TSTP Solution File: SWW101+1 by ET---2.0

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 00:10:07 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   95 (  32 unt;   0 def)
%            Number of atoms       :  282 ( 114 equ)
%            Maximal formula atoms :   75 (   2 avg)
%            Number of connectives :  314 ( 127   ~; 144   |;  38   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   68 (  10 sgn  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(def_false2,axiom,
    ? [X5] :
      ( false2 = phi(f7(X5))
      & ~ ? [X10] : forallprefers(f7(X10),f7(X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_false2) ).

fof(lazy_impl_axiom3,axiom,
    ! [X4] : lazy_impl(true,X4) = phi(X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom3) ).

fof(def_f7,axiom,
    ! [X5] : f7(X5) = lazy_impl(prop(X5),X5),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_f7) ).

fof(def_phi,axiom,
    ! [X1] :
      ( ( d(X1)
        & phi(X1) = X1 )
      | ( ~ d(X1)
        & phi(X1) = err ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_phi) ).

fof(lazy_impl_axiom1,axiom,
    ! [X3,X4] :
      ( ~ bool(X3)
     => lazy_impl(X3,X4) = phi(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom1) ).

fof(prop_true,axiom,
    ! [X1] :
      ( prop(X1) = true
    <=> bool(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',prop_true) ).

fof(false_true_err_in_d,axiom,
    ( d(true)
    & d(false)
    & d(err) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',false_true_err_in_d) ).

fof(prop_false,axiom,
    ! [X1] :
      ( prop(X1) = false
    <=> ~ bool(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',prop_false) ).

fof(lazy_impl_axiom2,axiom,
    ! [X4] : lazy_impl(false,X4) = true,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',lazy_impl_axiom2) ).

fof(distinct_false_true_err,axiom,
    ( true != false
    & true != err
    & false != err ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',distinct_false_true_err) ).

fof(def_forallprefers,axiom,
    ! [X1,X2] :
      ( forallprefers(X1,X2)
    <=> ( ( ~ d(X1)
          & d(X2) )
        | ( d(X1)
          & d(X2)
          & ~ bool(X1)
          & bool(X2) )
        | ( X1 = false
          & X2 = true ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_forallprefers) ).

fof(false1_false2,conjecture,
    false1 = false2,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',false1_false2) ).

fof(def_bool,axiom,
    ! [X1] :
      ( bool(X1)
    <=> ( X1 = false
        | X1 = true ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_bool) ).

fof(def_false1,axiom,
    false1 = false,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV012+0.ax',def_false1) ).

fof(c_0_14,plain,
    ! [X12] :
      ( false2 = phi(f7(esk7_0))
      & ~ forallprefers(f7(X12),f7(esk7_0)) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[def_false2])])])])])]) ).

fof(c_0_15,plain,
    ! [X5] : lazy_impl(true,X5) = phi(X5),
    inference(variable_rename,[status(thm)],[lazy_impl_axiom3]) ).

fof(c_0_16,plain,
    ! [X6] : f7(X6) = lazy_impl(prop(X6),X6),
    inference(variable_rename,[status(thm)],[def_f7]) ).

fof(c_0_17,plain,
    ! [X2] :
      ( ( ~ d(X2)
        | d(X2) )
      & ( phi(X2) = err
        | d(X2) )
      & ( ~ d(X2)
        | phi(X2) = X2 )
      & ( phi(X2) = err
        | phi(X2) = X2 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[def_phi])])]) ).

fof(c_0_18,plain,
    ! [X5,X6] :
      ( bool(X5)
      | lazy_impl(X5,X6) = phi(X5) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[lazy_impl_axiom1])])])])]) ).

cnf(c_0_19,plain,
    false2 = phi(f7(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    lazy_impl(true,X1) = phi(X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    f7(X1) = lazy_impl(prop(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ! [X2,X2] :
      ( ( prop(X2) != true
        | bool(X2) )
      & ( ~ bool(X2)
        | prop(X2) = true ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[prop_true])])])]) ).

cnf(c_0_23,plain,
    ( phi(X1) = X1
    | ~ d(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    ( lazy_impl(X1,X2) = phi(X1)
    | bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ~ forallprefers(f7(X1),f7(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    false2 = lazy_impl(true,lazy_impl(prop(esk7_0),esk7_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_27,plain,
    ( prop(X1) = true
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    ( lazy_impl(true,X1) = X1
    | ~ d(X1) ),
    inference(rw,[status(thm)],[c_0_23,c_0_20]) ).

