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iProverMo---2.5-0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : MGT089+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n012.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 : Tue Sep  8 06:12:38 AM UTC 2026

% Result   : Theorem 0.07s 0.36s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named inputERROR: Could not build tree for root to_be_clausified_0ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(val_v5,axiom,
    val(v5),
    input ).

fof(val_v5_0,plain,
    ( val(v5)
    | $false ),
    inference(orientation,[status(thm)],[val_v5]) ).

fof(upper_tag_gt,axiom,
    upper_tag(gt,c),
    input ).

fof(upper_tag_gt_0,plain,
    ( upper_tag(gt,c)
    | $false ),
    inference(orientation,[status(thm)],[upper_tag_gt]) ).

fof(upper_tag_lt,axiom,
    upper_tag(lt,o),
    input ).

fof(upper_tag_lt_0,plain,
    ( upper_tag(lt,o)
    | $false ),
    inference(orientation,[status(thm)],[upper_tag_lt]) ).

fof(upper_tag_gteq,axiom,
    upper_tag(gteq,c),
    input ).

fof(upper_tag_gteq_0,plain,
    ( upper_tag(gteq,c)
    | $false ),
    inference(orientation,[status(thm)],[upper_tag_gteq]) ).

fof(upper_tag_lteq,axiom,
    upper_tag(lteq,c),
    input ).

fof(upper_tag_lteq_0,plain,
    ( upper_tag(lteq,c)
    | $false ),
    inference(orientation,[status(thm)],[upper_tag_lteq]) ).

fof(upper_tag_eq,axiom,
    upper_tag(eq,c),
    input ).

fof(upper_tag_eq_0,plain,
    ( upper_tag(eq,c)
    | $false ),
    inference(orientation,[status(thm)],[upper_tag_eq]) ).

fof(lower_tag_gt,axiom,
    lower_tag(gt,o),
    input ).

fof(lower_tag_gt_0,plain,
    ( lower_tag(gt,o)
    | $false ),
    inference(orientation,[status(thm)],[lower_tag_gt]) ).

fof(lower_tag_lt,axiom,
    lower_tag(lt,c),
    input ).

fof(lower_tag_lt_0,plain,
    ( lower_tag(lt,c)
    | $false ),
    inference(orientation,[status(thm)],[lower_tag_lt]) ).

fof(lower_tag_gteq,axiom,
    lower_tag(gteq,c),
    input ).

fof(lower_tag_gteq_0,plain,
    ( lower_tag(gteq,c)
    | $false ),
    inference(orientation,[status(thm)],[lower_tag_gteq]) ).

fof(lower_tag_lteq,axiom,
    lower_tag(lteq,c),
    input ).

fof(lower_tag_lteq_0,plain,
    ( lower_tag(lteq,c)
    | $false ),
    inference(orientation,[status(thm)],[lower_tag_lteq]) ).

fof(lower_tag_eq,axiom,
    lower_tag(eq,c),
    input ).

fof(lower_tag_eq_0,plain,
    ( lower_tag(eq,c)
    | $false ),
    inference(orientation,[status(thm)],[lower_tag_eq]) ).

fof(disjoint_def,axiom,
    ! [L1,U1,CL1,CU1,L2,U2,CL2,CU2] :
      ( disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)
    <=> ( prec(U1,L2,CU1,CL2)
        | prec(U2,L1,CU2,CL1) ) ),
    input ).

fof(disjoint_def_0,plain,
    ! [CL1,CL2,CU1,CU2,L1,L2,U1,U2] :
      ( disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)
      | ~ ( prec(U1,L2,CU1,CL2)
          | prec(U2,L1,CU2,CL1) ) ),
    inference(orientation,[status(thm)],[disjoint_def]) ).

fof(disjoint_def_1,plain,
    ! [CL1,CL2,CU1,CU2,L1,L2,U1,U2] :
      ( ~ disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2)
      | prec(U1,L2,CU1,CL2)
      | prec(U2,L1,CU2,CL1) ),
    inference(orientation,[status(thm)],[disjoint_def]) ).

fof(prec_oo,axiom,
    ! [U,L] :
      ( prec(U,L,o,o)
    <=> leq(U,L) ),
    input ).

fof(prec_oo_0,plain,
    ! [L,U] :
      ( prec(U,L,o,o)
      | ~ leq(U,L) ),
    inference(orientation,[status(thm)],[prec_oo]) ).

fof(prec_oo_1,plain,
    ! [L,U] :
      ( ~ prec(U,L,o,o)
      | leq(U,L) ),
    inference(orientation,[status(thm)],[prec_oo]) ).

fof(prec_co,axiom,
    ! [U,L] :
      ( prec(U,L,c,o)
    <=> leq(U,L) ),
    input ).

fof(prec_co_0,plain,
    ! [L,U] :
      ( prec(U,L,c,o)
      | ~ leq(U,L) ),
    inference(orientation,[status(thm)],[prec_co]) ).

fof(prec_co_1,plain,
    ! [L,U] :
      ( ~ prec(U,L,c,o)
      | leq(U,L) ),
    inference(orientation,[status(thm)],[prec_co]) ).

fof(prec_oc,axiom,
    ! [U,L] :
      ( prec(U,L,o,c)
    <=> leq(U,L) ),
    input ).

fof(prec_oc_0,plain,
    ! [L,U] :
      ( prec(U,L,o,c)
      | ~ leq(U,L) ),
    inference(orientation,[status(thm)],[prec_oc]) ).

fof(prec_oc_1,plain,
    ! [L,U] :
      ( ~ prec(U,L,o,c)
      | leq(U,L) ),
    inference(orientation,[status(thm)],[prec_oc]) ).

fof(prec_cc,axiom,
    ! [U,L] :
      ( prec(U,L,c,c)
    <=> less(U,L) ),
    input ).

fof(prec_cc_0,plain,
    ! [L,U] :
      ( prec(U,L,c,c)
      | ~ less(U,L) ),
    inference(orientation,[status(thm)],[prec_cc]) ).

fof(prec_cc_1,plain,
    ! [L,U] :
      ( ~ prec(U,L,c,c)
      | less(U,L) ),
    inference(orientation,[status(thm)],[prec_cc]) ).

fof(ep_type_enum,axiom,
    ! [T] :
      ( is_ep_type(T)
     => ( T = c
        | T = o ) ),
    input ).

fof(ep_type_enum_0,plain,
    ! [T] :
      ( ~ is_ep_type(T)
      | T = c
      | T = o ),
    inference(orientation,[status(thm)],[ep_type_enum]) ).

fof(ep_types_distinct,axiom,
    c != o,
    input ).

fof(ep_types_distinct_0,plain,
    ( c != o
    | $false ),
    inference(orientation,[status(thm)],[ep_types_distinct]) ).

fof(ep_o_is_ep,axiom,
    is_ep_type(o),
    input ).

fof(ep_o_is_ep_0,plain,
    ( is_ep_type(o)
    | $false ),
    inference(orientation,[status(thm)],[ep_o_is_ep]) ).

fof(ep_c_is_ep,axiom,
    is_ep_type(c),
    input ).

fof(ep_c_is_ep_0,plain,
    ( is_ep_type(c)
    | $false ),
    inference(orientation,[status(thm)],[ep_c_is_ep]) ).

fof(box_unknown,axiom,
    ! [V1,V2] :
      ( ( is_verdict(V1)
        & is_verdict(V2)
        & ( V1 = unknown
          | V2 = unknown )
        & V1 != conflict
        & V2 != conflict )
     => box_verdict(V1,V2) = unknown ),
    input ).

fof(box_unknown_0,plain,
    ! [V1,V2] :
      ( box_verdict(V1,V2) = unknown
      | ~ ( is_verdict(V1)
          & is_verdict(V2)
          & ( V1 = unknown
            | V2 = unknown )
          & V1 != conflict
          & V2 != conflict ) ),
    inference(orientation,[status(thm)],[box_unknown]) ).

fof(box_compatible,axiom,
    ! [V1,V2] :
      ( ( is_verdict(V1)
        & is_verdict(V2)
        & V1 = compatible
        & V2 = compatible )
     => box_verdict(V1,V2) = compatible ),
    input ).

fof(box_compatible_0,plain,
    ! [V1,V2] :
      ( box_verdict(V1,V2) = compatible
      | ~ ( is_verdict(V1)
          & is_verdict(V2)
          & V1 = compatible
          & V2 = compatible ) ),
    inference(orientation,[status(thm)],[box_compatible]) ).

fof(box_conflict,axiom,
    ! [V1,V2] :
      ( ( is_verdict(V1)
        & is_verdict(V2)
        & ( V1 = conflict
          | V2 = conflict ) )
     => box_verdict(V1,V2) = conflict ),
    input ).

fof(box_conflict_0,plain,
    ! [V1,V2] :
      ( box_verdict(V1,V2) = conflict
      | ~ ( is_verdict(V1)
          & is_verdict(V2)
          & ( V1 = conflict
            | V2 = conflict ) ) ),
    inference(orientation,[status(thm)],[box_conflict]) ).

fof(verdict_enum,axiom,
    ! [V] :
      ( is_verdict(V)
     => ( V = conflict
        | V = compatible
        | V = unknown ) ),
    input ).

fof(verdict_enum_0,plain,
    ! [V] :
      ( ~ is_verdict(V)
      | V = conflict
      | V = compatible
      | V = unknown ),
    inference(orientation,[status(thm)],[verdict_enum]) ).

fof(verdicts_distinct_cp_un,axiom,
    compatible != unknown,
    input ).

fof(verdicts_distinct_cp_un_0,plain,
    ( compatible != unknown
    | $false ),
    inference(orientation,[status(thm)],[verdicts_distinct_cp_un]) ).

fof(verdicts_distinct_cf_un,axiom,
    conflict != unknown,
    input ).

fof(verdicts_distinct_cf_un_0,plain,
    ( conflict != unknown
    | $false ),
    inference(orientation,[status(thm)],[verdicts_distinct_cf_un]) ).

fof(verdicts_distinct_cf_cp,axiom,
    conflict != compatible,
    input ).

fof(verdicts_distinct_cf_cp_0,plain,
    ( conflict != compatible
    | $false ),
    inference(orientation,[status(thm)],[verdicts_distinct_cf_cp]) ).

fof(unknown_is_verdict,axiom,
    is_verdict(unknown),
    input ).

fof(unknown_is_verdict_0,plain,
    ( is_verdict(unknown)
    | $false ),
    inference(orientation,[status(thm)],[unknown_is_verdict]) ).

fof(compatible_is_verdict,axiom,
    is_verdict(compatible),
    input ).

fof(compatible_is_verdict_0,plain,
    ( is_verdict(compatible)
    | $false ),
    inference(orientation,[status(thm)],[compatible_is_verdict]) ).

fof(conflict_is_verdict,axiom,
    is_verdict(conflict),
    input ).

fof(conflict_is_verdict_0,plain,
    ( is_verdict(conflict)
    | $false ),
    inference(orientation,[status(thm)],[conflict_is_verdict]) ).

fof(axis_subsumes_def,axiom,
    ! [I1lo,I1hi,I2lo,I2hi] :
      ( axis_subsumes(I1lo,I1hi,I2lo,I2hi)
    <=> ! [X] :
          ( in_closed(X,I1lo,I1hi)
         => in_closed(X,I2lo,I2hi) ) ),
    input ).

fof(axis_subsumes_def_0,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( axis_subsumes(I1lo,I1hi,I2lo,I2hi)
      | ~ ! [X] :
            ( in_closed(X,I1lo,I1hi)
           => in_closed(X,I2lo,I2hi) ) ),
    inference(orientation,[status(thm)],[axis_subsumes_def]) ).

fof(axis_subsumes_def_1,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( ~ axis_subsumes(I1lo,I1hi,I2lo,I2hi)
      | ! [X] :
          ( in_closed(X,I1lo,I1hi)
         => in_closed(X,I2lo,I2hi) ) ),
    inference(orientation,[status(thm)],[axis_subsumes_def]) ).

fof(axis_compatible_def,axiom,
    ! [I1lo,I1hi,I2lo,I2hi] :
      ( axis_compatible(I1lo,I1hi,I2lo,I2hi)
    <=> ? [X] :
          ( in_closed(X,I1lo,I1hi)
          & in_closed(X,I2lo,I2hi) ) ),
    input ).

fof(axis_compatible_def_0,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( axis_compatible(I1lo,I1hi,I2lo,I2hi)
      | ~ ? [X] :
            ( in_closed(X,I1lo,I1hi)
            & in_closed(X,I2lo,I2hi) ) ),
    inference(orientation,[status(thm)],[axis_compatible_def]) ).

fof(axis_compatible_def_1,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( ~ axis_compatible(I1lo,I1hi,I2lo,I2hi)
      | ? [X] :
          ( in_closed(X,I1lo,I1hi)
          & in_closed(X,I2lo,I2hi) ) ),
    inference(orientation,[status(thm)],[axis_compatible_def]) ).

fof(axis_conflict_def,axiom,
    ! [I1lo,I1hi,I2lo,I2hi] :
      ( axis_conflict(I1lo,I1hi,I2lo,I2hi)
    <=> ~ ? [X] :
            ( in_closed(X,I1lo,I1hi)
            & in_closed(X,I2lo,I2hi) ) ),
    input ).

fof(axis_conflict_def_0,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( axis_conflict(I1lo,I1hi,I2lo,I2hi)
      | ? [X] :
          ( in_closed(X,I1lo,I1hi)
          & in_closed(X,I2lo,I2hi) ) ),
    inference(orientation,[status(thm)],[axis_conflict_def]) ).

fof(axis_conflict_def_1,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( ~ axis_conflict(I1lo,I1hi,I2lo,I2hi)
      | ~ ? [X] :
            ( in_closed(X,I1lo,I1hi)
            & in_closed(X,I2lo,I2hi) ) ),
    inference(orientation,[status(thm)],[axis_conflict_def]) ).

fof(in_open,axiom,
    ! [X,A,B] :
      ( in_open(X,A,B)
    <=> ( less(A,X)
        & less(X,B) ) ),
    input ).

fof(in_open_0,plain,
    ! [A,B,X] :
      ( in_open(X,A,B)
      | ~ ( less(A,X)
          & less(X,B) ) ),
    inference(orientation,[status(thm)],[in_open]) ).

fof(in_open_1,plain,
    ! [A,B,X] :
      ( ~ in_open(X,A,B)
      | ( less(A,X)
        & less(X,B) ) ),
    inference(orientation,[status(thm)],[in_open]) ).

