TSTP Solution File: GEO567+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO567+1 : TPTP v8.1.2. Released v7.5.0.
% 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 10:39:17 EDT 2023

% Result   : Theorem 28.03s 13.57s
% Output   : CNFRefutation 28.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  114 (  26 unt;  37 typ;   0 def)
%            Number of atoms       :  143 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  109 (  43   ~;  40   |;   9   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  151 (  31   >; 120   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-8 aty)
%            Number of functors    :   26 (  26 usr;   6 con; 0-7 aty)
%            Number of variables   :  209 (; 209   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ eqratio > eqangle > simtri > contri > perp > para > cyclic > cong > circle > midp > coll > #nlpp > #skF_25 > #skF_10 > #skF_14 > #skF_13 > #skF_12 > #skF_5 > #skF_26 > #skF_15 > #skF_2 > #skF_19 > #skF_16 > #skF_8 > #skF_11 > #skF_21 > #skF_4 > #skF_22 > #skF_17 > #skF_9 > #skF_24 > #skF_23 > #skF_3 > #skF_20 > #skF_7 > #skF_6 > #skF_1 > #skF_18

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_25',type,
    '#skF_25': $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i * $i ) > $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_26',type,
    '#skF_26': $i ).

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

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

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i * $i * $i ) > $i ).

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': $i ).

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

tff('#skF_4',type,
    '#skF_4': ( $i * $i * $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': $i ).

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

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

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': $i ).

tff('#skF_23',type,
    '#skF_23': $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i * $i * $i ) > $i ).

tff(f_246,axiom,
    ! [A,B,C,D,P,Q] :
      ( para(A,B,C,D)
     => eqangle(A,B,P,Q,C,D,P,Q) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

tff(f_143,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(C,D,A,B,U,V,P,Q) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

tff(f_242,axiom,
    ! [A,B,C,D,P,Q] :
      ( eqangle(A,B,P,Q,C,D,P,Q)
     => para(A,B,C,D) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

tff(f_668,negated_conjecture,
    ~ ! [A,B,C,D,Q,P] :
        ( ( perp(D,A,B,C)
          & coll(D,B,C)
          & perp(Q,D,A,B)
          & coll(Q,A,B)
          & perp(P,D,A,C)
          & coll(P,A,C) )
       => cyclic(B,Q,P,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).

tff(f_65,axiom,
    ! [A,B,C,D] :
      ( ( coll(A,B,C)
        & coll(A,B,D) )
     => coll(C,D,A) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

tff(f_55,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(A,C,B) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

tff(f_83,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(A,B,D,C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

tff(f_87,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(C,D,A,B) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

tff(f_93,axiom,
    ! [A,B,C,D,E,F] :
      ( ( perp(A,B,C,D)
        & perp(C,D,E,F) )
     => para(A,B,E,F) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

tff(f_69,axiom,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
     => para(A,B,D,C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

tff(f_263,axiom,
    ! [A,B,P,Q] :
      ( ( eqangle(P,A,P,B,Q,A,Q,B)
        & coll(P,Q,B) )
     => cyclic(A,B,P,Q) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

tff(f_125,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,C,B,D) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

tff(f_250,axiom,
    ! [A,B,P,Q] :
      ( cyclic(A,B,P,Q)
     => eqangle(P,A,P,B,Q,A,Q,B) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

tff(f_415,axiom,
    ! [A,B,C] :
      ( para(A,B,A,C)
     => coll(A,B,C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

tff(f_59,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(B,A,C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

tff(f_121,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,B,D,C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

tff(f_135,axiom,
    ! [A,B,C,D,E] :
      ( ( cyclic(A,B,C,D)
        & cyclic(A,B,C,E) )
     => cyclic(B,C,D,E) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

tff(c_80,plain,
    ! [B_237,C_238,D_239,P_240,Q_241,A_236] :
      ( eqangle(A_236,B_237,P_240,Q_241,C_238,D_239,P_240,Q_241)
      | ~ para(A_236,B_237,C_238,D_239) ),
    inference(cnfTransformation,[status(thm)],[f_246]) ).

