TSTP Solution File: GRP502-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP502-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n003.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 10:41:23 EDT 2023
% Result : Unsatisfiable 99.69s 60.18s
% Output : CNFRefutation 99.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 8
% Syntax : Number of formulae : 112 ( 107 unt; 5 typ; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 467 (; 467 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > b1 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = inverse(double_divide(B,A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C,D] : ( double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file(unknown,unknown) ).
tff(c_4,plain,
! [B_6,A_5] : ( inverse(double_divide(B_6,A_5)) = multiply(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( double_divide(double_divide(A_1,inverse(double_divide(B_2,C_3))),double_divide(inverse(B_2),inverse(double_divide(D_4,double_divide(A_1,D_4))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [A_9,C_10,B_11,D_12] : ( double_divide(double_divide(A_9,multiply(C_10,B_11)),double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))) = C_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_7,plain,
! [A_1,C_3,B_2,D_4] : ( double_divide(double_divide(A_1,multiply(C_3,B_2)),double_divide(inverse(B_2),multiply(double_divide(A_1,D_4),D_4))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_20,plain,
! [B_11,B_2,C_3,C_10,D_12,A_9] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),multiply(C_3,B_2)),double_divide(inverse(B_2),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_26,plain,
! [B_11,A_9,D_12,C_10] : ( multiply(double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)),double_divide(A_9,multiply(C_10,B_11))) = inverse(C_10) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_65,plain,
! [B_17,A_20,D_19,C_21,A_18] : ( double_divide(double_divide(A_20,multiply(C_21,double_divide(B_17,A_18))),double_divide(multiply(A_18,B_17),multiply(double_divide(A_20,D_19),D_19))) = C_21 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_340,plain,
! [B_39,D_40,A_41,D_42,C_44,A_43] : ( double_divide(inverse(B_39),multiply(double_divide(A_43,D_40),D_40)) = double_divide(double_divide(A_41,inverse(C_44)),double_divide(multiply(multiply(C_44,B_39),A_43),multiply(double_divide(A_41,D_42),D_42))) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_65]) ).
tff(c_95,plain,
! [B_11,A_20,D_19,C_10,D_12,A_9] : ( double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)) = double_divide(double_divide(A_20,inverse(C_10)),double_divide(multiply(multiply(C_10,B_11),A_9),multiply(double_divide(A_20,D_19),D_19))) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_65]) ).
tff(c_509,plain,
! [B_45,A_46,D_48,D_47] : ( double_divide(inverse(B_45),multiply(double_divide(A_46,D_48),D_48)) = double_divide(inverse(B_45),multiply(double_divide(A_46,D_47),D_47)) ),
inference(superposition,[status(thm),theory(equality)],[c_340,c_95]) ).
tff(c_766,plain,
! [A_49,D_50,B_51,D_52] : ( multiply(multiply(double_divide(A_49,D_50),D_50),inverse(B_51)) = inverse(double_divide(inverse(B_51),multiply(double_divide(A_49,D_52),D_52))) ),
inference(superposition,[status(thm),theory(equality)],[c_509,c_4]) ).
tff(c_823,plain,
! [B_11,B_51,D_52,C_10,D_50,A_49,D_12,A_9] : ( multiply(double_divide(A_49,D_50),D_50) = double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(double_divide(inverse(B_51),multiply(double_divide(A_49,D_52),D_52)))),double_divide(inverse(inverse(B_51)),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) ),
inference(superposition,[status(thm),theory(equality)],[c_766,c_20]) ).
tff(c_932,plain,
! [A_53,D_55,D_54] : ( multiply(double_divide(A_53,D_55),D_55) = multiply(double_divide(A_53,D_54),D_54) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_4,c_823]) ).
tff(c_1099,plain,
! [D_55,A_53,A_1,D_4,D_54] : ( double_divide(double_divide(A_1,multiply(double_divide(A_53,D_54),D_54)),double_divide(inverse(D_55),multiply(double_divide(A_1,D_4),D_4))) = double_divide(A_53,D_55) ),
inference(superposition,[status(thm),theory(equality)],[c_932,c_7]) ).
