TSTP Solution File: GRP469-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP469-1 : 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 : n012.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 10:41:19 EDT 2023
% Result : Unsatisfiable 226.70s 119.41s
% Output : CNFRefutation 227.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of formulae : 102 ( 97 unt; 5 typ; 0 def)
% Number of atoms : 97 ( 96 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 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 : 406 (; 406 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > b1 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = divide(A,inverse(B)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C,D] : ( divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)) = B ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_5,B_6] : ( divide(A_5,inverse(B_6)) = multiply(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_16,plain,
! [A_9,B_10,C_11,D_12] : ( divide(inverse(divide(A_9,divide(B_10,divide(C_11,D_12)))),divide(divide(D_12,C_11),A_9)) = B_10 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( divide(inverse(divide(A_1,divide(B_2,divide(C_3,D_4)))),divide(divide(D_4,C_3),A_1)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_22,plain,
! [C_11,A_1,B_10,D_12,A_9] : ( divide(inverse(divide(A_1,B_10)),divide(divide(A_9,divide(D_12,C_11)),A_1)) = inverse(divide(A_9,divide(B_10,divide(C_11,D_12)))) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).
tff(c_1298,plain,
! [B_59,D_61,A_63,A_62,C_60] : ( divide(inverse(divide(A_62,B_59)),divide(divide(A_63,divide(D_61,C_60)),A_62)) = inverse(divide(A_63,divide(B_59,divide(C_60,D_61)))) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).
tff(c_1559,plain,
! [A_64,B_65,D_66,C_67] : ( inverse(divide(A_64,divide(divide(B_65,divide(divide(D_66,C_67),A_64)),divide(C_67,D_66)))) = B_65 ),
inference(superposition,[status(thm),theory(equality)],[c_1298,c_2]) ).
tff(c_2475,plain,
! [A_88,B_89,B_90,A_91] : ( inverse(divide(A_88,divide(divide(B_89,divide(divide(inverse(B_90),A_91),A_88)),multiply(A_91,B_90)))) = B_89 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1559]) ).
tff(c_2591,plain,
! [A_9,B_10,A_91,B_90] : ( inverse(inverse(divide(A_9,divide(B_10,divide(inverse(divide(multiply(A_91,B_90),B_10)),divide(inverse(B_90),A_91)))))) = A_9 ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_2475]) ).
tff(c_42,plain,
! [C_11,B_2,C_3,D_4,D_12] : ( divide(inverse(B_2),divide(divide(D_12,C_11),inverse(divide(divide(C_11,D_12),divide(B_2,divide(C_3,D_4)))))) = divide(D_4,C_3) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16]) ).
tff(c_64,plain,
! [C_11,B_2,C_3,D_4,D_12] : ( divide(inverse(B_2),multiply(divide(D_12,C_11),divide(divide(C_11,D_12),divide(B_2,divide(C_3,D_4))))) = divide(D_4,C_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42]) ).
tff(c_1641,plain,
! [A_9,B_10,C_67,D_66] : ( inverse(inverse(divide(A_9,divide(B_10,divide(inverse(divide(divide(C_67,D_66),B_10)),divide(D_66,C_67)))))) = A_9 ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_1559]) ).
tff(c_124,plain,
! [A_17,B_18,B_19,A_20] : ( divide(inverse(divide(A_17,divide(B_18,divide(inverse(B_19),A_20)))),divide(multiply(A_20,B_19),A_17)) = B_18 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_151,plain,
! [C_3,D_4,A_20,B_18,B_19] : ( divide(inverse(B_18),divide(divide(D_4,C_3),inverse(divide(divide(C_3,D_4),divide(B_18,divide(inverse(B_19),A_20)))))) = multiply(A_20,B_19) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_2]) ).
tff(c_16800,plain,
! [B_262,B_266,A_264,C_265,D_263] : ( divide(inverse(B_262),multiply(divide(D_263,C_265),divide(divide(C_265,D_263),divide(B_262,divide(inverse(B_266),A_264))))) = multiply(A_264,B_266) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_151]) ).
