TSTP Solution File: SYN568-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n020.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 : Thu Sep 29 23:56:27 EDT 2022

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   69 (  19 unt;  12 typ;   0 def)
%            Number of atoms       :  281 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  349 ( 142   ~; 178   |;   0   &)
%                                         (  29 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :   17 (  17 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (   9   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  125 ( 114   !;   0   ?; 125   :)

% Comments : 
%------------------------------------------------------------------------------
tff(p10_type,type,
    p10: ( $i * $i ) > $o ).

tff(f4_type,type,
    f4: ( $i * $i ) > $i ).

tff(f6_type,type,
    f6: $i > $i ).

tff(f7_type,type,
    f7: $i > $i ).

tff(f8_type,type,
    f8: $i > $i ).

tff(c12_type,type,
    c12: $i ).

tff(f9_type,type,
    f9: $i > $i ).

tff(c13_type,type,
    c13: $i ).

tff(c14_type,type,
    c14: $i ).

tff(p11_type,type,
    p11: ( $i * $i ) > $o ).

tff(f5_type,type,
    f5: $i > $i ).

tff(p3_type,type,
    p3: ( $i * $i ) > $o ).

tff(1,plain,
    ( p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12)))))
  <=> p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).

tff(3,plain,
    p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ^ [X4: $i,X5: $i] :
      refl(
        ( ( ~ p10(X4,X5)
          | ~ p11(X5,X4) )
      <=> ( ~ p10(X4,X5)
          | ~ p11(X5,X4) ) )),
    inference(bind,[status(th)],]) ).

tff(5,plain,
    ( ! [X4: $i,X5: $i] :
        ( ~ p10(X4,X5)
        | ~ p11(X5,X4) )
  <=> ! [X4: $i,X5: $i] :
        ( ~ p10(X4,X5)
        | ~ p11(X5,X4) ) ),
    inference(quant_intro,[status(thm)],[4]) ).

tff(6,plain,
    ( ! [X4: $i,X5: $i] :
        ( ~ p10(X4,X5)
        | ~ p11(X5,X4) )
  <=> ! [X4: $i,X5: $i] :
        ( ~ p10(X4,X5)
        | ~ p11(X5,X4) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(7,axiom,
    ! [X4: $i,X5: $i] :
      ( ~ p10(X4,X5)
      | ~ p11(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_6) ).

tff(8,plain,
    ! [X4: $i,X5: $i] :
      ( ~ p10(X4,X5)
      | ~ p11(X5,X4) ),
    inference(modus_ponens,[status(thm)],[7,6]) ).

tff(9,plain,
    ! [X4: $i,X5: $i] :
      ( ~ p10(X4,X5)
      | ~ p11(X5,X4) ),
    inference(skolemize,[status(sab)],[8]) ).

tff(10,plain,
    ! [X4: $i,X5: $i] :
      ( ~ p10(X4,X5)
      | ~ p11(X5,X4) ),
    inference(modus_ponens,[status(thm)],[9,5]) ).

tff(11,plain,
    ( ( ~ ! [X4: $i,X5: $i] :
            ( ~ p10(X4,X5)
            | ~ p11(X5,X4) )
      | ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) )
  <=> ( ~ ! [X4: $i,X5: $i] :
            ( ~ p10(X4,X5)
            | ~ p11(X5,X4) )
      | ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(12,plain,
    ( ~ ! [X4: $i,X5: $i] :
          ( ~ p10(X4,X5)
          | ~ p11(X5,X4) )
    | ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
    | ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
    inference(quant_inst,[status(thm)],]) ).

tff(13,plain,
    ( ~ ! [X4: $i,X5: $i] :
          ( ~ p10(X4,X5)
          | ~ p11(X5,X4) )
    | ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
    | ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
    inference(modus_ponens,[status(thm)],[12,11]) ).

tff(14,plain,
    ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12))))),
    inference(unit_resolution,[status(thm)],[13,10,3]) ).

tff(15,plain,
    ^ [X4: $i,X5: $i] :
      refl(
        ( ( p10(X4,X5)
          | p11(X5,X4) )
      <=> ( p10(X4,X5)
          | p11(X5,X4) ) )),
    inference(bind,[status(th)],]) ).

tff(16,plain,
    ( ! [X4: $i,X5: $i] :
        ( p10(X4,X5)
        | p11(X5,X4) )
  <=> ! [X4: $i,X5: $i] :
        ( p10(X4,X5)
        | p11(X5,X4) ) ),
    inference(quant_intro,[status(thm)],[15]) ).

