TSTP Solution File: FLD006-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD006-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 02:15:05 EDT 2024

% Result   : Unsatisfiable 2.02s 1.12s
% Output   : CNFRefutation 2.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   3 unt;   0 nHn;   7 RR)
%            Number of literals    :   11 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).

cnf(c_53,plain,
    ( ~ defined(X0)
    | sum(additive_inverse(X0),X0,additive_identity) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

cnf(c_54,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_63,plain,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

cnf(c_699,plain,
    ( ~ defined(X0)
    | sum(X0,additive_inverse(X0),additive_identity) ),
    inference(superposition,[status(thm)],[c_53,c_54]) ).

cnf(c_704,plain,
    ( ~ defined(additive_identity)
    | sum(additive_identity,additive_inverse(additive_identity),additive_identity) ),
    inference(instantiation,[status(thm)],[c_699]) ).

cnf(c_705,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_704,c_49,c_63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : FLD006-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.31  % Computer : n024.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Thu May  2 22:31:50 EDT 2024
% 0.12/0.31  % CPUTime  : 
% 0.16/0.44  Running first-order theorem proving
% 0.16/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.02/1.12  % SZS status Started for theBenchmark.p
% 2.02/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 2.02/1.12  
% 2.02/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.02/1.12  
% 2.02/1.12  ------  iProver source info
% 2.02/1.12  
% 2.02/1.12  git: date: 2024-05-02 19:28:25 +0000
% 2.02/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.02/1.12  git: non_committed_changes: false
% 2.02/1.12  
% 2.02/1.12  ------ Parsing...successful
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.02/1.12  
% 2.02/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.02/1.12  
% 2.02/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.02/1.12  ------ Proving...
% 2.02/1.12  ------ Problem Properties 
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  clauses                                 28
% 2.02/1.12  conjectures                             1
% 2.02/1.12  EPR                                     19
% 2.02/1.12  Horn                                    25
% 2.02/1.12  unary                                   5
% 2.02/1.12  binary                                  6
% 2.02/1.12  lits                                    79
% 2.02/1.12  lits eq                                 1
% 2.02/1.12  fd_pure                                 0
% 2.02/1.12  fd_pseudo                               0
% 2.02/1.12  fd_cond                                 0
% 2.02/1.12  fd_pseudo_cond                          0
% 2.02/1.12  AC symbols                              0
% 2.02/1.12  
% 2.02/1.12  ------ Schedule dynamic 5 is on 
% 2.02/1.12  
% 2.02/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  ------ 
% 2.02/1.12  Current options:
% 2.02/1.12  ------ 
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  ------ Proving...
% 2.02/1.12  
% 2.02/1.12  
% 2.02/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 2.02/1.12  
% 2.02/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.02/1.12  
% 2.02/1.12  
%------------------------------------------------------------------------------