tff(c_109,plain,
! [B_22,D_24,A_26,C_25,C_27,B_23] : ( double_divide(double_divide(double_divide(A_26,multiply(C_27,B_22)),multiply(C_25,B_23)),double_divide(inverse(B_23),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24))))) = C_25 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_145,plain,
! [B_22,B_11,D_24,A_26,C_10,C_27,D_12,A_9] : ( double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)) = double_divide(double_divide(double_divide(A_26,multiply(C_27,B_22)),inverse(C_10)),double_divide(inverse(double_divide(A_9,multiply(C_10,B_11))),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24))))) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_109]) ).
tff(c_162,plain,
! [B_22,B_11,D_24,A_26,C_10,C_27,D_12,A_9] : ( double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)) = double_divide(double_divide(double_divide(A_26,multiply(C_27,B_22)),inverse(C_10)),double_divide(multiply(multiply(C_10,B_11),A_9),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24))))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_145]) ).
tff(c_4185,plain,
! [A_108,D_107,A_104,D_105,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(inverse(D_107),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,D_107) ),
inference(superposition,[status(thm),theory(equality)],[c_932,c_7]) ).
tff(c_4450,plain,
! [A_108,B_6,A_5,A_104,D_105,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(multiply(A_5,B_6),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,double_divide(B_6,A_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4185]) ).
tff(c_130,plain,
! [B_22,D_24,A_26,C_25,C_27,B_23] : ( multiply(double_divide(inverse(B_23),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24)))),double_divide(double_divide(A_26,multiply(C_27,B_22)),multiply(C_25,B_23))) = inverse(C_25) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_3308,plain,
! [C_96,D_95,B_94,A_97,D_93] : ( multiply(double_divide(double_divide(A_97,multiply(C_96,B_94)),D_95),D_95) = multiply(C_96,double_divide(inverse(B_94),multiply(double_divide(A_97,D_93),D_93))) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_932]) ).
tff(c_3864,plain,
! [B_11,D_95,B_94,D_12,A_97] : ( multiply(double_divide(double_divide(A_97,multiply(double_divide(inverse(B_11),multiply(double_divide(inverse(B_94),D_12),D_12)),B_94)),D_95),D_95) = inverse(double_divide(A_97,B_11)) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_3308]) ).
tff(c_3906,plain,
! [B_11,D_95,B_94,D_12,A_97] : ( multiply(double_divide(double_divide(A_97,multiply(double_divide(inverse(B_11),multiply(double_divide(inverse(B_94),D_12),D_12)),B_94)),D_95),D_95) = multiply(B_11,A_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3864]) ).
tff(c_924,plain,
! [A_49,D_52,D_50] : ( multiply(double_divide(A_49,D_52),D_52) = multiply(double_divide(A_49,D_50),D_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_4,c_823]) ).
tff(c_751,plain,
! [A_46,B_6,D_48,A_5,D_47] : ( double_divide(multiply(A_5,B_6),multiply(double_divide(A_46,D_47),D_47)) = double_divide(inverse(double_divide(B_6,A_5)),multiply(double_divide(A_46,D_48),D_48)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_509]) ).
tff(c_1509,plain,
! [D_63,A_66,D_64,A_67,B_65] : ( double_divide(multiply(A_66,B_65),multiply(double_divide(A_67,D_64),D_64)) = double_divide(multiply(A_66,B_65),multiply(double_divide(A_67,D_63),D_63)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_751]) ).
tff(c_17336,plain,
! [A_207,D_205,D_208,D_203,A_204,D_206] : ( double_divide(multiply(double_divide(A_207,D_208),D_208),multiply(double_divide(A_204,D_205),D_205)) = double_divide(multiply(double_divide(A_207,D_203),D_203),multiply(double_divide(A_204,D_206),D_206)) ),
inference(superposition,[status(thm),theory(equality)],[c_924,c_1509]) ).
tff(c_18176,plain,
! [A_207,B_11,B_94,D_208,D_203,D_12,A_97,D_206] : ( double_divide(multiply(double_divide(A_207,D_208),D_208),multiply(B_11,A_97)) = double_divide(multiply(double_divide(A_207,D_203),D_203),multiply(double_divide(double_divide(A_97,multiply(double_divide(inverse(B_11),multiply(double_divide(inverse(B_94),D_12),D_12)),B_94)),D_206),D_206)) ),
inference(superposition,[status(thm),theory(equality)],[c_3906,c_17336]) ).
