TSTP Solution File: GRP367-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP367-1 : 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 : n008.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 18.42s 8.31s
% Output : CNFRefutation 19.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 43
% Syntax : Number of formulae : 708 ( 593 unt; 11 typ; 0 def)
% Number of atoms : 926 ( 889 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 515 ( 286 ~; 229 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 4 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 340 (; 340 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > 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(sk_c8,type,
sk_c8: $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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
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_74,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c8,X3) != sk_c7 )
| ( multiply(X4,sk_c8) != X3 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X5,sk_c6) != sk_c8 )
| ( inverse(X5) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c3,sk_c6) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_117,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_85,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_89,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_34928,plain,
! [X_258,Y_259,Z_260] : ( multiply(multiply(X_258,Y_259),Z_260) = multiply(X_258,multiply(Y_259,Z_260)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34967,plain,
! [Z_260] : ( multiply(sk_c6,multiply(sk_c3,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_34928]) ).
tff(c_35008,plain,
! [Z_262] : ( multiply(sk_c6,multiply(sk_c3,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34967]) ).
tff(c_35020,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_117,c_35008]) ).
tff(c_34970,plain,
! [X_2,Z_260] : ( multiply(inverse(X_2),multiply(X_2,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34928]) ).
tff(c_35131,plain,
! [X_266,Z_267] : ( multiply(inverse(X_266),multiply(X_266,Z_267)) = Z_267 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34970]) ).
tff(c_35170,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_35020,c_35131]) ).
tff(c_35233,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35170]) ).
tff(c_33608,plain,
! [X_229,Y_230,Z_231] : ( multiply(multiply(X_229,Y_230),Z_231) = multiply(X_229,multiply(Y_230,Z_231)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33650,plain,
! [Z_231] : ( multiply(sk_c6,multiply(sk_c3,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_33608]) ).
tff(c_34062,plain,
! [Z_240] : ( multiply(sk_c6,multiply(sk_c3,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33650]) ).
tff(c_34074,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_117,c_34062]) ).
tff(c_33653,plain,
! [X_2,Z_231] : ( multiply(inverse(X_2),multiply(X_2,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33608]) ).
tff(c_34351,plain,
! [X_247,Z_248] : ( multiply(inverse(X_247),multiply(X_247,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33653]) ).
tff(c_34411,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_34074,c_34351]) ).
tff(c_34460,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34411]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_123,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_34078,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34074,c_123]) ).
tff(c_24,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_133,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_112,plain,
multiply(sk_c1,sk_c8) = sk_c2,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_153,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_180,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_153]) ).
tff(c_198,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_198]) ).
tff(c_214,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_210]) ).
tff(c_218,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_117]) ).
tff(c_186,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153]) ).
tff(c_290,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_308,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_218,c_290]) ).
tff(c_339,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_308]) ).
tff(c_196,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_388,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_339,c_196]) ).
tff(c_394,plain,
sk_c7 = 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_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
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_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_123]) ).
tff(c_384,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_339,c_217]) ).
tff(c_412,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_384]) ).
tff(c_68,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_240,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_10,sk_c7)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_214,c_68]) ).
tff(c_241,plain,
multiply(sk_c6,sk_c7) != sk_c7,
inference(splitLeft,[status(thm)],[c_240]) ).
tff(c_265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_241,c_217]) ).
tff(c_266,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_10,sk_c7)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_240]) ).
tff(c_8152,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_653,c_412,c_394,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_266]) ).
tff(c_8154,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8152]) ).
tff(c_220,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_102]) ).
tff(c_400,plain,
multiply(sk_c6,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_c7,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_98]) ).
tff(c_401,plain,
inverse(sk_c1) = sk_c6,
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_8156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8154,c_487]) ).
tff(c_8157,plain,
! [X1_8,X5_6,X4_10] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 ) ),
inference(splitRight,[status(thm)],[c_8152]) ).
tff(c_33545,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8157]) ).
tff(c_33547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33545,c_487]) ).
tff(c_33548,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_8157]) ).
tff(c_33550,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_33548]) ).
tff(c_33552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33550,c_487]) ).
tff(c_33554,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_33548]) ).
tff(c_33556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33554,c_487]) ).
tff(c_33558,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_33599,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33558,c_22]) ).
tff(c_34180,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_34078,c_33599]) ).
tff(c_20,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_33572,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_33558,c_20]) ).
tff(c_33576,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33572,c_4]) ).
tff(c_33632,plain,
! [Z_231] : ( multiply(sk_c8,multiply(sk_c4,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_33576,c_33608]) ).
tff(c_34305,plain,
! [Z_246] : ( multiply(sk_c8,multiply(sk_c4,Z_246)) = Z_246 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33632]) ).
tff(c_34320,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34180,c_34305]) ).
tff(c_34473,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34460,c_34460,c_34320]) ).
tff(c_34485,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34473]) ).
tff(c_33647,plain,
! [Z_231] : ( multiply(sk_c8,multiply(sk_c1,Z_231)) = multiply(identity,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_33608]) ).
tff(c_34221,plain,
! [Z_243] : ( multiply(sk_c8,multiply(sk_c1,Z_243)) = Z_243 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33647]) ).
tff(c_34233,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_34221]) ).
tff(c_34184,plain,
multiply(sk_c8,sk_c2) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34078,c_33558]) ).
tff(c_34237,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34233,c_34184]) ).
tff(c_34476,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34460,c_34237]) ).
tff(c_34550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34485,c_34476]) ).
tff(c_34552,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_34916,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34552,c_12]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_34571,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34552,c_10]) ).
tff(c_34575,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_34571,c_4]) ).
tff(c_34952,plain,
! [Z_260] : ( multiply(sk_c8,multiply(sk_c4,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_34575,c_34928]) ).
tff(c_35035,plain,
! [Z_263] : ( multiply(sk_c8,multiply(sk_c4,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34952]) ).
tff(c_35047,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34916,c_35035]) ).
tff(c_35243,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35233,c_35233,c_35047]) ).
tff(c_35258,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35243]) ).
tff(c_34964,plain,
! [Z_260] : ( multiply(sk_c8,multiply(sk_c1,Z_260)) = multiply(identity,Z_260) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_34928]) ).
tff(c_34984,plain,
! [Z_261] : ( multiply(sk_c8,multiply(sk_c1,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34964]) ).
tff(c_34996,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_34984]) ).
tff(c_34612,plain,
! [X_250,Y_251,Z_252] : ( multiply(multiply(X_250,Y_251),Z_252) = multiply(X_250,multiply(Y_251,Z_252)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_34654,plain,
! [Z_252] : ( multiply(sk_c6,multiply(sk_c3,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_34612]) ).