cnf(c_0_29,plain,
    ( lazy_impl(X1,X2) = lazy_impl(true,X1)
    | bool(X1) ),
    inference(rw,[status(thm)],[c_0_24,c_0_20]) ).

cnf(c_0_30,plain,
    ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(esk7_0),esk7_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_21]),c_0_21]) ).

cnf(c_0_31,plain,
    ( lazy_impl(true,lazy_impl(true,esk7_0)) = false2
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( lazy_impl(X1,X2) = X1
    | bool(X1)
    | ~ d(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,plain,
    d(true),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_34,plain,
    ( lazy_impl(prop(esk7_0),esk7_0) = false2
    | ~ d(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_28]) ).

cnf(c_0_35,plain,
    ( d(X1)
    | phi(X1) = err ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_36,plain,
    ! [X2,X2] :
      ( ( prop(X2) != false
        | ~ bool(X2) )
      & ( bool(X2)
        | prop(X2) = false ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[prop_false])])])])]) ).

fof(c_0_37,plain,
    ! [X5] : lazy_impl(false,X5) = true,
    inference(variable_rename,[status(thm)],[lazy_impl_axiom2]) ).

cnf(c_0_38,plain,
    ( ~ forallprefers(lazy_impl(true,X1),lazy_impl(prop(esk7_0),esk7_0))
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_27]) ).

cnf(c_0_39,plain,
    ( lazy_impl(true,esk7_0) = false2
    | ~ d(esk7_0)
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_28]) ).

cnf(c_0_40,plain,
    ( true = X1
    | bool(true)
    | ~ d(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_32]),c_0_33])]) ).

cnf(c_0_41,plain,
    d(err),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_42,plain,
    true != err,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

fof(c_0_43,plain,
    ! [X3,X4,X3,X4] :
      ( ( X3 = false
        | d(X3)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | d(X3)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X3 = false
        | d(X4)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | d(X4)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X3 = false
        | ~ bool(X3)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | ~ bool(X3)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X3 = false
        | bool(X4)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | bool(X4)
        | ~ d(X3)
        | ~ forallprefers(X3,X4) )
      & ( X3 = false
        | d(X3)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | d(X3)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( X3 = false
        | d(X4)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | d(X4)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( X3 = false
        | ~ bool(X3)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | ~ bool(X3)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( X3 = false
        | bool(X4)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( X4 = true
        | bool(X4)
        | d(X4)
        | ~ forallprefers(X3,X4) )
      & ( d(X3)
        | ~ d(X4)
        | forallprefers(X3,X4) )
      & ( ~ d(X3)
        | ~ d(X4)
        | bool(X3)
        | ~ bool(X4)
        | forallprefers(X3,X4) )
      & ( X3 != false
        | X4 != true
        | forallprefers(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[def_forallprefers])])])])])]) ).

fof(c_0_44,negated_conjecture,
    false1 != false2,
    inference(assume_negation,[status(cth)],[false1_false2]) ).

cnf(c_0_45,plain,
    ( lazy_impl(true,esk7_0) = false2
    | ~ d(lazy_impl(true,esk7_0))
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_27]) ).

fof(c_0_46,plain,
    ! [X2,X2] :
      ( ( ~ bool(X2)
        | X2 = false
        | X2 = true )
      & ( X2 != false
        | bool(X2) )
      & ( X2 != true
        | bool(X2) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[def_bool])])])])]) ).

cnf(c_0_47,plain,
    ( lazy_impl(true,X1) = err
    | d(X1) ),
    inference(rw,[status(thm)],[c_0_35,c_0_20]) ).

cnf(c_0_48,plain,
    ( prop(X1) = false
    | bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_49,plain,
    lazy_impl(false,X1) = true,
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_50,plain,
    ( ~ forallprefers(false2,lazy_impl(prop(esk7_0),esk7_0))
    | ~ d(esk7_0)
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_51,plain,
    ( ~ forallprefers(false2,lazy_impl(prop(esk7_0),esk7_0))
    | ~ bool(lazy_impl(prop(esk7_0),esk7_0)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_26]) ).

cnf(c_0_52,plain,
    bool(true),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_53,plain,
    ( forallprefers(X1,X2)
    | bool(X1)
    | ~ bool(X2)
    | ~ d(X2)
    | ~ d(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_54,plain,
    ( forallprefers(X1,X2)
    | d(X1)
    | ~ d(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_55,negated_conjecture,
    false1 != false2,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

cnf(c_0_56,plain,
    ( false2 = esk7_0
    | ~ d(esk7_0)
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_28]) ).

