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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : ALG085+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n032.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 : Wed Apr  9 05:24:08 PM UTC 2025

% Result   : Theorem 10.23s 3.22s
% Output   : CNFRefutation 10.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   91 (  82 unt;   0 typ;   0 def)
%            Number of atoms       :  276 ( 271 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives :  212 (  27   ~;  50   |; 134   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > j > h > e24 > e23 > e22 > e21 > e20 > e14 > e13 > e12 > e11 > e10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(e21,type,
    e21: $i ).

tff(e24,type,
    e24: $i ).

tff(e20,type,
    e20: $i ).

tff(e13,type,
    e13: $i ).

tff(e22,type,
    e22: $i ).

tff(op2,type,
    op2: ( $i * $i ) > $i ).

tff(op1,type,
    op1: ( $i * $i ) > $i ).

tff(e10,type,
    e10: $i ).

tff(h,type,
    h: $i > $i ).

tff(e23,type,
    e23: $i ).

tff(e14,type,
    e14: $i ).

tff(e12,type,
    e12: $i ).

tff(j,type,
    j: $i > $i ).

tff(e11,type,
    e11: $i ).

tff(f_54,axiom,
    ( ( e10 != e11 )
    & ( e10 != e12 )
    & ( e10 != e13 )
    & ( e10 != e14 )
    & ( e11 != e12 )
    & ( e11 != e13 )
    & ( e11 != e14 )
    & ( e12 != e13 )
    & ( e12 != e14 )
    & ( e13 != e14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f_255,axiom,
    ( ( op2(e20,e20) = e20 )
    & ( op2(e20,e21) = e21 )
    & ( op2(e20,e22) = e22 )
    & ( op2(e20,e23) = e23 )
    & ( op2(e20,e24) = e24 )
    & ( op2(e21,e20) = e21 )
    & ( op2(e21,e21) = e22 )
    & ( op2(e21,e22) = e24 )
    & ( op2(e21,e23) = e20 )
    & ( op2(e21,e24) = e23 )
    & ( op2(e22,e20) = e22 )
    & ( op2(e22,e21) = e20 )
    & ( op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e24 )
    & ( op2(e22,e24) = e21 )
    & ( op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e24 )
    & ( op2(e23,e22) = e20 )
    & ( op2(e23,e23) = e21 )
    & ( op2(e23,e24) = e22 )
    & ( op2(e24,e20) = e24 )
    & ( op2(e24,e21) = e23 )
    & ( op2(e24,e22) = e21 )
    & ( op2(e24,e23) = e22 )
    & ( op2(e24,e24) = e20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f_206,axiom,
    ( ( op1(e10,e10) = e10 )
    & ( op1(e10,e11) = e11 )
    & ( op1(e10,e12) = e12 )
    & ( op1(e10,e13) = e13 )
    & ( op1(e10,e14) = e14 )
    & ( op1(e11,e10) = e11 )
    & ( op1(e11,e11) = e14 )
    & ( op1(e11,e12) = e10 )
    & ( op1(e11,e13) = e12 )
    & ( op1(e11,e14) = e13 )
    & ( op1(e12,e10) = e12 )
    & ( op1(e12,e11) = e10 )
    & ( op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e14 )
    & ( op1(e12,e14) = e11 )
    & ( op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e12 )
    & ( op1(e13,e12) = e14 )
    & ( op1(e13,e13) = e11 )
    & ( op1(e13,e14) = e10 )
    & ( op1(e14,e10) = e14 )
    & ( op1(e14,e11) = e13 )
    & ( op1(e14,e12) = e11 )
    & ( op1(e14,e13) = e10 )
    & ( op1(e14,e14) = e12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