tff(c_34673,plain,
! [Z_253] : ( multiply(sk_c6,multiply(sk_c3,Z_253)) = Z_253 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34654]) ).
tff(c_34685,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_117,c_34673]) ).
tff(c_34689,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34685,c_34552]) ).
tff(c_34551,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_34605,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_34552,c_16]) ).
tff(c_34657,plain,
! [X_2,Z_252] : ( multiply(inverse(X_2),multiply(X_2,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34612]) ).
tff(c_34729,plain,
! [X_255,Z_256] : ( multiply(inverse(X_255),multiply(X_255,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34657]) ).
tff(c_34753,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_34605,c_34729]) ).
tff(c_34775,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34551,c_34753]) ).
tff(c_18,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_34585,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_34651,plain,
! [Z_252] : ( multiply(sk_c8,multiply(sk_c1,Z_252)) = multiply(identity,Z_252) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_34612]) ).
tff(c_34697,plain,
! [Z_254] : ( multiply(sk_c8,multiply(sk_c1,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34651]) ).
tff(c_34709,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_34697]) ).
tff(c_34713,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34585,c_34709]) ).
tff(c_34720,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34713,c_34571]) ).
tff(c_34598,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_34552,c_12]) ).
tff(c_34716,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34713,c_34598]) ).
tff(c_34669,plain,
! [X_2,Z_252] : ( multiply(inverse(X_2),multiply(X_2,Z_252)) = Z_252 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34657]) ).
tff(c_34892,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_34716,c_34669]) ).
tff(c_34898,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34775,c_34720,c_34892]) ).
tff(c_34900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34689,c_34898]) ).
tff(c_34902,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_35000,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_34996,c_34902]) ).
tff(c_35247,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35233,c_35000]) ).
tff(c_35320,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35258,c_35247]) ).
tff(c_35321,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_35322,plain,
multiply(sk_c3,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_35362,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35322,c_56]) ).
tff(c_35388,plain,
! [X_269,Y_270,Z_271] : ( multiply(multiply(X_269,Y_270),Z_271) = multiply(X_269,multiply(Y_270,Z_271)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35433,plain,
! [X_2,Z_271] : ( multiply(inverse(X_2),multiply(X_2,Z_271)) = multiply(identity,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35388]) ).
tff(c_35543,plain,
! [X_273,Z_274] : ( multiply(inverse(X_273),multiply(X_273,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35433]) ).
tff(c_35579,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35362,c_35543]) ).
tff(c_35603,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35321,c_35579]) ).
tff(c_35356,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_35427,plain,
! [Z_271] : ( multiply(sk_c8,multiply(sk_c1,Z_271)) = multiply(identity,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_35388]) ).
tff(c_35447,plain,
! [Z_272] : ( multiply(sk_c8,multiply(sk_c1,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35427]) ).
tff(c_35459,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_35447]) ).
tff(c_35463,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35356,c_35459]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_35337,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35322,c_50]) ).
tff(c_35470,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35463,c_35337]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_35382,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_35322,c_52]) ).
tff(c_35465,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35463,c_35382]) ).
tff(c_35445,plain,
! [X_2,Z_271] : ( multiply(inverse(X_2),multiply(X_2,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35433]) ).
tff(c_35634,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35465,c_35445]) ).
tff(c_35640,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35603,c_35470,c_35634]) ).
tff(c_48,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_35374,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35322,c_48]) ).
tff(c_35466,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35463,c_35374]) ).
tff(c_35692,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35640,c_35640,c_35466]) ).
tff(c_35696,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35692,c_35445]) ).
tff(c_35702,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35696]) ).
tff(c_35724,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35702,c_89]) ).
tff(c_35859,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_35724,c_35445]) ).
tff(c_35871,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35859]) ).
tff(c_35471,plain,
multiply(sk_c3,sk_c6) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35463,c_35322]) ).
tff(c_35691,plain,
multiply(sk_c3,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35640,c_35471]) ).
tff(c_35718,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35702,c_35702,c_35691]) ).
tff(c_35886,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35871,c_35718]) ).
tff(c_35888,plain,
multiply(sk_c8,sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_35899,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35888,c_18]) ).
tff(c_35887,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_35341,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35337,c_4]) ).
tff(c_35919,plain,
! [X_276,Y_277,Z_278] : ( multiply(multiply(X_276,Y_277),Z_278) = multiply(X_276,multiply(Y_277,Z_278)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35946,plain,
! [Z_278] : ( multiply(sk_c8,multiply(sk_c4,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_35341,c_35919]) ).
tff(c_36079,plain,
! [Z_283] : ( multiply(sk_c8,multiply(sk_c4,Z_283)) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35946]) ).
tff(c_36094,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35887,c_36079]) ).
tff(c_35889,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_35943,plain,
! [Z_278] : ( multiply(sk_c6,multiply(sk_c8,Z_278)) = multiply(sk_c7,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_35889,c_35919]) ).
tff(c_36140,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_36094,c_35943]) ).
tff(c_36146,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35899,c_36140]) ).
tff(c_35961,plain,
! [X_2,Z_278] : ( multiply(inverse(X_2),multiply(X_2,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35919]) ).
tff(c_36165,plain,
! [X_285,Z_286] : ( multiply(inverse(X_285),multiply(X_285,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35961]) ).
tff(c_36186,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_36146,c_36165]) ).
tff(c_36268,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36186]) ).
tff(c_35955,plain,
! [Z_278] : ( multiply(sk_c8,multiply(sk_c1,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_35919]) ).
tff(c_35975,plain,
! [Z_279] : ( multiply(sk_c8,multiply(sk_c1,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35955]) ).
tff(c_35987,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_35975]) ).
tff(c_35994,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35987,c_35888]) ).
tff(c_36294,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36268,c_35994]) ).
tff(c_35905,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_35322,c_56]) ).
tff(c_35326,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35321,c_4]) ).
tff(c_35949,plain,
! [Z_278] : ( multiply(sk_c7,multiply(sk_c5,Z_278)) = multiply(identity,Z_278) ),
inference(superposition,[status(thm),theory(equality)],[c_35326,c_35919]) ).
tff(c_36056,plain,
! [Z_282] : ( multiply(sk_c7,multiply(sk_c5,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35949]) ).
tff(c_36068,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35905,c_36056]) ).
tff(c_36290,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36268,c_36268,c_36068]) ).
tff(c_36302,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36290]) ).
tff(c_36298,plain,
multiply(sk_c6,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_36268,c_35889]) ).
tff(c_36458,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36302,c_36298]) ).
tff(c_36459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36294,c_36458]) ).