fof(in_ropen,axiom,
    ! [X,A,B] :
      ( in_ropen(X,A,B)
    <=> ( leq(A,X)
        & less(X,B) ) ),
    input ).

fof(in_ropen_0,plain,
    ! [A,B,X] :
      ( in_ropen(X,A,B)
      | ~ ( leq(A,X)
          & less(X,B) ) ),
    inference(orientation,[status(thm)],[in_ropen]) ).

fof(in_ropen_1,plain,
    ! [A,B,X] :
      ( ~ in_ropen(X,A,B)
      | ( leq(A,X)
        & less(X,B) ) ),
    inference(orientation,[status(thm)],[in_ropen]) ).

fof(in_lopen,axiom,
    ! [X,A,B] :
      ( in_lopen(X,A,B)
    <=> ( less(A,X)
        & leq(X,B) ) ),
    input ).

fof(in_lopen_0,plain,
    ! [A,B,X] :
      ( in_lopen(X,A,B)
      | ~ ( less(A,X)
          & leq(X,B) ) ),
    inference(orientation,[status(thm)],[in_lopen]) ).

fof(in_lopen_1,plain,
    ! [A,B,X] :
      ( ~ in_lopen(X,A,B)
      | ( less(A,X)
        & leq(X,B) ) ),
    inference(orientation,[status(thm)],[in_lopen]) ).

fof(in_closed,axiom,
    ! [X,A,B] :
      ( in_closed(X,A,B)
    <=> ( leq(A,X)
        & leq(X,B) ) ),
    input ).

fof(in_closed_0,plain,
    ! [A,B,X] :
      ( in_closed(X,A,B)
      | ~ ( leq(A,X)
          & leq(X,B) ) ),
    inference(orientation,[status(thm)],[in_closed]) ).

fof(in_closed_1,plain,
    ! [A,B,X] :
      ( ~ in_closed(X,A,B)
      | ( leq(A,X)
        & leq(X,B) ) ),
    inference(orientation,[status(thm)],[in_closed]) ).

fof(leq_trans,axiom,
    ! [X,Y,Z] :
      ( ( leq(X,Y)
        & leq(Y,Z) )
     => leq(X,Z) ),
    input ).

fof(leq_trans_0,plain,
    ! [X,Y,Z] :
      ( leq(X,Z)
      | ~ ( leq(X,Y)
          & leq(Y,Z) ) ),
    inference(orientation,[status(thm)],[leq_trans]) ).

fof(less_leq_trans,axiom,
    ! [X,Y,Z] :
      ( ( less(X,Y)
        & leq(Y,Z) )
     => less(X,Z) ),
    input ).

fof(less_leq_trans_0,plain,
    ! [X,Y,Z] :
      ( less(X,Z)
      | ~ ( less(X,Y)
          & leq(Y,Z) ) ),
    inference(orientation,[status(thm)],[less_leq_trans]) ).

fof(leq_less_trans,axiom,
    ! [X,Y,Z] :
      ( ( leq(X,Y)
        & less(Y,Z) )
     => less(X,Z) ),
    input ).

fof(leq_less_trans_0,plain,
    ! [X,Y,Z] :
      ( less(X,Z)
      | ~ ( leq(X,Y)
          & less(Y,Z) ) ),
    inference(orientation,[status(thm)],[leq_less_trans]) ).

fof(less_implies_leq,axiom,
    ! [X,Y] :
      ( less(X,Y)
     => leq(X,Y) ),
    input ).

fof(less_implies_leq_0,plain,
    ! [X,Y] :
      ( ~ less(X,Y)
      | leq(X,Y) ),
    inference(orientation,[status(thm)],[less_implies_leq]) ).

fof(leq_antisym,axiom,
    ! [X,Y] :
      ( ( leq(X,Y)
        & leq(Y,X) )
     => X = Y ),
    input ).

fof(leq_antisym_0,plain,
    ! [X,Y] :
      ( X = Y
      | ~ ( leq(X,Y)
          & leq(Y,X) ) ),
    inference(orientation,[status(thm)],[leq_antisym]) ).

fof(leq_def,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> ( less(X,Y)
        | X = Y ) ),
    input ).

fof(leq_def_0,plain,
    ! [X,Y] :
      ( leq(X,Y)
      | ~ ( less(X,Y)
          | X = Y ) ),
    inference(orientation,[status(thm)],[leq_def]) ).

fof(leq_def_1,plain,
    ! [X,Y] :
      ( ~ leq(X,Y)
      | less(X,Y)
      | X = Y ),
    inference(orientation,[status(thm)],[leq_def]) ).

fof(transitive,axiom,
    ! [X,Y,Z] :
      ( ( less(X,Y)
        & less(Y,Z) )
     => less(X,Z) ),
    input ).

fof(transitive_0,plain,
    ! [X,Y,Z] :
      ( less(X,Z)
      | ~ ( less(X,Y)
          & less(Y,Z) ) ),
    inference(orientation,[status(thm)],[transitive]) ).

fof(irreflexive,axiom,
    ! [X] : ~ less(X,X),
    input ).

fof(irreflexive_0,plain,
    ! [X] :
      ( ~ less(X,X)
      | $false ),
    inference(orientation,[status(thm)],[irreflexive]) ).

fof(def_lhs_atom1,axiom,
    ! [X] :
      ( lhs_atom1(X)
    <=> ~ less(X,X) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_0,plain,
    ! [X] :
      ( lhs_atom1(X)
      | $false ),
    inference(fold_definition,[status(thm)],[irreflexive_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [Z,X] :
      ( lhs_atom2(Z,X)
    <=> less(X,Z) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ! [X,Y,Z] :
      ( lhs_atom2(Z,X)
      | ~ ( less(X,Y)
          & less(Y,Z) ) ),
    inference(fold_definition,[status(thm)],[transitive_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [Y,X] :
      ( lhs_atom3(Y,X)
    <=> ~ leq(X,Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ! [X,Y] :
      ( lhs_atom3(Y,X)
      | less(X,Y)
      | X = Y ),
    inference(fold_definition,[status(thm)],[leq_def_1,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [Y,X] :
      ( lhs_atom4(Y,X)
    <=> leq(X,Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_3,plain,
    ! [X,Y] :
      ( lhs_atom4(Y,X)
      | ~ ( less(X,Y)
          | X = Y ) ),
    inference(fold_definition,[status(thm)],[leq_def_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [Y,X] :
      ( lhs_atom5(Y,X)
    <=> X = Y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_4,plain,
    ! [X,Y] :
      ( lhs_atom5(Y,X)
      | ~ ( leq(X,Y)
          & leq(Y,X) ) ),
    inference(fold_definition,[status(thm)],[leq_antisym_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [Y,X] :
      ( lhs_atom6(Y,X)
    <=> ~ less(X,Y) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_5,plain,
    ! [X,Y] :
      ( lhs_atom6(Y,X)
      | leq(X,Y) ),
    inference(fold_definition,[status(thm)],[less_implies_leq_0,def_lhs_atom6]) ).

fof(to_be_clausified_6,plain,
    ! [X,Y,Z] :
      ( lhs_atom2(Z,X)
      | ~ ( leq(X,Y)
          & less(Y,Z) ) ),
    inference(fold_definition,[status(thm)],[leq_less_trans_0,def_lhs_atom2]) ).

fof(to_be_clausified_7,plain,
    ! [X,Y,Z] :
      ( lhs_atom2(Z,X)
      | ~ ( less(X,Y)
          & leq(Y,Z) ) ),
    inference(fold_definition,[status(thm)],[less_leq_trans_0,def_lhs_atom2]) ).

fof(def_lhs_atom7,axiom,
    ! [Z,X] :
      ( lhs_atom7(Z,X)
    <=> leq(X,Z) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_8,plain,
    ! [X,Y,Z] :
      ( lhs_atom7(Z,X)
      | ~ ( leq(X,Y)
          & leq(Y,Z) ) ),
    inference(fold_definition,[status(thm)],[leq_trans_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [X,B,A] :
      ( lhs_atom8(X,B,A)
    <=> ~ in_closed(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_9,plain,
    ! [A,B,X] :
      ( lhs_atom8(X,B,A)
      | ( leq(A,X)
        & leq(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_closed_1,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [X,B,A] :
      ( lhs_atom9(X,B,A)
    <=> in_closed(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_10,plain,
    ! [A,B,X] :
      ( lhs_atom9(X,B,A)
      | ~ ( leq(A,X)
          & leq(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_closed_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [X,B,A] :
      ( lhs_atom10(X,B,A)
    <=> ~ in_lopen(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_11,plain,
    ! [A,B,X] :
      ( lhs_atom10(X,B,A)
      | ( less(A,X)
        & leq(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_lopen_1,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [X,B,A] :
      ( lhs_atom11(X,B,A)
    <=> in_lopen(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_12,plain,
    ! [A,B,X] :
      ( lhs_atom11(X,B,A)
      | ~ ( less(A,X)
          & leq(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_lopen_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [X,B,A] :
      ( lhs_atom12(X,B,A)
    <=> ~ in_ropen(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_13,plain,
    ! [A,B,X] :
      ( lhs_atom12(X,B,A)
      | ( leq(A,X)
        & less(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_ropen_1,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [X,B,A] :
      ( lhs_atom13(X,B,A)
    <=> in_ropen(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_14,plain,
    ! [A,B,X] :
      ( lhs_atom13(X,B,A)
      | ~ ( leq(A,X)
          & less(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_ropen_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [X,B,A] :
      ( lhs_atom14(X,B,A)
    <=> ~ in_open(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_15,plain,
    ! [A,B,X] :
      ( lhs_atom14(X,B,A)
      | ( less(A,X)
        & less(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_open_1,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [X,B,A] :
      ( lhs_atom15(X,B,A)
    <=> in_open(X,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_16,plain,
    ! [A,B,X] :
      ( lhs_atom15(X,B,A)
      | ~ ( less(A,X)
          & less(X,B) ) ),
    inference(fold_definition,[status(thm)],[in_open_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [I2lo,I2hi,I1lo,I1hi] :
      ( lhs_atom16(I2lo,I2hi,I1lo,I1hi)
    <=> ~ axis_conflict(I1lo,I1hi,I2lo,I2hi) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_17,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( lhs_atom16(I2lo,I2hi,I1lo,I1hi)
      | ~ ? [X] :
            ( in_closed(X,I1lo,I1hi)
            & in_closed(X,I2lo,I2hi) ) ),
    inference(fold_definition,[status(thm)],[axis_conflict_def_1,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [I2lo,I2hi,I1lo,I1hi] :
      ( lhs_atom17(I2lo,I2hi,I1lo,I1hi)
    <=> axis_conflict(I1lo,I1hi,I2lo,I2hi) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_18,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( lhs_atom17(I2lo,I2hi,I1lo,I1hi)
      | ? [X] :
          ( in_closed(X,I1lo,I1hi)
          & in_closed(X,I2lo,I2hi) ) ),
    inference(fold_definition,[status(thm)],[axis_conflict_def_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [I2lo,I2hi,I1lo,I1hi] :
      ( lhs_atom18(I2lo,I2hi,I1lo,I1hi)
    <=> ~ axis_compatible(I1lo,I1hi,I2lo,I2hi) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_19,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( lhs_atom18(I2lo,I2hi,I1lo,I1hi)
      | ? [X] :
          ( in_closed(X,I1lo,I1hi)
          & in_closed(X,I2lo,I2hi) ) ),
    inference(fold_definition,[status(thm)],[axis_compatible_def_1,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [I2lo,I2hi,I1lo,I1hi] :
      ( lhs_atom19(I2lo,I2hi,I1lo,I1hi)
    <=> axis_compatible(I1lo,I1hi,I2lo,I2hi) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_20,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( lhs_atom19(I2lo,I2hi,I1lo,I1hi)
      | ~ ? [X] :
            ( in_closed(X,I1lo,I1hi)
            & in_closed(X,I2lo,I2hi) ) ),
    inference(fold_definition,[status(thm)],[axis_compatible_def_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [I2lo,I2hi,I1lo,I1hi] :
      ( lhs_atom20(I2lo,I2hi,I1lo,I1hi)
    <=> ~ axis_subsumes(I1lo,I1hi,I2lo,I2hi) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_21,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( lhs_atom20(I2lo,I2hi,I1lo,I1hi)
      | ! [X] :
          ( in_closed(X,I1lo,I1hi)
         => in_closed(X,I2lo,I2hi) ) ),
    inference(fold_definition,[status(thm)],[axis_subsumes_def_1,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [I2lo,I2hi,I1lo,I1hi] :
      ( lhs_atom21(I2lo,I2hi,I1lo,I1hi)
    <=> axis_subsumes(I1lo,I1hi,I2lo,I2hi) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_22,plain,
    ! [I1hi,I1lo,I2hi,I2lo] :
      ( lhs_atom21(I2lo,I2hi,I1lo,I1hi)
      | ~ ! [X] :
            ( in_closed(X,I1lo,I1hi)
           => in_closed(X,I2lo,I2hi) ) ),
    inference(fold_definition,[status(thm)],[axis_subsumes_def_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ( lhs_atom22
  <=> is_verdict(conflict) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_23,plain,
    ( lhs_atom22
    | $false ),
    inference(fold_definition,[status(thm)],[conflict_is_verdict_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ( lhs_atom23
  <=> is_verdict(compatible) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom23
    | $false ),
    inference(fold_definition,[status(thm)],[compatible_is_verdict_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ( lhs_atom24
  <=> is_verdict(unknown) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom24
    | $false ),
    inference(fold_definition,[status(thm)],[unknown_is_verdict_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> conflict != compatible ),
    inference(definition,[],[]) ).

fof(to_be_clausified_26,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[verdicts_distinct_cf_cp_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> conflict != unknown ),
    inference(definition,[],[]) ).

fof(to_be_clausified_27,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[verdicts_distinct_cf_un_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ( lhs_atom27
  <=> compatible != unknown ),
    inference(definition,[],[]) ).

fof(to_be_clausified_28,plain,
    ( lhs_atom27
    | $false ),
    inference(fold_definition,[status(thm)],[verdicts_distinct_cp_un_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V] :
      ( lhs_atom28(V)
    <=> ~ is_verdict(V) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_29,plain,
    ! [V] :
      ( lhs_atom28(V)
      | V = conflict
      | V = compatible
      | V = unknown ),
    inference(fold_definition,[status(thm)],[verdict_enum_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V2,V1] :
      ( lhs_atom29(V2,V1)
    <=> box_verdict(V1,V2) = conflict ),
    inference(definition,[],[]) ).

