TSTP Solution File: FLD067-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD067-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed Aug 30 22:33:22 EDT 2023

% Result   : Unsatisfiable 2.30s 1.14s
% Output   : CNFRefutation 2.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   4 unt;   0 nHn;  14 RR)
%            Number of literals    :   30 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_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(additive_identity,add(b,additive_inverse(a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).

cnf(c_55,plain,
    ( ~ defined(X0)
    | equalish(add(X0,additive_inverse(X0)),additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).

cnf(c_64,plain,
    ( ~ defined(X0)
    | defined(additive_inverse(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).

cnf(c_71,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ defined(X2)
    | less_or_equal(add(X0,X2),add(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).

cnf(c_78,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ equalish(X0,X2)
    | less_or_equal(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).

cnf(c_255,plain,
    ( ~ less_or_equal(X0,add(b,additive_inverse(a)))
    | ~ equalish(X0,additive_identity)
    | less_or_equal(additive_identity,add(b,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_261,plain,
    ( ~ less_or_equal(X0,b)
    | ~ defined(additive_inverse(a))
    | less_or_equal(add(X0,additive_inverse(a)),add(b,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_290,plain,
    ( ~ defined(a)
    | defined(additive_inverse(a)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_341,plain,
    ( ~ defined(additive_inverse(a))
    | ~ less_or_equal(a,b)
    | less_or_equal(add(a,additive_inverse(a)),add(b,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_261]) ).

cnf(c_559,plain,
    ( ~ less_or_equal(add(a,additive_inverse(a)),add(b,additive_inverse(a)))
    | ~ equalish(add(a,additive_inverse(a)),additive_identity)
    | less_or_equal(additive_identity,add(b,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_255]) ).

cnf(c_1703,plain,
    ( ~ defined(a)
    | equalish(add(a,additive_inverse(a)),additive_identity) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_1704,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1703,c_559,c_341,c_290,c_52,c_51,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : FLD067-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 01:04:22 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.45  Running first-order theorem proving
% 0.20/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.30/1.14  % SZS status Started for theBenchmark.p
% 2.30/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.30/1.14  
% 2.30/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.30/1.14  
% 2.30/1.14  ------  iProver source info
% 2.30/1.14  
% 2.30/1.14  git: date: 2023-05-31 18:12:56 +0000
% 2.30/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.30/1.14  git: non_committed_changes: false
% 2.30/1.14  git: last_make_outside_of_git: false
% 2.30/1.14  
% 2.30/1.14  ------ Parsing...successful
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.30/1.14  
% 2.30/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.30/1.14  ------ Proving...
% 2.30/1.14  ------ Problem Properties 
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  clauses                                 31
% 2.30/1.14  conjectures                             2
% 2.30/1.14  EPR                                     13
% 2.30/1.14  Horn                                    28
% 2.30/1.14  unary                                   7
% 2.30/1.14  binary                                  6
% 2.30/1.14  lits                                    77
% 2.30/1.14  lits eq                                 0
% 2.30/1.14  fd_pure                                 0
% 2.30/1.14  fd_pseudo                               0
% 2.30/1.14  fd_cond                                 0
% 2.30/1.14  fd_pseudo_cond                          0
% 2.30/1.14  AC symbols                              0
% 2.30/1.14  
% 2.30/1.14  ------ Schedule dynamic 5 is on 
% 2.30/1.14  
% 2.30/1.14  ------ no equalities: superposition off 
% 2.30/1.14  
% 2.30/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  ------ 
% 2.30/1.14  Current options:
% 2.30/1.14  ------ 
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  ------ Proving...
% 2.30/1.14  
% 2.30/1.14  
% 2.30/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.30/1.14  
% 2.30/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.30/1.14  
% 2.30/1.14  
%------------------------------------------------------------------------------