tff(c_36460,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_36490,plain,
! [X_287,Y_288,Z_289] : ( multiply(multiply(X_287,Y_288),Z_289) = multiply(X_287,multiply(Y_288,Z_289)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36517,plain,
! [Z_289] : ( multiply(sk_c7,multiply(sk_c5,Z_289)) = multiply(identity,Z_289) ),
inference(superposition,[status(thm),theory(equality)],[c_35326,c_36490]) ).
tff(c_36582,plain,
! [Z_292] : ( multiply(sk_c7,multiply(sk_c5,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36517]) ).
tff(c_36594,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_36460,c_36582]) ).
tff(c_36529,plain,
! [X_2,Z_289] : ( multiply(inverse(X_2),multiply(X_2,Z_289)) = multiply(identity,Z_289) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36490]) ).
tff(c_36621,plain,
! [X_294,Z_295] : ( multiply(inverse(X_294),multiply(X_294,Z_295)) = Z_295 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36529]) ).
tff(c_36666,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35887,c_36621]) ).
tff(c_36705,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35337,c_36666]) ).
tff(c_36474,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_35888,c_18]) ).
tff(c_36950,plain,
! [Z_299] : ( multiply(sk_c7,multiply(sk_c8,Z_299)) = multiply(sk_c6,Z_299) ),
inference(superposition,[status(thm),theory(equality)],[c_36474,c_36490]) ).
tff(c_36968,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_36705,c_36950]) ).
tff(c_36979,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_36594,c_36968]) ).
tff(c_36541,plain,
! [X_2,Z_289] : ( multiply(inverse(X_2),multiply(X_2,Z_289)) = Z_289 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36529]) ).
tff(c_36984,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_36979,c_36541]) ).
tff(c_36990,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36984]) ).
tff(c_36523,plain,
! [Z_289] : ( multiply(sk_c8,multiply(sk_c1,Z_289)) = multiply(identity,Z_289) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_36490]) ).
tff(c_36543,plain,
! [Z_290] : ( multiply(sk_c8,multiply(sk_c1,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_36523]) ).
tff(c_36555,plain,
multiply(sk_c8,sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112,c_36543]) ).
tff(c_36559,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36555,c_35888]) ).
tff(c_37001,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_36990,c_36559]) ).
tff(c_37000,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_36990,c_36990,c_36705]) ).
tff(c_37011,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37000]) ).
tff(c_37049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37001,c_37011]) ).
tff(c_37050,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_37051,plain,
multiply(sk_c1,sk_c8) != sk_c2,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_43339,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37051,c_36]) ).
tff(c_43361,plain,
! [X_422,Y_423,Z_424] : ( multiply(multiply(X_422,Y_423),Z_424) = multiply(X_422,multiply(Y_423,Z_424)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43397,plain,
! [X_2,Z_424] : ( multiply(inverse(X_2),multiply(X_2,Z_424)) = multiply(identity,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_43361]) ).
tff(c_44525,plain,
! [X_450,Z_451] : ( multiply(inverse(X_450),multiply(X_450,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43397]) ).
tff(c_44588,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_44525]) ).
tff(c_37068,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_42968,plain,
! [X_411,Y_412,Z_413] : ( multiply(multiply(X_411,Y_412),Z_413) = multiply(X_411,multiply(Y_412,Z_413)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43004,plain,
! [Z_413] : ( multiply(sk_c6,multiply(sk_c3,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_42968]) ).
tff(c_43036,plain,
! [Z_415] : ( multiply(sk_c6,multiply(sk_c3,Z_415)) = Z_415 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43004]) ).
tff(c_43048,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37068,c_43036]) ).
tff(c_43007,plain,
! [X_2,Z_413] : ( multiply(inverse(X_2),multiply(X_2,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42968]) ).
tff(c_43140,plain,
! [X_419,Z_420] : ( multiply(inverse(X_419),multiply(X_419,Z_420)) = Z_420 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43007]) ).
tff(c_43176,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43048,c_43140]) ).
tff(c_43233,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_43176]) ).
tff(c_43060,plain,
! [Z_416] : ( multiply(sk_c3,multiply(sk_c6,Z_416)) = multiply(sk_c8,Z_416) ),
inference(superposition,[status(thm),theory(equality)],[c_37068,c_42968]) ).
tff(c_43075,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_43048,c_43060]) ).
tff(c_43085,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37068,c_43075]) ).
tff(c_38189,plain,
! [X_325,Y_326,Z_327] : ( multiply(multiply(X_325,Y_326),Z_327) = multiply(X_325,multiply(Y_326,Z_327)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38231,plain,
! [X_2,Z_327] : ( multiply(inverse(X_2),multiply(X_2,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38189]) ).
tff(c_39328,plain,
! [X_351,Z_352] : ( multiply(inverse(X_351),multiply(X_351,Z_352)) = Z_352 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38231]) ).
tff(c_38243,plain,
! [X_2,Z_327] : ( multiply(inverse(X_2),multiply(X_2,Z_327)) = Z_327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38231]) ).
tff(c_39688,plain,
! [X_355,Z_356] : ( multiply(inverse(inverse(X_355)),Z_356) = multiply(X_355,Z_356) ),
inference(superposition,[status(thm),theory(equality)],[c_39328,c_38243]) ).
tff(c_39379,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39328]) ).
tff(c_39695,plain,
! [X_355] : ( multiply(X_355,identity) = X_355 ),
inference(superposition,[status(thm),theory(equality)],[c_39688,c_39379]) ).
tff(c_38228,plain,
! [Z_327] : ( multiply(sk_c6,multiply(sk_c3,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_38189]) ).
tff(c_38562,plain,
! [Z_336] : ( multiply(sk_c6,multiply(sk_c3,Z_336)) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38228]) ).
tff(c_38574,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37068,c_38562]) ).
tff(c_39349,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38574,c_39328]) ).
tff(c_39386,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39349]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_37080,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37051,c_30]) ).
tff(c_39391,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39386,c_37080]) ).
tff(c_37075,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_38578,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38574,c_37075]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_38180,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37051,c_32]) ).
tff(c_38586,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38578,c_38180]) ).
tff(c_39433,plain,
multiply(sk_c4,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39386,c_38586]) ).
tff(c_39437,plain,
multiply(inverse(sk_c4),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39433,c_38243]) ).
tff(c_39443,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39391,c_39437]) ).
tff(c_37095,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37051,c_36]) ).
tff(c_38589,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38578,c_37095]) ).
tff(c_37055,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37050,c_4]) ).
tff(c_38222,plain,
! [Z_327] : ( multiply(sk_c7,multiply(sk_c5,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_37055,c_38189]) ).
tff(c_38240,plain,
! [Z_327] : ( multiply(sk_c7,multiply(sk_c5,Z_327)) = Z_327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38222]) ).
