TSTP Solution File: FLD061-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD061-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 22:33:19 EDT 2023

% Result   : Unsatisfiable 13.45s 2.72s
% Output   : CNFRefutation 13.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   28 (   8 unt;   0 nHn;  28 RR)
%            Number of literals    :   74 (   0 equ;  47 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (   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,plain,
    defined(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).

cnf(c_52,plain,
    defined(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).

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

cnf(c_54,negated_conjecture,
    less_or_equal(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_6) ).

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

cnf(c_60,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_74,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_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_260,plain,
    ( ~ less_or_equal(add(a,c),X0)
    | ~ less_or_equal(X0,add(d,b))
    | less_or_equal(add(a,c),add(d,b)) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_283,plain,
    ( ~ sum(X0,X1,add(a,c))
    | ~ sum(X2,X1,X3)
    | ~ less_or_equal(X0,X2)
    | less_or_equal(add(a,c),X3) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_294,plain,
    ( ~ defined(a)
    | ~ defined(c)
    | sum(a,c,add(a,c)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_438,plain,
    ( ~ sum(a,c,add(a,c))
    | ~ sum(X0,c,X1)
    | ~ less_or_equal(a,X0)
    | less_or_equal(add(a,c),X1) ),
    inference(instantiation,[status(thm)],[c_283]) ).

cnf(c_1844,plain,
    ( ~ sum(X0,X1,add(d,b))
    | ~ sum(X2,X1,X3)
    | ~ less_or_equal(X2,X0)
    | less_or_equal(X3,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_10529,plain,
    ( ~ defined(X0)
    | ~ defined(c)
    | sum(X0,c,add(X0,c)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_11326,plain,
    ( ~ defined(b)
    | ~ defined(d)
    | sum(d,b,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_11673,plain,
    ( ~ sum(a,c,add(a,c))
    | ~ sum(b,c,X0)
    | ~ less_or_equal(a,b)
    | less_or_equal(add(a,c),X0) ),
    inference(instantiation,[status(thm)],[c_438]) ).

cnf(c_27623,plain,
    ( ~ sum(d,b,add(d,b))
    | ~ sum(X0,b,X1)
    | ~ less_or_equal(X0,d)
    | less_or_equal(X1,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_1844]) ).

cnf(c_30058,plain,
    ( ~ defined(b)
    | ~ defined(c)
    | sum(b,c,add(b,c)) ),
    inference(instantiation,[status(thm)],[c_10529]) ).

cnf(c_30060,plain,
    ( ~ sum(a,c,add(a,c))
    | ~ sum(b,c,add(b,c))
    | ~ less_or_equal(a,b)
    | less_or_equal(add(a,c),add(b,c)) ),
    inference(instantiation,[status(thm)],[c_11673]) ).

cnf(c_34418,plain,
    ( ~ less_or_equal(add(a,c),add(b,c))
    | ~ less_or_equal(add(b,c),add(d,b))
    | less_or_equal(add(a,c),add(d,b)) ),
    inference(instantiation,[status(thm)],[c_260]) ).

cnf(c_36975,plain,
    ( ~ sum(d,b,add(d,b))
    | ~ sum(c,b,X0)
    | ~ less_or_equal(c,d)
    | less_or_equal(X0,add(d,b)) ),
    inference(instantiation,[status(thm)],[c_27623]) ).

cnf(c_44717,plain,
    ( ~ sum(c,b,add(b,c))
    | ~ sum(d,b,add(d,b))
    | ~ less_or_equal(c,d)
    | less_or_equal(add(b,c),add(d,b)) ),
    inference(instantiation,[status(thm)],[c_36975]) ).

cnf(c_93253,plain,
    ( ~ sum(b,c,X0)
    | sum(c,b,X0) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_100644,plain,
    ( ~ sum(b,c,add(b,c))
    | sum(c,b,add(b,c)) ),
    inference(instantiation,[status(thm)],[c_93253]) ).

cnf(c_100646,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_100644,c_44717,c_34418,c_30060,c_30058,c_11326,c_294,c_55,c_53,c_54,c_49,c_50,c_51,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD061-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 00:25:43 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.45/2.72  % SZS status Started for theBenchmark.p
% 13.45/2.72  % SZS status Unsatisfiable for theBenchmark.p
% 13.45/2.72  
% 13.45/2.72  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.45/2.72  
% 13.45/2.72  ------  iProver source info
% 13.45/2.72  
% 13.45/2.72  git: date: 2023-05-31 18:12:56 +0000
% 13.45/2.72  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.45/2.72  git: non_committed_changes: false
% 13.45/2.72  git: last_make_outside_of_git: false
% 13.45/2.72  
% 13.45/2.72  ------ Parsing...successful
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 13.45/2.72  
% 13.45/2.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 13.45/2.72  ------ Proving...
% 13.45/2.72  ------ Problem Properties 
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  clauses                                 33
% 13.45/2.72  conjectures                             3
% 13.45/2.72  EPR                                     24
% 13.45/2.72  Horn                                    30
% 13.45/2.72  unary                                   10
% 13.45/2.72  binary                                  6
% 13.45/2.72  lits                                    84
% 13.45/2.72  lits eq                                 0
% 13.45/2.72  fd_pure                                 0
% 13.45/2.72  fd_pseudo                               0
% 13.45/2.72  fd_cond                                 0
% 13.45/2.72  fd_pseudo_cond                          0
% 13.45/2.72  AC symbols                              0
% 13.45/2.72  
% 13.45/2.72  ------ Schedule dynamic 5 is on 
% 13.45/2.72  
% 13.45/2.72  ------ no equalities: superposition off 
% 13.45/2.72  
% 13.45/2.72  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  ------ 
% 13.45/2.72  Current options:
% 13.45/2.72  ------ 
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  ------ Proving...
% 13.45/2.72  
% 13.45/2.72  
% 13.45/2.72  % SZS status Unsatisfiable for theBenchmark.p
% 13.45/2.72  
% 13.45/2.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.45/2.72  
% 13.45/2.72  
%------------------------------------------------------------------------------