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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n020.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 4.12s 11.28s
% Output   : CNFRefutation 4.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   33 (  13 unt;   0 def)
%            Number of atoms       :   59 (   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(f104,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_104) ).

fof(f407,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_407) ).

fof(f900,axiom,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_900) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query109) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1141,plain,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
    & ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1142,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f1143,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(flattening,[],[f1142]) ).

fof(f1144,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(ennf_transformation,[],[f900]) ).

fof(f1147,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f1158,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[],[f1141]) ).

fof(f1159,plain,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[],[f1141]) ).

fof(f1160,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f1143]) ).

fof(f1162,plain,
    ! [X0,X1] :
      ( ~ borderson(X0,X1)
      | borderson(X1,X0) ),
    inference(cnf_transformation,[],[f1144]) ).

fof(f1165,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    inference(cnf_transformation,[],[f1147]) ).

fof(f1173,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[],[f407]) ).

tcf(c_49,negated_conjecture,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[],[f1159]) ).

tcf(c_50,negated_conjecture,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[],[f1158]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f1160]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(cnf_transformation,[],[f1162]) ).

tcf(c_56,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(cnf_transformation,[],[f1165]) ).

tcf(c_64,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[],[f1173]) ).

tcf(c_138,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(subtyping,[status(esa)],[c_64]) ).

tcf(c_142,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(subtyping,[status(esa)],[c_56]) ).

tcf(c_143,plain,
    ! [X0_iProver_borderson_2: iProver_borderson_2,X1_iProver_borderson_2: iProver_borderson_2] :
      ( borderson(X1_iProver_borderson_2,X0_iProver_borderson_2)
      | ~ borderson(X0_iProver_borderson_2,X1_iProver_borderson_2) ),
    inference(subtyping,[status(esa)],[c_53]) ).

tcf(c_145,plain,
    ! [X0_iProver_genlmt_2: iProver_genlmt_2,X1_iProver_genlmt_2: iProver_genlmt_2] :
      ( mtvisible(X1_iProver_genlmt_2)
      | ~ mtvisible(X0_iProver_genlmt_2)
      | ~ genlmt(X0_iProver_genlmt_2,X1_iProver_genlmt_2) ),
    inference(subtyping,[status(esa)],[c_51]) ).

tcf(c_146,negated_conjecture,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(subtyping,[status(esa)],[c_50]) ).

tcf(c_149,plain,
    ! [X0_iProver_genlmt_2: iProver_genlmt_2] :
      ( mtvisible(X0_iProver_genlmt_2)
      | ~ genlmt(c_tptpgeo_spindlecollectormt,X0_iProver_genlmt_2) ),
    inference(resolution,[status(thm)],[c_145,c_146]) ).

tcf(c_152,plain,
    mtvisible(c_tptpgeo_member5_mt),
    inference(resolution,[status(thm)],[c_149,c_138]) ).

tcf(c_158,plain,
    borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
    inference(resolution,[status(thm)],[c_152,c_142]) ).

tcf(c_160,plain,
    borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(resolution,[status(thm)],[c_158,c_143]) ).

tcf(c_161,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_160,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.37  % Computer : n020.cluster.edu
% 0.09/10.37  % Model    : x86_64 x86_64
% 0.09/10.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37  % Memory   : 8046.5625MB
% 0.09/10.37  % OS       : Linux 6.8.0-71-generic
% 0.09/10.37  % CPULimit : 300
% 0.09/10.37  % WCLimit  : 300
% 0.09/10.37  % DateTime : Fri Sep 25 08:45:16 UTC 2026
% 0.09/10.38  % CPUTime  : 
% 0.09/10.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.41  Running first-order theorem proving
% 0.14/10.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.42  
% 0.14/10.42  % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.42  
% 0.14/10.42  % Detected problem language: tptp
% 0.14/10.43  % Proving...
% 4.12/11.28  % SZS status Started for theBenchmark.p
% 4.12/11.28  % SZS status Theorem for theBenchmark.p
% 4.12/11.28  
% 4.12/11.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.12/11.28  
% 4.12/11.28  % ------  iProver source info
% 4.12/11.28  
% 4.12/11.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.12/11.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.12/11.28  % git: non_committed_changes: false
% 4.12/11.28  
% 4.12/11.28  % ------ Parsing...
% 4.12/11.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_horn
% 4.12/11.28  % 
% 4.12/11.28  
% 4.12/11.28  % ------ Preprocessing... sf_s  rm: 9 0s  sf_e  sf_s  rm: 0 0s  sf_e % 
% 4.12/11.28  
% 4.12/11.28  % ------ Preprocessing...% ------  preprocesses with Option_epr_horn
% 4.12/11.28   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.12/11.28  % ------ Proving...
% 4.12/11.28  % ------ Problem Properties 
% 4.12/11.28  
% 4.12/11.28  % 
% 4.12/11.28  % clauses                               10
% 4.12/11.28  % conjectures                           2
% 4.12/11.28  % EPR                                   10
% 4.12/11.28  % Horn                                  10
% 4.12/11.28  % unary                                 6
% 4.12/11.28  % binary                                2
% 4.12/11.28  % lits                                  16
% 4.12/11.28  % lits eq                               0
% 4.12/11.28  % fd_pure                               0
% 4.12/11.28  % fd_pseudo                             0
% 4.12/11.28  % fd_cond                               0
% 4.12/11.28  % fd_pseudo_cond                        0
% 4.12/11.28  % AC symbols                            0
% 4.12/11.28  
% 4.12/11.28  % ------ Schedule EPR Horn non eq is on
% 4.12/11.28  
% 4.12/11.28  % ------ no equalities: superposition off 
% 4.12/11.28  
% 4.12/11.28  % ------ Option_epr_horn Time Limit: Unbounded
% 4.12/11.28  
% 4.12/11.28  
% 4.12/11.28  % ------ 
% 4.12/11.28  % Current options:
% 4.12/11.28  % ------ 
% 4.12/11.28  
% 4.12/11.28  
% 4.12/11.28  % 
% 4.12/11.28  
% 4.12/11.28  % ------ Proving...
% 4.12/11.28  % 
% 4.12/11.28  
% 4.12/11.28  % SZS status Theorem for theBenchmark.p
% 4.12/11.28  
% 4.12/11.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.12/11.28  
% 4.12/11.28  
%------------------------------------------------------------------------------