TSTP Solution File: FLD031-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD031-3 : 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 22:33:02 EDT 2023

% Result   : Unsatisfiable 2.86s 1.11s
% Output   : CNFRefutation 2.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (   7 unt;   3 nHn;  16 RR)
%            Number of literals    :   32 (   0 equ;  16 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   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

cnf(c_50,negated_conjecture,
    product(multiplicative_identity,a,multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2) ).

cnf(c_51,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).

cnf(c_52,negated_conjecture,
    ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).

cnf(c_60,plain,
    ( ~ defined(X0)
    | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).

cnf(c_62,plain,
    ( ~ product(X0,X1,X2)
    | product(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).

cnf(c_69,plain,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).

cnf(c_589,plain,
    ( ~ defined(multiplicative_identity)
    | product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_738,plain,
    ( ~ defined(X0)
    | product(X0,multiplicative_inverse(X0),multiplicative_identity)
    | sum(additive_identity,X0,additive_identity) ),
    inference(superposition,[status(thm)],[c_61,c_62]) ).

cnf(c_3235,plain,
    ( ~ product(a,X0,X1)
    | ~ product(multiplicative_identity,X1,X2)
    | product(multiplicative_identity,X0,X2) ),
    inference(superposition,[status(thm)],[c_50,c_59]) ).

cnf(c_4039,plain,
    ( ~ product(multiplicative_identity,multiplicative_identity,X0)
    | ~ defined(a)
    | product(multiplicative_identity,multiplicative_inverse(a),X0)
    | sum(additive_identity,a,additive_identity) ),
    inference(superposition,[status(thm)],[c_738,c_3235]) ).

cnf(c_4043,plain,
    ( ~ product(multiplicative_identity,multiplicative_identity,X0)
    | product(multiplicative_identity,multiplicative_inverse(a),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4039,c_51,c_49]) ).

cnf(c_4193,plain,
    ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
    inference(superposition,[status(thm)],[c_4043,c_52]) ).

cnf(c_4213,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4193,c_589,c_69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD031-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 23:16:58 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.86/1.11  % SZS status Started for theBenchmark.p
% 2.86/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.11  
% 2.86/1.11  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.86/1.11  
% 2.86/1.11  ------  iProver source info
% 2.86/1.11  
% 2.86/1.11  git: date: 2023-05-31 18:12:56 +0000
% 2.86/1.11  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.86/1.11  git: non_committed_changes: false
% 2.86/1.11  git: last_make_outside_of_git: false
% 2.86/1.11  
% 2.86/1.11  ------ Parsing...successful
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.86/1.11  
% 2.86/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.86/1.11  ------ Proving...
% 2.86/1.11  ------ Problem Properties 
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  clauses                                 30
% 2.86/1.11  conjectures                             3
% 2.86/1.11  EPR                                     21
% 2.86/1.11  Horn                                    27
% 2.86/1.11  unary                                   7
% 2.86/1.11  binary                                  6
% 2.86/1.11  lits                                    81
% 2.86/1.11  lits eq                                 0
% 2.86/1.11  fd_pure                                 0
% 2.86/1.11  fd_pseudo                               0
% 2.86/1.11  fd_cond                                 0
% 2.86/1.11  fd_pseudo_cond                          0
% 2.86/1.11  AC symbols                              0
% 2.86/1.11  
% 2.86/1.11  ------ Schedule dynamic 5 is on 
% 2.86/1.11  
% 2.86/1.11  ------ no equalities: superposition off 
% 2.86/1.11  
% 2.86/1.11  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  ------ 
% 2.86/1.11  Current options:
% 2.86/1.11  ------ 
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  ------ Proving...
% 2.86/1.11  
% 2.86/1.11  
% 2.86/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.11  
% 2.86/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.86/1.11  
% 2.86/1.11  
%------------------------------------------------------------------------------