tff(c_18475,plain,
! [A_209,B_210,D_211,D_213,A_212] : ( double_divide(multiply(double_divide(A_212,D_213),D_213),multiply(B_210,A_209)) = double_divide(multiply(double_divide(A_212,D_211),D_211),multiply(B_210,A_209)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3906,c_18176]) ).
tff(c_19614,plain,
! [B_22,D_24,A_26,D_211,C_25,C_27,D_213,B_23,A_212] : ( double_divide(multiply(double_divide(A_212,D_213),D_213),inverse(C_25)) = double_divide(multiply(double_divide(A_212,D_211),D_211),multiply(double_divide(inverse(B_23),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24)))),double_divide(double_divide(A_26,multiply(C_27,B_22)),multiply(C_25,B_23)))) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_18475]) ).
tff(c_20566,plain,
! [A_221,D_224,C_223,D_222] : ( double_divide(multiply(double_divide(A_221,D_224),D_224),inverse(C_223)) = double_divide(multiply(double_divide(A_221,D_222),D_222),inverse(C_223)) ),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_19614]) ).
tff(c_21453,plain,
! [C_225,A_226,D_227,D_228] : ( multiply(inverse(C_225),multiply(double_divide(A_226,D_227),D_227)) = inverse(double_divide(multiply(double_divide(A_226,D_228),D_228),inverse(C_225))) ),
inference(superposition,[status(thm),theory(equality)],[c_20566,c_4]) ).
tff(c_21570,plain,
! [D_228,D_227,A_108,C_225,A_104,D_105,A_226,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(inverse(double_divide(multiply(double_divide(A_226,D_228),D_228),inverse(C_225))),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,double_divide(multiply(double_divide(A_226,D_227),D_227),inverse(C_225))) ),
inference(superposition,[status(thm),theory(equality)],[c_21453,c_4450]) ).
tff(c_35197,plain,
! [D_296,A_293,C_292,D_294,A_295] : ( double_divide(A_293,double_divide(multiply(double_divide(A_295,D_296),D_296),inverse(C_292))) = double_divide(A_293,double_divide(multiply(double_divide(A_295,D_294),D_294),inverse(C_292))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_21570]) ).
tff(c_37987,plain,
! [A_308,C_307,D_309,D_306,A_305] : ( multiply(double_divide(multiply(double_divide(A_308,D_306),D_306),inverse(C_307)),A_305) = inverse(double_divide(A_305,double_divide(multiply(double_divide(A_308,D_309),D_309),inverse(C_307)))) ),
inference(superposition,[status(thm),theory(equality)],[c_35197,c_4]) ).
tff(c_38564,plain,
! [A_308,D_55,A_1,D_4,C_307,D_309,D_306] : ( double_divide(multiply(double_divide(A_308,D_306),D_306),D_55) = double_divide(double_divide(A_1,inverse(double_divide(inverse(C_307),double_divide(multiply(double_divide(A_308,D_309),D_309),inverse(C_307))))),double_divide(inverse(D_55),multiply(double_divide(A_1,D_4),D_4))) ),
inference(superposition,[status(thm),theory(equality)],[c_37987,c_1099]) ).
tff(c_39630,plain,
! [A_310,D_313,D_312,D_311] : ( double_divide(multiply(double_divide(A_310,D_313),D_313),D_312) = double_divide(multiply(double_divide(A_310,D_311),D_311),D_312) ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_4,c_38564]) ).
tff(c_43084,plain,
! [D_318,A_319,D_320,D_321] : ( multiply(D_318,multiply(double_divide(A_319,D_320),D_320)) = inverse(double_divide(multiply(double_divide(A_319,D_321),D_321),D_318)) ),
inference(superposition,[status(thm),theory(equality)],[c_39630,c_4]) ).
tff(c_43591,plain,
! [A_108,D_321,A_319,A_104,D_105,D_320,D_318,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(inverse(double_divide(multiply(double_divide(A_319,D_321),D_321),D_318)),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,double_divide(multiply(double_divide(A_319,D_320),D_320),D_318)) ),
inference(superposition,[status(thm),theory(equality)],[c_43084,c_4450]) ).
tff(c_51134,plain,
! [D_346,A_348,A_344,D_347,D_345] : ( double_divide(A_344,double_divide(multiply(double_divide(A_348,D_347),D_347),D_346)) = double_divide(A_344,double_divide(multiply(double_divide(A_348,D_345),D_345),D_346)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_43591]) ).
