TSTP Solution File: SET090-7 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 15:06:23 EDT 2023

% Result   : Unsatisfiable 3.65s 1.14s
% Output   : CNFRefutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   4 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   7 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_84,plain,
    ( singleton(X0) != singleton(X1)
    | ~ member(X0,universal_class)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element1) ).

cnf(c_87,plain,
    ( ~ member(X0,universal_class)
    | member(member_of(singleton(X0)),universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists1) ).

cnf(c_88,plain,
    ( ~ member(X0,universal_class)
    | singleton(member_of(singleton(X0))) = singleton(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists2) ).

cnf(c_91,negated_conjecture,
    member(u,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).

cnf(c_92,negated_conjecture,
    member_of(singleton(u)) != u,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).

cnf(c_6948,plain,
    ( ~ member(u,universal_class)
    | member(member_of(singleton(u)),universal_class) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_7323,plain,
    singleton(member_of(singleton(u))) = singleton(u),
    inference(superposition,[status(thm)],[c_91,c_88]) ).

cnf(c_7564,plain,
    ( singleton(member_of(singleton(u))) != singleton(u)
    | ~ member(member_of(singleton(u)),universal_class)
    | member_of(singleton(u)) = u ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_7565,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7564,c_7323,c_6948,c_92,c_91]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 11:40:06 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.65/1.14  % SZS status Started for theBenchmark.p
% 3.65/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.14  
% 3.65/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.65/1.14  
% 3.65/1.14  ------  iProver source info
% 3.65/1.14  
% 3.65/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.65/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.65/1.14  git: non_committed_changes: false
% 3.65/1.14  git: last_make_outside_of_git: false
% 3.65/1.14  
% 3.65/1.14  ------ Parsing...successful
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  ------ 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 
% 3.65/1.14  
% 3.65/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.65/1.14  
% 3.65/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.65/1.14  ------ Proving...
% 3.65/1.14  ------ Problem Properties 
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  clauses                                 125
% 3.65/1.14  conjectures                             2
% 3.65/1.14  EPR                                     18
% 3.65/1.14  Horn                                    107
% 3.65/1.14  unary                                   43
% 3.65/1.14  binary                                  51
% 3.65/1.14  lits                                    245
% 3.65/1.14  lits eq                                 67
% 3.65/1.14  fd_pure                                 0
% 3.65/1.14  fd_pseudo                               0
% 3.65/1.14  fd_cond                                 5
% 3.65/1.14  fd_pseudo_cond                          12
% 3.65/1.14  AC symbols                              0
% 3.65/1.14  
% 3.65/1.14  ------ Schedule dynamic 5 is on 
% 3.65/1.14  
% 3.65/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  ------ 
% 3.65/1.14  Current options:
% 3.65/1.14  ------ 
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  ------ Proving...
% 3.65/1.14  
% 3.65/1.14  
% 3.65/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.14  
% 3.65/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.14  
% 3.65/1.14  
%------------------------------------------------------------------------------