TSTP Solution File: LAT348+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LAT348+4 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:24:55 EDT 2024

% Result   : Theorem 218.62s 29.52s
% Output   : CNFRefutation 218.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   92 (  23 unt;   0 def)
%            Number of atoms       :  472 (  12 equ)
%            Maximal formula atoms :   70 (   5 avg)
%            Number of connectives :  652 ( 272   ~; 244   |; 116   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :   53 (   1 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t8_waybel13,axiom,
    ! [X1] :
      ( ( v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v1_lattice3(X1)
        & v1_yellow_0(X1)
        & l1_orders_2(X1) )
     => ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X1)))
        & v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+509.ax',t8_waybel13) ).

fof(t7_waybel16,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_orders_2(X1)
        & v3_orders_2(X1)
        & l1_orders_2(X1) )
     => k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+537.ax',t7_waybel16) ).

fof(t6_waybel22,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v2_yellow_0(X1)
        & v2_lattice3(X1)
        & l1_orders_2(X1) )
     => ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
        & v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_waybel22) ).

fof(fc5_yellow_7,axiom,
    ! [X1] :
      ( ( v2_lattice3(X1)
        & l1_orders_2(X1) )
     => ( ~ v3_struct_0(k7_lattice3(X1))
        & v1_orders_2(k7_lattice3(X1))
        & v1_lattice3(k7_lattice3(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+495.ax',fc5_yellow_7) ).

fof(t4_yellow_1,axiom,
    ! [X1] : k3_yellow_1(X1) = k2_yellow_1(k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+483.ax',t4_yellow_1) ).

fof(t12_yellow_6,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+493.ax',t12_yellow_6) ).

fof(fc10_yellow_7,axiom,
    ! [X1] :
      ( ( v2_yellow_0(X1)
        & l1_orders_2(X1) )
     => ( v1_orders_2(k7_lattice3(X1))
        & v1_yellow_0(k7_lattice3(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+495.ax',fc10_yellow_7) ).

fof(fc3_yellow_7,axiom,
    ! [X1] :
      ( ( v4_orders_2(X1)
        & l1_orders_2(X1) )
     => ( v1_orders_2(k7_lattice3(X1))
        & v4_orders_2(k7_lattice3(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+495.ax',fc3_yellow_7) ).

fof(fc2_yellow_7,axiom,
    ! [X1] :
      ( ( v3_orders_2(X1)
        & l1_orders_2(X1) )
     => ( v1_orders_2(k7_lattice3(X1))
        & v3_orders_2(k7_lattice3(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+495.ax',fc2_yellow_7) ).

fof(fc2_waybel16,axiom,
    ! [X1] :
      ( ( v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v2_lattice3(X1)
        & v2_yellow_0(X1)
        & l1_orders_2(X1) )
     => ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+537.ax',fc2_waybel16) ).

fof(fc1_yellow_7,axiom,
    ! [X1] :
      ( ( v2_orders_2(X1)
        & l1_orders_2(X1) )
     => ( v1_orders_2(k7_lattice3(X1))
        & v2_orders_2(k7_lattice3(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+495.ax',fc1_yellow_7) ).

fof(cc2_lattice3,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => ( v2_lattice3(X1)
       => ~ v3_struct_0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+335.ax',cc2_lattice3) ).

fof(dt_k7_lattice3,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => ( v1_orders_2(k7_lattice3(X1))
        & l1_orders_2(k7_lattice3(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+335.ax',dt_k7_lattice3) ).

fof(dt_k2_yellow_1,axiom,
    ! [X1] :
      ( v1_orders_2(k2_yellow_1(X1))
      & l1_orders_2(k2_yellow_1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+483.ax',dt_k2_yellow_1) ).

fof(c_0_14,plain,
    ! [X1] :
      ( ( v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v1_lattice3(X1)
        & v1_yellow_0(X1)
        & l1_orders_2(X1) )
     => ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X1)))
        & v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
        & m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
    inference(fof_simplification,[status(thm)],[t8_waybel13]) ).