fof(to_be_clausified_30,plain,
    ! [V1,V2] :
      ( lhs_atom29(V2,V1)
      | ~ ( is_verdict(V1)
          & is_verdict(V2)
          & ( V1 = conflict
            | V2 = conflict ) ) ),
    inference(fold_definition,[status(thm)],[box_conflict_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V2,V1] :
      ( lhs_atom30(V2,V1)
    <=> box_verdict(V1,V2) = compatible ),
    inference(definition,[],[]) ).

fof(to_be_clausified_31,plain,
    ! [V1,V2] :
      ( lhs_atom30(V2,V1)
      | ~ ( is_verdict(V1)
          & is_verdict(V2)
          & V1 = compatible
          & V2 = compatible ) ),
    inference(fold_definition,[status(thm)],[box_compatible_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V2,V1] :
      ( lhs_atom31(V2,V1)
    <=> box_verdict(V1,V2) = unknown ),
    inference(definition,[],[]) ).

fof(to_be_clausified_32,plain,
    ! [V1,V2] :
      ( lhs_atom31(V2,V1)
      | ~ ( is_verdict(V1)
          & is_verdict(V2)
          & ( V1 = unknown
            | V2 = unknown )
          & V1 != conflict
          & V2 != conflict ) ),
    inference(fold_definition,[status(thm)],[box_unknown_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ( lhs_atom32
  <=> is_ep_type(c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_33,plain,
    ( lhs_atom32
    | $false ),
    inference(fold_definition,[status(thm)],[ep_c_is_ep_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ( lhs_atom33
  <=> is_ep_type(o) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_34,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[ep_o_is_ep_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ( lhs_atom34
  <=> c != o ),
    inference(definition,[],[]) ).

fof(to_be_clausified_35,plain,
    ( lhs_atom34
    | $false ),
    inference(fold_definition,[status(thm)],[ep_types_distinct_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [T] :
      ( lhs_atom35(T)
    <=> ~ is_ep_type(T) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_36,plain,
    ! [T] :
      ( lhs_atom35(T)
      | T = c
      | T = o ),
    inference(fold_definition,[status(thm)],[ep_type_enum_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [U,L] :
      ( lhs_atom36(U,L)
    <=> ~ prec(U,L,c,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_37,plain,
    ! [L,U] :
      ( lhs_atom36(U,L)
      | less(U,L) ),
    inference(fold_definition,[status(thm)],[prec_cc_1,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [U,L] :
      ( lhs_atom37(U,L)
    <=> prec(U,L,c,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_38,plain,
    ! [L,U] :
      ( lhs_atom37(U,L)
      | ~ less(U,L) ),
    inference(fold_definition,[status(thm)],[prec_cc_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [U,L] :
      ( lhs_atom38(U,L)
    <=> ~ prec(U,L,o,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_39,plain,
    ! [L,U] :
      ( lhs_atom38(U,L)
      | leq(U,L) ),
    inference(fold_definition,[status(thm)],[prec_oc_1,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [U,L] :
      ( lhs_atom39(U,L)
    <=> prec(U,L,o,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_40,plain,
    ! [L,U] :
      ( lhs_atom39(U,L)
      | ~ leq(U,L) ),
    inference(fold_definition,[status(thm)],[prec_oc_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [U,L] :
      ( lhs_atom40(U,L)
    <=> ~ prec(U,L,c,o) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_41,plain,
    ! [L,U] :
      ( lhs_atom40(U,L)
      | leq(U,L) ),
    inference(fold_definition,[status(thm)],[prec_co_1,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [U,L] :
      ( lhs_atom41(U,L)
    <=> prec(U,L,c,o) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_42,plain,
    ! [L,U] :
      ( lhs_atom41(U,L)
      | ~ leq(U,L) ),
    inference(fold_definition,[status(thm)],[prec_co_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [U,L] :
      ( lhs_atom42(U,L)
    <=> ~ prec(U,L,o,o) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_43,plain,
    ! [L,U] :
      ( lhs_atom42(U,L)
      | leq(U,L) ),
    inference(fold_definition,[status(thm)],[prec_oo_1,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [U,L] :
      ( lhs_atom43(U,L)
    <=> prec(U,L,o,o) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_44,plain,
    ! [L,U] :
      ( lhs_atom43(U,L)
      | ~ leq(U,L) ),
    inference(fold_definition,[status(thm)],[prec_oo_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [U2,U1,L2,L1,CU2,CU1,CL2,CL1] :
      ( lhs_atom44(U2,U1,L2,L1,CU2,CU1,CL2,CL1)
    <=> ~ disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_45,plain,
    ! [CL1,CL2,CU1,CU2,L1,L2,U1,U2] :
      ( lhs_atom44(U2,U1,L2,L1,CU2,CU1,CL2,CL1)
      | prec(U1,L2,CU1,CL2)
      | prec(U2,L1,CU2,CL1) ),
    inference(fold_definition,[status(thm)],[disjoint_def_1,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [U2,U1,L2,L1,CU2,CU1,CL2,CL1] :
      ( lhs_atom45(U2,U1,L2,L1,CU2,CU1,CL2,CL1)
    <=> disjoint(L1,U1,CL1,CU1,L2,U2,CL2,CU2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_46,plain,
    ! [CL1,CL2,CU1,CU2,L1,L2,U1,U2] :
      ( lhs_atom45(U2,U1,L2,L1,CU2,CU1,CL2,CL1)
      | ~ ( prec(U1,L2,CU1,CL2)
          | prec(U2,L1,CU2,CL1) ) ),
    inference(fold_definition,[status(thm)],[disjoint_def_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ( lhs_atom46
  <=> lower_tag(eq,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom46
    | $false ),
    inference(fold_definition,[status(thm)],[lower_tag_eq_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ( lhs_atom47
  <=> lower_tag(lteq,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[lower_tag_lteq_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> lower_tag(gteq,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[lower_tag_gteq_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> lower_tag(lt,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[lower_tag_lt_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> lower_tag(gt,o) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[lower_tag_gt_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> upper_tag(eq,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[upper_tag_eq_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> upper_tag(lteq,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[upper_tag_lteq_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> upper_tag(gteq,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[upper_tag_gteq_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> upper_tag(lt,o) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[upper_tag_lt_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> upper_tag(gt,c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[upper_tag_gt_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> val(v5) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[val_v5_0,def_lhs_atom56]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( lhs_atom44(X16,X17,X18,X19,X20,X21,X22,X23)
      | prec(X17,X18,X21,X22)
      | prec(X16,X19,X20,X23) ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_1,axiom,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( lhs_atom45(X16,X17,X18,X19,X20,X21,X22,X23)
      | ~ ( prec(X17,X18,X21,X22)
          | prec(X16,X19,X20,X23) ) ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_2,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom21(X6,X7,X8,X9)
      | ~ ! [X1] :
            ( in_closed(X1,X8,X9)
           => in_closed(X1,X6,X7) ) ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_3,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom18(X6,X7,X8,X9)
      | ? [X1] :
          ( in_closed(X1,X8,X9)
          & in_closed(X1,X6,X7) ) ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_4,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom17(X6,X7,X8,X9)
      | ? [X1] :
          ( in_closed(X1,X8,X9)
          & in_closed(X1,X6,X7) ) ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_5,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom19(X6,X7,X8,X9)
      | ~ ? [X1] :
            ( in_closed(X1,X8,X9)
            & in_closed(X1,X6,X7) ) ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_6,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom16(X6,X7,X8,X9)
      | ~ ? [X1] :
            ( in_closed(X1,X8,X9)
            & in_closed(X1,X6,X7) ) ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_7,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom20(X6,X7,X8,X9)
      | ! [X1] :
          ( in_closed(X1,X8,X9)
         => in_closed(X1,X6,X7) ) ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_8,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom15(X1,X4,X5)
      | ~ ( less(X5,X1)
          & less(X1,X4) ) ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_9,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom13(X1,X4,X5)
      | ~ ( leq(X5,X1)
          & less(X1,X4) ) ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_10,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom11(X1,X4,X5)
      | ~ ( less(X5,X1)
          & leq(X1,X4) ) ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_11,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom9(X1,X4,X5)
      | ~ ( leq(X5,X1)
          & leq(X1,X4) ) ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_12,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom14(X1,X4,X5)
      | ( less(X5,X1)
        & less(X1,X4) ) ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_13,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom12(X1,X4,X5)
      | ( leq(X5,X1)
        & less(X1,X4) ) ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_14,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom10(X1,X4,X5)
      | ( less(X5,X1)
        & leq(X1,X4) ) ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_15,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom8(X1,X4,X5)
      | ( leq(X5,X1)
        & leq(X1,X4) ) ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_16,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom7(X2,X1)
      | ~ ( leq(X1,X3)
          & leq(X3,X2) ) ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_17,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( less(X1,X3)
          & leq(X3,X2) ) ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_18,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( leq(X1,X3)
          & less(X3,X2) ) ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_19,axiom,
    ! [X3,X1] :
      ( lhs_atom5(X3,X1)
      | ~ ( leq(X1,X3)
          & leq(X3,X1) ) ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_20,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( less(X1,X3)
          & less(X3,X2) ) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_21,axiom,
    ! [X14,X15] :
      ( lhs_atom43(X14,X15)
      | ~ leq(X14,X15) ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_22,axiom,
    ! [X14,X15] :
      ( lhs_atom41(X14,X15)
      | ~ leq(X14,X15) ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_23,axiom,
    ! [X14,X15] :
      ( lhs_atom39(X14,X15)
      | ~ leq(X14,X15) ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_24,axiom,
    ! [X14,X15] :
      ( lhs_atom37(X14,X15)
      | ~ less(X14,X15) ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_25,axiom,
    ! [X3,X1] :
      ( lhs_atom4(X3,X1)
      | ~ ( less(X1,X3)
          | X1 = X3 ) ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_26,axiom,
    ! [X11,X12] :
      ( lhs_atom31(X11,X12)
      | ~ ( is_verdict(X12)
          & is_verdict(X11)
          & ( X12 = unknown
            | X11 = unknown )
          & X12 != conflict
          & X11 != conflict ) ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_27,axiom,
    ! [X11,X12] :
      ( lhs_atom30(X11,X12)
      | ~ ( is_verdict(X12)
          & is_verdict(X11)
          & X12 = compatible
          & X11 = compatible ) ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_28,axiom,
    ! [X11,X12] :
      ( lhs_atom29(X11,X12)
      | ~ ( is_verdict(X12)
          & is_verdict(X11)
          & ( X12 = conflict
            | X11 = conflict ) ) ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_29,axiom,
    ! [X3,X1] :
      ( lhs_atom3(X3,X1)
      | less(X1,X3)
      | X1 = X3 ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_30,axiom,
    ! [X14,X15] :
      ( lhs_atom42(X14,X15)
      | leq(X14,X15) ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_31,axiom,
    ! [X14,X15] :
      ( lhs_atom40(X14,X15)
      | leq(X14,X15) ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_32,axiom,
    ! [X14,X15] :
      ( lhs_atom38(X14,X15)
      | leq(X14,X15) ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_33,axiom,
    ! [X14,X15] :
      ( lhs_atom36(X14,X15)
      | less(X14,X15) ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_34,axiom,
    ! [X3,X1] :
      ( lhs_atom6(X3,X1)
      | leq(X1,X3) ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_35,axiom,
    ! [X10] :
      ( lhs_atom28(X10)
      | X10 = conflict
      | X10 = compatible
      | X10 = unknown ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_36,axiom,
    ! [X13] :
      ( lhs_atom35(X13)
      | X13 = c
      | X13 = o ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_37,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_38,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_39,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_40,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_41,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_42,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_43,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_44,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_45,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_46,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_47,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_48,axiom,
    ( lhs_atom46
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_49,axiom,
    ( lhs_atom34
    | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_50,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_51,axiom,
    ( lhs_atom32
    | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_52,axiom,
    ( lhs_atom27
    | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_53,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_54,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_55,axiom,
    ( lhs_atom24
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_56,axiom,
    ( lhs_atom23
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_57,axiom,
    ( lhs_atom22
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_58,axiom,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( lhs_atom44(X16,X17,X18,X19,X20,X21,X22,X23)
      | prec(X17,X18,X21,X22)
      | prec(X16,X19,X20,X23) ),
    c_0_0 ).

fof(c_0_59,axiom,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( lhs_atom45(X16,X17,X18,X19,X20,X21,X22,X23)
      | ~ ( prec(X17,X18,X21,X22)
          | prec(X16,X19,X20,X23) ) ),
    c_0_1 ).

fof(c_0_60,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom21(X6,X7,X8,X9)
      | ~ ! [X1] :
            ( in_closed(X1,X8,X9)
           => in_closed(X1,X6,X7) ) ),
    c_0_2 ).

fof(c_0_61,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom18(X6,X7,X8,X9)
      | ? [X1] :
          ( in_closed(X1,X8,X9)
          & in_closed(X1,X6,X7) ) ),
    c_0_3 ).

fof(c_0_62,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom17(X6,X7,X8,X9)
      | ? [X1] :
          ( in_closed(X1,X8,X9)
          & in_closed(X1,X6,X7) ) ),
    c_0_4 ).

fof(c_0_63,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom19(X6,X7,X8,X9)
      | ~ ? [X1] :
            ( in_closed(X1,X8,X9)
            & in_closed(X1,X6,X7) ) ),
    c_0_5 ).

fof(c_0_64,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom16(X6,X7,X8,X9)
      | ~ ? [X1] :
            ( in_closed(X1,X8,X9)
            & in_closed(X1,X6,X7) ) ),
    c_0_6 ).

fof(c_0_65,axiom,
    ! [X6,X7,X8,X9] :
      ( lhs_atom20(X6,X7,X8,X9)
      | ! [X1] :
          ( in_closed(X1,X8,X9)
         => in_closed(X1,X6,X7) ) ),
    c_0_7 ).

fof(c_0_66,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom15(X1,X4,X5)
      | ~ ( less(X5,X1)
          & less(X1,X4) ) ),
    c_0_8 ).

fof(c_0_67,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom13(X1,X4,X5)
      | ~ ( leq(X5,X1)
          & less(X1,X4) ) ),
    c_0_9 ).

fof(c_0_68,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom11(X1,X4,X5)
      | ~ ( less(X5,X1)
          & leq(X1,X4) ) ),
    c_0_10 ).

fof(c_0_69,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom9(X1,X4,X5)
      | ~ ( leq(X5,X1)
          & leq(X1,X4) ) ),
    c_0_11 ).

fof(c_0_70,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom14(X1,X4,X5)
      | ( less(X5,X1)
        & less(X1,X4) ) ),
    c_0_12 ).

fof(c_0_71,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom12(X1,X4,X5)
      | ( leq(X5,X1)
        & less(X1,X4) ) ),
    c_0_13 ).

