TSTP Solution File: GRP005-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Fri May  3 02:19:44 EDT 2024

% Result   : Unsatisfiable 0.49s 1.16s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   19 (   0 equ;  11 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    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    product(X0,inverse(X0),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).

cnf(c_53,plain,
    an_element(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_set) ).

cnf(c_54,plain,
    ( ~ product(X0,inverse(X1),X2)
    | ~ an_element(X0)
    | ~ an_element(X1)
    | an_element(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).

cnf(c_57,negated_conjecture,
    ~ an_element(identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_an_element) ).

cnf(c_98,plain,
    ( ~ product(a,inverse(X0),X1)
    | ~ an_element(X0)
    | ~ an_element(a)
    | an_element(X1) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_99,plain,
    ( ~ product(a,inverse(a),X0)
    | ~ an_element(a)
    | an_element(X0) ),
    inference(instantiation,[status(thm)],[c_98]) ).

cnf(c_100,plain,
    ( ~ product(a,inverse(a),identity)
    | ~ an_element(a)
    | an_element(identity) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_102,plain,
    product(a,inverse(a),identity),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_103,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_102,c_100,c_57,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:18:47 EDT 2024
% 0.13/0.35  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.16  % SZS status Started for theBenchmark.p
% 0.49/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16  
% 0.49/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.16  
% 0.49/1.16  ------  iProver source info
% 0.49/1.16  
% 0.49/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.16  git: non_committed_changes: false
% 0.49/1.16  
% 0.49/1.16  ------ Parsing...successful
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.49/1.16  
% 0.49/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.49/1.16  ------ Proving...
% 0.49/1.16  ------ Problem Properties 
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  clauses                                 9
% 0.49/1.16  conjectures                             1
% 0.49/1.16  EPR                                     6
% 0.49/1.16  Horn                                    9
% 0.49/1.16  unary                                   6
% 0.49/1.16  binary                                  0
% 0.49/1.16  lits                                    18
% 0.49/1.16  lits eq                                 0
% 0.49/1.16  fd_pure                                 0
% 0.49/1.16  fd_pseudo                               0
% 0.49/1.16  fd_cond                                 0
% 0.49/1.16  fd_pseudo_cond                          0
% 0.49/1.16  AC symbols                              0
% 0.49/1.16  
% 0.49/1.16  ------ Schedule dynamic 5 is on 
% 0.49/1.16  
% 0.49/1.16  ------ no equalities: superposition off 
% 0.49/1.16  
% 0.49/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ 
% 0.49/1.16  Current options:
% 0.49/1.16  ------ 
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  ------ Proving...
% 0.49/1.16  
% 0.49/1.16  
% 0.49/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.16  
% 0.49/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.16  
% 0.49/1.16  
%------------------------------------------------------------------------------