TSTP Solution File: SET073-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET073-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 15:06:12 EDT 2023

% Result   : Unsatisfiable 3.99s 1.10s
% Output   : CNFRefutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   6 unt;   3 nHn;  10 RR)
%            Number of literals    :   23 (   7 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_1) ).

cnf(c_50,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_2) ).

cnf(c_59,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c_71,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_74,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_117,plain,
    ( intersection(X0,regular(X0)) = null_class
    | X0 = null_class ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).

cnf(c_3697,plain,
    ( ~ member(x,universal_class)
    | member(x,null_class) ),
    inference(superposition,[status(thm)],[c_50,c_59]) ).

cnf(c_3699,plain,
    member(x,null_class),
    inference(forward_subsumption_resolution,[status(thm)],[c_3697,c_49]) ).

cnf(c_4177,plain,
    ( ~ member(X0,null_class)
    | X1 = null_class
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_117,c_71]) ).

cnf(c_9126,plain,
    ( X0 = null_class
    | member(x,X0) ),
    inference(superposition,[status(thm)],[c_3699,c_4177]) ).

cnf(c_9363,plain,
    ( ~ member(x,X0)
    | complement(X0) = null_class ),
    inference(superposition,[status(thm)],[c_9126,c_74]) ).

cnf(c_10251,plain,
    complement(null_class) = null_class,
    inference(superposition,[status(thm)],[c_3699,c_9363]) ).

cnf(c_10522,plain,
    ~ member(X0,null_class),
    inference(superposition,[status(thm)],[c_10251,c_74]) ).

cnf(c_10527,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3699,c_10522]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET073-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Sat Aug 26 11:57:30 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.99/1.10  % SZS status Started for theBenchmark.p
% 3.99/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.10  
% 3.99/1.10  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.99/1.10  
% 3.99/1.10  ------  iProver source info
% 3.99/1.10  
% 3.99/1.10  git: date: 2023-05-31 18:12:56 +0000
% 3.99/1.10  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.99/1.10  git: non_committed_changes: false
% 3.99/1.10  git: last_make_outside_of_git: false
% 3.99/1.10  
% 3.99/1.10  ------ Parsing...successful
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.99/1.10  
% 3.99/1.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.99/1.10  
% 3.99/1.10  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.99/1.10  ------ Proving...
% 3.99/1.10  ------ Problem Properties 
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  clauses                                 85
% 3.99/1.10  conjectures                             2
% 3.99/1.10  EPR                                     13
% 3.99/1.10  Horn                                    77
% 3.99/1.10  unary                                   33
% 3.99/1.10  binary                                  32
% 3.99/1.10  lits                                    163
% 3.99/1.10  lits eq                                 37
% 3.99/1.10  fd_pure                                 0
% 3.99/1.10  fd_pseudo                               0
% 3.99/1.10  fd_cond                                 3
% 3.99/1.10  fd_pseudo_cond                          3
% 3.99/1.10  AC symbols                              0
% 3.99/1.10  
% 3.99/1.10  ------ Schedule dynamic 5 is on 
% 3.99/1.10  
% 3.99/1.10  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  ------ 
% 3.99/1.10  Current options:
% 3.99/1.10  ------ 
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  ------ Proving...
% 3.99/1.10  
% 3.99/1.10  
% 3.99/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.10  
% 3.99/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.10  
% 3.99/1.10  
%------------------------------------------------------------------------------