tff(c_17247,plain,
! [D_66,B_262,C_67,B_10,A_264,C_265,D_263,A_9] : ( multiply(A_264,inverse(divide(A_9,divide(B_10,divide(inverse(divide(divide(C_67,D_66),B_10)),divide(D_66,C_67)))))) = divide(inverse(B_262),multiply(divide(D_263,C_265),divide(divide(C_265,D_263),divide(B_262,divide(A_9,A_264))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1641,c_16800]) ).
tff(c_19725,plain,
! [A_285,C_284,A_282,B_283,D_286] : ( multiply(A_282,inverse(divide(A_285,divide(B_283,divide(inverse(divide(divide(C_284,D_286),B_283)),divide(D_286,C_284)))))) = divide(A_282,A_285) ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_17247]) ).
tff(c_20251,plain,
! [A_285,B_6,A_282,A_5,B_283] : ( multiply(A_282,inverse(divide(A_285,divide(B_283,divide(inverse(divide(multiply(A_5,B_6),B_283)),divide(inverse(B_6),A_5)))))) = divide(A_282,A_285) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19725]) ).
tff(c_58,plain,
! [B_6,B_10,C_11,D_12] : ( divide(inverse(divide(inverse(B_6),divide(B_10,divide(C_11,D_12)))),multiply(divide(D_12,C_11),B_6)) = B_10 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_45,plain,
! [B_2,C_3,A_1,B_10,D_4,A_9] : ( divide(inverse(divide(A_9,divide(B_10,divide(divide(divide(D_4,C_3),A_1),inverse(divide(A_1,divide(B_2,divide(C_3,D_4)))))))),divide(B_2,A_9)) = B_10 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16]) ).
tff(c_3585,plain,
! [C_115,A_116,A_117,B_114,D_113,B_112] : ( divide(inverse(divide(A_117,divide(B_112,multiply(divide(divide(D_113,C_115),A_116),divide(A_116,divide(B_114,divide(C_115,D_113))))))),divide(B_114,A_117)) = B_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45]) ).
tff(c_98159,plain,
! [D_648,B_644,C_645,A_647,C_646,B_643] : ( inverse(divide(inverse(divide(C_645,divide(B_643,divide(C_646,D_648)))),divide(B_644,divide(C_645,divide(D_648,C_646))))) = divide(inverse(divide(A_647,B_644)),divide(B_643,A_647)) ),
inference(superposition,[status(thm),theory(equality)],[c_58,c_3585]) ).
tff(c_3946,plain,
! [C_115,C_11,A_117,B_10,B_114,D_113] : ( inverse(divide(inverse(divide(C_11,divide(B_114,divide(C_115,D_113)))),divide(B_10,divide(C_11,divide(D_113,C_115))))) = divide(inverse(divide(A_117,B_10)),divide(B_114,A_117)) ),
inference(superposition,[status(thm),theory(equality)],[c_58,c_3585]) ).
tff(c_101944,plain,
! [A_652,B_650,B_651,A_649] : ( divide(inverse(divide(A_652,B_650)),divide(B_651,A_652)) = divide(inverse(divide(A_649,B_650)),divide(B_651,A_649)) ),
inference(superposition,[status(thm),theory(equality)],[c_98159,c_3946]) ).
tff(c_105688,plain,
! [B_6,B_650,A_5,A_649] : ( divide(inverse(divide(inverse(B_6),B_650)),multiply(A_5,B_6)) = divide(inverse(divide(A_649,B_650)),divide(A_5,A_649)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_101944]) ).
tff(c_182,plain,
! [A_17,B_18,B_19,B_6] : ( divide(inverse(divide(A_17,divide(B_18,multiply(inverse(B_19),B_6)))),divide(multiply(inverse(B_6),B_19),A_17)) = B_18 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_124]) ).
