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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:10:19 PM UTC 2026

% Result   : Theorem 1.60s 1.27s
% Output   : CNFRefutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (  14 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   49 (  23   ~;  19   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   23 (   0 sgn  23   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

fof(f2,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).

fof(f40,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query59) ).

fof(f41,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(negated_conjecture,[status(cth)],[f40]) ).

fof(f56,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(flattening,[],[f73]) ).

fof(f83,plain,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
    & ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f84,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[],[f1]) ).

fof(f85,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f109,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[],[f83]) ).

fof(f110,plain,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_49,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_50,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_74,negated_conjecture,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_75,negated_conjecture,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_82,negated_conjecture,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(subtyping,[status(esa)],[c_75]) ).

tcf(c_89,plain,
    ! [X0_iProver_mtvisible_1: iProver_mtvisible_1,X1_iProver_mtvisible_1: iProver_mtvisible_1] :
      ( mtvisible(X1_iProver_mtvisible_1)
      | ~ mtvisible(X0_iProver_mtvisible_1)
      | ~ genlmt(X0_iProver_mtvisible_1,X1_iProver_mtvisible_1) ),
    inference(subtyping,[status(esa)],[c_65]) ).

tcf(c_91,plain,
    ! [X0_iProver_borderson_1: iProver_borderson_1,X1_iProver_borderson_1: iProver_borderson_1] :
      ( borderson(X1_iProver_borderson_1,X0_iProver_borderson_1)
      | ~ borderson(X0_iProver_borderson_1,X1_iProver_borderson_1) ),
    inference(subtyping,[status(esa)],[c_63]) ).

tcf(c_93,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(subtyping,[status(esa)],[c_50]) ).

tcf(c_94,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(subtyping,[status(esa)],[c_49]) ).

tcf(c_96,negated_conjecture,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_103,plain,
    ! [X0_iProver_mtvisible_1: iProver_mtvisible_1] :
      ( mtvisible(X0_iProver_mtvisible_1)
      | ~ genlmt(c_tptpgeo_spindlecollectormt,X0_iProver_mtvisible_1) ),
    inference(resolution,[status(thm)],[c_89,c_96]) ).

tcf(c_105,plain,
    mtvisible(c_tptpgeo_member5_mt),
    inference(resolution,[status(thm)],[c_103,c_94]) ).

tcf(c_110,plain,
    borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
    inference(resolution,[status(thm)],[c_105,c_93]) ).

tcf(c_112,plain,
    borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(resolution,[status(thm)],[c_110,c_91]) ).

tcf(c_113,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_112,c_74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n003.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 08:45:07 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 1.60/1.27  % SZS status Started for theBenchmark.p
% 1.60/1.27  % SZS status Theorem for theBenchmark.p
% 1.60/1.27  
% 1.60/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.60/1.27  
% 1.60/1.27  % ------  iProver source info
% 1.60/1.27  
% 1.60/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 1.60/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.60/1.27  % git: non_committed_changes: false
% 1.60/1.27  
% 1.60/1.27  % ------ Parsing...
% 1.60/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_horn
% 1.60/1.27  % 
% 1.60/1.27  
% 1.60/1.27  % ------ Preprocessing... sf_s  rm: 8 0s  sf_e  sf_s  rm: 0 0s  sf_e % 
% 1.60/1.27  
% 1.60/1.27  % ------ Preprocessing...% ------  preprocesses with Option_epr_horn
% 1.60/1.27   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.60/1.27  % ------ Proving...
% 1.60/1.27  % ------ Problem Properties 
% 1.60/1.27  
% 1.60/1.27  % 
% 1.60/1.27  % clauses                               13
% 1.60/1.27  % conjectures                           2
% 1.60/1.27  % EPR                                   13
% 1.60/1.27  % Horn                                  13
% 1.60/1.27  % unary                                 6
% 1.60/1.27  % binary                                5
% 1.60/1.27  % lits                                  22
% 1.60/1.27  % lits eq                               0
% 1.60/1.27  % fd_pure                               0
% 1.60/1.27  % fd_pseudo                             0
% 1.60/1.27  % fd_cond                               0
% 1.60/1.27  % fd_pseudo_cond                        0
% 1.60/1.27  % AC symbols                            0
% 1.60/1.27  
% 1.60/1.27  % ------ Schedule EPR Horn non eq is on
% 1.60/1.27  
% 1.60/1.27  % ------ no equalities: superposition off 
% 1.60/1.27  
% 1.60/1.27  % ------ Option_epr_horn Time Limit: Unbounded
% 1.60/1.27  
% 1.60/1.27  
% 1.60/1.27  % ------ 
% 1.60/1.27  % Current options:
% 1.60/1.27  % ------ 
% 1.60/1.27  
% 1.60/1.27  
% 1.60/1.27  % 
% 1.60/1.27  
% 1.60/1.27  % ------ Proving...
% 1.60/1.27  % 
% 1.60/1.27  
% 1.60/1.27  % SZS status Theorem for theBenchmark.p
% 1.60/1.27  
% 1.60/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.27  
% 1.60/1.27  
%------------------------------------------------------------------------------