TSTP Solution File: GRP575-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP575-1 : 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 : n028.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 10:41:33 EDT 2023
% Result : Unsatisfiable 80.33s 68.11s
% Output : CNFRefutation 80.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 12
% Syntax : Number of formulae : 140 ( 133 unt; 7 typ; 0 def)
% Number of atoms : 133 ( 132 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 258 (; 258 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > 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(identity,type,
identity: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_4,plain,
! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_28,plain,
! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_65,plain,
! [B_13,A_14] : ( inverse(double_divide(B_13,A_14)) = multiply(A_14,B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_83,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(B_2,double_divide(C_3,A_1)),double_divide(C_3,identity))),double_divide(identity,identity)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_236,plain,
! [A_21,B_22,C_23] : ( double_divide(double_divide(A_21,double_divide(double_divide(B_22,double_divide(C_23,A_21)),inverse(C_23))),inverse(identity)) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_557,plain,
! [B_33,A_34] : ( double_divide(double_divide(identity,double_divide(double_divide(B_33,inverse(A_34)),inverse(A_34))),inverse(identity)) = B_33 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_620,plain,
! [A_35] : ( double_divide(double_divide(identity,double_divide(identity,inverse(A_35))),inverse(identity)) = A_35 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_557]) ).
tff(c_660,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8,c_620]) ).
tff(c_665,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_660]) ).
tff(c_278,plain,
! [B_22,A_6] : ( double_divide(double_divide(identity,double_divide(double_divide(B_22,inverse(A_6)),inverse(A_6))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_669,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm),theory(equality)],[c_665,c_278]) ).
tff(c_693,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_665,c_6,c_8,c_669]) ).
tff(c_90,plain,
! [A_15] : ( inverse(inverse(A_15)) = multiply(identity,A_15) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_52,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
tff(c_99,plain,
! [A_15] : ( multiply(multiply(identity,A_15),inverse(A_15)) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_90,c_57]) ).
tff(c_705,plain,
! [A_15] : ( multiply(multiply(identity,A_15),inverse(A_15)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_693,c_99]) ).
tff(c_37,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_275,plain,
! [B_22,A_4,B_5] : ( double_divide(double_divide(identity,double_divide(double_divide(B_22,multiply(A_4,B_5)),inverse(double_divide(B_5,A_4)))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_236]) ).
tff(c_290,plain,
! [B_22,A_4,B_5] : ( double_divide(double_divide(identity,double_divide(double_divide(B_22,multiply(A_4,B_5)),multiply(A_4,B_5))),inverse(identity)) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_275]) ).
tff(c_1157,plain,
! [B_46,A_47,B_48] : ( multiply(double_divide(double_divide(B_46,multiply(A_47,B_48)),multiply(A_47,B_48)),identity) = B_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_693,c_290]) ).
tff(c_1187,plain,
! [B_46,A_15] : ( multiply(double_divide(double_divide(B_46,identity),multiply(multiply(identity,A_15),inverse(A_15))),identity) = B_46 ),
inference(superposition,[status(thm),theory(equality)],[c_705,c_1157]) ).
tff(c_1229,plain,
! [B_46] : ( multiply(multiply(identity,B_46),identity) = B_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_705,c_6,c_1187]) ).
tff(c_723,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_693,c_8]) ).
tff(c_80,plain,
! [B_5,A_4] : ( multiply(identity,double_divide(B_5,A_4)) = inverse(multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_281,plain,
! [A_7,B_22] : ( double_divide(double_divide(inverse(A_7),double_divide(double_divide(B_22,identity),inverse(A_7))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_429,plain,
! [A_29,B_30] : ( double_divide(double_divide(inverse(A_29),double_divide(inverse(B_30),inverse(A_29))),inverse(identity)) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_281]) ).
tff(c_475,plain,
! [B_30] : ( double_divide(double_divide(inverse(inverse(B_30)),identity),inverse(identity)) = B_30 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_429]) ).
tff(c_484,plain,
! [B_30] : ( double_divide(inverse(multiply(identity,B_30)),inverse(identity)) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_475]) ).
tff(c_994,plain,
! [B_43] : ( double_divide(inverse(multiply(identity,B_43)),identity) = B_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_693,c_484]) ).
tff(c_46,plain,
! [A_6] : ( double_divide(inverse(A_6),identity) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_1009,plain,
! [B_43] : ( multiply(identity,multiply(identity,B_43)) = B_43 ),
inference(superposition,[status(thm),theory(equality)],[c_994,c_46]) ).
