TSTP Solution File: GRP236-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP236-1 : 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 : n020.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 10:40:35 EDT 2023
% Result : Unsatisfiable 24.85s 13.55s
% Output : CNFRefutation 25.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 38
% Syntax : Number of formulae : 506 ( 401 unt; 11 typ; 0 def)
% Number of atoms : 656 ( 633 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 359 ( 198 ~; 161 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 210 (; 210 !; 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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_78,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_63,axiom,
inverse(sk_c8) = sk_c7,
file(unknown,unknown) ).
tff(f_96,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_126,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_171,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(X5,X6) != sk_c7 )
| ( inverse(X5) != X6 )
| ( multiply(X6,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X3,sk_c8) != X2 )
| ( inverse(X3) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_132,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_138,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_135,axiom,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_120,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_114,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_66,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_81427,plain,
! [X_539,Y_540,Z_541] : ( multiply(multiply(X_539,Y_540),Z_541) = multiply(X_539,multiply(Y_540,Z_541)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_81463,plain,
! [X_2,Z_541] : ( multiply(inverse(X_2),multiply(X_2,Z_541)) = multiply(identity,Z_541) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_81427]) ).
tff(c_87988,plain,
! [X_612,Z_613] : ( multiply(inverse(X_612),multiply(X_612,Z_613)) = Z_613 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81463]) ).
tff(c_81475,plain,
! [X_2,Z_541] : ( multiply(inverse(X_2),multiply(X_2,Z_541)) = Z_541 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81463]) ).
tff(c_88158,plain,
! [X_616,Z_617] : ( multiply(inverse(inverse(X_616)),Z_617) = multiply(X_616,Z_617) ),
inference(superposition,[status(thm),theory(equality)],[c_87988,c_81475]) ).
tff(c_88182,plain,
! [X_616] : ( multiply(X_616,inverse(X_616)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_88158,c_4]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_90,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_94,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_90,c_4]) ).
tff(c_8,plain,
inverse(sk_c8) = sk_c7,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_76,plain,
! [X_13] : ( multiply(inverse(X_13),X_13) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_83,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8,c_76]) ).
tff(c_80167,plain,
! [X_514,Y_515,Z_516] : ( multiply(multiply(X_514,Y_515),Z_516) = multiply(X_514,multiply(Y_515,Z_516)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_80200,plain,
! [Z_516] : ( multiply(sk_c7,multiply(sk_c8,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_80167]) ).
tff(c_80217,plain,
! [Z_517] : ( multiply(sk_c7,multiply(sk_c8,Z_517)) = Z_517 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80200]) ).
tff(c_80238,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_80217]) ).
tff(c_14534,plain,
! [X_174,Y_175,Z_176] : ( multiply(multiply(X_174,Y_175),Z_176) = multiply(X_174,multiply(Y_175,Z_176)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14579,plain,
! [X_2,Z_176] : ( multiply(inverse(X_2),multiply(X_2,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14534]) ).
tff(c_14592,plain,
! [X_2,Z_176] : ( multiply(inverse(X_2),multiply(X_2,Z_176)) = Z_176 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14579]) ).
tff(c_19475,plain,
! [X_233,Z_234] : ( multiply(inverse(X_233),multiply(X_233,Z_234)) = Z_234 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14579]) ).
tff(c_19783,plain,
! [X_238,Z_239] : ( multiply(inverse(inverse(X_238)),Z_239) = multiply(X_238,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_14592,c_19475]) ).
tff(c_19830,plain,
! [X_238] : ( multiply(X_238,inverse(X_238)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19783]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_119,plain,
multiply(sk_c2,sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_149,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_182,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_149]) ).
tff(c_1808,plain,
! [X_48,Z_49] : ( multiply(inverse(X_48),multiply(X_48,Z_49)) = Z_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182]) ).
tff(c_193,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182]) ).
tff(c_1948,plain,
! [X_51,Z_52] : ( multiply(inverse(inverse(X_51)),Z_52) = multiply(X_51,Z_52) ),
inference(superposition,[status(thm),theory(equality)],[c_1808,c_193]) ).
