TSTP Solution File: SET828-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET828-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 15:10:05 EDT 2023

% Result   : Unsatisfiable 1.17s 1.09s
% Output   : CNFRefutation 1.17s
% 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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

cnf(c_50,negated_conjecture,
    c_lessequals(v_X,v_Y,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

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

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

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

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

cnf(c_86,plain,
    ( ~ c_in(v_x,v_X,t_a)
    | c_in(v_x,v_Y,t_a) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_87,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_86,c_52,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET828-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sat Aug 26 08:30:13 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.17/1.09  % SZS status Started for theBenchmark.p
% 1.17/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.09  
% 1.17/1.09  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.17/1.09  
% 1.17/1.09  ------  iProver source info
% 1.17/1.09  
% 1.17/1.09  git: date: 2023-05-31 18:12:56 +0000
% 1.17/1.09  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.17/1.09  git: non_committed_changes: false
% 1.17/1.09  git: last_make_outside_of_git: false
% 1.17/1.09  
% 1.17/1.09  ------ Parsing...successful
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  ------ 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 
% 1.17/1.09  
% 1.17/1.09  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.17/1.09   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.17/1.09  ------ Proving...
% 1.17/1.09  ------ Problem Properties 
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  clauses                                 3
% 1.17/1.09  conjectures                             2
% 1.17/1.09  EPR                                     3
% 1.17/1.09  Horn                                    3
% 1.17/1.09  unary                                   2
% 1.17/1.09  binary                                  1
% 1.17/1.09  lits                                    4
% 1.17/1.09  lits eq                                 0
% 1.17/1.09  fd_pure                                 0
% 1.17/1.09  fd_pseudo                               0
% 1.17/1.09  fd_cond                                 0
% 1.17/1.09  fd_pseudo_cond                          0
% 1.17/1.09  AC symbols                              0
% 1.17/1.09  
% 1.17/1.09  ------ Schedule EPR Horn non eq is on
% 1.17/1.09  
% 1.17/1.09  ------ no equalities: superposition off 
% 1.17/1.09  
% 1.17/1.09  ------ Option_epr_horn Time Limit: Unbounded
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  ------ 
% 1.17/1.09  Current options:
% 1.17/1.09  ------ 
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  ------ Proving...
% 1.17/1.09  
% 1.17/1.09  
% 1.17/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.09  
% 1.17/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.09  
% 1.17/1.09  
%------------------------------------------------------------------------------