tff(c_1241,plain,
! [B_49] : ( multiply(multiply(identity,B_49),identity) = B_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_705,c_6,c_1187]) ).
tff(c_1259,plain,
! [B_43] : ( multiply(identity,B_43) = multiply(B_43,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1009,c_1241]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(B_2,double_divide(C_3,A_1)),inverse(C_3))),inverse(identity)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_254,plain,
! [B_22,B_2,A_1,C_3] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(B_22,B_2),inverse(double_divide(A_1,double_divide(double_divide(B_2,double_divide(C_3,A_1)),inverse(C_3)))))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_236]) ).
tff(c_285,plain,
! [B_22,B_2,C_3,A_1] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(B_22,B_2),multiply(double_divide(double_divide(B_2,double_divide(C_3,A_1)),inverse(C_3)),A_1))),inverse(identity)) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_254]) ).
tff(c_1453,plain,
! [B_52,C_53,A_54,B_55] : ( inverse(multiply(multiply(double_divide(double_divide(B_52,double_divide(C_53,A_54)),inverse(C_53)),A_54),double_divide(B_55,B_52))) = B_55 ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_1259,c_37,c_6,c_693,c_693,c_285]) ).
tff(c_1518,plain,
! [B_52,B_55] : ( inverse(multiply(multiply(double_divide(double_divide(B_52,identity),inverse(identity)),identity),double_divide(B_55,B_52))) = B_55 ),
inference(superposition,[status(thm),theory(equality)],[c_723,c_1453]) ).
tff(c_2520,plain,
! [B_66,B_67] : ( inverse(multiply(B_66,double_divide(B_67,B_66))) = B_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_1229,c_83,c_6,c_693,c_6,c_1518]) ).
tff(c_2615,plain,
! [A_4,B_5] : ( inverse(multiply(identity,multiply(A_4,B_5))) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2520]) ).
tff(c_1365,plain,
! [B_51] : ( multiply(identity,B_51) = multiply(B_51,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1009,c_1241]) ).
tff(c_1401,plain,
! [B_51] : ( multiply(identity,multiply(B_51,identity)) = B_51 ),
inference(superposition,[status(thm),theory(equality)],[c_1365,c_1009]) ).
tff(c_3535,plain,
! [A_79,B_80] : ( inverse(multiply(identity,multiply(A_79,B_80))) = double_divide(B_80,A_79) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2520]) ).
tff(c_3682,plain,
! [B_81] : ( double_divide(identity,B_81) = inverse(B_81) ),
inference(superposition,[status(thm),theory(equality)],[c_1401,c_3535]) ).
tff(c_1575,plain,
! [B_52,B_55] : ( inverse(multiply(B_52,double_divide(B_55,B_52))) = B_55 ),
inference(demodulation,[status(thm),theory(equality)],[c_1229,c_83,c_6,c_693,c_6,c_1518]) ).
tff(c_3767,plain,
! [B_82] : ( inverse(multiply(B_82,inverse(B_82))) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_3682,c_1575]) ).
tff(c_3691,plain,
! [B_81] : ( inverse(multiply(B_81,inverse(B_81))) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_3682,c_1575]) ).
tff(c_3770,plain,
! [B_82] : ( inverse(multiply(multiply(B_82,inverse(B_82)),identity)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_3767,c_3691]) ).
tff(c_3890,plain,
! [B_83] : ( double_divide(inverse(B_83),B_83) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_2615,c_1259,c_3770]) ).
tff(c_471,plain,
! [B_10,A_11,B_30] : ( double_divide(double_divide(inverse(double_divide(B_10,A_11)),double_divide(inverse(B_30),multiply(A_11,B_10))),inverse(identity)) = B_30 ),
inference(superposition,[status(thm),theory(equality)],[c_37,c_429]) ).
tff(c_483,plain,
! [A_11,B_10,B_30] : ( double_divide(double_divide(multiply(A_11,B_10),double_divide(inverse(B_30),multiply(A_11,B_10))),inverse(identity)) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_471]) ).
tff(c_3109,plain,
! [B_30,A_11,B_10] : ( multiply(double_divide(inverse(B_30),multiply(A_11,B_10)),multiply(A_11,B_10)) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_693,c_483]) ).
tff(c_3110,plain,
! [B_73,A_74,B_75] : ( multiply(double_divide(inverse(B_73),multiply(A_74,B_75)),multiply(A_74,B_75)) = B_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_693,c_483]) ).
