TSTP Solution File: SET130-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET130-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 15:06:43 EDT 2023

% Result   : Unsatisfiable 13.68s 2.64s
% Output   : CNFRefutation 13.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (   8 unt;   4 nHn;   9 RR)
%            Number of literals    :   33 (   3 equ;  16 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   :   27 (   5 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_triple1_1) ).

cnf(c_51,negated_conjecture,
    ~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple1_2) ).

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

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

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

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

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

cnf(c_77,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/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_3600,plain,
    ( ~ member(X0,singleton(X1))
    | ~ member(X0,universal_class)
    | member(X0,set_builder(X1,X2)) ),
    inference(superposition,[status(thm)],[c_3578,c_75]) ).

cnf(c_3616,plain,
    ( ~ member(u,singleton(u))
    | ~ member(u,universal_class) ),
    inference(superposition,[status(thm)],[c_3600,c_51]) ).

cnf(c_3620,plain,
    ~ member(u,singleton(u)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3616,c_50]) ).

cnf(c_3629,plain,
    ~ member(u,universal_class),
    inference(superposition,[status(thm)],[c_3432,c_3620]) ).

cnf(c_3630,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3629,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET130-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n008.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sat Aug 26 15:34:47 EDT 2023
% 0.17/0.34  % 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
% 13.68/2.64  % SZS status Started for theBenchmark.p
% 13.68/2.64  % SZS status Unsatisfiable for theBenchmark.p
% 13.68/2.64  
% 13.68/2.64  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.68/2.64  
% 13.68/2.64  ------  iProver source info
% 13.68/2.64  
% 13.68/2.64  git: date: 2023-05-31 18:12:56 +0000
% 13.68/2.64  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.68/2.64  git: non_committed_changes: false
% 13.68/2.64  git: last_make_outside_of_git: false
% 13.68/2.64  
% 13.68/2.64  ------ Parsing...successful
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  ------ 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 
% 13.68/2.64  
% 13.68/2.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 13.68/2.64  
% 13.68/2.64  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 13.68/2.64  ------ Proving...
% 13.68/2.64  ------ Problem Properties 
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  clauses                                 86
% 13.68/2.64  conjectures                             2
% 13.68/2.64  EPR                                     13
% 13.68/2.64  Horn                                    78
% 13.68/2.64  unary                                   34
% 13.68/2.64  binary                                  32
% 13.68/2.64  lits                                    164
% 13.68/2.64  lits eq                                 37
% 13.68/2.64  fd_pure                                 0
% 13.68/2.64  fd_pseudo                               0
% 13.68/2.64  fd_cond                                 3
% 13.68/2.64  fd_pseudo_cond                          3
% 13.68/2.64  AC symbols                              0
% 13.68/2.64  
% 13.68/2.64  ------ Input Options Time Limit: Unbounded
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  ------ 
% 13.68/2.64  Current options:
% 13.68/2.64  ------ 
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  ------ Proving...
% 13.68/2.64  
% 13.68/2.64  
% 13.68/2.64  % SZS status Unsatisfiable for theBenchmark.p
% 13.68/2.64  
% 13.68/2.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.68/2.64  
% 13.68/2.64  
%------------------------------------------------------------------------------