TSTP Solution File: GEO621+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO621+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 : n007.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 10:39:21 EDT 2023

% Result   : Theorem 165.53s 146.58s
% Output   : CNFRefutation 165.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  111 (  19 unt;  40 typ;   0 def)
%            Number of atoms       :  141 (   0 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  114 (  44   ~;  41   |;  11   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    2 (   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    :   29 (  29 usr;   9 con; 0-7 aty)
%            Number of variables   :  243 (; 242   !;   1   ?;   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_29 > #skF_28 > #skF_9 > #skF_24 > #skF_27 > #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_29',type,
    '#skF_29': $i ).

tff('#skF_28',type,
    '#skF_28': $i ).

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

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

tff('#skF_27',type,
    '#skF_27': $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_672,negated_conjecture,
    ~ ! [A,B,C,D,E,F,G,H,I] :
        ( ( midp(D,B,A)
          & midp(E,C,B)
          & midp(F,A,C)
          & circle(G,D,E,F)
          & perp(E,G,E,H)
          & coll(H,A,B)
          & coll(I,E,H)
          & coll(I,A,C) )
       => cyclic(B,H,C,I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110984) ).

tff(f_577,axiom,
    ! [A,B,C,O] :
    ? [P] :
      ( circle(O,A,B,C)
     => perp(P,A,A,O) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

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_139,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(B,A,C,D,P,Q,U,V) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

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_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_103,axiom,
    ! [A,B,M] :
      ( midp(M,B,A)
     => midp(M,A,B) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

tff(f_395,axiom,
    ! [A,B,C,D,M] :
      ( ( midp(M,A,B)
        & midp(M,C,D) )
     => para(A,C,B,D) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

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_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_44015,plain,
    ! [V_2308,D_2306,C_2307,A_2312,U_2311,B_2309,Q_2310,P_2313] :
      ( eqangle(C_2307,D_2306,A_2312,B_2309,U_2311,V_2308,P_2313,Q_2310)
      | ~ eqangle(A_2312,B_2309,C_2307,D_2306,P_2313,Q_2310,U_2311,V_2308) ),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_56975,plain,
    ! [A_2941,C_2946,D_2944,Q_2942,B_2945,P_2943] :
      ( eqangle(P_2943,Q_2942,A_2941,B_2945,P_2943,Q_2942,C_2946,D_2944)
      | ~ para(A_2941,B_2945,C_2946,D_2944) ),
    inference(resolution,[status(thm)],[c_80,c_44015]) ).

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_57069,plain,
    ! [P_2943,Q_2942,C_2946,D_2944] :
      ( para(P_2943,Q_2942,P_2943,Q_2942)
      | ~ para(C_2946,D_2944,C_2946,D_2944) ),
    inference(resolution,[status(thm)],[c_56975,c_78]) ).

tff(c_218610,plain,
    ! [C_2946,D_2944] : ~ para(C_2946,D_2944,C_2946,D_2944),
    inference(splitLeft,[status(thm)],[c_57069]) ).

tff(c_238,plain,
    circle('#skF_27','#skF_24','#skF_25','#skF_26'),
    inference(cnfTransformation,[status(thm)],[f_672]) ).

tff(c_42021,plain,
    ! [O_2175,A_2176,B_2177,C_2178] :
      ( ~ circle(O_2175,A_2176,B_2177,C_2178)
      | perp('#skF_12'(A_2176,B_2177,C_2178,O_2175),A_2176,A_2176,O_2175) ),
    inference(cnfTransformation,[status(thm)],[f_577]) ).

tff(c_16,plain,
    ! [C_31,D_32,A_29,B_30] :
      ( perp(C_31,D_32,A_29,B_30)
      | ~ perp(A_29,B_30,C_31,D_32) ),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_42030,plain,
    ! [A_2176,O_2175,B_2177,C_2178] :
      ( perp(A_2176,O_2175,'#skF_12'(A_2176,B_2177,C_2178,O_2175),A_2176)
      | ~ circle(O_2175,A_2176,B_2177,C_2178) ),
    inference(resolution,[status(thm)],[c_42021,c_16]) ).