tff(c_3113,plain,
! [B_30,B_73,A_74,B_75] : ( multiply(double_divide(inverse(B_30),B_73),multiply(double_divide(inverse(B_73),multiply(A_74,B_75)),multiply(A_74,B_75))) = B_30 ),
inference(superposition,[status(thm),theory(equality)],[c_3110,c_3109]) ).
tff(c_3272,plain,
! [B_30,B_73] : ( multiply(double_divide(inverse(B_30),B_73),B_73) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_3109,c_3113]) ).
tff(c_3895,plain,
! [B_83] : ( multiply(identity,B_83) = B_83 ),
inference(superposition,[status(thm),theory(equality)],[c_3890,c_3272]) ).
tff(c_1018,plain,
! [B_43] : ( inverse(inverse(multiply(identity,B_43))) = B_43 ),
inference(superposition,[status(thm),theory(equality)],[c_994,c_6]) ).
tff(c_4018,plain,
! [B_43] : ( inverse(inverse(B_43)) = B_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_3895,c_1018]) ).
tff(c_3619,plain,
! [B_51] : ( double_divide(identity,B_51) = inverse(B_51) ),
inference(superposition,[status(thm),theory(equality)],[c_1401,c_3535]) ).
tff(c_2581,plain,
! [B_66,B_67] : ( double_divide(multiply(B_66,double_divide(B_67,B_66)),B_67) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_2520,c_8]) ).
tff(c_248,plain,
! [A_21,B_22,C_23] : ( multiply(inverse(identity),double_divide(A_21,double_divide(double_divide(B_22,double_divide(C_23,A_21)),inverse(C_23)))) = inverse(B_22) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_37]) ).
tff(c_4720,plain,
! [A_94,B_95,C_96] : ( double_divide(A_94,double_divide(double_divide(B_95,double_divide(C_96,A_94)),inverse(C_96))) = inverse(B_95) ),
inference(demodulation,[status(thm),theory(equality)],[c_3895,c_693,c_248]) ).
tff(c_4816,plain,
! [B_66,C_96,A_94] : ( inverse(multiply(B_66,double_divide(double_divide(C_96,A_94),B_66))) = double_divide(A_94,double_divide(identity,inverse(C_96))) ),
inference(superposition,[status(thm),theory(equality)],[c_2581,c_4720]) ).
tff(c_5246,plain,
! [C_102,A_103] : ( double_divide(C_102,A_103) = double_divide(A_103,C_102) ),
inference(demodulation,[status(thm),theory(equality)],[c_4018,c_3619,c_1575,c_4816]) ).
tff(c_5463,plain,
! [C_104,A_105] : ( double_divide(double_divide(C_104,A_105),identity) = multiply(C_104,A_105) ),
inference(superposition,[status(thm),theory(equality)],[c_5246,c_4]) ).
tff(c_5561,plain,
! [B_5,A_4] : ( multiply(B_5,A_4) = multiply(A_4,B_5) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_5463]) ).
tff(c_4015,plain,
! [B_43] : ( multiply(B_43,identity) = B_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_3895,c_1259]) ).
tff(c_702,plain,
! [B_30] : ( double_divide(inverse(multiply(identity,B_30)),identity) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_693,c_484]) ).
tff(c_1404,plain,
! [B_51] : ( double_divide(inverse(multiply(B_51,identity)),identity) = B_51 ),
inference(superposition,[status(thm),theory(equality)],[c_1365,c_702]) ).
tff(c_4621,plain,
! [B_93] : ( double_divide(inverse(B_93),identity) = B_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_4015,c_1404]) ).
tff(c_4674,plain,
! [B_52,B_55] : ( multiply(B_52,double_divide(B_55,B_52)) = double_divide(B_55,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1575,c_4621]) ).
tff(c_4706,plain,
! [B_52,B_55] : ( multiply(B_52,double_divide(B_55,B_52)) = inverse(B_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4674]) ).
tff(c_4831,plain,
! [A_94,B_95] : ( double_divide(A_94,double_divide(double_divide(B_95,double_divide(identity,A_94)),identity)) = inverse(B_95) ),
inference(superposition,[status(thm),theory(equality)],[c_693,c_4720]) ).
tff(c_11320,plain,
! [A_177,B_178] : ( double_divide(A_177,multiply(inverse(A_177),B_178)) = inverse(B_178) ),
inference(demodulation,[status(thm),theory(equality)],[c_3619,c_37,c_6,c_4831]) ).
