TSTP Solution File: GRP368-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n017.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 10:41:05 EDT 2023
% Result : Unsatisfiable 10.91s 3.72s
% Output : CNFRefutation 11.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 41
% Syntax : Number of formulae : 518 ( 424 unt; 10 typ; 0 def)
% Number of atoms : 673 ( 646 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 351 ( 186 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 237 (; 237 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c3,sk_c5) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X2,X3,X4,X1] :
( ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( multiply(sk_c7,X2) != sk_c6 )
| ( multiply(X3,sk_c7) != X2 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X4,sk_c5) != sk_c7 )
| ( inverse(X4) != sk_c5 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c3,sk_c5) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c3,sk_c5) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_12790,plain,
! [X_211,Y_212,Z_213] : ( multiply(multiply(X_211,Y_212),Z_213) = multiply(X_211,multiply(Y_212,Z_213)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12823,plain,
! [X_2,Z_213] : ( multiply(inverse(X_2),multiply(X_2,Z_213)) = multiply(identity,Z_213) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12790]) ).
tff(c_13442,plain,
! [X_229,Z_230] : ( multiply(inverse(X_229),multiply(X_229,Z_230)) = Z_230 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12823]) ).
tff(c_12834,plain,
! [X_2,Z_213] : ( multiply(inverse(X_2),multiply(X_2,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12823]) ).
tff(c_13577,plain,
! [X_232,Z_233] : ( multiply(inverse(inverse(X_232)),Z_233) = multiply(X_232,Z_233) ),
inference(superposition,[status(thm),theory(equality)],[c_13442,c_12834]) ).
tff(c_13472,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13442]) ).
tff(c_13584,plain,
! [X_232] : ( multiply(X_232,identity) = X_232 ),
inference(superposition,[status(thm),theory(equality)],[c_13577,c_13472]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c3) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_85,plain,
inverse(sk_c3) = sk_c5,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_89,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_12236,plain,
! [X_197,Y_198,Z_199] : ( multiply(multiply(X_197,Y_198),Z_199) = multiply(X_197,multiply(Y_198,Z_199)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12275,plain,
! [X_2,Z_199] : ( multiply(inverse(X_2),multiply(X_2,Z_199)) = multiply(identity,Z_199) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12236]) ).
tff(c_12363,plain,
! [X_204,Z_205] : ( multiply(inverse(X_204),multiply(X_204,Z_205)) = Z_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12275]) ).
tff(c_12432,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_12363]) ).
tff(c_11010,plain,
! [X_165,Y_166,Z_167] : ( multiply(multiply(X_165,Y_166),Z_167) = multiply(X_165,multiply(Y_166,Z_167)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11049,plain,
! [X_2,Z_167] : ( multiply(inverse(X_2),multiply(X_2,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11010]) ).
tff(c_11125,plain,
! [X_171,Z_172] : ( multiply(inverse(X_171),multiply(X_171,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11049]) ).
tff(c_11191,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_11125]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_112,plain,
multiply(sk_c1,sk_c7) = sk_c2,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_40,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_9138,plain,
! [X_125,Y_126,Z_127] : ( multiply(multiply(X_125,Y_126),Z_127) = multiply(X_125,multiply(Y_126,Z_127)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9174,plain,
! [Z_127] : ( multiply(sk_c7,multiply(sk_c1,Z_127)) = multiply(identity,Z_127) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9138]) ).
tff(c_9194,plain,
! [Z_128] : ( multiply(sk_c7,multiply(sk_c1,Z_128)) = Z_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9174]) ).
tff(c_9206,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_9194]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c3,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_117,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_8218,plain,
! [X_108,Y_109,Z_110] : ( multiply(multiply(X_108,Y_109),Z_110) = multiply(X_108,multiply(Y_109,Z_110)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8260,plain,
! [Z_110] : ( multiply(sk_c5,multiply(sk_c3,Z_110)) = multiply(identity,Z_110) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_8218]) ).
tff(c_8301,plain,
! [Z_112] : ( multiply(sk_c5,multiply(sk_c3,Z_112)) = Z_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8260]) ).
tff(c_8313,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_117,c_8301]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_123,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_8320,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8313,c_123]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_133,plain,
multiply(sk_c7,sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_153,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_180,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_153]) ).
tff(c_198,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_198]) ).
tff(c_214,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_210]) ).
tff(c_218,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_117]) ).
tff(c_186,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153]) ).
tff(c_290,plain,
! [X_16,Z_17] : ( multiply(inverse(X_16),multiply(X_16,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_308,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_218,c_290]) ).
tff(c_339,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_308]) ).
tff(c_196,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_388,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_339,c_196]) ).
tff(c_394,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_388]) ).
tff(c_332,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_290]) ).
tff(c_619,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_290]) ).
tff(c_653,plain,
! [X_2] : ( multiply(X_2,identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_332,c_619]) ).
tff(c_217,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_123]) ).
tff(c_384,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_339,c_217]) ).
tff(c_412,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_384]) ).
tff(c_220,plain,
multiply(sk_c6,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_102]) ).
tff(c_400,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_220]) ).
tff(c_486,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_412,c_400]) ).
tff(c_221,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_98]) ).
tff(c_401,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_221]) ).
tff(c_464,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_412,c_401]) ).