fof(c_0_72,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom10(X1,X4,X5)
      | ( less(X5,X1)
        & leq(X1,X4) ) ),
    c_0_14 ).

fof(c_0_73,axiom,
    ! [X1,X4,X5] :
      ( lhs_atom8(X1,X4,X5)
      | ( leq(X5,X1)
        & leq(X1,X4) ) ),
    c_0_15 ).

fof(c_0_74,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom7(X2,X1)
      | ~ ( leq(X1,X3)
          & leq(X3,X2) ) ),
    c_0_16 ).

fof(c_0_75,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( less(X1,X3)
          & leq(X3,X2) ) ),
    c_0_17 ).

fof(c_0_76,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( leq(X1,X3)
          & less(X3,X2) ) ),
    c_0_18 ).

fof(c_0_77,axiom,
    ! [X3,X1] :
      ( lhs_atom5(X3,X1)
      | ~ ( leq(X1,X3)
          & leq(X3,X1) ) ),
    c_0_19 ).

fof(c_0_78,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( less(X1,X3)
          & less(X3,X2) ) ),
    c_0_20 ).

fof(c_0_79,plain,
    ! [X14,X15] :
      ( lhs_atom43(X14,X15)
      | ~ leq(X14,X15) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_80,plain,
    ! [X14,X15] :
      ( lhs_atom41(X14,X15)
      | ~ leq(X14,X15) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_81,plain,
    ! [X14,X15] :
      ( lhs_atom39(X14,X15)
      | ~ leq(X14,X15) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_82,plain,
    ! [X14,X15] :
      ( lhs_atom37(X14,X15)
      | ~ less(X14,X15) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_83,axiom,
    ! [X3,X1] :
      ( lhs_atom4(X3,X1)
      | ~ ( less(X1,X3)
          | X1 = X3 ) ),
    c_0_25 ).

fof(c_0_84,axiom,
    ! [X11,X12] :
      ( lhs_atom31(X11,X12)
      | ~ ( is_verdict(X12)
          & is_verdict(X11)
          & ( X12 = unknown
            | X11 = unknown )
          & X12 != conflict
          & X11 != conflict ) ),
    c_0_26 ).

fof(c_0_85,axiom,
    ! [X11,X12] :
      ( lhs_atom30(X11,X12)
      | ~ ( is_verdict(X12)
          & is_verdict(X11)
          & X12 = compatible
          & X11 = compatible ) ),
    c_0_27 ).

fof(c_0_86,axiom,
    ! [X11,X12] :
      ( lhs_atom29(X11,X12)
      | ~ ( is_verdict(X12)
          & is_verdict(X11)
          & ( X12 = conflict
            | X11 = conflict ) ) ),
    c_0_28 ).

fof(c_0_87,axiom,
    ! [X3,X1] :
      ( lhs_atom3(X3,X1)
      | less(X1,X3)
      | X1 = X3 ),
    c_0_29 ).

fof(c_0_88,axiom,
    ! [X14,X15] :
      ( lhs_atom42(X14,X15)
      | leq(X14,X15) ),
    c_0_30 ).

fof(c_0_89,axiom,
    ! [X14,X15] :
      ( lhs_atom40(X14,X15)
      | leq(X14,X15) ),
    c_0_31 ).

fof(c_0_90,axiom,
    ! [X14,X15] :
      ( lhs_atom38(X14,X15)
      | leq(X14,X15) ),
    c_0_32 ).

fof(c_0_91,axiom,
    ! [X14,X15] :
      ( lhs_atom36(X14,X15)
      | less(X14,X15) ),
    c_0_33 ).

fof(c_0_92,axiom,
    ! [X3,X1] :
      ( lhs_atom6(X3,X1)
      | leq(X1,X3) ),
    c_0_34 ).

fof(c_0_93,axiom,
    ! [X10] :
      ( lhs_atom28(X10)
      | X10 = conflict
      | X10 = compatible
      | X10 = unknown ),
    c_0_35 ).

fof(c_0_94,axiom,
    ! [X13] :
      ( lhs_atom35(X13)
      | X13 = c
      | X13 = o ),
    c_0_36 ).

fof(c_0_95,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_96,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_97,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_98,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_99,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_100,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_101,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_102,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_103,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_104,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_105,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_106,plain,
    lhs_atom46,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_107,plain,
    lhs_atom34,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_108,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_109,plain,
    lhs_atom32,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_110,plain,
    lhs_atom27,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_111,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_112,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_113,plain,
    lhs_atom24,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_114,plain,
    lhs_atom23,
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_115,plain,
    lhs_atom22,
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_116,plain,
    ! [X24,X25,X26,X27,X28,X29,X30,X31] :
      ( lhs_atom44(X24,X25,X26,X27,X28,X29,X30,X31)
      | prec(X25,X26,X29,X30)
      | prec(X24,X27,X28,X31) ),
    inference(variable_rename,[status(thm)],[c_0_58]) ).

fof(c_0_117,plain,
    ! [X24,X25,X26,X27,X28,X29,X30,X31] :
      ( ( ~ prec(X25,X26,X29,X30)
        | lhs_atom45(X24,X25,X26,X27,X28,X29,X30,X31) )
      & ( ~ prec(X24,X27,X28,X31)
        | lhs_atom45(X24,X25,X26,X27,X28,X29,X30,X31) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).

fof(c_0_118,plain,
    ! [X10,X11,X12,X13] :
      ( ( in_closed(esk3_4(X10,X11,X12,X13),X12,X13)
        | lhs_atom21(X10,X11,X12,X13) )
      & ( ~ in_closed(esk3_4(X10,X11,X12,X13),X10,X11)
        | lhs_atom21(X10,X11,X12,X13) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).

fof(c_0_119,plain,
    ! [X10,X11,X12,X13] :
      ( ( in_closed(esk2_4(X10,X11,X12,X13),X12,X13)
        | lhs_atom18(X10,X11,X12,X13) )
      & ( in_closed(esk2_4(X10,X11,X12,X13),X10,X11)
        | lhs_atom18(X10,X11,X12,X13) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_61])])]) ).

fof(c_0_120,plain,
    ! [X10,X11,X12,X13] :
      ( ( in_closed(esk1_4(X10,X11,X12,X13),X12,X13)
        | lhs_atom17(X10,X11,X12,X13) )
      & ( in_closed(esk1_4(X10,X11,X12,X13),X10,X11)
        | lhs_atom17(X10,X11,X12,X13) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_62])])]) ).

fof(c_0_121,plain,
    ! [X10,X11,X12,X13,X14] :
      ( lhs_atom19(X10,X11,X12,X13)
      | ~ in_closed(X14,X12,X13)
      | ~ in_closed(X14,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).

fof(c_0_122,plain,
    ! [X10,X11,X12,X13,X14] :
      ( lhs_atom16(X10,X11,X12,X13)
      | ~ in_closed(X14,X12,X13)
      | ~ in_closed(X14,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).

fof(c_0_123,plain,
    ! [X10,X11,X12,X13,X14] :
      ( lhs_atom20(X10,X11,X12,X13)
      | ~ in_closed(X14,X12,X13)
      | in_closed(X14,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).

fof(c_0_124,plain,
    ! [X6,X7,X8] :
      ( lhs_atom15(X6,X7,X8)
      | ~ less(X8,X6)
      | ~ less(X6,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).

fof(c_0_125,plain,
    ! [X6,X7,X8] :
      ( lhs_atom13(X6,X7,X8)
      | ~ leq(X8,X6)
      | ~ less(X6,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])]) ).

fof(c_0_126,plain,
    ! [X6,X7,X8] :
      ( lhs_atom11(X6,X7,X8)
      | ~ less(X8,X6)
      | ~ leq(X6,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).

fof(c_0_127,plain,
    ! [X6,X7,X8] :
      ( lhs_atom9(X6,X7,X8)
      | ~ leq(X8,X6)
      | ~ leq(X6,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).

fof(c_0_128,plain,
    ! [X6,X7,X8] :
      ( ( less(X8,X6)
        | lhs_atom14(X6,X7,X8) )
      & ( less(X6,X7)
        | lhs_atom14(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_70])]) ).

fof(c_0_129,plain,
    ! [X6,X7,X8] :
      ( ( leq(X8,X6)
        | lhs_atom12(X6,X7,X8) )
      & ( less(X6,X7)
        | lhs_atom12(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_71])]) ).

fof(c_0_130,plain,
    ! [X6,X7,X8] :
      ( ( less(X8,X6)
        | lhs_atom10(X6,X7,X8) )
      & ( leq(X6,X7)
        | lhs_atom10(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_72])]) ).

fof(c_0_131,plain,
    ! [X6,X7,X8] :
      ( ( leq(X8,X6)
        | lhs_atom8(X6,X7,X8) )
      & ( leq(X6,X7)
        | lhs_atom8(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_73])]) ).

fof(c_0_132,plain,
    ! [X4,X5,X6] :
      ( lhs_atom7(X4,X6)
      | ~ leq(X6,X5)
      | ~ leq(X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])]) ).

fof(c_0_133,plain,
    ! [X4,X5,X6] :
      ( lhs_atom2(X4,X6)
      | ~ less(X6,X5)
      | ~ leq(X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])]) ).

fof(c_0_134,plain,
    ! [X4,X5,X6] :
      ( lhs_atom2(X4,X6)
      | ~ leq(X6,X5)
      | ~ less(X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])]) ).

fof(c_0_135,plain,
    ! [X4,X5] :
      ( lhs_atom5(X4,X5)
      | ~ leq(X5,X4)
      | ~ leq(X4,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).

fof(c_0_136,plain,
    ! [X4,X5,X6] :
      ( lhs_atom2(X4,X6)
      | ~ less(X6,X5)
      | ~ less(X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])]) ).

fof(c_0_137,plain,
    ! [X16,X17] :
      ( lhs_atom43(X16,X17)
      | ~ leq(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_79]) ).

fof(c_0_138,plain,
    ! [X16,X17] :
      ( lhs_atom41(X16,X17)
      | ~ leq(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_80]) ).

fof(c_0_139,plain,
    ! [X16,X17] :
      ( lhs_atom39(X16,X17)
      | ~ leq(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_81]) ).

fof(c_0_140,plain,
    ! [X16,X17] :
      ( lhs_atom37(X16,X17)
      | ~ less(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_82]) ).

fof(c_0_141,plain,
    ! [X4,X5] :
      ( ( ~ less(X5,X4)
        | lhs_atom4(X4,X5) )
      & ( X5 != X4
        | lhs_atom4(X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])]) ).

fof(c_0_142,plain,
    ! [X13,X14] :
      ( ( X14 != unknown
        | X14 = conflict
        | X13 = conflict
        | ~ is_verdict(X13)
        | ~ is_verdict(X14)
        | lhs_atom31(X13,X14) )
      & ( X13 != unknown
        | X14 = conflict
        | X13 = conflict
        | ~ is_verdict(X13)
        | ~ is_verdict(X14)
        | lhs_atom31(X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])]) ).

fof(c_0_143,plain,
    ! [X13,X14] :
      ( lhs_atom30(X13,X14)
      | ~ is_verdict(X14)
      | ~ is_verdict(X13)
      | X14 != compatible
      | X13 != compatible ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).

fof(c_0_144,plain,
    ! [X13,X14] :
      ( ( X14 != conflict
        | ~ is_verdict(X13)
        | ~ is_verdict(X14)
        | lhs_atom29(X13,X14) )
      & ( X13 != conflict
        | ~ is_verdict(X13)
        | ~ is_verdict(X14)
        | lhs_atom29(X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])]) ).

fof(c_0_145,plain,
    ! [X4,X5] :
      ( lhs_atom3(X4,X5)
      | less(X5,X4)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_87]) ).

fof(c_0_146,plain,
    ! [X16,X17] :
      ( lhs_atom42(X16,X17)
      | leq(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_88]) ).

fof(c_0_147,plain,
    ! [X16,X17] :
      ( lhs_atom40(X16,X17)
      | leq(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_89]) ).

fof(c_0_148,plain,
    ! [X16,X17] :
      ( lhs_atom38(X16,X17)
      | leq(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_90]) ).

fof(c_0_149,plain,
    ! [X16,X17] :
      ( lhs_atom36(X16,X17)
      | less(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_91]) ).

fof(c_0_150,plain,
    ! [X4,X5] :
      ( lhs_atom6(X4,X5)
      | leq(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_92]) ).

fof(c_0_151,plain,
    ! [X11] :
      ( lhs_atom28(X11)
      | X11 = conflict
      | X11 = compatible
      | X11 = unknown ),
    inference(variable_rename,[status(thm)],[c_0_93]) ).

fof(c_0_152,plain,
    ! [X14] :
      ( lhs_atom35(X14)
      | X14 = c
      | X14 = o ),
    inference(variable_rename,[status(thm)],[c_0_94]) ).

fof(c_0_153,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_95]) ).

fof(c_0_154,plain,
    lhs_atom56,
    c_0_96 ).

fof(c_0_155,plain,
    lhs_atom55,
    c_0_97 ).

fof(c_0_156,plain,
    lhs_atom54,
    c_0_98 ).

fof(c_0_157,plain,
    lhs_atom53,
    c_0_99 ).

fof(c_0_158,plain,
    lhs_atom52,
    c_0_100 ).

fof(c_0_159,plain,
    lhs_atom51,
    c_0_101 ).

fof(c_0_160,plain,
    lhs_atom50,
    c_0_102 ).

fof(c_0_161,plain,
    lhs_atom49,
    c_0_103 ).

fof(c_0_162,plain,
    lhs_atom48,
    c_0_104 ).

fof(c_0_163,plain,
    lhs_atom47,
    c_0_105 ).

fof(c_0_164,plain,
    lhs_atom46,
    c_0_106 ).

fof(c_0_165,plain,
    lhs_atom34,
    c_0_107 ).

fof(c_0_166,plain,
    lhs_atom33,
    c_0_108 ).

fof(c_0_167,plain,
    lhs_atom32,
    c_0_109 ).

fof(c_0_168,plain,
    lhs_atom27,
    c_0_110 ).

fof(c_0_169,plain,
    lhs_atom26,
    c_0_111 ).

fof(c_0_170,plain,
    lhs_atom25,
    c_0_112 ).

fof(c_0_171,plain,
    lhs_atom24,
    c_0_113 ).

fof(c_0_172,plain,
    lhs_atom23,
    c_0_114 ).

fof(c_0_173,plain,
    lhs_atom22,
    c_0_115 ).