tff(c_200,plain,
    ! [O_479,A_476,B_477,C_478] :
      ( ~ circle(O_479,A_476,B_477,C_478)
      | perp('#skF_12'(A_476,B_477,C_478,O_479),A_476,A_476,O_479) ),
    inference(cnfTransformation,[status(thm)],[f_577]) ).

tff(c_42356,plain,
    ! [C_2191,B_2194,E_2190,A_2189,F_2192,D_2193] :
      ( para(A_2189,B_2194,E_2190,F_2192)
      | ~ perp(C_2191,D_2193,E_2190,F_2192)
      | ~ perp(A_2189,B_2194,C_2191,D_2193) ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_106453,plain,
    ! [B_4135,B_4139,A_4137,A_4136,O_4134,C_4138] :
      ( para(A_4136,B_4135,A_4137,O_4134)
      | ~ perp(A_4136,B_4135,'#skF_12'(A_4137,B_4139,C_4138,O_4134),A_4137)
      | ~ circle(O_4134,A_4137,B_4139,C_4138) ),
    inference(resolution,[status(thm)],[c_200,c_42356]) ).

tff(c_218100,plain,
    ! [A_6286,O_6287,B_6288,C_6289] :
      ( para(A_6286,O_6287,A_6286,O_6287)
      | ~ circle(O_6287,A_6286,B_6288,C_6289) ),
    inference(resolution,[status(thm)],[c_42030,c_106453]) ).

tff(c_218112,plain,
    para('#skF_24','#skF_27','#skF_24','#skF_27'),
    inference(resolution,[status(thm)],[c_238,c_218100]) ).

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_218167,plain,
    para('#skF_24','#skF_27','#skF_27','#skF_24'),
    inference(resolution,[status(thm)],[c_218112,c_8]) ).

tff(c_45530,plain,
    ! [C_2418,A_2419,Q_2416,B_2420,P_2413,V_2414,D_2415,U_2417] :
      ( eqangle(B_2420,A_2419,C_2418,D_2415,P_2413,Q_2416,U_2417,V_2414)
      | ~ eqangle(A_2419,B_2420,C_2418,D_2415,P_2413,Q_2416,U_2417,V_2414) ),
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_56506,plain,
    ! [Q_2923,C_2927,D_2925,B_2926,A_2922,P_2924] :
      ( eqangle(B_2926,A_2922,P_2924,Q_2923,C_2927,D_2925,P_2924,Q_2923)
      | ~ para(A_2922,B_2926,C_2927,D_2925) ),
    inference(resolution,[status(thm)],[c_80,c_45530]) ).

tff(c_56599,plain,
    ! [B_2926,A_2922,C_2927,D_2925] :
      ( para(B_2926,A_2922,C_2927,D_2925)
      | ~ para(A_2922,B_2926,C_2927,D_2925) ),
    inference(resolution,[status(thm)],[c_56506,c_78]) ).

tff(c_218230,plain,
    para('#skF_27','#skF_24','#skF_27','#skF_24'),
    inference(resolution,[status(thm)],[c_218167,c_56599]) ).

tff(c_218650,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_218610,c_218230]) ).

tff(c_218702,plain,
    ! [P_6294,Q_6295] : para(P_6294,Q_6295,P_6294,Q_6295),
    inference(splitRight,[status(thm)],[c_57069]) ).

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_219076,plain,
    ! [P_6296,Q_6297] : coll(P_6296,Q_6297,Q_6297),
    inference(resolution,[status(thm)],[c_218702,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_222459,plain,
    ! [Q_6298,P_6299] : coll(Q_6298,P_6299,Q_6298),
    inference(resolution,[status(thm)],[c_219076,c_4]) ).