tff(f_83,axiom,
    ( ( e20 != e21 )
    & ( e20 != e22 )
    & ( e20 != e23 )
    & ( e20 != e24 )
    & ( e21 != e22 )
    & ( e21 != e23 )
    & ( e21 != e24 )
    & ( e22 != e23 )
    & ( e22 != e24 )
    & ( e23 != e24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f_476,negated_conjecture,
    ~ ( ( ( ( h(e10) = e20 )
          | ( h(e10) = e21 )
          | ( h(e10) = e22 )
          | ( h(e10) = e23 )
          | ( h(e10) = e24 ) )
        & ( ( h(e11) = e20 )
          | ( h(e11) = e21 )
          | ( h(e11) = e22 )
          | ( h(e11) = e23 )
          | ( h(e11) = e24 ) )
        & ( ( h(e12) = e20 )
          | ( h(e12) = e21 )
          | ( h(e12) = e22 )
          | ( h(e12) = e23 )
          | ( h(e12) = e24 ) )
        & ( ( h(e13) = e20 )
          | ( h(e13) = e21 )
          | ( h(e13) = e22 )
          | ( h(e13) = e23 )
          | ( h(e13) = e24 ) )
        & ( ( h(e14) = e20 )
          | ( h(e14) = e21 )
          | ( h(e14) = e22 )
          | ( h(e14) = e23 )
          | ( h(e14) = e24 ) )
        & ( ( j(e20) = e10 )
          | ( j(e20) = e11 )
          | ( j(e20) = e12 )
          | ( j(e20) = e13 )
          | ( j(e20) = e14 ) )
        & ( ( j(e21) = e10 )
          | ( j(e21) = e11 )
          | ( j(e21) = e12 )
          | ( j(e21) = e13 )
          | ( j(e21) = e14 ) )
        & ( ( j(e22) = e10 )
          | ( j(e22) = e11 )
          | ( j(e22) = e12 )
          | ( j(e22) = e13 )
          | ( j(e22) = e14 ) )
        & ( ( j(e23) = e10 )
          | ( j(e23) = e11 )
          | ( j(e23) = e12 )
          | ( j(e23) = e13 )
          | ( j(e23) = e14 ) )
        & ( ( j(e24) = e10 )
          | ( j(e24) = e11 )
          | ( j(e24) = e12 )
          | ( j(e24) = e13 )
          | ( j(e24) = e14 ) ) )
     => ~ ( ( 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(e10,e14)) = op2(h(e10),h(e14)) )
          & ( 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(e11,e14)) = op2(h(e11),h(e14)) )
          & ( 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(e12,e14)) = op2(h(e12),h(e14)) )
          & ( 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)) )
          & ( h(op1(e13,e14)) = op2(h(e13),h(e14)) )
          & ( h(op1(e14,e10)) = op2(h(e14),h(e10)) )
          & ( h(op1(e14,e11)) = op2(h(e14),h(e11)) )
          & ( h(op1(e14,e12)) = op2(h(e14),h(e12)) )
          & ( h(op1(e14,e13)) = op2(h(e14),h(e13)) )
          & ( h(op1(e14,e14)) = op2(h(e14),h(e14)) )
          & ( 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(e20,e24)) = op1(j(e20),j(e24)) )
          & ( 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(e21,e24)) = op1(j(e21),j(e24)) )
          & ( 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(e22,e24)) = op1(j(e22),j(e24)) )
          & ( 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)) )
          & ( j(op2(e23,e24)) = op1(j(e23),j(e24)) )
          & ( j(op2(e24,e20)) = op1(j(e24),j(e20)) )
          & ( j(op2(e24,e21)) = op1(j(e24),j(e21)) )
          & ( j(op2(e24,e22)) = op1(j(e24),j(e22)) )
          & ( j(op2(e24,e23)) = op1(j(e24),j(e23)) )
          & ( j(op2(e24,e24)) = op1(j(e24),j(e24)) )
          & ( h(j(e20)) = e20 )
          & ( h(j(e21)) = e21 )
          & ( h(j(e22)) = e22 )
          & ( h(j(e23)) = e23 )
          & ( h(j(e24)) = e24 )
          & ( j(h(e10)) = e10 )
          & ( j(h(e11)) = e11 )
          & ( j(h(e12)) = e12 )
          & ( j(h(e13)) = e13 )
          & ( j(h(e14)) = e14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(c_4,plain,
    e14 != e12,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_6,plain,
    e13 != e12,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_154,plain,
    op2(e23,e23) = e21,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_166,plain,
    op2(e22,e22) = e23,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_104,plain,
    op1(e13,e13) = e11,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_10,plain,
    e13 != e11,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_8,plain,
    e14 != e11,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_116,plain,
    op1(e12,e12) = e13,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_92,plain,
    op1(e14,e14) = e12,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_32,plain,
    e22 != e21,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_178,plain,
    op2(e21,e21) = e22,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_318,plain,
    ( ( j(e21) = e14 )
    | ( j(e21) = e13 )
    | ( j(e21) = e12 )
    | ( j(e21) = e11 )
    | ( j(e21) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1703,plain,
    j(e21) = e10,
    inference(splitLeft,[status(thm)],[c_318]) ).

tff(c_208,plain,
    h(j(e21)) = e21,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1704,plain,
    h(e10) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_1703,c_208]) ).

tff(c_140,plain,
    op1(e10,e10) = e10,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_310,plain,
    op2(h(e10),h(e10)) = h(op1(e10,e10)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_356,plain,
    op2(h(e10),h(e10)) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_140,c_310]) ).

tff(c_1803,plain,
    e22 = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_178,c_1704,c_1704,c_1704,c_356]) ).

tff(c_1804,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_32,c_1803]) ).

tff(c_1805,plain,
    ( ( j(e21) = e11 )
    | ( j(e21) = e12 )
    | ( j(e21) = e13 )
    | ( j(e21) = e14 ) ),
    inference(splitRight,[status(thm)],[c_318]) ).

tff(c_2654,plain,
    j(e21) = e14,
    inference(splitLeft,[status(thm)],[c_1805]) ).

tff(c_248,plain,
    op1(j(e21),j(e21)) = j(op2(e21,e21)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_337,plain,
    op1(j(e21),j(e21)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_178,c_248]) ).

tff(c_2659,plain,
    op1(e14,e14) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_2654,c_2654,c_337]) ).

tff(c_2669,plain,
    j(e22) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_2659]) ).

tff(c_236,plain,
    op1(j(e22),j(e22)) = j(op2(e22,e22)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_343,plain,
    op1(j(e22),j(e22)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_236]) ).

