TSTP Solution File: MGT005-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT005-2 : TPTP v8.1.2. Released v2.4.0.
% 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 : n008.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 10:49:28 EDT 2023
% Result : Unsatisfiable 28.79s 17.21s
% Output : CNFRefutation 29.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 57
% Syntax : Number of formulae : 168 ( 73 unt; 27 typ; 0 def)
% Number of atoms : 538 ( 12 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 801 ( 404 ~; 397 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 12 >; 36 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-8 aty)
% Number of variables : 243 (; 243 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ survival_chance > reorganization_type > reorganization_free > reorganization > complexity > class > organization > greater > sk4 > sk3 > sk2 > sk1 > #nlpp > sk9 > sk8 > sk7 > sk6 > sk5 > sk17 > sk16 > sk15 > sk14 > sk13 > sk12 > sk11 > sk10 > p2 > p1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(reorganization_free,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(sk17,type,
sk17: $i ).
tff(sk16,type,
sk16: $i ).
tff(sk9,type,
sk9: $i ).
tff(complexity,type,
complexity: ( $i * $i * $i ) > $o ).
tff(p1,type,
p1: $i ).
tff(sk12,type,
sk12: $i ).
tff(reorganization,type,
reorganization: ( $i * $i * $i ) > $o ).
tff(sk6,type,
sk6: $i ).
tff(survival_chance,type,
survival_chance: ( $i * $i * $i ) > $o ).
tff(reorganization_type,type,
reorganization_type: ( $i * $i * $i ) > $o ).
tff(sk8,type,
sk8: $i ).
tff(sk5,type,
sk5: $i ).
tff(sk4,type,
sk4: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(sk2,type,
sk2: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(sk14,type,
sk14: $i ).
tff(class,type,
class: ( $i * $i * $i ) > $o ).
tff(organization,type,
organization: ( $i * $i ) > $o ).
tff(sk10,type,
sk10: $i ).
tff(sk15,type,
sk15: $i ).
tff(sk3,type,
sk3: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(sk7,type,
sk7: $i ).
tff(sk11,type,
sk11: $i ).
tff(sk13,type,
sk13: $i ).
tff(sk1,type,
sk1: ( $i * $i ) > $i ).
tff(p2,type,
p2: $i ).
tff(f_339,axiom,
survival_chance(sk5,sk9,sk15),
file(unknown,unknown) ).
tff(f_340,axiom,
survival_chance(sk6,sk9,sk15),
file(unknown,unknown) ).
tff(f_337,axiom,
class(sk5,sk8,sk15),
file(unknown,unknown) ).
tff(f_338,axiom,
class(sk6,sk8,sk15),
file(unknown,unknown) ).
tff(f_333,axiom,
organization(sk5,sk15),
file(unknown,unknown) ).
tff(f_334,axiom,
organization(sk6,sk15),
file(unknown,unknown) ).
tff(f_355,axiom,
sk14 = sk16,
file(unknown,unknown) ).
tff(f_341,axiom,
reorganization(sk5,sk15,sk16),
file(unknown,unknown) ).
tff(f_343,axiom,
reorganization_type(sk5,sk7,sk15),
file(unknown,unknown) ).
tff(f_348,axiom,
complexity(sk5,sk12,sk15),
file(unknown,unknown) ).
tff(f_349,axiom,
complexity(sk6,sk13,sk15),
file(unknown,unknown) ).
tff(f_344,axiom,
reorganization_type(sk6,sk7,sk15),
file(unknown,unknown) ).
tff(f_357,axiom,
~ greater(sk10,sk11),
file(unknown,unknown) ).
tff(f_359,axiom,
sk10 != sk11,
file(unknown,unknown) ).
tff(f_80,axiom,
! [A,B,C] :
( ~ reorganization(A,B,C)
| greater(C,B) ),
file(unknown,unknown) ).
tff(f_346,axiom,
survival_chance(sk5,sk10,sk14),
file(unknown,unknown) ).
tff(f_100,axiom,
! [A,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ survival_chance(A,D,B)
| ~ survival_chance(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file(unknown,unknown) ).
tff(f_335,axiom,
organization(sk5,sk17),
file(unknown,unknown) ).
tff(f_30,axiom,
! [A,B] :
( ~ greater(A,B)
| ( A != B ) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [A,B] :
( ~ organization(A,B)
| survival_chance(A,sk1(B,A),B) ),
file(unknown,unknown) ).
tff(f_342,axiom,
reorganization(sk6,sk15,sk17),
file(unknown,unknown) ).
tff(f_124,axiom,
! [A,F,G,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization(A,D,E)
| ~ survival_chance(A,F,B)
| ~ survival_chance(A,G,C)
| greater(D,B)
| ~ greater(C,B)
| greater(C,E)
| greater(F,G) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [A,B,C,D] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ greater(D,B)
| ~ greater(C,D)
| organization(A,D) ),
file(unknown,unknown) ).
tff(f_336,axiom,
organization(sk6,sk17),
file(unknown,unknown) ).
tff(f_350,axiom,
greater(sk13,sk12),
file(unknown,unknown) ).