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_225740,plain,
    ! [Q_6298,P_6299] : coll(Q_6298,Q_6298,P_6299),
    inference(resolution,[status(thm)],[c_222459,c_2]) ).

tff(c_242,plain,
    midp('#skF_25','#skF_23','#skF_22'),
    inference(cnfTransformation,[status(thm)],[f_672]) ).

tff(c_293,plain,
    ! [M_529,A_530,B_531] :
      ( midp(M_529,A_530,B_531)
      | ~ midp(M_529,B_531,A_530) ),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_301,plain,
    midp('#skF_25','#skF_22','#skF_23'),
    inference(resolution,[status(thm)],[c_242,c_293]) ).

tff(c_858,plain,
    ! [D_611,M_614,B_612,C_610,A_613] :
      ( para(A_613,C_610,B_612,D_611)
      | ~ midp(M_614,C_610,D_611)
      | ~ midp(M_614,A_613,B_612) ),
    inference(cnfTransformation,[status(thm)],[f_395]) ).

tff(c_1125,plain,
    ! [A_633,B_634] :
      ( para(A_633,'#skF_23',B_634,'#skF_22')
      | ~ midp('#skF_25',A_633,B_634) ),
    inference(resolution,[status(thm)],[c_242,c_858]) ).

tff(c_1135,plain,
    ! [A_633,B_634] :
      ( para(A_633,'#skF_23','#skF_22',B_634)
      | ~ midp('#skF_25',A_633,B_634) ),
    inference(resolution,[status(thm)],[c_1125,c_8]) ).

tff(c_44735,plain,
    ! [A_2363,B_2364,P_2365,Q_2366] :
      ( cyclic(A_2363,B_2364,P_2365,Q_2366)
      | ~ coll(P_2365,Q_2366,B_2364)
      | ~ eqangle(P_2365,A_2363,P_2365,B_2364,Q_2366,A_2363,Q_2366,B_2364) ),
    inference(cnfTransformation,[status(thm)],[f_263]) ).

tff(c_55606,plain,
    ! [D_2898,Q_2899,P_2900] :
      ( cyclic(D_2898,Q_2899,P_2900,P_2900)
      | ~ coll(P_2900,P_2900,Q_2899)
      | ~ para(P_2900,D_2898,P_2900,D_2898) ),
    inference(resolution,[status(thm)],[c_80,c_44735]) ).

tff(c_55650,plain,
    ! [Q_2899] :
      ( cyclic('#skF_23',Q_2899,'#skF_22','#skF_22')
      | ~ coll('#skF_22','#skF_22',Q_2899)
      | ~ midp('#skF_25','#skF_22','#skF_23') ),
    inference(resolution,[status(thm)],[c_1135,c_55606]) ).

tff(c_106672,plain,
    ! [Q_4143] :
      ( cyclic('#skF_23',Q_4143,'#skF_22','#skF_22')
      | ~ coll('#skF_22','#skF_22',Q_4143) ),
    inference(demodulation,[status(thm),theory(equality)],[c_301,c_55650]) ).

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_114938,plain,
    ! [Q_4356] :
      ( cyclic('#skF_23','#skF_22',Q_4356,'#skF_22')
      | ~ coll('#skF_22','#skF_22',Q_4356) ),
    inference(resolution,[status(thm)],[c_106672,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_114970,plain,
    ! [Q_4356] :
      ( cyclic('#skF_23','#skF_22','#skF_22',Q_4356)
      | ~ coll('#skF_22','#skF_22',Q_4356) ),
    inference(resolution,[status(thm)],[c_114938,c_28]) ).

tff(c_226121,plain,
    ! [Q_4356] : cyclic('#skF_23','#skF_22','#skF_22',Q_4356),
    inference(demodulation,[status(thm),theory(equality)],[c_225740,c_114970]) ).

tff(c_242486,plain,
    ! [Q_6463] : cyclic('#skF_23','#skF_22','#skF_22',Q_6463),
    inference(demodulation,[status(thm),theory(equality)],[c_225740,c_114970]) ).