fof(c_0_15,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_orders_2(X1)
        & v3_orders_2(X1)
        & l1_orders_2(X1) )
     => k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
    inference(fof_simplification,[status(thm)],[t7_waybel16]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v2_yellow_0(X1)
          & v2_lattice3(X1)
          & l1_orders_2(X1) )
       => ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
          & v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
          & v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
          & v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
          & m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_waybel22])]) ).

fof(c_0_17,plain,
    ! [X1] :
      ( ( v2_lattice3(X1)
        & l1_orders_2(X1) )
     => ( ~ v3_struct_0(k7_lattice3(X1))
        & v1_orders_2(k7_lattice3(X1))
        & v1_lattice3(k7_lattice3(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc5_yellow_7]) ).

fof(c_0_18,plain,
    ! [X175] :
      ( ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X175)))
        | ~ v2_orders_2(X175)
        | ~ v3_orders_2(X175)
        | ~ v4_orders_2(X175)
        | ~ v1_lattice3(X175)
        | ~ v1_yellow_0(X175)
        | ~ l1_orders_2(X175) )
      & ( v4_yellow_0(k2_yellow_1(k8_waybel_0(X175)),k3_yellow_1(u1_struct_0(X175)))
        | ~ v2_orders_2(X175)
        | ~ v3_orders_2(X175)
        | ~ v4_orders_2(X175)
        | ~ v1_lattice3(X175)
        | ~ v1_yellow_0(X175)
        | ~ l1_orders_2(X175) )
      & ( v7_yellow_0(k2_yellow_1(k8_waybel_0(X175)),k3_yellow_1(u1_struct_0(X175)))
        | ~ v2_orders_2(X175)
        | ~ v3_orders_2(X175)
        | ~ v4_orders_2(X175)
        | ~ v1_lattice3(X175)
        | ~ v1_yellow_0(X175)
        | ~ l1_orders_2(X175) )
      & ( v4_waybel_0(k2_yellow_1(k8_waybel_0(X175)),k3_yellow_1(u1_struct_0(X175)))
        | ~ v2_orders_2(X175)
        | ~ v3_orders_2(X175)
        | ~ v4_orders_2(X175)
        | ~ v1_lattice3(X175)
        | ~ v1_yellow_0(X175)
        | ~ l1_orders_2(X175) )
      & ( m1_yellow_0(k2_yellow_1(k8_waybel_0(X175)),k3_yellow_1(u1_struct_0(X175)))
        | ~ v2_orders_2(X175)
        | ~ v3_orders_2(X175)
        | ~ v4_orders_2(X175)
        | ~ v1_lattice3(X175)
        | ~ v1_yellow_0(X175)
        | ~ l1_orders_2(X175) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

fof(c_0_19,plain,
    ! [X79] : k3_yellow_1(X79) = k2_yellow_1(k1_zfmisc_1(X79)),
    inference(variable_rename,[status(thm)],[t4_yellow_1]) ).

fof(c_0_20,plain,
    ! [X149] :
      ( v3_struct_0(X149)
      | ~ v2_orders_2(X149)
      | ~ v3_orders_2(X149)
      | ~ l1_orders_2(X149)
      | k9_waybel_0(X149) = k8_waybel_0(k7_lattice3(X149)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_21,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_orders_2(esk1_0)
    & v3_orders_2(esk1_0)
    & v4_orders_2(esk1_0)
    & v2_yellow_0(esk1_0)
    & v2_lattice3(esk1_0)
    & l1_orders_2(esk1_0)
    & ( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
      | ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
      | ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
      | ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
      | ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0))) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).

fof(c_0_22,plain,
    ! [X1785] :
      ( ~ l1_orders_2(X1785)
      | u1_struct_0(X1785) = u1_struct_0(k7_lattice3(X1785)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_yellow_6])])]) ).