tff(c_487,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_486,c_464]) ).
tff(c_68,plain,
! [X1_9,X4_8,X3_7] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_7,sk_c7)) != sk_c6 )
| ( multiply(sk_c5,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_240,plain,
! [X1_9,X4_8,X3_7] :
( ( multiply(X1_9,sk_c6) != sk_c6 )
| ( inverse(X1_9) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c6 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c6) != sk_c5 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(sk_c6,multiply(X3_7,sk_c6)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_68]) ).
tff(c_241,plain,
multiply(sk_c5,sk_c6) != sk_c6,
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241,c_217]) ).
tff(c_266,plain,
! [X3_7,X4_8,X1_9] :
( ( multiply(sk_c6,sk_c6) != sk_c5 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(sk_c6,multiply(X3_7,sk_c6)) != sk_c6 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c6 )
| ( multiply(X1_9,sk_c6) != sk_c6 )
| ( inverse(X1_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_8152,plain,
! [X3_7,X4_8,X1_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_8) != identity )
| ( identity != X4_8 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_653,c_394,c_394,c_653,c_412,c_394,c_412,c_653,c_394,c_394,c_2,c_394,c_394,c_412,c_394,c_2,c_394,c_487,c_412,c_394,c_412,c_394,c_2,c_394,c_266]) ).
tff(c_8154,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8152]) ).
tff(c_8156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8154,c_487]) ).
tff(c_8157,plain,
! [X4_8,X3_7] :
( ( inverse(X4_8) != identity )
| ( identity != X4_8 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_8152]) ).
tff(c_8159,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8157]) ).
tff(c_8161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8159,c_487]) ).
tff(c_8164,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8157]) ).
tff(c_8166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8164,c_487]) ).
tff(c_8168,plain,
multiply(sk_c7,sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_20,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_8182,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_8168,c_20]) ).
tff(c_8333,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8320,c_8182]) ).
tff(c_8263,plain,
! [X_2,Z_110] : ( multiply(inverse(X_2),multiply(X_2,Z_110)) = multiply(identity,Z_110) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8218]) ).
tff(c_8518,plain,
! [X_116,Z_117] : ( multiply(inverse(X_116),multiply(X_116,Z_117)) = Z_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8263]) ).
tff(c_8563,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_89,c_8518]) ).
tff(c_8581,plain,
multiply(sk_c5,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_8333,c_8563]) ).
tff(c_8186,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8182,c_4]) ).
tff(c_8332,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8320,c_8186]) ).
tff(c_8242,plain,
! [Z_110] : ( multiply(sk_c5,multiply(sk_c6,Z_110)) = multiply(identity,Z_110) ),
inference(superposition,[status(thm),theory(equality)],[c_8186,c_8218]) ).
tff(c_8271,plain,
! [Z_110] : ( multiply(sk_c5,multiply(sk_c6,Z_110)) = Z_110 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8242]) ).
tff(c_8447,plain,
! [Z_115] : ( multiply(sk_c5,multiply(sk_c5,Z_115)) = Z_115 ),
inference(demodulation,[status(thm),theory(equality)],[c_8320,c_8271]) ).
tff(c_8468,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8313,c_8447]) ).
tff(c_8480,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8332,c_8468]) ).
tff(c_8492,plain,
multiply(sk_c3,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8480,c_117]) ).
tff(c_8275,plain,
! [X_2,Z_110] : ( multiply(inverse(X_2),multiply(X_2,Z_110)) = Z_110 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8263]) ).
tff(c_8610,plain,
multiply(inverse(sk_c3),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_8492,c_8275]) ).
tff(c_8619,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_8581,c_85,c_8610]) ).
tff(c_8257,plain,
! [Z_110] : ( multiply(sk_c7,multiply(sk_c1,Z_110)) = multiply(identity,Z_110) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_8218]) ).
tff(c_8277,plain,
! [Z_111] : ( multiply(sk_c7,multiply(sk_c1,Z_111)) = Z_111 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8257]) ).
tff(c_8289,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_8277]) ).
tff(c_8293,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8289,c_8168]) ).
tff(c_8328,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8320,c_8293]) ).
tff(c_8486,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8480,c_8328]) ).
tff(c_8643,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8619,c_8486]) ).
tff(c_8167,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_8491,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8480,c_8167]) ).
tff(c_8506,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8491,c_4]) ).
tff(c_8626,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_8506,c_8275]) ).
tff(c_8638,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8626]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_8208,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8168,c_26]) ).
tff(c_8329,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_8320,c_8208]) ).
tff(c_8483,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8480,c_8329]) ).
tff(c_8782,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8638,c_8619,c_8483]) ).
tff(c_8783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8643,c_8782]) ).
tff(c_8785,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_10,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_8803,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_8785,c_10]) ).
tff(c_8807,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8803,c_4]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_8817,plain,
multiply(sk_c7,sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_8845,plain,
! [X_119,Y_120,Z_121] : ( multiply(multiply(X_119,Y_120),Z_121) = multiply(X_119,multiply(Y_120,Z_121)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8884,plain,
! [Z_121] : ( multiply(sk_c7,multiply(sk_c1,Z_121)) = multiply(identity,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_8845]) ).