tff(f_162,axiom,
! [H,A,I,F,G,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ complexity(A,H,B)
| ~ complexity(C,I,B)
| ~ greater(I,H)
| greater(D,F) ),
file(unknown,unknown) ).
tff(f_347,axiom,
survival_chance(sk6,sk11,sk14),
file(unknown,unknown) ).
tff(f_345,axiom,
reorganization_free(sk5,sk16,sk17),
file(unknown,unknown) ).
tff(f_44,axiom,
! [A,B,C] :
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file(unknown,unknown) ).
tff(f_217,axiom,
! [H,A,J,I,F,G,B,C,K,E,L,D] :
( ~ organization(A,B)
| ~ organization(C,B)
| ~ organization(A,D)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ survival_chance(A,F,B)
| ~ survival_chance(C,F,B)
| ~ reorganization(A,B,D)
| ~ reorganization(C,B,G)
| ~ reorganization_type(A,H,B)
| ~ reorganization_type(C,H,B)
| ~ survival_chance(A,I,D)
| ~ survival_chance(C,J,D)
| ~ complexity(A,K,B)
| ~ complexity(C,L,B)
| ~ greater(L,K)
| greater(I,J)
| ( I = J ) ),
file(unknown,unknown) ).
tff(c_46,plain,
survival_chance(sk5,sk9,sk15),
inference(cnfTransformation,[status(thm)],[f_339]) ).
tff(c_48,plain,
survival_chance(sk6,sk9,sk15),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_42,plain,
class(sk5,sk8,sk15),
inference(cnfTransformation,[status(thm)],[f_337]) ).
tff(c_44,plain,
class(sk6,sk8,sk15),
inference(cnfTransformation,[status(thm)],[f_338]) ).
tff(c_34,plain,
organization(sk5,sk15),
inference(cnfTransformation,[status(thm)],[f_333]) ).
tff(c_36,plain,
organization(sk6,sk15),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_72,plain,
sk16 = sk14,
inference(cnfTransformation,[status(thm)],[f_355]) ).
tff(c_50,plain,
reorganization(sk5,sk15,sk16),
inference(cnfTransformation,[status(thm)],[f_341]) ).
tff(c_79,plain,
reorganization(sk5,sk15,sk14),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_50]) ).
tff(c_54,plain,
reorganization_type(sk5,sk7,sk15),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_64,plain,
complexity(sk5,sk12,sk15),
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_66,plain,
complexity(sk6,sk13,sk15),
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_56,plain,
reorganization_type(sk6,sk7,sk15),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_74,plain,
~ greater(sk10,sk11),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_76,plain,
sk11 != sk10,
inference(cnfTransformation,[status(thm)],[f_359]) ).
tff(c_89,plain,
! [C_98,B_99,A_100] :
( greater(C_98,B_99)
| ~ reorganization(A_100,B_99,C_98) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_97,plain,
greater(sk14,sk15),
inference(resolution,[status(thm)],[c_79,c_89]) ).
tff(c_60,plain,
survival_chance(sk5,sk10,sk14),
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_199,plain,
! [B_126,A_122,E_125,D_124,C_123] :
( greater(E_125,D_124)
| ~ greater(C_123,B_126)
| ~ survival_chance(A_122,E_125,C_123)
| ~ survival_chance(A_122,D_124,B_126)
| ~ reorganization_free(A_122,B_126,C_123)
| ~ organization(A_122,C_123)
| ~ organization(A_122,B_126) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_217,plain,
! [D_124,B_126] :
( greater(sk10,D_124)
| ~ greater(sk14,B_126)
| ~ survival_chance(sk5,D_124,B_126)
| ~ reorganization_free(sk5,B_126,sk14)
| ~ organization(sk5,sk14)
| ~ organization(sk5,B_126) ),
inference(resolution,[status(thm)],[c_60,c_199]) ).
tff(c_543,plain,
~ organization(sk5,sk14),
inference(splitLeft,[status(thm)],[c_217]) ).
tff(c_38,plain,
organization(sk5,sk17),
inference(cnfTransformation,[status(thm)],[f_335]) ).
tff(c_2,plain,
! [B_2] : ~ greater(B_2,B_2),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_10,plain,
! [A_13,B_14] :
( survival_chance(A_13,sk1(B_14,A_13),B_14)
| ~ organization(A_13,B_14) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_52,plain,
reorganization(sk6,sk15,sk17),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_96,plain,
greater(sk17,sk15),
inference(resolution,[status(thm)],[c_52,c_89]) ).
tff(c_247,plain,
! [G_136,F_135,A_141,E_137,B_138,C_139,D_140] :
( greater(F_135,G_136)
| greater(C_139,E_137)
| ~ greater(C_139,B_138)
| greater(D_140,B_138)
| ~ survival_chance(A_141,G_136,C_139)
| ~ survival_chance(A_141,F_135,B_138)
| ~ reorganization(A_141,D_140,E_137)
| ~ organization(A_141,C_139)
| ~ organization(A_141,B_138) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_1102,plain,
! [D_328,G_327,A_329,F_330,E_326] :
( greater(F_330,G_327)
| greater(sk17,E_326)
| greater(D_328,sk15)
| ~ survival_chance(A_329,G_327,sk17)
| ~ survival_chance(A_329,F_330,sk15)
| ~ reorganization(A_329,D_328,E_326)
| ~ organization(A_329,sk17)
| ~ organization(A_329,sk15) ),
inference(resolution,[status(thm)],[c_96,c_247]) ).
