TSTP Solution File: SET046-5 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET046-5 : TPTP v8.2.0. Released v1.0.0.
% 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 : Mon Jun 24 14:32:39 EDT 2024

% Result   : Unsatisfiable 1.49s 1.15s
% Output   : CNFRefutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   10 (   2 unt;   4 nHn;   8 RR)
%            Number of literals    :   21 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ element(X0,X1)
    | ~ element(X1,X0)
    | ~ element(X0,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(c_50,negated_conjecture,
    ( element(X0,f(X0))
    | element(X0,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(c_51,negated_conjecture,
    ( element(f(X0),X0)
    | element(X0,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(c_52,plain,
    ( element(f(a),a)
    | element(a,a) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_53,plain,
    ( element(a,f(a))
    | element(a,a) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_54,plain,
    ~ element(a,a),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_71,negated_conjecture,
    ( ~ element(X0,X1)
    | ~ element(X1,X0)
    | ~ element(X0,a) ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_72,plain,
    ( ~ element(f(a),X0)
    | ~ element(X0,f(a))
    | ~ element(f(a),a) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_74,plain,
    ( ~ element(f(a),a)
    | ~ element(a,f(a)) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_75,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_74,c_54,c_53,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET046-5 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun Jun 23 15:57:24 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 1.49/1.15  % SZS status Started for theBenchmark.p
% 1.49/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.49/1.15  
% 1.49/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.49/1.15  
% 1.49/1.15  ------  iProver source info
% 1.49/1.15  
% 1.49/1.15  git: date: 2024-06-12 09:56:46 +0000
% 1.49/1.15  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.49/1.15  git: non_committed_changes: false
% 1.49/1.15  
% 1.49/1.15  ------ Parsing...successful
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.49/1.15  
% 1.49/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.49/1.15  ------ Proving...
% 1.49/1.15  ------ Problem Properties 
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  clauses                                 3
% 1.49/1.15  conjectures                             3
% 1.49/1.15  EPR                                     1
% 1.49/1.15  Horn                                    1
% 1.49/1.15  unary                                   0
% 1.49/1.15  binary                                  2
% 1.49/1.15  lits                                    7
% 1.49/1.15  lits eq                                 0
% 1.49/1.15  fd_pure                                 0
% 1.49/1.15  fd_pseudo                               0
% 1.49/1.15  fd_cond                                 0
% 1.49/1.15  fd_pseudo_cond                          0
% 1.49/1.15  AC symbols                              0
% 1.49/1.15  
% 1.49/1.15  ------ Schedule dynamic 5 is on 
% 1.49/1.15  
% 1.49/1.15  ------ no equalities: superposition off 
% 1.49/1.15  
% 1.49/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  ------ 
% 1.49/1.15  Current options:
% 1.49/1.15  ------ 
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  ------ Proving...
% 1.49/1.15  
% 1.49/1.15  
% 1.49/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.49/1.15  
% 1.49/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.49/1.15  
% 1.49/1.15  
%------------------------------------------------------------------------------