TSTP Solution File: SET168-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET168-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 15:06:56 EDT 2023

% Result   : Unsatisfiable 0.51s 1.72s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   7 unt;   3 nHn;  11 RR)
%            Number of literals    :   29 (   1 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(x,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union3_1) ).

cnf(c_50,negated_conjecture,
    ~ member(x,union(y,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union3_2) ).

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

cnf(c_75,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_93,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(c_95,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_96,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_97,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_4383,plain,
    ( ~ subclass(z,X0)
    | member(x,X0) ),
    inference(superposition,[status(thm)],[c_49,c_72]) ).

cnf(c_4462,plain,
    member(x,universal_class),
    inference(superposition,[status(thm)],[c_75,c_4383]) ).

cnf(c_4586,plain,
    ( ~ member(X0,universal_class)
    | member(X0,intersection(complement(X1),complement(X2)))
    | member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_97,c_96]) ).

cnf(c_4910,plain,
    ( ~ member(x,complement(z))
    | ~ member(x,z) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_7136,plain,
    ( ~ member(X0,universal_class)
    | member(X0,union(X1,X2))
    | member(X0,complement(X2)) ),
    inference(superposition,[status(thm)],[c_4586,c_93]) ).

cnf(c_20647,plain,
    ( ~ member(x,universal_class)
    | member(x,complement(z)) ),
    inference(superposition,[status(thm)],[c_7136,c_50]) ).

cnf(c_20656,plain,
    member(x,complement(z)),
    inference(forward_subsumption_resolution,[status(thm)],[c_20647,c_4462]) ).

cnf(c_20692,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20656,c_4910,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16  % Problem  : SET168-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.15/0.17  % Command  : run_iprover %s %d THM
% 0.16/0.38  % Computer : n013.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Sat Aug 26 08:54:17 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.51/1.72  % SZS status Started for theBenchmark.p
% 0.51/1.72  % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.72  
% 0.51/1.72  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.51/1.72  
% 0.51/1.72  ------  iProver source info
% 0.51/1.72  
% 0.51/1.72  git: date: 2023-05-31 18:12:56 +0000
% 0.51/1.72  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.51/1.72  git: non_committed_changes: false
% 0.51/1.72  git: last_make_outside_of_git: false
% 0.51/1.72  
% 0.51/1.72  ------ Parsing...successful
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 0.51/1.72  
% 0.51/1.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.51/1.72  
% 0.51/1.72  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.51/1.72  ------ Proving...
% 0.51/1.72  ------ Problem Properties 
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  clauses                                 102
% 0.51/1.72  conjectures                             2
% 0.51/1.72  EPR                                     13
% 0.51/1.72  Horn                                    94
% 0.51/1.72  unary                                   41
% 0.51/1.72  binary                                  40
% 0.51/1.72  lits                                    190
% 0.51/1.72  lits eq                                 44
% 0.51/1.72  fd_pure                                 0
% 0.51/1.72  fd_pseudo                               0
% 0.51/1.72  fd_cond                                 3
% 0.51/1.72  fd_pseudo_cond                          7
% 0.51/1.72  AC symbols                              0
% 0.51/1.72  
% 0.51/1.72  ------ Schedule dynamic 5 is on 
% 0.51/1.72  
% 0.51/1.72  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  ------ 
% 0.51/1.72  Current options:
% 0.51/1.72  ------ 
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  ------ Proving...
% 0.51/1.72  
% 0.51/1.72  
% 0.51/1.72  % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.72  
% 0.51/1.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.72  
% 0.51/1.72  
%------------------------------------------------------------------------------