tff(17,plain,
    ( ! [X4: $i,X5: $i] :
        ( p10(X4,X5)
        | p11(X5,X4) )
  <=> ! [X4: $i,X5: $i] :
        ( p10(X4,X5)
        | p11(X5,X4) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(18,axiom,
    ! [X4: $i,X5: $i] :
      ( p10(X4,X5)
      | p11(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_5) ).

tff(19,plain,
    ! [X4: $i,X5: $i] :
      ( p10(X4,X5)
      | p11(X5,X4) ),
    inference(modus_ponens,[status(thm)],[18,17]) ).

tff(20,plain,
    ! [X4: $i,X5: $i] :
      ( p10(X4,X5)
      | p11(X5,X4) ),
    inference(skolemize,[status(sab)],[19]) ).

tff(21,plain,
    ! [X4: $i,X5: $i] :
      ( p10(X4,X5)
      | p11(X5,X4) ),
    inference(modus_ponens,[status(thm)],[20,16]) ).

tff(22,plain,
    ( ~ p11(f9(c13),f9(c14))
  <=> ~ p11(f9(c13),f9(c14)) ),
    inference(rewrite,[status(thm)],]) ).

tff(23,axiom,
    ~ p11(f9(c13),f9(c14)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_3) ).

tff(24,plain,
    ~ p11(f9(c13),f9(c14)),
    inference(modus_ponens,[status(thm)],[23,22]) ).

tff(25,plain,
    ( ( ~ ! [X4: $i,X5: $i] :
            ( p10(X4,X5)
            | p11(X5,X4) )
      | p10(f9(c14),f9(c13))
      | p11(f9(c13),f9(c14)) )
  <=> ( ~ ! [X4: $i,X5: $i] :
            ( p10(X4,X5)
            | p11(X5,X4) )
      | p10(f9(c14),f9(c13))
      | p11(f9(c13),f9(c14)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(26,plain,
    ( ~ ! [X4: $i,X5: $i] :
          ( p10(X4,X5)
          | p11(X5,X4) )
    | p10(f9(c14),f9(c13))
    | p11(f9(c13),f9(c14)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(27,plain,
    ( ~ ! [X4: $i,X5: $i] :
          ( p10(X4,X5)
          | p11(X5,X4) )
    | p10(f9(c14),f9(c13))
    | p11(f9(c13),f9(c14)) ),
    inference(modus_ponens,[status(thm)],[26,25]) ).

tff(28,plain,
    p10(f9(c14),f9(c13)),
    inference(unit_resolution,[status(thm)],[27,24,21]) ).

tff(29,plain,
    ^ [X16: $i] :
      refl(
        ( p11(f5(f6(c12)),f9(X16))
      <=> p11(f5(f6(c12)),f9(X16)) )),
    inference(bind,[status(th)],]) ).

tff(30,plain,
    ( ! [X16: $i] : p11(f5(f6(c12)),f9(X16))
  <=> ! [X16: $i] : p11(f5(f6(c12)),f9(X16)) ),
    inference(quant_intro,[status(thm)],[29]) ).

tff(31,plain,
    ( ! [X16: $i] : p11(f5(f6(c12)),f9(X16))
  <=> ! [X16: $i] : p11(f5(f6(c12)),f9(X16)) ),
    inference(rewrite,[status(thm)],]) ).

tff(32,axiom,
    ! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_4) ).

tff(33,plain,
    ! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
    inference(modus_ponens,[status(thm)],[32,31]) ).

tff(34,plain,
    ! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
    inference(skolemize,[status(sab)],[33]) ).

tff(35,plain,
    ! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
    inference(modus_ponens,[status(thm)],[34,30]) ).

tff(36,plain,
    ( ~ ! [X16: $i] : p11(f5(f6(c12)),f9(X16))
    | p11(f5(f6(c12)),f9(c14)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(37,plain,
    p11(f5(f6(c12)),f9(c14)),
    inference(unit_resolution,[status(thm)],[36,35]) ).

tff(38,plain,
    ^ [X6: $i,X7: $i,X8: $i] :
      refl(
        ( ( ~ p11(f5(f6(c12)),X6)
          | ~ p10(X6,X8)
          | p10(f4(X6,X7),f4(X8,X7))
          | p3(X7,f6(c12)) )
      <=> ( ~ p11(f5(f6(c12)),X6)
          | ~ p10(X6,X8)
          | p10(f4(X6,X7),f4(X8,X7))
          | p3(X7,f6(c12)) ) )),
    inference(bind,[status(th)],]) ).