tff(c_38643,plain,
! [Z_338] : ( multiply(sk_c6,multiply(sk_c5,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_38578,c_38240]) ).
tff(c_38655,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38589,c_38643]) ).
tff(c_38666,plain,
! [X_339,Z_340] : ( multiply(inverse(X_339),multiply(X_339,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38231]) ).
tff(c_38684,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38655,c_38666]) ).
tff(c_38742,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38684]) ).
tff(c_39055,plain,
! [X_344,Z_345] : ( multiply(inverse(inverse(X_344)),Z_345) = multiply(X_344,Z_345) ),
inference(superposition,[status(thm),theory(equality)],[c_38243,c_38666]) ).
tff(c_38735,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38666]) ).
tff(c_39062,plain,
! [X_344] : ( multiply(X_344,identity) = X_344 ),
inference(superposition,[status(thm),theory(equality)],[c_39055,c_38735]) ).
tff(c_38248,plain,
! [Z_328] : ( multiply(sk_c6,multiply(sk_c3,Z_328)) = Z_328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38228]) ).
tff(c_38260,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37068,c_38248]) ).
tff(c_38398,plain,
! [X_333,Z_334] : ( multiply(inverse(X_333),multiply(X_333,Z_334)) = Z_334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38231]) ).
tff(c_38440,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38260,c_38398]) ).
tff(c_38480,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38440]) ).
tff(c_38264,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38260,c_37075]) ).
tff(c_38272,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_38264,c_38180]) ).
tff(c_37084,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_37080,c_4]) ).
tff(c_38213,plain,
! [Z_327] : ( multiply(sk_c8,multiply(sk_c4,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_37084,c_38189]) ).
tff(c_38349,plain,
! [Z_331] : ( multiply(sk_c8,multiply(sk_c4,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38213]) ).
tff(c_38365,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_38272,c_38349]) ).
tff(c_38485,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_38480,c_38480,c_38365]) ).
tff(c_38499,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38485]) ).
tff(c_38225,plain,
! [Z_327] : ( multiply(sk_c8,multiply(sk_c1,Z_327)) = multiply(identity,Z_327) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_38189]) ).
tff(c_38330,plain,
! [Z_330] : ( multiply(sk_c8,multiply(sk_c1,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38225]) ).
tff(c_37122,plain,
! [X_301,Y_302,Z_303] : ( multiply(multiply(X_301,Y_302),Z_303) = multiply(X_301,multiply(Y_302,Z_303)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_37164,plain,
! [Z_303] : ( multiply(sk_c6,multiply(sk_c3,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_37122]) ).
tff(c_37546,plain,
! [Z_314] : ( multiply(sk_c6,multiply(sk_c3,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37164]) ).
tff(c_37558,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37068,c_37546]) ).
tff(c_37167,plain,
! [X_2,Z_303] : ( multiply(inverse(X_2),multiply(X_2,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_37122]) ).
tff(c_37830,plain,
! [X_320,Z_321] : ( multiply(inverse(X_320),multiply(X_320,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37167]) ).
tff(c_37887,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_37558,c_37830]) ).
tff(c_37935,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_37887]) ).
tff(c_37562,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37558,c_37075]) ).
tff(c_37115,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_37051,c_32]) ).
tff(c_37675,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_37562,c_37115]) ).
tff(c_37149,plain,
! [Z_303] : ( multiply(sk_c8,multiply(sk_c4,Z_303)) = multiply(identity,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_37084,c_37122]) ).
tff(c_37749,plain,
! [Z_318] : ( multiply(sk_c8,multiply(sk_c4,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37149]) ).
tff(c_37761,plain,
multiply(sk_c8,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37675,c_37749]) ).
tff(c_37941,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37935,c_37935,c_37761]) ).
tff(c_37954,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37941]) ).
tff(c_37152,plain,
! [Z_303] : ( multiply(sk_c6,multiply(sk_c8,Z_303)) = multiply(sk_c7,Z_303) ),
inference(superposition,[status(thm),theory(equality)],[c_37075,c_37122]) ).
tff(c_37774,plain,
! [Z_319] : ( multiply(sk_c6,multiply(sk_c8,Z_319)) = multiply(sk_c6,Z_319) ),
inference(demodulation,[status(thm),theory(equality)],[c_37562,c_37152]) ).
tff(c_37801,plain,
multiply(sk_c6,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_102,c_37774]) ).
tff(c_38010,plain,
multiply(identity,sk_c1) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_37954,c_37954,c_37801]) ).
tff(c_38023,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_38010]) ).
tff(c_37104,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_37677,plain,
multiply(sk_c8,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37562,c_37104]) ).
tff(c_37943,plain,
multiply(identity,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_37935,c_37677]) ).
tff(c_37955,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37943]) ).
tff(c_38030,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_37954,c_37955]) ).
tff(c_37950,plain,
multiply(sk_c1,identity) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_37935,c_37051]) ).
tff(c_38171,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_38023,c_38030,c_37950]) ).
tff(c_38172,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_38246,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37075,c_38172,c_68]) ).
tff(c_38247,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_38246]) ).
tff(c_38297,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38264,c_38247]) ).
tff(c_38337,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38330,c_38297]) ).
tff(c_38346,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_38337]) ).
tff(c_38487,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38480,c_38346]) ).
tff(c_38560,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38499,c_38487]) ).
tff(c_38561,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_38246]) ).
tff(c_38597,plain,
! [X5_6,X1_8,X2_9] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38578,c_38578,c_38578,c_38561]) ).
tff(c_38598,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_38597]) ).
tff(c_39317,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_38742,c_39062,c_38742,c_38742,c_38598]) ).
tff(c_38705,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_38574,c_38666]) ).
tff(c_38746,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38705]) ).
tff(c_38759,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38746,c_98]) ).
tff(c_38836,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_38759,c_4]) ).
tff(c_38883,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_38836,c_38243]) ).
tff(c_38895,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38883]) ).
tff(c_38899,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_38895,c_38759]) ).
tff(c_39319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39317,c_38899]) ).
tff(c_39320,plain,
! [X1_8,X5_6] :
( ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_38597]) ).
tff(c_42460,plain,
! [X1_8,X5_6] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39695,c_39443,c_39386,c_39443,c_39386,c_39695,c_39443,c_39386,c_39320]) ).
tff(c_42462,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_42460]) ).
tff(c_39406,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39391,c_4]) ).
tff(c_39503,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_39406,c_38243]) ).
tff(c_39515,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39503]) ).
tff(c_39519,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_39515,c_39391]) ).
tff(c_42464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42462,c_39519]) ).
tff(c_42466,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_42460]) ).