tff(c_8904,plain,
! [Z_122] : ( multiply(sk_c7,multiply(sk_c1,Z_122)) = Z_122 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8884]) ).
tff(c_8916,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_8904]) ).
tff(c_8920,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8817,c_8916]) ).
tff(c_8927,plain,
multiply(sk_c5,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8920,c_8785]) ).
tff(c_8933,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_8807,c_8927]) ).
tff(c_12,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_8831,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_8785,c_12]) ).
tff(c_8923,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8920,c_8831]) ).
tff(c_8890,plain,
! [X_2,Z_121] : ( multiply(inverse(X_2),multiply(X_2,Z_121)) = multiply(identity,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8845]) ).
tff(c_9013,plain,
! [X_123,Z_124] : ( multiply(inverse(X_123),multiply(X_123,Z_124)) = Z_124 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8890]) ).
tff(c_9031,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_8923,c_9013]) ).
tff(c_9083,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9031]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_8838,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_8785,c_8]) ).
tff(c_8922,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8920,c_8838]) ).
tff(c_8784,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_8928,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8920,c_8784]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_8822,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8785,c_16]) ).
tff(c_8924,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8920,c_8822]) ).
tff(c_9040,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_8924,c_9013]) ).
tff(c_9086,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8922,c_8928,c_9040]) ).
tff(c_9108,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9083,c_9086]) ).
tff(c_9109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8933,c_9108]) ).
tff(c_9111,plain,
multiply(sk_c7,sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_9210,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9206,c_9111]) ).
tff(c_9177,plain,
! [Z_127] : ( multiply(sk_c5,multiply(sk_c3,Z_127)) = multiply(identity,Z_127) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_9138]) ).
tff(c_9220,plain,
! [Z_129] : ( multiply(sk_c5,multiply(sk_c3,Z_129)) = Z_129 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9177]) ).
tff(c_9232,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_117,c_9220]) ).
tff(c_9244,plain,
! [Z_130] : ( multiply(sk_c3,multiply(sk_c5,Z_130)) = multiply(sk_c7,Z_130) ),
inference(superposition,[status(thm),theory(equality)],[c_117,c_9138]) ).
tff(c_9259,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_9232,c_9244]) ).
tff(c_9272,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_9259]) ).
tff(c_9112,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_8785,c_16]) ).
tff(c_9180,plain,
! [X_2,Z_127] : ( multiply(inverse(X_2),multiply(X_2,Z_127)) = multiply(identity,Z_127) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9138]) ).
tff(c_9318,plain,
! [X_132,Z_133] : ( multiply(inverse(X_132),multiply(X_132,Z_133)) = Z_133 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9180]) ).
tff(c_9372,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9112,c_9318]) ).
tff(c_9417,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9272,c_8784,c_9372]) ).
tff(c_9419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9210,c_9417]) ).
tff(c_9421,plain,
multiply(sk_c3,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_50,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_9436,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9421,c_50]) ).
tff(c_11428,plain,
! [X_175] : ( multiply(inverse(inverse(X_175)),identity) = X_175 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11125]) ).
tff(c_11443,plain,
multiply(inverse(sk_c5),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9436,c_11428]) ).
tff(c_11450,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11191,c_11443]) ).
tff(c_9440,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9436,c_4]) ).
tff(c_9460,plain,
multiply(sk_c7,sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_9487,plain,
! [X_134,Y_135,Z_136] : ( multiply(multiply(X_134,Y_135),Z_136) = multiply(X_134,multiply(Y_135,Z_136)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9526,plain,
! [Z_136] : ( multiply(sk_c7,multiply(sk_c1,Z_136)) = multiply(identity,Z_136) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9487]) ).
tff(c_9546,plain,
! [Z_137] : ( multiply(sk_c7,multiply(sk_c1,Z_137)) = Z_137 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9526]) ).
tff(c_9558,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_9546]) ).
tff(c_9562,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9460,c_9558]) ).
tff(c_9455,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_9568,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9562,c_9455]) ).
tff(c_9575,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9440,c_9568]) ).
tff(c_9574,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9562,c_98]) ).
tff(c_9767,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9575,c_9574]) ).
tff(c_9774,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9767,c_4]) ).
tff(c_9532,plain,
! [X_2,Z_136] : ( multiply(inverse(X_2),multiply(X_2,Z_136)) = multiply(identity,Z_136) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9487]) ).
tff(c_9544,plain,
! [X_2,Z_136] : ( multiply(inverse(X_2),multiply(X_2,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9532]) ).
tff(c_9792,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_9774,c_9544]) ).
tff(c_9804,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9792]) ).
tff(c_9808,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9804,c_9767]) ).
tff(c_9582,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9575,c_9436]) ).
tff(c_9827,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9808,c_9582]) ).
tff(c_9580,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9575,c_9562]) ).
tff(c_9514,plain,
! [Z_136] : ( multiply(sk_c5,multiply(sk_c7,Z_136)) = multiply(sk_c6,Z_136) ),
inference(superposition,[status(thm),theory(equality)],[c_9455,c_9487]) ).
tff(c_9841,plain,
! [Z_142] : ( multiply(sk_c5,Z_142) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9580,c_2,c_9575,c_9514]) ).
tff(c_9853,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_9841,c_89]) ).
tff(c_9570,plain,
multiply(sk_c3,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9562,c_9421]) ).
