TSTP Solution File: ITP399_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ITP399_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 02:30:48 EDT 2024

% Result   : Theorem 3.94s 1.18s
% Output   : CNFRefutation 3.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    2 (   4 avg)
%            Number of connectives :   13 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   41 (  41 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    8 (   0 sgn   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture0) ).

tff(f2,negated_conjecture,
    ~ 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    inference(negated_conjecture,[],[f1]) ).

tff(f5,axiom,
    'compatible$'('f$','g$'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3) ).

tff(f20,axiom,
    ! [X0: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( 'compatible$'(X0,X1)
     => 'complements$'(X1,'register_pair$'(X0,'complement$'('register_pair$a'(X0,X1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18) ).

tff(f642,plain,
    ~ 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    inference(flattening,[],[f2]) ).

tff(f924,plain,
    ! [X0: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( 'complements$'(X1,'register_pair$'(X0,'complement$'('register_pair$a'(X0,X1))))
      | ~ 'compatible$'(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

tff(f1652,plain,
    ~ 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    inference(cnf_transformation,[],[f642]) ).

tff(f1655,plain,
    'compatible$'('f$','g$'),
    inference(cnf_transformation,[],[f5]) ).

tff(f1662,plain,
    ! [X0: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( 'complements$'(X1,'register_pair$'(X0,'complement$'('register_pair$a'(X0,X1))))
      | ~ 'compatible$'(X0,X1) ),
    inference(cnf_transformation,[],[f924]) ).

cnf(c_52,negated_conjecture,
    ~ 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))),
    inference(cnf_transformation,[],[f1652]) ).

cnf(c_55,plain,
    'compatible$'('f$','g$'),
    inference(cnf_transformation,[],[f1655]) ).

cnf(c_62,plain,
    ( ~ 'compatible$'(X0_147,X0_26)
    | 'complements$'(X0_26,'register_pair$'(X0_147,'complement$'('register_pair$a'(X0_147,X0_26)))) ),
    inference(cnf_transformation,[],[f1662]) ).

cnf(c_760,plain,
    ( ~ 'compatible$'('f$','g$')
    | 'complements$'('g$','register_pair$'('f$','complement$'('register_pair$a'('f$','g$')))) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_761,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_760,c_52,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.15  % Problem  : ITP399_1 : TPTP v8.1.2. Released v8.0.0.
% 0.02/0.16  % Command  : run_iprover %s %d THM
% 0.11/0.36  % Computer : n027.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8042.1875MB
% 0.11/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Thu May  2 22:17:50 EDT 2024
% 0.11/0.36  % CPUTime  : 
% 0.17/0.47  Running first-order theorem proving
% 0.17/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.94/1.18  % SZS status Started for theBenchmark.p
% 3.94/1.18  % SZS status Theorem for theBenchmark.p
% 3.94/1.18  
% 3.94/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.94/1.18  
% 3.94/1.18  ------  iProver source info
% 3.94/1.18  
% 3.94/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.94/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.94/1.18  git: non_committed_changes: false
% 3.94/1.18  
% 3.94/1.18  ------ Parsing...
% 3.94/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.94/1.18  
% 3.94/1.18  
% 3.94/1.18  ------ Preprocessing...
% 3.94/1.18  
% 3.94/1.18  % SZS status Theorem for theBenchmark.p
% 3.94/1.18  
% 3.94/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.94/1.18  
% 3.94/1.18  
%------------------------------------------------------------------------------