tff(c_8277,plain,
    ! [A_1056,P_1057,U_1055,V_1052,B_1053,Q_1054,D_1050,C_1051] :
      ( eqangle(C_1051,D_1050,A_1056,B_1053,U_1055,V_1052,P_1057,Q_1054)
      | ~ eqangle(A_1056,B_1053,C_1051,D_1050,P_1057,Q_1054,U_1055,V_1052) ),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_26257,plain,
    ! [P_1779,D_1780,B_1781,A_1777,Q_1778,C_1782] :
      ( eqangle(P_1779,Q_1778,A_1777,B_1781,P_1779,Q_1778,C_1782,D_1780)
      | ~ para(A_1777,B_1781,C_1782,D_1780) ),
    inference(resolution,[status(thm)],[c_80,c_8277]) ).

tff(c_78,plain,
    ! [A_230,Q_235,D_233,B_231,P_234,C_232] :
      ( para(A_230,B_231,C_232,D_233)
      | ~ eqangle(A_230,B_231,P_234,Q_235,C_232,D_233,P_234,Q_235) ),
    inference(cnfTransformation,[status(thm)],[f_242]) ).

tff(c_26351,plain,
    ! [P_1779,Q_1778,C_1782,D_1780] :
      ( para(P_1779,Q_1778,P_1779,Q_1778)
      | ~ para(C_1782,D_1780,C_1782,D_1780) ),
    inference(resolution,[status(thm)],[c_26257,c_78]) ).

tff(c_34287,plain,
    ! [C_1782,D_1780] : ~ para(C_1782,D_1780,C_1782,D_1780),
    inference(splitLeft,[status(thm)],[c_26351]) ).

tff(c_238,plain,
    coll('#skF_24','#skF_22','#skF_23'),
    inference(cnfTransformation,[status(thm)],[f_668]) ).

tff(c_611,plain,
    ! [C_598,D_599,A_600,B_601] :
      ( coll(C_598,D_599,A_600)
      | ~ coll(A_600,B_601,D_599)
      | ~ coll(A_600,B_601,C_598) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_737,plain,
    ! [C_610] :
      ( coll(C_610,'#skF_23','#skF_24')
      | ~ coll('#skF_24','#skF_22',C_610) ),
    inference(resolution,[status(thm)],[c_238,c_611]) ).

tff(c_740,plain,
    coll('#skF_23','#skF_23','#skF_24'),
    inference(resolution,[status(thm)],[c_238,c_737]) ).

tff(c_2,plain,
    ! [A_1,C_3,B_2] :
      ( coll(A_1,C_3,B_2)
      | ~ coll(A_1,B_2,C_3) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_750,plain,
    coll('#skF_23','#skF_24','#skF_23'),
    inference(resolution,[status(thm)],[c_740,c_2]) ).

tff(c_6,plain,
    ! [C_9,D_10,A_7,B_8] :
      ( coll(C_9,D_10,A_7)
      | ~ coll(A_7,B_8,D_10)
      | ~ coll(A_7,B_8,C_9) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_3398,plain,
    ! [C_767] :
      ( coll(C_767,'#skF_23','#skF_23')
      | ~ coll('#skF_23','#skF_24',C_767) ),
    inference(resolution,[status(thm)],[c_750,c_6]) ).

tff(c_3418,plain,
    coll('#skF_23','#skF_23','#skF_23'),
    inference(resolution,[status(thm)],[c_750,c_3398]) ).

tff(c_232,plain,
    perp('#skF_26','#skF_24','#skF_21','#skF_23'),
    inference(cnfTransformation,[status(thm)],[f_668]) ).

tff(c_384,plain,
    ! [A_548,B_549,D_550,C_551] :
      ( perp(A_548,B_549,D_550,C_551)
      | ~ perp(A_548,B_549,C_551,D_550) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_392,plain,
    perp('#skF_26','#skF_24','#skF_23','#skF_21'),
    inference(resolution,[status(thm)],[c_232,c_384]) ).

