TSTP Solution File: SET084-7 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 15:06:20 EDT 2023

% Result   : Unsatisfiable 3.36s 1.18s
% Output   : CNFRefutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   8 unt;   1 nHn;  13 RR)
%            Number of literals    :   20 (   7 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_60,plain,
    ~ member(X0,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).

cnf(c_79,plain,
    ( ~ member(X0,universal_class)
    | member(X0,singleton(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).

cnf(c_82,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).

cnf(c_83,plain,
    ( singleton(X0) = null_class
    | member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).

cnf(c_84,negated_conjecture,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

cnf(c_85,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

cnf(c_86,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).

cnf(c_5793,plain,
    ( ~ member(x,universal_class)
    | member(x,singleton(y)) ),
    inference(superposition,[status(thm)],[c_84,c_79]) ).

cnf(c_5885,plain,
    ( ~ member(x,universal_class)
    | x = y ),
    inference(superposition,[status(thm)],[c_5793,c_82]) ).

cnf(c_5887,plain,
    ~ member(x,universal_class),
    inference(forward_subsumption_resolution,[status(thm)],[c_5885,c_86]) ).

cnf(c_5914,plain,
    singleton(x) = null_class,
    inference(superposition,[status(thm)],[c_83,c_5887]) ).

cnf(c_5915,plain,
    singleton(y) = null_class,
    inference(demodulation,[status(thm)],[c_84,c_5914]) ).

cnf(c_5940,plain,
    ( ~ member(y,universal_class)
    | member(y,null_class) ),
    inference(superposition,[status(thm)],[c_5915,c_79]) ).

cnf(c_5948,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5940,c_60,c_85]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n022.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 11:43:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.36/1.18  % SZS status Started for theBenchmark.p
% 3.36/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.18  
% 3.36/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.36/1.18  
% 3.36/1.18  ------  iProver source info
% 3.36/1.18  
% 3.36/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.36/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.36/1.18  git: non_committed_changes: false
% 3.36/1.18  git: last_make_outside_of_git: false
% 3.36/1.18  
% 3.36/1.18  ------ Parsing...successful
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  ------ 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 
% 3.36/1.18  
% 3.36/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.36/1.18  
% 3.36/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.36/1.18  ------ Proving...
% 3.36/1.18  ------ Problem Properties 
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  clauses                                 119
% 3.36/1.18  conjectures                             3
% 3.36/1.18  EPR                                     19
% 3.36/1.18  Horn                                    104
% 3.36/1.18  unary                                   44
% 3.36/1.18  binary                                  47
% 3.36/1.18  lits                                    228
% 3.36/1.18  lits eq                                 57
% 3.36/1.18  fd_pure                                 0
% 3.36/1.18  fd_pseudo                               0
% 3.36/1.18  fd_cond                                 5
% 3.36/1.18  fd_pseudo_cond                          9
% 3.36/1.18  AC symbols                              0
% 3.36/1.18  
% 3.36/1.18  ------ Schedule dynamic 5 is on 
% 3.36/1.18  
% 3.36/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  ------ 
% 3.36/1.18  Current options:
% 3.36/1.18  ------ 
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  ------ Proving...
% 3.36/1.18  
% 3.36/1.18  
% 3.36/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.18  
% 3.36/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.18  
% 3.36/1.18  
%------------------------------------------------------------------------------