TSTP Solution File: SET913+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET913+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 : Thu Aug 31 15:10:36 EDT 2023

% Result   : Theorem 1.48s 1.16s
% Output   : CNFRefutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  12   ~;   4   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn;  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,conjecture,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_zfmisc_1) ).

fof(f6,negated_conjecture,
    ~ ! [X0,X1] :
        ~ ( in(X0,X1)
          & disjoint(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_zfmisc_1) ).

fof(f10,plain,
    ? [X0,X1] :
      ( in(X0,X1)
      & disjoint(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ disjoint(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f16,plain,
    ( ? [X0,X1] :
        ( in(X0,X1)
        & disjoint(singleton(X0),X1) )
   => ( in(sK2,sK3)
      & disjoint(singleton(sK2),sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ( in(sK2,sK3)
    & disjoint(singleton(sK2),sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f10,f16]) ).

fof(f22,plain,
    disjoint(singleton(sK2),sK3),
    inference(cnf_transformation,[],[f17]) ).

fof(f23,plain,
    in(sK2,sK3),
    inference(cnf_transformation,[],[f17]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ disjoint(singleton(X0),X1) ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_53,negated_conjecture,
    in(sK2,sK3),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_54,negated_conjecture,
    disjoint(singleton(sK2),sK3),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_55,plain,
    ( ~ disjoint(singleton(X0),X1)
    | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_95,plain,
    ( ~ disjoint(singleton(sK2),sK3)
    | ~ in(sK2,sK3) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_96,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_95,c_54,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET913+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n014.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 : Sat Aug 26 09:35:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.48/1.16  % SZS status Started for theBenchmark.p
% 1.48/1.16  % SZS status Theorem for theBenchmark.p
% 1.48/1.16  
% 1.48/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.48/1.16  
% 1.48/1.16  ------  iProver source info
% 1.48/1.16  
% 1.48/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.48/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.48/1.16  git: non_committed_changes: false
% 1.48/1.16  git: last_make_outside_of_git: false
% 1.48/1.16  
% 1.48/1.16  ------ Parsing...
% 1.48/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.48/1.16  
% 1.48/1.16  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.48/1.16  
% 1.48/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.48/1.16  ------ Proving...
% 1.48/1.16  ------ Problem Properties 
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  clauses                                 5
% 1.48/1.16  conjectures                             2
% 1.48/1.16  EPR                                     3
% 1.48/1.16  Horn                                    5
% 1.48/1.16  unary                                   2
% 1.48/1.16  binary                                  3
% 1.48/1.16  lits                                    8
% 1.48/1.16  lits eq                                 0
% 1.48/1.16  fd_pure                                 0
% 1.48/1.16  fd_pseudo                               0
% 1.48/1.16  fd_cond                                 0
% 1.48/1.16  fd_pseudo_cond                          0
% 1.48/1.16  AC symbols                              0
% 1.48/1.16  
% 1.48/1.16  ------ Schedule dynamic 5 is on 
% 1.48/1.16  
% 1.48/1.16  ------ no equalities: superposition off 
% 1.48/1.16  
% 1.48/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  ------ 
% 1.48/1.16  Current options:
% 1.48/1.16  ------ 
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  ------ Proving...
% 1.48/1.16  
% 1.48/1.16  
% 1.48/1.16  % SZS status Theorem for theBenchmark.p
% 1.48/1.16  
% 1.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.48/1.16  
% 1.48/1.16  
%------------------------------------------------------------------------------