tff(c_1107,plain,
! [F_331,A_332,E_333,D_334] :
( greater(F_331,sk1(sk17,A_332))
| greater(sk17,E_333)
| greater(D_334,sk15)
| ~ survival_chance(A_332,F_331,sk15)
| ~ reorganization(A_332,D_334,E_333)
| ~ organization(A_332,sk15)
| ~ organization(A_332,sk17) ),
inference(resolution,[status(thm)],[c_10,c_1102]) ).
tff(c_1111,plain,
! [F_331] :
( greater(F_331,sk1(sk17,sk5))
| greater(sk17,sk14)
| greater(sk15,sk15)
| ~ survival_chance(sk5,F_331,sk15)
| ~ organization(sk5,sk15)
| ~ organization(sk5,sk17) ),
inference(resolution,[status(thm)],[c_79,c_1107]) ).
tff(c_1118,plain,
! [F_331] :
( greater(F_331,sk1(sk17,sk5))
| greater(sk17,sk14)
| greater(sk15,sk15)
| ~ survival_chance(sk5,F_331,sk15) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34,c_1111]) ).
tff(c_1119,plain,
! [F_331] :
( greater(F_331,sk1(sk17,sk5))
| greater(sk17,sk14)
| ~ survival_chance(sk5,F_331,sk15) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_1118]) ).
tff(c_1259,plain,
greater(sk17,sk14),
inference(splitLeft,[status(thm)],[c_1119]) ).
tff(c_12,plain,
! [A_15,D_18,C_17,B_16] :
( organization(A_15,D_18)
| ~ greater(C_17,D_18)
| ~ greater(D_18,B_16)
| ~ organization(A_15,C_17)
| ~ organization(A_15,B_16) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_1433,plain,
! [A_358,B_359] :
( organization(A_358,sk14)
| ~ greater(sk14,B_359)
| ~ organization(A_358,sk17)
| ~ organization(A_358,B_359) ),
inference(resolution,[status(thm)],[c_1259,c_12]) ).
tff(c_1435,plain,
! [B_359] :
( organization(sk5,sk14)
| ~ greater(sk14,B_359)
| ~ organization(sk5,B_359) ),
inference(resolution,[status(thm)],[c_38,c_1433]) ).
tff(c_1444,plain,
! [B_360] :
( ~ greater(sk14,B_360)
| ~ organization(sk5,B_360) ),
inference(negUnitSimplification,[status(thm)],[c_543,c_1435]) ).
tff(c_1450,plain,
~ greater(sk14,sk15),
inference(resolution,[status(thm)],[c_34,c_1444]) ).
tff(c_1455,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_1450]) ).
tff(c_1457,plain,
~ greater(sk17,sk14),
inference(splitRight,[status(thm)],[c_1119]) ).
tff(c_40,plain,
organization(sk6,sk17),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_68,plain,
greater(sk13,sk12),
inference(cnfTransformation,[status(thm)],[f_350]) ).
tff(c_594,plain,
! [B_208,A_206,G_214,H_209,F_207,I_211,E_210,C_212,D_213] :
( greater(D_213,F_207)
| ~ greater(I_211,H_209)
| ~ complexity(C_212,I_211,B_208)
| ~ complexity(A_206,H_209,B_208)
| ~ reorganization_type(C_212,G_214,B_208)
| ~ reorganization_type(A_206,G_214,B_208)
| ~ reorganization(C_212,B_208,D_213)
| ~ reorganization(A_206,B_208,F_207)
| ~ class(C_212,E_210,B_208)
| ~ class(A_206,E_210,B_208)
| ~ organization(C_212,D_213)
| ~ organization(C_212,B_208)
| ~ organization(A_206,B_208) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_1884,plain,
! [B_397,A_394,F_395,D_393,G_396,C_392,E_391] :
( greater(D_393,F_395)
| ~ complexity(C_392,sk13,B_397)
| ~ complexity(A_394,sk12,B_397)
| ~ reorganization_type(C_392,G_396,B_397)
| ~ reorganization_type(A_394,G_396,B_397)
| ~ reorganization(C_392,B_397,D_393)
| ~ reorganization(A_394,B_397,F_395)
| ~ class(C_392,E_391,B_397)
| ~ class(A_394,E_391,B_397)
| ~ organization(C_392,D_393)
| ~ organization(C_392,B_397)
| ~ organization(A_394,B_397) ),
inference(resolution,[status(thm)],[c_68,c_594]) ).
tff(c_1888,plain,
! [D_393,F_395,A_394,E_391] :
( greater(D_393,F_395)
| ~ complexity(sk6,sk13,sk15)
| ~ complexity(A_394,sk12,sk15)
| ~ reorganization_type(A_394,sk7,sk15)
| ~ reorganization(sk6,sk15,D_393)
| ~ reorganization(A_394,sk15,F_395)
| ~ class(sk6,E_391,sk15)
| ~ class(A_394,E_391,sk15)
| ~ organization(sk6,D_393)
| ~ organization(sk6,sk15)
| ~ organization(A_394,sk15) ),
inference(resolution,[status(thm)],[c_56,c_1884]) ).
