plain,
    ( ~ hBOOL(c_in(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),X0)),X0,tc_nat))
    | ~ c_Finite__Set_Ofinite(X0,tc_nat) ),
    inference(superposition,[status(thm)],[c_16133,c_292]) ).

cnf(c_70154,plain,
    hBOOL(c_in(X0,c_Set_Oimage(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2),X2)),
    inference(superposition,[status(thm)],[c_15390,c_816]) ).

cnf(c_70193,plain,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0,tc_nat),tc_nat),
    inference(superposition,[status(thm)],[c_70154,c_69255]) ).

cnf(c_70205,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0),
    inference(superposition,[status(thm)],[c_990,c_70193]) ).

cnf(c_70206,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool),
    inference(instantiation,[status(thm)],[c_70205]) ).

cnf(c_70207,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_70206,c_1126,c_1076]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV843-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 03:47:54 EDT 2023
% 0.15/0.35  % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.77/3.71  % SZS status Started for theBenchmark.p
% 19.77/3.71  % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.71  
% 19.77/3.71  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 19.77/3.71  
% 19.77/3.71  ------  iProver source info
% 19.77/3.71  
% 19.77/3.71  git: date: 2023-05-31 18:12:56 +0000
% 19.77/3.71  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 19.77/3.71  git: non_committed_changes: false
% 19.77/3.71  git: last_make_outside_of_git: false
% 19.77/3.71  
% 19.77/3.71  ------ Parsing...successful
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  ------ Preprocessing... sup_sim: 24  sf_s  rm: 94 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 111  sf_s  rm: 16 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 16 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 16 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 16 0s  sf_e  pe_s  pe_e 
% 19.77/3.71  
% 19.77/3.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 19.77/3.71  
% 19.77/3.71  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 19.77/3.71  ------ Proving...
% 19.77/3.71  ------ Problem Properties 
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  clauses                                 712
% 19.77/3.71  conjectures                             6
% 19.77/3.71  EPR                                     28
% 19.77/3.71  Horn                                    584
% 19.77/3.71  unary                                   194
% 19.77/3.71  binary                                  273
% 19.77/3.71  lits                                    1569
% 19.77/3.71  lits eq                                 415
% 19.77/3.71  fd_pure                                 0
% 19.77/3.71  fd_pseudo                               0
% 19.77/3.71  fd_cond                                 16
% 19.77/3.71  fd_pseudo_cond                          60
% 19.77/3.71  AC symbols                              0
% 19.77/3.71  
% 19.77/3.71  ------ Schedule dynamic 5 is on 
% 19.77/3.71  
% 19.77/3.71  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  ------ 
% 19.77/3.71  Current options:
% 19.77/3.71  ------ 
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  ------ Proving...
% 19.77/3.71  
% 19.77/3.71  
% 19.77/3.71  % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.71  
% 19.77/3.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.77/3.71  
% 19.77/3.71  
%------------------------------------------------------------------------------