TSTP Solution File: GRP599-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP599-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n013.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 10:41:36 EDT 2023
% Result : Unsatisfiable 192.53s 130.95s
% Output : CNFRefutation 192.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 113 ( 107 unt; 6 typ; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 267 (; 267 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $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] : ( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_4,plain,
! [B_5,A_4] : ( inverse(double_divide(B_5,A_4)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,B_2),inverse(double_divide(A_1,inverse(double_divide(inverse(C_3),B_2))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [A_8,B_9,C_10] : ( double_divide(double_divide(A_8,B_9),multiply(multiply(B_9,inverse(C_10)),A_8)) = C_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_26,plain,
! [B_9,C_10,A_8] : ( multiply(multiply(multiply(B_9,inverse(C_10)),A_8),double_divide(A_8,B_9)) = inverse(C_10) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_95,plain,
! [A_17,B_18,A_19,B_20] : ( double_divide(double_divide(A_17,B_18),multiply(multiply(B_18,multiply(A_19,B_20)),A_17)) = double_divide(B_20,A_19) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_346,plain,
! [A_36,B_37,B_38,C_39] : ( double_divide(double_divide(double_divide(multiply(A_36,B_37),B_38),multiply(B_38,inverse(C_39))),inverse(C_39)) = double_divide(B_37,A_36) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_95]) ).
tff(c_367,plain,
! [C_39,A_36,B_37,B_38] : ( multiply(inverse(C_39),double_divide(double_divide(multiply(A_36,B_37),B_38),multiply(B_38,inverse(C_39)))) = inverse(double_divide(B_37,A_36)) ),
inference(superposition,[status(thm),theory(equality)],[c_346,c_4]) ).
tff(c_391,plain,
! [C_39,A_36,B_37,B_38] : ( multiply(inverse(C_39),double_divide(double_divide(multiply(A_36,B_37),B_38),multiply(B_38,inverse(C_39)))) = multiply(A_36,B_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_367]) ).
tff(c_7,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,B_2),multiply(multiply(B_2,inverse(C_3)),A_1)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_277,plain,
! [C_32,B_33,A_34,C_35] : ( double_divide(C_32,multiply(multiply(multiply(multiply(B_33,inverse(C_32)),A_34),inverse(C_35)),double_divide(A_34,B_33))) = C_35 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_310,plain,
! [B_33,C_32,A_34,C_35] : ( multiply(multiply(multiply(multiply(multiply(B_33,inverse(C_32)),A_34),inverse(C_35)),double_divide(A_34,B_33)),C_32) = inverse(C_35) ),
inference(superposition,[status(thm),theory(equality)],[c_277,c_4]) ).
tff(c_574,plain,
! [B_48,C_49,A_50,C_51] : ( multiply(multiply(multiply(multiply(multiply(B_48,inverse(C_49)),A_50),inverse(C_51)),double_divide(A_50,B_48)),C_49) = inverse(C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_277,c_4]) ).
tff(c_665,plain,
! [C_35,A_34,B_33,C_51] : ( multiply(multiply(inverse(C_35),double_divide(double_divide(A_34,B_33),multiply(multiply(B_33,inverse(inverse(C_51))),A_34))),C_35) = inverse(C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_310,c_574]) ).
tff(c_779,plain,
! [C_54,C_55] : ( multiply(multiply(inverse(C_54),inverse(C_55)),C_54) = inverse(C_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_665]) ).
tff(c_887,plain,
! [C_56,C_57] : ( double_divide(double_divide(C_56,inverse(C_56)),inverse(C_57)) = C_57 ),
inference(superposition,[status(thm),theory(equality)],[c_779,c_7]) ).
tff(c_1597,plain,
! [C_74,A_75,B_76] : ( double_divide(double_divide(C_74,inverse(C_74)),multiply(A_75,B_76)) = double_divide(B_76,A_75) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_887]) ).
tff(c_20,plain,
! [C_10,B_9,A_8,C_3] : ( double_divide(C_10,multiply(multiply(multiply(multiply(B_9,inverse(C_10)),A_8),inverse(C_3)),double_divide(A_8,B_9))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_617,plain,
! [C_51,A_50,B_48,C_3] : ( double_divide(C_51,multiply(inverse(C_51),double_divide(double_divide(A_50,B_48),multiply(multiply(B_48,inverse(inverse(C_3))),A_50)))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_574,c_20]) ).
