TSTP Solution File: SWW295+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW295+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 00:10:29 EDT 2022

% Result   : Theorem 1.23s 25.41s
% Output   : CNFRefutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   54 (   7 unt;   0 def)
%            Number of atoms       :  199 (   0 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  227 (  82   ~; 123   |;  10   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :  111 (   4 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    ( ! [X319,X320] :
        ( v_P(X319,X320)
       => ! [X321] :
            ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X320,v_n,X321)
           => v_Q(X319,X321) ) )
  <=> ! [X319,X320] :
        ( v_P(X319,X320)
       => ! [X321] :
            ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X320,hAPP(c_Nat_OSuc,v_n),X321)
           => v_Q(X319,X321) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).

fof(fact_evaln_Oequations_I9_J,axiom,
    ! [X8,X9,X10,X11] :
      ( c_Natural_Oevaln(c_Com_Ocom_OBODY(X11),X10,hAPP(c_Nat_OSuc,X9),X8)
    <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X11)),X10,X9,X8) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_evaln_Oequations_I9_J) ).

fof(fact_evaln_OBody,axiom,
    ! [X4,X5,X6,X7] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X7)),X6,X5,X4)
     => c_Natural_Oevaln(c_Com_Ocom_OBODY(X7),X6,hAPP(c_Nat_OSuc,X5),X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_evaln_OBody) ).

fof(c_0_3,negated_conjecture,
    ~ ( ! [X319,X320] :
          ( v_P(X319,X320)
         => ! [X321] :
              ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X320,v_n,X321)
             => v_Q(X319,X321) ) )
    <=> ! [X319,X320] :
          ( v_P(X319,X320)
         => ! [X321] :
              ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X320,hAPP(c_Nat_OSuc,v_n),X321)
             => v_Q(X319,X321) ) ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_4,negated_conjecture,
    ! [X328,X329,X330,X331,X332,X333] :
      ( ( v_P(esk4_0,esk5_0)
        | v_P(esk1_0,esk2_0) )
      & ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
        | v_P(esk1_0,esk2_0) )
      & ( ~ v_Q(esk4_0,esk6_0)
        | v_P(esk1_0,esk2_0) )
      & ( v_P(esk4_0,esk5_0)
        | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0) )
      & ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
        | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0) )
      & ( ~ v_Q(esk4_0,esk6_0)
        | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0) )
      & ( v_P(esk4_0,esk5_0)
        | ~ v_Q(esk1_0,esk3_0) )
      & ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
        | ~ v_Q(esk1_0,esk3_0) )
      & ( ~ v_Q(esk4_0,esk6_0)
        | ~ v_Q(esk1_0,esk3_0) )
      & ( ~ v_P(X328,X329)
        | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X329,v_n,X330)
        | v_Q(X328,X330)
        | ~ v_P(X331,X332)
        | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X332,hAPP(c_Nat_OSuc,v_n),X333)
        | v_Q(X331,X333) ) ),
    inference(distribute,[status(thm)],[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)],[c_0_3])])])])])])]) ).

fof(c_0_5,plain,
    ! [X12,X13,X14,X15,X12,X13,X14,X15] :
      ( ( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X15),X14,hAPP(c_Nat_OSuc,X13),X12)
        | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X15)),X14,X13,X12) )
      & ( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X15)),X14,X13,X12)
        | c_Natural_Oevaln(c_Com_Ocom_OBODY(X15),X14,hAPP(c_Nat_OSuc,X13),X12) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln_Oequations_I9_J])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( v_Q(X1,X2)
    | v_Q(X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X3,hAPP(c_Nat_OSuc,v_n),X2)
    | ~ v_P(X1,X3)
    | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X6,v_n,X5)
    | ~ v_P(X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,hAPP(c_Nat_OSuc,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( v_Q(X1,X2)
    | v_Q(X3,X4)
    | ~ v_P(X1,X5)
    | ~ v_P(X3,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X6,hAPP(c_Nat_OSuc,v_n),X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X5,hAPP(c_Nat_OSuc,v_n),X2) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ( v_P(esk1_0,esk2_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_10,plain,
    ! [X8,X9,X10,X11] :
      ( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X11)),X10,X9,X8)
      | c_Natural_Oevaln(c_Com_Ocom_OBODY(X11),X10,hAPP(c_Nat_OSuc,X9),X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln_OBody])]) ).

