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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET837-1 : 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 : n010.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 02:48:44 PM UTC 2026

% Result   : Unsatisfiable 114.62s 16.21s
% Output   : CNFRefutation 114.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   75 (  13 unt;   0 def)
%            Number of atoms       :  181 (  33 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  181 (  75   ~; 106   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   96 (   0 sgn  96   !;   0   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f215,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).

fof(f216,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X1,X3,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).

fof(f217,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,X1,X3)
      | c_in(X0,X2,X3)
      | ~ c_in(X0,c_union(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

fof(f378,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,X3,X2)
      | ~ c_lessequals(X1,X3,tc_set(X2))
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

fof(f379,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

fof(f380,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

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/sandbox2/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(f1434,negated_conjecture,
    ( c_lessequals(v_Y,v_X,tc_set(t_a))
    | v_X = c_union(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1435,negated_conjecture,
    ( c_lessequals(v_Z,v_X,tc_set(t_a))
    | v_X = c_union(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1436,negated_conjecture,
    ( v_X != c_union(v_Y,v_Z,t_a)
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | c_lessequals(v_Y,v_x,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1437,negated_conjecture,
    ( v_X != c_union(v_Y,v_Z,t_a)
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | c_lessequals(v_Z,v_x,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1438,negated_conjecture,
    ( v_X != c_union(v_Y,v_Z,t_a)
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_X,v_x,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1439,negated_conjecture,
    ! [X0] :
      ( ~ c_lessequals(v_Y,X0,tc_set(t_a))
      | ~ c_lessequals(v_Z,X0,tc_set(t_a))
      | c_lessequals(v_X,X0,tc_set(t_a))
      | v_X = c_union(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

tcf(c_1578,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,c_union(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_1579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,c_union(X1,X3,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_1580,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,X2,X3)
      | c_in(X0,X1,X3)
      | ~ c_in(X0,c_union(X1,X2,X3),X3) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_1715,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X3,X1,X2)
      | ~ c_in(X3,X0,X2)
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    inference(cnf_transformation,[],[f378]) ).

tcf(c_1716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
    inference(cnf_transformation,[],[f379]) ).

tcf(c_1717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
    inference(cnf_transformation,[],[f380]) ).

tcf(c_1718,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_2003,negated_conjecture,
    ( c_lessequals(v_Y,v_X,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) = v_X ) ),
    inference(cnf_transformation,[],[f1434]) ).

tcf(c_2004,negated_conjecture,
    ( c_lessequals(v_Z,v_X,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) = v_X ) ),
    inference(cnf_transformation,[],[f1435]) ).

tcf(c_2005,negated_conjecture,
    ( c_lessequals(v_Y,v_x,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(cnf_transformation,[],[f1436]) ).

tcf(c_2006,negated_conjecture,
    ( c_lessequals(v_Z,v_x,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(cnf_transformation,[],[f1437]) ).

tcf(c_2007,negated_conjecture,
    ( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ c_lessequals(v_X,v_x,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(cnf_transformation,[],[f1438]) ).

tcf(c_2008,negated_conjecture,
    ! [X0: $i] :
      ( c_lessequals(v_X,X0,tc_set(t_a))
      | ( c_union(v_Y,v_Z,t_a) = v_X )
      | ~ c_lessequals(v_Z,X0,tc_set(t_a))
      | ~ c_lessequals(v_Y,X0,tc_set(t_a)) ),
    inference(cnf_transformation,[],[f1439]) ).

tcf(c_13597,plain,
    ! [X0: $i,X1: $i] :
      ( class_Orderings_Oord(X0)
      | ~ class_Orderings_Oord(X1)
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_22255,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
      | ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) ),
    inference(superposition,[status(thm)],[c_1578,c_1717]) ).

tcf(c_22256,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
      | ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ),
    inference(superposition,[status(thm)],[c_1579,c_1717]) ).

tcf(c_22340,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
    inference(superposition,[status(thm)],[c_1716,c_22255]) ).

tcf(c_22359,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
    inference(superposition,[status(thm)],[c_1716,c_22256]) ).

tcf(c_22395,plain,
    ! [X0: $i] :
      ( c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a))
      | ( c_union(v_Y,v_Z,t_a) = v_X )
      | ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a)) ),
    inference(superposition,[status(thm)],[c_22340,c_2008]) ).

tcf(c_22409,plain,
    ( c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) = v_X ) ),
    inference(superposition,[status(thm)],[c_22359,c_22395]) ).

tcf(c_23866,plain,
    ( class_Orderings_Oord(c_union(v_Y,v_Z,t_a))
    | c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ class_Orderings_Oord(v_X) ),
    inference(resolution,[status(thm)],[c_13597,c_2003]) ).

tcf(c_23867,plain,
    ( class_Orderings_Oord(c_union(v_Y,v_Z,t_a))
    | c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ class_Orderings_Oord(v_X) ),
    inference(resolution,[status(thm)],[c_13597,c_2004]) ).

tcf(c_27388,plain,
    ( ( c_union(v_Y,v_Z,t_a) = v_X )
    | ~ c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
    inference(superposition,[status(thm)],[c_22409,c_1718]) ).