tff(c_9916,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9827,c_2,c_9853,c_9575,c_9570]) ).
tff(c_9918,plain,
multiply(sk_c7,sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_9924,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9918,c_18]) ).
tff(c_9917,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_9420,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_9425,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9420,c_4]) ).
tff(c_9944,plain,
! [X_143,Y_144,Z_145] : ( multiply(multiply(X_143,Y_144),Z_145) = multiply(X_143,multiply(Y_144,Z_145)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9974,plain,
! [Z_145] : ( multiply(sk_c7,multiply(sk_c4,Z_145)) = multiply(identity,Z_145) ),
inference(superposition,[status(thm),theory(equality)],[c_9425,c_9944]) ).
tff(c_10331,plain,
! [Z_154] : ( multiply(sk_c7,multiply(sk_c4,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9974]) ).
tff(c_10343,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9917,c_10331]) ).
tff(c_10354,plain,
! [Z_155] : ( multiply(sk_c5,multiply(sk_c7,Z_155)) = multiply(sk_c6,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_9455,c_9944]) ).
tff(c_10366,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_10343,c_10354]) ).
tff(c_10388,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9440,c_9924,c_10366]) ).
tff(c_10399,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10388,c_89]) ).
tff(c_10451,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_10399,c_2]) ).
tff(c_10398,plain,
multiply(sk_c3,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10388,c_9421]) ).
tff(c_10483,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10451,c_10398]) ).
tff(c_10396,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10388,c_9440]) ).
tff(c_10490,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_10396,c_2]) ).
tff(c_10395,plain,
multiply(identity,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10388,c_9455]) ).
tff(c_10611,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10490,c_10395]) ).
tff(c_9986,plain,
! [X_2,Z_145] : ( multiply(inverse(X_2),multiply(X_2,Z_145)) = multiply(identity,Z_145) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9944]) ).
tff(c_9998,plain,
! [X_2,Z_145] : ( multiply(inverse(X_2),multiply(X_2,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9986]) ).
tff(c_10615,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10611,c_9998]) ).
tff(c_10627,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10615]) ).
tff(c_10629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10483,c_10627]) ).
tff(c_10630,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_11043,plain,
! [Z_167] : ( multiply(sk_c7,multiply(sk_c1,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_11010]) ).
tff(c_11063,plain,
! [Z_168] : ( multiply(sk_c7,multiply(sk_c1,Z_168)) = Z_168 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11043]) ).
tff(c_11075,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_11063]) ).
tff(c_11152,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_11075,c_11125]) ).
tff(c_11204,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11152]) ).
tff(c_11040,plain,
! [Z_167] : ( multiply(sk_c1,multiply(sk_c7,Z_167)) = multiply(sk_c2,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_11010]) ).
tff(c_11339,plain,
! [Z_174] : ( multiply(sk_c1,multiply(sk_c7,Z_174)) = Z_174 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11204,c_11040]) ).
tff(c_11366,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10630,c_11339]) ).
tff(c_11185,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_11125]) ).
tff(c_11176,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_9425,c_11125]) ).
tff(c_11313,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11185,c_11176]) ).
tff(c_10636,plain,
multiply(sk_c7,sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_10662,plain,
! [X_158,Y_159,Z_160] : ( multiply(multiply(X_158,Y_159),Z_160) = multiply(X_158,multiply(Y_159,Z_160)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10698,plain,
! [Z_160] : ( multiply(sk_c7,multiply(sk_c1,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_10662]) ).
tff(c_10718,plain,
! [Z_161] : ( multiply(sk_c7,multiply(sk_c1,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10698]) ).
tff(c_10730,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_10718]) ).
tff(c_10734,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10636,c_10730]) ).
tff(c_10631,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_10739,plain,
multiply(sk_c5,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10734,c_10631]) ).
tff(c_10747,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9440,c_10739]) ).
tff(c_10642,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10631,c_8]) ).
tff(c_10737,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10734,c_10642]) ).
tff(c_10743,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10734,c_9420]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_10647,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9421,c_56]) ).
tff(c_10736,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10734,c_10647]) ).
tff(c_10704,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = multiply(identity,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10662]) ).
tff(c_10716,plain,
! [X_2,Z_160] : ( multiply(inverse(X_2),multiply(X_2,Z_160)) = Z_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10704]) ).
tff(c_10871,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10736,c_10716]) ).
tff(c_10877,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10737,c_10743,c_10871]) ).
tff(c_10753,plain,
! [X1_9,X4_8,X3_7] :
( ( multiply(X1_9,sk_c6) != sk_c6 )
| ( inverse(X1_9) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c5 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(sk_c6,multiply(X3_7,sk_c6)) != sk_c6 )
| ( sk_c6 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9440,c_10734,c_10734,c_10734,c_10734,c_10734,c_10734,c_9436,c_10734,c_10734,c_10734,c_68]) ).
tff(c_10754,plain,
sk_c6 != identity,
inference(splitLeft,[status(thm)],[c_10753]) ).
tff(c_10885,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10877,c_10754]) ).
tff(c_10740,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10734,c_10630]) ).
tff(c_10965,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10877,c_10877,c_10740]) ).
tff(c_10972,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10965,c_10716]) ).
tff(c_10978,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10972]) ).
