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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET853-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n009.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 02:48:48 PM UTC 2026

% Result   : Unsatisfiable 117.60s 16.95s
% Output   : CNFRefutation 117.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   56 (  19 unt;   0 def)
%            Number of atoms       :  155 (  29 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  169 (  70   ~;  99   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn  62   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f381,axiom,
    ! [X2,X0,X1] :
      ( X1 = X0
      | ~ c_lessequals(X1,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ c_lessequals(X1,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    inference(reorient_equations,[],[f381]) ).

fof(f383,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

fof(f1435,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).

fof(f1436,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).

fof(f1437,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != X0
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).

fof(f1438,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),X0,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).

fof(f1442,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X0,X1,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).

fof(f1443,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1444,negated_conjecture,
    c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1445,negated_conjecture,
    c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1446,negated_conjecture,
    v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1447,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1448,negated_conjecture,
    ! [X0] :
      ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | X0 = v_x
      | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1449,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | v_x = X0
      | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))) ),
    inference(reorient_equations,[],[f1448]) ).

tcf(c_1727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X1 )
      | ~ c_lessequals(X1,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    inference(cnf_transformation,[],[f382]) ).

tcf(c_1728,plain,
    ! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
    inference(cnf_transformation,[],[f383]) ).

tcf(c_2013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[],[f1435]) ).

tcf(c_2014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[],[f1436]) ).

tcf(c_2015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X3,X1,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
      | ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
      | ( c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2) != X1 ) ),
    inference(cnf_transformation,[],[f1437]) ).

tcf(c_2016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X3,X1,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
      | ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2),X1,tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[],[f1438]) ).

tcf(c_2020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X0,X1,tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[],[f1442]) ).

tcf(c_2021,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[],[f1443]) ).

tcf(c_2022,negated_conjecture,
    c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[],[f1444]) ).

tcf(c_2023,negated_conjecture,
    c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[],[f1445]) ).

tcf(c_2024,negated_conjecture,
    c_Zorn_Osucc(v_S,v_x,t_a) != v_xa,
    inference(cnf_transformation,[],[f1446]) ).

tcf(c_2025,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[],[f1447]) ).

tcf(c_2026,negated_conjecture,
    ! [X0: $i] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a)))
      | ( X0 = v_x )
      | ~ c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(cnf_transformation,[],[f1449]) ).

tcf(c_21097,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_2020,c_2025]) ).

tcf(c_21112,plain,
    ( ( v_x = v_xa )
    | ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_2026,c_21097]) ).

tcf(c_21113,plain,
    ( ( v_x = v_xa )
    | ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21112,c_2022]) ).

tcf(c_40731,plain,
    ( ( c_Zorn_Osucc(v_S,v_x,t_a) = v_xa )
    | ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_2023,c_1727]) ).

tcf(c_40778,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))),
    inference(forward_subsumption_resolution,[status(thm)],[c_40731,c_2024]) ).

tcf(c_60280,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_2014,c_40778]) ).

tcf(c_60284,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_60280,c_2022,c_2021]) ).

tcf(c_62894,plain,
    ( ( c_Zorn_Osucc(v_S,v_x,t_a) = v_xa )
    | ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_2023,c_1727]) ).

tcf(c_62910,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))),
    inference(forward_subsumption_resolution,[status(thm)],[c_62894,c_2024]) ).

tcf(c_62974,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_2020,c_2025]) ).

tcf(c_63015,plain,
    ( ( v_x = v_xa )
    | ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_2026,c_62974]) ).

tcf(c_63016,plain,
    ( ( v_x = v_xa )
    | ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_63015,c_2022]) ).

tcf(c_69541,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_2013,c_62910]) ).

tcf(c_69550,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_69541,c_2022,c_2021]) ).

tcf(c_69668,plain,
    ! [X0: $i] :
      ( c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x )
      | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
      | ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_2026,c_2016]) ).

