TSTP Solution File: SYO607+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:49:50 EDT 2023

% Result   : Theorem 0.20s 0.55s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   73 (   6 unt;   0 def)
%            Number of atoms       :  370 (   0 equ)
%            Maximal formula atoms :   33 (   5 avg)
%            Number of connectives :  377 (  80   ~; 258   |;  34   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :  237 (  83 sgn;  35   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(true_only_g,axiom,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
    <=> ( g_true(X3,X4)
        & ~ g_false(X3,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NBTIazDzJj/E---3.1_3381.p',true_only_g) ).

fof(nc6,conjecture,
    ( ? [X1] :
        ( g_false_only(a,X1)
        & ? [X2] : g_false_only(X1,X2) )
    | ? [X1] :
      ! [X2] : g_true_only(X1,X2)
    | ( ? [X1] :
          ( ( g_both(a,X1)
            | ( ? [X2] : g_both(X1,X2)
              & ~ ? [X2] : g_false_only(X1,X2) ) )
          & ~ g_true_only(a,X1)
          & ~ ! [X2] : g_true_only(X1,X2) )
      & ~ ? [X1] :
            ( g_false_only(a,X1)
            & ? [X2] : g_false_only(X1,X2) )
      & ? [X1] :
          ( ? [X2] : g_both(X1,X2)
          & ~ ? [X2] : g_false_only(X1,X2) )
      & ~ ? [X1] :
          ! [X2] : g_true_only(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NBTIazDzJj/E---3.1_3381.p',nc6) ).

fof(both_g,axiom,
    ! [X3,X4] :
      ( g_both(X3,X4)
    <=> ( g_true(X3,X4)
        & g_false(X3,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NBTIazDzJj/E---3.1_3381.p',both_g) ).

fof(exhaustion_g,axiom,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
      | g_both(X3,X4)
      | g_false_only(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.NBTIazDzJj/E---3.1_3381.p',exhaustion_g) ).

fof(false_only_g,axiom,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
    <=> ( g_false(X3,X4)
        & ~ g_true(X3,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.NBTIazDzJj/E---3.1_3381.p',false_only_g) ).

fof(c_0_5,plain,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
    <=> ( g_true(X3,X4)
        & ~ g_false(X3,X4) ) ),
    inference(fof_simplification,[status(thm)],[true_only_g]) ).

fof(c_0_6,negated_conjecture,
    ~ ( ? [X1] :
          ( g_false_only(a,X1)
          & ? [X2] : g_false_only(X1,X2) )
      | ? [X1] :
        ! [X2] : g_true_only(X1,X2)
      | ( ? [X1] :
            ( ( g_both(a,X1)
              | ( ? [X2] : g_both(X1,X2)
                & ~ ? [X2] : g_false_only(X1,X2) ) )
            & ~ g_true_only(a,X1)
            & ~ ! [X2] : g_true_only(X1,X2) )
        & ~ ? [X1] :
              ( g_false_only(a,X1)
              & ? [X2] : g_false_only(X1,X2) )
        & ? [X1] :
            ( ? [X2] : g_both(X1,X2)
            & ~ ? [X2] : g_false_only(X1,X2) )
        & ~ ? [X1] :
            ! [X2] : g_true_only(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nc6])]) ).

fof(c_0_7,plain,
    ! [X20,X21] :
      ( ( g_true(X20,X21)
        | ~ g_true_only(X20,X21) )
      & ( ~ g_false(X20,X21)
        | ~ g_true_only(X20,X21) )
      & ( ~ g_true(X20,X21)
        | g_false(X20,X21)
        | g_true_only(X20,X21) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_8,plain,
    ! [X26,X27] :
      ( ( g_true(X26,X27)
        | ~ g_both(X26,X27) )
      & ( g_false(X26,X27)
        | ~ g_both(X26,X27) )
      & ( ~ g_true(X26,X27)
        | ~ g_false(X26,X27)
        | g_both(X26,X27) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[both_g])])]) ).