tff(c_719,plain,
! [C_52,C_53] : ( double_divide(C_52,multiply(inverse(C_52),inverse(C_53))) = C_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_617]) ).
tff(c_773,plain,
! [B_5,A_4,C_53] : ( double_divide(double_divide(B_5,A_4),multiply(multiply(A_4,B_5),inverse(C_53))) = C_53 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_719]) ).
tff(c_1607,plain,
! [C_53,C_74] : ( double_divide(inverse(C_53),multiply(inverse(C_74),C_74)) = C_53 ),
inference(superposition,[status(thm),theory(equality)],[c_1597,c_773]) ).
tff(c_875,plain,
! [C_54,A_4,B_5] : ( multiply(multiply(inverse(C_54),multiply(A_4,B_5)),C_54) = inverse(double_divide(B_5,A_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_779]) ).
tff(c_989,plain,
! [C_60,A_61,B_62] : ( multiply(multiply(inverse(C_60),multiply(A_61,B_62)),C_60) = multiply(A_61,B_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_875]) ).
tff(c_110,plain,
! [B_18,A_19,B_20,A_17] : ( multiply(multiply(multiply(B_18,multiply(A_19,B_20)),A_17),double_divide(A_17,B_18)) = inverse(double_divide(B_20,A_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_95,c_4]) ).
tff(c_131,plain,
! [B_18,A_19,B_20,A_17] : ( multiply(multiply(multiply(B_18,multiply(A_19,B_20)),A_17),double_divide(A_17,B_18)) = multiply(A_19,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_110]) ).
tff(c_1409,plain,
! [A_71,B_72,C_73] : ( multiply(multiply(A_71,B_72),double_divide(C_73,inverse(C_73))) = multiply(A_71,B_72) ),
inference(superposition,[status(thm),theory(equality)],[c_989,c_131]) ).
tff(c_716,plain,
! [C_35,C_51] : ( multiply(multiply(inverse(C_35),inverse(C_51)),C_35) = inverse(C_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_665]) ).
tff(c_1432,plain,
! [C_73,C_51] : ( multiply(inverse(double_divide(C_73,inverse(C_73))),inverse(C_51)) = inverse(C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_1409,c_716]) ).
tff(c_1838,plain,
! [C_79,C_80] : ( multiply(multiply(inverse(C_79),C_79),inverse(C_80)) = inverse(C_80) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1432]) ).
tff(c_38,plain,
! [B_11,C_12,A_13] : ( multiply(multiply(multiply(B_11,inverse(C_12)),A_13),double_divide(A_13,B_11)) = inverse(C_12) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_49,plain,
! [C_3,B_11,C_12] : ( double_divide(double_divide(double_divide(inverse(C_3),B_11),multiply(B_11,inverse(C_12))),inverse(C_12)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_7]) ).
tff(c_1921,plain,
! [C_3,C_79,C_80] : ( double_divide(double_divide(double_divide(inverse(C_3),multiply(inverse(C_79),C_79)),inverse(C_80)),inverse(C_80)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_1838,c_49]) ).
tff(c_2101,plain,
! [C_85,C_86] : ( double_divide(double_divide(C_85,inverse(C_86)),inverse(C_86)) = C_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_1607,c_1921]) ).
tff(c_1222,plain,
! [B_66,A_67,C_68] : ( double_divide(double_divide(B_66,A_67),multiply(multiply(A_67,B_66),inverse(C_68))) = C_68 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_719]) ).
tff(c_1282,plain,
! [C_51,C_68] : ( double_divide(double_divide(inverse(C_51),inverse(inverse(C_68))),inverse(C_51)) = C_68 ),
inference(superposition,[status(thm),theory(equality)],[c_716,c_1222]) ).
tff(c_2111,plain,
! [C_68] : ( inverse(inverse(C_68)) = C_68 ),
inference(superposition,[status(thm),theory(equality)],[c_2101,c_1282]) ).