tcf(c_28630,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | ( c_union(v_Y,v_Z,t_a) = v_X )
      | ~ c_in(X0,v_Y,t_a) ),
    inference(superposition,[status(thm)],[c_2003,c_1715]) ).

tcf(c_28631,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | ( c_union(v_Y,v_Z,t_a) = v_X )
      | ~ c_in(X0,v_Z,t_a) ),
    inference(superposition,[status(thm)],[c_2004,c_1715]) ).

tcf(c_28716,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
      | c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
      | c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2) ),
    inference(superposition,[status(thm)],[c_1716,c_1580]) ).

tcf(c_29932,plain,
    ! [X0: $i,X1: $i] :
      ( c_lessequals(c_union(X0,v_Z,t_a),X1,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),v_X,t_a)
      | c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),X0,t_a)
      | ( c_union(v_Y,v_Z,t_a) = v_X ) ),
    inference(superposition,[status(thm)],[c_28716,c_28631]) ).

tcf(c_30303,plain,
    ! [X0: $i] :
      ( c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a)
      | ( c_union(v_Y,v_Z,t_a) = v_X ) ),
    inference(superposition,[status(thm)],[c_29932,c_28630]) ).

tcf(c_30304,plain,
    ! [X0: $i] :
      ( c_lessequals(c_union(v_Z,v_Z,t_a),X0,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Z,t_a),X0,t_a),v_X,t_a)
      | ( c_union(v_Y,v_Z,t_a) = v_X ) ),
    inference(superposition,[status(thm)],[c_29932,c_28631]) ).

tcf(c_30336,plain,
    ( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) = v_X ) ),
    inference(superposition,[status(thm)],[c_30303,c_1717]) ).

tcf(c_30337,plain,
    c_union(v_Y,v_Z,t_a) = v_X,
    inference(global_subsumption_just,[status(thm)],[c_30304,c_27388,c_30336]) ).

tcf(c_30360,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | ~ c_in(X0,v_Z,t_a) ),
    inference(superposition,[status(thm)],[c_30337,c_1578]) ).

tcf(c_30361,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | ~ c_in(X0,v_Y,t_a) ),
    inference(superposition,[status(thm)],[c_30337,c_1579]) ).

tcf(c_32994,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | class_Orderings_Oord(c_union(v_Y,v_Z,t_a))
      | ~ class_Orderings_Oord(v_X)
      | ~ c_in(X0,v_Y,t_a) ),
    inference(resolution,[status(thm)],[c_1715,c_23866]) ).

tcf(c_32997,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | class_Orderings_Oord(c_union(v_Y,v_Z,t_a))
      | ~ class_Orderings_Oord(v_X)
      | ~ c_in(X0,v_Z,t_a) ),
    inference(resolution,[status(thm)],[c_1715,c_23867]) ).

tcf(c_33366,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | ~ c_in(X0,v_Y,t_a) ),
    inference(global_subsumption_just,[status(thm)],[c_32994,c_30361]) ).

tcf(c_33376,plain,
    ! [X0: $i] :
      ( c_lessequals(v_Y,X0,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_X,t_a) ),
    inference(resolution,[status(thm)],[c_33366,c_1716]) ).

tcf(c_33377,plain,
    ! [X0: $i] :
      ( c_in(X0,v_X,t_a)
      | ~ c_in(X0,v_Z,t_a) ),
    inference(global_subsumption_just,[status(thm)],[c_32997,c_30360]) ).

tcf(c_33387,plain,
    ! [X0: $i] :
      ( c_lessequals(v_Z,X0,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a) ),
    inference(resolution,[status(thm)],[c_33377,c_1716]) ).

tcf(c_33412,plain,
    c_lessequals(v_Y,v_X,tc_set(t_a)),
    inference(resolution,[status(thm)],[c_33376,c_1717]) ).

tcf(c_33417,plain,
    c_lessequals(v_Z,v_X,tc_set(t_a)),
    inference(resolution,[status(thm)],[c_33387,c_1717]) ).

tcf(c_40458,negated_conjecture,
    c_lessequals(v_Y,v_X,tc_set(t_a)),
    inference(global_subsumption_just,[status(thm)],[c_2003,c_33412]) ).

tcf(c_40460,plain,
    ( ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_X,v_x,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2007,c_40458]) ).

tcf(c_40461,plain,
    ( c_lessequals(v_Z,v_x,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2006,c_40458]) ).

tcf(c_40462,plain,
    ( c_lessequals(v_Y,v_x,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2005,c_40458]) ).

tcf(c_40463,negated_conjecture,
    c_lessequals(v_Z,v_X,tc_set(t_a)),
    inference(global_subsumption_just,[status(thm)],[c_2004,c_33417]) ).

tcf(c_40465,plain,
    ( ~ c_lessequals(v_X,v_x,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_40460,c_40463]) ).

tcf(c_40466,plain,
    ( c_lessequals(v_Z,v_x,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_40461,c_40463]) ).