tff(c_12631,plain,
! [B_189,B_190] : ( double_divide(inverse(B_189),multiply(B_189,B_190)) = inverse(B_190) ),
inference(superposition,[status(thm),theory(equality)],[c_4018,c_11320]) ).
tff(c_12809,plain,
! [B_52,B_55] : ( double_divide(inverse(B_52),inverse(B_55)) = inverse(double_divide(B_55,B_52)) ),
inference(superposition,[status(thm),theory(equality)],[c_4706,c_12631]) ).
tff(c_12895,plain,
! [B_52,B_55] : ( double_divide(inverse(B_52),inverse(B_55)) = multiply(B_52,B_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_12809]) ).
tff(c_4865,plain,
! [C_96,A_94] : ( double_divide(C_96,A_94) = double_divide(A_94,C_96) ),
inference(demodulation,[status(thm),theory(equality)],[c_4018,c_3619,c_1575,c_4816]) ).
tff(c_269,plain,
! [A_21,B_22,A_6] : ( double_divide(double_divide(A_21,double_divide(double_divide(B_22,double_divide(inverse(A_6),A_21)),multiply(identity,A_6))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_236]) ).
tff(c_17578,plain,
! [A_227,A_228,B_229] : ( multiply(A_227,double_divide(A_228,double_divide(B_229,double_divide(inverse(A_228),A_227)))) = B_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_5561,c_4865,c_3895,c_37,c_6,c_693,c_269]) ).
tff(c_6917,plain,
! [B_126,B_127] : ( multiply(B_126,double_divide(B_127,B_126)) = inverse(B_127) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4674]) ).
tff(c_6963,plain,
! [C_96,A_94] : ( multiply(C_96,double_divide(C_96,A_94)) = inverse(A_94) ),
inference(superposition,[status(thm),theory(equality)],[c_4865,c_6917]) ).
tff(c_11432,plain,
! [A_177,B_178] : ( multiply(multiply(inverse(A_177),B_178),A_177) = inverse(inverse(B_178)) ),
inference(superposition,[status(thm),theory(equality)],[c_11320,c_37]) ).
tff(c_11571,plain,
! [A_179,B_180] : ( multiply(multiply(inverse(A_179),B_180),A_179) = B_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_4018,c_11432]) ).
tff(c_11669,plain,
! [A_94,A_179] : ( multiply(inverse(A_94),A_179) = double_divide(inverse(A_179),A_94) ),
inference(superposition,[status(thm),theory(equality)],[c_6963,c_11571]) ).
tff(c_17598,plain,
! [A_228,B_229,A_94] : ( double_divide(inverse(double_divide(A_228,double_divide(B_229,double_divide(inverse(A_228),inverse(A_94))))),A_94) = B_229 ),
inference(superposition,[status(thm),theory(equality)],[c_17578,c_11669]) ).
tff(c_35907,plain,
! [A_337,A_338,B_339] : ( double_divide(A_337,multiply(A_338,double_divide(B_339,multiply(A_338,A_337)))) = B_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_12895,c_5561,c_4865,c_37,c_17598]) ).
tff(c_4135,plain,
! [B_85] : ( multiply(B_85,identity) = B_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_3895,c_1259]) ).
tff(c_1156,plain,
! [B_22,A_4,B_5] : ( multiply(double_divide(double_divide(B_22,multiply(A_4,B_5)),multiply(A_4,B_5)),identity) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_693,c_290]) ).
tff(c_4156,plain,
! [B_22,B_85] : ( multiply(double_divide(double_divide(B_22,multiply(B_85,identity)),B_85),identity) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_4135,c_1156]) ).
tff(c_4193,plain,
! [B_22,B_85] : ( double_divide(double_divide(B_22,B_85),B_85) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_4015,c_4015,c_4156]) ).
tff(c_3314,plain,
! [B_76,B_77] : ( multiply(double_divide(inverse(B_76),B_77),B_77) = B_76 ),
inference(demodulation,[status(thm),theory(equality)],[c_3109,c_3113]) ).
tff(c_20817,plain,
! [A_249,B_250,B_251] : ( multiply(double_divide(multiply(A_249,B_250),B_251),B_251) = double_divide(B_250,A_249) ),
inference(superposition,[status(thm),theory(equality)],[c_37,c_3314]) ).
tff(c_22766,plain,
! [C_263,A_264,B_265] : ( multiply(double_divide(C_263,multiply(A_264,B_265)),C_263) = double_divide(B_265,A_264) ),
inference(superposition,[status(thm),theory(equality)],[c_4865,c_20817]) ).