cnf(c_0_11,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,X3)
    | v_P(esk1_0,esk2_0)
    | ~ v_P(X1,esk5_0)
    | ~ v_P(X2,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0)
    | v_P(esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,hAPP(c_Nat_OSuc,X3),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,esk6_0)
    | v_P(esk1_0,esk2_0)
    | ~ v_P(X2,esk5_0)
    | ~ v_P(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    ( v_P(esk1_0,esk2_0)
    | v_P(esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,negated_conjecture,
    ( v_P(esk1_0,esk2_0)
    | ~ v_Q(esk4_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,negated_conjecture,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_Q(X2,X3)
    | v_P(esk4_0,esk5_0)
    | ~ v_P(X1,esk2_0)
    | ~ v_P(X2,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(spm,[status(thm)],[c_0_6,c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( v_P(esk4_0,esk5_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_P(esk1_0,esk2_0)
    | ~ v_P(X1,esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_Q(X2,esk3_0)
    | v_P(esk4_0,esk5_0)
    | ~ v_P(X2,esk2_0)
    | ~ v_P(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    v_P(esk1_0,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( v_P(esk4_0,esk5_0)
    | ~ v_Q(esk1_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_25,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,X3)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
    | ~ v_P(X1,esk5_0)
    | ~ v_P(X2,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_P(esk4_0,esk5_0)
    | ~ v_P(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),esk2_0,v_n,esk3_0)
    | ~ v_Q(esk4_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_28,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,esk6_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
    | ~ v_P(X2,esk5_0)
    | ~ v_P(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    v_P(esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_26]),c_0_23])]) ).

cnf(c_0_30,negated_conjecture,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
    | ~ v_Q(esk4_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0)
    | ~ v_P(X1,esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_Q(X2,X3)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
    | ~ v_P(X1,esk2_0)
    | ~ v_P(X2,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(spm,[status(thm)],[c_0_6,c_0_17]) ).

cnf(c_0_33,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk2_0,hAPP(c_Nat_OSuc,v_n),esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_Q(X2,esk3_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
    | ~ v_P(X2,esk2_0)
    | ~ v_P(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,negated_conjecture,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
    | ~ v_Q(esk1_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_36,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0)
    | ~ v_P(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_35]) ).

cnf(c_0_37,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_Q(X2,X3)
    | ~ v_P(X1,esk2_0)
    | ~ v_P(X2,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),esk5_0,hAPP(c_Nat_OSuc,v_n),esk6_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_23]),c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,esk3_0)
    | ~ v_P(X2,esk2_0)
    | ~ v_P(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_40,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_Q(X2,X3)
    | ~ v_Q(esk4_0,esk6_0)
    | ~ v_P(X1,esk2_0)
    | ~ v_P(X2,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(spm,[status(thm)],[c_0_6,c_0_27]) ).

cnf(c_0_41,negated_conjecture,
    ( v_Q(esk1_0,esk3_0)
    | v_Q(X1,esk6_0)
    | ~ v_P(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_23]) ).

cnf(c_0_42,negated_conjecture,
    ( v_Q(X1,esk3_0)
    | v_Q(X2,esk3_0)
    | ~ v_Q(esk4_0,esk6_0)
    | ~ v_P(X2,esk2_0)
    | ~ v_P(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_30]) ).

cnf(c_0_43,negated_conjecture,
    ( v_Q(esk4_0,esk6_0)
    | v_Q(esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_29]) ).

cnf(c_0_44,negated_conjecture,
    ( v_Q(esk1_0,esk3_0)
    | v_Q(X1,esk3_0)
    | v_Q(X2,esk3_0)
    | ~ v_P(X1,esk2_0)
    | ~ v_P(X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,X3)
    | ~ v_Q(esk1_0,esk3_0)
    | ~ v_P(X1,esk5_0)
    | ~ v_P(X2,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_35]) ).

cnf(c_0_46,negated_conjecture,
    ( v_Q(esk1_0,esk3_0)
    | v_Q(X1,esk3_0)
    | ~ v_P(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_23]) ).

cnf(c_0_47,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,esk6_0)
    | ~ v_Q(esk1_0,esk3_0)
    | ~ v_P(X2,esk5_0)
    | ~ v_P(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_35]) ).

cnf(c_0_48,negated_conjecture,
    v_Q(esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_46,c_0_23]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ v_Q(esk1_0,esk3_0)
    | ~ v_Q(esk4_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_50,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | v_Q(X2,esk6_0)
    | ~ v_P(X1,esk5_0)
    | ~ v_P(X2,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).

cnf(c_0_51,negated_conjecture,
    ~ v_Q(esk4_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_48])]) ).

