TSTP Solution File: GRP587-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP587-1 : 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 : n022.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 10:41:35 EDT 2023
% Result : Unsatisfiable 252.96s 171.94s
% Output : CNFRefutation 252.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 120 ( 114 unt; 6 typ; 0 def)
% Number of atoms : 114 ( 113 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 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 : 277 (; 277 !; 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(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),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(A_1,inverse(double_divide(inverse(double_divide(double_divide(A_1,B_2),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(A_8,multiply(B_9,multiply(inverse(C_10),double_divide(A_8,B_9)))) = 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(B_9,multiply(inverse(C_10),double_divide(A_8,B_9))),A_8) = inverse(C_10) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_7,plain,
! [A_1,B_2,C_3] : ( double_divide(A_1,multiply(B_2,multiply(inverse(C_3),double_divide(A_1,B_2)))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_90,plain,
! [A_18,B_19,C_20,C_21] : ( double_divide(A_18,multiply(multiply(B_19,multiply(inverse(C_20),double_divide(A_18,B_19))),multiply(inverse(C_21),C_20))) = C_21 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_133,plain,
! [C_22,C_23] : ( double_divide(multiply(inverse(C_22),C_23),inverse(C_23)) = C_22 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_90]) ).
tff(c_306,plain,
! [A_32,B_33,C_34] : ( double_divide(multiply(multiply(A_32,B_33),C_34),inverse(C_34)) = double_divide(B_33,A_32) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133]) ).
tff(c_324,plain,
! [C_34,A_32,B_33] : ( multiply(inverse(C_34),multiply(multiply(A_32,B_33),C_34)) = inverse(double_divide(B_33,A_32)) ),
inference(superposition,[status(thm),theory(equality)],[c_306,c_4]) ).
tff(c_419,plain,
! [C_38,A_39,B_40] : ( multiply(inverse(C_38),multiply(multiply(A_39,B_40),C_38)) = multiply(A_39,B_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_324]) ).
tff(c_163,plain,
! [C_24,C_25] : ( multiply(inverse(C_24),multiply(inverse(C_25),C_24)) = inverse(C_25) ),
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_121,plain,
! [C_21,C_10] : ( double_divide(multiply(inverse(C_21),C_10),inverse(C_10)) = C_21 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_90]) ).
tff(c_172,plain,
! [C_25,C_24] : ( double_divide(inverse(C_25),inverse(multiply(inverse(C_25),C_24))) = C_24 ),
inference(superposition,[status(thm),theory(equality)],[c_163,c_121]) ).
tff(c_1038,plain,
! [C_58,A_59,B_60] : ( double_divide(inverse(C_58),inverse(multiply(A_59,B_60))) = multiply(multiply(A_59,B_60),C_58) ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_172]) ).
tff(c_1054,plain,
! [C_58,B_60] : ( multiply(multiply(inverse(C_58),B_60),C_58) = B_60 ),
inference(superposition,[status(thm),theory(equality)],[c_1038,c_172]) ).
tff(c_1113,plain,
! [C_61,B_62] : ( multiply(multiply(inverse(C_61),B_62),C_61) = B_62 ),
inference(superposition,[status(thm),theory(equality)],[c_1038,c_172]) ).
tff(c_344,plain,
! [C_34,A_32,B_33] : ( multiply(inverse(C_34),multiply(multiply(A_32,B_33),C_34)) = multiply(A_32,B_33) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_324]) ).
tff(c_1154,plain,
! [C_61,B_62,C_34] : ( multiply(multiply(inverse(C_61),B_62),C_61) = multiply(inverse(C_34),multiply(B_62,C_34)) ),
inference(superposition,[status(thm),theory(equality)],[c_1113,c_344]) ).
tff(c_1221,plain,
! [C_34,B_62] : ( multiply(inverse(C_34),multiply(B_62,C_34)) = B_62 ),
inference(demodulation,[status(thm),theory(equality)],[c_1054,c_1154]) ).
tff(c_1732,plain,
! [C_77,A_78] : ( multiply(inverse(C_77),double_divide(A_78,inverse(A_78))) = inverse(C_77) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_1113]) ).
tff(c_1826,plain,
! [C_79,A_80] : ( multiply(inverse(C_79),C_79) = double_divide(A_80,inverse(A_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_1732,c_1054]) ).
tff(c_1867,plain,
! [A_80,C_79] : ( multiply(double_divide(A_80,inverse(A_80)),C_79) = C_79 ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_1054]) ).
