TSTP Solution File: SET507-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET507-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 03:00:42 EDT 2024

% Result   : Unsatisfiable 3.85s 1.13s
% Output   : CNFRefutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (   9 unt;   7 nHn;  14 RR)
%            Number of literals    :   41 (   9 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   29 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    subclass(universal_class,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_universal_class_not_subclass_of_null_class_1) ).

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

cnf(c_72,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_73,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_74,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_77,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(c_81,plain,
    member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).

cnf(c_94,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_136,plain,
    ( X0 = null_class
    | member(regular(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c_3029,negated_conjecture,
    subclass(universal_class,null_class),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_4343,plain,
    ( ~ member(X0,universal_class)
    | member(X0,null_class) ),
    inference(superposition,[status(thm)],[c_3029,c_71]) ).

cnf(c_4348,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_74,c_71]) ).

cnf(c_4462,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_72,c_4348]) ).

cnf(c_4469,plain,
    ( X0 = null_class
    | member(regular(X0),universal_class) ),
    inference(superposition,[status(thm)],[c_136,c_4348]) ).

cnf(c_4569,plain,
    ( member(not_subclass_element(X0,X1),null_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_4462,c_4343]) ).

cnf(c_4594,plain,
    subclass(X0,null_class),
    inference(superposition,[status(thm)],[c_4569,c_73]) ).

cnf(c_4847,plain,
    ( ~ subclass(null_class,X0)
    | X0 = null_class ),
    inference(superposition,[status(thm)],[c_4594,c_77]) ).

cnf(c_4935,plain,
    universal_class = null_class,
    inference(superposition,[status(thm)],[c_74,c_4847]) ).

cnf(c_4952,plain,
    ( X0 = universal_class
    | member(regular(X0),universal_class) ),
    inference(demodulation,[status(thm)],[c_4469,c_4935]) ).

cnf(c_4965,plain,
    ( X0 = universal_class
    | member(regular(X0),X0) ),
    inference(demodulation,[status(thm)],[c_136,c_4935]) ).

cnf(c_5115,plain,
    ( ~ member(regular(complement(X0)),X0)
    | complement(X0) = universal_class ),
    inference(superposition,[status(thm)],[c_4965,c_94]) ).

cnf(c_5301,plain,
    complement(universal_class) = universal_class,
    inference(superposition,[status(thm)],[c_4952,c_5115]) ).

cnf(c_5346,plain,
    ~ member(X0,universal_class),
    inference(superposition,[status(thm)],[c_5301,c_94]) ).

cnf(c_5347,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_81,c_5346]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET507-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n006.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:21:19 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.85/1.13  % SZS status Started for theBenchmark.p
% 3.85/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.13  
% 3.85/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.85/1.13  
% 3.85/1.13  ------  iProver source info
% 3.85/1.13  
% 3.85/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.85/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.85/1.13  git: non_committed_changes: false
% 3.85/1.13  
% 3.85/1.13  ------ Parsing...successful
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 3.85/1.13  
% 3.85/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.85/1.13  
% 3.85/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.85/1.13  ------ Proving...
% 3.85/1.13  ------ Problem Properties 
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  clauses                                 101
% 3.85/1.13  conjectures                             1
% 3.85/1.13  EPR                                     13
% 3.85/1.13  Horn                                    93
% 3.85/1.13  unary                                   40
% 3.85/1.13  binary                                  40
% 3.85/1.13  lits                                    189
% 3.85/1.13  lits eq                                 44
% 3.85/1.13  fd_pure                                 0
% 3.85/1.13  fd_pseudo                               0
% 3.85/1.13  fd_cond                                 3
% 3.85/1.13  fd_pseudo_cond                          7
% 3.85/1.13  AC symbols                              0
% 3.85/1.13  
% 3.85/1.13  ------ Schedule dynamic 5 is on 
% 3.85/1.13  
% 3.85/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  ------ 
% 3.85/1.13  Current options:
% 3.85/1.13  ------ 
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  ------ Proving...
% 3.85/1.13  
% 3.85/1.13  
% 3.85/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.13  
% 3.85/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.13  
% 3.85/1.13  
%------------------------------------------------------------------------------