tff(c_607,plain,
! [C_42,D_44,B_43,D_41,C_45] : ( divide(inverse(B_43),multiply(divide(D_44,C_42),divide(divide(C_42,D_44),divide(B_43,divide(C_45,D_41))))) = divide(D_41,C_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42]) ).
tff(c_616,plain,
! [C_42,D_44,B_43,D_41,C_11,B_2,C_45,D_12] : ( divide(multiply(divide(D_44,C_42),divide(divide(C_42,D_44),divide(B_43,divide(C_45,D_41)))),inverse(B_43)) = divide(inverse(B_2),multiply(divide(D_12,C_11),divide(divide(C_11,D_12),divide(B_2,divide(D_41,C_45))))) ),
inference(superposition,[status(thm),theory(equality)],[c_607,c_64]) ).
tff(c_784,plain,
! [C_48,B_46,D_50,C_49,D_47] : ( divide(multiply(divide(D_47,C_49),divide(divide(C_49,D_47),divide(B_46,divide(C_48,D_50)))),inverse(B_46)) = divide(C_48,D_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_616]) ).
tff(c_862,plain,
! [B_6,B_18,B_46,A_17,C_49,D_47,B_19] : ( divide(multiply(divide(D_47,C_49),divide(divide(C_49,D_47),divide(B_46,B_18))),inverse(B_46)) = divide(inverse(divide(A_17,divide(B_18,multiply(inverse(B_19),B_6)))),divide(multiply(inverse(B_6),B_19),A_17)) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_784]) ).
tff(c_986,plain,
! [D_51,C_52,B_53,B_54] : ( divide(multiply(divide(D_51,C_52),divide(divide(C_52,D_51),divide(B_53,B_54))),inverse(B_53)) = B_54 ),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_862]) ).
tff(c_54,plain,
! [A_9,B_10,B_6,A_5] : ( divide(inverse(divide(A_9,divide(B_10,divide(inverse(B_6),A_5)))),divide(multiply(A_5,B_6),A_9)) = B_10 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_1016,plain,
! [B_53,B_10,D_51,C_52,B_54] : ( divide(inverse(divide(inverse(B_53),divide(B_10,divide(inverse(divide(divide(C_52,D_51),divide(B_53,B_54))),divide(D_51,C_52))))),B_54) = B_10 ),
inference(superposition,[status(thm),theory(equality)],[c_986,c_54]) ).
tff(c_1403,plain,
! [B_59,C_3,D_4,D_61,A_63,C_60] : ( divide(inverse(inverse(divide(A_63,divide(B_59,divide(C_60,D_61))))),divide(divide(D_4,C_3),inverse(divide(divide(C_3,D_4),B_59)))) = divide(A_63,divide(D_61,C_60)) ),
inference(superposition,[status(thm),theory(equality)],[c_1298,c_2]) ).
tff(c_1536,plain,
! [B_59,C_3,D_4,D_61,A_63,C_60] : ( divide(inverse(inverse(divide(A_63,divide(B_59,divide(C_60,D_61))))),multiply(divide(D_4,C_3),divide(divide(C_3,D_4),B_59))) = divide(A_63,divide(D_61,C_60)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1403]) ).
tff(c_98398,plain,
! [C_3,D_4,D_648,B_644,C_645,A_647,C_646,B_643] : ( divide(inverse(divide(inverse(divide(A_647,B_644)),divide(B_643,A_647))),multiply(divide(D_4,C_3),divide(divide(C_3,D_4),B_644))) = divide(inverse(divide(C_645,divide(B_643,divide(C_646,D_648)))),divide(divide(D_648,C_646),C_645)) ),
inference(superposition,[status(thm),theory(equality)],[c_98159,c_1536]) ).
tff(c_126729,plain,
! [B_685,B_688,C_689,D_686,A_687] : ( divide(inverse(divide(inverse(divide(A_687,B_685)),divide(B_688,A_687))),multiply(divide(D_686,C_689),divide(divide(C_689,D_686),B_685))) = B_688 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98398]) ).