tff(c_2181,plain,
! [C_87] : ( inverse(inverse(C_87)) = C_87 ),
inference(superposition,[status(thm),theory(equality)],[c_2101,c_1282]) ).
tff(c_2250,plain,
! [C_35,C_87] : ( multiply(multiply(inverse(C_35),C_87),C_35) = inverse(inverse(C_87)) ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_716]) ).
tff(c_2802,plain,
! [C_94,C_95] : ( multiply(multiply(inverse(C_94),C_95),C_94) = C_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2250]) ).
tff(c_2830,plain,
! [C_95,C_53] : ( double_divide(double_divide(C_95,inverse(inverse(C_53))),C_95) = C_53 ),
inference(superposition,[status(thm),theory(equality)],[c_2802,c_773]) ).
tff(c_2992,plain,
! [C_96,C_97] : ( double_divide(double_divide(C_96,C_97),C_96) = C_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2830]) ).
tff(c_1970,plain,
! [C_3,C_80] : ( double_divide(double_divide(C_3,inverse(C_80)),inverse(C_80)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_1607,c_1921]) ).
tff(c_2190,plain,
! [C_3,C_87] : ( double_divide(double_divide(C_3,C_87),inverse(inverse(C_87))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_1970]) ).
tff(c_2322,plain,
! [C_3,C_87] : ( double_divide(double_divide(C_3,C_87),C_87) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2190]) ).
tff(c_3787,plain,
! [C_110,C_109] : ( double_divide(C_110,C_109) = double_divide(C_109,C_110) ),
inference(superposition,[status(thm),theory(equality)],[c_2992,c_2322]) ).
tff(c_5718,plain,
! [C_128,C_129] : ( inverse(double_divide(C_128,C_129)) = multiply(C_128,C_129) ),
inference(superposition,[status(thm),theory(equality)],[c_3787,c_4]) ).
tff(c_53,plain,
! [C_10,C_12,B_9] : ( multiply(inverse(C_10),double_divide(double_divide(inverse(C_12),B_9),multiply(B_9,inverse(C_10)))) = inverse(C_12) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_38]) ).
tff(c_5826,plain,
! [C_10,C_128,C_129,B_9] : ( multiply(inverse(C_10),double_divide(double_divide(multiply(C_128,C_129),B_9),multiply(B_9,inverse(C_10)))) = inverse(double_divide(C_128,C_129)) ),
inference(superposition,[status(thm),theory(equality)],[c_5718,c_53]) ).
tff(c_5927,plain,
! [C_129,C_128] : ( multiply(C_129,C_128) = multiply(C_128,C_129) ),
inference(demodulation,[status(thm),theory(equality)],[c_391,c_4,c_5826]) ).
tff(c_2544,plain,
! [C_90,C_91] : ( double_divide(double_divide(C_90,C_91),C_91) = C_90 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2190]) ).
tff(c_3620,plain,
! [C_107,C_108] : ( multiply(C_107,double_divide(C_108,C_107)) = inverse(C_108) ),
inference(superposition,[status(thm),theory(equality)],[c_2544,c_4]) ).
tff(c_2328,plain,
! [C_35,C_87] : ( multiply(multiply(inverse(C_35),C_87),C_35) = C_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2250]) ).
tff(c_3634,plain,
! [C_108,C_35] : ( multiply(inverse(C_108),C_35) = double_divide(C_108,inverse(C_35)) ),
inference(superposition,[status(thm),theory(equality)],[c_3620,c_2328]) ).
tff(c_3023,plain,
! [C_39,A_36] : ( multiply(inverse(C_39),A_36) = multiply(A_36,inverse(C_39)) ),
inference(superposition,[status(thm),theory(equality)],[c_2992,c_391]) ).
tff(c_30988,plain,
! [A_278,C_279] : ( multiply(A_278,inverse(C_279)) = double_divide(C_279,inverse(A_278)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3634,c_3023]) ).
tff(c_31279,plain,
! [B_5,A_4,A_278] : ( double_divide(double_divide(B_5,A_4),inverse(A_278)) = multiply(A_278,multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30988]) ).
tff(c_2946,plain,
! [C_68,C_95] : ( multiply(multiply(C_68,C_95),inverse(C_68)) = C_95 ),
inference(superposition,[status(thm),theory(equality)],[c_2111,c_2802]) ).