tcf(c_40467,plain,
    ( c_lessequals(v_Y,v_x,tc_set(t_a))
    | ( c_union(v_Y,v_Z,t_a) != v_X ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_40462,c_40463]) ).

tcf(c_40468,negated_conjecture,
    c_union(v_Y,v_Z,t_a) = v_X,
    inference(global_subsumption_just,[status(thm)],[c_2008,c_30337]) ).

tcf(c_40470,plain,
    c_lessequals(v_Y,v_x,tc_set(t_a)),
    inference(backward_subsumption_resolution,[status(thm)],[c_40467,c_40468]) ).

tcf(c_40471,plain,
    c_lessequals(v_Z,v_x,tc_set(t_a)),
    inference(backward_subsumption_resolution,[status(thm)],[c_40466,c_40468]) ).

tcf(c_40472,plain,
    ~ c_lessequals(v_X,v_x,tc_set(t_a)),
    inference(backward_subsumption_resolution,[status(thm)],[c_40465,c_40468]) ).

tcf(c_41685,plain,
    ! [X0: $i] :
      ( c_in(X0,v_x,t_a)
      | ~ c_in(X0,v_Y,t_a) ),
    inference(superposition,[status(thm)],[c_40470,c_1715]) ).

tcf(c_41686,plain,
    ! [X0: $i] :
      ( c_in(X0,v_x,t_a)
      | ~ c_in(X0,v_Z,t_a) ),
    inference(superposition,[status(thm)],[c_40471,c_1715]) ).

tcf(c_41800,plain,
    ! [X0: $i] :
      ( c_in(X0,v_Z,t_a)
      | c_in(X0,v_Y,t_a)
      | ~ c_in(X0,v_X,t_a) ),
    inference(superposition,[status(thm)],[c_40468,c_1580]) ).

tcf(c_41870,plain,
    ! [X0: $i] :
      ( c_lessequals(v_X,X0,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
      | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a) ),
    inference(superposition,[status(thm)],[c_1716,c_41800]) ).

tcf(c_41941,plain,
    ! [X0: $i] :
      ( c_lessequals(v_X,X0,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_x,t_a)
      | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a) ),
    inference(superposition,[status(thm)],[c_41870,c_41686]) ).

tcf(c_42216,plain,
    ! [X0: $i] :
      ( c_lessequals(v_X,X0,tc_set(t_a))
      | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_x,t_a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_41941,c_41685]) ).

tcf(c_42221,plain,
    c_lessequals(v_X,v_x,tc_set(t_a)),
    inference(superposition,[status(thm)],[c_42216,c_1717]) ).

tcf(c_42225,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_42221,c_40472]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET837-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n010.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 12:08:58 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.42  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
% 0.14/0.43  
% 0.14/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43  
% 0.14/0.44  % Detected problem language: tptp
% 0.14/0.46  % Proving...
% 114.62/16.21  % SZS status Started for theBenchmark.p
% 114.62/16.21  % SZS status Unsatisfiable for theBenchmark.p
% 114.62/16.21  
% 114.62/16.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 114.62/16.21  
% 114.62/16.21  % ------  iProver source info
% 114.62/16.21  
% 114.62/16.21  % git: date: 2026-07-19 20:42:38 +0200
% 114.62/16.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 114.62/16.21  % git: non_committed_changes: false
% 114.62/16.21  
% 114.62/16.21  % ------ Parsing...% successful
% 114.62/16.21  
% 114.62/16.21  
% 114.62/16.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 114.62/16.21  
% 114.62/16.21  % ------ 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 % 
% 114.62/16.21  
% 114.62/16.21  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 114.62/16.21  
% 114.62/16.21  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 114.62/16.21  % ------ Proving...
% 114.62/16.21  % ------ Problem Properties 
% 114.62/16.21  
% 114.62/16.21  % 
% 114.62/16.21  % clauses                               301
% 114.62/16.21  % conjectures                           6
% 114.62/16.21  % EPR                                   26
% 114.62/16.21  % Horn                                  271
% 114.62/16.21  % unary                                 75
% 114.62/16.21  % binary                                175
% 114.62/16.21  % lits                                  582
% 114.62/16.21  % lits eq                               168
% 114.62/16.21  % fd_pure                               0
% 114.62/16.21  % fd_pseudo                             0
% 114.62/16.21  % fd_cond                               21
% 114.62/16.21  % fd_pseudo_cond                        40
% 114.62/16.21  % AC symbols                            0
% 114.62/16.21  
% 114.62/16.21  % ------ Input Options Time Limit: Unbounded
% 114.62/16.21  
% 114.62/16.21  
% 114.62/16.21  % ------ 
% 114.62/16.21  % Current options:
% 114.62/16.21  % ------ 
% 114.62/16.21  
% 114.62/16.21  
% 114.62/16.21  % 
% 114.62/16.21  
% 114.62/16.21  % ------ Proving...
% 114.62/16.21  % 
% 114.62/16.21  
% 114.62/16.21  % SZS status Unsatisfiable for theBenchmark.p
% 114.62/16.21  
% 114.62/16.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 114.62/16.21  
% 114.62/16.21  
%------------------------------------------------------------------------------