TSTP Solution File: ANA020-2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 19:14:37 EDT 2022

% Result   : Unsatisfiable 0.47s 0.65s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   28
% Syntax   : Number of clauses     :   69 (  28 unt;   0 nHn;  64 RR)
%            Number of literals    :  129 (  61 equ;  63 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    9 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    v_f(c_0) = c_0 ).

cnf(cls_conjecture_1,negated_conjecture,
    c_less(c_0,v_c,t_a) ).

cnf(cls_conjecture_3,negated_conjecture,
    v_x = c_0 ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_a) ).

cnf(cls_OrderedGroup_Oabs__eq__0_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
    | c_HOL_Oabs(c_0,T_a) = c_0 ) ).

cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
    | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ).

cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
    ( ~ class_Orderings_Oorder(T_a)
    | ~ c_less(V_x,V_y,T_a)
    | c_lessequals(V_x,V_y,T_a) ) ).

cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
    | ~ c_lessequals(c_0,V_b,T_a)
    | ~ c_lessequals(c_0,V_a,T_a)
    | c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(T)
    | class_Ring__and__Field_Opordered__cancel__semiring(T) ) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(T)
    | class_Orderings_Oorder(T) ) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(T)
    | class_OrderedGroup_Olordered__ab__group__abs(T) ) ).

cnf(refute_0_0,plain,
    v_f(v_x) = v_f(v_x),
    introduced(tautology,[refl,[$fot(v_f(v_x))]]) ).

cnf(refute_0_1,plain,
    ( v_f(v_x) != v_f(v_x)
    | v_x != c_0
    | v_f(v_x) = v_f(c_0) ),
    introduced(tautology,[equality,[$cnf( $equal(v_f(v_x),v_f(v_x)) ),[1,0],$fot(c_0)]]) ).

cnf(refute_0_2,plain,
    ( v_x != c_0
    | v_f(v_x) = v_f(c_0) ),
    inference(resolve,[$cnf( $equal(v_f(v_x),v_f(v_x)) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    v_f(v_x) = v_f(c_0),
    inference(resolve,[$cnf( $equal(v_x,c_0) )],[cls_conjecture_3,refute_0_2]) ).

cnf(refute_0_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_8,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( v_f(c_0) != c_0
    | v_f(v_x) != v_f(c_0)
    | v_f(v_x) = c_0 ),
    inference(subst,[],[refute_0_8:[bind(X,$fot(v_f(v_x))),bind(Y,$fot(v_f(c_0))),bind(Z,$fot(c_0))]]) ).

cnf(refute_0_10,plain,
    ( v_f(c_0) != c_0
    | v_f(v_x) = c_0 ),
    inference(resolve,[$cnf( $equal(v_f(v_x),v_f(c_0)) )],[refute_0_3,refute_0_9]) ).

cnf(refute_0_11,plain,
    v_f(v_x) = c_0,
    inference(resolve,[$cnf( $equal(v_f(c_0),c_0) )],[cls_conjecture_0,refute_0_10]) ).

cnf(refute_0_12,plain,
    c_HOL_Oabs(v_f(v_x),t_a) = c_HOL_Oabs(v_f(v_x),t_a),
    introduced(tautology,[refl,[$fot(c_HOL_Oabs(v_f(v_x),t_a))]]) ).

cnf(refute_0_13,plain,
    ( c_HOL_Oabs(v_f(v_x),t_a) != c_HOL_Oabs(v_f(v_x),t_a)
    | v_f(v_x) != c_0
    | c_HOL_Oabs(v_f(v_x),t_a) = c_HOL_Oabs(c_0,t_a) ),
    introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oabs(v_f(v_x),t_a),c_HOL_Oabs(v_f(v_x),t_a)) ),[1,0],$fot(c_0)]]) ).

cnf(refute_0_14,plain,
    ( v_f(v_x) != c_0
    | c_HOL_Oabs(v_f(v_x),t_a) = c_HOL_Oabs(c_0,t_a) ),
    inference(resolve,[$cnf( $equal(c_HOL_Oabs(v_f(v_x),t_a),c_HOL_Oabs(v_f(v_x),t_a)) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    c_HOL_Oabs(v_f(v_x),t_a) = c_HOL_Oabs(c_0,t_a),
    inference(resolve,[$cnf( $equal(v_f(v_x),c_0) )],[refute_0_11,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( c_HOL_Oabs(v_f(v_x),t_a) != c_HOL_Oabs(c_0,t_a)
    | ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a)
    | c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),
    introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),[0],$fot(c_HOL_Oabs(c_0,t_a))]]) ).