tff(c_2307,plain,
! [B_9,C_87,A_8] : ( multiply(multiply(multiply(B_9,C_87),A_8),double_divide(A_8,B_9)) = inverse(inverse(C_87)) ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_26]) ).
tff(c_207945,plain,
! [B_808,C_809,A_810] : ( multiply(multiply(multiply(B_808,C_809),A_810),double_divide(A_810,B_808)) = C_809 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2307]) ).
tff(c_711,plain,
! [C_51,C_3] : ( double_divide(C_51,multiply(inverse(C_51),inverse(C_3))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_617]) ).
tff(c_15746,plain,
! [C_210,C_211] : ( double_divide(C_210,multiply(inverse(C_210),C_211)) = inverse(C_211) ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_711]) ).
tff(c_15991,plain,
! [B_5,A_4,C_211] : ( double_divide(double_divide(B_5,A_4),multiply(multiply(A_4,B_5),C_211)) = inverse(C_211) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15746]) ).
tff(c_208238,plain,
! [A_810,B_808,C_809] : ( double_divide(double_divide(A_810,multiply(B_808,C_809)),C_809) = inverse(double_divide(A_810,B_808)) ),
inference(superposition,[status(thm),theory(equality)],[c_207945,c_15991]) ).
tff(c_250713,plain,
! [A_893,B_894,C_895] : ( double_divide(double_divide(A_893,multiply(B_894,C_895)),C_895) = multiply(B_894,A_893) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_208238]) ).
tff(c_252318,plain,
! [A_893,C_95,C_68] : ( double_divide(double_divide(A_893,C_95),inverse(C_68)) = multiply(multiply(C_68,C_95),A_893) ),
inference(superposition,[status(thm),theory(equality)],[c_2946,c_250713]) ).
tff(c_252636,plain,
! [C_68,C_95,A_893] : ( multiply(multiply(C_68,C_95),A_893) = multiply(C_68,multiply(C_95,A_893)) ),
inference(demodulation,[status(thm),theory(equality)],[c_31279,c_252318]) ).
tff(c_866,plain,
! [C_54,C_55] : ( double_divide(double_divide(C_54,inverse(C_54)),inverse(C_55)) = C_55 ),
inference(superposition,[status(thm),theory(equality)],[c_779,c_7]) ).
tff(c_15322,plain,
! [C_209,C_208] : ( double_divide(C_209,inverse(C_209)) = double_divide(C_208,inverse(C_208)) ),
inference(superposition,[status(thm),theory(equality)],[c_866,c_2101]) ).
tff(c_15650,plain,
! [C_68,C_209] : ( double_divide(inverse(C_68),C_68) = double_divide(C_209,inverse(C_209)) ),
inference(superposition,[status(thm),theory(equality)],[c_2111,c_15322]) ).
tff(c_18455,plain,
! [C_226,C_227] : ( double_divide(inverse(C_226),multiply(C_227,inverse(C_227))) = C_226 ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_1607]) ).
tff(c_19548,plain,
! [C_232,C_233] : ( multiply(C_232,inverse(C_232)) = double_divide(C_233,inverse(C_233)) ),
inference(superposition,[status(thm),theory(equality)],[c_15650,c_18455]) ).
tff(c_19887,plain,
! [C_51,C_233] : ( double_divide(C_51,double_divide(C_233,inverse(C_233))) = inverse(C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_19548,c_711]) ).
tff(c_2578,plain,
! [C_91,C_90] : ( multiply(C_91,double_divide(C_90,C_91)) = inverse(C_90) ),
inference(superposition,[status(thm),theory(equality)],[c_2544,c_4]) ).
tff(c_2925,plain,
! [A_1,C_3,C_95] : ( double_divide(double_divide(A_1,multiply(inverse(inverse(C_3)),C_95)),multiply(C_95,A_1)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_2802,c_7]) ).
tff(c_216189,plain,
! [A_823,C_824,C_825] : ( double_divide(double_divide(A_823,multiply(C_824,C_825)),multiply(C_825,A_823)) = C_824 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2925]) ).