tff(c_42468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42466,c_39519]) ).
tff(c_42469,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_42518,plain,
! [X_401,Y_402,Z_403] : ( multiply(multiply(X_401,Y_402),Z_403) = multiply(X_401,multiply(Y_402,Z_403)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42557,plain,
! [Z_403] : ( multiply(sk_c6,multiply(sk_c3,Z_403)) = multiply(identity,Z_403) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_42518]) ).
tff(c_42589,plain,
! [Z_405] : ( multiply(sk_c6,multiply(sk_c3,Z_405)) = Z_405 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42557]) ).
tff(c_42601,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_37068,c_42589]) ).
tff(c_42560,plain,
! [X_2,Z_403] : ( multiply(inverse(X_2),multiply(X_2,Z_403)) = multiply(identity,Z_403) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42518]) ).
tff(c_42636,plain,
! [X_407,Z_408] : ( multiply(inverse(X_407),multiply(X_407,Z_408)) = Z_408 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42560]) ).
tff(c_42660,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42601,c_42636]) ).
tff(c_42718,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42660]) ).
tff(c_42504,plain,
multiply(sk_c8,sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_42728,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42718,c_42504]) ).
tff(c_42736,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42728]) ).
tff(c_42470,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_42511,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42470,c_12]) ).
tff(c_42672,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_42511,c_42636]) ).
tff(c_42719,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_42469,c_42672]) ).
tff(c_42817,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42736,c_42718,c_2,c_42718,c_42719]) ).
tff(c_42605,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42601,c_42470]) ).
tff(c_42743,plain,
sk_c6 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_42736,c_42605]) ).
tff(c_42819,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_42817,c_42743]) ).
tff(c_42820,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42817,c_42736]) ).
tff(c_28,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_42498,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_37051,c_28]) ).
tff(c_42729,plain,
multiply(sk_c7,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_42718,c_42498]) ).
tff(c_42954,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42820,c_42729]) ).
tff(c_42955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42819,c_42954]) ).
tff(c_42956,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_43188,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_42956,c_43140]) ).
tff(c_43234,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_43085,c_42469,c_43188]) ).
tff(c_43264,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43233,c_43234]) ).
tff(c_43052,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43048,c_42470]) ).
tff(c_43267,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_43264,c_43052]) ).
tff(c_42488,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_37051,c_36]) ).
tff(c_42998,plain,
! [Z_413] : ( multiply(sk_c7,multiply(sk_c5,Z_413)) = multiply(identity,Z_413) ),
inference(superposition,[status(thm),theory(equality)],[c_37055,c_42968]) ).
tff(c_43093,plain,
! [Z_417] : ( multiply(sk_c7,multiply(sk_c5,Z_417)) = Z_417 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42998]) ).
tff(c_43105,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_42488,c_43093]) ).
tff(c_43265,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43264,c_43264,c_43105]) ).
tff(c_43271,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43265]) ).
tff(c_43313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43267,c_43271]) ).
tff(c_43314,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_44693,plain,
! [X_453] : ( multiply(inverse(inverse(X_453)),identity) = X_453 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44525]) ).
tff(c_44708,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_43314,c_44693]) ).
tff(c_44721,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_44588,c_44708]) ).
tff(c_43315,plain,
multiply(sk_c3,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_43334,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43315,c_52]) ).
tff(c_44726,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44721,c_43334]) ).
tff(c_43388,plain,
! [Z_424] : ( multiply(sk_c7,multiply(sk_c5,Z_424)) = multiply(identity,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_37055,c_43361]) ).
tff(c_44053,plain,
! [Z_441] : ( multiply(sk_c7,multiply(sk_c5,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43388]) ).
tff(c_44065,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43339,c_44053]) ).
tff(c_43485,plain,
! [Z_429] : ( multiply(sk_c7,multiply(sk_c5,Z_429)) = Z_429 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43388]) ).
tff(c_43500,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43339,c_43485]) ).
tff(c_43319,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43314,c_4]) ).
tff(c_43385,plain,
! [Z_424] : ( multiply(sk_c8,multiply(sk_c4,Z_424)) = multiply(identity,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_43319,c_43361]) ).
tff(c_43440,plain,
! [Z_427] : ( multiply(sk_c8,multiply(sk_c4,Z_427)) = Z_427 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43385]) ).
tff(c_43452,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43334,c_43440]) ).
tff(c_43347,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_43315,c_48]) ).
tff(c_43819,plain,
! [Z_435] : ( multiply(sk_c7,multiply(sk_c8,Z_435)) = multiply(sk_c6,Z_435) ),
inference(superposition,[status(thm),theory(equality)],[c_43347,c_43361]) ).
tff(c_43837,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_43452,c_43819]) ).
tff(c_43847,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43500,c_43837]) ).
tff(c_43425,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43347,c_68]) ).
tff(c_43426,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_43425]) ).
tff(c_43848,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43847,c_43426]) ).
tff(c_43379,plain,
! [Z_424] : ( multiply(sk_c5,multiply(sk_c6,Z_424)) = multiply(sk_c7,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_43339,c_43361]) ).
tff(c_43852,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_43847,c_43379]) ).
tff(c_43861,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43347,c_43339,c_43852]) ).
tff(c_43864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43848,c_43861]) ).
tff(c_43866,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_43425]) ).
tff(c_44076,plain,
! [Z_442] : ( multiply(sk_c8,multiply(sk_c4,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43385]) ).
tff(c_44088,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43334,c_44076]) ).
tff(c_44379,plain,
! [Z_448] : ( multiply(sk_c7,multiply(sk_c8,Z_448)) = multiply(sk_c6,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_43347,c_43361]) ).
tff(c_44394,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_44088,c_44379]) ).
tff(c_44404,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44065,c_43866,c_44394]) ).
tff(c_44100,plain,
! [X_443,Z_444] : ( multiply(inverse(X_443),multiply(X_443,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43397]) ).
tff(c_44133,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43866,c_44100]) ).
tff(c_44411,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_44404,c_44133]) ).
tff(c_44422,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44411]) ).
tff(c_43391,plain,
! [Z_424] : ( multiply(sk_c8,multiply(sk_c1,Z_424)) = multiply(identity,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_43361]) ).
tff(c_43407,plain,
! [Z_424] : ( multiply(sk_c8,multiply(sk_c1,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43391]) ).
tff(c_43911,plain,
! [Z_438] : ( multiply(sk_c8,multiply(sk_c4,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43385]) ).
tff(c_43923,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43334,c_43911]) ).
tff(c_43927,plain,
! [Z_439] : ( multiply(sk_c4,multiply(sk_c7,Z_439)) = multiply(sk_c8,Z_439) ),
inference(superposition,[status(thm),theory(equality)],[c_43334,c_43361]) ).
