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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 : Sun Sep 27 08:37:11 AM UTC 2026

% Result   : Unsatisfiable 3.29s 1.45s
% Output   : CNFRefutation 3.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   54 (  16 unt;   0 def)
%            Number of atoms       :  134 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  147 (  67   ~;  80   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   89 (   0 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cls_Set_OsubsetI_0,axiom,
    ! [VAR_0,VAR_1,VAR_2] :
      ( c_lessequals(VAR_0,VAR_1,tc_set(VAR_2))
      | c_in(c_Main_OsubsetI__1(VAR_0,VAR_1,VAR_2),VAR_0,VAR_2) ),
    file('theBenchmark.p',cls_Set_OsubsetI_0) ).

cnf(c_1,plain,
    ( c_lessequals(A,B,tc_set(C))
    | c_in(c_Main_OsubsetI__1(A,B,C),A,C) ),
    inference(clausify,[status(thm)],[cls_Set_OsubsetI_0]) ).

fof(cls_Set_OsubsetD_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( c_in(VAR_0,VAR_3,VAR_2)
      | ~ c_lessequals(VAR_1,VAR_3,tc_set(VAR_2))
      | ~ c_in(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',cls_Set_OsubsetD_0) ).

cnf(c_2,plain,
    ( c_in(A,D,C)
    | ~ c_lessequals(B,D,tc_set(C))
    | ~ c_in(A,B,C) ),
    inference(clausify,[status(thm)],[cls_Set_OsubsetD_0]) ).

fof(cls_Set_OsubsetI_1,axiom,
    ! [VAR_0,VAR_1,VAR_2] :
      ( c_lessequals(VAR_0,VAR_1,tc_set(VAR_2))
      | ~ c_in(c_Main_OsubsetI__1(VAR_0,VAR_1,VAR_2),VAR_1,VAR_2) ),
    file('theBenchmark.p',cls_Set_OsubsetI_1) ).

cnf(c_3,plain,
    ( c_lessequals(A,B,tc_set(C))
    | ~ c_in(c_Main_OsubsetI__1(A,B,C),B,C) ),
    inference(clausify,[status(thm)],[cls_Set_OsubsetI_1]) ).

fof(cls_Zorn_Ochain__extend_1,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( c_in(c_union(c_insert(VAR_0,c_emptyset,tc_set(VAR_2)),VAR_3,tc_set(VAR_2)),c_Zorn_Ochain(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(VAR_3,VAR_0,VAR_2),VAR_0,tc_set(VAR_2))
      | ~ c_in(VAR_3,c_Zorn_Ochain(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
      | ~ c_in(VAR_0,VAR_1,tc_set(VAR_2)) ),
    file('theBenchmark.p',cls_Zorn_Ochain__extend_1) ).

cnf(c_4,plain,
    ( c_in(c_union(c_insert(A,c_emptyset,tc_set(C)),D,tc_set(C)),c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(D,A,C),A,tc_set(C))
    | ~ c_in(D,c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | ~ c_in(A,B,tc_set(C)) ),
    inference(clausify,[status(thm)],[cls_Zorn_Ochain__extend_1]) ).

fof(cls_Zorn_Omaxchain__super__lemma_1,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( c_in(VAR_0,VAR_5,VAR_2)
      | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(VAR_3,VAR_5,VAR_2),VAR_5,tc_set(VAR_2))
      | ~ c_in(c_union(c_insert(VAR_1,c_emptyset,tc_set(VAR_2)),VAR_3,tc_set(VAR_2)),c_Zorn_Ochain(VAR_4,VAR_2),tc_set(tc_set(VAR_2)))
      | ~ c_in(VAR_3,c_Zorn_Omaxchain(VAR_4,VAR_2),tc_set(tc_set(VAR_2)))
      | ~ c_in(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).

cnf(c_5,plain,
    ( c_in(A,F,C)
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(D,F,C),F,tc_set(C))
    | ~ c_in(c_union(c_insert(B,c_emptyset,tc_set(C)),D,tc_set(C)),c_Zorn_Ochain(E,C),tc_set(tc_set(C)))
    | ~ c_in(D,c_Zorn_Omaxchain(E,C),tc_set(tc_set(C)))
    | ~ c_in(A,B,C) ),
    inference(clausify,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_1]) ).

fof(cls_conjecture_4,axiom,
    c_lessequals(v_y,v_x,tc_set(t_a)),
    file('theBenchmark.p',cls_conjecture_4) ).

cnf(c_6,plain,
    c_lessequals(v_y,v_x,tc_set(t_a)),
    inference(clausify,[status(thm)],[cls_conjecture_4]) ).

fof(cls_conjecture_7,axiom,
    ! [VAR_0] :
      ( ~ c_in(VAR_0,v_c,tc_set(t_a))
      | c_lessequals(VAR_0,v_y,tc_set(t_a)) ),
    file('theBenchmark.p',cls_conjecture_7) ).

