TSTP Solution File: FLD060-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD060-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 : Wed Aug 30 22:33:18 EDT 2023

% Result   : Unsatisfiable 7.73s 1.62s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (   5 unt;   0 nHn;  25 RR)
%            Number of literals    :   68 (   0 equ;  44 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

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

cnf(c_51,negated_conjecture,
    less_or_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).

cnf(c_52,negated_conjecture,
    ~ less_or_equal(add(a,a),add(b,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).

cnf(c_57,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_71,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | sum(X0,X1,add(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).

cnf(c_74,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_76,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_252,plain,
    ( ~ less_or_equal(add(a,a),X0)
    | ~ less_or_equal(X0,add(b,b))
    | less_or_equal(add(a,a),add(b,b)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_260,plain,
    ( ~ sum(X0,X1,add(b,b))
    | ~ sum(X2,X1,X3)
    | ~ less_or_equal(X2,X0)
    | less_or_equal(X3,add(b,b)) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_287,plain,
    ( ~ defined(b)
    | sum(b,b,add(b,b)) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_292,plain,
    ( ~ sum(X0,X1,add(a,a))
    | ~ sum(X2,X1,X3)
    | ~ less_or_equal(X0,X2)
    | less_or_equal(add(a,a),X3) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_306,plain,
    ( ~ sum(b,b,add(b,b))
    | ~ sum(X0,b,X1)
    | ~ less_or_equal(X0,b)
    | less_or_equal(X1,add(b,b)) ),
    inference(instantiation,[status(thm)],[c_260]) ).

cnf(c_442,plain,
    ( ~ sum(X0,b,add(X0,b))
    | ~ sum(b,b,add(b,b))
    | ~ less_or_equal(X0,b)
    | less_or_equal(add(X0,b),add(b,b)) ),
    inference(instantiation,[status(thm)],[c_306]) ).

cnf(c_498,plain,
    ( ~ sum(a,a,add(a,a))
    | ~ sum(X0,a,X1)
    | ~ less_or_equal(a,X0)
    | less_or_equal(add(a,a),X1) ),
    inference(instantiation,[status(thm)],[c_292]) ).

cnf(c_862,plain,
    ( ~ defined(X0)
    | ~ defined(b)
    | sum(X0,b,add(X0,b)) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_950,plain,
    ( ~ sum(a,X0,X1)
    | sum(X0,a,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_1705,plain,
    ( ~ less_or_equal(add(X0,b),add(b,b))
    | ~ less_or_equal(add(a,a),add(X0,b))
    | less_or_equal(add(a,a),add(b,b)) ),
    inference(instantiation,[status(thm)],[c_252]) ).

cnf(c_2670,plain,
    ( ~ defined(a)
    | sum(a,a,add(a,a)) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_6124,plain,
    ( ~ sum(a,b,add(a,b))
    | sum(b,a,add(a,b)) ),
    inference(instantiation,[status(thm)],[c_950]) ).

cnf(c_8123,plain,
    ( ~ defined(a)
    | ~ defined(b)
    | sum(a,b,add(a,b)) ),
    inference(instantiation,[status(thm)],[c_862]) ).

cnf(c_13978,plain,
    ( ~ sum(a,b,add(a,b))
    | ~ sum(b,b,add(b,b))
    | ~ less_or_equal(a,b)
    | less_or_equal(add(a,b),add(b,b)) ),
    inference(instantiation,[status(thm)],[c_442]) ).

cnf(c_14556,plain,
    ( ~ sum(a,a,add(a,a))
    | ~ sum(b,a,add(a,b))
    | ~ less_or_equal(a,b)
    | less_or_equal(add(a,a),add(a,b)) ),
    inference(instantiation,[status(thm)],[c_498]) ).

cnf(c_20501,plain,
    ( ~ less_or_equal(add(a,a),add(a,b))
    | ~ less_or_equal(add(a,b),add(b,b))
    | less_or_equal(add(a,a),add(b,b)) ),
    inference(instantiation,[status(thm)],[c_1705]) ).

cnf(c_20502,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20501,c_14556,c_13978,c_8123,c_6124,c_2670,c_287,c_52,c_51,c_49,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD060-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 00:00:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.73/1.62  % SZS status Started for theBenchmark.p
% 7.73/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.62  
% 7.73/1.62  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.73/1.62  
% 7.73/1.62  ------  iProver source info
% 7.73/1.62  
% 7.73/1.62  git: date: 2023-05-31 18:12:56 +0000
% 7.73/1.62  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.73/1.62  git: non_committed_changes: false
% 7.73/1.62  git: last_make_outside_of_git: false
% 7.73/1.62  
% 7.73/1.62  ------ Parsing...successful
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.73/1.62  
% 7.73/1.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.73/1.62  ------ Proving...
% 7.73/1.62  ------ Problem Properties 
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  clauses                                 30
% 7.73/1.62  conjectures                             2
% 7.73/1.62  EPR                                     21
% 7.73/1.62  Horn                                    27
% 7.73/1.62  unary                                   7
% 7.73/1.62  binary                                  6
% 7.73/1.62  lits                                    81
% 7.73/1.62  lits eq                                 0
% 7.73/1.62  fd_pure                                 0
% 7.73/1.62  fd_pseudo                               0
% 7.73/1.62  fd_cond                                 0
% 7.73/1.62  fd_pseudo_cond                          0
% 7.73/1.62  AC symbols                              0
% 7.73/1.62  
% 7.73/1.62  ------ Input Options Time Limit: Unbounded
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  ------ 
% 7.73/1.62  Current options:
% 7.73/1.62  ------ 
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  ------ Proving...
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.62  
% 7.73/1.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.73/1.62  
% 7.73/1.62  
%------------------------------------------------------------------------------