tff(c_5615,plain,
! [D_798,F_799,A_800,E_801] :
( greater(D_798,F_799)
| ~ complexity(A_800,sk12,sk15)
| ~ reorganization_type(A_800,sk7,sk15)
| ~ reorganization(sk6,sk15,D_798)
| ~ reorganization(A_800,sk15,F_799)
| ~ class(sk6,E_801,sk15)
| ~ class(A_800,E_801,sk15)
| ~ organization(sk6,D_798)
| ~ organization(A_800,sk15) ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_66,c_1888]) ).
tff(c_5617,plain,
! [D_798,F_799,E_801] :
( greater(D_798,F_799)
| ~ complexity(sk5,sk12,sk15)
| ~ reorganization(sk6,sk15,D_798)
| ~ reorganization(sk5,sk15,F_799)
| ~ class(sk6,E_801,sk15)
| ~ class(sk5,E_801,sk15)
| ~ organization(sk6,D_798)
| ~ organization(sk5,sk15) ),
inference(resolution,[status(thm)],[c_54,c_5615]) ).
tff(c_5622,plain,
! [D_798,F_799,E_801] :
( greater(D_798,F_799)
| ~ reorganization(sk6,sk15,D_798)
| ~ reorganization(sk5,sk15,F_799)
| ~ class(sk6,E_801,sk15)
| ~ class(sk5,E_801,sk15)
| ~ organization(sk6,D_798) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_64,c_5617]) ).
tff(c_5627,plain,
! [E_802] :
( ~ class(sk6,E_802,sk15)
| ~ class(sk5,E_802,sk15) ),
inference(splitLeft,[status(thm)],[c_5622]) ).
tff(c_5630,plain,
~ class(sk5,sk8,sk15),
inference(resolution,[status(thm)],[c_44,c_5627]) ).
tff(c_5634,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_5630]) ).
tff(c_5636,plain,
! [D_803,F_804] :
( greater(D_803,F_804)
| ~ reorganization(sk6,sk15,D_803)
| ~ reorganization(sk5,sk15,F_804)
| ~ organization(sk6,D_803) ),
inference(splitRight,[status(thm)],[c_5622]) ).
tff(c_5638,plain,
! [F_804] :
( greater(sk17,F_804)
| ~ reorganization(sk5,sk15,F_804)
| ~ organization(sk6,sk17) ),
inference(resolution,[status(thm)],[c_52,c_5636]) ).
tff(c_5702,plain,
! [F_812] :
( greater(sk17,F_812)
| ~ reorganization(sk5,sk15,F_812) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_5638]) ).
tff(c_5705,plain,
greater(sk17,sk14),
inference(resolution,[status(thm)],[c_79,c_5702]) ).
tff(c_5709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1457,c_5705]) ).
tff(c_5711,plain,
organization(sk5,sk14),
inference(splitRight,[status(thm)],[c_217]) ).
tff(c_62,plain,
survival_chance(sk6,sk11,sk14),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_218,plain,
! [D_124,B_126] :
( greater(sk11,D_124)
| ~ greater(sk14,B_126)
| ~ survival_chance(sk6,D_124,B_126)
| ~ reorganization_free(sk6,B_126,sk14)
| ~ organization(sk6,sk14)
| ~ organization(sk6,B_126) ),
inference(resolution,[status(thm)],[c_62,c_199]) ).
tff(c_5891,plain,
~ organization(sk6,sk14),
inference(splitLeft,[status(thm)],[c_218]) ).
tff(c_58,plain,
reorganization_free(sk5,sk16,sk17),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_78,plain,
reorganization_free(sk5,sk14,sk17),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_58]) ).
tff(c_5975,plain,
! [B_854,A_855,D_856,B_857] :
( greater(sk1(B_854,A_855),D_856)
| ~ greater(B_854,B_857)
| ~ survival_chance(A_855,D_856,B_857)
| ~ reorganization_free(A_855,B_857,B_854)
| ~ organization(A_855,B_857)
| ~ organization(A_855,B_854) ),
inference(resolution,[status(thm)],[c_10,c_199]) ).
tff(c_6226,plain,
! [B_875,A_876,B_877] :
( greater(sk1(B_875,A_876),sk1(B_877,A_876))
| ~ greater(B_875,B_877)
| ~ reorganization_free(A_876,B_877,B_875)
| ~ organization(A_876,B_875)
| ~ organization(A_876,B_877) ),
inference(resolution,[status(thm)],[c_10,c_5975]) ).
tff(c_5987,plain,
! [B_854] :
( greater(sk1(B_854,sk5),sk10)
| ~ greater(B_854,sk14)
| ~ reorganization_free(sk5,sk14,B_854)
| ~ organization(sk5,sk14)
| ~ organization(sk5,B_854) ),
inference(resolution,[status(thm)],[c_60,c_5975]) ).