tff(c_128083,plain,
! [B_53,B_688,B_10,D_51,C_689,C_52,D_686] : ( divide(inverse(B_10),multiply(divide(D_686,C_689),divide(divide(C_689,D_686),divide(B_10,divide(inverse(divide(divide(C_52,D_51),divide(B_53,divide(B_688,inverse(B_53))))),divide(D_51,C_52)))))) = B_688 ),
inference(superposition,[status(thm),theory(equality)],[c_1016,c_126729]) ).
tff(c_129157,plain,
! [D_690,C_691,B_692,B_693] : ( multiply(divide(D_690,C_691),divide(divide(C_691,D_690),divide(B_692,multiply(B_693,B_692)))) = B_693 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64,c_4,c_128083]) ).
tff(c_51,plain,
! [A_9,B_10,A_5,B_6] : ( divide(inverse(divide(A_9,divide(B_10,multiply(A_5,B_6)))),divide(divide(inverse(B_6),A_5),A_9)) = B_10 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_2114,plain,
! [B_80,B_81,D_82,C_83] : ( inverse(divide(inverse(B_80),divide(divide(B_81,multiply(divide(D_82,C_83),B_80)),divide(C_83,D_82)))) = B_81 ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_1298]) ).
tff(c_2278,plain,
! [B_80,B_81,B_6,A_5] : ( inverse(divide(inverse(B_80),divide(divide(B_81,multiply(divide(inverse(B_6),A_5),B_80)),multiply(A_5,B_6)))) = B_81 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2114]) ).
tff(c_129507,plain,
! [B_6,B_693,B_692,B_81,C_691] : ( inverse(divide(inverse(divide(divide(C_691,inverse(B_6)),divide(B_692,multiply(B_693,B_692)))),divide(divide(B_81,B_693),multiply(C_691,B_6)))) = B_81 ),
inference(superposition,[status(thm),theory(equality)],[c_129157,c_2278]) ).
tff(c_159064,plain,
! [B_764,B_765,B_766,B_767] : ( inverse(divide(inverse(divide(inverse(B_764),divide(B_765,multiply(B_766,B_765)))),multiply(divide(B_767,B_766),B_764))) = B_767 ),
inference(demodulation,[status(thm),theory(equality)],[c_105688,c_4,c_129507]) ).
tff(c_159884,plain,
! [A_649,B_765,B_766,B_767] : ( inverse(divide(inverse(divide(A_649,divide(B_765,multiply(B_766,B_765)))),divide(divide(B_767,B_766),A_649))) = B_767 ),
inference(superposition,[status(thm),theory(equality)],[c_105688,c_159064]) ).
tff(c_1512,plain,
! [B_59,B_6,D_61,A_63,C_60] : ( divide(inverse(divide(inverse(B_6),B_59)),multiply(divide(A_63,divide(D_61,C_60)),B_6)) = inverse(divide(A_63,divide(B_59,divide(C_60,D_61)))) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1298]) ).
tff(c_162350,plain,
! [A_772,B_773,D_774,C_775] : ( inverse(inverse(divide(A_772,divide(divide(B_773,multiply(divide(D_774,C_775),B_773)),divide(C_775,D_774))))) = A_772 ),
inference(superposition,[status(thm),theory(equality)],[c_1512,c_159064]) ).
tff(c_171554,plain,
! [C_796,D_797,B_798,B_799] : ( inverse(divide(divide(C_796,D_797),divide(B_798,multiply(multiply(divide(D_797,C_796),B_799),B_798)))) = inverse(B_799) ),
inference(superposition,[status(thm),theory(equality)],[c_159884,c_162350]) ).
tff(c_172633,plain,
! [A_285,B_6,B_798,D_797,C_796,A_5,B_283] : ( inverse(inverse(divide(A_285,divide(B_283,divide(inverse(divide(multiply(A_5,B_6),B_283)),divide(inverse(B_6),A_5)))))) = inverse(divide(divide(C_796,D_797),divide(B_798,multiply(divide(divide(D_797,C_796),A_285),B_798)))) ),
inference(superposition,[status(thm),theory(equality)],[c_20251,c_171554]) ).
