TSTP Solution File: SET864-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 15:10:24 EDT 2023

% Result   : Unsatisfiable 1.56s 1.18s
% Output   : CNFRefutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   5 unt;   0 nHn;  13 RR)
%            Number of literals    :   25 (   7 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
    | ~ c_lessequals(c_Union(X0,X2),X3,tc_set(X2))
    | ~ c_in(X3,X1,tc_set(X2))
    | c_Union(X0,X2) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).

cnf(c_50,negated_conjecture,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_51,negated_conjecture,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_52,negated_conjecture,
    ( ~ c_in(X0,v_S,tc_set(t_a))
    | c_in(v_x(X0),v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_53,negated_conjecture,
    ( ~ c_in(X0,v_S,tc_set(t_a))
    | c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_54,negated_conjecture,
    ( v_x(X0) != X0
    | ~ c_in(X0,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_301,plain,
    ( ~ c_lessequals(c_Union(v_c,t_a),X0,tc_set(t_a))
    | ~ c_in(X0,v_S,tc_set(t_a))
    | c_Union(v_c,t_a) = X0 ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_312,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | v_x(c_Union(v_c,t_a)) = c_Union(v_c,t_a) ),
    inference(superposition,[status(thm)],[c_53,c_301]) ).

cnf(c_313,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | v_x(c_Union(v_c,t_a)) = c_Union(v_c,t_a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_312,c_51]) ).

cnf(c_320,plain,
    ( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | v_x(c_Union(v_c,t_a)) = c_Union(v_c,t_a) ),
    inference(superposition,[status(thm)],[c_52,c_313]) ).

cnf(c_321,plain,
    v_x(c_Union(v_c,t_a)) = c_Union(v_c,t_a),
    inference(forward_subsumption_resolution,[status(thm)],[c_320,c_51]) ).

cnf(c_322,plain,
    ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    inference(superposition,[status(thm)],[c_321,c_54]) ).

cnf(c_325,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_322,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 15:15:11 EDT 2023
% 0.14/0.35  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.56/1.18  % SZS status Started for theBenchmark.p
% 1.56/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.18  
% 1.56/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.56/1.18  
% 1.56/1.18  ------  iProver source info
% 1.56/1.18  
% 1.56/1.18  git: date: 2023-05-31 18:12:56 +0000
% 1.56/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.56/1.18  git: non_committed_changes: false
% 1.56/1.18  git: last_make_outside_of_git: false
% 1.56/1.18  
% 1.56/1.18  ------ Parsing...successful
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.56/1.18  
% 1.56/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.56/1.18  
% 1.56/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.56/1.18  ------ Proving...
% 1.56/1.18  ------ Problem Properties 
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  clauses                                 6
% 1.56/1.18  conjectures                             5
% 1.56/1.18  EPR                                     0
% 1.56/1.18  Horn                                    6
% 1.56/1.18  unary                                   2
% 1.56/1.18  binary                                  3
% 1.56/1.18  lits                                    12
% 1.56/1.18  lits eq                                 2
% 1.56/1.18  fd_pure                                 0
% 1.56/1.18  fd_pseudo                               0
% 1.56/1.18  fd_cond                                 0
% 1.56/1.18  fd_pseudo_cond                          1
% 1.56/1.18  AC symbols                              0
% 1.56/1.18  
% 1.56/1.18  ------ Schedule dynamic 5 is on 
% 1.56/1.18  
% 1.56/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  ------ 
% 1.56/1.18  Current options:
% 1.56/1.18  ------ 
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  ------ Proving...
% 1.56/1.18  
% 1.56/1.18  
% 1.56/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.18  
% 1.56/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.56/1.18  
% 1.56/1.18  
%------------------------------------------------------------------------------