cnf(refute_0_17,plain,
    ( ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a)
    | c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),
    inference(resolve,[$cnf( $equal(c_HOL_Oabs(v_f(v_x),t_a),c_HOL_Oabs(c_0,t_a)) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    v_h(v_x) = v_h(v_x),
    introduced(tautology,[refl,[$fot(v_h(v_x))]]) ).

cnf(refute_0_19,plain,
    ( v_h(v_x) != v_h(v_x)
    | v_x != c_0
    | v_h(v_x) = v_h(c_0) ),
    introduced(tautology,[equality,[$cnf( $equal(v_h(v_x),v_h(v_x)) ),[1,0],$fot(c_0)]]) ).

cnf(refute_0_20,plain,
    ( v_x != c_0
    | v_h(v_x) = v_h(c_0) ),
    inference(resolve,[$cnf( $equal(v_h(v_x),v_h(v_x)) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    v_h(v_x) = v_h(c_0),
    inference(resolve,[$cnf( $equal(v_x,c_0) )],[cls_conjecture_3,refute_0_20]) ).

cnf(refute_0_22,plain,
    c_HOL_Oabs(v_h(v_x),t_a) = c_HOL_Oabs(v_h(v_x),t_a),
    introduced(tautology,[refl,[$fot(c_HOL_Oabs(v_h(v_x),t_a))]]) ).

cnf(refute_0_23,plain,
    ( c_HOL_Oabs(v_h(v_x),t_a) != c_HOL_Oabs(v_h(v_x),t_a)
    | v_h(v_x) != v_h(c_0)
    | c_HOL_Oabs(v_h(v_x),t_a) = c_HOL_Oabs(v_h(c_0),t_a) ),
    introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oabs(v_h(v_x),t_a),c_HOL_Oabs(v_h(v_x),t_a)) ),[1,0],$fot(v_h(c_0))]]) ).

cnf(refute_0_24,plain,
    ( v_h(v_x) != v_h(c_0)
    | c_HOL_Oabs(v_h(v_x),t_a) = c_HOL_Oabs(v_h(c_0),t_a) ),
    inference(resolve,[$cnf( $equal(c_HOL_Oabs(v_h(v_x),t_a),c_HOL_Oabs(v_h(v_x),t_a)) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    c_HOL_Oabs(v_h(v_x),t_a) = c_HOL_Oabs(v_h(c_0),t_a),
    inference(resolve,[$cnf( $equal(v_h(v_x),v_h(c_0)) )],[refute_0_21,refute_0_24]) ).

cnf(refute_0_26,plain,
    c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) = c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),
    introduced(tautology,[refl,[$fot(c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a))]]) ).

cnf(refute_0_27,plain,
    ( c_HOL_Oabs(v_h(v_x),t_a) != c_HOL_Oabs(v_h(c_0),t_a)
    | c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) != c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a)
    | c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) = c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a) ),
    introduced(tautology,[equality,[$cnf( $equal(c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a)) ),[1,1],$fot(c_HOL_Oabs(v_h(c_0),t_a))]]) ).

cnf(refute_0_28,plain,
    ( c_HOL_Oabs(v_h(v_x),t_a) != c_HOL_Oabs(v_h(c_0),t_a)
    | c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) = c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a) ),
    inference(resolve,[$cnf( $equal(c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a)) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) = c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),
    inference(resolve,[$cnf( $equal(c_HOL_Oabs(v_h(v_x),t_a),c_HOL_Oabs(v_h(c_0),t_a)) )],[refute_0_25,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) != c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a)
    | ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),
    introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),[1],$fot(c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a))]]) ).

cnf(refute_0_31,plain,
    ( ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),
    inference(resolve,[$cnf( $equal(c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a)) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),
    inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) )],[refute_0_31,refute_0_17]) ).

cnf(refute_0_33,plain,
    ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
    inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) )],[refute_0_32,cls_conjecture_4]) ).

cnf(refute_0_34,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
    inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_50:[bind(T,$fot(t_a))]]) ).

cnf(refute_0_35,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_a),
    inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_a) )],[tfree_tcs,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | c_HOL_Oabs(c_0,t_a) = c_0 ),
    inference(subst,[],[cls_OrderedGroup_Oabs__eq__0_1:[bind(T_a,$fot(t_a))]]) ).

