TSTP Solution File: ALG020+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG020+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:06:29 EDT 2024

% Result   : Theorem 0.21s 0.53s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   57 (  30 unt;   0 def)
%            Number of atoms       :  404 ( 387 equ)
%            Maximal formula atoms :   72 (   7 avg)
%            Number of connectives :  401 (  54   ~; 137   |; 206   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (   6 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ( ( ( h(e10) = e20
        | h(e10) = e21
        | h(e10) = e22
        | h(e10) = e23 )
      & ( h(e11) = e20
        | h(e11) = e21
        | h(e11) = e22
        | h(e11) = e23 )
      & ( h(e12) = e20
        | h(e12) = e21
        | h(e12) = e22
        | h(e12) = e23 )
      & ( h(e13) = e20
        | h(e13) = e21
        | h(e13) = e22
        | h(e13) = e23 )
      & ( j(e20) = e10
        | j(e20) = e11
        | j(e20) = e12
        | j(e20) = e13 )
      & ( j(e21) = e10
        | j(e21) = e11
        | j(e21) = e12
        | j(e21) = e13 )
      & ( j(e22) = e10
        | j(e22) = e11
        | j(e22) = e12
        | j(e22) = e13 )
      & ( j(e23) = e10
        | j(e23) = e11
        | j(e23) = e12
        | j(e23) = e13 ) )
   => ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & h(j(e20)) = e20
        & h(j(e21)) = e21
        & h(j(e22)) = e22
        & h(j(e23)) = e23
        & j(h(e10)) = e10
        & j(h(e11)) = e11
        & j(h(e12)) = e12
        & j(h(e13)) = e13 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax2,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(ax4,axiom,
    ( op1(e10,e10) = e10
    & op1(e10,e11) = e11
    & op1(e10,e12) = e12
    & op1(e10,e13) = e13
    & op1(e11,e10) = e11
    & op1(e11,e11) = e10
    & op1(e11,e12) = e13
    & op1(e11,e13) = e12
    & op1(e12,e10) = e12
    & op1(e12,e11) = e13
    & op1(e12,e12) = e10
    & op1(e12,e13) = e11
    & op1(e13,e10) = e13
    & op1(e13,e11) = e12
    & op1(e13,e12) = e11
    & op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(ax5,axiom,
    ( op2(e20,e20) = e20
    & op2(e20,e21) = e21
    & op2(e20,e22) = e22
    & op2(e20,e23) = e23
    & op2(e21,e20) = e21
    & op2(e21,e21) = e23
    & op2(e21,e22) = e20
    & op2(e21,e23) = e22
    & op2(e22,e20) = e22
    & op2(e22,e21) = e20
    & op2(e22,e22) = e23
    & op2(e22,e23) = e21
    & op2(e23,e20) = e23
    & op2(e23,e21) = e22
    & op2(e23,e22) = e21
    & op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(ax1,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(c_0_5,plain,
    ( epred1_0
  <=> ( ( h(e10) = e20
        | h(e10) = e21
        | h(e10) = e22
        | h(e10) = e23 )
      & ( h(e11) = e20
        | h(e11) = e21
        | h(e11) = e22
        | h(e11) = e23 )
      & ( h(e12) = e20
        | h(e12) = e21
        | h(e12) = e22
        | h(e12) = e23 )
      & ( h(e13) = e20
        | h(e13) = e21
        | h(e13) = e22
        | h(e13) = e23 )
      & ( j(e20) = e10
        | j(e20) = e11
        | j(e20) = e12
        | j(e20) = e13 )
      & ( j(e21) = e10
        | j(e21) = e11
        | j(e21) = e12
        | j(e21) = e13 )
      & ( j(e22) = e10
        | j(e22) = e11
        | j(e22) = e12
        | j(e22) = e13 )
      & ( j(e23) = e10
        | j(e23) = e11
        | j(e23) = e12
        | j(e23) = e13 ) ) ),
    introduced(definition) ).