tff(c_408,plain,
    ! [C_560,D_561,A_562,B_563] :
      ( perp(C_560,D_561,A_562,B_563)
      | ~ perp(A_562,B_563,C_560,D_561) ),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_422,plain,
    perp('#skF_23','#skF_21','#skF_26','#skF_24'),
    inference(resolution,[status(thm)],[c_392,c_408]) ).

tff(c_2739,plain,
    ! [C_727,F_728,E_726,D_729,B_730,A_725] :
      ( para(A_725,B_730,E_726,F_728)
      | ~ perp(C_727,D_729,E_726,F_728)
      | ~ perp(A_725,B_730,C_727,D_729) ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_3209,plain,
    ! [A_755,B_756] :
      ( para(A_755,B_756,'#skF_21','#skF_23')
      | ~ perp(A_755,B_756,'#skF_26','#skF_24') ),
    inference(resolution,[status(thm)],[c_232,c_2739]) ).

tff(c_3221,plain,
    para('#skF_23','#skF_21','#skF_21','#skF_23'),
    inference(resolution,[status(thm)],[c_422,c_3209]) ).

tff(c_8,plain,
    ! [A_11,B_12,D_14,C_13] :
      ( para(A_11,B_12,D_14,C_13)
      | ~ para(A_11,B_12,C_13,D_14) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_3246,plain,
    para('#skF_23','#skF_21','#skF_23','#skF_21'),
    inference(resolution,[status(thm)],[c_3221,c_8]) ).

tff(c_5150,plain,
    ! [A_875,B_876,P_877,Q_878] :
      ( cyclic(A_875,B_876,P_877,Q_878)
      | ~ coll(P_877,Q_878,B_876)
      | ~ eqangle(P_877,A_875,P_877,B_876,Q_878,A_875,Q_878,B_876) ),
    inference(cnfTransformation,[status(thm)],[f_263]) ).

tff(c_23684,plain,
    ! [D_1675,Q_1676,P_1677] :
      ( cyclic(D_1675,Q_1676,P_1677,P_1677)
      | ~ coll(P_1677,P_1677,Q_1676)
      | ~ para(P_1677,D_1675,P_1677,D_1675) ),
    inference(resolution,[status(thm)],[c_80,c_5150]) ).

tff(c_24745,plain,
    ! [Q_1721] :
      ( cyclic('#skF_21',Q_1721,'#skF_23','#skF_23')
      | ~ coll('#skF_23','#skF_23',Q_1721) ),
    inference(resolution,[status(thm)],[c_3246,c_23684]) ).

tff(c_30,plain,
    ! [A_61,C_63,B_62,D_64] :
      ( cyclic(A_61,C_63,B_62,D_64)
      | ~ cyclic(A_61,B_62,C_63,D_64) ),
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_25797,plain,
    ! [Q_1762] :
      ( cyclic('#skF_21','#skF_23',Q_1762,'#skF_23')
      | ~ coll('#skF_23','#skF_23',Q_1762) ),
    inference(resolution,[status(thm)],[c_24745,c_30]) ).

tff(c_82,plain,
    ! [P_244,A_242,B_243,Q_245] :
      ( eqangle(P_244,A_242,P_244,B_243,Q_245,A_242,Q_245,B_243)
      | ~ cyclic(A_242,B_243,P_244,Q_245) ),
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_23567,plain,
    ! [P_1666,B_1667,A_1668,Q_1669] :
      ( eqangle(P_1666,B_1667,P_1666,A_1668,Q_1669,B_1667,Q_1669,A_1668)
      | ~ cyclic(A_1668,B_1667,P_1666,Q_1669) ),
    inference(resolution,[status(thm)],[c_82,c_8277]) ).

tff(c_23657,plain,
    ! [Q_1669,B_1667,A_1668] :
      ( para(Q_1669,B_1667,Q_1669,B_1667)
      | ~ cyclic(A_1668,B_1667,Q_1669,Q_1669) ),
    inference(resolution,[status(thm)],[c_23567,c_78]) ).