tff(c_1755,plain,
! [C_77,A_78] : ( multiply(inverse(C_77),C_77) = double_divide(A_78,inverse(A_78)) ),
inference(superposition,[status(thm),theory(equality)],[c_1732,c_1054]) ).
tff(c_160,plain,
! [C_22,B_5,A_4] : ( double_divide(multiply(inverse(C_22),double_divide(B_5,A_4)),multiply(A_4,B_5)) = C_22 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133]) ).
tff(c_1770,plain,
! [C_77,A_78] : ( double_divide(inverse(C_77),multiply(inverse(A_78),A_78)) = C_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1732,c_160]) ).
tff(c_2272,plain,
! [C_89,A_90] : ( double_divide(inverse(C_89),double_divide(A_90,inverse(A_90))) = C_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_1755,c_1770]) ).
tff(c_2302,plain,
! [C_89,A_90,C_3] : ( double_divide(inverse(C_89),multiply(double_divide(A_90,inverse(A_90)),multiply(inverse(C_3),C_89))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_2272,c_7]) ).
tff(c_3208,plain,
! [C_101,C_102] : ( double_divide(inverse(C_101),multiply(inverse(C_102),C_101)) = C_102 ),
inference(demodulation,[status(thm),theory(equality)],[c_1867,c_2302]) ).
tff(c_3296,plain,
! [B_103,C_104] : ( double_divide(inverse(multiply(B_103,C_104)),B_103) = C_104 ),
inference(superposition,[status(thm),theory(equality)],[c_1221,c_3208]) ).
tff(c_195,plain,
! [C_26,C_27] : ( double_divide(inverse(C_26),inverse(multiply(inverse(C_26),C_27))) = C_27 ),
inference(superposition,[status(thm),theory(equality)],[c_163,c_121]) ).
tff(c_230,plain,
! [C_28,C_29] : ( multiply(inverse(multiply(inverse(C_28),C_29)),inverse(C_28)) = inverse(C_29) ),
inference(superposition,[status(thm),theory(equality)],[c_195,c_4]) ).
tff(c_239,plain,
! [C_28,C_29] : ( double_divide(inverse(multiply(inverse(C_28),C_29)),inverse(inverse(C_29))) = inverse(C_28) ),
inference(superposition,[status(thm),theory(equality)],[c_230,c_172]) ).
tff(c_3327,plain,
! [C_104] : ( inverse(inverse(C_104)) = C_104 ),
inference(superposition,[status(thm),theory(equality)],[c_3296,c_239]) ).
tff(c_437,plain,
! [C_38,A_39,B_40] : ( double_divide(inverse(C_38),inverse(multiply(A_39,B_40))) = multiply(multiply(A_39,B_40),C_38) ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_172]) ).
tff(c_1119,plain,
! [C_61,B_62,C_38] : ( multiply(multiply(multiply(inverse(C_61),B_62),C_61),C_38) = double_divide(inverse(C_38),inverse(B_62)) ),
inference(superposition,[status(thm),theory(equality)],[c_1113,c_437]) ).
tff(c_1212,plain,
! [C_38,B_62] : ( double_divide(inverse(C_38),inverse(B_62)) = multiply(B_62,C_38) ),
inference(demodulation,[status(thm),theory(equality)],[c_1054,c_1119]) ).
tff(c_4840,plain,
! [B_125,C_126] : ( multiply(B_125,multiply(inverse(B_125),C_126)) = C_126 ),
inference(superposition,[status(thm),theory(equality)],[c_3296,c_1212]) ).
tff(c_4900,plain,
! [C_58,C_126] : ( multiply(inverse(inverse(C_58)),C_126) = multiply(C_126,C_58) ),
inference(superposition,[status(thm),theory(equality)],[c_4840,c_1054]) ).
tff(c_5014,plain,
! [C_58,C_126] : ( multiply(C_58,C_126) = multiply(C_126,C_58) ),
inference(demodulation,[status(thm),theory(equality)],[c_3327,c_4900]) ).
tff(c_3421,plain,
! [C_105] : ( inverse(inverse(C_105)) = C_105 ),
inference(superposition,[status(thm),theory(equality)],[c_3296,c_239]) ).
tff(c_3541,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_3421]) ).
