TSTP Solution File: SET833-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET833-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 03:01:42 EDT 2024

% Result   : Unsatisfiable 1.71s 1.19s
% Output   : CNFRefutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   4 unt;   0 nHn;   8 RR)
%            Number of literals    :   13 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_in(X3,X0,X2)
    | c_in(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

cnf(c_50,negated_conjecture,
    c_lessequals(v_Z,v_V,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,negated_conjecture,
    c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_52,negated_conjecture,
    ~ c_in(v_x,v_V,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_65,plain,
    ( ~ c_in(X0,v_Z,t_a)
    | c_in(X0,v_V,t_a) ),
    inference(resolution,[status(thm)],[c_49,c_50]) ).

cnf(c_83,plain,
    ( ~ c_in(X0_13,v_Z,t_a)
    | c_in(X0_13,v_V,t_a) ),
    inference(subtyping,[status(esa)],[c_65]) ).

cnf(c_88,plain,
    ( ~ c_in(v_x,v_Z,t_a)
    | c_in(v_x,v_V,t_a) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_89,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_88,c_52,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SET833-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n008.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 : Thu May  2 20:37:13 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 1.71/1.19  % SZS status Started for theBenchmark.p
% 1.71/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 1.71/1.19  
% 1.71/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.71/1.19  
% 1.71/1.19  ------  iProver source info
% 1.71/1.19  
% 1.71/1.19  git: date: 2024-05-02 19:28:25 +0000
% 1.71/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.71/1.19  git: non_committed_changes: false
% 1.71/1.19  
% 1.71/1.19  ------ Parsing...successful
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.71/1.19  
% 1.71/1.19  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.71/1.19   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.71/1.19  ------ Proving...
% 1.71/1.19  ------ Problem Properties 
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  clauses                                 3
% 1.71/1.19  conjectures                             2
% 1.71/1.19  EPR                                     3
% 1.71/1.19  Horn                                    3
% 1.71/1.19  unary                                   2
% 1.71/1.19  binary                                  1
% 1.71/1.19  lits                                    4
% 1.71/1.19  lits eq                                 0
% 1.71/1.19  fd_pure                                 0
% 1.71/1.19  fd_pseudo                               0
% 1.71/1.19  fd_cond                                 0
% 1.71/1.19  fd_pseudo_cond                          0
% 1.71/1.19  AC symbols                              0
% 1.71/1.19  
% 1.71/1.19  ------ Schedule EPR Horn non eq is on
% 1.71/1.19  
% 1.71/1.19  ------ no equalities: superposition off 
% 1.71/1.19  
% 1.71/1.19  ------ Option_epr_horn Time Limit: Unbounded
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  ------ 
% 1.71/1.19  Current options:
% 1.71/1.19  ------ 
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  ------ Proving...
% 1.71/1.19  
% 1.71/1.19  
% 1.71/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 1.71/1.19  
% 1.71/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.71/1.19  
% 1.71/1.19  
%------------------------------------------------------------------------------