fof(c_0_23,plain,
    ! [X1792] :
      ( ( v1_orders_2(k7_lattice3(X1792))
        | ~ v2_yellow_0(X1792)
        | ~ l1_orders_2(X1792) )
      & ( v1_yellow_0(k7_lattice3(X1792))
        | ~ v2_yellow_0(X1792)
        | ~ l1_orders_2(X1792) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_yellow_7])])])]) ).

fof(c_0_24,plain,
    ! [X1789] :
      ( ( ~ v3_struct_0(k7_lattice3(X1789))
        | ~ v2_lattice3(X1789)
        | ~ l1_orders_2(X1789) )
      & ( v1_orders_2(k7_lattice3(X1789))
        | ~ v2_lattice3(X1789)
        | ~ l1_orders_2(X1789) )
      & ( v1_lattice3(k7_lattice3(X1789))
        | ~ v2_lattice3(X1789)
        | ~ l1_orders_2(X1789) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

cnf(c_0_25,plain,
    ( v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    k3_yellow_1(X1) = k2_yellow_1(k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( v3_struct_0(X1)
    | k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1))
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    v3_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    v2_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    l1_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,plain,
    ( u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1))
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    ( v1_yellow_0(k7_lattice3(X1))
    | ~ v2_yellow_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    v2_yellow_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_35,plain,
    ( v1_lattice3(k7_lattice3(X1))
    | ~ v2_lattice3(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_36,negated_conjecture,
    v2_lattice3(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_37,plain,
    ( v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1) ),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    k8_waybel_0(k7_lattice3(esk1_0)) = k9_waybel_0(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    u1_struct_0(k7_lattice3(esk1_0)) = u1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_32,c_0_30]) ).

cnf(c_0_40,negated_conjecture,
    v1_yellow_0(k7_lattice3(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]) ).

cnf(c_0_41,negated_conjecture,
    v1_lattice3(k7_lattice3(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_30])]) ).

fof(c_0_42,plain,
    ! [X1788] :
      ( ( v1_orders_2(k7_lattice3(X1788))
        | ~ v4_orders_2(X1788)
        | ~ l1_orders_2(X1788) )
      & ( v4_orders_2(k7_lattice3(X1788))
        | ~ v4_orders_2(X1788)
        | ~ l1_orders_2(X1788) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])])]) ).

cnf(c_0_43,plain,
    ( v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_44,negated_conjecture,
    ( v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v4_orders_2(k7_lattice3(esk1_0))
    | ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41])]) ).

cnf(c_0_45,plain,
    ( v4_orders_2(k7_lattice3(X1))
    | ~ v4_orders_2(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    v4_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_47,plain,
    ! [X1787] :
      ( ( v1_orders_2(k7_lattice3(X1787))
        | ~ v3_orders_2(X1787)
        | ~ l1_orders_2(X1787) )
      & ( v3_orders_2(k7_lattice3(X1787))
        | ~ v3_orders_2(X1787)
        | ~ l1_orders_2(X1787) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])])]) ).

fof(c_0_48,plain,
    ! [X1] :
      ( ( v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v2_lattice3(X1)
        & v2_yellow_0(X1)
        & l1_orders_2(X1) )
     => ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
    inference(fof_simplification,[status(thm)],[fc2_waybel16]) ).

cnf(c_0_49,plain,
    ( v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1) ),
    inference(rw,[status(thm)],[c_0_43,c_0_26]) ).

cnf(c_0_50,plain,
    ( v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_51,negated_conjecture,
    ( v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_30])]) ).

cnf(c_0_52,plain,
    ( v3_orders_2(k7_lattice3(X1))
    | ~ v3_orders_2(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_53,plain,
    ! [X1786] :
      ( ( v1_orders_2(k7_lattice3(X1786))
        | ~ v2_orders_2(X1786)
        | ~ l1_orders_2(X1786) )
      & ( v2_orders_2(k7_lattice3(X1786))
        | ~ v2_orders_2(X1786)
        | ~ l1_orders_2(X1786) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])])]) ).

