TSTP Solution File: FLD067-4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD067-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 22:33:23 EDT 2023

% Result   : Unsatisfiable 1.67s 1.26s
% Output   : CNFRefutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   5 unt;   0 nHn;  14 RR)
%            Number of literals    :   31 (   0 equ;  18 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; 0-1 aty)
%            Number of variables   :   14 (   0 sgn)

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

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

cnf(c_53,negated_conjecture,
    sum(b,additive_inverse(a),u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).

cnf(c_54,negated_conjecture,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6) ).

cnf(c_58,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_59,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_78,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,X4)
    | ~ less_or_equal(X0,X3)
    | less_or_equal(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).

cnf(c_263,plain,
    ( ~ sum(X0,X1,additive_identity)
    | ~ sum(X2,X1,u)
    | ~ less_or_equal(X0,X2)
    | less_or_equal(additive_identity,u) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_283,plain,
    ( ~ sum(X0,additive_inverse(a),additive_identity)
    | ~ sum(b,additive_inverse(a),u)
    | ~ less_or_equal(X0,b)
    | less_or_equal(additive_identity,u) ),
    inference(instantiation,[status(thm)],[c_263]) ).

cnf(c_382,plain,
    ( ~ sum(a,additive_inverse(a),additive_identity)
    | ~ sum(b,additive_inverse(a),u)
    | ~ less_or_equal(a,b)
    | less_or_equal(additive_identity,u) ),
    inference(instantiation,[status(thm)],[c_283]) ).

cnf(c_424,plain,
    ( ~ sum(additive_inverse(a),X0,additive_identity)
    | sum(X0,additive_inverse(a),additive_identity) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_2346,plain,
    ( ~ sum(additive_inverse(a),a,additive_identity)
    | sum(a,additive_inverse(a),additive_identity) ),
    inference(instantiation,[status(thm)],[c_424]) ).

cnf(c_2347,plain,
    ( ~ defined(a)
    | sum(additive_inverse(a),a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_2348,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2347,c_2346,c_382,c_53,c_54,c_52,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : FLD067-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15  % Command  : run_iprover %s %d THM
% 0.16/0.37  % Computer : n017.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon Aug 28 00:11:57 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.67/1.26  % SZS status Started for theBenchmark.p
% 1.67/1.26  % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.26  
% 1.67/1.26  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.67/1.26  
% 1.67/1.26  ------  iProver source info
% 1.67/1.26  
% 1.67/1.26  git: date: 2023-05-31 18:12:56 +0000
% 1.67/1.26  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.67/1.26  git: non_committed_changes: false
% 1.67/1.26  git: last_make_outside_of_git: false
% 1.67/1.26  
% 1.67/1.26  ------ Parsing...successful
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.67/1.26  
% 1.67/1.26  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.67/1.26  ------ Proving...
% 1.67/1.26  ------ Problem Properties 
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  clauses                                 32
% 1.67/1.26  conjectures                             3
% 1.67/1.26  EPR                                     23
% 1.67/1.26  Horn                                    29
% 1.67/1.26  unary                                   9
% 1.67/1.26  binary                                  6
% 1.67/1.26  lits                                    83
% 1.67/1.26  lits eq                                 0
% 1.67/1.26  fd_pure                                 0
% 1.67/1.26  fd_pseudo                               0
% 1.67/1.26  fd_cond                                 0
% 1.67/1.26  fd_pseudo_cond                          0
% 1.67/1.26  AC symbols                              0
% 1.67/1.26  
% 1.67/1.26  ------ Schedule dynamic 5 is on 
% 1.67/1.26  
% 1.67/1.26  ------ no equalities: superposition off 
% 1.67/1.26  
% 1.67/1.26  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  ------ 
% 1.67/1.26  Current options:
% 1.67/1.26  ------ 
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  ------ Proving...
% 1.67/1.26  
% 1.67/1.26  
% 1.67/1.26  % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.26  
% 1.67/1.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.26  
% 1.67/1.26  
%------------------------------------------------------------------------------