TSTP Solution File: FLD030-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD030-3 : 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 : Wed Aug 30 22:33:02 EDT 2023

% Result   : Unsatisfiable 3.50s 1.13s
% Output   : CNFRefutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   5 unt;   0 nHn;  15 RR)
%            Number of literals    :   35 (   0 equ;  21 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

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

cnf(c_50,plain,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

cnf(c_52,negated_conjecture,
    product(multiplicative_identity,a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).

cnf(c_53,negated_conjecture,
    ~ product(d,b,multiply(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).

cnf(c_60,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_61,plain,
    ( ~ defined(X0)
    | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).

cnf(c_63,plain,
    ( ~ product(X0,X1,X2)
    | product(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).

cnf(c_73,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | product(X0,X1,multiply(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).

cnf(c_254,plain,
    ( ~ product(multiplicative_identity,a,d)
    | product(a,multiplicative_identity,d) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_265,plain,
    ( ~ product(X0,X1,multiply(X0,X1))
    | ~ product(X0,X2,X3)
    | ~ product(X2,X4,X1)
    | product(X3,X4,multiply(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_401,plain,
    ( ~ product(a,b,multiply(a,b))
    | ~ product(X0,b,b)
    | ~ product(a,X0,d)
    | product(d,b,multiply(a,b)) ),
    inference(instantiation,[status(thm)],[c_265]) ).

cnf(c_431,plain,
    ( ~ defined(a)
    | ~ defined(b)
    | product(a,b,multiply(a,b)) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_1892,plain,
    ( ~ product(a,b,multiply(a,b))
    | ~ product(a,multiplicative_identity,d)
    | ~ product(multiplicative_identity,b,b)
    | product(d,b,multiply(a,b)) ),
    inference(instantiation,[status(thm)],[c_401]) ).

cnf(c_1894,plain,
    ( ~ defined(b)
    | product(multiplicative_identity,b,b) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_1895,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1894,c_1892,c_431,c_254,c_53,c_52,c_49,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD030-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % 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 : Mon Aug 28 00:49:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.50/1.13  % SZS status Started for theBenchmark.p
% 3.50/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.13  
% 3.50/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.50/1.13  
% 3.50/1.13  ------  iProver source info
% 3.50/1.13  
% 3.50/1.13  git: date: 2023-05-31 18:12:56 +0000
% 3.50/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.50/1.13  git: non_committed_changes: false
% 3.50/1.13  git: last_make_outside_of_git: false
% 3.50/1.13  
% 3.50/1.13  ------ Parsing...successful
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.50/1.13  
% 3.50/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.50/1.13  ------ Proving...
% 3.50/1.13  ------ Problem Properties 
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  clauses                                 31
% 3.50/1.13  conjectures                             2
% 3.50/1.13  EPR                                     22
% 3.50/1.13  Horn                                    28
% 3.50/1.13  unary                                   8
% 3.50/1.13  binary                                  6
% 3.50/1.13  lits                                    82
% 3.50/1.13  lits eq                                 0
% 3.50/1.13  fd_pure                                 0
% 3.50/1.13  fd_pseudo                               0
% 3.50/1.13  fd_cond                                 0
% 3.50/1.13  fd_pseudo_cond                          0
% 3.50/1.13  AC symbols                              0
% 3.50/1.13  
% 3.50/1.13  ------ Schedule dynamic 5 is on 
% 3.50/1.13  
% 3.50/1.13  ------ no equalities: superposition off 
% 3.50/1.13  
% 3.50/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  ------ 
% 3.50/1.13  Current options:
% 3.50/1.13  ------ 
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  ------ Proving...
% 3.50/1.13  
% 3.50/1.13  
% 3.50/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.13  
% 3.50/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.13  
% 3.50/1.13  
%------------------------------------------------------------------------------