fof(c_0_9,negated_conjecture,
    ! [X5,X6,X7,X9,X10,X12,X15,X16,X19] :
      ( ( ~ g_false_only(a,X5)
        | ~ g_false_only(X5,X6) )
      & ~ g_true_only(X7,esk1_1(X7))
      & ( g_false_only(a,esk3_0)
        | ~ g_both(a,X9)
        | g_true_only(a,X9)
        | g_true_only(X9,X12)
        | ~ g_both(X15,X16)
        | g_false_only(X15,esk5_1(X15))
        | g_true_only(esk6_0,X19) )
      & ( g_false_only(esk3_0,esk4_0)
        | ~ g_both(a,X9)
        | g_true_only(a,X9)
        | g_true_only(X9,X12)
        | ~ g_both(X15,X16)
        | g_false_only(X15,esk5_1(X15))
        | g_true_only(esk6_0,X19) )
      & ( g_false_only(a,esk3_0)
        | ~ g_both(X9,X10)
        | g_false_only(X9,esk2_1(X9))
        | g_true_only(a,X9)
        | g_true_only(X9,X12)
        | ~ g_both(X15,X16)
        | g_false_only(X15,esk5_1(X15))
        | g_true_only(esk6_0,X19) )
      & ( g_false_only(esk3_0,esk4_0)
        | ~ g_both(X9,X10)
        | g_false_only(X9,esk2_1(X9))
        | g_true_only(a,X9)
        | g_true_only(X9,X12)
        | ~ g_both(X15,X16)
        | g_false_only(X15,esk5_1(X15))
        | g_true_only(esk6_0,X19) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).

cnf(c_0_10,plain,
    ( ~ g_false(X1,X2)
    | ~ g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( g_false(X1,X2)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( g_false_only(a,esk3_0)
    | g_true_only(a,X1)
    | g_true_only(X1,X2)
    | g_false_only(X3,esk5_1(X3))
    | g_true_only(esk6_0,X5)
    | ~ g_both(a,X1)
    | ~ g_both(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( ~ g_both(X1,X2)
    | ~ g_true_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_14,plain,
    ! [X22,X23] :
      ( g_true_only(X22,X23)
      | g_both(X22,X23)
      | g_false_only(X22,X23) ),
    inference(variable_rename,[status(thm)],[exhaustion_g]) ).

cnf(c_0_15,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(X2,X3)
    | g_false_only(X4,esk5_1(X4))
    | g_false_only(a,esk3_0)
    | ~ g_both(a,X2)
    | ~ g_both(X4,X5) ),
    inference(csr,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( g_true_only(X1,X2)
    | g_both(X1,X2)
    | g_false_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_false_only(a,esk3_0)
    | g_false_only(X4,esk5_1(X4))
    | g_false_only(a,X1)
    | ~ g_both(X4,X5) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_18,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(a,X2)
    | g_true_only(X3,X4)
    | g_true_only(X2,X5)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(a,esk3_0)
    | g_false_only(a,X2)
    | g_false_only(X3,X4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ g_true_only(X1,esk1_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_false_only(a,esk5_1(a))
    | g_false_only(a,esk3_0)
    | g_false_only(a,X1) ),
    inference(ef,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
    <=> ( g_false(X3,X4)
        & ~ g_true(X3,X4) ) ),
    inference(fof_simplification,[status(thm)],[false_only_g]) ).

cnf(c_0_22,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(X1,X2)
    | g_false_only(a,esk5_1(a))
    | g_false_only(a,esk3_0)
    | g_false_only(a,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_23,plain,
    ! [X24,X25] :
      ( ( g_false(X24,X25)
        | ~ g_false_only(X24,X25) )
      & ( ~ g_true(X24,X25)
        | ~ g_false_only(X24,X25) )
      & ( ~ g_false(X24,X25)
        | g_true(X24,X25)
        | g_false_only(X24,X25) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

cnf(c_0_24,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,esk5_1(a))
    | g_false_only(a,esk3_0)
    | g_false_only(a,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_22]) ).