cnf(c_0_174,plain,
    ( prec(X1,X2,X3,X4)
    | prec(X5,X6,X7,X8)
    | lhs_atom44(X1,X5,X6,X2,X3,X7,X8,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_175,plain,
    ( lhs_atom45(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ prec(X2,X3,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_176,plain,
    ( lhs_atom45(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ prec(X1,X4,X5,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_177,plain,
    ( lhs_atom21(X1,X2,X3,X4)
    | ~ in_closed(esk3_4(X1,X2,X3,X4),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_178,plain,
    ( lhs_atom21(X1,X2,X3,X4)
    | in_closed(esk3_4(X1,X2,X3,X4),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_179,plain,
    ( lhs_atom18(X1,X2,X3,X4)
    | in_closed(esk2_4(X1,X2,X3,X4),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_180,plain,
    ( lhs_atom18(X1,X2,X3,X4)
    | in_closed(esk2_4(X1,X2,X3,X4),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_181,plain,
    ( lhs_atom17(X1,X2,X3,X4)
    | in_closed(esk1_4(X1,X2,X3,X4),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_182,plain,
    ( lhs_atom17(X1,X2,X3,X4)
    | in_closed(esk1_4(X1,X2,X3,X4),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_183,plain,
    ( lhs_atom19(X2,X3,X4,X5)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_184,plain,
    ( lhs_atom16(X2,X3,X4,X5)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_185,plain,
    ( in_closed(X1,X2,X3)
    | lhs_atom20(X2,X3,X4,X5)
    | ~ in_closed(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_186,plain,
    ( lhs_atom15(X1,X2,X3)
    | ~ less(X1,X2)
    | ~ less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_187,plain,
    ( lhs_atom13(X1,X2,X3)
    | ~ less(X1,X2)
    | ~ leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_188,plain,
    ( lhs_atom11(X1,X2,X3)
    | ~ leq(X1,X2)
    | ~ less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_189,plain,
    ( lhs_atom9(X1,X2,X3)
    | ~ leq(X1,X2)
    | ~ leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_190,plain,
    ( lhs_atom14(X1,X2,X3)
    | less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_191,plain,
    ( lhs_atom14(X1,X2,X3)
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_192,plain,
    ( lhs_atom12(X1,X2,X3)
    | leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_193,plain,
    ( lhs_atom12(X1,X2,X3)
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_194,plain,
    ( lhs_atom10(X1,X2,X3)
    | less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_195,plain,
    ( lhs_atom10(X1,X2,X3)
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_196,plain,
    ( lhs_atom8(X1,X2,X3)
    | leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_197,plain,
    ( lhs_atom8(X1,X2,X3)
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_198,plain,
    ( lhs_atom7(X2,X3)
    | ~ leq(X1,X2)
    | ~ leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_199,plain,
    ( lhs_atom2(X2,X3)
    | ~ leq(X1,X2)
    | ~ less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_200,plain,
    ( lhs_atom2(X2,X3)
    | ~ less(X1,X2)
    | ~ leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_201,plain,
    ( lhs_atom5(X1,X2)
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_202,plain,
    ( lhs_atom2(X2,X3)
    | ~ less(X1,X2)
    | ~ less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_203,plain,
    ( lhs_atom43(X1,X2)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_204,plain,
    ( lhs_atom41(X1,X2)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_205,plain,
    ( lhs_atom39(X1,X2)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_206,plain,
    ( lhs_atom37(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_207,plain,
    ( lhs_atom4(X1,X2)
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_208,plain,
    ( lhs_atom31(X1,X2)
    | X1 = conflict
    | X2 = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X2 != unknown ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_209,plain,
    ( lhs_atom31(X1,X2)
    | X1 = conflict
    | X2 = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X1 != unknown ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_210,plain,
    ( lhs_atom30(X1,X2)
    | X1 != compatible
    | X2 != compatible
    | ~ is_verdict(X1)
    | ~ is_verdict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_211,plain,
    ( lhs_atom29(X1,X2)
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X2 != conflict ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_212,plain,
    ( lhs_atom29(X1,X2)
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X1 != conflict ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_213,plain,
    ( X1 = X2
    | less(X1,X2)
    | lhs_atom3(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_214,plain,
    ( leq(X1,X2)
    | lhs_atom42(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_215,plain,
    ( leq(X1,X2)
    | lhs_atom40(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_216,plain,
    ( leq(X1,X2)
    | lhs_atom38(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_217,plain,
    ( less(X1,X2)
    | lhs_atom36(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_218,plain,
    ( leq(X1,X2)
    | lhs_atom6(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_219,plain,
    ( lhs_atom4(X1,X2)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_220,plain,
    ( X1 = unknown
    | X1 = compatible
    | X1 = conflict
    | lhs_atom28(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_221,plain,
    ( X1 = o
    | X1 = c
    | lhs_atom35(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_222,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_223,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_224,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_225,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_226,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_227,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_228,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_229,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_230,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_231,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_232,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_233,plain,
    lhs_atom46,
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_234,plain,
    lhs_atom34,
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_235,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_236,plain,
    lhs_atom32,
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_237,plain,
    lhs_atom27,
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_238,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_239,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_240,plain,
    lhs_atom24,
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_241,plain,
    lhs_atom23,
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_242,plain,
    lhs_atom22,
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_243,plain,
    ( prec(X1,X2,X3,X4)
    | prec(X5,X6,X7,X8)
    | lhs_atom44(X1,X5,X6,X2,X3,X7,X8,X4) ),
    c_0_174,
    [final] ).

cnf(c_0_244,plain,
    ( lhs_atom45(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ prec(X2,X3,X6,X7) ),
    c_0_175,
    [final] ).

cnf(c_0_245,plain,
    ( lhs_atom45(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ prec(X1,X4,X5,X8) ),
    c_0_176,
    [final] ).

cnf(c_0_246,plain,
    ( lhs_atom21(X1,X2,X3,X4)
    | ~ in_closed(esk3_4(X1,X2,X3,X4),X1,X2) ),
    c_0_177,
    [final] ).

cnf(c_0_247,plain,
    ( lhs_atom21(X1,X2,X3,X4)
    | in_closed(esk3_4(X1,X2,X3,X4),X3,X4) ),
    c_0_178,
    [final] ).

cnf(c_0_248,plain,
    ( lhs_atom18(X1,X2,X3,X4)
    | in_closed(esk2_4(X1,X2,X3,X4),X3,X4) ),
    c_0_179,
    [final] ).

cnf(c_0_249,plain,
    ( lhs_atom18(X1,X2,X3,X4)
    | in_closed(esk2_4(X1,X2,X3,X4),X1,X2) ),
    c_0_180,
    [final] ).

cnf(c_0_250,plain,
    ( lhs_atom17(X1,X2,X3,X4)
    | in_closed(esk1_4(X1,X2,X3,X4),X3,X4) ),
    c_0_181,
    [final] ).

cnf(c_0_251,plain,
    ( lhs_atom17(X1,X2,X3,X4)
    | in_closed(esk1_4(X1,X2,X3,X4),X1,X2) ),
    c_0_182,
    [final] ).

cnf(c_0_252,plain,
    ( lhs_atom19(X2,X3,X4,X5)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    c_0_183,
    [final] ).

cnf(c_0_253,plain,
    ( lhs_atom16(X2,X3,X4,X5)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    c_0_184,
    [final] ).

cnf(c_0_254,plain,
    ( in_closed(X1,X2,X3)
    | lhs_atom20(X2,X3,X4,X5)
    | ~ in_closed(X1,X4,X5) ),
    c_0_185,
    [final] ).

cnf(c_0_255,plain,
    ( lhs_atom15(X1,X2,X3)
    | ~ less(X1,X2)
    | ~ less(X3,X1) ),
    c_0_186,
    [final] ).

cnf(c_0_256,plain,
    ( lhs_atom13(X1,X2,X3)
    | ~ less(X1,X2)
    | ~ leq(X3,X1) ),
    c_0_187,
    [final] ).

cnf(c_0_257,plain,
    ( lhs_atom11(X1,X2,X3)
    | ~ leq(X1,X2)
    | ~ less(X3,X1) ),
    c_0_188,
    [final] ).

cnf(c_0_258,plain,
    ( lhs_atom9(X1,X2,X3)
    | ~ leq(X1,X2)
    | ~ leq(X3,X1) ),
    c_0_189,
    [final] ).

cnf(c_0_259,plain,
    ( lhs_atom14(X1,X2,X3)
    | less(X3,X1) ),
    c_0_190,
    [final] ).

cnf(c_0_260,plain,
    ( lhs_atom14(X1,X2,X3)
    | less(X1,X2) ),
    c_0_191,
    [final] ).

cnf(c_0_261,plain,
    ( lhs_atom12(X1,X2,X3)
    | leq(X3,X1) ),
    c_0_192,
    [final] ).

cnf(c_0_262,plain,
    ( lhs_atom12(X1,X2,X3)
    | less(X1,X2) ),
    c_0_193,
    [final] ).

cnf(c_0_263,plain,
    ( lhs_atom10(X1,X2,X3)
    | less(X3,X1) ),
    c_0_194,
    [final] ).

cnf(c_0_264,plain,
    ( lhs_atom10(X1,X2,X3)
    | leq(X1,X2) ),
    c_0_195,
    [final] ).

cnf(c_0_265,plain,
    ( lhs_atom8(X1,X2,X3)
    | leq(X3,X1) ),
    c_0_196,
    [final] ).

cnf(c_0_266,plain,
    ( lhs_atom8(X1,X2,X3)
    | leq(X1,X2) ),
    c_0_197,
    [final] ).

cnf(c_0_267,plain,
    ( lhs_atom7(X2,X3)
    | ~ leq(X1,X2)
    | ~ leq(X3,X1) ),
    c_0_198,
    [final] ).

cnf(c_0_268,plain,
    ( lhs_atom2(X2,X3)
    | ~ leq(X1,X2)
    | ~ less(X3,X1) ),
    c_0_199,
    [final] ).

cnf(c_0_269,plain,
    ( lhs_atom2(X2,X3)
    | ~ less(X1,X2)
    | ~ leq(X3,X1) ),
    c_0_200,
    [final] ).

cnf(c_0_270,plain,
    ( lhs_atom5(X1,X2)
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    c_0_201,
    [final] ).

cnf(c_0_271,plain,
    ( lhs_atom2(X2,X3)
    | ~ less(X1,X2)
    | ~ less(X3,X1) ),
    c_0_202,
    [final] ).

cnf(c_0_272,plain,
    ( lhs_atom43(X1,X2)
    | ~ leq(X1,X2) ),
    c_0_203,
    [final] ).

cnf(c_0_273,plain,
    ( lhs_atom41(X1,X2)
    | ~ leq(X1,X2) ),
    c_0_204,
    [final] ).

cnf(c_0_274,plain,
    ( lhs_atom39(X1,X2)
    | ~ leq(X1,X2) ),
    c_0_205,
    [final] ).

cnf(c_0_275,plain,
    ( lhs_atom37(X1,X2)
    | ~ less(X1,X2) ),
    c_0_206,
    [final] ).

cnf(c_0_276,plain,
    ( lhs_atom4(X1,X2)
    | ~ less(X2,X1) ),
    c_0_207,
    [final] ).

cnf(c_0_277,plain,
    ( lhs_atom31(X1,X2)
    | X1 = conflict
    | X2 = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X2 != unknown ),
    c_0_208,
    [final] ).

cnf(c_0_278,plain,
    ( lhs_atom31(X1,X2)
    | X1 = conflict
    | X2 = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X1 != unknown ),
    c_0_209,
    [final] ).

cnf(c_0_279,plain,
    ( lhs_atom30(X1,X2)
    | X1 != compatible
    | X2 != compatible
    | ~ is_verdict(X1)
    | ~ is_verdict(X2) ),
    c_0_210,
    [final] ).

cnf(c_0_280,plain,
    ( lhs_atom29(X1,X2)
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X2 != conflict ),
    c_0_211,
    [final] ).

cnf(c_0_281,plain,
    ( lhs_atom29(X1,X2)
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X1 != conflict ),
    c_0_212,
    [final] ).

cnf(c_0_282,plain,
    ( X1 = X2
    | less(X1,X2)
    | lhs_atom3(X2,X1) ),
    c_0_213,
    [final] ).

cnf(c_0_283,plain,
    ( leq(X1,X2)
    | lhs_atom42(X1,X2) ),
    c_0_214,
    [final] ).

cnf(c_0_284,plain,
    ( leq(X1,X2)
    | lhs_atom40(X1,X2) ),
    c_0_215,
    [final] ).

cnf(c_0_285,plain,
    ( leq(X1,X2)
    | lhs_atom38(X1,X2) ),
    c_0_216,
    [final] ).

cnf(c_0_286,plain,
    ( less(X1,X2)
    | lhs_atom36(X1,X2) ),
    c_0_217,
    [final] ).

cnf(c_0_287,plain,
    ( leq(X1,X2)
    | lhs_atom6(X2,X1) ),
    c_0_218,
    [final] ).

cnf(c_0_288,plain,
    ( lhs_atom4(X1,X2)
    | X2 != X1 ),
    c_0_219,
    [final] ).

cnf(c_0_289,plain,
    ( X1 = unknown
    | X1 = compatible
    | X1 = conflict
    | lhs_atom28(X1) ),
    c_0_220,
    [final] ).

cnf(c_0_290,plain,
    ( X1 = o
    | X1 = c
    | lhs_atom35(X1) ),
    c_0_221,
    [final] ).

cnf(c_0_291,plain,
    lhs_atom1(X1),
    c_0_222,
    [final] ).

cnf(c_0_292,plain,
    lhs_atom56,
    c_0_223,
    [final] ).

cnf(c_0_293,plain,
    lhs_atom55,
    c_0_224,
    [final] ).

cnf(c_0_294,plain,
    lhs_atom54,
    c_0_225,
    [final] ).

cnf(c_0_295,plain,
    lhs_atom53,
    c_0_226,
    [final] ).

cnf(c_0_296,plain,
    lhs_atom52,
    c_0_227,
    [final] ).

cnf(c_0_297,plain,
    lhs_atom51,
    c_0_228,
    [final] ).

cnf(c_0_298,plain,
    lhs_atom50,
    c_0_229,
    [final] ).

cnf(c_0_299,plain,
    lhs_atom49,
    c_0_230,
    [final] ).

cnf(c_0_300,plain,
    lhs_atom48,
    c_0_231,
    [final] ).

cnf(c_0_301,plain,
    lhs_atom47,
    c_0_232,
    [final] ).

cnf(c_0_302,plain,
    lhs_atom46,
    c_0_233,
    [final] ).

cnf(c_0_303,plain,
    lhs_atom34,
    c_0_234,
    [final] ).

cnf(c_0_304,plain,
    lhs_atom33,
    c_0_235,
    [final] ).

cnf(c_0_305,plain,
    lhs_atom32,
    c_0_236,
    [final] ).

cnf(c_0_306,plain,
    lhs_atom27,
    c_0_237,
    [final] ).

cnf(c_0_307,plain,
    lhs_atom26,
    c_0_238,
    [final] ).

cnf(c_0_308,plain,
    lhs_atom25,
    c_0_239,
    [final] ).

cnf(c_0_309,plain,
    lhs_atom24,
    c_0_240,
    [final] ).

cnf(c_0_310,plain,
    lhs_atom23,
    c_0_241,
    [final] ).

cnf(c_0_311,plain,
    lhs_atom22,
    c_0_242,
    [final] ).