tcf(c_69670,plain,
    ! [X0: $i] :
      ( c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x )
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
      | ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_69668,c_2021]) ).

tcf(c_69981,plain,
    ! [X0: $i] :
      ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x )
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_69550,c_69670]) ).

tcf(c_71095,plain,
    ! [X0: $i] :
      ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x )
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(global_subsumption_just,[status(thm)],[c_69981,c_60284,c_69981]) ).

tcf(c_71110,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x )
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_71095,c_62910]) ).

tcf(c_71112,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_71110,c_2022]) ).

tcf(c_71121,plain,
    ( ( v_x = v_xa )
    | ( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ) ),
    inference(superposition,[status(thm)],[c_71112,c_63016]) ).

tcf(c_71128,plain,
    ! [X0: $i] :
      ( c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | ( v_x = v_xa )
      | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_71121,c_2015]) ).

tcf(c_71138,plain,
    ! [X0: $i] :
      ( c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | ( v_x = v_xa )
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_71128,c_2021]) ).

tcf(c_71153,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | ( v_x = v_xa )
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_71138,c_62910]) ).

tcf(c_71155,plain,
    ( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | ( v_x = v_xa ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_71153,c_2022]) ).

tcf(c_71164,plain,
    v_x = v_xa,
    inference(global_subsumption_just,[status(thm)],[c_71155,c_21113,c_71155]) ).

tcf(c_71286,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    inference(demodulation,[status(thm)],[c_2025,c_71164]) ).

tcf(c_71290,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_71286,c_1728]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET853-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n009.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 12:13:58 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 117.60/16.95  % SZS status Started for theBenchmark.p
% 117.60/16.95  % SZS status Unsatisfiable for theBenchmark.p
% 117.60/16.95  
% 117.60/16.95  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 117.60/16.95  
% 117.60/16.95  % ------  iProver source info
% 117.60/16.95  
% 117.60/16.95  % git: date: 2026-07-19 20:42:38 +0200
% 117.60/16.95  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 117.60/16.95  % git: non_committed_changes: false
% 117.60/16.95  
% 117.60/16.95  % ------ Parsing...% successful
% 117.60/16.95  
% 117.60/16.95  
% 117.60/16.95  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 117.60/16.95  
% 117.60/16.95  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 18 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 30 0s  sf_e  pe_s  pe_e % 
% 117.60/16.95  
% 117.60/16.95  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 117.60/16.95  
% 117.60/16.95  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 117.60/16.95  % ------ Proving...
% 117.60/16.95  % ------ Problem Properties 
% 117.60/16.95  
% 117.60/16.95  % 
% 117.60/16.95  % clauses                               310
% 117.60/16.95  % conjectures                           6
% 117.60/16.95  % EPR                                   26
% 117.60/16.95  % Horn                                  275
% 117.60/16.95  % unary                                 81
% 117.60/16.95  % binary                                174
% 117.60/16.95  % lits                                  603
% 117.60/16.95  % lits eq                               165
% 117.60/16.95  % fd_pure                               0
% 117.60/16.95  % fd_pseudo                             0
% 117.60/16.95  % fd_cond                               22
% 117.60/16.95  % fd_pseudo_cond                        40
% 117.60/16.95  % AC symbols                            0
% 117.60/16.95  
% 117.60/16.95  % ------ Input Options Time Limit: Unbounded
% 117.60/16.95  
% 117.60/16.95  
% 117.60/16.95  % ------ 
% 117.60/16.95  % Current options:
% 117.60/16.95  % ------ 
% 117.60/16.95  
% 117.60/16.95  
% 117.60/16.95  % 
% 117.60/16.95  
% 117.60/16.95  % ------ Proving...
% 117.60/16.95  % 
% 117.60/16.95  
% 117.60/16.95  % SZS status Unsatisfiable for theBenchmark.p
% 117.60/16.95  
% 117.60/16.95  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 117.60/16.95  
% 117.60/16.95  
%------------------------------------------------------------------------------