TSTP Solution File: SET068-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET068-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 02:59:41 EDT 2024

% Result   : Unsatisfiable 4.28s 1.13s
% Output   : CNFRefutation 4.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (  10 unt;   5 nHn;  14 RR)
%            Number of literals    :   34 (   7 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;   3 con; 0-2 aty)
%            Number of variables   :   24 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_65,plain,
    unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).

cnf(c_66,negated_conjecture,
    ~ subclass(singleton(y),unordered_pair(x,y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1) ).

cnf(c_67,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_68,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_69,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_70,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_74,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_75,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c_78,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_1044,plain,
    ~ subclass(singleton(y),unordered_pair(y,x)),
    inference(demodulation,[status(thm)],[c_66,c_65]) ).

cnf(c_4403,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_70,c_67]) ).

cnf(c_4480,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_68,c_4403]) ).

cnf(c_5894,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_78,c_74]) ).

cnf(c_6057,plain,
    ( not_subclass_element(singleton(X0),X1) = X0
    | subclass(singleton(X0),X1) ),
    inference(superposition,[status(thm)],[c_68,c_5894]) ).

cnf(c_7369,plain,
    not_subclass_element(singleton(y),unordered_pair(y,x)) = y,
    inference(superposition,[status(thm)],[c_6057,c_1044]) ).

cnf(c_7412,plain,
    ( subclass(singleton(y),unordered_pair(y,x))
    | member(y,universal_class) ),
    inference(superposition,[status(thm)],[c_7369,c_4480]) ).

cnf(c_7413,plain,
    ( ~ member(y,unordered_pair(y,x))
    | subclass(singleton(y),unordered_pair(y,x)) ),
    inference(superposition,[status(thm)],[c_7369,c_69]) ).

cnf(c_7416,plain,
    member(y,universal_class),
    inference(forward_subsumption_resolution,[status(thm)],[c_7412,c_1044]) ).

cnf(c_7418,plain,
    ~ member(y,unordered_pair(y,x)),
    inference(forward_subsumption_resolution,[status(thm)],[c_7413,c_1044]) ).

cnf(c_7422,plain,
    ~ member(y,universal_class),
    inference(superposition,[status(thm)],[c_75,c_7418]) ).

cnf(c_7423,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7422,c_7416]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET068-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n024.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 20:24:50 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 4.28/1.13  % SZS status Started for theBenchmark.p
% 4.28/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 4.28/1.13  
% 4.28/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.28/1.13  
% 4.28/1.13  ------  iProver source info
% 4.28/1.13  
% 4.28/1.13  git: date: 2024-05-02 19:28:25 +0000
% 4.28/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.28/1.13  git: non_committed_changes: false
% 4.28/1.13  
% 4.28/1.13  ------ Parsing...successful
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  ------ Preprocessing... sup_sim: 3  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 
% 4.28/1.13  
% 4.28/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.28/1.13  
% 4.28/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.28/1.13  ------ Proving...
% 4.28/1.13  ------ Problem Properties 
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  clauses                                 99
% 4.28/1.13  conjectures                             0
% 4.28/1.13  EPR                                     17
% 4.28/1.13  Horn                                    88
% 4.28/1.13  unary                                   37
% 4.28/1.13  binary                                  38
% 4.28/1.13  lits                                    191
% 4.28/1.13  lits eq                                 42
% 4.28/1.13  fd_pure                                 0
% 4.28/1.13  fd_pseudo                               0
% 4.28/1.13  fd_cond                                 5
% 4.28/1.13  fd_pseudo_cond                          6
% 4.28/1.13  AC symbols                              0
% 4.28/1.13  
% 4.28/1.13  ------ Schedule dynamic 5 is on 
% 4.28/1.13  
% 4.28/1.13  ------ no conjectures: strip conj schedule 
% 4.28/1.13  
% 4.28/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  ------ 
% 4.28/1.13  Current options:
% 4.28/1.13  ------ 
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  ------ Proving...
% 4.28/1.13  
% 4.28/1.13  
% 4.28/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 4.28/1.13  
% 4.28/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/1.13  
% 4.28/1.13  
%------------------------------------------------------------------------------