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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ALG045+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 11:50:31 AM UTC 2026

% Result   : Unsatisfiable 1.50s 0.81s
% Output   : CNFRefutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  109 (  31 unt;   0 def)
%            Number of atoms       :  892 ( 802 equ)
%            Maximal formula atoms :  256 (   8 avg)
%            Number of connectives : 1060 ( 277   ~; 468   |; 313   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   68 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax4,axiom,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(ax6,axiom,
    ( ( op(e3,e3) = e3
      & op(e2,e2) = e3
      & op(e1,e1) = e3
      & op(e0,e0) = e3 )
    | ( op(e3,e3) = e2
      & op(e2,e2) = e2
      & op(e1,e1) = e2
      & op(e0,e0) = e2 )
    | ( op(e3,e3) = e1
      & op(e2,e2) = e1
      & op(e1,e1) = e1
      & op(e0,e0) = e1 )
    | ( op(e3,e3) = e0
      & op(e2,e2) = e0
      & op(e1,e1) = e0
      & op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(ax28,axiom,
    ~ ( e2 = op(e0,e1)
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(ax2,axiom,
    ( ( unit = e3
      | unit = e2
      | unit = e1
      | unit = e0 )
    & op(e3,unit) = e3
    & op(unit,e3) = e3
    & op(e2,unit) = e2
    & op(unit,e2) = e2
    & op(e1,unit) = e1
    & op(unit,e1) = e1
    & op(e0,unit) = e0
    & op(unit,e0) = e0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(ax1,axiom,
    ( ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | op(e3,e3) = e0 )
    & ( op(e3,e2) = e3
      | op(e3,e2) = e2
      | op(e3,e2) = e1
      | op(e3,e2) = e0 )
    & ( op(e3,e1) = e3
      | op(e3,e1) = e2
      | op(e3,e1) = e1
      | op(e3,e1) = e0 )
    & ( op(e3,e0) = e3
      | op(e3,e0) = e2
      | op(e3,e0) = e1
      | op(e3,e0) = e0 )
    & ( op(e2,e3) = e3
      | op(e2,e3) = e2
      | op(e2,e3) = e1
      | op(e2,e3) = e0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | op(e2,e2) = e0 )
    & ( op(e2,e1) = e3
      | op(e2,e1) = e2
      | op(e2,e1) = e1
      | op(e2,e1) = e0 )
    & ( op(e2,e0) = e3
      | op(e2,e0) = e2
      | op(e2,e0) = e1
      | op(e2,e0) = e0 )
    & ( op(e1,e3) = e3
      | op(e1,e3) = e2
      | op(e1,e3) = e1
      | op(e1,e3) = e0 )
    & ( op(e1,e2) = e3
      | op(e1,e2) = e2
      | op(e1,e2) = e1
      | op(e1,e2) = e0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | op(e1,e1) = e0 )
    & ( op(e1,e0) = e3
      | op(e1,e0) = e2
      | op(e1,e0) = e1
      | op(e1,e0) = e0 )
    & ( op(e0,e3) = e3
      | op(e0,e3) = e2
      | op(e0,e3) = e1
      | op(e0,e3) = e0 )
    & ( op(e0,e2) = e3
      | op(e0,e2) = e2
      | op(e0,e2) = e1
      | op(e0,e2) = e0 )
    & ( op(e0,e1) = e3
      | op(e0,e1) = e2
      | op(e0,e1) = e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(ax5,axiom,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(ax21,axiom,
    ~ ( e0 = op(e3,e1)
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(ax3,axiom,
    ( ( op(e3,e3) = e3
      | op(e2,e3) = e3
      | op(e1,e3) = e3
      | op(e0,e3) = e3 )
    & ( op(e3,e3) = e3
      | op(e3,e2) = e3
      | op(e3,e1) = e3
      | op(e3,e0) = e3 )
    & ( op(e3,e3) = e2
      | op(e2,e3) = e2
      | op(e1,e3) = e2
      | op(e0,e3) = e2 )
    & ( op(e3,e3) = e2
