TSTP Solution File: CSR031+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR031+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 02:11:12 EDT 2024

% Result   : Theorem 0.77s 1.13s
% Output   : CNFRefutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   28 (  17   ~;   8   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (   2 sgn  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ~ ( individual(X0)
        & collection(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

fof(f6,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

fof(f34,axiom,
    ! [X8,X7] :
      ( disjointwith(X8,X7)
     => collection(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

fof(f56,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query31) ).

fof(f57,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negated_conjecture,[],[f56]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => collection(X0) ),
    inference(rectify,[],[f34]) ).

fof(f100,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(flattening,[],[f57]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f158,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f198,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_52,plain,
    ( ~ individual(X0)
    | ~ collection(X0) ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_54,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_77,plain,
    ( ~ disjointwith(X0,X1)
    | collection(X0) ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_94,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_293,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(subtyping,[status(esa)],[c_94]) ).

cnf(c_298,plain,
    ( ~ disjointwith(X0_13,X1_13)
    | collection(X0_13) ),
    inference(subtyping,[status(esa)],[c_77]) ).

cnf(c_307,plain,
    individual(c_tptptptpcol_16_8398),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_309,plain,
    ( ~ individual(X0_13)
    | ~ collection(X0_13) ),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_311,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(demodulation,[status(thm)],[c_293]) ).

cnf(c_314,plain,
    collection(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[c_298,c_311]) ).

cnf(c_347,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[c_309,c_307]) ).

cnf(c_348,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_347,c_314]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR031+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:05:42 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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
% 0.77/1.13  % SZS status Started for theBenchmark.p
% 0.77/1.13  % SZS status Theorem for theBenchmark.p
% 0.77/1.13  
% 0.77/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.77/1.13  
% 0.77/1.13  ------  iProver source info
% 0.77/1.13  
% 0.77/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.77/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.77/1.13  git: non_committed_changes: false
% 0.77/1.13  
% 0.77/1.13  ------ Parsing...
% 0.77/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.77/1.13  
% 0.77/1.13  
% 0.77/1.13  ------ Preprocessing... sf_s  rm: 18 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.77/1.13  
% 0.77/1.13  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.77/1.13   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.77/1.13  ------ Proving...
% 0.77/1.13  ------ Problem Properties 
% 0.77/1.13  
% 0.77/1.13  
% 0.77/1.13  clauses                                 18
% 0.77/1.13  conjectures                             1
% 0.77/1.13  EPR                                     18
% 0.77/1.13  Horn                                    18
% 0.77/1.13  unary                                   5
% 0.77/1.13  binary                                  12
% 0.77/1.13  lits                                    32
% 0.77/1.13  lits eq                                 0
% 0.77/1.13  fd_pure                                 0
% 0.77/1.13  fd_pseudo                               0
% 0.77/1.13  fd_cond                                 0
% 0.77/1.13  fd_pseudo_cond                          0
% 0.77/1.13  AC symbols                              0
% 0.77/1.13  
% 0.77/1.13  ------ Schedule EPR Horn non eq is on
% 0.77/1.13  
% 0.77/1.13  ------ no equalities: superposition off 
% 0.77/1.13  
% 0.77/1.13  ------ Option_epr_horn Time Limit: Unbounded
% 0.77/1.13  
% 0.77/1.13  
% 0.77/1.13  ------ 
% 0.77/1.13  Current options:
% 0.77/1.13  ------ 
% 0.77/1.13  
% 0.77/1.13  
% 0.77/1.13  
% 0.77/1.13  
% 0.77/1.13  ------ Proving...
% 0.77/1.13  
% 0.77/1.13  
% 0.77/1.13  % SZS status Theorem for theBenchmark.p
% 0.77/1.13  
% 0.77/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.77/1.13  
% 0.77/1.13  
%------------------------------------------------------------------------------