cnf(c_0_25,plain,
    ( ~ g_true(X1,X2)
    | ~ g_false_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,plain,
    ( g_true(X1,X2)
    | ~ g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ g_false_only(a,X1)
    | ~ g_false_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_28,negated_conjecture,
    ( g_true_only(a,esk5_1(a))
    | g_false_only(a,esk5_1(a))
    | g_false_only(a,esk3_0) ),
    inference(ef,[status(thm)],[c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X3,X4)
    | g_false_only(a,esk3_0)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(a,X1)
    | g_false_only(X3,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_30,plain,
    ( ~ g_true_only(X1,X2)
    | ~ g_false_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( g_false_only(esk3_0,esk4_0)
    | g_true_only(a,X1)
    | g_true_only(X1,X2)
    | g_false_only(X3,esk5_1(X3))
    | g_true_only(esk6_0,X5)
    | ~ g_both(a,X1)
    | ~ g_both(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_32,negated_conjecture,
    ( g_true_only(a,esk5_1(a))
    | g_false_only(a,esk3_0)
    | ~ g_false_only(esk5_1(a),X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(X2,X3)
    | g_false_only(X2,esk5_1(X2))
    | g_false_only(a,esk3_0)
    | g_false_only(a,X1)
    | g_false_only(X2,X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,esk3_0)
    | g_false_only(a,X1)
    | ~ g_false_only(esk5_1(a),X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,esk3_0)
    | g_false_only(a,X1)
    | ~ g_true_only(a,esk5_1(a)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_24]) ).

cnf(c_0_36,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(X2,X3)
    | g_false_only(X4,esk5_1(X4))
    | g_false_only(esk3_0,esk4_0)
    | ~ g_both(a,X2)
    | ~ g_both(X4,X5) ),
    inference(csr,[status(thm)],[c_0_31,c_0_13]) ).

cnf(c_0_37,negated_conjecture,
    ( g_true_only(esk5_1(a),X1)
    | g_true_only(a,X2)
    | g_false_only(a,esk3_0)
    | g_false_only(a,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_false_only(esk3_0,esk4_0)
    | g_false_only(X4,esk5_1(X4))
    | g_false_only(a,X1)
    | ~ g_both(X4,X5) ),
    inference(spm,[status(thm)],[c_0_36,c_0_16]) ).

cnf(c_0_39,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,esk3_0)
    | g_false_only(a,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(a,X2)
    | g_true_only(X3,X4)
    | g_true_only(X2,X5)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(esk3_0,esk4_0)
    | g_false_only(a,X2)
    | g_false_only(X3,X4) ),
    inference(spm,[status(thm)],[c_0_38,c_0_16]) ).

cnf(c_0_41,negated_conjecture,
    ( g_false_only(a,esk3_0)
    | g_false_only(X1,esk2_1(X1))
    | g_true_only(a,X1)
    | g_true_only(X1,X3)
    | g_false_only(X4,esk5_1(X4))
    | g_true_only(esk6_0,X6)
    | ~ g_both(X1,X2)
    | ~ g_both(X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_42,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_true_only(X4,X5)
    | g_false_only(a,esk3_0)
    | g_false_only(X4,esk5_1(X4))
    | g_false_only(X4,X5)
    | ~ g_false_only(X1,X6) ),
    inference(spm,[status(thm)],[c_0_27,c_0_18]) ).

cnf(c_0_43,negated_conjecture,
    ( g_true_only(a,esk3_0)
    | g_false_only(a,esk3_0) ),
    inference(ef,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X3,X4)
    | g_false_only(esk3_0,esk4_0)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(a,X1)
    | g_false_only(X3,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(a,X2)
    | g_true_only(X3,X4)
    | g_true_only(X2,X5)
    | g_false_only(a,esk3_0)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(X3,X4)
    | ~ g_both(X2,X6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_16]),c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( g_true_only(a,esk3_0)
    | ~ g_false_only(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(X2,X3)
    | g_false_only(X2,esk5_1(X2))
    | g_false_only(esk3_0,esk4_0)
    | g_false_only(a,X1)
    | g_false_only(X2,X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,X1)
    | ~ g_false_only(esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,X1)
    | ~ g_true_only(a,esk3_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_39]) ).