tff(c_6094,plain,
! [B_861] :
( greater(sk1(B_861,sk5),sk10)
| ~ greater(B_861,sk14)
| ~ reorganization_free(sk5,sk14,B_861)
| ~ organization(sk5,B_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_5711,c_5987]) ).
tff(c_6,plain,
! [A_5,C_7,B_6] :
( greater(A_5,C_7)
| ~ greater(B_6,C_7)
| ~ greater(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_6132,plain,
! [A_5,B_861] :
( greater(A_5,sk10)
| ~ greater(A_5,sk1(B_861,sk5))
| ~ greater(B_861,sk14)
| ~ reorganization_free(sk5,sk14,B_861)
| ~ organization(sk5,B_861) ),
inference(resolution,[status(thm)],[c_6094,c_6]) ).
tff(c_6630,plain,
! [B_962,B_963] :
( greater(sk1(B_962,sk5),sk10)
| ~ greater(B_963,sk14)
| ~ reorganization_free(sk5,sk14,B_963)
| ~ greater(B_962,B_963)
| ~ reorganization_free(sk5,B_963,B_962)
| ~ organization(sk5,B_962)
| ~ organization(sk5,B_963) ),
inference(resolution,[status(thm)],[c_6226,c_6132]) ).
tff(c_6632,plain,
! [B_962] :
( greater(sk1(B_962,sk5),sk10)
| ~ greater(sk17,sk14)
| ~ greater(B_962,sk17)
| ~ reorganization_free(sk5,sk17,B_962)
| ~ organization(sk5,B_962)
| ~ organization(sk5,sk17) ),
inference(resolution,[status(thm)],[c_78,c_6630]) ).
tff(c_6635,plain,
! [B_962] :
( greater(sk1(B_962,sk5),sk10)
| ~ greater(sk17,sk14)
| ~ greater(B_962,sk17)
| ~ reorganization_free(sk5,sk17,B_962)
| ~ organization(sk5,B_962) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_6632]) ).
tff(c_6636,plain,
~ greater(sk17,sk14),
inference(splitLeft,[status(thm)],[c_6635]) ).
tff(c_5823,plain,
! [C_833,H_830,A_827,B_829,F_828,G_835,I_832,D_834,E_831] :
( greater(D_834,F_828)
| ~ greater(I_832,H_830)
| ~ complexity(C_833,I_832,B_829)
| ~ complexity(A_827,H_830,B_829)
| ~ reorganization_type(C_833,G_835,B_829)
| ~ reorganization_type(A_827,G_835,B_829)
| ~ reorganization(C_833,B_829,D_834)
| ~ reorganization(A_827,B_829,F_828)
| ~ class(C_833,E_831,B_829)
| ~ class(A_827,E_831,B_829)
| ~ organization(C_833,D_834)
| ~ organization(C_833,B_829)
| ~ organization(A_827,B_829) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_7087,plain,
! [G_1018,B_1017,F_1013,A_1016,D_1014,E_1012,C_1015] :
( greater(D_1014,F_1013)
| ~ complexity(C_1015,sk13,B_1017)
| ~ complexity(A_1016,sk12,B_1017)
| ~ reorganization_type(C_1015,G_1018,B_1017)
| ~ reorganization_type(A_1016,G_1018,B_1017)
| ~ reorganization(C_1015,B_1017,D_1014)
| ~ reorganization(A_1016,B_1017,F_1013)
| ~ class(C_1015,E_1012,B_1017)
| ~ class(A_1016,E_1012,B_1017)
| ~ organization(C_1015,D_1014)
| ~ organization(C_1015,B_1017)
| ~ organization(A_1016,B_1017) ),
inference(resolution,[status(thm)],[c_68,c_5823]) ).
tff(c_7091,plain,
! [D_1014,F_1013,A_1016,E_1012] :
( greater(D_1014,F_1013)
| ~ complexity(sk6,sk13,sk15)
| ~ complexity(A_1016,sk12,sk15)
| ~ reorganization_type(A_1016,sk7,sk15)
| ~ reorganization(sk6,sk15,D_1014)
| ~ reorganization(A_1016,sk15,F_1013)
| ~ class(sk6,E_1012,sk15)
| ~ class(A_1016,E_1012,sk15)
| ~ organization(sk6,D_1014)
| ~ organization(sk6,sk15)
| ~ organization(A_1016,sk15) ),
inference(resolution,[status(thm)],[c_56,c_7087]) ).
tff(c_10864,plain,
! [D_1307,F_1308,A_1309,E_1310] :
( greater(D_1307,F_1308)
| ~ complexity(A_1309,sk12,sk15)
| ~ reorganization_type(A_1309,sk7,sk15)
| ~ reorganization(sk6,sk15,D_1307)
| ~ reorganization(A_1309,sk15,F_1308)
| ~ class(sk6,E_1310,sk15)
| ~ class(A_1309,E_1310,sk15)
| ~ organization(sk6,D_1307)
| ~ organization(A_1309,sk15) ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_66,c_7091]) ).