cnf(c_7,plain,
    ( ~ c_in(A,v_c,tc_set(t_a))
    | c_lessequals(A,v_y,tc_set(t_a)) ),
    inference(clausify,[status(thm)],[cls_conjecture_7]) ).

cnf(c_8,plain,
    ( c_in(B,v_y,t_a)
    | ~ c_in(B,A,t_a)
    | ~ c_in(A,v_c,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_7,c_2]) ).

cnf(c_10,plain,
    ( c_in(B,v_y,t_a)
    | ~ c_in(c_union(c_insert(C,c_emptyset,tc_set(t_a)),A,tc_set(t_a)),c_Zorn_Ochain(D,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(A,c_Zorn_Omaxchain(D,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(B,C,t_a)
    | ~ c_in(c_Zorn_Omaxchain__super__lemma__1(A,v_y,t_a),v_c,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_7,c_5]) ).

cnf(c_11,plain,
    ( c_in(A,v_x,t_a)
    | ~ c_in(A,v_y,t_a) ),
    inference(resolve,[status(thm)],[c_6,c_2]) ).

cnf(c_14,plain,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(D,A,C),A,C),c_Zorn_Ochain__extend__1(D,A,C),C)
    | c_in(c_union(c_insert(A,c_emptyset,tc_set(C)),D,tc_set(C)),c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | ~ c_in(D,c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | ~ c_in(A,B,tc_set(C)) ),
    inference(resolve,[status(thm)],[c_4,c_1]) ).

cnf(c_15,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(D,A,C),A,C),A,C)
    | c_in(c_union(c_insert(A,c_emptyset,tc_set(C)),D,tc_set(C)),c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | ~ c_in(D,c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | ~ c_in(A,B,tc_set(C)) ),
    inference(resolve,[status(thm)],[c_4,c_3]) ).

fof(cls_conjecture_6,axiom,
    ~ c_in(v_xa,v_y,t_a),
    file('theBenchmark.p',cls_conjecture_6) ).

cnf(c_18,plain,
    ~ c_in(v_xa,v_y,t_a),
    inference(clausify,[status(thm)],[cls_conjecture_6]) ).

fof(cls_conjecture_5,axiom,
    c_in(v_xa,v_x,t_a),
    file('theBenchmark.p',cls_conjecture_5) ).

cnf(c_19,plain,
    c_in(v_xa,v_x,t_a),
    inference(clausify,[status(thm)],[cls_conjecture_5]) ).

fof(cls_conjecture_3,axiom,
    c_in(v_x,v_S,tc_set(t_a)),
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(c_20,plain,
    c_in(v_x,v_S,tc_set(t_a)),
    inference(clausify,[status(thm)],[cls_conjecture_3]) ).

fof(cls_conjecture_1,axiom,
    c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    file('theBenchmark.p',cls_conjecture_1) ).

cnf(c_21,plain,
    c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(clausify,[status(thm)],[cls_conjecture_1]) ).

fof(cls_conjecture_0,axiom,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('theBenchmark.p',cls_conjecture_0) ).

cnf(c_22,plain,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(clausify,[status(thm)],[cls_conjecture_0]) ).

fof(cls_Zorn_Omaxchain__super__lemma_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( c_in(c_Zorn_Omaxchain__super__lemma__1(VAR_3,VAR_5,VAR_2),VAR_3,tc_set(VAR_2))
      | c_in(VAR_0,VAR_5,VAR_2)
      | ~ c_in(c_union(c_insert(VAR_1,c_emptyset,tc_set(VAR_2)),VAR_3,tc_set(VAR_2)),c_Zorn_Ochain(VAR_4,VAR_2),tc_set(tc_set(VAR_2)))
      | ~ c_in(VAR_3,c_Zorn_Omaxchain(VAR_4,VAR_2),tc_set(tc_set(VAR_2)))
      | ~ c_in(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).

cnf(c_23,plain,
    ( c_in(c_Zorn_Omaxchain__super__lemma__1(D,F,C),D,tc_set(C))
    | c_in(A,F,C)
    | ~ c_in(c_union(c_insert(B,c_emptyset,tc_set(C)),D,tc_set(C)),c_Zorn_Ochain(E,C),tc_set(tc_set(C)))
    | ~ c_in(D,c_Zorn_Omaxchain(E,C),tc_set(tc_set(C)))
    | ~ c_in(A,B,C) ),
    inference(clausify,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_0]) ).

fof(cls_Zorn_Ochain__extend_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( c_in(c_union(c_insert(VAR_0,c_emptyset,tc_set(VAR_2)),VAR_3,tc_set(VAR_2)),c_Zorn_Ochain(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
      | c_in(c_Zorn_Ochain__extend__1(VAR_3,VAR_0,VAR_2),VAR_3,tc_set(VAR_2))
      | ~ c_in(VAR_3,c_Zorn_Ochain(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
      | ~ c_in(VAR_0,VAR_1,tc_set(VAR_2)) ),
    file('theBenchmark.p',cls_Zorn_Ochain__extend_0) ).