cnf(c_0_57,plain,
    ( bool(X1)
    | X1 != false ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_58,plain,
    ( false2 = err
    | d(esk7_0)
    | ~ bool(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_47]),c_0_41])]) ).

cnf(c_0_59,plain,
    ( bool(esk7_0)
    | ~ forallprefers(lazy_impl(prop(X1),X1),true) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_49]) ).

cnf(c_0_60,plain,
    ( forallprefers(X1,X2)
    | X2 != true
    | X1 != false ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_61,plain,
    ( ~ forallprefers(false2,lazy_impl(true,esk7_0))
    | ~ d(esk7_0)
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_27]) ).

cnf(c_0_62,plain,
    ( bool(esk7_0)
    | ~ forallprefers(false2,true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_49]),c_0_49]),c_0_52])]) ).

cnf(c_0_63,plain,
    ( forallprefers(X1,X2)
    | bool(X1)
    | ~ d(X2)
    | ~ bool(X2) ),
    inference(csr,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    false1 != false2,
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_65,plain,
    false1 = false,
    inference(split_conjunct,[status(thm)],[def_false1]) ).

cnf(c_0_66,plain,
    ( false2 = esk7_0
    | esk7_0 != false
    | ~ d(esk7_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_67,plain,
    ( false2 = err
    | d(esk7_0)
    | esk7_0 != false ),
    inference(spm,[status(thm)],[c_0_58,c_0_57]) ).

cnf(c_0_68,plain,
    ( bool(esk7_0)
    | lazy_impl(prop(X1),X1) != false ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_69,plain,
    ( ~ forallprefers(false2,esk7_0)
    | ~ d(esk7_0)
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_28]) ).

cnf(c_0_70,plain,
    ( bool(false2)
    | bool(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_33]),c_0_52])]) ).

cnf(c_0_71,negated_conjecture,
    false2 != false,
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,plain,
    ( false2 = err
    | false2 = esk7_0
    | esk7_0 != false ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_73,plain,
    ( bool(esk7_0)
    | lazy_impl(true,X1) != false
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_27]) ).

cnf(c_0_74,plain,
    ( bool(false2)
    | ~ d(esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_63]),c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( false2 = err
    | esk7_0 != false ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_76,plain,
    ( bool(esk7_0)
    | X1 != false
    | ~ d(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_28]),c_0_57]) ).

cnf(c_0_77,plain,
    d(false),
    inference(split_conjunct,[status(thm)],[false_true_err_in_d]) ).

cnf(c_0_78,plain,
    ( X1 = true
    | X1 = false
    | ~ bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_79,negated_conjecture,
    ( bool(err)
    | esk7_0 != false
    | ~ d(esk7_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,plain,
    false != err,
    inference(split_conjunct,[status(thm)],[distinct_false_true_err]) ).

cnf(c_0_81,plain,
    bool(esk7_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,negated_conjecture,
    ( esk7_0 != false
    | ~ d(esk7_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_42]),c_0_80]) ).

cnf(c_0_83,plain,
    ( esk7_0 = false
    | esk7_0 = true ),
    inference(spm,[status(thm)],[c_0_78,c_0_81]) ).

cnf(c_0_84,plain,
    ( false2 = esk7_0
    | ~ d(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_81])]) ).

cnf(c_0_85,negated_conjecture,
    esk7_0 = true,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_77])]) ).

cnf(c_0_86,plain,
    ( lazy_impl(prop(esk7_0),esk7_0) != true
    | lazy_impl(prop(X1),X1) != false ),
    inference(spm,[status(thm)],[c_0_30,c_0_60]) ).

cnf(c_0_87,plain,
    ( lazy_impl(true,false2) = false2
    | ~ d(esk7_0)
    | ~ bool(esk7_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_39]) ).

cnf(c_0_88,plain,
    false2 = true,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_85]),c_0_33])]) ).

cnf(c_0_89,plain,
    ( lazy_impl(prop(true),true) != true
    | lazy_impl(prop(X1),X1) != false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_85]),c_0_85]) ).

cnf(c_0_90,plain,
    lazy_impl(true,true) = true,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_81])]),c_0_88]),c_0_88]),c_0_85]),c_0_33])]) ).

cnf(c_0_91,plain,
    lazy_impl(prop(X1),X1) != false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_27]),c_0_90]),c_0_52])]) ).

cnf(c_0_92,plain,
    ( lazy_impl(true,X1) != false
    | ~ bool(X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_27]) ).