cnf(c_0_52,negated_conjecture,
    ( v_Q(X1,esk6_0)
    | ~ v_P(X1,esk5_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : SWW295+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.09  % Command  : run_ET %s %d
% 0.09/0.28  % Computer : n022.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Mon Jun  6 06:27:35 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 1.23/24.32  eprover: CPU time limit exceeded, terminating
% 1.23/24.32  eprover: CPU time limit exceeded, terminating
% 1.23/24.33  eprover: CPU time limit exceeded, terminating
% 1.23/24.34  eprover: CPU time limit exceeded, terminating
% 1.23/25.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.23/25.41  
% 1.23/25.41  # Failure: Resource limit exceeded (time)
% 1.23/25.41  # OLD status Res
% 1.23/25.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.23/25.41  # Preprocessing time       : 0.289 s
% 1.23/25.41  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.23/25.41  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.23/25.41  # Preprocessing time       : 0.148 s
% 1.23/25.41  
% 1.23/25.41  # Proof found!
% 1.23/25.41  # SZS status Theorem
% 1.23/25.41  # SZS output start CNFRefutation
% See solution above
% 1.23/25.41  # Proof object total steps             : 54
% 1.23/25.41  # Proof object clause steps            : 47
% 1.23/25.41  # Proof object formula steps           : 7
% 1.23/25.41  # Proof object conjectures             : 48
% 1.23/25.41  # Proof object clause conjectures      : 45
% 1.23/25.41  # Proof object formula conjectures     : 3
% 1.23/25.41  # Proof object initial clauses used    : 12
% 1.23/25.41  # Proof object initial formulas used   : 3
% 1.23/25.41  # Proof object generating inferences   : 33
% 1.23/25.41  # Proof object simplifying inferences  : 16
% 1.23/25.41  # Training examples: 0 positive, 0 negative
% 1.23/25.41  # Parsed axioms                        : 5205
% 1.23/25.41  # Removed by relevancy pruning/SinE    : 5079
% 1.23/25.41  # Initial clauses                      : 210
% 1.23/25.41  # Removed in clause preprocessing      : 8
% 1.23/25.41  # Initial clauses in saturation        : 202
% 1.23/25.41  # Processed clauses                    : 442
% 1.23/25.41  # ...of these trivial                  : 7
% 1.23/25.41  # ...subsumed                          : 158
% 1.23/25.41  # ...remaining for further processing  : 277
% 1.23/25.41  # Other redundant clauses eliminated   : 27
% 1.23/25.41  # Clauses deleted for lack of memory   : 0
% 1.23/25.41  # Backward-subsumed                    : 32
% 1.23/25.41  # Backward-rewritten                   : 39
% 1.23/25.41  # Generated clauses                    : 2139
% 1.23/25.41  # ...of the previous two non-trivial   : 2020
% 1.23/25.41  # Contextual simplify-reflections      : 61
% 1.23/25.41  # Paramodulations                      : 2105
% 1.23/25.41  # Factorizations                       : 0
% 1.23/25.41  # Equation resolutions                 : 34
% 1.23/25.41  # Current number of processed clauses  : 202
% 1.23/25.41  #    Positive orientable unit clauses  : 39
% 1.23/25.41  #    Positive unorientable unit clauses: 1
% 1.23/25.41  #    Negative unit clauses             : 34
% 1.23/25.41  #    Non-unit-clauses                  : 128
% 1.23/25.41  # Current number of unprocessed clauses: 1497
% 1.23/25.41  # ...number of literals in the above   : 3923
% 1.23/25.41  # Current number of archived formulas  : 0
% 1.23/25.41  # Current number of archived clauses   : 71
% 1.23/25.41  # Clause-clause subsumption calls (NU) : 6824
% 1.23/25.41  # Rec. Clause-clause subsumption calls : 3864
% 1.23/25.41  # Non-unit clause-clause subsumptions  : 155
% 1.23/25.41  # Unit Clause-clause subsumption calls : 611
% 1.23/25.41  # Rewrite failures with RHS unbound    : 3
% 1.23/25.41  # BW rewrite match attempts            : 114
% 1.23/25.41  # BW rewrite match successes           : 18
% 1.23/25.41  # Condensation attempts                : 0
% 1.23/25.41  # Condensation successes               : 0
% 1.23/25.41  # Termbank termtop insertions          : 188985
% 1.23/25.41  
% 1.23/25.41  # -------------------------------------------------
% 1.23/25.41  # User time                : 0.172 s
% 1.23/25.41  # System time              : 0.010 s
% 1.23/25.41  # Total time               : 0.182 s
% 1.23/25.41  # Maximum resident set size: 14896 pages
% 1.23/47.35  eprover: CPU time limit exceeded, terminating
% 1.23/47.36  eprover: CPU time limit exceeded, terminating
% 1.23/47.37  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.37  eprover: No such file or directory
% 1.23/47.37  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.37  eprover: No such file or directory
% 1.23/47.38  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.38  eprover: No such file or directory
% 1.23/47.38  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.38  eprover: No such file or directory
% 1.23/47.38  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.38  eprover: No such file or directory
% 1.23/47.39  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.39  eprover: No such file or directory
% 1.23/47.39  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.39  eprover: No such file or directory
% 1.23/47.39  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.39  eprover: No such file or directory
% 1.23/47.39  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.39  eprover: No such file or directory
% 1.23/47.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.40  eprover: No such file or directory
% 1.23/47.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.40  eprover: No such file or directory
% 1.23/47.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.40  eprover: No such file or directory
% 1.23/47.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.40  eprover: No such file or directory
% 1.23/47.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.41  eprover: No such file or directory
% 1.23/47.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.41  eprover: No such file or directory
% 1.23/47.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.41  eprover: No such file or directory
% 1.23/47.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.41  eprover: No such file or directory
% 1.23/47.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.42  eprover: No such file or directory
% 1.23/47.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.42  eprover: No such file or directory
% 1.23/47.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.23/47.43  eprover: No such file or directory
%------------------------------------------------------------------------------