tff(c_151,plain,
! [C_23,C_22] : ( multiply(inverse(C_23),multiply(inverse(C_22),C_23)) = inverse(C_22) ),
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_440,plain,
! [A_39,B_40,C_38] : ( multiply(inverse(multiply(multiply(A_39,B_40),C_38)),multiply(A_39,B_40)) = inverse(C_38) ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_151]) ).
tff(c_1128,plain,
! [C_61,B_62,C_38] : ( multiply(inverse(multiply(multiply(multiply(inverse(C_61),B_62),C_61),C_38)),B_62) = inverse(C_38) ),
inference(superposition,[status(thm),theory(equality)],[c_1113,c_440]) ).
tff(c_1215,plain,
! [B_62,C_38] : ( multiply(inverse(multiply(B_62,C_38)),B_62) = inverse(C_38) ),
inference(demodulation,[status(thm),theory(equality)],[c_1054,c_1128]) ).
tff(c_17890,plain,
! [B_232,C_233] : ( double_divide(inverse(B_232),inverse(C_233)) = multiply(B_232,C_233) ),
inference(superposition,[status(thm),theory(equality)],[c_1215,c_3208]) ).
tff(c_18055,plain,
! [C_233,B_232] : ( multiply(inverse(C_233),inverse(B_232)) = inverse(multiply(B_232,C_233)) ),
inference(superposition,[status(thm),theory(equality)],[c_17890,c_4]) ).
tff(c_24422,plain,
! [C_258,B_259] : ( multiply(inverse(C_258),inverse(B_259)) = double_divide(C_258,B_259) ),
inference(demodulation,[status(thm),theory(equality)],[c_3541,c_18055]) ).
tff(c_1312,plain,
! [C_65,B_66] : ( multiply(inverse(C_65),multiply(B_66,C_65)) = B_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_1054,c_1154]) ).
tff(c_1390,plain,
! [A_4,B_5,B_66] : ( multiply(multiply(A_4,B_5),multiply(B_66,double_divide(B_5,A_4))) = B_66 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1312]) ).
tff(c_24530,plain,
! [C_258,B_259,B_66] : ( multiply(double_divide(C_258,B_259),multiply(B_66,double_divide(inverse(B_259),inverse(C_258)))) = B_66 ),
inference(superposition,[status(thm),theory(equality)],[c_24422,c_1390]) ).
tff(c_345222,plain,
! [C_1092,B_1093,B_1094] : ( multiply(double_divide(C_1092,B_1093),multiply(B_1094,multiply(C_1092,B_1093))) = B_1094 ),
inference(demodulation,[status(thm),theory(equality)],[c_1212,c_24530]) ).
tff(c_26632,plain,
! [B_270,C_271] : ( multiply(B_270,inverse(C_271)) = double_divide(inverse(B_270),C_271) ),
inference(superposition,[status(thm),theory(equality)],[c_3327,c_17890]) ).
tff(c_27046,plain,
! [B_270,B_5,A_4] : ( double_divide(inverse(B_270),double_divide(B_5,A_4)) = multiply(B_270,multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26632]) ).
tff(c_3281,plain,
! [B_62,C_34] : ( double_divide(inverse(multiply(B_62,C_34)),B_62) = C_34 ),
inference(superposition,[status(thm),theory(equality)],[c_1221,c_3208]) ).
tff(c_3554,plain,
! [C_34,B_62] : ( double_divide(double_divide(C_34,B_62),B_62) = C_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_3541,c_3281]) ).
tff(c_225,plain,
! [B_5,A_4,C_27] : ( double_divide(inverse(double_divide(B_5,A_4)),inverse(multiply(multiply(A_4,B_5),C_27))) = C_27 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_195]) ).
tff(c_229,plain,
! [A_4,B_5,C_27] : ( double_divide(multiply(A_4,B_5),inverse(multiply(multiply(A_4,B_5),C_27))) = C_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_225]) ).
tff(c_1145,plain,
! [B_62,C_61,C_27] : ( double_divide(B_62,inverse(multiply(multiply(multiply(inverse(C_61),B_62),C_61),C_27))) = C_27 ),
inference(superposition,[status(thm),theory(equality)],[c_1113,c_229]) ).
tff(c_1218,plain,
! [B_62,C_27] : ( double_divide(B_62,inverse(multiply(B_62,C_27))) = C_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_1054,c_1145]) ).
tff(c_3819,plain,
! [B_110,C_111] : ( double_divide(B_110,double_divide(C_111,B_110)) = C_111 ),
inference(demodulation,[status(thm),theory(equality)],[c_3541,c_1218]) ).