cnf(refute_0_37,plain,
    c_HOL_Oabs(c_0,t_a) = c_0,
    inference(resolve,[$cnf( class_OrderedGroup_Olordered__ab__group__abs(t_a) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    ( c_HOL_Oabs(c_0,t_a) != c_0
    | ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),
    introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),[0],$fot(c_0)]]) ).

cnf(refute_0_39,plain,
    ( ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
    | c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),
    inference(resolve,[$cnf( $equal(c_HOL_Oabs(c_0,t_a),c_0) )],[refute_0_37,refute_0_38]) ).

cnf(refute_0_40,plain,
    ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
    inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) )],[refute_0_39,refute_0_33]) ).

cnf(refute_0_41,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | c_lessequals(c_0,c_HOL_Oabs(X_5,t_a),t_a) ),
    inference(subst,[],[cls_OrderedGroup_Oabs__ge__zero_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(X_5))]]) ).

cnf(refute_0_42,plain,
    c_lessequals(c_0,c_HOL_Oabs(X_5,t_a),t_a),
    inference(resolve,[$cnf( class_OrderedGroup_Olordered__ab__group__abs(t_a) )],[refute_0_35,refute_0_41]) ).

cnf(refute_0_43,plain,
    ( ~ c_less(c_0,v_c,t_a)
    | ~ class_Orderings_Oorder(t_a)
    | c_lessequals(c_0,v_c,t_a) ),
    inference(subst,[],[cls_Orderings_Oorder__less__imp__le_0:[bind(T_a,$fot(t_a)),bind(V_x,$fot(c_0)),bind(V_y,$fot(v_c))]]) ).

cnf(refute_0_44,plain,
    ( ~ class_Orderings_Oorder(t_a)
    | c_lessequals(c_0,v_c,t_a) ),
    inference(resolve,[$cnf( c_less(c_0,v_c,t_a) )],[cls_conjecture_1,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | class_Orderings_Oorder(t_a) ),
    inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_44:[bind(T,$fot(t_a))]]) ).

cnf(refute_0_46,plain,
    class_Orderings_Oorder(t_a),
    inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_a) )],[tfree_tcs,refute_0_45]) ).

cnf(refute_0_47,plain,
    c_lessequals(c_0,v_c,t_a),
    inference(resolve,[$cnf( class_Orderings_Oorder(t_a) )],[refute_0_46,refute_0_44]) ).

cnf(refute_0_48,plain,
    ( ~ c_lessequals(c_0,X_18,t_a)
    | ~ c_lessequals(c_0,v_c,t_a)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
    | c_lessequals(c_0,c_times(v_c,X_18,t_a),t_a) ),
    inference(subst,[],[cls_Ring__and__Field_Omult__nonneg__nonneg_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(v_c)),bind(V_b,$fot(X_18))]]) ).

cnf(refute_0_49,plain,
    ( ~ c_lessequals(c_0,X_18,t_a)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
    | c_lessequals(c_0,c_times(v_c,X_18,t_a),t_a) ),
    inference(resolve,[$cnf( c_lessequals(c_0,v_c,t_a) )],[refute_0_47,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
    inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_40:[bind(T,$fot(t_a))]]) ).

cnf(refute_0_51,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(t_a),
    inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_a) )],[tfree_tcs,refute_0_50]) ).

cnf(refute_0_52,plain,
    ( ~ c_lessequals(c_0,X_18,t_a)
    | c_lessequals(c_0,c_times(v_c,X_18,t_a),t_a) ),
    inference(resolve,[$cnf( class_Ring__and__Field_Opordered__cancel__semiring(t_a) )],[refute_0_51,refute_0_49]) ).

cnf(refute_0_53,plain,
    ( ~ c_lessequals(c_0,c_HOL_Oabs(X_5,t_a),t_a)
    | c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X_5,t_a),t_a),t_a) ),
    inference(subst,[],[refute_0_52:[bind(X_18,$fot(c_HOL_Oabs(X_5,t_a)))]]) ).

cnf(refute_0_54,plain,
    c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X_5,t_a),t_a),t_a),
    inference(resolve,[$cnf( c_lessequals(c_0,c_HOL_Oabs(X_5,t_a),t_a) )],[refute_0_42,refute_0_53]) ).

cnf(refute_0_55,plain,
    c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
    inference(subst,[],[refute_0_54:[bind(X_5,$fot(v_h(c_0)))]]) ).

cnf(refute_0_56,plain,
    $false,
    inference(resolve,[$cnf( c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) )],[refute_0_55,refute_0_40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 06:11:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.65  
% 0.47/0.65  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.47/0.66  
%------------------------------------------------------------------------------