tff(c_55326,plain,
! [D_366,D_363,A_362,A_365,D_364] : ( multiply(double_divide(multiply(double_divide(A_362,D_364),D_364),D_366),A_365) = inverse(double_divide(A_365,double_divide(multiply(double_divide(A_362,D_363),D_363),D_366))) ),
inference(superposition,[status(thm),theory(equality)],[c_51134,c_4]) ).
tff(c_1084,plain,
! [D_55,A_53,D_54,D_12,A_9] : ( multiply(double_divide(inverse(D_54),multiply(double_divide(A_9,D_12),D_12)),double_divide(A_9,multiply(double_divide(A_53,D_55),D_55))) = inverse(double_divide(A_53,D_54)) ),
inference(superposition,[status(thm),theory(equality)],[c_932,c_26]) ).
tff(c_3086,plain,
! [A_88,D_91,A_92,D_89,D_90] : ( multiply(double_divide(inverse(D_89),multiply(double_divide(A_92,D_90),D_90)),double_divide(A_92,multiply(double_divide(A_88,D_91),D_91))) = multiply(D_89,A_88) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1084]) ).
tff(c_3276,plain,
! [B_6,A_88,D_91,A_92,A_5,D_90] : ( multiply(double_divide(multiply(A_5,B_6),multiply(double_divide(A_92,D_90),D_90)),double_divide(A_92,multiply(double_divide(A_88,D_91),D_91))) = multiply(double_divide(B_6,A_5),A_88) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3086]) ).
tff(c_55884,plain,
! [A_88,D_91,A_92,D_363,A_362,D_364,D_90] : ( multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88) = inverse(double_divide(double_divide(A_92,multiply(double_divide(A_88,D_91),D_91)),double_divide(multiply(double_divide(A_362,D_363),D_363),multiply(double_divide(A_92,D_90),D_90)))) ),
inference(superposition,[status(thm),theory(equality)],[c_55326,c_3276]) ).
tff(c_56791,plain,
! [D_364,A_362,A_88,D_363] : ( multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88) = multiply(double_divide(D_363,double_divide(A_362,D_363)),A_88) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4450,c_55884]) ).
tff(c_78854,plain,
! [A_440,D_443,C_444,A_442,C_445,B_441] : ( double_divide(double_divide(A_442,multiply(C_444,B_441)),double_divide(double_divide(A_440,inverse(C_445)),double_divide(multiply(multiply(C_445,B_441),A_442),multiply(double_divide(A_440,D_443),D_443)))) = C_444 ),
inference(superposition,[status(thm),theory(equality)],[c_340,c_7]) ).
tff(c_79406,plain,
! [A_88,A_440,D_443,C_444,D_363,A_362,A_442,D_364] : ( double_divide(double_divide(A_442,multiply(C_444,A_88)),double_divide(double_divide(A_440,inverse(double_divide(D_363,double_divide(A_362,D_363)))),double_divide(multiply(multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88),A_442),multiply(double_divide(A_440,D_443),D_443)))) = C_444 ),
inference(superposition,[status(thm),theory(equality)],[c_56791,c_78854]) ).
tff(c_102349,plain,
! [A_517,D_518,A_519,C_516,A_520] : ( double_divide(double_divide(A_519,multiply(C_516,A_520)),double_divide(A_517,double_divide(A_519,multiply(double_divide(D_518,double_divide(A_517,D_518)),A_520)))) = C_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_79406]) ).
tff(c_103676,plain,
! [B_521,C_522,A_523,C_524] : ( double_divide(double_divide(inverse(B_521),multiply(C_522,double_divide(double_divide(A_523,multiply(C_524,B_521)),A_523))),C_524) = C_522 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_102349]) ).
tff(c_106463,plain,
! [C_529,B_530,C_531,A_532] : ( multiply(C_529,double_divide(inverse(B_530),multiply(C_531,double_divide(double_divide(A_532,multiply(C_529,B_530)),A_532)))) = inverse(C_531) ),
inference(superposition,[status(thm),theory(equality)],[c_103676,c_4]) ).
