TSTP Solution File: SET138-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET138-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 03:00:02 EDT 2024

% Result   : Unsatisfiable 17.65s 3.15s
% Output   : CNFRefutation 17.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (   9 unt;   4 nHn;  10 RR)
%            Number of literals    :   31 (   3 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    union(singleton(X0),X1) = set_builder(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).

cnf(c_50,negated_conjecture,
    member(u,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge2_1) ).

cnf(c_53,negated_conjecture,
    ~ member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge2_4) ).

cnf(c_63,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(c_65,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_74,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_77,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_78,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_79,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_3453,plain,
    ( ~ member(X0,universal_class)
    | member(X0,singleton(X0)) ),
    inference(superposition,[status(thm)],[c_65,c_63]) ).

cnf(c_3533,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),complement(X2)))
    | member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_79,c_78]) ).

cnf(c_3543,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,X2))
    | member(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_3533,c_74]) ).

cnf(c_3598,plain,
    ( ~ member(X0,universal_class)
    | member(X0,set_builder(X1,X2))
    | member(X0,complement(singleton(X1))) ),
    inference(superposition,[status(thm)],[c_49,c_3543]) ).

cnf(c_3710,plain,
    ( ~ member(u,universal_class)
    | member(u,complement(singleton(u))) ),
    inference(superposition,[status(thm)],[c_3598,c_53]) ).

cnf(c_3713,plain,
    member(u,complement(singleton(u))),
    inference(forward_subsumption_resolution,[status(thm)],[c_3710,c_50]) ).

cnf(c_3715,plain,
    ~ member(u,singleton(u)),
    inference(superposition,[status(thm)],[c_3713,c_77]) ).

cnf(c_3716,plain,
    ~ member(u,universal_class),
    inference(superposition,[status(thm)],[c_3453,c_3715]) ).

cnf(c_3717,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3716,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET138-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n028.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 20:56:48 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 17.65/3.15  % SZS status Started for theBenchmark.p
% 17.65/3.15  % SZS status Unsatisfiable for theBenchmark.p
% 17.65/3.15  
% 17.65/3.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.65/3.15  
% 17.65/3.15  ------  iProver source info
% 17.65/3.15  
% 17.65/3.15  git: date: 2024-05-02 19:28:25 +0000
% 17.65/3.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.65/3.15  git: non_committed_changes: false
% 17.65/3.15  
% 17.65/3.15  ------ Parsing...successful
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  ------ 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 
% 17.65/3.15  
% 17.65/3.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.65/3.15  
% 17.65/3.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.65/3.15  ------ Proving...
% 17.65/3.15  ------ Problem Properties 
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  clauses                                 88
% 17.65/3.15  conjectures                             4
% 17.65/3.15  EPR                                     15
% 17.65/3.15  Horn                                    80
% 17.65/3.15  unary                                   36
% 17.65/3.15  binary                                  32
% 17.65/3.15  lits                                    166
% 17.65/3.15  lits eq                                 37
% 17.65/3.15  fd_pure                                 0
% 17.65/3.15  fd_pseudo                               0
% 17.65/3.15  fd_cond                                 3
% 17.65/3.15  fd_pseudo_cond                          3
% 17.65/3.15  AC symbols                              0
% 17.65/3.15  
% 17.65/3.15  ------ Input Options Time Limit: Unbounded
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  ------ 
% 17.65/3.15  Current options:
% 17.65/3.15  ------ 
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  ------ Proving...
% 17.65/3.15  
% 17.65/3.15  
% 17.65/3.15  % SZS status Unsatisfiable for theBenchmark.p
% 17.65/3.15  
% 17.65/3.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.65/3.15  
% 17.65/3.15  
%------------------------------------------------------------------------------