tff(c_3875,plain,
! [C_34,B_62] : ( double_divide(C_34,B_62) = double_divide(B_62,C_34) ),
inference(superposition,[status(thm),theory(equality)],[c_3554,c_3819]) ).
tff(c_4943,plain,
! [A_8,B_125] : ( multiply(double_divide(A_8,B_125),A_8) = inverse(B_125) ),
inference(superposition,[status(thm),theory(equality)],[c_4840,c_26]) ).
tff(c_38,plain,
! [B_11,C_12,A_13] : ( multiply(multiply(B_11,multiply(inverse(C_12),double_divide(A_13,B_11))),A_13) = inverse(C_12) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_50,plain,
! [B_11,A_4,B_5,A_13] : ( multiply(multiply(B_11,multiply(multiply(A_4,B_5),double_divide(A_13,B_11))),A_13) = inverse(double_divide(B_5,A_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38]) ).
tff(c_53,plain,
! [B_11,A_4,B_5,A_13] : ( multiply(multiply(B_11,multiply(multiply(A_4,B_5),double_divide(A_13,B_11))),A_13) = multiply(A_4,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_50]) ).
tff(c_1138,plain,
! [A_13,B_11,B_62] : ( multiply(inverse(double_divide(A_13,B_11)),B_62) = multiply(multiply(B_11,B_62),A_13) ),
inference(superposition,[status(thm),theory(equality)],[c_1113,c_53]) ).
tff(c_211299,plain,
! [B_795,B_796,A_797] : ( multiply(multiply(B_795,B_796),A_797) = multiply(multiply(B_795,A_797),B_796) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1138]) ).
tff(c_1210,plain,
! [A_4,B_5,B_62] : ( multiply(multiply(multiply(A_4,B_5),B_62),double_divide(B_5,A_4)) = B_62 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1113]) ).
tff(c_213035,plain,
! [B_795,A_797,B_796] : ( multiply(multiply(multiply(B_795,A_797),B_796),double_divide(B_796,B_795)) = A_797 ),
inference(superposition,[status(thm),theory(equality)],[c_211299,c_1210]) ).
tff(c_219383,plain,
! [B_804,A_805,B_806] : ( multiply(multiply(multiply(B_804,A_805),B_806),double_divide(B_806,B_804)) = A_805 ),
inference(superposition,[status(thm),theory(equality)],[c_211299,c_1210]) ).
tff(c_224258,plain,
! [A_813,B_814,B_815] : ( multiply(A_813,double_divide(double_divide(B_814,B_815),multiply(B_815,A_813))) = B_814 ),
inference(superposition,[status(thm),theory(equality)],[c_213035,c_219383]) ).
tff(c_225647,plain,
! [A_8,B_814,B_125] : ( multiply(A_8,double_divide(double_divide(B_814,double_divide(A_8,B_125)),inverse(B_125))) = B_814 ),
inference(superposition,[status(thm),theory(equality)],[c_4943,c_224258]) ).
tff(c_226020,plain,
! [A_8,B_125,B_814] : ( multiply(A_8,multiply(B_125,multiply(double_divide(A_8,B_125),B_814))) = B_814 ),
inference(demodulation,[status(thm),theory(equality)],[c_27046,c_3875,c_225647]) ).
tff(c_345398,plain,
! [C_1092,B_1093,B_1094] : ( multiply(C_1092,multiply(B_1093,B_1094)) = multiply(B_1094,multiply(C_1092,B_1093)) ),
inference(superposition,[status(thm),theory(equality)],[c_345222,c_226020]) ).
tff(c_3287,plain,
! [C_101,A_4,B_5] : ( double_divide(inverse(C_101),multiply(multiply(A_4,B_5),C_101)) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3208]) ).
tff(c_219835,plain,
! [B_806,B_804,A_805] : ( double_divide(inverse(double_divide(B_806,B_804)),A_805) = double_divide(B_806,multiply(B_804,A_805)) ),
inference(superposition,[status(thm),theory(equality)],[c_219383,c_3287]) ).
tff(c_234424,plain,
! [B_830,B_831,A_832] : ( double_divide(multiply(B_830,B_831),A_832) = double_divide(B_831,multiply(B_830,A_832)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_219835]) ).
tff(c_237689,plain,
! [B_840,B_841,A_842] : ( inverse(double_divide(B_840,multiply(B_841,A_842))) = multiply(A_842,multiply(B_841,B_840)) ),
inference(superposition,[status(thm),theory(equality)],[c_234424,c_4]) ).