fof(c_0_54,plain,
    ! [X1] :
      ( l1_orders_2(X1)
     => ( v2_lattice3(X1)
       => ~ v3_struct_0(X1) ) ),
    inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).

fof(c_0_55,plain,
    ! [X148] :
      ( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v1_orders_2(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v2_orders_2(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v3_orders_2(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v4_orders_2(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v2_lattice3(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v3_lattice3(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) )
      & ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X148)))
        | ~ v2_orders_2(X148)
        | ~ v3_orders_2(X148)
        | ~ v4_orders_2(X148)
        | ~ v2_lattice3(X148)
        | ~ v2_yellow_0(X148)
        | ~ l1_orders_2(X148) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).

cnf(c_0_56,negated_conjecture,
    ( v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v4_orders_2(k7_lattice3(esk1_0))
    | ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_38]),c_0_39]),c_0_40]),c_0_41])]) ).

cnf(c_0_57,plain,
    ( v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1) ),
    inference(rw,[status(thm)],[c_0_50,c_0_26]) ).

cnf(c_0_58,negated_conjecture,
    ( v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_28]),c_0_30])]) ).

cnf(c_0_59,plain,
    ( v2_orders_2(k7_lattice3(X1))
    | ~ v2_orders_2(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_60,plain,
    ! [X1784] :
      ( ( v1_orders_2(k7_lattice3(X1784))
        | ~ l1_orders_2(X1784) )
      & ( l1_orders_2(k7_lattice3(X1784))
        | ~ l1_orders_2(X1784) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])])]) ).

fof(c_0_61,plain,
    ! [X251] :
      ( ~ l1_orders_2(X251)
      | ~ v2_lattice3(X251)
      | ~ v3_struct_0(X251) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).

cnf(c_0_62,plain,
    ( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_63,plain,
    ! [X146] :
      ( v1_orders_2(k2_yellow_1(X146))
      & l1_orders_2(k2_yellow_1(X146)) ),
    inference(variable_rename,[status(thm)],[dt_k2_yellow_1]) ).

cnf(c_0_64,negated_conjecture,
    ( v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_45]),c_0_46]),c_0_30])]) ).

cnf(c_0_65,negated_conjecture,
    ( v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v4_orders_2(k7_lattice3(esk1_0))
    | ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_38]),c_0_39]),c_0_40]),c_0_41])]) ).

cnf(c_0_66,negated_conjecture,
    ( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
    | ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
    | ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
    | ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
    | ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_67,negated_conjecture,
    ( v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_29]),c_0_30])]) ).

cnf(c_0_68,plain,
    ( l1_orders_2(k7_lattice3(X1))
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_69,plain,
    ( ~ l1_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    v2_lattice3(k2_yellow_1(k9_waybel_0(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_34]),c_0_36]),c_0_46]),c_0_28]),c_0_29]),c_0_30])]) ).

cnf(c_0_71,plain,
    l1_orders_2(k2_yellow_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_72,negated_conjecture,
    ( v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_52]),c_0_28]),c_0_30])]) ).

cnf(c_0_73,negated_conjecture,
    ( v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_45]),c_0_46]),c_0_30])]) ).

cnf(c_0_74,negated_conjecture,
    ( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
    | ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).

cnf(c_0_75,negated_conjecture,
    v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_30])]) ).

cnf(c_0_76,negated_conjecture,
    ~ v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_77,negated_conjecture,
    ( v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_59]),c_0_29]),c_0_30])]) ).

cnf(c_0_78,negated_conjecture,
    ( v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_52]),c_0_28]),c_0_30])]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]),c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_68]),c_0_30])]) ).

cnf(c_0_81,negated_conjecture,
    ( v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_59]),c_0_29]),c_0_30])]) ).

cnf(c_0_82,plain,
    ( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).

cnf(c_0_84,negated_conjecture,
    v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_68]),c_0_30])]) ).

