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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n008.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 02:12:54 PM UTC 2026

% Result   : Unsatisfiable 1.97s 11.52s
% Output   : CNFRefutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   28 (  13 unt;   4 def)
%            Number of atoms       :   68 (   6 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   45 (  24   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn  29   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X2,X0,X1] :
      ( greater(position(X0,X1),position(X0,X2))
      | ~ greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ organization(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_30) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ greater(age(X0,X1),age(X0,X2))
      | ~ organization(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_32) ).

fof(f15,negated_conjecture,
    organization(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_33) ).

fof(f16,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_34) ).

fof(f17,negated_conjecture,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_35) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(position(X0,X1),position(X0,X2))
      | ~ organization(X0)
      | ~ greater(external_ties(X0,X1),external_ties(X0,X2)) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ organization(X0)
      | ~ greater(age(X0,X1),age(X0,X2)) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_80,negated_conjecture,
    organization(sk1),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_81,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_82,negated_conjecture,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ greater(age(X0,X1),age(X0,X2))
      | ( X0 != sk1 ) ),
    inference(resolution_lifted,[status(thm)],[c_79,c_80]) ).

tcf(c_259,plain,
    ! [X0: $i,X1: $i] :
      ( greater(external_ties(sk1,X0),external_ties(sk1,X1))
      | ~ greater(age(sk1,X0),age(sk1,X1)) ),
    inference(unflattening,[status(thm)],[c_258]) ).

tcf(c_276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( greater(position(X0,X1),position(X0,X2))
      | ~ greater(external_ties(X0,X1),external_ties(X0,X2))
      | ( X0 != sk1 ) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_80]) ).

tcf(c_277,plain,
    ! [X0: $i,X1: $i] :
      ( greater(position(sk1,X0),position(sk1,X1))
      | ~ greater(external_ties(sk1,X0),external_ties(sk1,X1)) ),
    inference(unflattening,[status(thm)],[c_276]) ).

tcf(c_356,definition,
    iPr_def_10 = position(sk1,sk3),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_357,definition,
    iPr_def_11 = position(sk1,sk2),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_358,definition,
    iPr_def_12 = age(sk1,sk3),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_359,definition,
    iPr_def_13 = age(sk1,sk2),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_360,plain,
    ! [X0: $i,X1: $i] :
      ( greater(position(sk1,X0),position(sk1,X1))
      | ~ greater(external_ties(sk1,X0),external_ties(sk1,X1)) ),
    inference(demodulation,[status(thm)],[c_277]) ).

tcf(c_362,plain,
    ! [X0: $i,X1: $i] :
      ( greater(external_ties(sk1,X0),external_ties(sk1,X1))
      | ~ greater(age(sk1,X0),age(sk1,X1)) ),
    inference(demodulation,[status(thm)],[c_259]) ).

tcf(c_363,negated_conjecture,
    ~ greater(iPr_def_10,iPr_def_11),
    inference(demodulation,[status(thm)],[c_82,c_357,c_356]) ).

tcf(c_364,negated_conjecture,
    greater(iPr_def_12,iPr_def_13),
    inference(demodulation,[status(thm)],[c_81,c_359,c_358]) ).

tcf(c_535,plain,
    ! [X0: $i] :
      ( greater(external_ties(sk1,sk3),external_ties(sk1,X0))
      | ~ greater(iPr_def_12,age(sk1,X0)) ),
    inference(superposition,[status(thm)],[c_358,c_362]) ).

tcf(c_708,plain,
    ! [X0: $i] :
      ( greater(position(sk1,sk3),position(sk1,X0))
      | ~ greater(iPr_def_12,age(sk1,X0)) ),
    inference(superposition,[status(thm)],[c_535,c_360]) ).

tcf(c_709,plain,
    ! [X0: $i] :
      ( greater(iPr_def_10,position(sk1,X0))
      | ~ greater(iPr_def_12,age(sk1,X0)) ),
    inference(light_normalisation,[status(thm)],[c_708,c_356]) ).

tcf(c_2023,plain,
    ( greater(iPr_def_10,position(sk1,sk2))
    | ~ greater(iPr_def_12,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_359,c_709]) ).

tcf(c_2024,plain,
    ( greater(iPr_def_10,iPr_def_11)
    | ~ greater(iPr_def_12,iPr_def_13) ),
    inference(light_normalisation,[status(thm)],[c_2023,c_357]) ).

tcf(c_2025,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2024,c_363,c_364]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.61  % Computer : n008.cluster.edu
% 0.11/10.61  % Model    : x86_64 x86_64
% 0.11/10.61  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.61  % Memory   : 8046.5625MB
% 0.11/10.61  % OS       : Linux 6.8.0-71-generic
% 0.11/10.61  % CPULimit : 300
% 0.11/10.61  % WCLimit  : 300
% 0.11/10.61  % DateTime : Thu Sep 24 01:12:41 UTC 2026
% 0.11/10.61  % CPUTime  : 
% 0.11/10.61  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.64  Running first-order theorem proving
% 0.11/10.64  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
% 0.11/10.66  
% 0.11/10.66  % ======== iProver multi-core TPTP/SMT =========
% 0.11/10.66  
% 0.11/10.66  % Detected problem language: tptp
% 0.11/10.67  % Proving...
% 1.97/11.52  % SZS status Started for theBenchmark.p
% 1.97/11.52  % SZS status Unsatisfiable for theBenchmark.p
% 1.97/11.52  
% 1.97/11.52  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.97/11.52  
% 1.97/11.52  % ------  iProver source info
% 1.97/11.52  
% 1.97/11.52  % git: date: 2026-07-19 20:42:38 +0200
% 1.97/11.52  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.97/11.52  % git: non_committed_changes: false
% 1.97/11.52  
% 1.97/11.52  % ------ Parsing...% successful
% 1.97/11.52  
% 1.97/11.52  
% 1.97/11.52  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.97/11.52  
% 1.97/11.52  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 1.97/11.52  
% 1.97/11.52  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.97/11.52  
% 1.97/11.52  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.97/11.52  % ------ Proving...
% 1.97/11.52  % ------ Problem Properties 
% 1.97/11.52  
% 1.97/11.52  % 
% 1.97/11.52  % clauses                               12
% 1.97/11.52  % conjectures                           2
% 1.97/11.52  % EPR                                   5
% 1.97/11.52  % Horn                                  11
% 1.97/11.52  % unary                                 6
% 1.97/11.52  % binary                                4
% 1.97/11.52  % lits                                  20
% 1.97/11.52  % lits eq                               7
% 1.97/11.52  % fd_pure                               0
% 1.97/11.52  % fd_pseudo                             0
% 1.97/11.52  % fd_cond                               0
% 1.97/11.52  % fd_pseudo_cond                        1
% 1.97/11.52  % AC symbols                            0
% 1.97/11.52  
% 1.97/11.52  % ------ Schedule dynamic 5 is on 
% 1.97/11.52  
% 1.97/11.52  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.97/11.52  
% 1.97/11.52  
% 1.97/11.52  % ------ 
% 1.97/11.52  % Current options:
% 1.97/11.52  % ------ 
% 1.97/11.52  
% 1.97/11.52  
% 1.97/11.52  % 
% 1.97/11.52  
% 1.97/11.52  % ------ Proving...
% 1.97/11.52  % 
% 1.97/11.52  
% 1.97/11.52  % SZS status Unsatisfiable for theBenchmark.p
% 1.97/11.52  
% 1.97/11.52  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.97/11.52  
% 1.97/11.52  
%------------------------------------------------------------------------------