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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n013.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 01:04:17 PM UTC 2026

% Result   : Unsatisfiable 3.82s 6.35s
% Output   : CNFRefutation 3.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   34 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   31 (  17   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn  13   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1436,axiom,
    ! [X0,X1] :
      ( c_UNITY_Ototalize(X0,X1) = X0
      | ~ c_UNITY_Oall__total(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).

fof(f1437,axiom,
    ! [X0,X1] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).

fof(f1450,negated_conjecture,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) != v_F ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1451,plain,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | v_F != c_UNITY_Ototalize(v_F,t_a) ),
    inference(reorient_equations,[],[f1450]) ).

fof(f1452,negated_conjecture,
    ( c_UNITY_Ototalize(v_F,t_a) = v_F
    | c_UNITY_Oall__total(v_F,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1453,plain,
    ( v_F = c_UNITY_Ototalize(v_F,t_a)
    | c_UNITY_Oall__total(v_F,t_a) ),
    inference(reorient_equations,[],[f1452]) ).

tcf(c_2013,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_UNITY_Ototalize(X0,X1) = X0 )
      | ~ c_UNITY_Oall__total(X0,X1) ),
    inference(cnf_transformation,[],[f1436]) ).

tcf(c_2014,plain,
    ! [X0: $i,X1: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
    inference(cnf_transformation,[],[f1437]) ).

tcf(c_2023,negated_conjecture,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | ( c_UNITY_Ototalize(v_F,t_a) != v_F ) ),
    inference(cnf_transformation,[],[f1451]) ).

tcf(c_2024,negated_conjecture,
    ( c_UNITY_Oall__total(v_F,t_a)
    | ( c_UNITY_Ototalize(v_F,t_a) = v_F ) ),
    inference(cnf_transformation,[],[f1453]) ).

tcf(c_2319,plain,
    ( ( c_UNITY_Ototalize(v_F,t_a) != v_F )
    | ~ c_UNITY_Oall__total(v_F,t_a) ),
    inference(prop_impl_just,[status(thm)],[c_2023]) ).

tcf(c_2320,plain,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | ( c_UNITY_Ototalize(v_F,t_a) != v_F ) ),
    inference(renaming,[status(thm)],[c_2319]) ).

tcf(c_2321,plain,
    ( ( c_UNITY_Ototalize(v_F,t_a) = v_F )
    | c_UNITY_Oall__total(v_F,t_a) ),
    inference(prop_impl_just,[status(thm)],[c_2024]) ).

tcf(c_2322,plain,
    ( c_UNITY_Oall__total(v_F,t_a)
    | ( c_UNITY_Ototalize(v_F,t_a) = v_F ) ),
    inference(renaming,[status(thm)],[c_2321]) ).

tcf(c_2367,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_UNITY_Ototalize(X0,X1) = X0 )
      | ~ c_UNITY_Oall__total(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_2013]) ).

tcf(c_5478,plain,
    c_UNITY_Ototalize(v_F,t_a) = v_F,
    inference(forward_subsumption_resolution,[status(thm)],[c_2322,c_2367]) ).

tcf(c_5482,plain,
    ~ c_UNITY_Oall__total(v_F,t_a),
    inference(backward_subsumption_resolution,[status(thm)],[c_2320,c_5478]) ).

tcf(c_8441,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != t_a )
      | ( c_UNITY_Ototalize(X0,X1) != v_F ) ),
    inference(resolution_lifted,[status(thm)],[c_2014,c_5482]) ).

tcf(c_8442,plain,
    ! [X0: $i] : c_UNITY_Ototalize(X0,t_a) != v_F,
    inference(unflattening,[status(thm)],[c_8441]) ).

tcf(c_8449,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_5478,c_8442]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.39  % Computer : n013.cluster.edu
% 0.11/5.39  % Model    : x86_64 x86_64
% 0.11/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39  % Memory   : 8046.5625MB
% 0.11/5.39  % OS       : Linux 6.8.0-71-generic
% 0.11/5.39  % CPULimit : 300
% 0.11/5.39  % WCLimit  : 300
% 0.11/5.39  % DateTime : Fri Sep 25 07:44:46 UTC 2026
% 0.15/5.40  % CPUTime  : 
% 0.15/5.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.44  Running first-order theorem proving
% 0.15/5.44  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
% 0.15/5.45  
% 0.15/5.45  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.45  
% 0.15/5.45  % Detected problem language: tptp
% 0.15/5.47  % Proving...
% 3.82/6.35  % SZS status Started for theBenchmark.p
% 3.82/6.35  % SZS status Unsatisfiable for theBenchmark.p
% 3.82/6.35  
% 3.82/6.35  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.82/6.35  
% 3.82/6.35  % ------  iProver source info
% 3.82/6.35  
% 3.82/6.35  % git: date: 2026-07-19 20:42:38 +0200
% 3.82/6.35  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.82/6.35  % git: non_committed_changes: false
% 3.82/6.35  
% 3.82/6.35  % ------ Parsing...% successful
% 3.82/6.35  
% 3.82/6.35  
% 3.82/6.35  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.82/6.35  
% 3.82/6.35  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 18 0s  sf_e  pe_s  pe:1:0s% 
% 3.82/6.35  
% 3.82/6.35  % SZS status Unsatisfiable for theBenchmark.p
% 3.82/6.35  
% 3.82/6.35  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/6.35  
% 3.82/6.35  
%------------------------------------------------------------------------------