tff(39,plain,
    ( ! [X6: $i,X7: $i,X8: $i] :
        ( ~ p11(f5(f6(c12)),X6)
        | ~ p10(X6,X8)
        | p10(f4(X6,X7),f4(X8,X7))
        | p3(X7,f6(c12)) )
  <=> ! [X6: $i,X7: $i,X8: $i] :
        ( ~ p11(f5(f6(c12)),X6)
        | ~ p10(X6,X8)
        | p10(f4(X6,X7),f4(X8,X7))
        | p3(X7,f6(c12)) ) ),
    inference(quant_intro,[status(thm)],[38]) ).

tff(40,plain,
    ( ! [X6: $i,X7: $i,X8: $i] :
        ( ~ p11(f5(f6(c12)),X6)
        | ~ p10(X6,X8)
        | p10(f4(X6,X7),f4(X8,X7))
        | p3(X7,f6(c12)) )
  <=> ! [X6: $i,X7: $i,X8: $i] :
        ( ~ p11(f5(f6(c12)),X6)
        | ~ p10(X6,X8)
        | p10(f4(X6,X7),f4(X8,X7))
        | p3(X7,f6(c12)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(41,plain,
    ^ [X6: $i,X7: $i,X8: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              rewrite(
                ( ( p3(X7,f6(c12))
                  | p10(f4(X6,X7),f4(X8,X7)) )
              <=> ( p10(f4(X6,X7),f4(X8,X7))
                  | p3(X7,f6(c12)) ) )),
              ( ( p3(X7,f6(c12))
                | p10(f4(X6,X7),f4(X8,X7))
                | ~ p10(X6,X8) )
            <=> ( p10(f4(X6,X7),f4(X8,X7))
                | p3(X7,f6(c12))
                | ~ p10(X6,X8) ) )),
            rewrite(
              ( ( p10(f4(X6,X7),f4(X8,X7))
                | p3(X7,f6(c12))
                | ~ p10(X6,X8) )
            <=> ( ~ p10(X6,X8)
                | p10(f4(X6,X7),f4(X8,X7))
                | p3(X7,f6(c12)) ) )),
            ( ( p3(X7,f6(c12))
              | p10(f4(X6,X7),f4(X8,X7))
              | ~ p10(X6,X8) )
          <=> ( ~ p10(X6,X8)
              | p10(f4(X6,X7),f4(X8,X7))
              | p3(X7,f6(c12)) ) )),
          ( ( p3(X7,f6(c12))
            | p10(f4(X6,X7),f4(X8,X7))
            | ~ p10(X6,X8)
            | ~ p11(f5(f6(c12)),X6) )
        <=> ( ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12))
            | ~ p11(f5(f6(c12)),X6) ) )),
        rewrite(
          ( ( ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12))
            | ~ p11(f5(f6(c12)),X6) )
        <=> ( ~ p11(f5(f6(c12)),X6)
            | ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12)) ) )),
        ( ( p3(X7,f6(c12))
          | p10(f4(X6,X7),f4(X8,X7))
          | ~ p10(X6,X8)
          | ~ p11(f5(f6(c12)),X6) )
      <=> ( ~ p11(f5(f6(c12)),X6)
          | ~ p10(X6,X8)
          | p10(f4(X6,X7),f4(X8,X7))
          | p3(X7,f6(c12)) ) )),
    inference(bind,[status(th)],]) ).

tff(42,plain,
    ( ! [X6: $i,X7: $i,X8: $i] :
        ( p3(X7,f6(c12))
        | p10(f4(X6,X7),f4(X8,X7))
        | ~ p10(X6,X8)
        | ~ p11(f5(f6(c12)),X6) )
  <=> ! [X6: $i,X7: $i,X8: $i] :
        ( ~ p11(f5(f6(c12)),X6)
        | ~ p10(X6,X8)
        | p10(f4(X6,X7),f4(X8,X7))
        | p3(X7,f6(c12)) ) ),
    inference(quant_intro,[status(thm)],[41]) ).

tff(43,axiom,
    ! [X6: $i,X7: $i,X8: $i] :
      ( p3(X7,f6(c12))
      | p10(f4(X6,X7),f4(X8,X7))
      | ~ p10(X6,X8)
      | ~ p11(f5(f6(c12)),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).

tff(44,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ~ p11(f5(f6(c12)),X6)
      | ~ p10(X6,X8)
      | p10(f4(X6,X7),f4(X8,X7))
      | p3(X7,f6(c12)) ),
    inference(modus_ponens,[status(thm)],[43,42]) ).

