TSTP Solution File: FLD032-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD032-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 22:33:03 EDT 2023

% Result   : Unsatisfiable 2.56s 1.17s
% Output   : CNFRefutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   6 unt;   2 nHn;  14 RR)
%            Number of literals    :   32 (   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    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn)

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

cnf(c_50,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).

cnf(c_51,negated_conjecture,
    product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_3) ).

cnf(c_52,negated_conjecture,
    ~ product(multiplicative_identity,a,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).

cnf(c_59,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X4)
    | ~ product(X3,X5,X1)
    | product(X4,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).

cnf(c_60,plain,
    ( ~ defined(X0)
    | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).

cnf(c_61,plain,
    ( ~ defined(X0)
    | product(multiplicative_inverse(X0),X0,multiplicative_identity)
    | sum(additive_identity,X0,additive_identity) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).

cnf(c_69,plain,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).

cnf(c_252,plain,
    ( ~ defined(a)
    | product(multiplicative_inverse(a),a,multiplicative_identity)
    | sum(additive_identity,a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_271,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(multiplicative_identity,X0,X3)
    | ~ product(multiplicative_identity,X2,X2)
    | product(X3,X1,X2) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_414,plain,
    ( ~ product(multiplicative_identity,multiplicative_inverse(a),X0)
    | ~ product(multiplicative_inverse(a),a,multiplicative_identity)
    | ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
    | product(X0,a,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_271]) ).

cnf(c_574,plain,
    ( ~ defined(multiplicative_identity)
    | product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_1134,plain,
    ( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
    | ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)
    | ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
    | product(multiplicative_identity,a,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_414]) ).

cnf(c_1135,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1134,c_574,c_252,c_50,c_51,c_52,c_49,c_69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : FLD032-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 00:37:39 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.56/1.17  % SZS status Started for theBenchmark.p
% 2.56/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.17  
% 2.56/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.56/1.17  
% 2.56/1.17  ------  iProver source info
% 2.56/1.17  
% 2.56/1.17  git: date: 2023-05-31 18:12:56 +0000
% 2.56/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.56/1.17  git: non_committed_changes: false
% 2.56/1.17  git: last_make_outside_of_git: false
% 2.56/1.17  
% 2.56/1.17  ------ Parsing...successful
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.56/1.17  
% 2.56/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.56/1.17  ------ Proving...
% 2.56/1.17  ------ Problem Properties 
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  clauses                                 30
% 2.56/1.17  conjectures                             3
% 2.56/1.17  EPR                                     21
% 2.56/1.17  Horn                                    27
% 2.56/1.17  unary                                   7
% 2.56/1.17  binary                                  6
% 2.56/1.17  lits                                    81
% 2.56/1.17  lits eq                                 0
% 2.56/1.17  fd_pure                                 0
% 2.56/1.17  fd_pseudo                               0
% 2.56/1.17  fd_cond                                 0
% 2.56/1.17  fd_pseudo_cond                          0
% 2.56/1.17  AC symbols                              0
% 2.56/1.17  
% 2.56/1.17  ------ Schedule dynamic 5 is on 
% 2.56/1.17  
% 2.56/1.17  ------ no equalities: superposition off 
% 2.56/1.17  
% 2.56/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  ------ 
% 2.56/1.17  Current options:
% 2.56/1.17  ------ 
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  ------ Proving...
% 2.56/1.17  
% 2.56/1.17  
% 2.56/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.17  
% 2.56/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.56/1.17  
% 2.56/1.17  
%------------------------------------------------------------------------------