cnf(c_0_93,plain,
    ( X1 != false
    | ~ d(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_28]),c_0_57]) ).

cnf(c_0_94,plain,
    $false,
    inference(spm,[status(thm)],[c_0_93,c_0_77]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun  5 03:11:47 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42  # Preprocessing time       : 0.026 s
% 0.25/1.42  
% 0.25/1.42  # Failure: Out of unprocessed clauses!
% 0.25/1.42  # OLD status GaveUp
% 0.25/1.42  # Parsed axioms                        : 45
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 38
% 0.25/1.42  # Initial clauses                      : 9
% 0.25/1.42  # Removed in clause preprocessing      : 0
% 0.25/1.42  # Initial clauses in saturation        : 9
% 0.25/1.42  # Processed clauses                    : 58
% 0.25/1.42  # ...of these trivial                  : 3
% 0.25/1.42  # ...subsumed                          : 31
% 0.25/1.42  # ...remaining for further processing  : 24
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 3
% 0.25/1.42  # Backward-rewritten                   : 5
% 0.25/1.42  # Generated clauses                    : 86
% 0.25/1.42  # ...of the previous two non-trivial   : 54
% 0.25/1.42  # Contextual simplify-reflections      : 18
% 0.25/1.42  # Paramodulations                      : 82
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 4
% 0.25/1.42  # Current number of processed clauses  : 16
% 0.25/1.42  #    Positive orientable unit clauses  : 2
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 1
% 0.25/1.42  #    Non-unit-clauses                  : 13
% 0.25/1.42  # Current number of unprocessed clauses: 0
% 0.25/1.42  # ...number of literals in the above   : 0
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 8
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 332
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 231
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 52
% 0.25/1.42  # Unit Clause-clause subsumption calls : 2
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 1
% 0.25/1.42  # BW rewrite match successes           : 1
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 1499
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.027 s
% 0.25/1.42  # System time              : 0.003 s
% 0.25/1.42  # Total time               : 0.030 s
% 0.25/1.42  # Maximum resident set size: 2736 pages
% 0.25/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.25/1.42  # Preprocessing time       : 0.021 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.42  # Proof object total steps             : 95
% 0.25/1.42  # Proof object clause steps            : 69
% 0.25/1.42  # Proof object formula steps           : 26
% 0.25/1.42  # Proof object conjectures             : 9
% 0.25/1.42  # Proof object clause conjectures      : 6
% 0.25/1.42  # Proof object formula conjectures     : 3
% 0.25/1.42  # Proof object initial clauses used    : 22
% 0.25/1.42  # Proof object initial formulas used   : 14
% 0.25/1.42  # Proof object generating inferences   : 36
% 0.25/1.42  # Proof object simplifying inferences  : 47
% 0.25/1.42  # Training examples: 0 positive, 0 negative
% 0.25/1.42  # Parsed axioms                        : 45
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.42  # Initial clauses                      : 99
% 0.25/1.42  # Removed in clause preprocessing      : 19
% 0.25/1.42  # Initial clauses in saturation        : 80
% 0.25/1.42  # Processed clauses                    : 518
% 0.25/1.42  # ...of these trivial                  : 33
% 0.25/1.42  # ...subsumed                          : 254
% 0.25/1.42  # ...remaining for further processing  : 231
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 41
% 0.25/1.42  # Backward-rewritten                   : 94
% 0.25/1.42  # Generated clauses                    : 1694
% 0.25/1.42  # ...of the previous two non-trivial   : 1368
% 0.25/1.42  # Contextual simplify-reflections      : 207
% 0.25/1.42  # Paramodulations                      : 1683
% 0.25/1.42  # Factorizations                       : 11
% 0.25/1.42  # Equation resolutions                 : 0
% 0.25/1.42  # Current number of processed clauses  : 96
% 0.25/1.42  #    Positive orientable unit clauses  : 15
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 14
% 0.25/1.42  #    Non-unit-clauses                  : 67
% 0.25/1.42  # Current number of unprocessed clauses: 477
% 0.25/1.42  # ...number of literals in the above   : 1392
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 149
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 7854
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 4542
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 393
% 0.25/1.42  # Unit Clause-clause subsumption calls : 263
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 7
% 0.25/1.42  # BW rewrite match successes           : 7
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 26527
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.060 s
% 0.25/1.42  # System time              : 0.006 s
% 0.25/1.42  # Total time               : 0.066 s
% 0.25/1.42  # Maximum resident set size: 3836 pages
%------------------------------------------------------------------------------