TSTP Solution File: SET067-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET067-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 15:06:08 EDT 2023

% Result   : Unsatisfiable 3.58s 1.12s
% Output   : CNFRefutation 3.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   8 unt;   5 nHn;  13 RR)
%            Number of literals    :   32 (   6 equ;  11 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;   3 con; 0-2 aty)
%            Number of variables   :   22 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ subclass(singleton(x),unordered_pair(x,y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).

cnf(c_50,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_51,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_52,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_53,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_57,plain,
    ( ~ member(X0,unordered_pair(X1,X2))
    | X0 = X1
    | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(c_58,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c_61,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_3843,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_53,c_50]) ).

cnf(c_3891,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_51,c_3843]) ).

cnf(c_4652,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_61,c_57]) ).

cnf(c_4725,plain,
    ( not_subclass_element(singleton(X0),X1) = X0
    | subclass(singleton(X0),X1) ),
    inference(superposition,[status(thm)],[c_51,c_4652]) ).

cnf(c_5509,plain,
    not_subclass_element(singleton(x),unordered_pair(x,y)) = x,
    inference(superposition,[status(thm)],[c_4725,c_49]) ).

cnf(c_5527,plain,
    ( subclass(singleton(x),unordered_pair(x,y))
    | member(x,universal_class) ),
    inference(superposition,[status(thm)],[c_5509,c_3891]) ).

cnf(c_5528,plain,
    ( ~ member(x,unordered_pair(x,y))
    | subclass(singleton(x),unordered_pair(x,y)) ),
    inference(superposition,[status(thm)],[c_5509,c_52]) ).

cnf(c_5530,plain,
    member(x,universal_class),
    inference(forward_subsumption_resolution,[status(thm)],[c_5527,c_49]) ).

cnf(c_5532,plain,
    ~ member(x,unordered_pair(x,y)),
    inference(forward_subsumption_resolution,[status(thm)],[c_5528,c_49]) ).

cnf(c_5536,plain,
    ~ member(x,universal_class),
    inference(superposition,[status(thm)],[c_58,c_5532]) ).

cnf(c_5537,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5536,c_5530]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET067-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 11:59:58 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.58/1.12  % SZS status Started for theBenchmark.p
% 3.58/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.12  
% 3.58/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.58/1.12  
% 3.58/1.12  ------  iProver source info
% 3.58/1.12  
% 3.58/1.12  git: date: 2023-05-31 18:12:56 +0000
% 3.58/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.58/1.12  git: non_committed_changes: false
% 3.58/1.12  git: last_make_outside_of_git: false
% 3.58/1.12  
% 3.58/1.12  ------ Parsing...successful
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  ------ 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 
% 3.58/1.12  
% 3.58/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.58/1.12  
% 3.58/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.58/1.12  ------ Proving...
% 3.58/1.12  ------ Problem Properties 
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  clauses                                 84
% 3.58/1.12  conjectures                             1
% 3.58/1.12  EPR                                     12
% 3.58/1.12  Horn                                    76
% 3.58/1.12  unary                                   32
% 3.58/1.12  binary                                  32
% 3.58/1.12  lits                                    162
% 3.58/1.12  lits eq                                 36
% 3.58/1.12  fd_pure                                 0
% 3.58/1.12  fd_pseudo                               0
% 3.58/1.12  fd_cond                                 3
% 3.58/1.12  fd_pseudo_cond                          3
% 3.58/1.12  AC symbols                              0
% 3.58/1.12  
% 3.58/1.12  ------ Schedule dynamic 5 is on 
% 3.58/1.12  
% 3.58/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  ------ 
% 3.58/1.12  Current options:
% 3.58/1.12  ------ 
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  ------ Proving...
% 3.58/1.12  
% 3.58/1.12  
% 3.58/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.12  
% 3.58/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.12  
% 3.58/1.12  
%------------------------------------------------------------------------------