tff(c_106853,plain,
! [C_529,B_11,A_532,B_530,C_531,C_10,D_12,A_9] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(C_531)),double_divide(inverse(double_divide(inverse(B_530),multiply(C_531,double_divide(double_divide(A_532,multiply(C_529,B_530)),A_532)))),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_529 ),
inference(superposition,[status(thm),theory(equality)],[c_106463,c_20]) ).
tff(c_107538,plain,
! [A_532,C_529,B_530,D_12] : ( double_divide(multiply(A_532,double_divide(A_532,multiply(C_529,B_530))),multiply(double_divide(inverse(B_530),D_12),D_12)) = C_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_162,c_4,c_106853]) ).
tff(c_103643,plain,
! [B_2,C_516,A_1,C_3] : ( double_divide(double_divide(inverse(B_2),multiply(C_516,double_divide(double_divide(A_1,multiply(C_3,B_2)),A_1))),C_3) = C_516 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_102349]) ).
tff(c_106891,plain,
! [C_516,A_1,B_2,C_531] : ( multiply(C_516,double_divide(inverse(double_divide(double_divide(A_1,multiply(inverse(B_2),B_2)),A_1)),multiply(C_531,C_516))) = inverse(C_531) ),
inference(superposition,[status(thm),theory(equality)],[c_103643,c_106463]) ).
tff(c_111718,plain,
! [C_544,A_545,B_546,C_547] : ( multiply(C_544,double_divide(multiply(A_545,double_divide(A_545,multiply(inverse(B_546),B_546))),multiply(C_547,C_544))) = inverse(C_547) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_106891]) ).
tff(c_112117,plain,
! [B_11,C_544,C_547,C_10,A_545,B_546,D_12,A_9] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(C_547)),double_divide(inverse(double_divide(multiply(A_545,double_divide(A_545,multiply(inverse(B_546),B_546))),multiply(C_547,C_544))),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_544 ),
inference(superposition,[status(thm),theory(equality)],[c_111718,c_20]) ).
tff(c_114106,plain,
! [C_552,A_553,B_554,D_555] : ( double_divide(inverse(C_552),multiply(double_divide(multiply(A_553,double_divide(A_553,multiply(inverse(B_554),B_554))),D_555),D_555)) = C_552 ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_4,c_112117]) ).
tff(c_115497,plain,
! [C_556,B_557,D_558] : ( double_divide(inverse(C_556),multiply(inverse(B_557),multiply(double_divide(inverse(B_557),D_558),D_558))) = C_556 ),
inference(superposition,[status(thm),theory(equality)],[c_107538,c_114106]) ).
tff(c_116717,plain,
! [B_559,D_560,C_561] : ( multiply(multiply(inverse(B_559),multiply(double_divide(inverse(B_559),D_560),D_560)),inverse(C_561)) = inverse(C_561) ),
inference(superposition,[status(thm),theory(equality)],[c_115497,c_4]) ).
tff(c_117502,plain,
! [B_559,D_560,A_5,B_6] : ( multiply(multiply(inverse(B_559),multiply(double_divide(inverse(B_559),D_560),D_560)),multiply(A_5,B_6)) = inverse(double_divide(B_6,A_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_116717]) ).
tff(c_117614,plain,
! [B_559,D_560,A_5,B_6] : ( multiply(multiply(inverse(B_559),multiply(double_divide(inverse(B_559),D_560),D_560)),multiply(A_5,B_6)) = multiply(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_117502]) ).
tff(c_56864,plain,
! [D_370,A_368,A_369,D_367] : ( multiply(double_divide(D_370,double_divide(A_368,D_370)),A_369) = multiply(double_divide(D_367,double_divide(A_368,D_367)),A_369) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4450,c_55884]) ).
tff(c_58611,plain,
! [D_373,D_374,D_371,A_372] : ( multiply(double_divide(D_373,D_374),D_374) = multiply(double_divide(D_371,double_divide(A_372,D_371)),double_divide(A_372,D_373)) ),
inference(superposition,[status(thm),theory(equality)],[c_56864,c_924]) ).
tff(c_59875,plain,
! [A_372,A_1,D_4,D_373,D_374,D_371] : ( double_divide(double_divide(A_1,multiply(double_divide(D_373,D_374),D_374)),double_divide(inverse(double_divide(A_372,D_373)),multiply(double_divide(A_1,D_4),D_4))) = double_divide(D_371,double_divide(A_372,D_371)) ),
inference(superposition,[status(thm),theory(equality)],[c_58611,c_7]) ).