tff(c_173288,plain,
! [C_800,D_801,B_802,A_803] : ( inverse(divide(divide(C_800,D_801),divide(B_802,multiply(divide(divide(D_801,C_800),A_803),B_802)))) = A_803 ),
inference(demodulation,[status(thm),theory(equality)],[c_2591,c_172633]) ).
tff(c_174027,plain,
! [A_803,B_802,D_801,C_800] : ( divide(A_803,divide(divide(inverse(B_802),divide(divide(D_801,C_800),A_803)),divide(C_800,D_801))) = B_802 ),
inference(superposition,[status(thm),theory(equality)],[c_173288,c_51]) ).
tff(c_232250,plain,
! [C_906,D_907,B_908,D_909] : ( inverse(divide(divide(C_906,D_907),divide(B_908,divide(multiply(divide(D_907,C_906),D_909),D_909)))) = inverse(inverse(B_908)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_162350]) ).
tff(c_232316,plain,
! [B_908,C_800,D_909,C_906,A_803,D_907,D_801] : ( divide(divide(C_906,D_907),divide(B_908,divide(multiply(divide(D_907,C_906),D_909),D_909))) = divide(A_803,divide(divide(inverse(inverse(B_908)),divide(divide(D_801,C_800),A_803)),divide(C_800,D_801))) ),
inference(superposition,[status(thm),theory(equality)],[c_232250,c_174027]) ).
tff(c_234211,plain,
! [C_910,D_911,B_912,D_913] : ( divide(divide(C_910,D_911),divide(B_912,divide(multiply(divide(D_911,C_910),D_913),D_913))) = inverse(B_912) ),
inference(demodulation,[status(thm),theory(equality)],[c_174027,c_232316]) ).
tff(c_236375,plain,
! [B_6,A_5,B_912,D_913] : ( divide(divide(inverse(B_6),A_5),divide(B_912,divide(multiply(multiply(A_5,B_6),D_913),D_913))) = inverse(B_912) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_234211]) ).
tff(c_3786,plain,
! [C_115,A_116,A_1,A_117,B_114,D_113,B_112] : ( inverse(divide(A_117,divide(B_112,multiply(divide(divide(D_113,C_115),A_116),divide(A_116,divide(B_114,divide(C_115,D_113))))))) = divide(inverse(divide(A_1,B_112)),divide(divide(A_117,B_114),A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_3585,c_2]) ).
tff(c_65,plain,
! [B_2,C_3,A_1,B_10,D_4,A_9] : ( divide(inverse(divide(A_9,divide(B_10,multiply(divide(divide(D_4,C_3),A_1),divide(A_1,divide(B_2,divide(C_3,D_4))))))),divide(B_2,A_9)) = B_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45]) ).
tff(c_299812,plain,
! [A_1010,B_1011,A_1012,B_1013] : ( divide(divide(inverse(divide(A_1010,B_1011)),divide(divide(A_1012,B_1013),A_1010)),divide(B_1013,A_1012)) = B_1011 ),
inference(demodulation,[status(thm),theory(equality)],[c_3786,c_65]) ).
tff(c_129008,plain,
! [D_51,C_52,B_53,B_688] : ( multiply(divide(D_51,C_52),divide(divide(C_52,D_51),divide(B_53,multiply(B_688,B_53)))) = B_688 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_64,c_4,c_128083]) ).
tff(c_300385,plain,
! [B_688,B_1013,A_1010,B_1011] : ( multiply(divide(divide(divide(multiply(B_688,B_1013),B_1013),A_1010),inverse(divide(A_1010,B_1011))),B_1011) = B_688 ),
inference(superposition,[status(thm),theory(equality)],[c_299812,c_129008]) ).