tff(c_43948,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_43347,c_43927]) ).
tff(c_43962,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_43923,c_43948]) ).
tff(c_43405,plain,
! [Z_424] : ( multiply(sk_c8,multiply(sk_c4,Z_424)) = Z_424 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43385]) ).
tff(c_43966,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43962,c_43405]) ).
tff(c_43888,plain,
! [Z_437] : ( multiply(sk_c7,multiply(sk_c5,Z_437)) = Z_437 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43388]) ).
tff(c_43900,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43339,c_43888]) ).
tff(c_43942,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_43900,c_43927]) ).
tff(c_43988,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43966,c_43962,c_43942]) ).
tff(c_43990,plain,
multiply(sk_c4,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43988,c_43962]) ).
tff(c_43865,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_43425]) ).
tff(c_43887,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_43865]) ).
tff(c_44005,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43988,c_43988,c_43887]) ).
tff(c_44030,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_43990,c_44005]) ).
tff(c_44040,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43314,c_44030]) ).
tff(c_43998,plain,
multiply(sk_c4,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_43988,c_43334]) ).
tff(c_44050,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43990,c_43998]) ).
tff(c_44051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44040,c_44050]) ).
tff(c_44052,plain,
! [X1_8,X5_6,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_43865]) ).
tff(c_44305,plain,
! [X4_447] :
( ( inverse(X4_447) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_447,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_44052]) ).
tff(c_44323,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_43407,c_44305]) ).
tff(c_44344,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_44323]) ).
tff(c_44409,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44404,c_44344]) ).
tff(c_44458,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_44422,c_44409]) ).
tff(c_44163,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_44100]) ).
tff(c_44431,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_44422,c_44163]) ).
tff(c_44437,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_44431]) ).
tff(c_44436,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44422,c_98]) ).
tff(c_44459,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44437,c_44436]) ).
tff(c_44151,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_43319,c_44100]) ).
tff(c_44348,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_44163,c_44151]) ).
tff(c_44447,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44437,c_44348]) ).
tff(c_43382,plain,
! [Z_424] : ( multiply(sk_c4,multiply(sk_c7,Z_424)) = multiply(sk_c8,Z_424) ),
inference(superposition,[status(thm),theory(equality)],[c_43334,c_43361]) ).
tff(c_44479,plain,
! [Z_449] : ( multiply(sk_c6,Z_449) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44447,c_2,c_44422,c_44404,c_43382]) ).
tff(c_44494,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_44479,c_89]) ).
tff(c_44511,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44494,c_85]) ).
tff(c_44514,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44459,c_44511]) ).
tff(c_44516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44458,c_44514]) ).
tff(c_44517,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_44052]) ).
tff(c_44772,plain,
! [X1_454] :
( ( multiply(X1_454,sk_c7) != sk_c8 )
| ( inverse(X1_454) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_44517]) ).
tff(c_44781,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44726,c_44772]) ).
tff(c_44806,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_44781]) ).
tff(c_44919,plain,
! [X5_456] :
( ( inverse(X5_456) != sk_c6 )
| ( multiply(X5_456,sk_c6) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_44517]) ).
tff(c_44933,plain,
( ( inverse(sk_c5) != sk_c6 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_43339,c_44919]) ).
tff(c_44943,plain,
( ( sk_c7 != sk_c6 )
| ( sk_c8 != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37050,c_44933]) ).
tff(c_44944,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_44943]) ).
tff(c_44549,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44065,c_44525]) ).
tff(c_44567,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43347,c_44525]) ).
tff(c_44946,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44549,c_44567]) ).
tff(c_44948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44944,c_44946]) ).
tff(c_44949,plain,
sk_c7 != sk_c6,
inference(splitRight,[status(thm)],[c_44943]) ).
tff(c_44950,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_44943]) ).
tff(c_44957,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_44950,c_44950,c_44088]) ).
tff(c_44966,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44065,c_44957]) ).
tff(c_44968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44949,c_44966]) ).
tff(c_44970,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_38,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_45015,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_44970,c_38]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_45006,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_44970,c_42]) ).
tff(c_44969,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_44974,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44969,c_4]) ).
tff(c_45032,plain,
! [X_457,Y_458,Z_459] : ( multiply(multiply(X_457,Y_458),Z_459) = multiply(X_457,multiply(Y_458,Z_459)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45059,plain,
! [Z_459] : ( multiply(sk_c8,multiply(sk_c4,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_44974,c_45032]) ).
tff(c_45101,plain,
! [Z_461] : ( multiply(sk_c8,multiply(sk_c4,Z_461)) = Z_461 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45059]) ).
tff(c_45113,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_45006,c_45101]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_44999,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_44970,c_46]) ).
tff(c_44,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_44982,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_44970,c_44]) ).
tff(c_44986,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44982,c_4]) ).
tff(c_45056,plain,
! [Z_459] : ( multiply(sk_c7,multiply(sk_c5,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_44986,c_45032]) ).
tff(c_45078,plain,
! [Z_460] : ( multiply(sk_c7,multiply(sk_c5,Z_460)) = Z_460 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45056]) ).
tff(c_45090,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_44999,c_45078]) ).
tff(c_45251,plain,
! [Z_466] : ( multiply(sk_c7,multiply(sk_c8,Z_466)) = multiply(sk_c6,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_45015,c_45032]) ).
tff(c_45266,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_45113,c_45251]) ).
tff(c_45276,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45090,c_45266]) ).
tff(c_45065,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = multiply(identity,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45032]) ).
tff(c_45076,plain,
! [X_2,Z_459] : ( multiply(inverse(X_2),multiply(X_2,Z_459)) = Z_459 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45065]) ).
tff(c_45281,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_45276,c_45076]) ).
tff(c_45287,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45281]) ).
tff(c_45291,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45287,c_45287,c_45113]) ).
tff(c_45299,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45291]) ).
tff(c_45327,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45299,c_45299,c_45090]) ).
tff(c_45332,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45327]) ).
tff(c_45118,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45015,c_68]) ).
tff(c_45119,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_45118]) ).
tff(c_45277,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45276,c_45119]) ).
tff(c_45326,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_45299,c_45277]) ).
tff(c_45345,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45332,c_45326]) ).
tff(c_45347,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_45118]) ).
