TSTP Solution File: FLD055-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:15:23 EDT 2024

% Result   : Unsatisfiable 3.14s 1.22s
% Output   : CNFRefutation 3.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (   6 unt;   1 nHn;  17 RR)
%            Number of literals    :   41 (   0 equ;  24 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   :   18 (   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(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).

cnf(c_53,negated_conjecture,
    sum(additive_identity,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).

cnf(c_54,negated_conjecture,
    ~ less_or_equal(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_6) ).

cnf(c_57,plain,
    ( ~ defined(X0)
    | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(c_68,plain,
    defined(additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

cnf(c_76,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_77,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | less_or_equal(X0,X1)
    | less_or_equal(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).

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/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).

cnf(c_87,plain,
    ( ~ defined(additive_identity)
    | less_or_equal(additive_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_262,plain,
    ( ~ less_or_equal(X0,c)
    | ~ less_or_equal(a,X0)
    | less_or_equal(a,c) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_283,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,c)
    | ~ less_or_equal(X0,X3)
    | less_or_equal(X2,c) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_396,plain,
    ( ~ less_or_equal(a,b)
    | ~ less_or_equal(b,c)
    | less_or_equal(a,c) ),
    inference(instantiation,[status(thm)],[c_262]) ).

cnf(c_504,plain,
    ( ~ sum(X0,b,X1)
    | ~ sum(additive_identity,b,c)
    | ~ less_or_equal(X0,additive_identity)
    | less_or_equal(X1,c) ),
    inference(instantiation,[status(thm)],[c_283]) ).

cnf(c_2136,plain,
    ( ~ sum(additive_identity,b,b)
    | ~ sum(additive_identity,b,c)
    | ~ less_or_equal(additive_identity,additive_identity)
    | less_or_equal(b,c) ),
    inference(instantiation,[status(thm)],[c_504]) ).

cnf(c_2137,plain,
    ( ~ defined(b)
    | sum(additive_identity,b,b) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_2138,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2137,c_2136,c_396,c_87,c_53,c_54,c_52,c_50,c_68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : FLD055-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n003.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 : Thu May  2 22:36:20 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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
% 3.14/1.22  % SZS status Started for theBenchmark.p
% 3.14/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.22  
% 3.14/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.14/1.22  
% 3.14/1.22  ------  iProver source info
% 3.14/1.22  
% 3.14/1.22  git: date: 2024-05-02 19:28:25 +0000
% 3.14/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.14/1.22  git: non_committed_changes: false
% 3.14/1.22  
% 3.14/1.22  ------ Parsing...successful
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.14/1.22  
% 3.14/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.14/1.22  ------ Proving...
% 3.14/1.22  ------ Problem Properties 
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  clauses                                 32
% 3.14/1.22  conjectures                             3
% 3.14/1.22  EPR                                     24
% 3.14/1.22  Horn                                    29
% 3.14/1.22  unary                                   9
% 3.14/1.22  binary                                  6
% 3.14/1.22  lits                                    83
% 3.14/1.22  lits eq                                 0
% 3.14/1.22  fd_pure                                 0
% 3.14/1.22  fd_pseudo                               0
% 3.14/1.22  fd_cond                                 0
% 3.14/1.22  fd_pseudo_cond                          0
% 3.14/1.22  AC symbols                              0
% 3.14/1.22  
% 3.14/1.22  ------ Schedule dynamic 5 is on 
% 3.14/1.22  
% 3.14/1.22  ------ no equalities: superposition off 
% 3.14/1.22  
% 3.14/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  ------ 
% 3.14/1.22  Current options:
% 3.14/1.22  ------ 
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  ------ Proving...
% 3.14/1.22  
% 3.14/1.22  
% 3.14/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.22  
% 3.14/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.14/1.22  
% 3.14/1.22  
%------------------------------------------------------------------------------