      | op(e3,e2) = e2
      | op(e3,e1) = e2
      | op(e3,e0) = e2 )
    & ( op(e3,e3) = e1
      | op(e2,e3) = e1
      | op(e1,e3) = e1
      | op(e0,e3) = e1 )
    & ( op(e3,e3) = e1
      | op(e3,e2) = e1
      | op(e3,e1) = e1
      | op(e3,e0) = e1 )
    & ( op(e3,e3) = e0
      | op(e2,e3) = e0
      | op(e1,e3) = e0
      | op(e0,e3) = e0 )
    & ( op(e3,e3) = e0
      | op(e3,e2) = e0
      | op(e3,e1) = e0
      | op(e3,e0) = e0 )
    & ( op(e3,e2) = e3
      | op(e2,e2) = e3
      | op(e1,e2) = e3
      | op(e0,e2) = e3 )
    & ( op(e2,e3) = e3
      | op(e2,e2) = e3
      | op(e2,e1) = e3
      | op(e2,e0) = e3 )
    & ( op(e3,e2) = e2
      | op(e2,e2) = e2
      | op(e1,e2) = e2
      | op(e0,e2) = e2 )
    & ( op(e2,e3) = e2
      | op(e2,e2) = e2
      | op(e2,e1) = e2
      | op(e2,e0) = e2 )
    & ( op(e3,e2) = e1
      | op(e2,e2) = e1
      | op(e1,e2) = e1
      | op(e0,e2) = e1 )
    & ( op(e2,e3) = e1
      | op(e2,e2) = e1
      | op(e2,e1) = e1
      | op(e2,e0) = e1 )
    & ( op(e3,e2) = e0
      | op(e2,e2) = e0
      | op(e1,e2) = e0
      | op(e0,e2) = e0 )
    & ( op(e2,e3) = e0
      | op(e2,e2) = e0
      | op(e2,e1) = e0
      | op(e2,e0) = e0 )
    & ( op(e3,e1) = e3
      | op(e2,e1) = e3
      | op(e1,e1) = e3
      | op(e0,e1) = e3 )
    & ( op(e1,e3) = e3
      | op(e1,e2) = e3
      | op(e1,e1) = e3
      | op(e1,e0) = e3 )
    & ( op(e3,e1) = e2
      | op(e2,e1) = e2
      | op(e1,e1) = e2
      | op(e0,e1) = e2 )
    & ( op(e1,e3) = e2
      | op(e1,e2) = e2
      | op(e1,e1) = e2
      | op(e1,e0) = e2 )
    & ( op(e3,e1) = e1
      | op(e2,e1) = e1
      | op(e1,e1) = e1
      | op(e0,e1) = e1 )
    & ( op(e1,e3) = e1
      | op(e1,e2) = e1
      | op(e1,e1) = e1
      | op(e1,e0) = e1 )
    & ( op(e3,e1) = e0
      | op(e2,e1) = e0
      | op(e1,e1) = e0
      | op(e0,e1) = e0 )
    & ( op(e1,e3) = e0
      | op(e1,e2) = e0
      | op(e1,e1) = e0
      | op(e1,e0) = e0 )
    & ( op(e3,e0) = e3
      | op(e2,e0) = e3
      | op(e1,e0) = e3
      | op(e0,e0) = e3 )
    & ( op(e0,e3) = e3
      | op(e0,e2) = e3
      | op(e0,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e0) = e2
      | op(e2,e0) = e2
      | op(e1,e0) = e2
      | op(e0,e0) = e2 )
    & ( op(e0,e3) = e2
      | op(e0,e2) = e2
      | op(e0,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e0) = e1
      | op(e2,e0) = e1
      | op(e1,e0) = e1
      | op(e0,e0) = e1 )
    & ( op(e0,e3) = e1
      | op(e0,e2) = e1
      | op(e0,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e0) = e0
      | op(e2,e0) = e0
      | op(e1,e0) = e0
      | op(e0,e0) = e0 )
    & ( op(e0,e3) = e0
      | op(e0,e2) = e0
      | op(e0,e1) = e0
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(ax13,axiom,
    ~ ( e2 = op(e3,e0)
      & e1 = op(e0,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(ax12,axiom,
    ~ ( e2 = op(e1,e3)
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(c_0_10,plain,
    ( epred1_0
  <=> ( ( op(e3,e3) = e2
        & op(e2,e2) = e2
        & op(e1,e1) = e2
        & op(e0,e0) = e2 )
      | ( op(e3,e3) = e1
        & op(e2,e2) = e1
        & op(e1,e1) = e1
        & op(e0,e0) = e1 )
      | ( op(e3,e3) = e0
        & op(e2,e2) = e0
        & op(e1,e1) = e0
        & op(e0,e0) = e0 ) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    inference(fof_simplification,[status(thm)],[ax4]) ).