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_45410,plain,
! [Z_471] : ( multiply(sk_c6,multiply(sk_c8,Z_471)) = multiply(sk_c7,Z_471) ),
inference(superposition,[status(thm),theory(equality)],[c_45347,c_6]) ).
tff(c_45422,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_45113,c_45410]) ).
tff(c_45432,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45015,c_45422]) ).
tff(c_45448,plain,
! [X_472,Z_473] : ( multiply(inverse(X_472),multiply(X_472,Z_473)) = Z_473 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45065]) ).
tff(c_45469,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_45432,c_45448]) ).
tff(c_45530,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45469]) ).
tff(c_45547,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45530,c_44982]) ).
tff(c_47314,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45547,c_4]) ).
tff(c_47372,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_47314,c_45076]) ).
tff(c_47384,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47372]) ).
tff(c_47388,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47384,c_45547]) ).
tff(c_45541,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45530,c_45530,c_45090]) ).
tff(c_45550,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45541]) ).
tff(c_45047,plain,
! [Z_459] : ( multiply(sk_c7,multiply(sk_c8,Z_459)) = multiply(sk_c6,Z_459) ),
inference(superposition,[status(thm),theory(equality)],[c_45015,c_45032]) ).
tff(c_47319,plain,
! [Z_506] : ( multiply(sk_c8,Z_506) = Z_506 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_45530,c_45550,c_45047]) ).
tff(c_47334,plain,
sk_c4 = identity,
inference(superposition,[status(thm),theory(equality)],[c_47319,c_44974]) ).
tff(c_47349,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_47334,c_44969]) ).
tff(c_47396,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_47388,c_47349]) ).
tff(c_47488,plain,
! [X_508,Z_509] : ( multiply(inverse(inverse(X_508)),Z_509) = multiply(X_508,Z_509) ),
inference(superposition,[status(thm),theory(equality)],[c_45076,c_45448]) ).
tff(c_45523,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45448]) ).
tff(c_47495,plain,
! [X_508] : ( multiply(X_508,identity) = X_508 ),
inference(superposition,[status(thm),theory(equality)],[c_47488,c_45523]) ).
tff(c_45757,plain,
! [X_476,Z_477] : ( multiply(inverse(inverse(X_476)),Z_477) = multiply(X_476,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_45448,c_45076]) ).
tff(c_45764,plain,
! [X_476] : ( multiply(X_476,identity) = X_476 ),
inference(superposition,[status(thm),theory(equality)],[c_45757,c_45523]) ).
tff(c_45540,plain,
multiply(sk_c6,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45530,c_45347]) ).
tff(c_45624,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45550,c_45540]) ).
tff(c_45346,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_45118]) ).
tff(c_45376,plain,
! [X2_469] :
( ( multiply(X2_469,sk_c6) != sk_c7 )
| ( inverse(X2_469) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_45346]) ).
tff(c_45383,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44999,c_45376]) ).
tff(c_45395,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44982,c_45383]) ).
tff(c_45396,plain,
! [X1_8,X5_6,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_45346]) ).
tff(c_45562,plain,
! [X1_8,X5_6,X4_10] :
( ( multiply(X1_8,identity) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45530,c_45550,c_45550,c_45530,c_45396]) ).
tff(c_45563,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != identity ) ),
inference(splitLeft,[status(thm)],[c_45562]) ).
tff(c_47294,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_45764,c_45624,c_2,c_45624,c_45624,c_45563]) ).
tff(c_45557,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45550,c_85]) ).
tff(c_45570,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45557,c_4]) ).
tff(c_45588,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_45570,c_45076]) ).
tff(c_45600,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45588]) ).
tff(c_45604,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45600,c_45557]) ).
tff(c_47296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47294,c_45604]) ).
tff(c_47297,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 )
| ( multiply(X1_8,identity) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_45562]) ).
tff(c_68564,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47396,c_47495,c_47396,c_47495,c_47396,c_47297]) ).
tff(c_68566,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_68564]) ).
tff(c_68568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68566,c_47388]) ).
tff(c_68570,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_68564]) ).
tff(c_68572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68570,c_47388]) ).
tff(c_68574,plain,
inverse(sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_60,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_68582,plain,
inverse(sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_68583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68574,c_68582]) ).
tff(c_68584,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_62,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_68630,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_68574,c_62]) ).
tff(c_68589,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68584,c_4]) ).
tff(c_68652,plain,
! [X_666,Y_667,Z_668] : ( multiply(multiply(X_666,Y_667),Z_668) = multiply(X_666,multiply(Y_667,Z_668)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_68679,plain,
! [Z_668] : ( multiply(sk_c8,multiply(sk_c4,Z_668)) = multiply(identity,Z_668) ),
inference(superposition,[status(thm),theory(equality)],[c_68589,c_68652]) ).
tff(c_68694,plain,
! [Z_668] : ( multiply(sk_c8,multiply(sk_c4,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68679]) ).
tff(c_68573,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_68618,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_68574,c_66]) ).
tff(c_68578,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68573,c_4]) ).
tff(c_68682,plain,
! [Z_668] : ( multiply(sk_c7,multiply(sk_c5,Z_668)) = multiply(identity,Z_668) ),
inference(superposition,[status(thm),theory(equality)],[c_68578,c_68652]) ).
tff(c_68724,plain,
! [Z_670] : ( multiply(sk_c7,multiply(sk_c5,Z_670)) = Z_670 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68682]) ).
tff(c_68736,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_68618,c_68724]) ).
tff(c_68685,plain,
! [X_2,Z_668] : ( multiply(inverse(X_2),multiply(X_2,Z_668)) = multiply(identity,Z_668) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_68652]) ).
tff(c_68760,plain,
! [X_672,Z_673] : ( multiply(inverse(X_672),multiply(X_672,Z_673)) = Z_673 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68685]) ).
tff(c_68781,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68736,c_68760]) ).
tff(c_58,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_68623,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68574,c_58]) ).
tff(c_68799,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68623,c_68760]) ).
tff(c_68951,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_68781,c_68799]) ).
tff(c_68698,plain,
! [Z_669] : ( multiply(sk_c8,multiply(sk_c4,Z_669)) = Z_669 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68679]) ).
tff(c_68710,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68630,c_68698]) ).
tff(c_68787,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68710,c_68760]) ).
tff(c_68989,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_68951,c_68951,c_68787]) ).
tff(c_68998,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68989]) ).
tff(c_68993,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_68951,c_68951,c_68710]) ).
tff(c_68999,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_68736,c_68993]) ).
tff(c_69019,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68998,c_68999]) ).
tff(c_68715,plain,
! [X2_9,X1_8,X5_6,X4_10] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68623,c_68]) ).
tff(c_68716,plain,
multiply(sk_c6,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_68715]) ).
tff(c_68994,plain,
multiply(sk_c6,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_68951,c_68716]) ).
tff(c_69120,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69019,c_68998,c_68998,c_68994]) ).
tff(c_69121,plain,
! [X4_10,X5_6,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_68715]) ).