cnf(c_24,plain,
    ( c_in(c_union(c_insert(A,c_emptyset,tc_set(C)),D,tc_set(C)),c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | c_in(c_Zorn_Ochain__extend__1(D,A,C),D,tc_set(C))
    | ~ c_in(D,c_Zorn_Ochain(B,C),tc_set(tc_set(C)))
    | ~ c_in(A,B,tc_set(C)) ),
    inference(clausify,[status(thm)],[cls_Zorn_Ochain__extend_0]) ).

cnf(c_889,plain,
    ( c_in(v_xa,v_y,t_a)
    | ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),A,tc_set(t_a)),c_Zorn_Ochain(B,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(A,c_Zorn_Omaxchain(B,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(c_Zorn_Omaxchain__super__lemma__1(A,v_y,t_a),v_c,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_19,c_10]) ).

cnf(c_29,plain,
    ( ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),A,tc_set(t_a)),c_Zorn_Ochain(B,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(A,c_Zorn_Omaxchain(B,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(c_Zorn_Omaxchain__super__lemma__1(A,v_y,t_a),v_c,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_18,c_889]) ).

cnf(c_35,plain,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(A,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(A,v_x,t_a),t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),A,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(A,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_20,c_14]) ).

cnf(c_40,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,A,t_a),A,t_a),A,t_a)
    | c_in(c_union(c_insert(A,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(A,v_S,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_21,c_15]) ).

cnf(c_56,plain,
    ( c_in(c_Zorn_Omaxchain__super__lemma__1(A,C,t_a),A,tc_set(t_a))
    | c_in(v_xa,C,t_a)
    | ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),A,tc_set(t_a)),c_Zorn_Ochain(B,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(A,c_Zorn_Omaxchain(B,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_23,c_19]) ).

cnf(c_60,plain,
    ( c_in(c_union(c_insert(A,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(c_Zorn_Ochain__extend__1(v_c,A,t_a),v_c,tc_set(t_a))
    | ~ c_in(A,v_S,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_24,c_21]) ).

cnf(c_161,plain,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_35,c_21]) ).

cnf(c_830,plain,
    ( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_60,c_20]) ).

cnf(c_847,plain,
    ( c_in(A,v_y,t_a)
    | ~ c_in(A,c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_830,c_8]) ).

cnf(c_890,plain,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_161,c_847]) ).

cnf(c_852,plain,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(copy,[status(thm)],[c_890]) ).

cnf(c_863,plain,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_852,c_11]) ).

cnf(c_891,plain,
    ( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_x,v_S,tc_set(t_a))
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_863,c_40]) ).

cnf(c_892,plain,
    ( ~ c_in(v_x,v_S,tc_set(t_a))
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(copy,[status(thm)],[c_891]) ).

cnf(c_864,plain,
    c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(resolve,[status(thm)],[c_20,c_892]) ).

cnf(c_893,plain,
    ( ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
    inference(resolve,[status(thm)],[c_864,c_29]) ).

cnf(c_868,plain,
    ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)),
    inference(resolve,[status(thm)],[c_22,c_893]) ).

cnf(c_894,plain,
    ( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,A,t_a),v_c,tc_set(t_a))
    | c_in(v_xa,A,t_a)
    | ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_56,c_864]) ).

cnf(c_895,plain,
    ( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
    | ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolve,[status(thm)],[c_894,c_18]) ).

cnf(c_896,plain,
    ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(resolve,[status(thm)],[c_895,c_868]) ).

cnf(c_888,plain,
    $false,
    inference(resolve,[status(thm)],[c_22,c_896]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.44  % Computer : n017.cluster.edu
% 0.12/0.44  % Model    : x86_64 x86_64
% 0.12/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44  % Memory   : 8046.5625MB
% 0.12/0.44  % OS       : Linux 6.8.0-71-generic
% 0.12/0.44  % CPULimit : 300
% 0.12/0.44  % WCLimit  : 300
% 0.12/0.44  % DateTime : Sat Sep 26 08:18:18 UTC 2026
% 0.12/0.45  % CPUTime  : 
% 0.12/0.46  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.46  % Process 255688 was started by sandbox on n017,
% 0.12/0.46  % Sat Sep 26 08:18:18 2026
% 0.12/0.46  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.46  
% 0.12/0.46  % From the command line: assign(max_seconds, 300).
% 3.29/1.45  
% 3.29/1.45  % SZS status Unsatisfiable for theBenchmark
% 3.29/1.45  
% 3.29/1.45  % Proof 1 at 0.33 (+ 0.10) seconds.
% 3.29/1.45  % Length of proof is 32.
% 3.29/1.45  % Level of proof is 8.
% 3.29/1.45  % Maximum clause weight is 42.000.
% 3.29/1.45  % Given clauses 145.
% 3.29/1.45  
% 3.29/1.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------