tff(c_10866,plain,
! [D_1307,F_1308,E_1310] :
( greater(D_1307,F_1308)
| ~ complexity(sk5,sk12,sk15)
| ~ reorganization(sk6,sk15,D_1307)
| ~ reorganization(sk5,sk15,F_1308)
| ~ class(sk6,E_1310,sk15)
| ~ class(sk5,E_1310,sk15)
| ~ organization(sk6,D_1307)
| ~ organization(sk5,sk15) ),
inference(resolution,[status(thm)],[c_54,c_10864]) ).
tff(c_10871,plain,
! [D_1307,F_1308,E_1310] :
( greater(D_1307,F_1308)
| ~ reorganization(sk6,sk15,D_1307)
| ~ reorganization(sk5,sk15,F_1308)
| ~ class(sk6,E_1310,sk15)
| ~ class(sk5,E_1310,sk15)
| ~ organization(sk6,D_1307) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_64,c_10866]) ).
tff(c_10876,plain,
! [E_1311] :
( ~ class(sk6,E_1311,sk15)
| ~ class(sk5,E_1311,sk15) ),
inference(splitLeft,[status(thm)],[c_10871]) ).
tff(c_10879,plain,
~ class(sk5,sk8,sk15),
inference(resolution,[status(thm)],[c_44,c_10876]) ).
tff(c_10883,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_10879]) ).
tff(c_10885,plain,
! [D_1312,F_1313] :
( greater(D_1312,F_1313)
| ~ reorganization(sk6,sk15,D_1312)
| ~ reorganization(sk5,sk15,F_1313)
| ~ organization(sk6,D_1312) ),
inference(splitRight,[status(thm)],[c_10871]) ).
tff(c_10887,plain,
! [F_1313] :
( greater(sk17,F_1313)
| ~ reorganization(sk5,sk15,F_1313)
| ~ organization(sk6,sk17) ),
inference(resolution,[status(thm)],[c_52,c_10885]) ).
tff(c_10896,plain,
! [F_1319] :
( greater(sk17,F_1319)
| ~ reorganization(sk5,sk15,F_1319) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_10887]) ).
tff(c_10899,plain,
greater(sk17,sk14),
inference(resolution,[status(thm)],[c_79,c_10896]) ).
tff(c_10903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6636,c_10899]) ).
tff(c_10905,plain,
greater(sk17,sk14),
inference(splitRight,[status(thm)],[c_6635]) ).
tff(c_10946,plain,
! [A_1321,B_1322] :
( organization(A_1321,sk14)
| ~ greater(sk14,B_1322)
| ~ organization(A_1321,sk17)
| ~ organization(A_1321,B_1322) ),
inference(resolution,[status(thm)],[c_10905,c_12]) ).
tff(c_10950,plain,
! [B_1322] :
( organization(sk6,sk14)
| ~ greater(sk14,B_1322)
| ~ organization(sk6,B_1322) ),
inference(resolution,[status(thm)],[c_40,c_10946]) ).
tff(c_10978,plain,
! [B_1329] :
( ~ greater(sk14,B_1329)
| ~ organization(sk6,B_1329) ),
inference(negUnitSimplification,[status(thm)],[c_5891,c_10950]) ).
tff(c_10981,plain,
~ greater(sk14,sk15),
inference(resolution,[status(thm)],[c_36,c_10978]) ).
tff(c_10988,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97,c_10981]) ).
tff(c_10990,plain,
organization(sk6,sk14),
inference(splitRight,[status(thm)],[c_218]) ).
tff(c_11029,plain,
! [A_1342,B_1336,I_1334,G_1339,E_1338,D_1340,C_1337,H_1333,F_1343,K_1335,J_1332,L_1341] :
( ( J_1332 = I_1334 )
| greater(I_1334,J_1332)
| ~ greater(L_1341,K_1335)
| ~ complexity(C_1337,L_1341,B_1336)
| ~ complexity(A_1342,K_1335,B_1336)
| ~ survival_chance(C_1337,J_1332,D_1340)
| ~ survival_chance(A_1342,I_1334,D_1340)
| ~ reorganization_type(C_1337,H_1333,B_1336)
| ~ reorganization_type(A_1342,H_1333,B_1336)
| ~ reorganization(C_1337,B_1336,G_1339)
| ~ reorganization(A_1342,B_1336,D_1340)
| ~ survival_chance(C_1337,F_1343,B_1336)
| ~ survival_chance(A_1342,F_1343,B_1336)
| ~ class(C_1337,E_1338,B_1336)
| ~ class(A_1342,E_1338,B_1336)
| ~ organization(C_1337,D_1340)
| ~ organization(A_1342,D_1340)
| ~ organization(C_1337,B_1336)
| ~ organization(A_1342,B_1336) ),
inference(cnfTransformation,[status(thm)],[f_217]) ).