fof(c_0_12,axiom,
    ( ( op(e3,e3) = e3
      & op(e2,e2) = e3
      & op(e1,e1) = e3
      & op(e0,e0) = e3 )
    | epred1_0 ),
    inference(apply_def,[status(thm)],[ax6,c_0_10]) ).

fof(c_0_13,plain,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    inference(fof_nnf,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ( ( epred1_0
      | op(e3,e3) = e3 )
    & ( epred1_0
      | op(e2,e2) = e3 )
    & ( epred1_0
      | op(e1,e1) = e3 )
    & ( epred1_0
      | op(e0,e0) = e3 ) ),
    inference(distribute,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ( e2 != op(e0,e1)
    | e3 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_16,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_17,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_18,plain,
    op(e0,e1) != op(e1,e1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( epred1_0
    | op(e1,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( e2 != op(e0,e1)
    | e3 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_22,plain,
    op(e0,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,plain,
    ( op(e0,e1) != e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_26,plain,
    ( op(e0,e1) != e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_20,c_0_19]) ).

cnf(c_0_27,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_17]) ).

cnf(c_0_29,plain,
    ( op(e0,e1) != e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,plain,
    ( epred1_0
    | op(e0,e1) = e0
    | op(e0,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_31,plain,
    ( op(e0,e1) != e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_32,plain,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(fof_simplification,[status(thm)],[ax5]) ).

cnf(c_0_33,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_34,plain,
    ( epred1_0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

fof(c_0_35,plain,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(fof_nnf,[status(thm)],[c_0_32]) ).

cnf(c_0_36,plain,
    ( epred1_0
    | op(e2,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_37,plain,
    ( epred1_0
    | unit = e1
    | unit = e0
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_39,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_40,plain,
    ( epred1_0
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_41,plain,
    ( epred1_0
    | unit = e0
    | op(e1,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_43,plain,
    ( epred1_0
   => ( ( op(e3,e3) = e2
        & op(e2,e2) = e2
        & op(e1,e1) = e2
        & op(e0,e0) = e2 )
      | ( op(e3,e3) = e1
        & op(e2,e2) = e1
        & op(e1,e1) = e1
        & op(e0,e0) = e1 )
      | ( op(e3,e3) = e0
        & op(e2,e2) = e0
        & op(e1,e1) = e0
        & op(e0,e0) = e0 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

cnf(c_0_44,plain,
    ( epred1_0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_41]),c_0_42]) ).

fof(c_0_45,plain,
    ( ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e2,e2) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e2,e2) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e2,e2) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e1,e1) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e1,e1) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e0,e0) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e0,e0) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e0,e0) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e3,e3) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e3,e3) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e3,e3) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e3,e3) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e1,e1) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e1,e1) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e0,e0) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e0,e0) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e0,e0) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e2,e2) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e3,e3) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e3,e3) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e3,e3) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e2,e2) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e2,e2) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e2,e2) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e0,e0) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e0,e0) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e0,e0) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e1,e1) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e3,e3) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e3,e3) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e3,e3) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e2,e2) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e2,e2) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e2,e2) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e0,e0) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e3,e3) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e2,e2) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e1,e1) = e2 )
    & ( ~ epred1_0
      | op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

cnf(c_0_46,plain,
    ( epred1_0
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_47,plain,
    ( epred1_0
    | op(e0,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_44]) ).

cnf(c_0_48,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_49,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_50,plain,
    ( ~ epred1_0
    | op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_51,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_52,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e3,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_49,c_0_17]) ).

cnf(c_0_53,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).

cnf(c_0_54,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_38]) ).

cnf(c_0_55,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | op(e3,e3) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_42]) ).

fof(c_0_56,plain,
    ( e0 != op(e3,e1)
    | e2 != op(e1,e1) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).

cnf(c_0_57,plain,
    ( ~ epred1_0
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e1,e1) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_58,plain,
    ( unit = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_55]),c_0_48]) ).

cnf(c_0_59,plain,
    ( e0 != op(e3,e1)
    | e2 != op(e1,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_60,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_61,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_51])]) ).

cnf(c_0_62,plain,
    ( unit = e0
    | unit = e1
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_33,c_0_58]) ).

cnf(c_0_63,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_64,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_65,plain,
    op(e0,e1) != op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_66,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_58]) ).

cnf(c_0_67,plain,
    ( op(e1,e1) != e2
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_68,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e1) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]) ).

cnf(c_0_69,plain,
    ( op(e0,e1) != e0
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,plain,
    ( unit = e0
    | unit = e1
    | op(e2,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_16,c_0_58]) ).

cnf(c_0_71,plain,
    ( unit = e0
    | unit = e1
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_64]),c_0_69]) ).