fof(c_0_6,negated_conjecture,
    ~ ( epred1_0
     => ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & h(j(e20)) = e20
          & h(j(e21)) = e21
          & h(j(e22)) = e22
          & h(j(e23)) = e23
          & j(h(e10)) = e10
          & j(h(e11)) = e11
          & j(h(e12)) = e12
          & j(h(e13)) = e13 ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_5]) ).

fof(c_0_7,plain,
    ( epred1_0
   => ( ( h(e10) = e20
        | h(e10) = e21
        | h(e10) = e22
        | h(e10) = e23 )
      & ( h(e11) = e20
        | h(e11) = e21
        | h(e11) = e22
        | h(e11) = e23 )
      & ( h(e12) = e20
        | h(e12) = e21
        | h(e12) = e22
        | h(e12) = e23 )
      & ( h(e13) = e20
        | h(e13) = e21
        | h(e13) = e22
        | h(e13) = e23 )
      & ( j(e20) = e10
        | j(e20) = e11
        | j(e20) = e12
        | j(e20) = e13 )
      & ( j(e21) = e10
        | j(e21) = e11
        | j(e21) = e12
        | j(e21) = e13 )
      & ( j(e22) = e10
        | j(e22) = e11
        | j(e22) = e12
        | j(e22) = e13 )
      & ( j(e23) = e10
        | j(e23) = e11
        | j(e23) = e12
        | j(e23) = e13 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_5]) ).

fof(c_0_8,negated_conjecture,
    ( epred1_0
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & h(j(e20)) = e20
    & h(j(e21)) = e21
    & h(j(e22)) = e22
    & h(j(e23)) = e23
    & j(h(e10)) = e10
    & j(h(e11)) = e11
    & j(h(e12)) = e12
    & j(h(e13)) = e13 ),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ( ( h(e10) = e20
      | h(e10) = e21
      | h(e10) = e22
      | h(e10) = e23
      | ~ epred1_0 )
    & ( h(e11) = e20
      | h(e11) = e21
      | h(e11) = e22
      | h(e11) = e23
      | ~ epred1_0 )
    & ( h(e12) = e20
      | h(e12) = e21
      | h(e12) = e22
      | h(e12) = e23
      | ~ epred1_0 )
    & ( h(e13) = e20
      | h(e13) = e21
      | h(e13) = e22
      | h(e13) = e23
      | ~ epred1_0 )
    & ( j(e20) = e10
      | j(e20) = e11
      | j(e20) = e12
      | j(e20) = e13
      | ~ epred1_0 )
    & ( j(e21) = e10
      | j(e21) = e11
      | j(e21) = e12
      | j(e21) = e13
      | ~ epred1_0 )
    & ( j(e22) = e10
      | j(e22) = e11
      | j(e22) = e12
      | j(e22) = e13
      | ~ epred1_0 )
    & ( j(e23) = e10
      | j(e23) = e11
      | j(e23) = e12
      | j(e23) = e13
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_10,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(fof_simplification,[status(thm)],[ax2]) ).

cnf(c_0_11,negated_conjecture,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    op1(e10,e10) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_13,plain,
    ( h(e10) = e20
    | h(e10) = e21
    | h(e10) = e22
    | h(e10) = e23
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_15,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    op2(h(e10),h(e10)) = h(e10),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,plain,
    ( h(e10) = e23
    | h(e10) = e22
    | h(e10) = e21
    | h(e10) = e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_18,plain,
    op2(e23,e23) = e20,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_19,plain,
    e20 != e23,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( h(e10) = e22
    | h(e10) = e21
    | h(e10) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).