tff(45,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ~ p11(f5(f6(c12)),X6)
      | ~ p10(X6,X8)
      | p10(f4(X6,X7),f4(X8,X7))
      | p3(X7,f6(c12)) ),
    inference(modus_ponens,[status(thm)],[44,40]) ).

tff(46,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ~ p11(f5(f6(c12)),X6)
      | ~ p10(X6,X8)
      | p10(f4(X6,X7),f4(X8,X7))
      | p3(X7,f6(c12)) ),
    inference(skolemize,[status(sab)],[45]) ).

tff(47,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ~ p11(f5(f6(c12)),X6)
      | ~ p10(X6,X8)
      | p10(f4(X6,X7),f4(X8,X7))
      | p3(X7,f6(c12)) ),
    inference(modus_ponens,[status(thm)],[46,39]) ).

tff(48,plain,
    ( ~ p3(f6(f7(f8(c12))),f6(c12))
  <=> ~ p3(f6(f7(f8(c12))),f6(c12)) ),
    inference(rewrite,[status(thm)],]) ).

tff(49,axiom,
    ~ p3(f6(f7(f8(c12))),f6(c12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).

tff(50,plain,
    ~ p3(f6(f7(f8(c12))),f6(c12)),
    inference(modus_ponens,[status(thm)],[49,48]) ).

tff(51,plain,
    ( ( ~ ! [X6: $i,X7: $i,X8: $i] :
            ( ~ p11(f5(f6(c12)),X6)
            | ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12)) )
      | p3(f6(f7(f8(c12))),f6(c12))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13)) )
  <=> ( ~ ! [X6: $i,X7: $i,X8: $i] :
            ( ~ p11(f5(f6(c12)),X6)
            | ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12)) )
      | p3(f6(f7(f8(c12))),f6(c12))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(52,plain,
    ( ( ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | p3(f6(f7(f8(c12))),f6(c12)) )
  <=> ( p3(f6(f7(f8(c12))),f6(c12))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(53,plain,
    ( ( ~ ! [X6: $i,X7: $i,X8: $i] :
            ( ~ p11(f5(f6(c12)),X6)
            | ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12)) )
      | ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | p3(f6(f7(f8(c12))),f6(c12)) )
  <=> ( ~ ! [X6: $i,X7: $i,X8: $i] :
            ( ~ p11(f5(f6(c12)),X6)
            | ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12)) )
      | p3(f6(f7(f8(c12))),f6(c12))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13)) ) ),
    inference(monotonicity,[status(thm)],[52]) ).

tff(54,plain,
    ( ( ~ ! [X6: $i,X7: $i,X8: $i] :
            ( ~ p11(f5(f6(c12)),X6)
            | ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12)) )
      | ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | p3(f6(f7(f8(c12))),f6(c12)) )
  <=> ( ~ ! [X6: $i,X7: $i,X8: $i] :
            ( ~ p11(f5(f6(c12)),X6)
            | ~ p10(X6,X8)
            | p10(f4(X6,X7),f4(X8,X7))
            | p3(X7,f6(c12)) )
      | p3(f6(f7(f8(c12))),f6(c12))
      | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
      | ~ p11(f5(f6(c12)),f9(c14))
      | ~ p10(f9(c14),f9(c13)) ) ),
    inference(transitivity,[status(thm)],[53,51]) ).

tff(55,plain,
    ( ~ ! [X6: $i,X7: $i,X8: $i] :
          ( ~ p11(f5(f6(c12)),X6)
          | ~ p10(X6,X8)
          | p10(f4(X6,X7),f4(X8,X7))
          | p3(X7,f6(c12)) )
    | ~ p11(f5(f6(c12)),f9(c14))
    | ~ p10(f9(c14),f9(c13))
    | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
    | p3(f6(f7(f8(c12))),f6(c12)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(56,plain,
    ( ~ ! [X6: $i,X7: $i,X8: $i] :
          ( ~ p11(f5(f6(c12)),X6)
          | ~ p10(X6,X8)
          | p10(f4(X6,X7),f4(X8,X7))
          | p3(X7,f6(c12)) )
    | p3(f6(f7(f8(c12))),f6(c12))
    | p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
    | ~ p11(f5(f6(c12)),f9(c14))
    | ~ p10(f9(c14),f9(c13)) ),
    inference(modus_ponens,[status(thm)],[55,54]) ).

tff(57,plain,
    $false,
    inference(unit_resolution,[status(thm)],[56,50,47,37,28,14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n020.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 : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Sep  5 05:48:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 0.13/0.40  % SZS status Unsatisfiable
% 0.13/0.40  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------