cnf(c_0_72,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_73,plain,
    ( e2 != op(e3,e0)
    | e1 != op(e0,e0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])]) ).

cnf(c_0_74,plain,
    ( ~ epred1_0
    | op(e1,e1) = e0
    | op(e0,e0) = e1
    | op(e1,e1) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_75,plain,
    ( unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_76,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_77,plain,
    ( e2 != op(e3,e0)
    | e1 != op(e0,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_78,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_79,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_51])]) ).

cnf(c_0_80,plain,
    ( unit = e0
    | op(e1,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_75]) ).

cnf(c_0_81,plain,
    op(e1,e0) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_82,plain,
    ( unit = e0
    | op(e1,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_76,c_0_75]) ).

cnf(c_0_83,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_84,plain,
    ( unit = e0
    | op(e2,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_33,c_0_75]) ).

cnf(c_0_85,plain,
    ( op(e0,e0) != e1
    | op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_86,plain,
    ( unit = e0
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_63]),c_0_72]) ).

cnf(c_0_87,plain,
    ( op(e1,e0) != e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_88,plain,
    ( op(e2,e0) != e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_89,plain,
    ( ~ epred1_0
    | op(e3,e3) = e0
    | op(e0,e0) = e1
    | op(e3,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_90,plain,
    ( e2 != op(e1,e3)
    | e0 != op(e3,e3) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).

cnf(c_0_91,plain,
    ( ~ epred1_0
    | op(e3,e3) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_92,plain,
    op(unit,e0) = e0,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_93,plain,
    unit = e0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_63]),c_0_87]),c_0_88]) ).

cnf(c_0_94,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_95,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_51])]) ).

cnf(c_0_96,plain,
    ( e2 != op(e1,e3)
    | e0 != op(e3,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_97,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_98,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_51])]) ).

cnf(c_0_99,plain,
    op(e0,e0) = e0,
    inference(rw,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_100,plain,
    ( op(e1,e3) != e2
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).

cnf(c_0_101,plain,
    op(e2,e0) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_102,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_33,c_0_93]) ).

cnf(c_0_103,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_104,plain,
    op(e0,e3) = e3,
    inference(rw,[status(thm)],[c_0_97,c_0_93]) ).

cnf(c_0_105,plain,
    op(e3,e3) = e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_99]),c_0_64]),c_0_72]) ).

cnf(c_0_106,plain,
    op(e1,e3) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_99]),c_0_72]) ).

