TSTP Solution File: ALG077+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ALG077+1 : TPTP v8.1.2. 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 : n028.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 : Tue Aug 22 10:31:07 EDT 2023

% Result   : Theorem 8.14s 2.94s
% Output   : CNFRefutation 8.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  100 (  75 unt;  14 typ;   0 def)
%            Number of atoms       :  279 ( 272 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives :  222 (  29   ~;  58   |; 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  :    6 (   4   >;   2   *;   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) = e23 )
    & ( op2(e21,e23) = e24 )
    & ( op2(e21,e24) = e20 )
    & ( op2(e22,e20) = e22 )
    & ( op2(e22,e21) = e24 )
    & ( op2(e22,e22) = e21 )
    & ( op2(e22,e23) = e20 )
    & ( op2(e22,e24) = e23 )
    & ( op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20 )
    & ( op2(e23,e22) = e24 )
    & ( op2(e23,e23) = e21 )
    & ( op2(e23,e24) = e22 )
    & ( op2(e24,e20) = e24 )
    & ( op2(e24,e21) = e23 )
    & ( op2(e24,e22) = e20 )
    & ( op2(e24,e23) = e22 )
    & ( op2(e24,e24) = e21 ) ),
    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) = e13 )
    & ( op1(e11,e13) = e10 )
    & ( op1(e11,e14) = e12 )
    & ( op1(e12,e10) = e12 )
    & ( op1(e12,e11) = e10 )
    & ( op1(e12,e12) = e14 )
    & ( op1(e12,e13) = e11 )
    & ( op1(e12,e14) = e13 )
    & ( op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e12 )
    & ( op1(e13,e12) = e10 )
    & ( op1(e13,e13) = e14 )
    & ( op1(e13,e14) = e11 )
    & ( op1(e14,e10) = e14 )
    & ( op1(e14,e11) = e13 )
    & ( op1(e14,e12) = e11 )
    & ( op1(e14,e13) = e12 )
    & ( op1(e14,e14) = e10 ) ),
    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_18,plain,
    e12 != e10,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_166,plain,
    op2(e22,e22) = e21,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

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

tff(c_16,plain,
    e13 != e10,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_104,plain,
    op1(e13,e13) = e14,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_20,plain,
    e11 != e10,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

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

tff(c_28,plain,
    e24 != e21,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

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_1574,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_1576,plain,
    h(e10) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_1574,c_208]) ).

tff(c_312,plain,
    ( ( j(e24) = e14 )
    | ( j(e24) = e13 )
    | ( j(e24) = e12 )
    | ( j(e24) = e11 )
    | ( j(e24) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1663,plain,
    j(e24) = e10,
    inference(splitLeft,[status(thm)],[c_312]) ).

tff(c_202,plain,
    h(j(e24)) = e24,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1667,plain,
    h(e10) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_1663,c_202]) ).

tff(c_1669,plain,
    e24 = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_1576,c_1667]) ).

tff(c_1671,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_28,c_1669]) ).

tff(c_1673,plain,
    j(e24) != e10,
    inference(splitRight,[status(thm)],[c_312]) ).

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

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_1769,plain,
    j(e22) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_140,c_1574,c_1574,c_337]) ).

tff(c_168,plain,
    op2(e22,e21) = e24,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_238,plain,
    op1(j(e22),j(e21)) = j(op2(e22,e21)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_342,plain,
    op1(j(e22),j(e21)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_238]) ).

tff(c_1764,plain,
    op1(j(e22),e10) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_1574,c_342]) ).

tff(c_1770,plain,
    op1(e10,e10) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_1769,c_1764]) ).

tff(c_1779,plain,
    j(e24) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_140,c_1770]) ).

tff(c_1781,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1673,c_1779]) ).

tff(c_1783,plain,
    j(e21) != e10,
    inference(splitRight,[status(thm)],[c_318]) ).

tff(c_316,plain,
    ( ( j(e22) = e14 )
    | ( j(e22) = e13 )
    | ( j(e22) = e12 )
    | ( j(e22) = e11 )
    | ( j(e22) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2144,plain,
    j(e22) = e10,
    inference(splitLeft,[status(thm)],[c_316]) ).

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(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_236]) ).

tff(c_2153,plain,
    op1(e10,e10) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_2144,c_2144,c_343]) ).

tff(c_2156,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_140,c_2153]) ).

tff(c_2158,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1783,c_2156]) ).

tff(c_2160,plain,
    j(e22) != e10,
    inference(splitRight,[status(thm)],[c_316]) ).

tff(c_92,plain,
    op1(e14,e14) = e10,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_1782,plain,
    ( ( j(e21) = e11 )
    | ( j(e21) = e12 )
    | ( j(e21) = e13 )
    | ( j(e21) = e14 ) ),
    inference(splitRight,[status(thm)],[c_318]) ).

tff(c_2193,plain,
    j(e21) = e14,
    inference(splitLeft,[status(thm)],[c_1782]) ).

tff(c_2196,plain,
    op1(e14,e14) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_2193,c_2193,c_337]) ).

tff(c_2208,plain,
    j(e22) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_2196]) ).

tff(c_2210,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2160,c_2208]) ).

tff(c_2211,plain,
    ( ( j(e21) = e13 )
    | ( j(e21) = e12 )
    | ( j(e21) = e11 ) ),
    inference(splitRight,[status(thm)],[c_1782]) ).

tff(c_2213,plain,
    j(e21) = e11,
    inference(splitLeft,[status(thm)],[c_2211]) ).

tff(c_2217,plain,
    op1(e11,e11) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_2213,c_2213,c_337]) ).

tff(c_2229,plain,
    j(e22) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_2217]) ).

