TSTP Solution File: FLD010-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 22:32:50 EDT 2023

% Result   : Unsatisfiable 2.08s 1.16s
% Output   : CNFRefutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   4 unt;   4 nHn;  16 RR)
%            Number of literals    :   35 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inv_not_equal_to_multiplicative_id_2) ).

cnf(c_55,plain,
    ( ~ defined(X0)
    | equalish(multiply(multiplicative_identity,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).

cnf(c_56,plain,
    ( ~ defined(X0)
    | equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
    | equalish(X0,additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).

cnf(c_63,plain,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).

cnf(c_64,plain,
    ( ~ defined(X0)
    | equalish(X0,additive_identity)
    | defined(multiplicative_inverse(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).

cnf(c_71,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(c_72,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(c_76,plain,
    ~ equalish(additive_identity,multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',different_identities) ).

cnf(c_244,plain,
    ( ~ equalish(multiplicative_identity,additive_identity)
    | equalish(additive_identity,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_247,plain,
    ( ~ equalish(multiplicative_inverse(multiplicative_identity),X0)
    | ~ equalish(X0,multiplicative_identity)
    | equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_266,plain,
    ( ~ defined(multiplicative_identity)
    | equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
    | equalish(multiplicative_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_267,plain,
    ( ~ defined(multiplicative_identity)
    | equalish(multiplicative_identity,additive_identity)
    | defined(multiplicative_inverse(multiplicative_identity)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_331,plain,
    ( ~ equalish(multiplicative_inverse(multiplicative_identity),multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
    | ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
    | equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_247]) ).

cnf(c_345,plain,
    ( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity))
    | equalish(multiplicative_inverse(multiplicative_identity),multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity))) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_485,plain,
    ( ~ defined(multiplicative_inverse(multiplicative_identity))
    | equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_486,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_485,c_345,c_331,c_266,c_267,c_244,c_49,c_76,c_63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 00:48:26 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.08/1.16  % SZS status Started for theBenchmark.p
% 2.08/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.08/1.16  
% 2.08/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.08/1.16  
% 2.08/1.16  ------  iProver source info
% 2.08/1.16  
% 2.08/1.16  git: date: 2023-05-31 18:12:56 +0000
% 2.08/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.08/1.16  git: non_committed_changes: false
% 2.08/1.16  git: last_make_outside_of_git: false
% 2.08/1.16  
% 2.08/1.16  ------ Parsing...successful
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.08/1.16  
% 2.08/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.08/1.16  ------ Proving...
% 2.08/1.16  ------ Problem Properties 
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  clauses                                 28
% 2.08/1.16  conjectures                             1
% 2.08/1.16  EPR                                     10
% 2.08/1.16  Horn                                    25
% 2.08/1.16  unary                                   4
% 2.08/1.16  binary                                  6
% 2.08/1.16  lits                                    74
% 2.08/1.16  lits eq                                 0
% 2.08/1.16  fd_pure                                 0
% 2.08/1.16  fd_pseudo                               0
% 2.08/1.16  fd_cond                                 0
% 2.08/1.16  fd_pseudo_cond                          0
% 2.08/1.16  AC symbols                              0
% 2.08/1.16  
% 2.08/1.16  ------ Schedule dynamic 5 is on 
% 2.08/1.16  
% 2.08/1.16  ------ no equalities: superposition off 
% 2.08/1.16  
% 2.08/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  ------ 
% 2.08/1.16  Current options:
% 2.08/1.16  ------ 
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  ------ Proving...
% 2.08/1.16  
% 2.08/1.16  
% 2.08/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.08/1.16  
% 2.08/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.08/1.16  
% 2.08/1.16  
%------------------------------------------------------------------------------