tff(c_305097,plain,
! [B_1018,B_1019,A_1020,B_1021] : ( multiply(multiply(divide(divide(multiply(B_1018,B_1019),B_1019),A_1020),divide(A_1020,B_1021)),B_1021) = B_1018 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_300385]) ).
tff(c_180307,plain,
! [A_818,B_819,D_820,C_821] : ( divide(A_818,divide(divide(inverse(B_819),divide(divide(D_820,C_821),A_818)),divide(C_821,D_820))) = B_819 ),
inference(superposition,[status(thm),theory(equality)],[c_173288,c_51]) ).
tff(c_180318,plain,
! [C_821,D_820,B_819,B_802] : ( divide(divide(C_821,D_820),divide(B_819,divide(divide(divide(D_820,C_821),inverse(B_802)),inverse(B_819)))) = B_802 ),
inference(superposition,[status(thm),theory(equality)],[c_180307,c_174027]) ).
tff(c_182919,plain,
! [C_821,D_820,B_819,B_802] : ( divide(divide(C_821,D_820),divide(B_819,multiply(multiply(divide(D_820,C_821),B_802),B_819))) = B_802 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_180318]) ).
tff(c_311121,plain,
! [A_1030,B_1031,B_1032,B_1033] : ( divide(divide(A_1030,divide(multiply(B_1031,B_1032),B_1032)),divide(B_1033,B_1031)) = divide(A_1030,B_1033) ),
inference(superposition,[status(thm),theory(equality)],[c_305097,c_182919]) ).
tff(c_1717,plain,
! [A_64,B_65,B_6,A_5] : ( inverse(divide(A_64,divide(divide(B_65,divide(divide(inverse(B_6),A_5),A_64)),multiply(A_5,B_6)))) = B_65 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1559]) ).
tff(c_312767,plain,
! [B_6,A_5,B_65,A_1030,B_1032] : ( inverse(divide(A_1030,divide(B_65,divide(divide(inverse(B_6),A_5),divide(A_1030,divide(multiply(multiply(A_5,B_6),B_1032),B_1032)))))) = B_65 ),
inference(superposition,[status(thm),theory(equality)],[c_311121,c_1717]) ).
tff(c_313800,plain,
! [A_1030,B_65] : ( inverse(divide(A_1030,multiply(B_65,A_1030))) = B_65 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_236375,c_312767]) ).
tff(c_197,plain,
! [B_21,B_22,C_23,D_24] : ( divide(inverse(divide(inverse(B_21),divide(B_22,divide(C_23,D_24)))),multiply(divide(D_24,C_23),B_21)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_253,plain,
! [B_6,D_24,C_23,B_10,A_5] : ( divide(inverse(B_10),multiply(divide(D_24,C_23),divide(divide(C_23,D_24),divide(B_10,multiply(A_5,B_6))))) = divide(inverse(B_6),A_5) ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_197]) ).
tff(c_233971,plain,
! [C_906,D_907,B_908,D_909] : ( divide(divide(C_906,D_907),divide(B_908,divide(multiply(divide(D_907,C_906),D_909),D_909))) = inverse(B_908) ),
inference(demodulation,[status(thm),theory(equality)],[c_174027,c_232316]) ).
tff(c_3759,plain,
! [C_115,C_11,A_116,B_114,D_113,D_12,B_112] : ( divide(inverse(B_112),multiply(divide(D_12,C_11),divide(divide(C_11,D_12),divide(B_112,multiply(divide(divide(D_113,C_115),A_116),divide(A_116,divide(B_114,divide(C_115,D_113)))))))) = B_114 ),
inference(superposition,[status(thm),theory(equality)],[c_3585,c_58]) ).
tff(c_311367,plain,
! [C_115,B_1033,C_11,D_113,D_12,B_112,A_1030,B_1032] : ( divide(inverse(B_112),multiply(divide(D_12,C_11),divide(divide(C_11,D_12),divide(B_112,multiply(divide(divide(D_113,C_115),divide(A_1030,divide(multiply(divide(C_115,D_113),B_1032),B_1032))),divide(A_1030,B_1033)))))) = B_1033 ),
inference(superposition,[status(thm),theory(equality)],[c_311121,c_3759]) ).