tff(c_10980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10885,c_10978]) ).
tff(c_10982,plain,
sk_c6 = identity,
inference(splitRight,[status(thm)],[c_10753]) ).
tff(c_10983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10747,c_10982]) ).
tff(c_10984,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_11314,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11313,c_10984]) ).
tff(c_11394,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11366,c_11314]) ).
tff(c_11420,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11394,c_10630]) ).
tff(c_11489,plain,
multiply(sk_c5,sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11450,c_11420]) ).
tff(c_11419,plain,
multiply(sk_c5,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11394,c_10631]) ).
tff(c_11534,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_11450,c_11419]) ).
tff(c_11536,plain,
multiply(sk_c1,sk_c7) != sk_c2,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_30,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_11552,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11536,c_30]) ).
tff(c_12525,plain,
! [X_208] : ( multiply(inverse(inverse(X_208)),identity) = X_208 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12363]) ).
tff(c_12540,plain,
multiply(inverse(sk_c5),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11552,c_12525]) ).
tff(c_12553,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12432,c_12540]) ).
tff(c_12199,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_28,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_11582,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11536,c_28]) ).
tff(c_11556,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11552,c_4]) ).
tff(c_11603,plain,
! [X_177,Y_178,Z_179] : ( multiply(multiply(X_177,Y_178),Z_179) = multiply(X_177,multiply(Y_178,Z_179)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11633,plain,
! [Z_179] : ( multiply(sk_c5,multiply(sk_c6,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_11556,c_11603]) ).
tff(c_11972,plain,
! [Z_192] : ( multiply(sk_c5,multiply(sk_c6,Z_192)) = Z_192 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11633]) ).
tff(c_11984,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11582,c_11972]) ).
tff(c_11535,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_11595,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11536,c_36]) ).
tff(c_11540,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11535,c_4]) ).
tff(c_11636,plain,
! [Z_179] : ( multiply(sk_c7,multiply(sk_c4,Z_179)) = multiply(identity,Z_179) ),
inference(superposition,[status(thm),theory(equality)],[c_11540,c_11603]) ).
tff(c_11711,plain,
! [Z_183] : ( multiply(sk_c7,multiply(sk_c4,Z_183)) = Z_183 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11636]) ).
tff(c_11723,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11595,c_11711]) ).
tff(c_11576,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_11772,plain,
! [Z_185] : ( multiply(sk_c5,multiply(sk_c7,Z_185)) = multiply(sk_c6,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_11576,c_11603]) ).
tff(c_11784,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_11723,c_11772]) ).
tff(c_11806,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11582,c_11556,c_11784]) ).
tff(c_11688,plain,
! [Z_182] : ( multiply(sk_c5,multiply(sk_c6,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11633]) ).
tff(c_11700,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11582,c_11688]) ).
tff(c_11811,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_11806,c_11806,c_11700]) ).
tff(c_11821,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11811]) ).
tff(c_32,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_11589,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11536,c_32]) ).
tff(c_11673,plain,
! [X1_9,X4_8,X3_7] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_7,sk_c7)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11576,c_11582,c_11552,c_11589,c_68]) ).
tff(c_11734,plain,
! [X3_184] :
( ( inverse(X3_184) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_184,sk_c7)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_11673]) ).
tff(c_11752,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_11582,c_11734]) ).
tff(c_11769,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11589,c_11552,c_11752]) ).
tff(c_11810,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11806,c_11769]) ).
tff(c_11850,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11821,c_11810]) ).
tff(c_11851,plain,
! [X4_8,X1_9] :
( ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_11673]) ).
tff(c_11925,plain,
! [X1_190] :
( ( multiply(X1_190,sk_c6) != sk_c7 )
| ( inverse(X1_190) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_11851]) ).
tff(c_11932,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11595,c_11925]) ).
tff(c_11947,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11535,c_11932]) ).
tff(c_11948,plain,
! [X4_8] :
( ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_11851]) ).
tff(c_12013,plain,
inverse(sk_c5) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11984,c_11948]) ).
tff(c_11988,plain,
! [X4_193] :
( ( inverse(X4_193) != sk_c5 )
| ( multiply(X4_193,sk_c5) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_11851]) ).
tff(c_11999,plain,
( ( inverse(inverse(sk_c5)) != sk_c5 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11988]) ).
tff(c_12017,plain,
sk_c7 != identity,
inference(splitLeft,[status(thm)],[c_11999]) ).
tff(c_11949,plain,
! [Z_191] : ( multiply(sk_c7,multiply(sk_c4,Z_191)) = Z_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11636]) ).
tff(c_11961,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11595,c_11949]) ).
tff(c_12109,plain,
! [Z_196] : ( multiply(sk_c5,multiply(sk_c7,Z_196)) = multiply(sk_c6,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_11576,c_11603]) ).
tff(c_12124,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_11961,c_12109]) ).
tff(c_12146,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11556,c_11582,c_12124]) ).
tff(c_12152,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12146,c_12146,c_11984]) ).
tff(c_12163,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12152]) ).
tff(c_12165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12017,c_12163]) ).
tff(c_12167,plain,
sk_c7 = identity,
inference(splitRight,[status(thm)],[c_11999]) ).
tff(c_12176,plain,
multiply(identity,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12167,c_11589]) ).