tff(c_25800,plain,
    ( para('#skF_23','#skF_23','#skF_23','#skF_23')
    | ~ coll('#skF_23','#skF_23','#skF_23') ),
    inference(resolution,[status(thm)],[c_25797,c_23657]) ).

tff(c_25816,plain,
    para('#skF_23','#skF_23','#skF_23','#skF_23'),
    inference(demodulation,[status(thm),theory(equality)],[c_3418,c_25800]) ).

tff(c_34325,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_34287,c_25816]) ).

tff(c_34369,plain,
    ! [P_2091,Q_2092] : para(P_2091,Q_2092,P_2091,Q_2092),
    inference(splitRight,[status(thm)],[c_26351]) ).

tff(c_134,plain,
    ! [A_365,B_366,C_367] :
      ( coll(A_365,B_366,C_367)
      | ~ para(A_365,B_366,A_365,C_367) ),
    inference(cnfTransformation,[status(thm)],[f_415]) ).

tff(c_34572,plain,
    ! [P_2093,Q_2094] : coll(P_2093,Q_2094,Q_2094),
    inference(resolution,[status(thm)],[c_34369,c_134]) ).

tff(c_4,plain,
    ! [B_5,A_4,C_6] :
      ( coll(B_5,A_4,C_6)
      | ~ coll(A_4,B_5,C_6) ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_35522,plain,
    ! [Q_2095,P_2096] : coll(Q_2095,P_2096,Q_2095),
    inference(resolution,[status(thm)],[c_34572,c_4]) ).

tff(c_36433,plain,
    ! [Q_2095,P_2096] : coll(Q_2095,Q_2095,P_2096),
    inference(resolution,[status(thm)],[c_35522,c_2]) ).

tff(c_240,plain,
    perp('#skF_24','#skF_21','#skF_22','#skF_23'),
    inference(cnfTransformation,[status(thm)],[f_668]) ).

tff(c_426,plain,
    perp('#skF_22','#skF_23','#skF_24','#skF_21'),
    inference(resolution,[status(thm)],[c_240,c_408]) ).

tff(c_3063,plain,
    ! [A_744,B_745] :
      ( para(A_744,B_745,'#skF_22','#skF_23')
      | ~ perp(A_744,B_745,'#skF_24','#skF_21') ),
    inference(resolution,[status(thm)],[c_240,c_2739]) ).

tff(c_3076,plain,
    para('#skF_22','#skF_23','#skF_22','#skF_23'),
    inference(resolution,[status(thm)],[c_426,c_3063]) ).

tff(c_23760,plain,
    ! [Q_1679] :
      ( cyclic('#skF_23',Q_1679,'#skF_22','#skF_22')
      | ~ coll('#skF_22','#skF_22',Q_1679) ),
    inference(resolution,[status(thm)],[c_3076,c_23684]) ).

tff(c_24088,plain,
    ! [Q_1694] :
      ( cyclic('#skF_23','#skF_22',Q_1694,'#skF_22')
      | ~ coll('#skF_22','#skF_22',Q_1694) ),
    inference(resolution,[status(thm)],[c_23760,c_30]) ).

tff(c_28,plain,
    ! [A_57,B_58,D_60,C_59] :
      ( cyclic(A_57,B_58,D_60,C_59)
      | ~ cyclic(A_57,B_58,C_59,D_60) ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_24115,plain,
    ! [Q_1694] :
      ( cyclic('#skF_23','#skF_22','#skF_22',Q_1694)
      | ~ coll('#skF_22','#skF_22',Q_1694) ),
    inference(resolution,[status(thm)],[c_24088,c_28]) ).

tff(c_36794,plain,
    ! [Q_1694] : cyclic('#skF_23','#skF_22','#skF_22',Q_1694),
    inference(demodulation,[status(thm),theory(equality)],[c_36433,c_24115]) ).

tff(c_40752,plain,
    ! [Q_2210] : cyclic('#skF_23','#skF_22','#skF_22',Q_2210),
    inference(demodulation,[status(thm),theory(equality)],[c_36433,c_24115]) ).