tff(c_313684,plain,
! [A_1030,B_1033] : ( multiply(inverse(divide(A_1030,B_1033)),A_1030) = B_1033 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_253,c_233971,c_311367]) ).
tff(c_313904,plain,
! [A_1034,B_1035] : ( multiply(inverse(divide(A_1034,B_1035)),A_1034) = B_1035 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_253,c_233971,c_311367]) ).
tff(c_317224,plain,
! [A_1038,B_1039] : ( multiply(inverse(multiply(A_1038,B_1039)),A_1038) = inverse(B_1039) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_313904]) ).
tff(c_327288,plain,
! [B_1057,A_1058] : ( multiply(inverse(B_1057),inverse(divide(A_1058,B_1057))) = inverse(A_1058) ),
inference(superposition,[status(thm),theory(equality)],[c_313684,c_317224]) ).
tff(c_236372,plain,
! [A_5,B_6,B_912,D_913] : ( divide(multiply(A_5,B_6),divide(B_912,divide(multiply(divide(inverse(B_6),A_5),D_913),D_913))) = inverse(B_912) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_234211]) ).
tff(c_312665,plain,
! [A_91,B_90,A_1030,B_1032,A_9] : ( inverse(inverse(divide(A_9,divide(A_1030,inverse(divide(multiply(A_91,B_90),divide(A_1030,divide(multiply(divide(inverse(B_90),A_91),B_1032),B_1032)))))))) = A_9 ),
inference(superposition,[status(thm),theory(equality)],[c_311121,c_2591]) ).
tff(c_324490,plain,
! [A_1052,A_1053] : ( inverse(inverse(divide(A_1052,multiply(A_1053,inverse(A_1053))))) = A_1052 ),
inference(demodulation,[status(thm),theory(equality)],[c_236372,c_4,c_312665]) ).
tff(c_325282,plain,
! [A_5,A_1052,A_1053] : ( multiply(A_5,inverse(divide(A_1052,multiply(A_1053,inverse(A_1053))))) = divide(A_5,A_1052) ),
inference(superposition,[status(thm),theory(equality)],[c_324490,c_4]) ).
tff(c_336336,plain,
! [A_1070,A_1071] : ( divide(inverse(multiply(A_1070,inverse(A_1070))),A_1071) = inverse(A_1071) ),
inference(superposition,[status(thm),theory(equality)],[c_327288,c_325282]) ).
tff(c_101458,plain,
! [C_3,D_4,B_644,A_647,B_643] : ( divide(inverse(divide(inverse(divide(A_647,B_644)),divide(B_643,A_647))),multiply(divide(D_4,C_3),divide(divide(C_3,D_4),B_644))) = B_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_98398]) ).
tff(c_129166,plain,
! [A_647,B_692,B_693,B_643] : ( divide(inverse(divide(inverse(divide(A_647,divide(B_692,multiply(B_693,B_692)))),divide(B_643,A_647))),B_693) = B_643 ),
inference(superposition,[status(thm),theory(equality)],[c_129157,c_101458]) ).
tff(c_337147,plain,
! [A_1070,A_1071,B_692,B_693] : ( inverse(multiply(A_1070,inverse(A_1070))) = divide(inverse(divide(inverse(divide(A_1071,divide(B_692,multiply(B_693,B_692)))),inverse(A_1071))),B_693) ),
inference(superposition,[status(thm),theory(equality)],[c_336336,c_129166]) ).
tff(c_339636,plain,
! [A_1072,B_1073] : ( inverse(multiply(A_1072,inverse(A_1072))) = divide(B_1073,B_1073) ),
inference(demodulation,[status(thm),theory(equality)],[c_313800,c_313684,c_4,c_337147]) ).