tff(c_2680,plain,
    op1(e12,e12) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_2669,c_2669,c_343]) ).

tff(c_2683,plain,
    j(e23) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_2680]) ).

tff(c_204,plain,
    h(j(e23)) = e23,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2711,plain,
    h(e13) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_2683,c_204]) ).

tff(c_274,plain,
    op2(h(e13),h(e13)) = h(op1(e13,e13)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_374,plain,
    op2(h(e13),h(e13)) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_274]) ).

tff(c_2733,plain,
    op2(e23,e23) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_2711,c_2711,c_374]) ).

tff(c_2736,plain,
    h(e11) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_2733]) ).

tff(c_198,plain,
    j(h(e11)) = e11,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2747,plain,
    j(e21) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_2736,c_198]) ).

tff(c_2752,plain,
    e14 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_2747,c_2654]) ).

tff(c_2754,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_2752]) ).

tff(c_2755,plain,
    ( ( j(e21) = e13 )
    | ( j(e21) = e12 )
    | ( j(e21) = e11 ) ),
    inference(splitRight,[status(thm)],[c_1805]) ).

tff(c_2757,plain,
    j(e21) = e11,
    inference(splitLeft,[status(thm)],[c_2755]) ).

tff(c_128,plain,
    op1(e11,e11) = e14,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_2763,plain,
    op1(e11,e11) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_2757,c_2757,c_337]) ).

tff(c_2773,plain,
    j(e22) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_2763]) ).

tff(c_206,plain,
    h(j(e22)) = e22,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2786,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_2773,c_206]) ).

tff(c_262,plain,
    op2(h(e14),h(e14)) = h(op1(e14,e14)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_380,plain,
    op2(h(e14),h(e14)) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_262]) ).

tff(c_2814,plain,
    op2(e22,e22) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2786,c_2786,c_380]) ).

tff(c_2821,plain,
    h(e12) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_2814]) ).

tff(c_286,plain,
    op2(h(e12),h(e12)) = h(op1(e12,e12)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_368,plain,
    op2(h(e12),h(e12)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_286]) ).

tff(c_2839,plain,
    op2(e23,e23) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2821,c_2821,c_368]) ).

tff(c_2841,plain,
    h(e13) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_2839]) ).

tff(c_194,plain,
    j(h(e13)) = e13,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2851,plain,
    j(e21) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_2841,c_194]) ).

tff(c_2852,plain,
    e13 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_2757,c_2851]) ).

tff(c_2854,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_2852]) ).

tff(c_2855,plain,
    ( ( j(e21) = e12 )
    | ( j(e21) = e13 ) ),
    inference(splitRight,[status(thm)],[c_2755]) ).

tff(c_2857,plain,
    j(e21) = e13,
    inference(splitLeft,[status(thm)],[c_2855]) ).

tff(c_2864,plain,
    op1(e13,e13) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_2857,c_2857,c_337]) ).

tff(c_2874,plain,
    j(e22) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_2864]) ).

tff(c_2887,plain,
    h(e11) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_2874,c_206]) ).

tff(c_298,plain,
    op2(h(e11),h(e11)) = h(op1(e11,e11)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_362,plain,
    op2(h(e11),h(e11)) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_298]) ).

tff(c_2917,plain,
    op2(e22,e22) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2887,c_2887,c_362]) ).

tff(c_2922,plain,
    h(e14) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_2917]) ).

tff(c_2929,plain,
    op2(e23,e23) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2922,c_2922,c_380]) ).

tff(c_2934,plain,
    h(e12) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_2929]) ).

tff(c_196,plain,
    j(h(e12)) = e12,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2951,plain,
    j(e21) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_2934,c_196]) ).

tff(c_2957,plain,
    e13 = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_2951,c_2857]) ).

tff(c_2959,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_2957]) ).

tff(c_2960,plain,
    j(e21) = e12,
    inference(splitRight,[status(thm)],[c_2855]) ).

tff(c_2977,plain,
    h(e12) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_2960,c_208]) ).

tff(c_2996,plain,
    op2(e21,e21) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2977,c_2977,c_368]) ).

tff(c_2998,plain,
    h(e13) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_178,c_2996]) ).

tff(c_3023,plain,
    op2(e22,e22) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_2998,c_2998,c_374]) ).

tff(c_3027,plain,
    h(e11) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_3023]) ).

tff(c_3043,plain,
    op2(e23,e23) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_3027,c_3027,c_362]) ).

tff(c_3047,plain,
    h(e14) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_3043]) ).

tff(c_192,plain,
    j(h(e14)) = e14,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_3057,plain,
    j(e21) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_3047,c_192]) ).

tff(c_3058,plain,
    e14 = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_2960,c_3057]) ).

tff(c_3060,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_3058]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : ALG085+1 : TPTP v9.0.0. Released v2.7.0.
% 0.00/0.09  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Sun Apr  6 06:59:31 EDT 2025
% 0.08/0.28  % CPUTime  : 
% 10.23/3.22  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.23/3.23  
% 10.23/3.23  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------