% End CNF derivation
cnf(c_0_243_0,axiom,
    ( ~ disjoint(X2,X5,X4,X7,X6,X1,X8,X3)
    | prec(X1,X2,X3,X4)
    | prec(X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_243,def_lhs_atom44]) ).

cnf(c_0_244_0,axiom,
    ( disjoint(X4,X2,X8,X6,X3,X1,X7,X5)
    | ~ prec(X2,X3,X6,X7) ),
    inference(unfold_definition,[status(thm)],[c_0_244,def_lhs_atom45]) ).

cnf(c_0_245_0,axiom,
    ( disjoint(X4,X2,X8,X6,X3,X1,X7,X5)
    | ~ prec(X1,X4,X5,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_245,def_lhs_atom45]) ).

cnf(c_0_246_0,axiom,
    ( axis_subsumes(X3,X4,X1,X2)
    | ~ in_closed(sk1_esk3_4(X1,X2,X3,X4),X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_246,def_lhs_atom21]) ).

cnf(c_0_247_0,axiom,
    ( axis_subsumes(X3,X4,X1,X2)
    | in_closed(sk1_esk3_4(X1,X2,X3,X4),X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_247,def_lhs_atom21]) ).

cnf(c_0_248_0,axiom,
    ( ~ axis_compatible(X3,X4,X1,X2)
    | in_closed(sk1_esk2_4(X1,X2,X3,X4),X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_248,def_lhs_atom18]) ).

cnf(c_0_249_0,axiom,
    ( ~ axis_compatible(X3,X4,X1,X2)
    | in_closed(sk1_esk2_4(X1,X2,X3,X4),X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_249,def_lhs_atom18]) ).

cnf(c_0_250_0,axiom,
    ( axis_conflict(X3,X4,X1,X2)
    | in_closed(sk1_esk1_4(X1,X2,X3,X4),X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_250,def_lhs_atom17]) ).

cnf(c_0_251_0,axiom,
    ( axis_conflict(X3,X4,X1,X2)
    | in_closed(sk1_esk1_4(X1,X2,X3,X4),X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_251,def_lhs_atom17]) ).

cnf(c_0_252_0,axiom,
    ( axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_252,def_lhs_atom19]) ).

cnf(c_0_253_0,axiom,
    ( ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_253,def_lhs_atom16]) ).

cnf(c_0_254_0,axiom,
    ( ~ axis_subsumes(X4,X5,X2,X3)
    | in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_254,def_lhs_atom20]) ).

cnf(c_0_255_0,axiom,
    ( in_open(X1,X3,X2)
    | ~ less(X1,X2)
    | ~ less(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_255,def_lhs_atom15]) ).

cnf(c_0_256_0,axiom,
    ( in_ropen(X1,X3,X2)
    | ~ less(X1,X2)
    | ~ leq(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_256,def_lhs_atom13]) ).

cnf(c_0_257_0,axiom,
    ( in_lopen(X1,X3,X2)
    | ~ leq(X1,X2)
    | ~ less(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_257,def_lhs_atom11]) ).

cnf(c_0_258_0,axiom,
    ( in_closed(X1,X3,X2)
    | ~ leq(X1,X2)
    | ~ leq(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_258,def_lhs_atom9]) ).

cnf(c_0_259_0,axiom,
    ( ~ in_open(X1,X3,X2)
    | less(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_259,def_lhs_atom14]) ).

cnf(c_0_260_0,axiom,
    ( ~ in_open(X1,X3,X2)
    | less(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_260,def_lhs_atom14]) ).

cnf(c_0_261_0,axiom,
    ( ~ in_ropen(X1,X3,X2)
    | leq(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_261,def_lhs_atom12]) ).

cnf(c_0_262_0,axiom,
    ( ~ in_ropen(X1,X3,X2)
    | less(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_262,def_lhs_atom12]) ).

cnf(c_0_263_0,axiom,
    ( ~ in_lopen(X1,X3,X2)
    | less(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_263,def_lhs_atom10]) ).

cnf(c_0_264_0,axiom,
    ( ~ in_lopen(X1,X3,X2)
    | leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_264,def_lhs_atom10]) ).

cnf(c_0_265_0,axiom,
    ( ~ in_closed(X1,X3,X2)
    | leq(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_265,def_lhs_atom8]) ).

cnf(c_0_266_0,axiom,
    ( ~ in_closed(X1,X3,X2)
    | leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_266,def_lhs_atom8]) ).

cnf(c_0_267_0,axiom,
    ( leq(X3,X2)
    | ~ leq(X1,X2)
    | ~ leq(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_267,def_lhs_atom7]) ).

cnf(c_0_268_0,axiom,
    ( less(X3,X2)
    | ~ leq(X1,X2)
    | ~ less(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_268,def_lhs_atom2]) ).

cnf(c_0_269_0,axiom,
    ( less(X3,X2)
    | ~ less(X1,X2)
    | ~ leq(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_269,def_lhs_atom2]) ).

cnf(c_0_270_0,axiom,
    ( X2 = X1
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_270,def_lhs_atom5]) ).

cnf(c_0_271_0,axiom,
    ( less(X3,X2)
    | ~ less(X1,X2)
    | ~ less(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_271,def_lhs_atom2]) ).

cnf(c_0_272_0,axiom,
    ( prec(X1,X2,o,o)
    | ~ leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_272,def_lhs_atom43]) ).

cnf(c_0_273_0,axiom,
    ( prec(X1,X2,c,o)
    | ~ leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_273,def_lhs_atom41]) ).

cnf(c_0_274_0,axiom,
    ( prec(X1,X2,o,c)
    | ~ leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_274,def_lhs_atom39]) ).

cnf(c_0_275_0,axiom,
    ( prec(X1,X2,c,c)
    | ~ less(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_275,def_lhs_atom37]) ).

cnf(c_0_276_0,axiom,
    ( leq(X2,X1)
    | ~ less(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_276,def_lhs_atom4]) ).

cnf(c_0_277_0,axiom,
    ( box_verdict(X2,X1) = unknown
    | X1 = conflict
    | X2 = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X2 != unknown ),
    inference(unfold_definition,[status(thm)],[c_0_277,def_lhs_atom31]) ).

cnf(c_0_278_0,axiom,
    ( box_verdict(X2,X1) = unknown
    | X1 = conflict
    | X2 = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X1 != unknown ),
    inference(unfold_definition,[status(thm)],[c_0_278,def_lhs_atom31]) ).

cnf(c_0_279_0,axiom,
    ( box_verdict(X2,X1) = compatible
    | X1 != compatible
    | X2 != compatible
    | ~ is_verdict(X1)
    | ~ is_verdict(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_279,def_lhs_atom30]) ).

cnf(c_0_280_0,axiom,
    ( box_verdict(X2,X1) = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X2 != conflict ),
    inference(unfold_definition,[status(thm)],[c_0_280,def_lhs_atom29]) ).

cnf(c_0_281_0,axiom,
    ( box_verdict(X2,X1) = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1)
    | X1 != conflict ),
    inference(unfold_definition,[status(thm)],[c_0_281,def_lhs_atom29]) ).

cnf(c_0_282_0,axiom,
    ( ~ leq(X1,X2)
    | X1 = X2
    | less(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_282,def_lhs_atom3]) ).

cnf(c_0_283_0,axiom,
    ( ~ prec(X1,X2,o,o)
    | leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_283,def_lhs_atom42]) ).

cnf(c_0_284_0,axiom,
    ( ~ prec(X1,X2,c,o)
    | leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_284,def_lhs_atom40]) ).

cnf(c_0_285_0,axiom,
    ( ~ prec(X1,X2,o,c)
    | leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_285,def_lhs_atom38]) ).

cnf(c_0_286_0,axiom,
    ( ~ prec(X1,X2,c,c)
    | less(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_286,def_lhs_atom36]) ).

cnf(c_0_287_0,axiom,
    ( ~ less(X1,X2)
    | leq(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_287,def_lhs_atom6]) ).

cnf(c_0_288_0,axiom,
    ( leq(X2,X1)
    | X2 != X1 ),
    inference(unfold_definition,[status(thm)],[c_0_288,def_lhs_atom4]) ).

cnf(c_0_289_0,axiom,
    ( ~ is_verdict(X1)
    | X1 = unknown
    | X1 = compatible
    | X1 = conflict ),
    inference(unfold_definition,[status(thm)],[c_0_289,def_lhs_atom28]) ).

cnf(c_0_290_0,axiom,
    ( ~ is_ep_type(X1)
    | X1 = o
    | X1 = c ),
    inference(unfold_definition,[status(thm)],[c_0_290,def_lhs_atom35]) ).

cnf(c_0_291_0,axiom,
    ~ less(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_291,def_lhs_atom1]) ).

cnf(c_0_292_0,axiom,
    val(v5),
    inference(unfold_definition,[status(thm)],[c_0_292,def_lhs_atom56]) ).

cnf(c_0_293_0,axiom,
    upper_tag(gt,c),
    inference(unfold_definition,[status(thm)],[c_0_293,def_lhs_atom55]) ).

cnf(c_0_294_0,axiom,
    upper_tag(lt,o),
    inference(unfold_definition,[status(thm)],[c_0_294,def_lhs_atom54]) ).

cnf(c_0_295_0,axiom,
    upper_tag(gteq,c),
    inference(unfold_definition,[status(thm)],[c_0_295,def_lhs_atom53]) ).

cnf(c_0_296_0,axiom,
    upper_tag(lteq,c),
    inference(unfold_definition,[status(thm)],[c_0_296,def_lhs_atom52]) ).

cnf(c_0_297_0,axiom,
    upper_tag(eq,c),
    inference(unfold_definition,[status(thm)],[c_0_297,def_lhs_atom51]) ).

cnf(c_0_298_0,axiom,
    lower_tag(gt,o),
    inference(unfold_definition,[status(thm)],[c_0_298,def_lhs_atom50]) ).

cnf(c_0_299_0,axiom,
    lower_tag(lt,c),
    inference(unfold_definition,[status(thm)],[c_0_299,def_lhs_atom49]) ).

cnf(c_0_300_0,axiom,
    lower_tag(gteq,c),
    inference(unfold_definition,[status(thm)],[c_0_300,def_lhs_atom48]) ).

cnf(c_0_301_0,axiom,
    lower_tag(lteq,c),
    inference(unfold_definition,[status(thm)],[c_0_301,def_lhs_atom47]) ).

cnf(c_0_302_0,axiom,
    lower_tag(eq,c),
    inference(unfold_definition,[status(thm)],[c_0_302,def_lhs_atom46]) ).

cnf(c_0_303_0,axiom,
    c != o,
    inference(unfold_definition,[status(thm)],[c_0_303,def_lhs_atom34]) ).

cnf(c_0_304_0,axiom,
    is_ep_type(o),
    inference(unfold_definition,[status(thm)],[c_0_304,def_lhs_atom33]) ).

cnf(c_0_305_0,axiom,
    is_ep_type(c),
    inference(unfold_definition,[status(thm)],[c_0_305,def_lhs_atom32]) ).

cnf(c_0_306_0,axiom,
    compatible != unknown,
    inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom27]) ).

cnf(c_0_307_0,axiom,
    conflict != unknown,
    inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom26]) ).

cnf(c_0_308_0,axiom,
    conflict != compatible,
    inference(unfold_definition,[status(thm)],[c_0_308,def_lhs_atom25]) ).

cnf(c_0_309_0,axiom,
    is_verdict(unknown),
    inference(unfold_definition,[status(thm)],[c_0_309,def_lhs_atom24]) ).

cnf(c_0_310_0,axiom,
    is_verdict(compatible),
    inference(unfold_definition,[status(thm)],[c_0_310,def_lhs_atom23]) ).

cnf(c_0_311_0,axiom,
    is_verdict(conflict),
    inference(unfold_definition,[status(thm)],[c_0_311,def_lhs_atom22]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2] :
      ( ( is_verdict(X1)
        & is_verdict(X2) )
     => ( box_verdict(X1,X2) = conflict
        | box_verdict(X1,X2) = compatible
        | box_verdict(X1,X2) = unknown ) ),
    file('<stdin>',box_verdict_total) ).

fof(c_0_1_002,axiom,
    ! [X3,X4] :
      ( less(X3,X4)
      | X3 = X4
      | less(X4,X3) ),
    file('<stdin>',trichotomy) ).

fof(c_0_2_003,axiom,
    ! [X1,X2] :
      ( ( is_verdict(X1)
        & is_verdict(X2) )
     => ( box_verdict(X1,X2) = conflict
        | box_verdict(X1,X2) = compatible
        | box_verdict(X1,X2) = unknown ) ),
    c_0_0 ).

fof(c_0_3_004,axiom,
    ! [X3,X4] :
      ( less(X3,X4)
      | X3 = X4
      | less(X4,X3) ),
    c_0_1 ).

fof(c_0_4_005,plain,
    ! [X3,X4] :
      ( ~ is_verdict(X3)
      | ~ is_verdict(X4)
      | box_verdict(X3,X4) = conflict
      | box_verdict(X3,X4) = compatible
      | box_verdict(X3,X4) = unknown ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_5_006,plain,
    ! [X5,X6] :
      ( less(X5,X6)
      | X5 = X6
      | less(X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

cnf(c_0_6_007,plain,
    ( box_verdict(X1,X2) = unknown
    | box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,plain,
    ( less(X1,X2)
    | X2 = X1
    | less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_009,plain,
    ( box_verdict(X1,X2) = unknown
    | box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    c_0_6,
    [final] ).

