TSTP Solution File: SEU435+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 03:06:15 EDT 2024

% Result   : Theorem 0.48s 1.16s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0,X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
     => ! [X3,X4,X5] :
          ( m1_subset_1(X5,k1_zfmisc_1(X3))
         => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_relset_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
       => ! [X3,X4,X5] :
            ( m1_subset_1(X5,k1_zfmisc_1(X3))
           => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( m1_subset_1(X5,k1_zfmisc_1(X3))
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
     => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).

fof(f61,plain,
    ? [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
          & m1_subset_1(X5,k1_zfmisc_1(X3)) )
      & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(flattening,[],[f83]) ).

fof(f96,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3,X4,X5] :
            ( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
            & m1_subset_1(X5,k1_zfmisc_1(X3)) )
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
   => ( ? [X5,X4,X3] :
          ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
          & m1_subset_1(X5,k1_zfmisc_1(X3)) )
      & m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ( ? [X5,X4,X3] :
        ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
        & m1_subset_1(X5,k1_zfmisc_1(X3)) )
   => ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4)))
      & m1_subset_1(sK5,k1_zfmisc_1(sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4)))
    & m1_subset_1(sK5,k1_zfmisc_1(sK3))
    & m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f61,f97,f96]) ).

fof(f127,plain,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))),
    inference(cnf_transformation,[],[f98]) ).

fof(f128,plain,
    m1_subset_1(sK5,k1_zfmisc_1(sK3)),
    inference(cnf_transformation,[],[f98]) ).

fof(f129,plain,
    ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4))),
    inference(cnf_transformation,[],[f98]) ).

fof(f174,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_49,negated_conjecture,
    ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4))),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_50,negated_conjecture,
    m1_subset_1(sK5,k1_zfmisc_1(sK3)),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_51,negated_conjecture,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_96,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X4))
    | m1_subset_1(a_6_0_relset_2(X1,X2,X0,X4,X5,X3),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_1110,plain,
    k2_zfmisc_1(sK0,sK1) = sP0_iProver_def,
    definition ).

cnf(c_1111,plain,
    k1_zfmisc_1(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_1112,plain,
    k1_zfmisc_1(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_1113,plain,
    k1_zfmisc_1(sK3) = sP3_iProver_def,
    definition ).

cnf(c_1114,plain,
    a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5) = sP4_iProver_def,
    definition ).

cnf(c_1115,plain,
    k1_zfmisc_1(sK4) = sP5_iProver_def,
    definition ).

cnf(c_1116,plain,
    k1_zfmisc_1(sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_1117,negated_conjecture,
    m1_subset_1(sK2,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_1110,c_1111,c_1112]) ).

cnf(c_1118,negated_conjecture,
    m1_subset_1(sK5,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_1113]) ).

cnf(c_1119,negated_conjecture,
    ~ m1_subset_1(sP4_iProver_def,sP6_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_1115,c_1116,c_1114]) ).

cnf(c_2704,plain,
    ( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))))
    | ~ m1_subset_1(sK5,k1_zfmisc_1(sK3))
    | m1_subset_1(sP4_iProver_def,k1_zfmisc_1(k1_zfmisc_1(sK4))) ),
    inference(superposition,[status(thm)],[c_1114,c_96]) ).

cnf(c_2713,plain,
    ( ~ m1_subset_1(sK2,sP2_iProver_def)
    | ~ m1_subset_1(sK5,sP3_iProver_def)
    | m1_subset_1(sP4_iProver_def,sP6_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_2704,c_1110,c_1111,c_1112,c_1113,c_1115,c_1116]) ).

cnf(c_2714,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2713,c_1119,c_1118,c_1117]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n016.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 : Thu May  2 18:21:30 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...
% 0.48/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.16  ------ Proving...
% 0.48/1.16  ------ Problem Properties 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  clauses                                 49
% 0.48/1.16  conjectures                             3
% 0.48/1.16  EPR                                     12
% 0.48/1.16  Horn                                    45
% 0.48/1.16  unary                                   23
% 0.48/1.16  binary                                  11
% 0.48/1.16  lits                                    95
% 0.48/1.16  lits eq                                 16
% 0.48/1.16  fd_pure                                 0
% 0.48/1.16  fd_pseudo                               0
% 0.48/1.16  fd_cond                                 1
% 0.48/1.16  fd_pseudo_cond                          3
% 0.48/1.16  AC symbols                              0
% 0.48/1.16  
% 0.48/1.16  ------ Schedule dynamic 5 is on 
% 0.48/1.16  
% 0.48/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 
% 0.48/1.16  Current options:
% 0.48/1.16  ------ 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Proving...
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16  
% 0.48/1.16  
%------------------------------------------------------------------------------