tff(c_238535,plain,
! [B_841,A_842,B_5] : ( multiply(multiply(B_841,A_842),B_5) = multiply(A_842,multiply(B_841,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237689]) ).
tff(c_1830,plain,
! [A_80,A_78] : ( double_divide(A_80,inverse(A_80)) = double_divide(A_78,inverse(A_78)) ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_1755]) ).
tff(c_19666,plain,
! [B_241,A_242] : ( multiply(B_241,inverse(B_241)) = double_divide(A_242,inverse(A_242)) ),
inference(superposition,[status(thm),theory(equality)],[c_1830,c_17890]) ).
tff(c_1969,plain,
! [A_81,C_82] : ( multiply(double_divide(A_81,inverse(A_81)),C_82) = C_82 ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_1054]) ).
tff(c_2021,plain,
! [C_77,C_82] : ( multiply(multiply(inverse(C_77),C_77),C_82) = C_82 ),
inference(superposition,[status(thm),theory(equality)],[c_1755,c_1969]) ).
tff(c_2334,plain,
! [A_91,C_92] : ( multiply(inverse(A_91),A_91) = inverse(multiply(inverse(C_92),C_92)) ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_4]) ).
tff(c_2435,plain,
! [A_91,B_60,C_92] : ( multiply(multiply(multiply(inverse(A_91),A_91),B_60),multiply(inverse(C_92),C_92)) = B_60 ),
inference(superposition,[status(thm),theory(equality)],[c_2334,c_1054]) ).
tff(c_2581,plain,
! [B_93,C_94] : ( multiply(B_93,multiply(inverse(C_94),C_94)) = B_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2021,c_2435]) ).
tff(c_2742,plain,
! [B_93,A_78] : ( multiply(B_93,double_divide(A_78,inverse(A_78))) = B_93 ),
inference(superposition,[status(thm),theory(equality)],[c_1755,c_2581]) ).
tff(c_14813,plain,
! [A_214,A_213] : ( double_divide(A_214,inverse(A_214)) = double_divide(A_213,inverse(A_213)) ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_1755]) ).
tff(c_15091,plain,
! [A_214,C_3,A_213] : ( double_divide(A_214,multiply(inverse(A_214),multiply(inverse(C_3),double_divide(A_213,inverse(A_213))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_14813,c_7]) ).
tff(c_15231,plain,
! [A_214,C_3] : ( double_divide(A_214,multiply(inverse(A_214),inverse(C_3))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_15091]) ).
tff(c_19682,plain,
! [A_214,A_242] : ( double_divide(A_214,double_divide(A_242,inverse(A_242))) = inverse(A_214) ),
inference(superposition,[status(thm),theory(equality)],[c_19666,c_15231]) ).
tff(c_3720,plain,
! [C_108,B_109] : ( double_divide(double_divide(C_108,B_109),B_109) = C_108 ),
inference(demodulation,[status(thm),theory(equality)],[c_3541,c_3281]) ).
tff(c_3763,plain,
! [B_109,C_108] : ( multiply(B_109,double_divide(C_108,B_109)) = inverse(C_108) ),
inference(superposition,[status(thm),theory(equality)],[c_3720,c_4]) ).
tff(c_35,plain,
! [A_8,B_9,A_4,B_5] : ( double_divide(A_8,multiply(B_9,multiply(multiply(A_4,B_5),double_divide(A_8,B_9)))) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_1177,plain,
! [B_62,A_8,B_9] : ( double_divide(B_62,inverse(double_divide(A_8,B_9))) = double_divide(A_8,multiply(B_9,B_62)) ),
inference(superposition,[status(thm),theory(equality)],[c_1113,c_35]) ).
tff(c_1224,plain,
! [B_62,B_9,A_8] : ( double_divide(B_62,multiply(B_9,A_8)) = double_divide(A_8,multiply(B_9,B_62)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1177]) ).
tff(c_47684,plain,
! [C_382,B_383,A_384] : ( multiply(inverse(C_382),C_382) = double_divide(double_divide(B_383,A_384),multiply(A_384,B_383)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1826]) ).
tff(c_323091,plain,
! [A_1055,B_1056,B_1057,A_1058] : ( multiply(multiply(A_1055,B_1056),double_divide(B_1056,A_1055)) = double_divide(double_divide(B_1057,A_1058),multiply(A_1058,B_1057)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_47684]) ).