tff(c_23534,plain,
! [D_2379,G_2377,B_2374,F_2370,E_2375,C_2378,J_2372,H_2371,A_2376,I_2373] :
( ( J_2372 = I_2373 )
| greater(I_2373,J_2372)
| ~ complexity(C_2378,sk13,B_2374)
| ~ complexity(A_2376,sk12,B_2374)
| ~ survival_chance(C_2378,J_2372,D_2379)
| ~ survival_chance(A_2376,I_2373,D_2379)
| ~ reorganization_type(C_2378,H_2371,B_2374)
| ~ reorganization_type(A_2376,H_2371,B_2374)
| ~ reorganization(C_2378,B_2374,G_2377)
| ~ reorganization(A_2376,B_2374,D_2379)
| ~ survival_chance(C_2378,F_2370,B_2374)
| ~ survival_chance(A_2376,F_2370,B_2374)
| ~ class(C_2378,E_2375,B_2374)
| ~ class(A_2376,E_2375,B_2374)
| ~ organization(C_2378,D_2379)
| ~ organization(A_2376,D_2379)
| ~ organization(C_2378,B_2374)
| ~ organization(A_2376,B_2374) ),
inference(resolution,[status(thm)],[c_68,c_11029]) ).
tff(c_23548,plain,
! [G_2377,B_2374,F_2370,E_2375,H_2371,A_2376,I_2373] :
( ( sk11 = I_2373 )
| greater(I_2373,sk11)
| ~ complexity(sk6,sk13,B_2374)
| ~ complexity(A_2376,sk12,B_2374)
| ~ survival_chance(A_2376,I_2373,sk14)
| ~ reorganization_type(sk6,H_2371,B_2374)
| ~ reorganization_type(A_2376,H_2371,B_2374)
| ~ reorganization(sk6,B_2374,G_2377)
| ~ reorganization(A_2376,B_2374,sk14)
| ~ survival_chance(sk6,F_2370,B_2374)
| ~ survival_chance(A_2376,F_2370,B_2374)
| ~ class(sk6,E_2375,B_2374)
| ~ class(A_2376,E_2375,B_2374)
| ~ organization(sk6,sk14)
| ~ organization(A_2376,sk14)
| ~ organization(sk6,B_2374)
| ~ organization(A_2376,B_2374) ),
inference(resolution,[status(thm)],[c_62,c_23534]) ).
tff(c_36342,plain,
! [F_3010,I_3011,B_3009,H_3008,E_3006,A_3005,G_3007] :
( ( sk11 = I_3011 )
| greater(I_3011,sk11)
| ~ complexity(sk6,sk13,B_3009)
| ~ complexity(A_3005,sk12,B_3009)
| ~ survival_chance(A_3005,I_3011,sk14)
| ~ reorganization_type(sk6,H_3008,B_3009)
| ~ reorganization_type(A_3005,H_3008,B_3009)
| ~ reorganization(sk6,B_3009,G_3007)
| ~ reorganization(A_3005,B_3009,sk14)
| ~ survival_chance(sk6,F_3010,B_3009)
| ~ survival_chance(A_3005,F_3010,B_3009)
| ~ class(sk6,E_3006,B_3009)
| ~ class(A_3005,E_3006,B_3009)
| ~ organization(A_3005,sk14)
| ~ organization(sk6,B_3009)
| ~ organization(A_3005,B_3009) ),
inference(demodulation,[status(thm),theory(equality)],[c_10990,c_23548]) ).
tff(c_36349,plain,
! [F_3010,B_3009,H_3008,E_3006,G_3007] :
( ( sk11 = sk10 )
| greater(sk10,sk11)
| ~ complexity(sk6,sk13,B_3009)
| ~ complexity(sk5,sk12,B_3009)
| ~ reorganization_type(sk6,H_3008,B_3009)
| ~ reorganization_type(sk5,H_3008,B_3009)
| ~ reorganization(sk6,B_3009,G_3007)
| ~ reorganization(sk5,B_3009,sk14)
| ~ survival_chance(sk6,F_3010,B_3009)
| ~ survival_chance(sk5,F_3010,B_3009)
| ~ class(sk6,E_3006,B_3009)
| ~ class(sk5,E_3006,B_3009)
| ~ organization(sk5,sk14)
| ~ organization(sk6,B_3009)
| ~ organization(sk5,B_3009) ),
inference(resolution,[status(thm)],[c_60,c_36342]) ).
tff(c_36358,plain,
! [F_3010,B_3009,H_3008,E_3006,G_3007] :
( ( sk11 = sk10 )
| greater(sk10,sk11)
| ~ complexity(sk6,sk13,B_3009)
| ~ complexity(sk5,sk12,B_3009)
| ~ reorganization_type(sk6,H_3008,B_3009)
| ~ reorganization_type(sk5,H_3008,B_3009)
| ~ reorganization(sk6,B_3009,G_3007)
| ~ reorganization(sk5,B_3009,sk14)
| ~ survival_chance(sk6,F_3010,B_3009)
| ~ survival_chance(sk5,F_3010,B_3009)
| ~ class(sk6,E_3006,B_3009)
| ~ class(sk5,E_3006,B_3009)
| ~ organization(sk6,B_3009)
| ~ organization(sk5,B_3009) ),
inference(demodulation,[status(thm),theory(equality)],[c_5711,c_36349]) ).