tff(c_23048,plain,
! [B_22,A_264,B_265] : ( multiply(B_22,double_divide(B_22,multiply(A_264,B_265))) = double_divide(B_265,A_264) ),
inference(superposition,[status(thm),theory(equality)],[c_4193,c_22766]) ).
tff(c_189903,plain,
! [B_723,A_724,A_725] : ( double_divide(double_divide(B_723,multiply(A_724,A_725)),A_724) = multiply(A_725,B_723) ),
inference(superposition,[status(thm),theory(equality)],[c_35907,c_23048]) ).
tff(c_3592,plain,
! [A_79,B_80] : ( double_divide(multiply(identity,multiply(A_79,B_80)),double_divide(B_80,A_79)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_3535,c_8]) ).
tff(c_4450,plain,
! [A_79,B_80] : ( double_divide(multiply(A_79,B_80),double_divide(B_80,A_79)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_3895,c_3592]) ).
tff(c_4788,plain,
! [A_79,B_80] : ( double_divide(A_79,double_divide(identity,inverse(B_80))) = inverse(multiply(A_79,B_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_4450,c_4720]) ).
tff(c_7291,plain,
! [A_131,B_132] : ( inverse(multiply(A_131,B_132)) = double_divide(A_131,B_132) ),
inference(demodulation,[status(thm),theory(equality)],[c_4018,c_3619,c_4788]) ).
tff(c_21839,plain,
! [A_256,B_257,B_258] : ( multiply(double_divide(double_divide(A_256,B_257),B_258),B_258) = multiply(A_256,B_257) ),
inference(superposition,[status(thm),theory(equality)],[c_7291,c_3272]) ).
tff(c_22050,plain,
! [A_4,A_256,B_257] : ( multiply(A_4,double_divide(double_divide(A_256,B_257),A_4)) = multiply(A_256,B_257) ),
inference(superposition,[status(thm),theory(equality)],[c_5561,c_21839]) ).
tff(c_190396,plain,
! [B_723,A_724,A_725] : ( multiply(B_723,multiply(A_724,A_725)) = multiply(A_724,multiply(A_725,B_723)) ),
inference(superposition,[status(thm),theory(equality)],[c_189903,c_22050]) ).
tff(c_5261,plain,
! [C_102,A_103] : ( double_divide(double_divide(C_102,A_103),C_102) = A_103 ),
inference(superposition,[status(thm),theory(equality)],[c_5246,c_4193]) ).
tff(c_12715,plain,
! [B_190,B_189] : ( double_divide(inverse(B_190),inverse(B_189)) = multiply(B_189,B_190) ),
inference(superposition,[status(thm),theory(equality)],[c_12631,c_5261]) ).
tff(c_316,plain,
! [B_25,A_26] : ( multiply(identity,double_divide(B_25,A_26)) = inverse(multiply(A_26,B_25)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_334,plain,
! [A_1,B_2,C_3] : ( inverse(multiply(inverse(identity),double_divide(A_1,double_divide(double_divide(B_2,double_divide(C_3,A_1)),inverse(C_3))))) = multiply(identity,B_2) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_316]) ).
tff(c_17928,plain,
! [A_230,C_231,B_232] : ( multiply(A_230,double_divide(inverse(C_231),double_divide(B_232,double_divide(C_231,A_230)))) = B_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_5561,c_4865,c_3895,c_37,c_3895,c_693,c_334]) ).
tff(c_18039,plain,
! [B_189,B_190,B_232] : ( multiply(inverse(B_189),double_divide(inverse(inverse(B_190)),double_divide(B_232,multiply(B_189,B_190)))) = B_232 ),
inference(superposition,[status(thm),theory(equality)],[c_12715,c_17928]) ).
tff(c_43557,plain,
! [B_370,B_371,B_372] : ( double_divide(B_370,multiply(B_371,double_divide(B_372,multiply(B_370,B_371)))) = B_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_5561,c_4865,c_37,c_11669,c_4018,c_18039]) ).
tff(c_165243,plain,
! [B_669,B_670,A_671] : ( double_divide(multiply(B_669,B_670),A_671) = double_divide(B_669,multiply(B_670,A_671)) ),
inference(superposition,[status(thm),theory(equality)],[c_5261,c_43557]) ).