tff(c_3514,plain,
! [C_105,C_10] : ( double_divide(multiply(C_105,C_10),inverse(C_10)) = inverse(C_105) ),
inference(superposition,[status(thm),theory(equality)],[c_3421,c_121]) ).
tff(c_226035,plain,
! [A_816,B_817,B_818] : ( multiply(A_816,double_divide(B_817,multiply(B_818,A_816))) = double_divide(B_817,B_818) ),
inference(superposition,[status(thm),theory(equality)],[c_219383,c_1210]) ).
tff(c_157,plain,
! [A_4,B_5,C_23] : ( double_divide(multiply(multiply(A_4,B_5),C_23),inverse(C_23)) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133]) ).
tff(c_227005,plain,
! [B_817,B_818,C_23,A_816] : ( double_divide(multiply(double_divide(B_817,B_818),C_23),inverse(C_23)) = double_divide(double_divide(B_817,multiply(B_818,A_816)),A_816) ),
inference(superposition,[status(thm),theory(equality)],[c_226035,c_157]) ).
tff(c_227756,plain,
! [B_817,B_818,A_816] : ( double_divide(double_divide(B_817,multiply(B_818,A_816)),A_816) = multiply(B_818,B_817) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3514,c_227005]) ).
tff(c_323521,plain,
! [B_1057,B_817,A_1058,B_1056,A_1055] : ( double_divide(double_divide(B_817,double_divide(double_divide(B_1057,A_1058),multiply(A_1058,B_1057))),double_divide(B_1056,A_1055)) = multiply(multiply(A_1055,B_1056),B_817) ),
inference(superposition,[status(thm),theory(equality)],[c_323091,c_227756]) ).
tff(c_325351,plain,
! [B_817,A_1055,B_1056] : ( multiply(B_817,multiply(A_1055,B_1056)) = multiply(B_1056,multiply(A_1055,B_817)) ),
inference(demodulation,[status(thm),theory(equality)],[c_238535,c_27046,c_19682,c_3763,c_1224,c_323521]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_5037,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_5014,c_6]) ).
tff(c_327814,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_325351,c_5037]) ).
tff(c_433761,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_345398,c_327814]) ).
tff(c_433764,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5014,c_433761]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP587-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.14 % 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 : n022.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 22:19:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 252.96/171.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 252.96/171.95
% 252.96/171.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 252.96/172.18
% 252.96/172.18 Inference rules
% 252.96/172.18 ----------------------
% 252.96/172.18 #Ref : 0
% 252.96/172.18 #Sup : 107516
% 252.96/172.18 #Fact : 0
% 252.96/172.18 #Define : 0
% 252.96/172.18 #Split : 0
% 252.96/172.18 #Chain : 0
% 252.96/172.18 #Close : 0
% 252.96/172.18
% 252.96/172.18 Ordering : KBO
% 252.96/172.18
% 252.96/172.18 Simplification rules
% 252.96/172.18 ----------------------
% 252.96/172.18 #Subsume : 14442
% 252.96/172.18 #Demod : 318338
% 252.96/172.18 #Tautology : 23032
% 252.96/172.18 #SimpNegUnit : 0
% 252.96/172.18 #BackRed : 156
% 252.96/172.18
% 252.96/172.18 #Partial instantiations: 0
% 252.96/172.18 #Strategies tried : 1
% 252.96/172.18
% 252.96/172.18 Timing (in seconds)
% 252.96/172.18 ----------------------
% 252.96/172.18 Preprocessing : 0.39
% 252.96/172.18 Parsing : 0.21
% 252.96/172.18 CNF conversion : 0.02
% 252.96/172.18 Main loop : 170.52
% 252.96/172.18 Inferencing : 11.66
% 252.96/172.18 Reduction : 140.20
% 252.96/172.18 Demodulation : 136.47
% 252.96/172.18 BG Simplification : 2.06
% 252.96/172.18 Subsumption : 11.84
% 252.96/172.18 Abstraction : 4.89
% 252.96/172.18 MUC search : 0.00
% 252.96/172.18 Cooper : 0.00
% 252.96/172.18 Total : 171.16
% 252.96/172.18 Index Insertion : 0.00
% 252.96/172.18 Index Deletion : 0.00
% 252.96/172.18 Index Matching : 0.00
% 252.96/172.18 BG Taut test : 0.00
%------------------------------------------------------------------------------