cnf(c_0_50,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_true_only(X1,X4)
    | g_true_only(X5,X6)
    | g_false_only(X5,esk5_1(X5))
    | g_false_only(a,esk3_0)
    | g_false_only(X5,X6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_16]),c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( g_true_only(esk3_0,X1)
    | g_true_only(a,X2)
    | g_false_only(a,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_48]),c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(a,X2)
    | g_true_only(X3,X4)
    | g_true_only(X2,X5)
    | g_false_only(a,esk3_0)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(X3,X4) ),
    inference(ef,[status(thm)],[c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X3,X4)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(a,esk3_0)
    | g_false_only(X3,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    ( g_true_only(a,X1)
    | ~ g_false_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(X2,X3)
    | g_false_only(a,esk3_0)
    | g_false_only(X2,esk5_1(X2))
    | g_false_only(X2,X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(a,X2)
    | g_true_only(X2,X3)
    | g_false_only(a,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(a,X2)
    | g_false_only(a,esk3_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_57]) ).

cnf(c_0_59,negated_conjecture,
    ( g_false_only(esk3_0,esk4_0)
    | g_false_only(X1,esk2_1(X1))
    | g_true_only(a,X1)
    | g_true_only(X1,X3)
    | g_false_only(X4,esk5_1(X4))
    | g_true_only(esk6_0,X6)
    | ~ g_both(X1,X2)
    | ~ g_both(X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_60,negated_conjecture,
    ( g_true_only(a,X1)
    | g_false_only(a,esk3_0) ),
    inference(ef,[status(thm)],[c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(a,X2)
    | g_true_only(X3,X4)
    | g_true_only(X2,X5)
    | g_false_only(esk3_0,esk4_0)
    | g_false_only(X2,esk2_1(X2))
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(X3,X4)
    | ~ g_both(X2,X6) ),
    inference(spm,[status(thm)],[c_0_59,c_0_16]) ).

cnf(c_0_62,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_true_only(X4,X5)
    | g_false_only(esk3_0,esk4_0)
    | g_false_only(X4,esk5_1(X4))
    | g_false_only(X4,X5)
    | ~ g_false_only(X1,X6) ),
    inference(spm,[status(thm)],[c_0_27,c_0_40]) ).

cnf(c_0_63,negated_conjecture,
    g_false_only(a,esk3_0),
    inference(spm,[status(thm)],[c_0_19,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_true_only(X1,X4)
    | g_true_only(X5,X6)
    | g_false_only(X5,esk5_1(X5))
    | g_false_only(esk3_0,esk4_0)
    | g_false_only(X5,X6) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_16]),c_0_62]),c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    ~ g_false_only(esk3_0,X1),
    inference(spm,[status(thm)],[c_0_27,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    ( g_true_only(esk6_0,X1)
    | g_true_only(a,X2)
    | g_true_only(X3,X4)
    | g_true_only(X2,X5)
    | g_true_only(X2,X6)
    | g_false_only(X3,esk5_1(X3))
    | g_false_only(X3,X4) ),
    inference(sr,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_67,negated_conjecture,
    ( g_true_only(a,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(X1,X3)
    | g_true_only(X4,X5)
    | g_false_only(X4,esk5_1(X4))
    | g_false_only(X4,X5) ),
    inference(ef,[status(thm)],[c_0_66]) ).

cnf(c_0_68,negated_conjecture,
    ( g_true_only(esk3_0,X1)
    | g_true_only(esk6_0,X2)
    | g_true_only(a,X3)
    | g_true_only(X3,X4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_67]),c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    ~ g_true_only(a,esk3_0),
    inference(spm,[status(thm)],[c_0_30,c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    ( g_true_only(esk3_0,X1)
    | g_true_only(esk6_0,X2) ),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_68]),c_0_69]) ).