tff(c_12186,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12176]) ).
tff(c_12194,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12186,c_11552]) ).
tff(c_12196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12013,c_12194]) ).
tff(c_12198,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12209,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12199,c_12198]) ).
tff(c_12211,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_12562,plain,
multiply(sk_c5,sk_c7) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12553,c_12211]) ).
tff(c_12197,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12263,plain,
! [Z_199] : ( multiply(sk_c5,multiply(sk_c6,Z_199)) = multiply(identity,Z_199) ),
inference(superposition,[status(thm),theory(equality)],[c_11556,c_12236]) ).
tff(c_12317,plain,
! [Z_202] : ( multiply(sk_c5,multiply(sk_c6,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12263]) ).
tff(c_12329,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12197,c_12317]) ).
tff(c_12210,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_12561,plain,
multiply(sk_c7,sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12553,c_12210]) ).
tff(c_12257,plain,
! [Z_199] : ( multiply(sk_c6,multiply(sk_c7,Z_199)) = multiply(sk_c5,Z_199) ),
inference(superposition,[status(thm),theory(equality)],[c_12197,c_12236]) ).
tff(c_12609,plain,
! [Z_199] : ( multiply(sk_c3,multiply(sk_c7,Z_199)) = multiply(sk_c5,Z_199) ),
inference(demodulation,[status(thm),theory(equality)],[c_12553,c_12257]) ).
tff(c_12642,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c3,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_12561,c_12609]) ).
tff(c_12651,plain,
multiply(sk_c3,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12329,c_12642]) ).
tff(c_12287,plain,
! [X_2,Z_199] : ( multiply(inverse(X_2),multiply(X_2,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12275]) ).
tff(c_12715,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_12651,c_12287]) ).
tff(c_12724,plain,
multiply(sk_c5,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_12715]) ).
tff(c_12726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12562,c_12724]) ).
tff(c_12727,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_12732,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12727,c_4]) ).
tff(c_12728,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_38,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_12773,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12728,c_38]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_12754,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12728,c_46]) ).
tff(c_44,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_12740,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12728,c_44]) ).
tff(c_12744,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12740,c_4]) ).
tff(c_12814,plain,
! [Z_213] : ( multiply(sk_c7,multiply(sk_c4,Z_213)) = multiply(identity,Z_213) ),
inference(superposition,[status(thm),theory(equality)],[c_12744,c_12790]) ).
tff(c_12836,plain,
! [Z_214] : ( multiply(sk_c7,multiply(sk_c4,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12814]) ).
tff(c_12848,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12754,c_12836]) ).
tff(c_42,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_12759,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12728,c_42]) ).
tff(c_12860,plain,
! [X1_9,X4_8,X3_7] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_7,sk_c7)) != sk_c6 )
| ( multiply(sk_c5,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12773,c_12727,c_12759,c_68]) ).
tff(c_12861,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_12860]) ).
tff(c_12817,plain,
! [Z_213] : ( multiply(sk_c5,multiply(sk_c6,Z_213)) = multiply(identity,Z_213) ),
inference(superposition,[status(thm),theory(equality)],[c_12732,c_12790]) ).
tff(c_12862,plain,
! [Z_215] : ( multiply(sk_c5,multiply(sk_c6,Z_215)) = Z_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12817]) ).
tff(c_12874,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12773,c_12862]) ).
tff(c_13057,plain,
! [Z_221] : ( multiply(sk_c6,multiply(sk_c7,Z_221)) = multiply(sk_c5,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_12773,c_12790]) ).
tff(c_13087,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_12759,c_13057]) ).
tff(c_13096,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12874,c_13087]) ).
tff(c_13100,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13096,c_12834]) ).
tff(c_13112,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12727,c_13100]) ).
tff(c_13114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12861,c_13112]) ).
tff(c_13116,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_12860]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13140,plain,
! [Z_223] : ( multiply(sk_c5,multiply(sk_c7,Z_223)) = multiply(sk_c6,Z_223) ),
inference(superposition,[status(thm),theory(equality)],[c_13116,c_6]) ).
tff(c_13152,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_12848,c_13140]) ).
tff(c_13165,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12732,c_12773,c_13152]) ).
tff(c_13124,plain,
! [Z_222] : ( multiply(sk_c5,multiply(sk_c6,Z_222)) = Z_222 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12817]) ).
tff(c_13136,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12773,c_13124]) ).
tff(c_13203,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13165,c_2,c_13165,c_13136]) ).
tff(c_13204,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13203,c_13203,c_12848]) ).
tff(c_13210,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13204]) ).
tff(c_13173,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13165,c_12727]) ).
tff(c_13218,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13210,c_13173]) ).
tff(c_13264,plain,
! [X_224,Z_225] : ( multiply(inverse(X_224),multiply(X_224,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12823]) ).
tff(c_13336,plain,
! [X_226] : ( multiply(inverse(inverse(X_226)),identity) = X_226 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13264]) ).
tff(c_13342,plain,
! [X_226] : ( multiply(inverse(inverse(inverse(X_226))),X_226) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_13336,c_12834]) ).
tff(c_13115,plain,
! [X3_7,X4_8,X1_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_7,sk_c7)) != sk_c6 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_12860]) ).
