TSTP Solution File: SET096-7 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 15:06:27 EDT 2023

% Result   : Unsatisfiable 0.81s 1.29s
% Output   : CNFRefutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   18 (   8 unt;   3 nHn;  17 RR)
%            Number of literals    :   30 (  11 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

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

cnf(c_96,plain,
    ( ~ member(X0,X1)
    | subclass(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_singletons2) ).

cnf(c_97,negated_conjecture,
    subclass(x,singleton(y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).

cnf(c_98,negated_conjecture,
    null_class != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).

cnf(c_99,negated_conjecture,
    singleton(y) != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).

cnf(c_100,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_106,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(c_165,plain,
    ( X0 = null_class
    | member(regular(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c_7151,plain,
    ( ~ member(X0,x)
    | member(X0,singleton(y)) ),
    inference(superposition,[status(thm)],[c_97,c_100]) ).

cnf(c_7361,plain,
    ( ~ member(X0,x)
    | X0 = y ),
    inference(superposition,[status(thm)],[c_7151,c_82]) ).

cnf(c_7381,plain,
    ( regular(x) = y
    | null_class = x ),
    inference(superposition,[status(thm)],[c_165,c_7361]) ).

cnf(c_7382,plain,
    regular(x) = y,
    inference(forward_subsumption_resolution,[status(thm)],[c_7381,c_98]) ).

cnf(c_7391,plain,
    ( null_class = x
    | member(y,x) ),
    inference(superposition,[status(thm)],[c_7382,c_165]) ).

cnf(c_7392,plain,
    member(y,x),
    inference(forward_subsumption_resolution,[status(thm)],[c_7391,c_98]) ).

cnf(c_8122,plain,
    ( ~ subclass(singleton(y),x)
    | singleton(y) = x ),
    inference(superposition,[status(thm)],[c_97,c_106]) ).

cnf(c_8148,plain,
    ~ subclass(singleton(y),x),
    inference(forward_subsumption_resolution,[status(thm)],[c_8122,c_99]) ).

cnf(c_8344,plain,
    ~ member(y,x),
    inference(superposition,[status(thm)],[c_96,c_8148]) ).

cnf(c_8345,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8344,c_7392]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.16  % Command  : run_iprover %s %d THM
% 0.14/0.39  % Computer : n016.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Sat Aug 26 12:05:42 EDT 2023
% 0.14/0.39  % CPUTime  : 
% 0.22/0.52  Running first-order theorem proving
% 0.22/0.52  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.81/1.29  % SZS status Started for theBenchmark.p
% 0.81/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 0.81/1.29  
% 0.81/1.29  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.81/1.29  
% 0.81/1.29  ------  iProver source info
% 0.81/1.29  
% 0.81/1.29  git: date: 2023-05-31 18:12:56 +0000
% 0.81/1.29  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.81/1.29  git: non_committed_changes: false
% 0.81/1.29  git: last_make_outside_of_git: false
% 0.81/1.29  
% 0.81/1.29  ------ Parsing...successful
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  ------ 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 
% 0.81/1.29  
% 0.81/1.29  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.81/1.29  
% 0.81/1.29  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.81/1.29  ------ Proving...
% 0.81/1.29  ------ Problem Properties 
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  clauses                                 132
% 0.81/1.29  conjectures                             3
% 0.81/1.29  EPR                                     18
% 0.81/1.29  Horn                                    112
% 0.81/1.29  unary                                   44
% 0.81/1.29  binary                                  56
% 0.81/1.29  lits                                    259
% 0.81/1.29  lits eq                                 75
% 0.81/1.29  fd_pure                                 0
% 0.81/1.29  fd_pseudo                               0
% 0.81/1.29  fd_cond                                 5
% 0.81/1.29  fd_pseudo_cond                          13
% 0.81/1.29  AC symbols                              0
% 0.81/1.29  
% 0.81/1.29  ------ Schedule dynamic 5 is on 
% 0.81/1.29  
% 0.81/1.29  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  ------ 
% 0.81/1.29  Current options:
% 0.81/1.29  ------ 
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  ------ Proving...
% 0.81/1.29  
% 0.81/1.29  
% 0.81/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 0.81/1.29  
% 0.81/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.81/1.29  
% 0.81/1.29  
%------------------------------------------------------------------------------