tff(c_69226,plain,
! [X2_681] :
( ( multiply(X2_681,sk_c6) != sk_c7 )
| ( inverse(X2_681) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_69121]) ).
tff(c_69233,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_68618,c_69226]) ).
tff(c_69245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68573,c_69233]) ).
tff(c_69246,plain,
! [X1_8,X5_6,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_10,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_69121]) ).
tff(c_69431,plain,
! [X4_687] :
( ( inverse(X4_687) != sk_c8 )
| ( multiply(sk_c8,multiply(X4_687,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_69246]) ).
tff(c_69442,plain,
( ( inverse(sk_c4) != sk_c8 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_68694,c_69431]) ).
tff(c_69458,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_68584,c_69442]) ).
tff(c_69328,plain,
! [X_685,Z_686] : ( multiply(inverse(X_685),multiply(X_685,Z_686)) = Z_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68685]) ).
tff(c_69406,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_69328]) ).
tff(c_69122,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_68715]) ).
tff(c_69278,plain,
! [Z_683] : ( multiply(sk_c5,multiply(sk_c6,Z_683)) = multiply(sk_c7,Z_683) ),
inference(superposition,[status(thm),theory(equality)],[c_68618,c_68652]) ).
tff(c_69293,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_69122,c_69278]) ).
tff(c_69297,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_68623,c_69293]) ).
tff(c_68695,plain,
! [Z_668] : ( multiply(sk_c7,multiply(sk_c5,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68682]) ).
tff(c_69301,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_69297,c_68695]) ).
tff(c_69349,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_69301,c_69328]) ).
tff(c_69410,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69349]) ).
tff(c_69422,plain,
multiply(identity,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_69410,c_69122]) ).
tff(c_68696,plain,
! [X_2,Z_668] : ( multiply(inverse(X_2),multiply(X_2,Z_668)) = Z_668 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68685]) ).
tff(c_69520,plain,
multiply(inverse(identity),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_69422,c_68696]) ).
tff(c_69532,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_69406,c_69520]) ).
tff(c_69534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69458,c_69532]) ).
tff(c_69535,plain,
! [X5_6,X1_8] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_69246]) ).
tff(c_69632,plain,
! [X1_692] :
( ( multiply(X1_692,sk_c7) != sk_c8 )
| ( inverse(X1_692) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_69535]) ).
tff(c_69645,plain,
inverse(sk_c4) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_68630,c_69632]) ).
tff(c_69657,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68584,c_69645]) ).
tff(c_69675,plain,
! [X5_694] :
( ( inverse(X5_694) != sk_c6 )
| ( multiply(X5_694,sk_c6) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_69535]) ).
tff(c_69686,plain,
( ( inverse(inverse(sk_c6)) != sk_c6 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69675]) ).
tff(c_69701,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_69686]) ).
tff(c_69659,plain,
! [Z_693] : ( multiply(sk_c7,multiply(sk_c5,Z_693)) = Z_693 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68682]) ).
tff(c_69671,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_68618,c_69659]) ).
tff(c_69941,plain,
! [Z_700] : ( multiply(sk_c7,multiply(sk_c8,Z_700)) = multiply(sk_c6,Z_700) ),
inference(superposition,[status(thm),theory(equality)],[c_68623,c_68652]) ).
tff(c_69965,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_68710,c_69941]) ).
tff(c_69978,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_69671,c_69122,c_69965]) ).
tff(c_69715,plain,
! [X_696,Z_697] : ( multiply(inverse(X_696),multiply(X_696,Z_697)) = Z_697 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68685]) ).
tff(c_69745,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_69122,c_69715]) ).
tff(c_69980,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_69978,c_69745]) ).
tff(c_69997,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69980]) ).
tff(c_69999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69701,c_69997]) ).
tff(c_70001,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_69686]) ).
tff(c_69682,plain,
( ( inverse(sk_c5) != sk_c6 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_68618,c_69675]) ).
tff(c_69691,plain,
( ( sk_c7 != sk_c6 )
| ( sk_c8 != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68573,c_69682]) ).
tff(c_69692,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_69691]) ).
tff(c_70003,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_70001,c_69692]) ).
tff(c_70005,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70001,c_70001,c_68710]) ).
tff(c_70014,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70005]) ).
tff(c_70051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70003,c_70014]) ).
tff(c_70052,plain,
sk_c7 != sk_c6,
inference(splitRight,[status(thm)],[c_69691]) ).
tff(c_70053,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_69691]) ).
tff(c_70059,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_70053,c_68623]) ).
tff(c_70055,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70053,c_70053,c_68710]) ).
tff(c_70122,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_70059,c_70055]) ).
tff(c_70123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70052,c_70122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP367-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:17:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 18.42/8.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.79/8.41
% 18.79/8.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.11/8.49
% 19.11/8.49 Inference rules
% 19.11/8.49 ----------------------
% 19.11/8.49 #Ref : 0
% 19.11/8.49 #Sup : 17137
% 19.11/8.49 #Fact : 0
% 19.11/8.49 #Define : 0
% 19.11/8.49 #Split : 52
% 19.11/8.49 #Chain : 0
% 19.11/8.49 #Close : 0
% 19.11/8.49
% 19.11/8.49 Ordering : KBO
% 19.11/8.49
% 19.11/8.49 Simplification rules
% 19.11/8.49 ----------------------
% 19.11/8.49 #Subsume : 26
% 19.11/8.49 #Demod : 49567
% 19.11/8.49 #Tautology : 13618
% 19.11/8.49 #SimpNegUnit : 90
% 19.11/8.49 #BackRed : 682
% 19.11/8.49
% 19.11/8.49 #Partial instantiations: 0
% 19.11/8.49 #Strategies tried : 1
% 19.11/8.49
% 19.11/8.49 Timing (in seconds)
% 19.11/8.49 ----------------------
% 19.11/8.49 Preprocessing : 0.53
% 19.11/8.49 Parsing : 0.21
% 19.11/8.49 CNF conversion : 0.03
% 19.11/8.49 Main loop : 6.72
% 19.11/8.49 Inferencing : 1.62
% 19.11/8.49 Reduction : 4.15
% 19.11/8.49 Demodulation : 3.88
% 19.11/8.49 BG Simplification : 0.14
% 19.11/8.49 Subsumption : 0.54
% 19.11/8.49 Abstraction : 0.37
% 19.11/8.49 MUC search : 0.00
% 19.11/8.49 Cooper : 0.00
% 19.11/8.49 Total : 7.45
% 19.11/8.49 Index Insertion : 0.00
% 19.11/8.49 Index Deletion : 0.00
% 19.11/8.49 Index Matching : 0.00
% 19.11/8.49 BG Taut test : 0.00
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