tff(c_34,plain,
    ! [B_70,E_73,D_72,C_71,A_69] :
      ( cyclic(B_70,C_71,D_72,E_73)
      | ~ cyclic(A_69,B_70,C_71,E_73)
      | ~ cyclic(A_69,B_70,C_71,D_72) ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_40756,plain,
    ! [D_72,Q_2210] :
      ( cyclic('#skF_22','#skF_22',D_72,Q_2210)
      | ~ cyclic('#skF_23','#skF_22','#skF_22',D_72) ),
    inference(resolution,[status(thm)],[c_40752,c_34]) ).

tff(c_40766,plain,
    ! [D_72,Q_2210] : cyclic('#skF_22','#skF_22',D_72,Q_2210),
    inference(demodulation,[status(thm),theory(equality)],[c_36794,c_40756]) ).

tff(c_40912,plain,
    ! [D_2219,Q_2220] : cyclic('#skF_22','#skF_22',D_2219,Q_2220),
    inference(demodulation,[status(thm),theory(equality)],[c_36794,c_40756]) ).

tff(c_40916,plain,
    ! [D_2219,D_72,Q_2220] :
      ( cyclic('#skF_22',D_2219,D_72,Q_2220)
      | ~ cyclic('#skF_22','#skF_22',D_2219,D_72) ),
    inference(resolution,[status(thm)],[c_40912,c_34]) ).

tff(c_40926,plain,
    ! [D_2219,D_72,Q_2220] : cyclic('#skF_22',D_2219,D_72,Q_2220),
    inference(demodulation,[status(thm),theory(equality)],[c_40766,c_40916]) ).

tff(c_228,plain,
    ~ cyclic('#skF_22','#skF_25','#skF_26','#skF_23'),
    inference(cnfTransformation,[status(thm)],[f_668]) ).

tff(c_42674,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_40926,c_228]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GEO567+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15  % 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
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug  4 00:42:54 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 28.03/13.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.03/13.58  
% 28.03/13.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.03/13.62  
% 28.03/13.62  Inference rules
% 28.03/13.62  ----------------------
% 28.03/13.62  #Ref     : 0
% 28.03/13.62  #Sup     : 9866
% 28.03/13.62  #Fact    : 0
% 28.03/13.62  #Define  : 0
% 28.03/13.62  #Split   : 61
% 28.03/13.62  #Chain   : 0
% 28.03/13.62  #Close   : 0
% 28.03/13.62  
% 28.03/13.62  Ordering : KBO
% 28.03/13.62  
% 28.03/13.62  Simplification rules
% 28.03/13.62  ----------------------
% 28.03/13.62  #Subsume      : 1856
% 28.03/13.62  #Demod        : 4892
% 28.03/13.62  #Tautology    : 4071
% 28.03/13.62  #SimpNegUnit  : 535
% 28.03/13.62  #BackRed      : 266
% 28.03/13.62  
% 28.03/13.62  #Partial instantiations: 0
% 28.03/13.62  #Strategies tried      : 1
% 28.03/13.62  
% 28.03/13.62  Timing (in seconds)
% 28.03/13.62  ----------------------
% 28.03/13.62  Preprocessing        : 0.72
% 28.03/13.62  Parsing              : 0.40
% 28.03/13.62  CNF conversion       : 0.07
% 28.03/13.62  Main loop            : 11.81
% 28.03/13.62  Inferencing          : 2.58
% 28.03/13.62  Reduction            : 4.82
% 28.03/13.62  Demodulation         : 3.48
% 28.03/13.62  BG Simplification    : 0.10
% 28.03/13.62  Subsumption          : 3.71
% 28.03/13.62  Abstraction          : 0.10
% 28.03/13.62  MUC search           : 0.00
% 28.03/13.62  Cooper               : 0.00
% 28.03/13.62  Total                : 12.60
% 28.03/13.62  Index Insertion      : 0.00
% 28.03/13.62  Index Deletion       : 0.00
% 28.03/13.62  Index Matching       : 0.00
% 28.03/13.62  BG Taut test         : 0.00
%------------------------------------------------------------------------------