TSTP Solution File: SET166-6 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET166-6 : 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 15:06:55 EDT 2023

% Result   : Unsatisfiable 3.63s 1.14s
% Output   : CNFRefutation 3.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (   7 unt;   4 nHn;  14 RR)
%            Number of literals    :   36 (   1 equ;  20 neg)
%            Maximal clause size   :    3 (   2 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   :   21 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(x,union(y,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union1_1) ).

cnf(c_50,negated_conjecture,
    ~ member(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union1_2) ).

cnf(c_51,negated_conjecture,
    ~ member(x,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union1_3) ).

cnf(c_73,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_76,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_95,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

cnf(c_96,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_97,plain,
    ( ~ member(X0,universal_class)
    | member(X0,complement(X1))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

cnf(c_98,plain,
    complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).

cnf(c_4252,plain,
    ( ~ member(X0,intersection(complement(X1),complement(X2)))
    | ~ member(X0,union(X1,X2)) ),
    inference(superposition,[status(thm)],[c_98,c_96]) ).

cnf(c_4429,plain,
    ( ~ subclass(union(y,z),X0)
    | member(x,X0) ),
    inference(superposition,[status(thm)],[c_49,c_73]) ).

cnf(c_4508,plain,
    member(x,universal_class),
    inference(superposition,[status(thm)],[c_76,c_4429]) ).

cnf(c_5261,plain,
    ( ~ member(X0,union(X1,X2))
    | ~ member(X0,complement(X1))
    | ~ member(X0,complement(X2)) ),
    inference(superposition,[status(thm)],[c_95,c_4252]) ).

cnf(c_6820,plain,
    ( ~ member(x,universal_class)
    | member(x,complement(X0))
    | member(x,X0) ),
    inference(instantiation,[status(thm)],[c_97]) ).

cnf(c_10862,plain,
    ( ~ member(x,universal_class)
    | member(x,complement(y))
    | member(x,y) ),
    inference(instantiation,[status(thm)],[c_6820]) ).

cnf(c_10863,plain,
    ( ~ member(x,universal_class)
    | member(x,complement(z))
    | member(x,z) ),
    inference(instantiation,[status(thm)],[c_6820]) ).

cnf(c_14013,plain,
    ( ~ member(x,complement(y))
    | ~ member(x,complement(z)) ),
    inference(superposition,[status(thm)],[c_49,c_5261]) ).

cnf(c_14090,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14013,c_10863,c_10862,c_4508,c_50,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 16:01:18 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.63/1.14  % SZS status Started for theBenchmark.p
% 3.63/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.14  
% 3.63/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.63/1.14  
% 3.63/1.14  ------  iProver source info
% 3.63/1.14  
% 3.63/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.63/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.63/1.14  git: non_committed_changes: false
% 3.63/1.14  git: last_make_outside_of_git: false
% 3.63/1.14  
% 3.63/1.14  ------ Parsing...successful
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  ------ 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 
% 3.63/1.14  
% 3.63/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.63/1.14  
% 3.63/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.63/1.14  ------ Proving...
% 3.63/1.14  ------ Problem Properties 
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  clauses                                 103
% 3.63/1.14  conjectures                             3
% 3.63/1.14  EPR                                     14
% 3.63/1.14  Horn                                    95
% 3.63/1.14  unary                                   42
% 3.63/1.14  binary                                  40
% 3.63/1.14  lits                                    191
% 3.63/1.14  lits eq                                 44
% 3.63/1.14  fd_pure                                 0
% 3.63/1.14  fd_pseudo                               0
% 3.63/1.14  fd_cond                                 3
% 3.63/1.14  fd_pseudo_cond                          7
% 3.63/1.14  AC symbols                              0
% 3.63/1.14  
% 3.63/1.14  ------ Schedule dynamic 5 is on 
% 3.63/1.14  
% 3.63/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  ------ 
% 3.63/1.14  Current options:
% 3.63/1.14  ------ 
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  ------ Proving...
% 3.63/1.14  
% 3.63/1.14  
% 3.63/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.14  
% 3.63/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.63/1.14  
% 3.63/1.14  
%------------------------------------------------------------------------------