cnf(c_0_9_010,plain,
    ( less(X1,X2)
    | X2 = X1
    | less(X2,X1) ),
    c_0_7,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_8_0,axiom,
    ( box_verdict(X1,X2) = unknown
    | box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_8_1,axiom,
    ( box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = unknown
    | box_verdict(X1,X2) = conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_8_2,axiom,
    ( box_verdict(X1,X2) = conflict
    | box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = unknown
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_8_3,axiom,
    ( ~ is_verdict(X2)
    | box_verdict(X1,X2) = conflict
    | box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = unknown
    | ~ is_verdict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_8_4,axiom,
    ( ~ is_verdict(X1)
    | ~ is_verdict(X2)
    | box_verdict(X1,X2) = conflict
    | box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = unknown ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_9_0,axiom,
    ( less(X1,X2)
    | X2 = X1
    | less(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9]) ).

cnf(c_0_9_1,axiom,
    ( X2 = X1
    | less(X1,X2)
    | less(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9]) ).

cnf(c_0_9_2,axiom,
    ( less(X2,X1)
    | X2 = X1
    | less(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_9]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_011,conjecture,
    prec(v5,v5,o,o),
    file('<stdin>',odrl604) ).

fof(c_0_1_012,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_013,negated_conjecture,
    ~ prec(v5,v5,o,o),
    c_0_1 ).

cnf(c_0_3_014,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_015,negated_conjecture,
    ~ prec(v5,v5,o,o),
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_77,negated_conjecture,
    ~ prec(v5,v5,o,o),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fd9a5b.p',c_0_4) ).

cnf(c_115,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(copy,[status(esa)],[c_77]) ).

cnf(c_119,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(copy,[status(esa)],[c_115]) ).

cnf(c_120,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(copy,[status(esa)],[c_119]) ).

cnf(c_121,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(copy,[status(esa)],[c_120]) ).

cnf(c_354,negated_conjecture,
    ~ prec(v5,v5,o,o),
    inference(copy,[status(esa)],[c_121]) ).

cnf(c_47,plain,
    ( ~ leq(X0,X1)
    | prec(X0,X1,o,o) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fd9a5b.p',c_0_272_0) ).

cnf(c_294,plain,
    ( ~ leq(X0,X1)
    | prec(X0,X1,o,o) ),
    inference(copy,[status(esa)],[c_47]) ).

cnf(c_358,plain,
    ~ leq(v5,v5),
    inference(resolution,[status(thm)],[c_354,c_294]) ).

cnf(c_359,plain,
    ~ leq(v5,v5),
    inference(rewriting,[status(thm)],[c_358]) ).

cnf(c_31,plain,
    ( X0 != X1
    | leq(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fd9a5b.p',c_0_288_0) ).

cnf(c_262,plain,
    ( X0 != X1
    | leq(X0,X1) ),
    inference(copy,[status(esa)],[c_31]) ).

cnf(c_263,plain,
    ( leq(X0,X1)
    | X0 != X1 ),
    inference(rewriting,[status(thm)],[c_262]) ).

cnf(c_362,plain,
    v5 != v5,
    inference(resolution,[status(thm)],[c_359,c_263]) ).

cnf(c_363,plain,
    v5 != v5,
    inference(rewriting,[status(thm)],[c_362]) ).