tff(c_13215,plain,
! [X3_7,X4_8,X1_9] :
( ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c6 )
| ( inverse(X4_8) != identity )
| ( multiply(X4_8,identity) != identity )
| ( multiply(X1_9,sk_c6) != identity )
| ( inverse(X1_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13203,c_13203,c_13203,c_13165,c_13165,c_13203,c_2,c_13203,c_13203,c_13115]) ).
tff(c_13216,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c6) != identity )
| ( inverse(X1_9) != identity ) ),
inference(splitLeft,[status(thm)],[c_13215]) ).
tff(c_13395,plain,
! [X1_228] :
( ( multiply(X1_228,identity) != identity )
| ( inverse(X1_228) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13210,c_13216]) ).
tff(c_13399,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_13342,c_13395]) ).
tff(c_13418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13218,c_13218,c_13218,c_13218,c_13399]) ).
tff(c_13419,plain,
! [X4_8,X3_7] :
( ( inverse(X4_8) != identity )
| ( multiply(X4_8,identity) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_13215]) ).
tff(c_23880,plain,
! [X4_8,X3_7] :
( ( inverse(X4_8) != identity )
| ( identity != X4_8 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13584,c_13210,c_13584,c_13419]) ).
tff(c_23882,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23880]) ).
tff(c_13421,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13210,c_13173]) ).
tff(c_23884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23882,c_13421]) ).
tff(c_23886,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_23880]) ).
tff(c_23888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23886,c_13421]) ).
tff(c_23890,plain,
inverse(sk_c3) != sk_c5,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_60,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_23898,plain,
inverse(sk_c3) = sk_c5,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_23899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23890,c_23898]) ).
tff(c_23900,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_23905,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23900,c_4]) ).
tff(c_58,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c3) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_23939,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_23890,c_58]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_23934,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_23890,c_66]) ).
tff(c_23889,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_23894,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23889,c_4]) ).
tff(c_23968,plain,
! [X_339,Y_340,Z_341] : ( multiply(multiply(X_339,Y_340),Z_341) = multiply(X_339,multiply(Y_340,Z_341)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23998,plain,
! [Z_341] : ( multiply(sk_c7,multiply(sk_c4,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_23894,c_23968]) ).
tff(c_24543,plain,
! [Z_353] : ( multiply(sk_c7,multiply(sk_c4,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23998]) ).
tff(c_24555,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23934,c_24543]) ).
tff(c_62,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_23946,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_23890,c_62]) ).
tff(c_24001,plain,
! [X_2,Z_341] : ( multiply(inverse(X_2),multiply(X_2,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23968]) ).
tff(c_24076,plain,
! [X_345,Z_346] : ( multiply(inverse(X_345),multiply(X_345,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24001]) ).
tff(c_24112,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_23946,c_24076]) ).
tff(c_24040,plain,
! [Z_343] : ( multiply(sk_c7,multiply(sk_c4,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23998]) ).
tff(c_24052,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23934,c_24040]) ).
tff(c_24097,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_24052,c_24076]) ).
tff(c_24267,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24112,c_24097]) ).
tff(c_23995,plain,
! [Z_341] : ( multiply(sk_c5,multiply(sk_c6,Z_341)) = multiply(identity,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_23905,c_23968]) ).
tff(c_24014,plain,
! [Z_342] : ( multiply(sk_c5,multiply(sk_c6,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23995]) ).
tff(c_24026,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23939,c_24014]) ).
tff(c_24103,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_24026,c_24076]) ).
tff(c_24268,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24267,c_24103]) ).
tff(c_24280,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24268]) ).
tff(c_24127,plain,
multiply(inverse(sk_c5),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23905,c_24076]) ).
tff(c_24318,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24280,c_24127]) ).
tff(c_24324,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24318]) ).
tff(c_24031,plain,
! [X1_9,X4_8,X3_7] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_7,sk_c7)) != sk_c6 )
| ( multiply(sk_c5,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23939,c_23900,c_23946,c_68]) ).
tff(c_24032,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_24031]) ).
tff(c_24275,plain,
multiply(sk_c5,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24267,c_24032]) ).
tff(c_24407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24324,c_24280,c_2,c_24280,c_24275]) ).
tff(c_24409,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_24031]) ).
tff(c_24566,plain,
! [Z_354] : ( multiply(sk_c5,multiply(sk_c7,Z_354)) = multiply(sk_c6,Z_354) ),
inference(superposition,[status(thm),theory(equality)],[c_24409,c_6]) ).
tff(c_24578,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_24555,c_24566]) ).
tff(c_24594,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23905,c_23939,c_24578]) ).
tff(c_24597,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24594,c_24594,c_24026]) ).
tff(c_24605,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24597]) ).
tff(c_24610,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24605,c_24605,c_24555]) ).
tff(c_24617,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24610]) ).
tff(c_24603,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24594,c_23900]) ).
tff(c_24626,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24617,c_24603]) ).
tff(c_24869,plain,
! [X_360,Z_361] : ( multiply(inverse(X_360),multiply(X_360,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24001]) ).
tff(c_24941,plain,
! [X_362] : ( multiply(inverse(inverse(X_362)),identity) = X_362 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24869]) ).
tff(c_24012,plain,
! [X_2,Z_341] : ( multiply(inverse(X_2),multiply(X_2,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24001]) ).
