TSTP Solution File: SET097-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET097-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 : Fri May  3 02:59:52 EDT 2024

% Result   : Unsatisfiable 39.66s 6.27s
% Output   : CNFRefutation 39.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   38 (  12 unt;  13 nHn;  30 RR)
%            Number of literals    :   73 (  26 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_60,plain,
    ~ member(X0,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).

cnf(c_62,plain,
    ( ~ subclass(X0,null_class)
    | X0 = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).

cnf(c_63,plain,
    ( X0 = null_class
    | member(not_subclass_element(X0,null_class),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).

cnf(c_82,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

cnf(c_97,plain,
    ( ~ subclass(X0,singleton(X1))
    | singleton(X1) = X0
    | X0 = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_subsets_of_singleton) ).

cnf(c_98,negated_conjecture,
    ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_1) ).

cnf(c_99,negated_conjecture,
    singleton(not_subclass_element(x,null_class)) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_2) ).

cnf(c_100,negated_conjecture,
    null_class != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_3) ).

cnf(c_101,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_102,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_103,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_104,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_123,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

cnf(c_125,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_166,plain,
    ( X0 = null_class
    | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c_10243,plain,
    subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),
    inference(superposition,[status(thm)],[c_102,c_98]) ).

cnf(c_10252,plain,
    intersection(complement(singleton(not_subclass_element(x,null_class))),x) = null_class,
    inference(superposition,[status(thm)],[c_10243,c_62]) ).

cnf(c_10573,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_104,c_101]) ).

cnf(c_10949,plain,
    ( ~ member(X0,complement(singleton(not_subclass_element(x,null_class))))
    | ~ member(X0,x)
    | member(X0,null_class) ),
    inference(superposition,[status(thm)],[c_10252,c_123]) ).

cnf(c_10961,plain,
    ( ~ member(X0,complement(singleton(not_subclass_element(x,null_class))))
    | ~ member(X0,x) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10949,c_60]) ).

cnf(c_10993,plain,
    ( ~ member(X0,universal_class)
    | ~ member(X0,x)
    | member(X0,singleton(not_subclass_element(x,null_class))) ),
    inference(superposition,[status(thm)],[c_125,c_10961]) ).

cnf(c_11000,plain,
    ( ~ member(X0,x)
    | member(X0,singleton(not_subclass_element(x,null_class))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10993,c_10573]) ).

cnf(c_11003,plain,
    ( ~ member(X0,x)
    | not_subclass_element(x,null_class) = X0 ),
    inference(superposition,[status(thm)],[c_11000,c_82]) ).

cnf(c_11017,plain,
    ( not_subclass_element(x,null_class) = regular(x)
    | null_class = x ),
    inference(superposition,[status(thm)],[c_166,c_11003]) ).

cnf(c_11018,plain,
    not_subclass_element(x,null_class) = regular(x),
    inference(forward_subsumption_resolution,[status(thm)],[c_11017,c_100]) ).

cnf(c_11020,plain,
    ( ~ member(X0,x)
    | regular(x) = X0 ),
    inference(demodulation,[status(thm)],[c_11003,c_11018]) ).

cnf(c_11024,plain,
    ( ~ member(X0,x)
    | member(X0,singleton(regular(x))) ),
    inference(demodulation,[status(thm)],[c_11000,c_11018]) ).

cnf(c_11027,plain,
    singleton(regular(x)) != x,
    inference(demodulation,[status(thm)],[c_99,c_11018]) ).

cnf(c_11036,plain,
    ( null_class = x
    | member(regular(x),x) ),
    inference(superposition,[status(thm)],[c_11018,c_63]) ).

cnf(c_11037,plain,
    member(regular(x),x),
    inference(forward_subsumption_resolution,[status(thm)],[c_11036,c_100]) ).

cnf(c_11342,plain,
    ( not_subclass_element(x,X0) = regular(x)
    | subclass(x,X0) ),
    inference(superposition,[status(thm)],[c_102,c_11020]) ).

cnf(c_12507,plain,
    ( not_subclass_element(x,singleton(X0)) = regular(x)
    | singleton(X0) = x
    | null_class = x ),
    inference(superposition,[status(thm)],[c_11342,c_97]) ).

cnf(c_12508,plain,
    ( not_subclass_element(x,singleton(X0)) = regular(x)
    | singleton(X0) = x ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12507,c_100]) ).

cnf(c_12533,plain,
    ( ~ member(regular(x),singleton(X0))
    | singleton(X0) = x
    | subclass(x,singleton(X0)) ),
    inference(superposition,[status(thm)],[c_12508,c_103]) ).

cnf(c_12579,plain,
    ( ~ member(regular(x),x)
    | singleton(regular(x)) = x
    | subclass(x,singleton(regular(x))) ),
    inference(superposition,[status(thm)],[c_11024,c_12533]) ).

cnf(c_12582,plain,
    subclass(x,singleton(regular(x))),
    inference(forward_subsumption_resolution,[status(thm)],[c_12579,c_11027,c_11037]) ).

cnf(c_13442,plain,
    ( singleton(regular(x)) = x
    | null_class = x ),
    inference(superposition,[status(thm)],[c_12582,c_97]) ).

cnf(c_13443,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13442,c_100,c_11027]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET097-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 20:36:18 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 39.66/6.27  % SZS status Started for theBenchmark.p
% 39.66/6.27  % SZS status Unsatisfiable for theBenchmark.p
% 39.66/6.27  
% 39.66/6.27  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.66/6.27  
% 39.66/6.27  ------  iProver source info
% 39.66/6.27  
% 39.66/6.27  git: date: 2024-05-02 19:28:25 +0000
% 39.66/6.27  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.66/6.27  git: non_committed_changes: false
% 39.66/6.27  
% 39.66/6.27  ------ Parsing...successful
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  ------ 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 
% 39.66/6.27  
% 39.66/6.27  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 39.66/6.27  
% 39.66/6.27  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 39.66/6.27  ------ Proving...
% 39.66/6.27  ------ Problem Properties 
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  clauses                                 133
% 39.66/6.27  conjectures                             3
% 39.66/6.27  EPR                                     18
% 39.66/6.27  Horn                                    112
% 39.66/6.27  unary                                   44
% 39.66/6.27  binary                                  56
% 39.66/6.27  lits                                    262
% 39.66/6.27  lits eq                                 77
% 39.66/6.27  fd_pure                                 0
% 39.66/6.27  fd_pseudo                               0
% 39.66/6.27  fd_cond                                 5
% 39.66/6.27  fd_pseudo_cond                          14
% 39.66/6.27  AC symbols                              0
% 39.66/6.27  
% 39.66/6.27  ------ Input Options Time Limit: Unbounded
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  ------ 
% 39.66/6.27  Current options:
% 39.66/6.27  ------ 
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  ------ Proving...
% 39.66/6.27  
% 39.66/6.27  
% 39.66/6.27  % SZS status Unsatisfiable for theBenchmark.p
% 39.66/6.27  
% 39.66/6.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.66/6.27  
% 39.66/6.27  
%------------------------------------------------------------------------------