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_242497,plain,
    ! [D_72,Q_6463] :
      ( cyclic('#skF_22','#skF_22',D_72,Q_6463)
      | ~ cyclic('#skF_23','#skF_22','#skF_22',D_72) ),
    inference(resolution,[status(thm)],[c_242486,c_34]) ).

tff(c_242514,plain,
    ! [D_72,Q_6463] : cyclic('#skF_22','#skF_22',D_72,Q_6463),
    inference(demodulation,[status(thm),theory(equality)],[c_226121,c_242497]) ).

tff(c_244261,plain,
    ! [D_6529,Q_6530] : cyclic('#skF_22','#skF_22',D_6529,Q_6530),
    inference(demodulation,[status(thm),theory(equality)],[c_226121,c_242497]) ).

tff(c_244267,plain,
    ! [D_6529,D_72,Q_6530] :
      ( cyclic('#skF_22',D_6529,D_72,Q_6530)
      | ~ cyclic('#skF_22','#skF_22',D_6529,D_72) ),
    inference(resolution,[status(thm)],[c_244261,c_34]) ).

tff(c_244280,plain,
    ! [D_6529,D_72,Q_6530] : cyclic('#skF_22',D_6529,D_72,Q_6530),
    inference(demodulation,[status(thm),theory(equality)],[c_242514,c_244267]) ).

tff(c_228,plain,
    ~ cyclic('#skF_22','#skF_28','#skF_23','#skF_29'),
    inference(cnfTransformation,[status(thm)],[f_672]) ).

tff(c_245327,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_244280,c_228]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO621+1 : TPTP v8.1.2. Released v7.5.0.
% 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
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug  4 00:23:39 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 165.53/146.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 165.53/146.59  
% 165.53/146.59  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 165.53/146.63  
% 165.53/146.63  Inference rules
% 165.53/146.63  ----------------------
% 165.53/146.63  #Ref     : 0
% 165.53/146.63  #Sup     : 59252
% 165.53/146.63  #Fact    : 0
% 165.53/146.63  #Define  : 0
% 165.53/146.63  #Split   : 110
% 165.53/146.63  #Chain   : 0
% 165.53/146.63  #Close   : 0
% 165.53/146.63  
% 165.53/146.63  Ordering : KBO
% 165.53/146.63  
% 165.53/146.63  Simplification rules
% 165.53/146.63  ----------------------
% 165.53/146.63  #Subsume      : 9366
% 165.53/146.63  #Demod        : 25454
% 165.53/146.63  #Tautology    : 20155
% 165.53/146.63  #SimpNegUnit  : 226
% 165.53/146.63  #BackRed      : 393
% 165.53/146.63  
% 165.53/146.63  #Partial instantiations: 0
% 165.53/146.63  #Strategies tried      : 1
% 165.53/146.63  
% 165.53/146.63  Timing (in seconds)
% 165.53/146.63  ----------------------
% 165.53/146.63  Preprocessing        : 0.77
% 165.53/146.63  Parsing              : 0.44
% 165.53/146.63  CNF conversion       : 0.07
% 165.53/146.63  Main loop            : 144.68
% 165.53/146.63  Inferencing          : 23.62
% 165.53/146.63  Reduction            : 65.61
% 165.53/146.63  Demodulation         : 54.37
% 165.53/146.63  BG Simplification    : 0.33
% 165.53/146.63  Subsumption          : 48.05
% 165.53/146.63  Abstraction          : 0.55
% 165.53/146.63  MUC search           : 0.00
% 165.53/146.63  Cooper               : 0.00
% 165.53/146.63  Total                : 145.52
% 165.53/146.63  Index Insertion      : 0.00
% 165.53/146.64  Index Deletion       : 0.00
% 165.53/146.64  Index Matching       : 0.00
% 165.53/146.64  BG Taut test         : 0.00
%------------------------------------------------------------------------------