cnf(c_0_21,plain,
    op2(e22,e22) = e23,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_22,plain,
    e22 != e23,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_24,plain,
    op1(e11,e11) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_25,negated_conjecture,
    ( h(e10) = e20
    | h(e10) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_26,plain,
    op2(e21,e21) = e23,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_27,plain,
    e21 != e23,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_28,plain,
    ( h(e11) = e20
    | h(e11) = e21
    | h(e11) = e22
    | h(e11) = e23
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_29,negated_conjecture,
    op2(h(e11),h(e11)) = h(e10),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    h(e10) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_25]),c_0_26]),c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    j(h(e11)) = e11,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_32,plain,
    ( h(e11) = e23
    | h(e11) = e22
    | h(e11) = e21
    | h(e11) = e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_14])]) ).

cnf(c_0_33,negated_conjecture,
    op2(h(e11),h(e11)) = e20,
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ( h(e11) = e22
    | h(e11) = e21
    | h(e11) = e20
    | j(e23) = e11 ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

fof(c_0_35,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(fof_simplification,[status(thm)],[ax1]) ).

cnf(c_0_36,negated_conjecture,
    ( j(e23) = e11
    | h(e11) = e20
    | h(e11) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_21]),c_0_19]) ).

cnf(c_0_37,negated_conjecture,
    j(h(e10)) = e10,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_38,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(fof_nnf,[status(thm)],[c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    j(op2(e22,e22)) = op1(j(e22),j(e22)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_40,negated_conjecture,
    ( h(e11) = e20
    | j(e23) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_26]),c_0_19]) ).

cnf(c_0_41,negated_conjecture,
    j(e20) = e10,
    inference(rw,[status(thm)],[c_0_37,c_0_30]) ).

cnf(c_0_42,plain,
    e10 != e11,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    op1(j(e22),j(e22)) = j(e23),
    inference(rw,[status(thm)],[c_0_39,c_0_21]) ).

cnf(c_0_44,negated_conjecture,
    j(e23) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_40]),c_0_41]),c_0_42]) ).

cnf(c_0_45,plain,
    ( j(e22) = e10
    | j(e22) = e11
    | j(e22) = e12
    | j(e22) = e13
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_46,negated_conjecture,
    op1(j(e22),j(e22)) = e11,
    inference(rw,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ( j(e22) = e13
    | j(e22) = e12
    | j(e22) = e11
    | j(e22) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_14])]) ).

cnf(c_0_48,plain,
    op1(e13,e13) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_49,plain,
    ( j(e22) = e12
    | j(e22) = e11
    | j(e22) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_42]) ).

cnf(c_0_50,plain,
    op1(e12,e12) = e10,
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_51,negated_conjecture,
    h(j(e23)) = e23,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_52,negated_conjecture,
    h(j(e22)) = e22,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_53,negated_conjecture,
    ( j(e22) = e10
    | j(e22) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_49]),c_0_50]),c_0_42]) ).

cnf(c_0_54,negated_conjecture,
    h(e11) = e23,
    inference(rw,[status(thm)],[c_0_51,c_0_44]) ).