cnf(c_0_107,plain,
    op(e2,e3) != e2,
    inference(rw,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_108,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_38]),c_0_105]),c_0_106]),c_0_107]),c_0_64]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG045+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 21 12:56:54 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44  Running first-order theorem proving
% 0.11/0.44  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.50/0.81  % Version: 3.5.1
% 1.50/0.81  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.50/0.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.50/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.50/0.81  % Starting new_bool_3 with 300s (1) cores
% 1.50/0.81  % Starting new_bool_1 with 300s (1) cores
% 1.50/0.81  % Starting sh5l with 300s (1) cores
% 1.50/0.81  % new_bool_3 with pid 2309452 completed with status 9
% 1.50/0.81  % new_bool_1 with pid 2309453 completed with status 9
% 1.50/0.81  % sh5l with pid 2309454 completed with status 9
% 1.50/0.81  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2309451 completed with status 0
% 1.50/0.81  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.50/0.81  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.50/0.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.50/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.50/0.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.50/0.81  % No SInE strategy applied
% 1.50/0.81  % Search class: FGHSF-FSLM22-SFFFFFNN
% 1.50/0.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.50/0.81  % Starting SubtermCWHack with 136s (1) cores
% 1.50/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.50/0.81  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 1.50/0.81  % Starting new_bool_3 with 136s (1) cores
% 1.50/0.81  % Starting new_bool_1 with 136s (1) cores
% 1.50/0.81  % G-E--_208_C18_F1_SE_CS_SP_PS_S0U with pid 2309473 completed with status 0
% 1.50/0.81  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S0U
% 1.50/0.81  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.50/0.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.50/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.50/0.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.50/0.81  % No SInE strategy applied
% 1.50/0.81  % Search class: FGHSF-FSLM22-SFFFFFNN
% 1.50/0.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.50/0.81  % Starting SubtermCWHack with 136s (1) cores
% 1.50/0.81  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.50/0.81  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 1.50/0.81  % Preprocessing time       : 0.004 s
% 1.50/0.81  % Presaturation interreduction done
% 1.50/0.81  
% 1.50/0.81  % Proof found!
% 1.50/0.81  % SZS status Unsatisfiable
% 1.50/0.81  % SZS output start CNFRefutation
% See solution above
% 1.50/0.82  % Parsed axioms                        : 30
% 1.50/0.82  % Removed by relevancy pruning/SinE    : 0
% 1.50/0.82  % Initial clauses                      : 203
% 1.50/0.82  % Removed in clause preprocessing      : 0
% 1.50/0.82  % Initial clauses in saturation        : 203
% 1.50/0.82  % Processed clauses                    : 2591
% 1.50/0.82  % ...of these trivial                  : 102
% 1.50/0.82  % ...subsumed                          : 1410
% 1.50/0.82  % ...remaining for further processing  : 1078
% 1.50/0.82  % Other redundant clauses eliminated   : 0
% 1.50/0.82  % Clauses deleted for lack of memory   : 0
% 1.50/0.82  % Backward-subsumed                    : 189
% 1.50/0.82  % Backward-rewritten                   : 607
% 1.50/0.82  % Generated clauses                    : 6080
% 1.50/0.82  % ...of the previous two non-redundant : 6323
% 1.50/0.82  % ...aggressively subsumed             : 0
% 1.50/0.82  % Contextual simplify-reflections      : 38
% 1.50/0.82  % Paramodulations                      : 5949
% 1.50/0.82  % Factorizations                       : 100
% 1.50/0.82  % NegExts                              : 0
% 1.50/0.82  % Equation resolutions                 : 0
% 1.50/0.82  % Disequality decompositions           : 0
% 1.50/0.82  % Total rewrite steps                  : 947
% 1.50/0.82  % ...of those cached                   : 935
% 1.50/0.82  % Propositional unsat checks           : 0
% 1.50/0.82  %    Propositional check models        : 0
% 1.50/0.82  %    Propositional check unsatisfiable : 0
% 1.50/0.82  %    Propositional clauses             : 0
% 1.50/0.82  %    Propositional clauses after purity: 0
% 1.50/0.82  %    Propositional unsat core size     : 0
% 1.50/0.82  %    Propositional preprocessing time  : 0.000
% 1.50/0.82  %    Propositional encoding time       : 0.000
% 1.50/0.82  %    Propositional solver time         : 0.000
% 1.50/0.82  %    Success case prop preproc time    : 0.000
% 1.50/0.82  %    Success case prop encoding time   : 0.000
% 1.50/0.82  %    Success case prop solver time     : 0.000
% 1.50/0.82  % Current number of processed clauses  : 48
% 1.50/0.82  %    Positive orientable unit clauses  : 12
% 1.50/0.82  %    Positive unorientable unit clauses: 0
% 1.50/0.82  %    Negative unit clauses             : 36
% 1.50/0.82  %    Non-unit-clauses                  : 0
% 1.50/0.82  % Current number of unprocessed clauses: 3979
% 1.50/0.82  % ...number of literals in the above   : 22055
% 1.50/0.82  % Current number of archived formulas  : 0
% 1.50/0.82  % Current number of archived clauses   : 1030
% 1.50/0.82  % Clause-clause subsumption calls (NU) : 9400
% 1.50/0.82  % Rec. Clause-clause subsumption calls : 4423
% 1.50/0.82  % Non-unit clause-clause subsumptions  : 636
% 1.50/0.82  % Unit Clause-clause subsumption calls : 933
% 1.50/0.82  % Rewrite failures with RHS unbound    : 0
% 1.50/0.82  % BW rewrite match attempts            : 12
% 1.50/0.82  % BW rewrite match successes           : 12
% 1.50/0.82  % Condensation attempts                : 0
% 1.50/0.82  % Condensation successes               : 0
% 1.50/0.82  % Termbank termtop insertions          : 69150
% 1.50/0.82  % Search garbage collected termcells   : 551
% 1.50/0.82  
% 1.50/0.82  % -------------------------------------------------
% 1.50/0.82  % User time                : 0.250 s
% 1.50/0.82  % System time              : 0.011 s
% 1.50/0.82  % Total time               : 0.261 s
% 1.50/0.82  % Maximum resident set size: 3948 pages
% 1.50/0.82  
% 1.50/0.82  % -------------------------------------------------
% 1.50/0.82  % User time                : 1.313 s
% 1.50/0.82  % System time              : 0.113 s
% 1.50/0.82  % Total time               : 1.426 s
% 1.50/0.82  % Maximum resident set size: 4608 pages
% 1.50/0.82  % E exiting
%------------------------------------------------------------------------------