tff(c_71490,plain,
! [G_6783,B_6781,H_6784,E_6782,F_6785] :
( ~ complexity(sk6,sk13,B_6781)
| ~ complexity(sk5,sk12,B_6781)
| ~ reorganization_type(sk6,H_6784,B_6781)
| ~ reorganization_type(sk5,H_6784,B_6781)
| ~ reorganization(sk6,B_6781,G_6783)
| ~ reorganization(sk5,B_6781,sk14)
| ~ survival_chance(sk6,F_6785,B_6781)
| ~ survival_chance(sk5,F_6785,B_6781)
| ~ class(sk6,E_6782,B_6781)
| ~ class(sk5,E_6782,B_6781)
| ~ organization(sk6,B_6781)
| ~ organization(sk5,B_6781) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_76,c_36358]) ).
tff(c_71492,plain,
! [G_6783,F_6785,E_6782] :
( ~ complexity(sk6,sk13,sk15)
| ~ complexity(sk5,sk12,sk15)
| ~ reorganization_type(sk5,sk7,sk15)
| ~ reorganization(sk6,sk15,G_6783)
| ~ reorganization(sk5,sk15,sk14)
| ~ survival_chance(sk6,F_6785,sk15)
| ~ survival_chance(sk5,F_6785,sk15)
| ~ class(sk6,E_6782,sk15)
| ~ class(sk5,E_6782,sk15)
| ~ organization(sk6,sk15)
| ~ organization(sk5,sk15) ),
inference(resolution,[status(thm)],[c_56,c_71490]) ).
tff(c_71495,plain,
! [G_6783,F_6785,E_6782] :
( ~ reorganization(sk6,sk15,G_6783)
| ~ survival_chance(sk6,F_6785,sk15)
| ~ survival_chance(sk5,F_6785,sk15)
| ~ class(sk6,E_6782,sk15)
| ~ class(sk5,E_6782,sk15) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_36,c_79,c_54,c_64,c_66,c_71492]) ).
tff(c_71497,plain,
! [E_6786] :
( ~ class(sk6,E_6786,sk15)
| ~ class(sk5,E_6786,sk15) ),
inference(splitLeft,[status(thm)],[c_71495]) ).
tff(c_71500,plain,
~ class(sk5,sk8,sk15),
inference(resolution,[status(thm)],[c_44,c_71497]) ).
tff(c_71504,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_71500]) ).
tff(c_71505,plain,
! [F_6785,G_6783] :
( ~ survival_chance(sk6,F_6785,sk15)
| ~ survival_chance(sk5,F_6785,sk15)
| ~ reorganization(sk6,sk15,G_6783) ),
inference(splitRight,[status(thm)],[c_71495]) ).
tff(c_71506,plain,
! [G_6783] : ~ reorganization(sk6,sk15,G_6783),
inference(splitLeft,[status(thm)],[c_71505]) ).
tff(c_71512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71506,c_52]) ).
tff(c_71514,plain,
! [F_6791] :
( ~ survival_chance(sk6,F_6791,sk15)
| ~ survival_chance(sk5,F_6791,sk15) ),
inference(splitRight,[status(thm)],[c_71505]) ).
tff(c_71521,plain,
~ survival_chance(sk5,sk9,sk15),
inference(resolution,[status(thm)],[c_48,c_71514]) ).
tff(c_71528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_71521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT005-2 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.16/0.35 % Computer : n008.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 3 20:35:03 EDT 2023
% 0.16/0.35 % CPUTime :
% 28.79/17.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.79/17.23
% 28.79/17.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.09/17.27
% 29.09/17.27 Inference rules
% 29.09/17.27 ----------------------
% 29.09/17.27 #Ref : 0
% 29.09/17.27 #Sup : 17488
% 29.09/17.27 #Fact : 0
% 29.09/17.27 #Define : 0
% 29.09/17.27 #Split : 332
% 29.09/17.27 #Chain : 0
% 29.09/17.27 #Close : 0
% 29.09/17.27
% 29.09/17.27 Ordering : KBO
% 29.09/17.27
% 29.09/17.27 Simplification rules
% 29.09/17.27 ----------------------
% 29.09/17.27 #Subsume : 9998
% 29.09/17.27 #Demod : 6008
% 29.09/17.27 #Tautology : 94
% 29.09/17.27 #SimpNegUnit : 179
% 29.09/17.27 #BackRed : 5
% 29.09/17.27
% 29.09/17.27 #Partial instantiations: 0
% 29.09/17.27 #Strategies tried : 1
% 29.09/17.27
% 29.09/17.27 Timing (in seconds)
% 29.09/17.27 ----------------------
% 29.09/17.28 Preprocessing : 0.59
% 29.09/17.28 Parsing : 0.32
% 29.09/17.28 CNF conversion : 0.03
% 29.09/17.28 Main loop : 15.60
% 29.09/17.28 Inferencing : 2.76
% 29.09/17.28 Reduction : 5.39
% 29.09/17.28 Demodulation : 3.82
% 29.09/17.28 BG Simplification : 0.15
% 29.09/17.28 Subsumption : 6.50
% 29.09/17.28 Abstraction : 0.27
% 29.09/17.28 MUC search : 0.00
% 29.09/17.28 Cooper : 0.00
% 29.09/17.28 Total : 16.27
% 29.09/17.28 Index Insertion : 0.00
% 29.09/17.28 Index Deletion : 0.00
% 29.09/17.28 Index Matching : 0.00
% 29.09/17.28 BG Taut test : 0.00
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