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

tff(c_2243,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_2229,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(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_262]) ).

tff(c_2269,plain,
    op2(e22,e22) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_2243,c_2243,c_380]) ).

tff(c_2277,plain,
    h(e10) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_2269]) ).

tff(c_200,plain,
    j(h(e10)) = e10,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2293,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_2277,c_200]) ).

tff(c_2298,plain,
    e11 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_2293,c_2213]) ).

tff(c_2300,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20,c_2298]) ).

tff(c_2301,plain,
    ( ( j(e21) = e12 )
    | ( j(e21) = e13 ) ),
    inference(splitRight,[status(thm)],[c_2211]) ).

tff(c_2303,plain,
    j(e21) = e13,
    inference(splitLeft,[status(thm)],[c_2301]) ).

tff(c_2308,plain,
    op1(e13,e13) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_2303,c_2303,c_337]) ).

tff(c_2320,plain,
    j(e22) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_2308]) ).

tff(c_2334,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_2320,c_206]) ).

tff(c_2359,plain,
    op2(e22,e22) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2334,c_380]) ).

tff(c_2368,plain,
    h(e10) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_2359]) ).

tff(c_2384,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_2368,c_200]) ).

tff(c_2389,plain,
    e13 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_2384,c_2303]) ).

tff(c_2391,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16,c_2389]) ).

tff(c_2392,plain,
    j(e21) = e12,
    inference(splitRight,[status(thm)],[c_2301]) ).

tff(c_2409,plain,
    h(e12) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_2392,c_208]) ).

tff(c_116,plain,
    op1(e12,e12) = e14,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

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(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_286]) ).

tff(c_2427,plain,
    op2(e21,e21) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2409,c_2409,c_368]) ).

tff(c_2430,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_178,c_2427]) ).

tff(c_2452,plain,
    op2(e22,e22) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_2430,c_2430,c_380]) ).

tff(c_2459,plain,
    h(e10) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_2452]) ).

tff(c_2473,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_2459,c_200]) ).

tff(c_2478,plain,
    e12 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_2473,c_2392]) ).

tff(c_2480,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_18,c_2478]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG077+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % 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
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 20:27:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 8.14/2.94  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.14/2.95  
% 8.14/2.96  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.48/3.01  
% 8.48/3.01  Inference rules
% 8.48/3.01  ----------------------
% 8.48/3.01  #Ref     : 0
% 8.48/3.01  #Sup     : 576
% 8.48/3.01  #Fact    : 0
% 8.48/3.01  #Define  : 0
% 8.48/3.01  #Split   : 35
% 8.48/3.01  #Chain   : 0
% 8.48/3.01  #Close   : 0
% 8.48/3.01  
% 8.48/3.01  Ordering : KBO
% 8.48/3.01  
% 8.48/3.01  Simplification rules
% 8.48/3.01  ----------------------
% 8.48/3.01  #Subsume      : 42
% 8.48/3.01  #Demod        : 974
% 8.48/3.01  #Tautology    : 639
% 8.48/3.01  #SimpNegUnit  : 40
% 8.48/3.01  #BackRed      : 591
% 8.48/3.01  
% 8.48/3.01  #Partial instantiations: 0
% 8.48/3.01  #Strategies tried      : 1
% 8.48/3.01  
% 8.48/3.01  Timing (in seconds)
% 8.48/3.01  ----------------------
% 8.48/3.01  Preprocessing        : 0.65
% 8.48/3.01  Parsing              : 0.34
% 8.48/3.01  CNF conversion       : 0.03
% 8.48/3.01  Main loop            : 1.28
% 8.48/3.01  Inferencing          : 0.28
% 8.48/3.01  Reduction            : 0.55
% 8.48/3.01  Demodulation         : 0.39
% 8.48/3.01  BG Simplification    : 0.05
% 8.48/3.01  Subsumption          : 0.26
% 8.48/3.01  Abstraction          : 0.03
% 8.48/3.01  MUC search           : 0.00
% 8.48/3.01  Cooper               : 0.00
% 8.48/3.01  Total                : 2.01
% 8.48/3.01  Index Insertion      : 0.00
% 8.48/3.01  Index Deletion       : 0.00
% 8.48/3.01  Index Matching       : 0.00
% 8.48/3.01  BG Taut test         : 0.00
%------------------------------------------------------------------------------