tff(c_60392,plain,
! [D_373,A_372,D_371] : ( double_divide(D_373,double_divide(A_372,D_373)) = double_divide(D_371,double_divide(A_372,D_371)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_59875]) ).
tff(c_160071,plain,
! [B_670,D_671,C_672,D_673] : ( double_divide(multiply(inverse(B_670),multiply(double_divide(inverse(B_670),D_671),D_671)),C_672) = double_divide(D_673,double_divide(inverse(C_672),D_673)) ),
inference(superposition,[status(thm),theory(equality)],[c_115497,c_60392]) ).
tff(c_117496,plain,
! [A_5,B_6,D_560,C_561] : ( multiply(multiply(multiply(A_5,B_6),multiply(double_divide(inverse(double_divide(B_6,A_5)),D_560),D_560)),inverse(C_561)) = inverse(C_561) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_116717]) ).
tff(c_117612,plain,
! [A_5,B_6,D_560,C_561] : ( multiply(multiply(multiply(A_5,B_6),multiply(double_divide(multiply(A_5,B_6),D_560),D_560)),inverse(C_561)) = inverse(C_561) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_117496]) ).
tff(c_160348,plain,
! [B_670,D_671,C_561,C_672,D_673] : ( multiply(multiply(multiply(inverse(B_670),multiply(double_divide(inverse(B_670),D_671),D_671)),multiply(double_divide(D_673,double_divide(inverse(C_672),D_673)),C_672)),inverse(C_561)) = inverse(C_561) ),
inference(superposition,[status(thm),theory(equality)],[c_160071,c_117612]) ).
tff(c_166673,plain,
! [D_684,C_685,C_686] : ( multiply(multiply(double_divide(D_684,double_divide(inverse(C_685),D_684)),C_685),inverse(C_686)) = inverse(C_686) ),
inference(demodulation,[status(thm),theory(equality)],[c_117614,c_160348]) ).
tff(c_166942,plain,
! [D_684,C_685,A_20,D_19,C_686,D_12] : ( double_divide(inverse(C_685),multiply(double_divide(inverse(C_686),D_12),D_12)) = double_divide(double_divide(A_20,inverse(double_divide(D_684,double_divide(inverse(C_685),D_684)))),double_divide(inverse(C_686),multiply(double_divide(A_20,D_19),D_19))) ),
inference(superposition,[status(thm),theory(equality)],[c_166673,c_95]) ).
tff(c_170133,plain,
! [C_693,C_694,D_695] : ( double_divide(inverse(C_693),multiply(double_divide(inverse(C_694),D_695),D_695)) = double_divide(inverse(C_693),C_694) ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_4,c_166942]) ).
tff(c_103684,plain,
! [A_523,B_521,C_516,C_522] : ( double_divide(double_divide(inverse(double_divide(double_divide(A_523,multiply(inverse(B_521),B_521)),A_523)),multiply(C_516,C_522)),C_522) = C_516 ),
inference(superposition,[status(thm),theory(equality)],[c_103676,c_103643]) ).
tff(c_105060,plain,
! [A_523,B_521,C_516,C_522] : ( double_divide(double_divide(multiply(A_523,double_divide(A_523,multiply(inverse(B_521),B_521))),multiply(C_516,C_522)),C_522) = C_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103684]) ).
tff(c_123625,plain,
! [C_582,A_583,B_584,C_585] : ( multiply(C_582,double_divide(inverse(multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))),multiply(C_585,C_582))) = inverse(C_585) ),
inference(superposition,[status(thm),theory(equality)],[c_105060,c_106463]) ).
tff(c_124107,plain,
! [B_11,B_584,C_582,C_10,C_585,D_12,A_9,A_583] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(C_585)),double_divide(inverse(double_divide(inverse(multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))),multiply(C_585,C_582))),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_582 ),
inference(superposition,[status(thm),theory(equality)],[c_123625,c_20]) ).
tff(c_124731,plain,
! [C_582,A_583,B_584,D_12] : ( double_divide(inverse(C_582),multiply(double_divide(inverse(multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))),D_12),D_12)) = C_582 ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_4,c_124107]) ).
tff(c_170284,plain,
! [C_693,A_583,B_584] : ( double_divide(inverse(C_693),multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))) = C_693 ),
inference(superposition,[status(thm),theory(equality)],[c_170133,c_124731]) ).