tff(c_216727,plain,
! [C_824,C_825,A_823] : ( double_divide(C_824,multiply(C_825,A_823)) = double_divide(A_823,multiply(C_824,C_825)) ),
inference(superposition,[status(thm),theory(equality)],[c_216189,c_2322]) ).
tff(c_1566,plain,
! [C_73,C_51] : ( multiply(multiply(inverse(C_73),C_73),inverse(C_51)) = inverse(C_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1432]) ).
tff(c_2211,plain,
! [C_73,C_87] : ( multiply(multiply(inverse(C_73),C_73),C_87) = inverse(inverse(C_87)) ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_1566]) ).
tff(c_4420,plain,
! [C_116,C_117] : ( multiply(multiply(inverse(C_116),C_116),C_117) = C_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2211]) ).
tff(c_859,plain,
! [C_55,C_54] : ( multiply(inverse(C_55),double_divide(C_54,inverse(C_54))) = inverse(C_55) ),
inference(superposition,[status(thm),theory(equality)],[c_779,c_26]) ).
tff(c_2235,plain,
! [C_87,C_54] : ( multiply(C_87,double_divide(C_54,inverse(C_54))) = inverse(inverse(C_87)) ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_859]) ).
tff(c_2327,plain,
! [C_87,C_54] : ( multiply(C_87,double_divide(C_54,inverse(C_54))) = C_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2235]) ).
tff(c_20790,plain,
! [C_236,C_237] : ( multiply(inverse(C_236),C_236) = double_divide(C_237,inverse(C_237)) ),
inference(superposition,[status(thm),theory(equality)],[c_4420,c_2327]) ).
tff(c_81359,plain,
! [C_495,B_496,A_497] : ( multiply(inverse(C_495),C_495) = double_divide(double_divide(B_496,A_497),multiply(A_497,B_496)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20790]) ).
tff(c_399850,plain,
! [A_1176,B_1177,B_1178,A_1179] : ( multiply(multiply(A_1176,B_1177),double_divide(B_1177,A_1176)) = double_divide(double_divide(B_1178,A_1179),multiply(A_1179,B_1178)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_81359]) ).
tff(c_3001,plain,
! [C_97,C_96] : ( double_divide(C_97,C_96) = double_divide(C_96,C_97) ),
inference(superposition,[status(thm),theory(equality)],[c_2992,c_2322]) ).
tff(c_2319,plain,
! [A_4,B_5] : ( inverse(multiply(A_4,B_5)) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2181]) ).
tff(c_15972,plain,
! [C_68,C_211] : ( double_divide(inverse(C_68),multiply(C_68,C_211)) = inverse(C_211) ),
inference(superposition,[status(thm),theory(equality)],[c_2111,c_15746]) ).
tff(c_208334,plain,
! [B_808,C_809,A_810] : ( double_divide(inverse(multiply(multiply(B_808,C_809),A_810)),C_809) = inverse(double_divide(A_810,B_808)) ),
inference(superposition,[status(thm),theory(equality)],[c_207945,c_15972]) ).
tff(c_209319,plain,
! [C_809,A_810,B_808] : ( double_divide(C_809,double_divide(A_810,multiply(B_808,C_809))) = multiply(B_808,A_810) ),
inference(demodulation,[status(thm),theory(equality)],[c_3001,c_2319,c_4,c_208334]) ).
tff(c_400371,plain,
! [A_1176,A_1179,B_1177,A_810,B_1178] : ( double_divide(double_divide(B_1177,A_1176),double_divide(A_810,double_divide(double_divide(B_1178,A_1179),multiply(A_1179,B_1178)))) = multiply(multiply(A_1176,B_1177),A_810) ),
inference(superposition,[status(thm),theory(equality)],[c_399850,c_209319]) ).
tff(c_402791,plain,
! [A_810,A_1176,B_1177] : ( multiply(A_810,multiply(A_1176,B_1177)) = multiply(A_1176,multiply(B_1177,A_810)) ),
inference(demodulation,[status(thm),theory(equality)],[c_252636,c_31279,c_19887,c_2578,c_5927,c_216727,c_400371]) ).
