TSTP Solution File: FLD025-5 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 22:32:59 EDT 2023

% Result   : Unsatisfiable 3.03s 1.18s
% Output   : CNFRefutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (   7 unt;   0 nHn;  21 RR)
%            Number of literals    :   51 (   0 equ;  31 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    defined(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).

cnf(c_55,negated_conjecture,
    product(multiplicative_identity,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).

cnf(c_56,negated_conjecture,
    product(multiplicative_identity,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8) ).

cnf(c_57,negated_conjecture,
    product(a,c,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).

cnf(c_58,negated_conjecture,
    product(d,b,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).

cnf(c_59,negated_conjecture,
    ~ product(multiplicative_identity,u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_11) ).

cnf(c_65,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X2,X3,X5)
    | product(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).

cnf(c_66,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_67,plain,
    ( ~ defined(X0)
    | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).

cnf(c_69,plain,
    ( ~ product(X0,X1,X2)
    | product(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).

cnf(c_274,plain,
    ( ~ product(a,c,u)
    | product(c,a,u) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_276,plain,
    ( ~ product(multiplicative_identity,X0,X0)
    | product(X0,multiplicative_identity,X0) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_281,plain,
    ( ~ product(c,X0,X1)
    | ~ product(d,X0,X2)
    | ~ product(multiplicative_identity,c,d)
    | product(multiplicative_identity,X1,X2) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_295,plain,
    ( ~ product(X0,X1,b)
    | ~ product(d,X0,X2)
    | ~ product(d,b,v)
    | product(X2,X1,v) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_341,plain,
    ( ~ product(c,X0,u)
    | ~ product(d,X0,v)
    | ~ product(multiplicative_identity,c,d)
    | product(multiplicative_identity,u,v) ),
    inference(instantiation,[status(thm)],[c_281]) ).

cnf(c_384,plain,
    ( ~ product(d,multiplicative_identity,X0)
    | ~ product(d,b,v)
    | ~ product(multiplicative_identity,a,b)
    | product(X0,a,v) ),
    inference(instantiation,[status(thm)],[c_295]) ).

cnf(c_929,plain,
    ( ~ product(c,a,u)
    | ~ product(d,a,v)
    | ~ product(multiplicative_identity,c,d)
    | product(multiplicative_identity,u,v) ),
    inference(instantiation,[status(thm)],[c_341]) ).

cnf(c_932,plain,
    ( ~ product(d,b,v)
    | ~ product(d,multiplicative_identity,d)
    | ~ product(multiplicative_identity,a,b)
    | product(d,a,v) ),
    inference(instantiation,[status(thm)],[c_384]) ).

cnf(c_933,plain,
    ( ~ product(multiplicative_identity,d,d)
    | product(d,multiplicative_identity,d) ),
    inference(instantiation,[status(thm)],[c_276]) ).

cnf(c_1811,plain,
    ( ~ defined(d)
    | product(multiplicative_identity,d,d) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_1812,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1811,c_933,c_932,c_929,c_274,c_59,c_55,c_56,c_57,c_58,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.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 23:08:49 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.03/1.18  % SZS status Started for theBenchmark.p
% 3.03/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.18  
% 3.03/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.03/1.18  
% 3.03/1.18  ------  iProver source info
% 3.03/1.18  
% 3.03/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.03/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.03/1.18  git: non_committed_changes: false
% 3.03/1.18  git: last_make_outside_of_git: false
% 3.03/1.18  
% 3.03/1.18  ------ Parsing...successful
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.03/1.18  
% 3.03/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.03/1.18  ------ Proving...
% 3.03/1.18  ------ Problem Properties 
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  clauses                                 37
% 3.03/1.18  conjectures                             5
% 3.03/1.18  EPR                                     29
% 3.03/1.18  Horn                                    34
% 3.03/1.18  unary                                   14
% 3.03/1.18  binary                                  6
% 3.03/1.18  lits                                    88
% 3.03/1.18  lits eq                                 0
% 3.03/1.18  fd_pure                                 0
% 3.03/1.18  fd_pseudo                               0
% 3.03/1.18  fd_cond                                 0
% 3.03/1.18  fd_pseudo_cond                          0
% 3.03/1.18  AC symbols                              0
% 3.03/1.18  
% 3.03/1.18  ------ Schedule dynamic 5 is on 
% 3.03/1.18  
% 3.03/1.18  ------ no equalities: superposition off 
% 3.03/1.18  
% 3.03/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  ------ 
% 3.03/1.18  Current options:
% 3.03/1.18  ------ 
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  ------ Proving...
% 3.03/1.18  
% 3.03/1.18  
% 3.03/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.18  
% 3.03/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.03/1.18  
% 3.03/1.18  
%------------------------------------------------------------------------------