tff(c_339291,plain,
! [A_1070,B_693] : ( inverse(multiply(A_1070,inverse(A_1070))) = divide(B_693,B_693) ),
inference(demodulation,[status(thm),theory(equality)],[c_313800,c_313684,c_4,c_337147]) ).
tff(c_343719,plain,
! [B_1075,B_1074] : ( divide(B_1075,B_1075) = divide(B_1074,B_1074) ),
inference(superposition,[status(thm),theory(equality)],[c_339636,c_339291]) ).
tff(c_349065,plain,
! [B_6,B_1075] : ( multiply(inverse(B_6),B_6) = divide(B_1075,B_1075) ),
inference(superposition,[status(thm),theory(equality)],[c_343719,c_4]) ).
tff(c_349134,plain,
! [B_1076,B_1077] : ( multiply(inverse(B_1076),B_1076) = divide(B_1077,B_1077) ),
inference(superposition,[status(thm),theory(equality)],[c_343719,c_4]) ).
tff(c_6,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_405594,plain,
! [B_1165] : ( multiply(inverse(a1),a1) != divide(B_1165,B_1165) ),
inference(superposition,[status(thm),theory(equality)],[c_349134,c_6]) ).
tff(c_405620,plain,
! [B_1165,B_1075] : ( divide(B_1165,B_1165) != divide(B_1075,B_1075) ),
inference(superposition,[status(thm),theory(equality)],[c_349065,c_405594]) ).
tff(c_339643,plain,
! [B_693,B_1073] : ( divide(B_693,B_693) = divide(B_1073,B_1073) ),
inference(superposition,[status(thm),theory(equality)],[c_339636,c_339291]) ).
tff(c_405633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_405620,c_339643]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP469-1 : TPTP v8.1.2. Released v2.6.0.
% 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
% 0.14/0.35 % Computer : n012.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 22:00:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 226.70/119.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 226.92/119.43
% 226.92/119.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 227.08/119.48
% 227.08/119.48 Inference rules
% 227.08/119.48 ----------------------
% 227.08/119.48 #Ref : 0
% 227.08/119.48 #Sup : 109412
% 227.08/119.48 #Fact : 0
% 227.08/119.48 #Define : 0
% 227.08/119.48 #Split : 0
% 227.08/119.48 #Chain : 0
% 227.08/119.48 #Close : 0
% 227.08/119.48
% 227.08/119.48 Ordering : KBO
% 227.08/119.48
% 227.08/119.48 Simplification rules
% 227.08/119.48 ----------------------
% 227.08/119.48 #Subsume : 1108
% 227.08/119.48 #Demod : 87439
% 227.08/119.48 #Tautology : 17870
% 227.08/119.48 #SimpNegUnit : 1
% 227.08/119.48 #BackRed : 134
% 227.08/119.48
% 227.08/119.48 #Partial instantiations: 0
% 227.08/119.48 #Strategies tried : 1
% 227.08/119.48
% 227.08/119.48 Timing (in seconds)
% 227.08/119.48 ----------------------
% 227.08/119.48 Preprocessing : 0.39
% 227.08/119.48 Parsing : 0.20
% 227.08/119.48 CNF conversion : 0.02
% 227.08/119.48 Main loop : 117.99
% 227.08/119.48 Inferencing : 18.65
% 227.08/119.48 Reduction : 76.21
% 227.08/119.48 Demodulation : 72.32
% 227.08/119.48 BG Simplification : 3.16
% 227.08/119.48 Subsumption : 14.95
% 227.08/119.48 Abstraction : 6.79
% 227.08/119.48 MUC search : 0.00
% 227.08/119.48 Cooper : 0.00
% 227.08/119.48 Total : 118.46
% 227.08/119.48 Index Insertion : 0.00
% 227.08/119.48 Index Deletion : 0.00
% 227.08/119.48 Index Matching : 0.00
% 227.08/119.48 BG Taut test : 0.00
%------------------------------------------------------------------------------