tff(c_24947,plain,
! [X_362] : ( multiply(inverse(inverse(inverse(X_362))),X_362) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_24941,c_24012]) ).
tff(c_24678,plain,
! [X_355,Z_356] : ( multiply(inverse(X_355),multiply(X_355,Z_356)) = Z_356 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24001]) ).
tff(c_24748,plain,
! [X_357] : ( multiply(inverse(inverse(X_357)),identity) = X_357 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_24678]) ).
tff(c_24754,plain,
! [X_357] : ( multiply(inverse(inverse(inverse(X_357))),X_357) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_24748,c_24012]) ).
tff(c_24425,plain,
! [Z_350] : ( multiply(sk_c7,multiply(sk_c4,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23998]) ).
tff(c_24437,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_23934,c_24425]) ).
tff(c_24448,plain,
! [Z_351] : ( multiply(sk_c5,multiply(sk_c7,Z_351)) = multiply(sk_c6,Z_351) ),
inference(superposition,[status(thm),theory(equality)],[c_24409,c_6]) ).
tff(c_24460,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_24437,c_24448]) ).
tff(c_24476,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23905,c_23939,c_24460]) ).
tff(c_24479,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_24476,c_24476,c_24026]) ).
tff(c_24487,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24479]) ).
tff(c_24492,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24487,c_24487,c_24437]) ).
tff(c_24499,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24492]) ).
tff(c_24485,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24476,c_23900]) ).
tff(c_24508,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24499,c_24485]) ).
tff(c_24408,plain,
! [X3_7,X4_8,X1_9] :
( ( inverse(X3_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_7,sk_c7)) != sk_c6 )
| ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_24031]) ).
tff(c_24417,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_24408]) ).
tff(c_24518,plain,
! [X1_352] :
( ( multiply(X1_352,identity) != identity )
| ( inverse(X1_352) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24487,c_24499,c_24487,c_24417]) ).
tff(c_24526,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_24518]) ).
tff(c_24534,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24508,c_24508,c_24526]) ).
tff(c_24535,plain,
! [X4_8,X3_7] :
( ( inverse(X4_8) != sk_c5 )
| ( multiply(X4_8,sk_c5) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_7,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_24408]) ).
tff(c_24635,plain,
! [X4_8,X3_7] :
( ( inverse(X4_8) != identity )
| ( multiply(X4_8,identity) != identity )
| ( inverse(X3_7) != identity )
| ( multiply(X3_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24617,c_24605,c_2,c_24605,c_24605,c_24605,c_24594,c_24594,c_24535]) ).
tff(c_24805,plain,
! [X3_359] :
( ( inverse(X3_359) != identity )
| ( multiply(X3_359,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_24635]) ).
tff(c_24809,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_24754,c_24805]) ).
tff(c_24828,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24626,c_24626,c_24626,c_24626,c_24809]) ).
tff(c_24999,plain,
! [X4_364] :
( ( inverse(X4_364) != identity )
| ( multiply(X4_364,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_24635]) ).
tff(c_25003,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_24947,c_24999]) ).
tff(c_25022,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24626,c_24626,c_24626,c_24626,c_25003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % 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
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 21:43:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 10.91/3.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.27/3.76
% 11.27/3.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.38/3.83
% 11.38/3.83 Inference rules
% 11.38/3.83 ----------------------
% 11.38/3.83 #Ref : 0
% 11.38/3.83 #Sup : 6239
% 11.38/3.83 #Fact : 0
% 11.38/3.83 #Define : 0
% 11.38/3.83 #Split : 35
% 11.38/3.83 #Chain : 0
% 11.38/3.83 #Close : 0
% 11.38/3.83
% 11.38/3.83 Ordering : KBO
% 11.38/3.83
% 11.38/3.83 Simplification rules
% 11.38/3.83 ----------------------
% 11.38/3.83 #Subsume : 19
% 11.38/3.83 #Demod : 13578
% 11.38/3.83 #Tautology : 4890
% 11.38/3.83 #SimpNegUnit : 67
% 11.38/3.83 #BackRed : 388
% 11.38/3.83
% 11.38/3.83 #Partial instantiations: 0
% 11.38/3.83 #Strategies tried : 1
% 11.38/3.83
% 11.38/3.83 Timing (in seconds)
% 11.38/3.83 ----------------------
% 11.63/3.83 Preprocessing : 0.52
% 11.63/3.83 Parsing : 0.21
% 11.63/3.83 CNF conversion : 0.03
% 11.63/3.83 Main loop : 2.18
% 11.63/3.83 Inferencing : 0.68
% 11.63/3.83 Reduction : 1.02
% 11.63/3.83 Demodulation : 0.88
% 11.63/3.83 BG Simplification : 0.08
% 11.63/3.84 Subsumption : 0.25
% 11.63/3.84 Abstraction : 0.12
% 11.63/3.84 MUC search : 0.00
% 11.63/3.84 Cooper : 0.00
% 11.63/3.84 Total : 2.83
% 11.63/3.84 Index Insertion : 0.00
% 11.63/3.84 Index Deletion : 0.00
% 11.63/3.84 Index Matching : 0.00
% 11.63/3.84 BG Taut test : 0.00
%------------------------------------------------------------------------------