tff(c_171587,plain,
! [C_696,A_697,B_698] : ( double_divide(inverse(C_696),multiply(A_697,double_divide(A_697,multiply(inverse(B_698),B_698)))) = C_696 ),
inference(superposition,[status(thm),theory(equality)],[c_170133,c_124731]) ).
tff(c_172318,plain,
! [A_697,B_698,C_696] : ( multiply(multiply(A_697,double_divide(A_697,multiply(inverse(B_698),B_698))),inverse(C_696)) = inverse(C_696) ),
inference(superposition,[status(thm),theory(equality)],[c_171587,c_4]) ).
tff(c_173520,plain,
! [B_702,C_703,C_704] : ( double_divide(multiply(inverse(B_702),B_702),multiply(C_703,C_704)) = double_divide(C_704,C_703) ),
inference(superposition,[status(thm),theory(equality)],[c_171587,c_103643]) ).
tff(c_174334,plain,
! [B_702,C_696,A_697,B_698] : ( double_divide(multiply(inverse(B_702),B_702),inverse(C_696)) = double_divide(inverse(C_696),multiply(A_697,double_divide(A_697,multiply(inverse(B_698),B_698)))) ),
inference(superposition,[status(thm),theory(equality)],[c_172318,c_173520]) ).
tff(c_174809,plain,
! [B_705,C_706] : ( double_divide(multiply(inverse(B_705),B_705),inverse(C_706)) = C_706 ),
inference(demodulation,[status(thm),theory(equality)],[c_170284,c_174334]) ).
tff(c_175640,plain,
! [A_5,B_6,C_706] : ( double_divide(multiply(multiply(A_5,B_6),double_divide(B_6,A_5)),inverse(C_706)) = C_706 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_174809]) ).
tff(c_116628,plain,
! [C_556,A_5,B_6,D_558] : ( double_divide(inverse(C_556),multiply(multiply(A_5,B_6),multiply(double_divide(inverse(double_divide(B_6,A_5)),D_558),D_558))) = C_556 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_115497]) ).
tff(c_116715,plain,
! [C_556,A_5,B_6,D_558] : ( double_divide(inverse(C_556),multiply(multiply(A_5,B_6),multiply(double_divide(multiply(A_5,B_6),D_558),D_558))) = C_556 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_116628]) ).
tff(c_160371,plain,
! [B_670,D_671,C_672,D_673,C_556] : ( double_divide(inverse(C_556),multiply(multiply(inverse(B_670),multiply(double_divide(inverse(B_670),D_671),D_671)),multiply(double_divide(D_673,double_divide(inverse(C_672),D_673)),C_672))) = C_556 ),
inference(superposition,[status(thm),theory(equality)],[c_160071,c_116715]) ).
tff(c_164158,plain,
! [C_678,D_679,C_680] : ( double_divide(inverse(C_678),multiply(double_divide(D_679,double_divide(inverse(C_680),D_679)),C_680)) = C_678 ),
inference(demodulation,[status(thm),theory(equality)],[c_117614,c_160371]) ).
tff(c_80025,plain,
! [A_88,C_444,A_362,A_442,D_364] : ( double_divide(double_divide(A_442,multiply(C_444,A_88)),double_divide(A_362,double_divide(A_442,multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88)))) = C_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_79406]) ).
tff(c_164335,plain,
! [C_678,C_444,C_680] : ( double_divide(double_divide(inverse(C_678),multiply(C_444,C_680)),double_divide(inverse(C_680),C_678)) = C_444 ),
inference(superposition,[status(thm),theory(equality)],[c_164158,c_80025]) ).
tff(c_171612,plain,
! [C_696,A_697,B_698] : ( double_divide(C_696,double_divide(inverse(double_divide(A_697,multiply(inverse(B_698),B_698))),C_696)) = A_697 ),
inference(superposition,[status(thm),theory(equality)],[c_171587,c_164335]) ).
tff(c_183136,plain,
! [C_727,B_728,A_729] : ( double_divide(C_727,double_divide(multiply(multiply(inverse(B_728),B_728),A_729),C_727)) = A_729 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_171612]) ).