cnf(c_0_55,negated_conjecture,
    j(e22) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_22]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_55]),c_0_55]),c_0_12]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : ALG020+1 : TPTP v8.2.0. Released v2.7.0.
% 0.12/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 23:22:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.21/0.51  Running first-order model finding
% 0.21/0.51  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  # Version: 3.1.0
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53  # Starting sh5l with 300s (1) cores
% 0.21/0.53  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10420 completed with status 0
% 0.21/0.53  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FGUSF-FFMM21-SFFFFFNN
% 0.21/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.21/0.53  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.53  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.53  # Starting sh5l with 136s (1) cores
% 0.21/0.53  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10425 completed with status 0
% 0.21/0.53  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FGUSF-FFMM21-SFFFFFNN
% 0.21/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.21/0.53  # Preprocessing time       : 0.001 s
% 0.21/0.53  # Presaturation interreduction done
% 0.21/0.53  
% 0.21/0.53  # Proof found!
% 0.21/0.53  # SZS status Theorem
% 0.21/0.53  # SZS output start CNFRefutation
% See solution above
% 0.21/0.53  # Parsed axioms                        : 6
% 0.21/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.53  # Initial clauses                      : 109
% 0.21/0.53  # Removed in clause preprocessing      : 0
% 0.21/0.53  # Initial clauses in saturation        : 109
% 0.21/0.53  # Processed clauses                    : 278
% 0.21/0.53  # ...of these trivial                  : 1
% 0.21/0.53  # ...subsumed                          : 18
% 0.21/0.53  # ...remaining for further processing  : 259
% 0.21/0.53  # Other redundant clauses eliminated   : 0
% 0.21/0.53  # Clauses deleted for lack of memory   : 0
% 0.21/0.53  # Backward-subsumed                    : 6
% 0.21/0.53  # Backward-rewritten                   : 57
% 0.21/0.53  # Generated clauses                    : 160
% 0.21/0.53  # ...of the previous two non-redundant : 164
% 0.21/0.53  # ...aggressively subsumed             : 0
% 0.21/0.53  # Contextual simplify-reflections      : 0
% 0.21/0.53  # Paramodulations                      : 130
% 0.21/0.53  # Factorizations                       : 30
% 0.21/0.53  # NegExts                              : 0
% 0.21/0.53  # Equation resolutions                 : 0
% 0.21/0.53  # Disequality decompositions           : 0
% 0.21/0.53  # Total rewrite steps                  : 185
% 0.21/0.53  # ...of those cached                   : 137
% 0.21/0.53  # Propositional unsat checks           : 0
% 0.21/0.53  #    Propositional check models        : 0
% 0.21/0.53  #    Propositional check unsatisfiable : 0
% 0.21/0.53  #    Propositional clauses             : 0
% 0.21/0.53  #    Propositional clauses after purity: 0
% 0.21/0.53  #    Propositional unsat core size     : 0
% 0.21/0.53  #    Propositional preprocessing time  : 0.000
% 0.21/0.53  #    Propositional encoding time       : 0.000
% 0.21/0.53  #    Propositional solver time         : 0.000
% 0.21/0.53  #    Success case prop preproc time    : 0.000
% 0.21/0.53  #    Success case prop encoding time   : 0.000
% 0.21/0.53  #    Success case prop solver time     : 0.000
% 0.21/0.53  # Current number of processed clauses  : 87
% 0.21/0.53  #    Positive orientable unit clauses  : 56
% 0.21/0.53  #    Positive unorientable unit clauses: 0
% 0.21/0.53  #    Negative unit clauses             : 28
% 0.21/0.53  #    Non-unit-clauses                  : 3
% 0.21/0.53  # Current number of unprocessed clauses: 70
% 0.21/0.53  # ...number of literals in the above   : 251
% 0.21/0.53  # Current number of archived formulas  : 0
% 0.21/0.53  # Current number of archived clauses   : 172
% 0.21/0.53  # Clause-clause subsumption calls (NU) : 6
% 0.21/0.53  # Rec. Clause-clause subsumption calls : 6
% 0.21/0.53  # Non-unit clause-clause subsumptions  : 6
% 0.21/0.53  # Unit Clause-clause subsumption calls : 686
% 0.21/0.53  # Rewrite failures with RHS unbound    : 0
% 0.21/0.53  # BW rewrite match attempts            : 5
% 0.21/0.53  # BW rewrite match successes           : 5
% 0.21/0.53  # Condensation attempts                : 0
% 0.21/0.53  # Condensation successes               : 0
% 0.21/0.53  # Termbank termtop insertions          : 4914
% 0.21/0.53  # Search garbage collected termcells   : 418
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.010 s
% 0.21/0.53  # System time              : 0.002 s
% 0.21/0.53  # Total time               : 0.012 s
% 0.21/0.53  # Maximum resident set size: 1816 pages
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.041 s
% 0.21/0.53  # System time              : 0.008 s
% 0.21/0.53  # Total time               : 0.049 s
% 0.21/0.53  # Maximum resident set size: 1744 pages
% 0.21/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------