TSTP Solution File: FLD070-4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD070-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:15:30 EDT 2024

% Result   : Unsatisfiable 3.50s 1.15s
% Output   : CNFRefutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   7 unt;   0 nHn;  15 RR)
%            Number of literals    :   32 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

cnf(c_52,negated_conjecture,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).

cnf(c_53,negated_conjecture,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).

cnf(c_54,negated_conjecture,
    sum(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).

cnf(c_55,negated_conjecture,
    ~ less_or_equal(additive_identity,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).

cnf(c_58,plain,
    ( ~ defined(X0)
    | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(c_77,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ less_or_equal(X1,X2)
    | less_or_equal(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).

cnf(c_79,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,X4)
    | ~ less_or_equal(X0,X3)
    | less_or_equal(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).

cnf(c_310,plain,
    ( ~ less_or_equal(X0,c)
    | ~ less_or_equal(additive_identity,X0) ),
    inference(resolution,[status(thm)],[c_77,c_55]) ).

cnf(c_315,plain,
    ~ less_or_equal(b,c),
    inference(resolution,[status(thm)],[c_310,c_53]) ).

cnf(c_460,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,c)
    | ~ less_or_equal(X0,X3)
    | less_or_equal(X2,c) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_1182,plain,
    ( ~ sum(X0,b,X1)
    | ~ sum(a,b,c)
    | ~ less_or_equal(X0,a)
    | less_or_equal(X1,c) ),
    inference(instantiation,[status(thm)],[c_460]) ).

cnf(c_3870,plain,
    ( ~ sum(a,b,c)
    | ~ sum(additive_identity,b,b)
    | ~ less_or_equal(additive_identity,a)
    | less_or_equal(b,c) ),
    inference(instantiation,[status(thm)],[c_1182]) ).

cnf(c_3871,plain,
    ( ~ defined(b)
    | sum(additive_identity,b,b) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_3872,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3871,c_3870,c_315,c_54,c_52,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : FLD070-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n009.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 : Thu May  2 22:28:56 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 3.50/1.15  % SZS status Started for theBenchmark.p
% 3.50/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.15  
% 3.50/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.50/1.15  
% 3.50/1.15  ------  iProver source info
% 3.50/1.15  
% 3.50/1.15  git: date: 2024-05-02 19:28:25 +0000
% 3.50/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.50/1.15  git: non_committed_changes: false
% 3.50/1.15  
% 3.50/1.15  ------ Parsing...successful
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.50/1.15  
% 3.50/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.50/1.15  ------ Proving...
% 3.50/1.15  ------ Problem Properties 
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  clauses                                 33
% 3.50/1.15  conjectures                             4
% 3.50/1.15  EPR                                     25
% 3.50/1.15  Horn                                    30
% 3.50/1.15  unary                                   10
% 3.50/1.15  binary                                  6
% 3.50/1.15  lits                                    84
% 3.50/1.15  lits eq                                 0
% 3.50/1.15  fd_pure                                 0
% 3.50/1.15  fd_pseudo                               0
% 3.50/1.15  fd_cond                                 0
% 3.50/1.15  fd_pseudo_cond                          0
% 3.50/1.15  AC symbols                              0
% 3.50/1.15  
% 3.50/1.15  ------ Input Options Time Limit: Unbounded
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  ------ 
% 3.50/1.15  Current options:
% 3.50/1.15  ------ 
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  ------ Proving...
% 3.50/1.15  
% 3.50/1.15  
% 3.50/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.15  
% 3.50/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.15  
% 3.50/1.15  
%------------------------------------------------------------------------------