TSTP Solution File: SET124-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET124-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 03:00:00 EDT 2024

% Result   : Unsatisfiable 17.62s 3.21s
% Output   : CNFRefutation 17.62s
% 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    :    9 (   9 usr;   3 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/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).

cnf(c_50,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn2_1) ).

cnf(c_51,negated_conjecture,
    ~ member(x,set_builder(x,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn2_2) ).

cnf(c_61,plain,
    ( ~ member(X0,universal_class)
    | member(X0,unordered_pair(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(c_63,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_72,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_75,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_76,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_77,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_3432,plain,
    ( ~ member(X0,universal_class)
    | member(X0,singleton(X0)) ),
    inference(superposition,[status(thm)],[c_63,c_61]) ).

cnf(c_3547,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),complement(X2)))
    | member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_77,c_76]) ).

cnf(c_3557,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,X2))
    | member(X0,complement(X1)) ),
    inference(superposition,[status(thm)],[c_3547,c_72]) ).

cnf(c_3578,plain,
    ( ~ member(X0,universal_class)
    | member(X0,set_builder(X1,X2))
    | member(X0,complement(singleton(X1))) ),
    inference(superposition,[status(thm)],[c_49,c_3557]) ).

cnf(c_3598,plain,
    ( ~ member(x,universal_class)
    | member(x,complement(singleton(x))) ),
    inference(superposition,[status(thm)],[c_3578,c_51]) ).

cnf(c_3601,plain,
    member(x,complement(singleton(x))),
    inference(forward_subsumption_resolution,[status(thm)],[c_3598,c_50]) ).

cnf(c_3611,plain,
    ~ member(x,singleton(x)),
    inference(superposition,[status(thm)],[c_3601,c_75]) ).

cnf(c_3612,plain,
    ~ member(x,universal_class),
    inference(superposition,[status(thm)],[c_3432,c_3611]) ).

cnf(c_3613,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3612,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET124-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n027.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 : Thu May  2 20:43:35 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 17.62/3.21  % SZS status Started for theBenchmark.p
% 17.62/3.21  % SZS status Unsatisfiable for theBenchmark.p
% 17.62/3.21  
% 17.62/3.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.62/3.21  
% 17.62/3.21  ------  iProver source info
% 17.62/3.21  
% 17.62/3.21  git: date: 2024-05-02 19:28:25 +0000
% 17.62/3.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.62/3.21  git: non_committed_changes: false
% 17.62/3.21  
% 17.62/3.21  ------ Parsing...successful
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  ------ 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 
% 17.62/3.21  
% 17.62/3.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.62/3.21  
% 17.62/3.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.62/3.21  ------ Proving...
% 17.62/3.21  ------ Problem Properties 
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  clauses                                 86
% 17.62/3.21  conjectures                             2
% 17.62/3.21  EPR                                     13
% 17.62/3.21  Horn                                    78
% 17.62/3.21  unary                                   34
% 17.62/3.21  binary                                  32
% 17.62/3.21  lits                                    164
% 17.62/3.21  lits eq                                 37
% 17.62/3.21  fd_pure                                 0
% 17.62/3.21  fd_pseudo                               0
% 17.62/3.21  fd_cond                                 3
% 17.62/3.21  fd_pseudo_cond                          3
% 17.62/3.21  AC symbols                              0
% 17.62/3.21  
% 17.62/3.21  ------ Input Options Time Limit: Unbounded
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  ------ 
% 17.62/3.21  Current options:
% 17.62/3.21  ------ 
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  ------ Proving...
% 17.62/3.21  
% 17.62/3.21  
% 17.62/3.21  % SZS status Unsatisfiable for theBenchmark.p
% 17.62/3.21  
% 17.62/3.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.62/3.21  
% 17.62/3.21  
%------------------------------------------------------------------------------