tff(c_2964,plain,
! [C_95,C_53] : ( double_divide(double_divide(C_95,C_53),C_95) = C_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2830]) ).
tff(c_251762,plain,
! [B_894,A_893,C_895] : ( double_divide(multiply(B_894,A_893),double_divide(A_893,multiply(B_894,C_895))) = C_895 ),
inference(superposition,[status(thm),theory(equality)],[c_250713,c_2964]) ).
tff(c_4546,plain,
! [C_117,A_19,B_20] : ( multiply(C_117,double_divide(C_117,inverse(multiply(A_19,B_20)))) = multiply(A_19,B_20) ),
inference(superposition,[status(thm),theory(equality)],[c_4420,c_131]) ).
tff(c_220480,plain,
! [C_833,B_834,A_835] : ( multiply(C_833,double_divide(C_833,double_divide(B_834,A_835))) = multiply(A_835,B_834) ),
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_4546]) ).
tff(c_223679,plain,
! [C_839,B_840,A_841] : ( multiply(double_divide(C_839,double_divide(B_840,A_841)),C_839) = multiply(A_841,B_840) ),
inference(superposition,[status(thm),theory(equality)],[c_2322,c_220480]) ).
tff(c_387111,plain,
! [C_1159,C_1160,C_1161] : ( multiply(double_divide(C_1159,double_divide(C_1160,C_1161)),C_1159) = multiply(C_1160,C_1161) ),
inference(superposition,[status(thm),theory(equality)],[c_3001,c_223679]) ).
tff(c_387931,plain,
! [C_895,B_894,A_893] : ( multiply(C_895,multiply(B_894,A_893)) = multiply(A_893,multiply(B_894,C_895)) ),
inference(superposition,[status(thm),theory(equality)],[c_251762,c_387111]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_5949,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_5927,c_6]) ).
tff(c_408781,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_387931,c_5949]) ).
tff(c_414249,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_402791,c_408781]) ).
tff(c_414252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5927,c_414249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP599-1 : TPTP v8.1.2. Released v2.6.0.
% 0.15/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 21:52:48 EDT 2023
% 0.16/0.37 % CPUTime :
% 192.53/130.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 192.53/130.97
% 192.53/130.97 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 192.53/131.01
% 192.53/131.01 Inference rules
% 192.53/131.01 ----------------------
% 192.53/131.01 #Ref : 0
% 192.53/131.01 #Sup : 104297
% 192.53/131.01 #Fact : 0
% 192.53/131.01 #Define : 0
% 192.53/131.01 #Split : 0
% 192.53/131.01 #Chain : 0
% 192.53/131.01 #Close : 0
% 192.53/131.01
% 192.53/131.01 Ordering : KBO
% 192.53/131.01
% 192.53/131.01 Simplification rules
% 192.53/131.01 ----------------------
% 192.53/131.01 #Subsume : 12862
% 192.53/131.01 #Demod : 251933
% 192.53/131.01 #Tautology : 26526
% 192.53/131.01 #SimpNegUnit : 0
% 192.53/131.01 #BackRed : 116
% 192.53/131.01
% 192.53/131.01 #Partial instantiations: 0
% 192.53/131.01 #Strategies tried : 1
% 192.53/131.01
% 192.53/131.01 Timing (in seconds)
% 192.53/131.01 ----------------------
% 192.53/131.01 Preprocessing : 0.39
% 192.53/131.01 Parsing : 0.21
% 192.53/131.01 CNF conversion : 0.02
% 192.53/131.01 Main loop : 129.36
% 192.53/131.01 Inferencing : 10.88
% 192.53/131.01 Reduction : 100.84
% 192.53/131.01 Demodulation : 97.49
% 192.53/131.01 BG Simplification : 1.79
% 192.53/131.01 Subsumption : 11.08
% 192.53/131.01 Abstraction : 4.40
% 192.53/131.01 MUC search : 0.00
% 192.53/131.01 Cooper : 0.00
% 192.90/131.01 Total : 129.82
% 192.90/131.01 Index Insertion : 0.00
% 192.90/131.01 Index Deletion : 0.00
% 192.90/131.01 Index Matching : 0.00
% 192.90/131.02 BG Taut test : 0.00
%------------------------------------------------------------------------------