cnf(c_0_71,negated_conjecture,
    g_true_only(esk3_0,X1),
    inference(spm,[status(thm)],[c_0_19,c_0_70]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_19,c_0_71]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 15:32:28 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  Running first-order model finding
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.NBTIazDzJj/E---3.1_3381.p
% 0.20/0.55  # Version: 3.1pre001
% 0.20/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.55  # Starting sh5l with 300s (1) cores
% 0.20/0.55  # new_bool_3 with pid 3460 completed with status 0
% 0.20/0.55  # Result found by new_bool_3
% 0.20/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.55  # SAT001_MinMin_p005000_rr_RG with pid 3464 completed with status 0
% 0.20/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.55  # Preprocessing time       : 0.001 s
% 0.20/0.55  # Presaturation interreduction done
% 0.20/0.55  
% 0.20/0.55  # Proof found!
% 0.20/0.55  # SZS status Theorem
% 0.20/0.55  # SZS output start CNFRefutation
% See solution above
% 0.20/0.55  # Parsed axioms                        : 5
% 0.20/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.55  # Initial clauses                      : 16
% 0.20/0.55  # Removed in clause preprocessing      : 0
% 0.20/0.55  # Initial clauses in saturation        : 16
% 0.20/0.55  # Processed clauses                    : 493
% 0.20/0.55  # ...of these trivial                  : 8
% 0.20/0.55  # ...subsumed                          : 251
% 0.20/0.55  # ...remaining for further processing  : 234
% 0.20/0.55  # Other redundant clauses eliminated   : 0
% 0.20/0.55  # Clauses deleted for lack of memory   : 0
% 0.20/0.55  # Backward-subsumed                    : 174
% 0.20/0.55  # Backward-rewritten                   : 15
% 0.20/0.55  # Generated clauses                    : 2260
% 0.20/0.55  # ...of the previous two non-redundant : 2008
% 0.20/0.55  # ...aggressively subsumed             : 0
% 0.20/0.55  # Contextual simplify-reflections      : 36
% 0.20/0.55  # Paramodulations                      : 2109
% 0.20/0.55  # Factorizations                       : 150
% 0.20/0.55  # NegExts                              : 0
% 0.20/0.55  # Equation resolutions                 : 0
% 0.20/0.55  # Total rewrite steps                  : 189
% 0.20/0.55  # Propositional unsat checks           : 0
% 0.20/0.55  #    Propositional check models        : 0
% 0.20/0.55  #    Propositional check unsatisfiable : 0
% 0.20/0.55  #    Propositional clauses             : 0
% 0.20/0.55  #    Propositional clauses after purity: 0
% 0.20/0.55  #    Propositional unsat core size     : 0
% 0.20/0.55  #    Propositional preprocessing time  : 0.000
% 0.20/0.55  #    Propositional encoding time       : 0.000
% 0.20/0.55  #    Propositional solver time         : 0.000
% 0.20/0.55  #    Success case prop preproc time    : 0.000
% 0.20/0.55  #    Success case prop encoding time   : 0.000
% 0.20/0.55  #    Success case prop solver time     : 0.000
% 0.20/0.55  # Current number of processed clauses  : 28
% 0.20/0.55  #    Positive orientable unit clauses  : 4
% 0.20/0.55  #    Positive unorientable unit clauses: 0
% 0.20/0.55  #    Negative unit clauses             : 3
% 0.20/0.55  #    Non-unit-clauses                  : 21
% 0.20/0.55  # Current number of unprocessed clauses: 34
% 0.20/0.55  # ...number of literals in the above   : 207
% 0.20/0.55  # Current number of archived formulas  : 0
% 0.20/0.55  # Current number of archived clauses   : 206
% 0.20/0.55  # Clause-clause subsumption calls (NU) : 3757
% 0.20/0.55  # Rec. Clause-clause subsumption calls : 1116
% 0.20/0.55  # Non-unit clause-clause subsumptions  : 457
% 0.20/0.55  # Unit Clause-clause subsumption calls : 58
% 0.20/0.55  # Rewrite failures with RHS unbound    : 0
% 0.20/0.55  # BW rewrite match attempts            : 4
% 0.20/0.55  # BW rewrite match successes           : 4
% 0.20/0.55  # Condensation attempts                : 0
% 0.20/0.55  # Condensation successes               : 0
% 0.20/0.55  # Termbank termtop insertions          : 42233
% 0.20/0.55  
% 0.20/0.55  # -------------------------------------------------
% 0.20/0.55  # User time                : 0.071 s
% 0.20/0.55  # System time              : 0.002 s
% 0.20/0.55  # Total time               : 0.073 s
% 0.20/0.55  # Maximum resident set size: 1752 pages
% 0.20/0.55  
% 0.20/0.55  # -------------------------------------------------
% 0.20/0.55  # User time                : 0.072 s
% 0.20/0.55  # System time              : 0.004 s
% 0.20/0.55  # Total time               : 0.076 s
% 0.20/0.55  # Maximum resident set size: 1676 pages
% 0.20/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------