cnf(c_0_85,plain,
    ( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v1_yellow_0(X1) ),
    inference(rw,[status(thm)],[c_0_82,c_0_26]) ).

cnf(c_0_86,negated_conjecture,
    ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ v4_orders_2(k7_lattice3(esk1_0))
    | ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_38]),c_0_39]),c_0_40]),c_0_41])]),c_0_86]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ v3_orders_2(k7_lattice3(esk1_0))
    | ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_45]),c_0_46]),c_0_30])]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ v2_orders_2(k7_lattice3(esk1_0))
    | ~ l1_orders_2(k7_lattice3(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_52]),c_0_28]),c_0_30])]) ).

cnf(c_0_90,negated_conjecture,
    ~ l1_orders_2(k7_lattice3(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_59]),c_0_29]),c_0_30])]) ).

cnf(c_0_91,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_68]),c_0_30])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LAT348+4 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 19:55:15 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 218.62/29.52  # Version: 3.1.0
% 218.62/29.52  # Preprocessing class: FMLLMLLLSSSNFFN.
% 218.62/29.52  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 218.62/29.52  # Starting new_bool_3 with 897s (3) cores
% 218.62/29.52  # Starting new_bool_1 with 897s (3) cores
% 218.62/29.52  # Starting sh5l with 299s (1) cores
% 218.62/29.52  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 218.62/29.52  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 6995 completed with status 0
% 218.62/29.52  # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 218.62/29.52  # Preprocessing class: FMLLMLLLSSSNFFN.
% 218.62/29.52  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 218.62/29.52  # Starting new_bool_3 with 897s (3) cores
% 218.62/29.52  # Starting new_bool_1 with 897s (3) cores
% 218.62/29.52  # Starting sh5l with 299s (1) cores
% 218.62/29.52  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 218.62/29.52  # SinE strategy is gf120_h_gu_R02_F100_L20000
% 218.62/29.52  # Search class: FGHSM-SMLM32-DFFFFFNN
% 218.62/29.52  # Scheduled 12 strats onto 1 cores with 299 seconds (299 total)
% 218.62/29.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 25s (1) cores
% 218.62/29.52  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 6996 completed with status 7
% 218.62/29.52  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 25s (1) cores
% 218.62/29.52  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 7574 completed with status 0
% 218.62/29.52  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 218.62/29.52  # Preprocessing class: FMLLMLLLSSSNFFN.
% 218.62/29.52  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 218.62/29.52  # Starting new_bool_3 with 897s (3) cores
% 218.62/29.52  # Starting new_bool_1 with 897s (3) cores
% 218.62/29.52  # Starting sh5l with 299s (1) cores
% 218.62/29.52  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 218.62/29.52  # SinE strategy is gf120_h_gu_R02_F100_L20000
% 218.62/29.52  # Search class: FGHSM-SMLM32-DFFFFFNN
% 218.62/29.52  # Scheduled 12 strats onto 1 cores with 299 seconds (299 total)
% 218.62/29.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 25s (1) cores
% 218.62/29.52  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 6996 completed with status 7
% 218.62/29.52  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 25s (1) cores
% 218.62/29.52  # Preprocessing time       : 0.057 s
% 218.62/29.52  
% 218.62/29.52  # Proof found!
% 218.62/29.52  # SZS status Theorem
% 218.62/29.52  # SZS output start CNFRefutation
% See solution above
% 218.62/29.52  # Parsed axioms                        : 45782
% 218.62/29.52  # Removed by relevancy pruning/SinE    : 44901
% 218.62/29.52  # Initial clauses                      : 2167
% 218.62/29.52  # Removed in clause preprocessing      : 80
