TSTP Solution File: SWV580-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV580-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 22:41:57 EDT 2023

% Result   : Unsatisfiable 8.08s 1.68s
% Output   : CNFRefutation 8.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   4 unt;   0 nHn;  12 RR)
%            Number of literals    :   28 (  19 equ;  17 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-4 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_555,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
    | ~ class_Orderings_Olinorder(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ivl__disj__un_I3_J_0) ).

cnf(c_600,plain,
    c_HOL_Oord__class_Oless(v_m,v_n,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_602,negated_conjecture,
    c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_631,plain,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

cnf(c_2521,plain,
    ( X0 != tc_nat
    | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X0),tc_fun(X0,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_555,c_631]) ).

cnf(c_2522,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,tc_nat) ),
    inference(unflattening,[status(thm)],[c_2521]) ).

cnf(c_3901,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,tc_nat) ),
    inference(prop_impl_just,[status(thm)],[c_2522]) ).

cnf(c_6363,plain,
    ( X0 != X1
    | X2 != X3
    | X4 != X5
    | X6 != X7
    | c_Finite__Set_Osetsum(X0,X2,X4,X6) = c_Finite__Set_Osetsum(X1,X3,X5,X7) ),
    theory(equality) ).

cnf(c_7753,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat)
    | v_f != v_f
    | t_a != t_a
    | tc_nat != tc_nat
    | c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) = c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a) ),
    inference(instantiation,[status(thm)],[c_6363]) ).

cnf(c_7754,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat)
    | c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) = c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a) ),
    inference(equality_resolution_simp,[status(thm)],[c_7753]) ).

cnf(c_12564,plain,
    ( ~ c_HOL_Oord__class_Oless(v_m,v_n,tc_nat)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat) ),
    inference(instantiation,[status(thm)],[c_3901]) ).

cnf(c_12565,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_12564,c_7754,c_602,c_600]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV580-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 07:14:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.08/1.68  % SZS status Started for theBenchmark.p
% 8.08/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.68  
% 8.08/1.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.08/1.68  
% 8.08/1.68  ------  iProver source info
% 8.08/1.68  
% 8.08/1.68  git: date: 2023-05-31 18:12:56 +0000
% 8.08/1.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.08/1.68  git: non_committed_changes: false
% 8.08/1.68  git: last_make_outside_of_git: false
% 8.08/1.68  
% 8.08/1.68  ------ Parsing...successful
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  ------ Preprocessing... sup_sim: 1  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 2  pe_s  pe_e 
% 8.08/1.68  
% 8.08/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 4 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 8.08/1.68  
% 8.08/1.68  ------ Preprocessing...
% 8.08/1.68  ------ Proving...
% 8.08/1.68  ------ Problem Properties 
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  clauses                                 463
% 8.08/1.68  conjectures                             2
% 8.08/1.68  EPR                                     49
% 8.08/1.68  Horn                                    396
% 8.08/1.68  unary                                   133
% 8.08/1.68  binary                                  207
% 8.08/1.68  lits                                    938
% 8.08/1.68  lits eq                                 284
% 8.08/1.68  fd_pure                                 0
% 8.08/1.68  fd_pseudo                               0
% 8.08/1.68  fd_cond                                 5
% 8.08/1.68  fd_pseudo_cond                          27
% 8.08/1.68  AC symbols                              0
% 8.08/1.68  
% 8.08/1.68  ------ Input Options Time Limit: Unbounded
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  ------ 
% 8.08/1.68  Current options:
% 8.08/1.68  ------ 
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  ------ Proving...
% 8.08/1.68  
% 8.08/1.68  
% 8.08/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.68  
% 8.08/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.08/1.68  
% 8.08/1.68  
%------------------------------------------------------------------------------