cnf(c_364,plain,
    $false,
    inference(equality_resolution_simp,[status(esa)],[c_363]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : MGT089+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.02  % Command  : iprover_modulo %s %d
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep  7 13:59:41 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.30  % Running in mono-core mode
% 0.07/0.34  % Orienting using strategy Equiv(ClausalAll)
% 0.07/0.34  % FOF problem with conjecture
% 0.07/0.34  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6db80e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_fd9a5b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_bccf13 | grep -v "SZS"
% 0.07/0.35  
% 0.07/0.35  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.07/0.35  
% 0.07/0.35  % 
% 0.07/0.35  % ------  iProver source info 
% 0.07/0.35  
% 0.07/0.35  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.07/0.35  % git: non_committed_changes: true
% 0.07/0.35  % git: last_make_outside_of_git: true
% 0.07/0.35  
% 0.07/0.35  % 
% 0.07/0.35  % ------ Input Options
% 0.07/0.35  
% 0.07/0.35  % --out_options                         all
% 0.07/0.35  % --tptp_safe_out                       true
% 0.07/0.35  % --problem_path                        ""
% 0.07/0.35  % --include_path                        ""
% 0.07/0.35  % --clausifier                          .//eprover
% 0.07/0.35  % --clausifier_options                  --tstp-format  
% 0.07/0.35  % --stdin                               false
% 0.07/0.35  % --dbg_backtrace                       false
% 0.07/0.35  % --dbg_dump_prop_clauses               false
% 0.07/0.35  % --dbg_dump_prop_clauses_file          -
% 0.07/0.35  % --dbg_out_stat                        false
% 0.07/0.35  
% 0.07/0.35  % ------ General Options
% 0.07/0.35  
% 0.07/0.35  % --fof                                 false
% 0.07/0.35  % --time_out_real                       150.
% 0.07/0.35  % --time_out_prep_mult                  0.2
% 0.07/0.35  % --time_out_virtual                    -1.
% 0.07/0.35  % --schedule                            none
% 0.07/0.35  % --ground_splitting                    input
% 0.07/0.35  % --splitting_nvd                       16
% 0.07/0.35  % --non_eq_to_eq                        false
% 0.07/0.35  % --prep_gs_sim                         true
% 0.07/0.35  % --prep_unflatten                      false
% 0.07/0.35  % --prep_res_sim                        true
% 0.07/0.35  % --prep_upred                          true
% 0.07/0.35  % --res_sim_input                       true
% 0.07/0.35  % --clause_weak_htbl                    true
% 0.07/0.35  % --gc_record_bc_elim                   false
% 0.07/0.35  % --symbol_type_check                   false
% 0.07/0.35  % --clausify_out                        false
% 0.07/0.35  % --large_theory_mode                   false
% 0.07/0.35  % --prep_sem_filter                     none
% 0.07/0.35  % --prep_sem_filter_out                 false
% 0.07/0.35  % --preprocessed_out                    false
% 0.07/0.35  % --sub_typing                          false
% 0.07/0.35  % --brand_transform                     false
% 0.07/0.35  % --pure_diseq_elim                     true
% 0.07/0.35  % --min_unsat_core                      false
% 0.07/0.35  % --pred_elim                           true
% 0.07/0.35  % --add_important_lit                   false
% 0.07/0.35  % --soft_assumptions                    false
% 0.07/0.35  % --reset_solvers                       false
% 0.07/0.35  % --bc_imp_inh                          []
% 0.07/0.35  % --conj_cone_tolerance                 1.5
% 0.07/0.35  % --prolific_symb_bound                 500
% 0.07/0.35  % --lt_threshold                        2000
% 0.07/0.35  
% 0.07/0.35  % ------ SAT Options
% 0.07/0.35  
% 0.07/0.35  % --sat_mode                            false
% 0.07/0.35  % --sat_fm_restart_options              ""
% 0.07/0.35  % --sat_gr_def                          false
% 0.07/0.35  % --sat_epr_types                       true
% 0.07/0.35  % --sat_non_cyclic_types                false
% 0.07/0.35  % --sat_finite_models                   false
% 0.07/0.35  % --sat_fm_lemmas                       false
% 0.07/0.35  % --sat_fm_prep                         false
% 0.07/0.35  % --sat_fm_uc_incr                      true
% 0.07/0.35  % --sat_out_model                       small
% 0.07/0.35  % --sat_out_clauses                     false
% 0.07/0.35  
% 0.07/0.35  % ------ QBF Options
% 0.07/0.35  
% 0.07/0.35  % --qbf_mode                            false
% 0.07/0.35  % --qbf_elim_univ                       true
% 0.07/0.35  % --qbf_sk_in                           true
% 0.07/0.35  % --qbf_pred_elim                       true
% 0.07/0.35  % --qbf_split                           32
% 0.07/0.35  
% 0.07/0.35  % ------ BMC1 Options
% 0.07/0.35  
% 0.07/0.35  % --bmc1_incremental                    false
% 0.07/0.35  % --bmc1_axioms                         reachable_all
% 0.07/0.35  % --bmc1_min_bound                      0
% 0.07/0.35  % --bmc1_max_bound                      -1
% 0.07/0.35  % --bmc1_max_bound_default              -1
% 0.07/0.35  % --bmc1_symbol_reachability            true
% 0.07/0.35  % --bmc1_property_lemmas                false
% 0.07/0.35  % --bmc1_k_induction                    false
% 0.07/0.35  % --bmc1_non_equiv_states               false
% 0.07/0.35  % --bmc1_deadlock                       false
% 0.07/0.35  % --bmc1_ucm                            false
% 0.07/0.35  % --bmc1_add_unsat_core                 none
% 0.07/0.35  % --bmc1_unsat_core_children            false
% 0.07/0.35  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.07/0.35  % --bmc1_out_stat                       full
% 0.07/0.35  % --bmc1_ground_init                    false
% 0.07/0.35  % --bmc1_pre_inst_next_state            false
% 0.07/0.35  % --bmc1_pre_inst_state                 false
% 0.07/0.35  % --bmc1_pre_inst_reach_state           false
% 0.07/0.35  % --bmc1_out_unsat_core                 false
% 0.07/0.35  % --bmc1_aig_witness_out                false
% 0.07/0.35  % --bmc1_verbose                        false
% 0.07/0.35  % --bmc1_dump_clauses_tptp              false
% 0.07/0.36  % --bmc1_dump_unsat_core_tptp           false
% 0.07/0.36  % --bmc1_dump_file                      -
% 0.07/0.36  % --bmc1_ucm_expand_uc_limit            128
% 0.07/0.36  % --bmc1_ucm_n_expand_iterations        6
% 0.07/0.36  % --bmc1_ucm_extend_mode                1
% 0.07/0.36  % --bmc1_ucm_init_mode                  2
% 0.07/0.36  % --bmc1_ucm_cone_mode                  none
% 0.07/0.36  % --bmc1_ucm_reduced_relation_type      0
% 0.07/0.36  % --bmc1_ucm_relax_model                4
% 0.07/0.36  % --bmc1_ucm_full_tr_after_sat          true
% 0.07/0.36  % --bmc1_ucm_expand_neg_assumptions     false
% 0.07/0.36  % --bmc1_ucm_layered_model              none
% 0.07/0.36  % --bmc1_ucm_max_lemma_size             10
% 0.07/0.36  
% 0.07/0.36  % ------ AIG Options
% 0.07/0.36  
% 0.07/0.36  % --aig_mode                            false
% 0.07/0.36  
% 0.07/0.36  % ------ Instantiation Options
% 0.07/0.36  
% 0.07/0.36  % --instantiation_flag                  true
% 0.07/0.36  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.07/0.36  % --inst_solver_per_active              750
% 0.07/0.36  % --inst_solver_calls_frac              0.5
% 0.07/0.36  % --inst_passive_queue_type             priority_queues
% 0.07/0.36  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.07/0.36  % --inst_passive_queues_freq            [25;2]
% 0.07/0.36  % --inst_dismatching                    true
% 0.07/0.36  % --inst_eager_unprocessed_to_passive   true
% 0.07/0.36  % --inst_prop_sim_given                 true
% 0.07/0.36  % --inst_prop_sim_new                   false
% 0.07/0.36  % --inst_orphan_elimination             true
% 0.07/0.36  % --inst_learning_loop_flag             true
% 0.07/0.36  % --inst_learning_start                 3000
% 0.07/0.36  % --inst_learning_factor                2
% 0.07/0.36  % --inst_start_prop_sim_after_learn     3
% 0.07/0.36  % --inst_sel_renew                      solver
% 0.07/0.36  % --inst_lit_activity_flag              true
% 0.07/0.36  % --inst_out_proof                      true
% 0.07/0.36  
% 0.07/0.36  % ------ Resolution Options
% 0.07/0.36  
% 0.07/0.36  % --resolution_flag                     true
% 0.07/0.36  % --res_lit_sel                         kbo_max
% 0.07/0.36  % --res_to_prop_solver                  none
% 0.07/0.36  % --res_prop_simpl_new                  false
% 0.07/0.36  % --res_prop_simpl_given                false
% 0.07/0.36  % --res_passive_queue_type              priority_queues
% 0.07/0.36  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.07/0.36  % --res_passive_queues_freq             [15;5]
% 0.07/0.36  % --res_forward_subs                    full
% 0.07/0.36  % --res_backward_subs                   full
% 0.07/0.36  % --res_forward_subs_resolution         true
% 0.07/0.36  % --res_backward_subs_resolution        true
% 0.07/0.36  % --res_orphan_elimination              false
% 0.07/0.36  % --res_time_limit                      1000.
% 0.07/0.36  % --res_out_proof                       true
% 0.07/0.36  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6db80e.s
% 0.07/0.36  % --modulo                              true
% 0.07/0.36  
% 0.07/0.36  % ------ Combination Options
% 0.07/0.36  
% 0.07/0.36  % --comb_res_mult                       1000
% 0.07/0.36  % --comb_inst_mult                      300
% 0.07/0.36  % ------ 
% 0.07/0.36  
% 0.07/0.36  % ------ Parsing...% successful
% 0.07/0.36  
% 0.07/0.36  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.07/0.36  
% 0.07/0.36  % ------ Proving...
% 0.07/0.36  % ------ Problem Properties 
% 0.07/0.36  
% 0.07/0.36  % 
% 0.07/0.36  % EPR                                   false
% 0.07/0.36  % Horn                                  false
% 0.07/0.36  % Has equality                          true
% 0.07/0.36  
% 0.07/0.36  % % ------ Input Options Time Limit: Unbounded
% 0.07/0.36  
% 0.07/0.36  
% 0.07/0.36  % % ------ Current options:
% 0.07/0.36  
% 0.07/0.36  % ------ Input Options
% 0.07/0.36  
% 0.07/0.36  % --out_options                         all
% 0.07/0.36  % --tptp_safe_out                       true
% 0.07/0.36  % --problem_path                        ""
% 0.07/0.36  % --include_path                        ""
% 0.07/0.36  % --clausifier                          .//eprover
% 0.07/0.36  % --clausifier_options                  --tstp-format  
% 0.07/0.36  % --stdin                               false
% 0.07/0.36  % --dbg_backtrace                       false
% 0.07/0.36  % --dbg_dump_prop_clauses               false
% 0.07/0.36  % --dbg_dump_prop_clauses_file          -
% 0.07/0.36  % --dbg_out_stat                        false
% 0.07/0.36  
% 0.07/0.36  % ------ General Options
% 0.07/0.36  
% 0.07/0.36  % --fof                                 false
% 0.07/0.36  % --time_out_real                       150.
% 0.07/0.36  % --time_out_prep_mult                  0.2
% 0.07/0.36  % --time_out_virtual                    -1.
% 0.07/0.36  % --schedule                            none
% 0.07/0.36  % --ground_splitting                    input
% 0.07/0.36  % --splitting_nvd                       16
% 0.07/0.36  % --non_eq_to_eq                        false
% 0.07/0.36  % --prep_gs_sim                         true
% 0.07/0.36  % --prep_unflatten                      false
% 0.07/0.36  % --prep_res_sim                        true
% 0.07/0.36  % --prep_upred                          true
% 0.07/0.36  % --res_sim_input                       true
% 0.07/0.36  % --clause_weak_htbl                    true
% 0.07/0.36  % --gc_record_bc_elim                   false
% 0.07/0.36  % --symbol_type_check                   false
% 0.07/0.36  % --clausify_out                        false
% 0.07/0.36  % --large_theory_mode                   false
% 0.07/0.36  % --prep_sem_filter                     none
% 0.07/0.36  % --prep_sem_filter_out                 false
% 0.07/0.36  % --preprocessed_out                    false
% 0.07/0.36  % --sub_typing                          false
% 0.07/0.36  % --brand_transform                     false
% 0.07/0.36  % --pure_diseq_elim                     true
% 0.07/0.36  % --min_unsat_core                      false
% 0.07/0.36  % --pred_elim                           true
% 0.07/0.36  % --add_important_lit                   false
% 0.07/0.36  % --soft_assumptions                    false
% 0.07/0.36  % --reset_solvers                       false
% 0.07/0.36  % --bc_imp_inh                          []
% 0.07/0.36  % --conj_cone_tolerance                 1.5
% 0.07/0.36  % --prolific_symb_bound                 500
% 0.07/0.36  % --lt_threshold                        2000
% 0.07/0.36  
% 0.07/0.36  % ------ SAT Options
% 0.07/0.36  
% 0.07/0.36  % --sat_mode                            false
% 0.07/0.36  % --sat_fm_restart_options              ""
% 0.07/0.36  % --sat_gr_def                          false
% 0.07/0.36  % --sat_epr_types                       true
% 0.07/0.36  % --sat_non_cyclic_types                false
% 0.07/0.36  % --sat_finite_models                   false
% 0.07/0.36  % --sat_fm_lemmas                       false
% 0.07/0.36  % --sat_fm_prep                         false
% 0.07/0.36  % --sat_fm_uc_incr                      true
% 0.07/0.36  % --sat_out_model                       small
% 0.07/0.36  % --sat_out_clauses                     false
% 0.07/0.36  
% 0.07/0.36  % ------ QBF Options
% 0.07/0.36  
% 0.07/0.36  % --qbf_mode                            false
% 0.07/0.36  % --qbf_elim_univ                       true
% 0.07/0.36  % --qbf_sk_in                           true
% 0.07/0.36  % --qbf_pred_elim                       true
% 0.07/0.36  % --qbf_split                           32
% 0.07/0.36  
% 0.07/0.36  % ------ BMC1 Options
% 0.07/0.36  
% 0.07/0.36  % --bmc1_incremental                    false
% 0.07/0.36  % --bmc1_axioms                         reachable_all
% 0.07/0.36  % --bmc1_min_bound                      0
% 0.07/0.36  % --bmc1_max_bound                      -1
% 0.07/0.36  % --bmc1_max_bound_default              -1
% 0.07/0.36  % --bmc1_symbol_reachability            true
% 0.07/0.36  % --bmc1_property_lemmas                false
% 0.07/0.36  % --bmc1_k_induction                    false
% 0.07/0.36  % --bmc1_non_equiv_states               false
% 0.07/0.36  % --bmc1_deadlock                       false
% 0.07/0.36  % --bmc1_ucm                            false
% 0.07/0.36  % --bmc1_add_unsat_core                 none
% 0.07/0.36  % --bmc1_unsat_core_children            false
% 0.07/0.36  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.07/0.36  % --bmc1_out_stat                       full
% 0.07/0.36  % --bmc1_ground_init                    false
% 0.07/0.36  % --bmc1_pre_inst_next_state            false
% 0.07/0.36  % --bmc1_pre_inst_state                 false
% 0.07/0.36  % --bmc1_pre_inst_reach_state           false
% 0.07/0.36  % --bmc1_out_unsat_core                 false
% 0.07/0.36  % --bmc1_aig_witness_out                false
% 0.07/0.36  % --bmc1_verbose                        false
% 0.07/0.36  % --bmc1_dump_clauses_tptp              false
% 0.07/0.36  % --bmc1_dump_unsat_core_tptp           false
% 0.07/0.36  % --bmc1_dump_file                      -
% 0.07/0.36  % --bmc1_ucm_expand_uc_limit            128
% 0.07/0.36  % --bmc1_ucm_n_expand_iterations        6
% 0.07/0.36  % --bmc1_ucm_extend_mode                1
% 0.07/0.36  % --bmc1_ucm_init_mode                  2
% 0.07/0.36  % --bmc1_ucm_cone_mode                  none
% 0.07/0.36  % --bmc1_ucm_reduced_relation_type      0
% 0.07/0.36  % --bmc1_ucm_relax_model                4
% 0.07/0.36  % --bmc1_ucm_full_tr_after_sat          true
% 0.07/0.36  % --bmc1_ucm_expand_neg_assumptions     false
% 0.07/0.36  % --bmc1_ucm_layered_model              none
% 0.07/0.36  % --bmc1_ucm_max_lemma_size             10
% 0.07/0.36  
% 0.07/0.36  % ------ AIG Options
% 0.07/0.36  
% 0.07/0.36  % --aig_mode                            false
% 0.07/0.36  
% 0.07/0.36  % ------ Instantiation Options
% 0.07/0.36  
% 0.07/0.36  % --instantiation_flag                  true
% 0.07/0.36  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.07/0.36  % --inst_solver_per_active              750
% 0.07/0.36  % --inst_solver_calls_frac              0.5
% 0.07/0.36  % --inst_passive_queue_type             priority_queues
% 0.07/0.36  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.07/0.36  % --inst_passive_queues_freq            [25;2]
% 0.07/0.36  % --inst_dismatching                    true
% 0.07/0.36  % --inst_eager_unprocessed_to_passive   true
% 0.07/0.36  % --inst_prop_sim_given                 true
% 0.07/0.36  % --inst_prop_sim_new                   false
% 0.07/0.36  % --inst_orphan_elimination             true
% 0.07/0.36  % --inst_learning_loop_flag             true
% 0.07/0.36  % --inst_learning_start                 3000
% 0.07/0.36  % --inst_learning_factor                2
% 0.07/0.36  % --inst_start_prop_sim_after_learn     3
% 0.07/0.36  % --inst_sel_renew                      solver
% 0.07/0.36  % --inst_lit_activity_flag              true
% 0.07/0.36  % --inst_out_proof                      true
% 0.07/0.36  
% 0.07/0.36  % ------ Resolution Options
% 0.07/0.36  
% 0.07/0.36  % --resolution_flag                     true
% 0.07/0.36  % --res_lit_sel                         kbo_max
% 0.07/0.36  % --res_to_prop_solver                  none
% 0.07/0.36  % --res_prop_simpl_new                  false
% 0.07/0.36  % --res_prop_simpl_given                false
% 0.07/0.36  % --res_passive_queue_type              priority_queues
% 0.07/0.36  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.07/0.36  % --res_passive_queues_freq             [15;5]
% 0.07/0.36  % --res_forward_subs                    full
% 0.07/0.36  % --res_backward_subs                   full
% 0.07/0.36  % --res_forward_subs_resolution         true
% 0.07/0.36  % --res_backward_subs_resolution        true
% 0.07/0.36  % --res_orphan_elimination              false
% 0.07/0.36  % --res_time_limit                      1000.
% 0.07/0.36  % --res_out_proof                       true
% 0.07/0.36  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6db80e.s
% 0.07/0.36  % --modulo                              true
% 0.07/0.36  
% 0.07/0.36  % ------ Combination Options
% 0.07/0.36  
% 0.07/0.36  % --comb_res_mult                       1000
% 0.07/0.36  % --comb_inst_mult                      300
% 0.07/0.36  % ------ 
% 0.07/0.36  
% 0.07/0.36  
% 0.07/0.36  
% 0.07/0.36  % ------ Proving...
% 0.07/0.36  % 
% 0.07/0.36  
% 0.07/0.36  
% 0.07/0.36  %  Resolution empty clause
% 0.07/0.36  
% 0.07/0.36  % ------                             Statistics
% 0.07/0.36  
% 0.07/0.36  % ------ General
% 0.07/0.36  
% 0.07/0.36  % num_of_input_clauses:                 78
% 0.07/0.36  % num_of_input_neg_conjectures:         1
% 0.07/0.36  % num_of_splits:                        0
% 0.07/0.36  % num_of_split_atoms:                   0
% 0.07/0.36  % num_of_sem_filtered_clauses:          0
% 0.07/0.36  % num_of_subtypes:                      0
% 0.07/0.36  % monotx_restored_types:                0
% 0.07/0.36  % sat_num_of_epr_types:                 0
% 0.07/0.36  % sat_num_of_non_cyclic_types:          0
% 0.07/0.36  % sat_guarded_non_collapsed_types:      0
% 0.07/0.36  % is_epr:                               0
% 0.07/0.36  % is_horn:                              0
% 0.07/0.36  % has_eq:                               1
% 0.07/0.36  % num_pure_diseq_elim:                  0
% 0.07/0.36  % simp_replaced_by:                     0
% 0.07/0.36  % res_preprocessed:                     2
% 0.07/0.36  % prep_upred:                           0
% 0.07/0.36  % prep_unflattend:                      0
% 0.07/0.36  % pred_elim_cands:                      0
% 0.07/0.36  % pred_elim:                            0
% 0.07/0.36  % pred_elim_cl:                         0
% 0.07/0.36  % pred_elim_cycles:                     0
% 0.07/0.36  % forced_gc_time:                       0
% 0.07/0.36  % gc_basic_clause_elim:                 0
% 0.07/0.36  % parsing_time:                         0.001
% 0.07/0.36  % sem_filter_time:                      0.
% 0.07/0.36  % pred_elim_time:                       0.
% 0.07/0.36  % out_proof_time:                       0.
% 0.07/0.36  % monotx_time:                          0.
% 0.07/0.36  % subtype_inf_time:                     0.
% 0.07/0.36  % unif_index_cands_time:                0.
% 0.07/0.36  % unif_index_add_time:                  0.
% 0.07/0.36  % total_time:                           0.02
% 0.07/0.36  % num_of_symbols:                       56
% 0.07/0.36  % num_of_terms:                         224
% 0.07/0.36  
% 0.07/0.36  % ------ Propositional Solver
% 0.07/0.36  
% 0.07/0.36  % prop_solver_calls:                    1
% 0.07/0.36  % prop_fast_solver_calls:               3
% 0.07/0.36  % prop_num_of_clauses:                  109
% 0.07/0.36  % prop_preprocess_simplified:           169
% 0.07/0.36  % prop_fo_subsumed:                     0
% 0.07/0.36  % prop_solver_time:                     0.
% 0.07/0.36  % prop_fast_solver_time:                0.
% 0.07/0.36  % prop_unsat_core_time:                 0.
% 0.07/0.36  
% 0.07/0.36  % ------ QBF 
% 0.07/0.36  
% 0.07/0.36  % qbf_q_res:                            0
% 0.07/0.36  % qbf_num_tautologies:                  0
% 0.07/0.36  % qbf_prep_cycles:                      0
% 0.07/0.36  
% 0.07/0.36  % ------ BMC1
% 0.07/0.36  
% 0.07/0.36  % bmc1_current_bound:                   -1
% 0.07/0.36  % bmc1_last_solved_bound:               -1
% 0.07/0.36  % bmc1_unsat_core_size:                 -1
% 0.07/0.36  % bmc1_unsat_core_parents_size:         -1
% 0.07/0.36  % bmc1_merge_next_fun:                  0
% 0.07/0.36  % bmc1_unsat_core_clauses_time:         0.
% 0.07/0.36  
% 0.07/0.36  % ------ Instantiation
% 0.07/0.36  
% 0.07/0.36  % inst_num_of_clauses:                  78
% 0.07/0.36  % inst_num_in_passive:                  0
% 0.07/0.36  % inst_num_in_active:                   0
% 0.07/0.36  % inst_num_in_unprocessed:              78
% 0.07/0.36  % inst_num_of_loops:                    0
% 0.07/0.36  % inst_num_of_learning_restarts:        0
% 0.07/0.36  % inst_num_moves_active_passive:        0
% 0.07/0.36  % inst_lit_activity:                    0
% 0.07/0.36  % inst_lit_activity_moves:              0
% 0.07/0.36  % inst_num_tautologies:                 0
% 0.07/0.36  % inst_num_prop_implied:                0
% 0.07/0.36  % inst_num_existing_simplified:         0
% 0.07/0.36  % inst_num_eq_res_simplified:           0
% 0.07/0.36  % inst_num_child_elim:                  0
% 0.07/0.36  % inst_num_of_dismatching_blockings:    0
% 0.07/0.36  % inst_num_of_non_proper_insts:         0
% 0.07/0.36  % inst_num_of_duplicates:               0
% 0.07/0.36  % inst_inst_num_from_inst_to_res:       0
% 0.07/0.36  % inst_dismatching_checking_time:       0.
% 0.07/0.36  
% 0.07/0.36  % ------ Resolution
% 0.07/0.36  
% 0.07/0.36  % res_num_of_clauses:                   93
% 0.07/0.36  % res_num_in_passive:                   0
% 0.07/0.36  % res_num_in_active:                    73
% 0.07/0.36  % res_num_of_loops:                     2
% 0.07/0.36  % res_forward_subset_subsumed:          5
% 0.07/0.36  % res_backward_subset_subsumed:         0
% 0.07/0.36  % res_forward_subsumed:                 0
% 0.07/0.36  % res_backward_subsumed:                0
% 0.07/0.36  % res_forward_subsumption_resolution:   0
% 0.07/0.36  % res_backward_subsumption_resolution:  0
% 0.07/0.36  % res_clause_to_clause_subsumption:     0
% 0.07/0.36  % res_orphan_elimination:               0
% 0.07/0.36  % res_tautology_del:                    0
% 0.07/0.36  % res_num_eq_res_simplified:            0
% 0.07/0.36  % res_num_sel_changes:                  0
% 0.07/0.36  % res_moves_from_active_to_pass:        0
% 0.07/0.36  
% 0.07/0.36  % Status Unsatisfiable
% 0.07/0.36  % SZS status Theorem
% 0.07/0.36  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------