% 218.62/29.52  # Initial clauses in saturation        : 2087
% 218.62/29.52  # Processed clauses                    : 4509
% 218.62/29.52  # ...of these trivial                  : 235
% 218.62/29.52  # ...subsumed                          : 687
% 218.62/29.52  # ...remaining for further processing  : 3587
% 218.62/29.52  # Other redundant clauses eliminated   : 153
% 218.62/29.52  # Clauses deleted for lack of memory   : 0
% 218.62/29.52  # Backward-subsumed                    : 21
% 218.62/29.52  # Backward-rewritten                   : 65
% 218.62/29.52  # Generated clauses                    : 45308
% 218.62/29.52  # ...of the previous two non-redundant : 42555
% 218.62/29.52  # ...aggressively subsumed             : 0
% 218.62/29.52  # Contextual simplify-reflections      : 157
% 218.62/29.52  # Paramodulations                      : 45115
% 218.62/29.52  # Factorizations                       : 16
% 218.62/29.52  # NegExts                              : 0
% 218.62/29.52  # Equation resolutions                 : 187
% 218.62/29.52  # Disequality decompositions           : 0
% 218.62/29.52  # Total rewrite steps                  : 40112
% 218.62/29.52  # ...of those cached                   : 38599
% 218.62/29.52  # Propositional unsat checks           : 0
% 218.62/29.52  #    Propositional check models        : 0
% 218.62/29.52  #    Propositional check unsatisfiable : 0
% 218.62/29.52  #    Propositional clauses             : 0
% 218.62/29.52  #    Propositional clauses after purity: 0
% 218.62/29.52  #    Propositional unsat core size     : 0
% 218.62/29.52  #    Propositional preprocessing time  : 0.000
% 218.62/29.52  #    Propositional encoding time       : 0.000
% 218.62/29.52  #    Propositional solver time         : 0.000
% 218.62/29.52  #    Success case prop preproc time    : 0.000
% 218.62/29.52  #    Success case prop encoding time   : 0.000
% 218.62/29.52  #    Success case prop solver time     : 0.000
% 218.62/29.52  # Current number of processed clauses  : 3376
% 218.62/29.52  #    Positive orientable unit clauses  : 1005
% 218.62/29.52  #    Positive unorientable unit clauses: 5
% 218.62/29.52  #    Negative unit clauses             : 166
% 218.62/29.52  #    Non-unit-clauses                  : 2200
% 218.62/29.52  # Current number of unprocessed clauses: 39957
% 218.62/29.52  # ...number of literals in the above   : 207124
% 218.62/29.52  # Current number of archived formulas  : 0
% 218.62/29.52  # Current number of archived clauses   : 91
% 218.62/29.52  # Clause-clause subsumption calls (NU) : 1420546
% 218.62/29.52  # Rec. Clause-clause subsumption calls : 133215
% 218.62/29.52  # Non-unit clause-clause subsumptions  : 457
% 218.62/29.52  # Unit Clause-clause subsumption calls : 321319
% 218.62/29.52  # Rewrite failures with RHS unbound    : 0
% 218.62/29.52  # BW rewrite match attempts            : 2957
% 218.62/29.52  # BW rewrite match successes           : 96
% 218.62/29.52  # Condensation attempts                : 0
% 218.62/29.52  # Condensation successes               : 0
% 218.62/29.52  # Termbank termtop insertions          : 2920168
% 218.62/29.52  # Search garbage collected termcells   : 502942
% 218.62/29.52  
% 218.62/29.52  # -------------------------------------------------
% 218.62/29.52  # User time                : 26.568 s
% 218.62/29.52  # System time              : 0.934 s
% 218.62/29.52  # Total time               : 27.502 s
% 218.62/29.52  # Maximum resident set size: 92056 pages
% 218.62/29.52  
% 218.62/29.52  # -------------------------------------------------
% 218.62/29.52  # User time                : 27.797 s
% 218.62/29.52  # System time              : 0.992 s
% 218.62/29.52  # Total time               : 28.789 s
% 218.62/29.52  # Maximum resident set size: 73076 pages
% 218.62/29.52  % E---3.1 exiting
% 218.62/29.52  % E exiting
%------------------------------------------------------------------------------