tff(c_166447,plain,
! [B_672,B_673,A_674] : ( double_divide(double_divide(B_672,multiply(B_673,A_674)),identity) = multiply(A_674,multiply(B_672,B_673)) ),
inference(superposition,[status(thm),theory(equality)],[c_165243,c_4]) ).
tff(c_167342,plain,
! [B_673,A_674,B_5] : ( multiply(multiply(B_673,A_674),B_5) = multiply(A_674,multiply(B_5,B_673)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_166447]) ).
tff(c_11726,plain,
! [A_11,B_10,B_180] : ( multiply(multiply(multiply(A_11,B_10),B_180),double_divide(B_10,A_11)) = B_180 ),
inference(superposition,[status(thm),theory(equality)],[c_37,c_11571]) ).
tff(c_22083,plain,
! [C_96,A_256,B_257] : ( multiply(double_divide(C_96,double_divide(A_256,B_257)),C_96) = multiply(A_256,B_257) ),
inference(superposition,[status(thm),theory(equality)],[c_4865,c_21839]) ).
tff(c_4858,plain,
! [A_79,B_80] : ( inverse(multiply(A_79,B_80)) = double_divide(A_79,B_80) ),
inference(demodulation,[status(thm),theory(equality)],[c_4018,c_3619,c_4788]) ).
tff(c_25760,plain,
! [A_284,B_285,B_286] : ( multiply(multiply(double_divide(A_284,B_285),B_286),multiply(A_284,B_285)) = B_286 ),
inference(superposition,[status(thm),theory(equality)],[c_4858,c_11571]) ).
tff(c_48051,plain,
! [A_388,B_389,C_390] : ( multiply(multiply(A_388,B_389),multiply(C_390,double_divide(A_388,B_389))) = C_390 ),
inference(superposition,[status(thm),theory(equality)],[c_22083,c_25760]) ).
tff(c_48422,plain,
! [B_10,A_11,B_180] : ( multiply(multiply(B_10,A_11),B_180) = multiply(multiply(A_11,B_10),B_180) ),
inference(superposition,[status(thm),theory(equality)],[c_11726,c_48051]) ).
tff(c_182499,plain,
! [B_10,B_180,A_11] : ( multiply(B_10,multiply(B_180,A_11)) = multiply(A_11,multiply(B_180,B_10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_167342,c_167342,c_48422]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_6015,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_5561,c_10]) ).
tff(c_182502,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_182499,c_6015]) ).
tff(c_289918,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5561,c_190396,c_182502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP575-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:33:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 80.33/68.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 80.33/68.13
% 80.33/68.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 80.33/68.18
% 80.33/68.18 Inference rules
% 80.33/68.18 ----------------------
% 80.33/68.18 #Ref : 0
% 80.33/68.18 #Sup : 74364
% 80.33/68.18 #Fact : 0
% 80.33/68.18 #Define : 0
% 80.33/68.18 #Split : 0
% 80.33/68.18 #Chain : 0
% 80.33/68.18 #Close : 0
% 80.33/68.18
% 80.33/68.18 Ordering : KBO
% 80.33/68.18
% 80.33/68.18 Simplification rules
% 80.33/68.18 ----------------------
% 80.33/68.18 #Subsume : 6102
% 80.33/68.18 #Demod : 138927
% 80.33/68.18 #Tautology : 27662
% 80.33/68.18 #SimpNegUnit : 0
% 80.33/68.18 #BackRed : 114
% 80.33/68.18
% 80.33/68.18 #Partial instantiations: 0
% 80.33/68.18 #Strategies tried : 1
% 80.33/68.18
% 80.33/68.18 Timing (in seconds)
% 80.33/68.18 ----------------------
% 80.33/68.18 Preprocessing : 0.41
% 80.33/68.18 Parsing : 0.22
% 80.33/68.19 CNF conversion : 0.02
% 80.33/68.19 Main loop : 66.66
% 80.33/68.19 Inferencing : 4.37
% 80.33/68.19 Reduction : 47.95
% 80.33/68.19 Demodulation : 46.43
% 80.33/68.19 BG Simplification : 0.62
% 80.33/68.19 Subsumption : 7.71
% 80.33/68.19 Abstraction : 1.21
% 80.33/68.19 MUC search : 0.00
% 80.33/68.19 Cooper : 0.00
% 80.33/68.19 Total : 67.15
% 80.33/68.19 Index Insertion : 0.00
% 80.33/68.19 Index Deletion : 0.00
% 80.33/68.19 Index Matching : 0.00
% 80.33/68.19 BG Taut test : 0.00
%------------------------------------------------------------------------------