tff(c_184424,plain,
! [C_730,B_731] : ( double_divide(inverse(C_730),C_730) = double_divide(B_731,inverse(B_731)) ),
inference(superposition,[status(thm),theory(equality)],[c_175640,c_183136]) ).
tff(c_174755,plain,
! [B_702,C_696] : ( double_divide(multiply(inverse(B_702),B_702),inverse(C_696)) = C_696 ),
inference(demodulation,[status(thm),theory(equality)],[c_170284,c_174334]) ).
tff(c_191587,plain,
! [B_736,C_737] : ( multiply(inverse(B_736),B_736) = double_divide(inverse(C_737),C_737) ),
inference(superposition,[status(thm),theory(equality)],[c_184424,c_174755]) ).
tff(c_177968,plain,
! [C_714,B_715] : ( multiply(inverse(C_714),multiply(inverse(B_715),B_715)) = inverse(C_714) ),
inference(superposition,[status(thm),theory(equality)],[c_174809,c_4]) ).
tff(c_175364,plain,
! [C_706,B_705] : ( multiply(inverse(C_706),multiply(inverse(B_705),B_705)) = inverse(C_706) ),
inference(superposition,[status(thm),theory(equality)],[c_174809,c_4]) ).
tff(c_180805,plain,
! [C_721,B_722] : ( multiply(inverse(C_721),inverse(multiply(inverse(B_722),B_722))) = inverse(C_721) ),
inference(superposition,[status(thm),theory(equality)],[c_177968,c_175364]) ).
tff(c_180833,plain,
! [B_722,C_696] : ( double_divide(inverse(inverse(multiply(inverse(B_722),B_722))),inverse(C_696)) = C_696 ),
inference(superposition,[status(thm),theory(equality)],[c_180805,c_174755]) ).
tff(c_206195,plain,
! [B_809,B_808] : ( multiply(inverse(B_809),B_809) = multiply(inverse(B_808),B_808) ),
inference(superposition,[status(thm),theory(equality)],[c_191587,c_180833]) ).
tff(c_6,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_206371,plain,
! [B_808] : ( multiply(inverse(a1),a1) != multiply(inverse(B_808),B_808) ),
inference(superposition,[status(thm),theory(equality)],[c_206195,c_6]) ).
tff(c_206860,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_206371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP502-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 21:56:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 99.69/60.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.69/60.20
% 99.69/60.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 99.69/60.24
% 99.69/60.24 Inference rules
% 99.69/60.24 ----------------------
% 99.69/60.24 #Ref : 1
% 99.69/60.24 #Sup : 58637
% 99.69/60.24 #Fact : 0
% 99.69/60.24 #Define : 0
% 99.69/60.24 #Split : 0
% 99.69/60.24 #Chain : 0
% 99.69/60.24 #Close : 0
% 99.69/60.24
% 99.69/60.24 Ordering : KBO
% 99.69/60.24
% 99.69/60.24 Simplification rules
% 99.69/60.24 ----------------------
% 99.69/60.24 #Subsume : 4171
% 99.69/60.24 #Demod : 19673
% 99.69/60.24 #Tautology : 2674
% 99.69/60.24 #SimpNegUnit : 0
% 99.69/60.24 #BackRed : 101
% 99.69/60.24
% 99.69/60.24 #Partial instantiations: 0
% 99.69/60.24 #Strategies tried : 1
% 99.69/60.24
% 99.69/60.24 Timing (in seconds)
% 99.69/60.24 ----------------------
% 99.69/60.25 Preprocessing : 0.42
% 99.69/60.25 Parsing : 0.22
% 99.69/60.25 CNF conversion : 0.02
% 99.69/60.25 Main loop : 58.74
% 99.69/60.25 Inferencing : 9.83
% 99.98/60.25 Reduction : 39.23
% 99.98/60.25 Demodulation : 37.80
% 99.98/60.25 BG Simplification : 2.07
% 99.98/60.25 Subsumption : 5.37
% 99.98/60.25 Abstraction : 3.27
% 99.98/60.25 MUC search : 0.00
% 99.98/60.25 Cooper : 0.00
% 99.98/60.25 Total : 59.23
% 99.98/60.25 Index Insertion : 0.00
% 99.98/60.25 Index Deletion : 0.00
% 99.98/60.25 Index Matching : 0.00
% 99.98/60.25 BG Taut test : 0.00
%------------------------------------------------------------------------------