tff(c_1986,plain,
! [X_51] : ( multiply(X_51,inverse(X_51)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1948]) ).
tff(c_48,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_102,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_106,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_102,c_4]) ).
tff(c_173,plain,
! [Z_16] : ( multiply(sk_c3,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_149]) ).
tff(c_247,plain,
! [Z_19] : ( multiply(sk_c3,multiply(sk_c2,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_268,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_119,c_247]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_124,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_219,plain,
! [Z_18] : ( multiply(sk_c2,multiply(sk_c3,Z_18)) = multiply(sk_c7,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_149]) ).
tff(c_231,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c2,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_124,c_219]) ).
tff(c_238,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_83,c_231]) ).
tff(c_179,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c8,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_149]) ).
tff(c_195,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c8,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_207,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_195]) ).
tff(c_262,plain,
multiply(sk_c3,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_238,c_247]) ).
tff(c_170,plain,
! [Z_16] : ( multiply(sk_c2,multiply(sk_c3,Z_16)) = multiply(sk_c7,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_149]) ).
tff(c_286,plain,
multiply(sk_c7,identity) = multiply(sk_c2,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_262,c_170]) ).
tff(c_292,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_207,c_286]) ).
tff(c_20,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_129,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_296,plain,
multiply(identity,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_292,c_129]) ).
tff(c_299,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_296]) ).
tff(c_402,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_124]) ).
tff(c_405,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_402]) ).
tff(c_410,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_299]) ).
tff(c_297,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_292,c_94]) ).
tff(c_448,plain,
multiply(sk_c3,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_410,c_297]) ).
tff(c_413,plain,
multiply(sk_c2,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_238]) ).
tff(c_190,plain,
! [Z_16] : ( multiply(sk_c3,multiply(sk_c2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_461,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_413,c_190]) ).
tff(c_467,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_448,c_461]) ).
tff(c_1829,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1808]) ).
tff(c_1955,plain,
! [X_51] : ( multiply(X_51,identity) = X_51 ),
inference(superposition,[status(thm),theory(equality)],[c_1948,c_1829]) ).
tff(c_515,plain,
! [X_21,Z_22] : ( multiply(inverse(X_21),multiply(X_21,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182]) ).
tff(c_627,plain,
! [X_24,Z_25] : ( multiply(inverse(inverse(X_24)),Z_25) = multiply(X_24,Z_25) ),
inference(superposition,[status(thm),theory(equality)],[c_193,c_515]) ).
tff(c_542,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_515]) ).
tff(c_634,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_627,c_542]) ).
tff(c_306,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_124]) ).
tff(c_309,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_306]) ).
tff(c_308,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_8]) ).
tff(c_328,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_309,c_309,c_308]) ).
tff(c_275,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_268,c_170]) ).
tff(c_281,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119,c_275]) ).
tff(c_344,plain,
multiply(sk_c3,sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_309,c_309,c_309,c_281]) ).
tff(c_314,plain,
sk_c8 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_309,c_299]) ).
tff(c_60,plain,
! [X3_8,X1_9,X5_6,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_62,plain,
! [X3_8,X1_9,X5_6,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_60]) ).
tff(c_304,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_375,plain,
! [X4_20] :
( ( multiply(X4_20,sk_c3) != sk_c3 )
| ( inverse(X4_20) != sk_c3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_314,c_314,c_309,c_304]) ).
tff(c_381,plain,
inverse(sk_c3) != sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_344,c_375]) ).
tff(c_399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_328,c_381]) ).
tff(c_400,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_470,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c3) != sk_c3 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c3 )
| ( multiply(X1_9,sk_c3) != sk_c3 )
| ( inverse(X1_9) != sk_c3 )
| ( inverse(X3_8) != sk_c3 )
| ( multiply(sk_c3,multiply(X3_8,sk_c3)) != sk_c3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410,c_410,c_405,c_410,c_410,c_410,c_405,c_405,c_410,c_405,c_400]) ).
tff(c_471,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c3 )
| ( multiply(sk_c3,multiply(X3_8,sk_c3)) != sk_c3 ) ),
inference(splitLeft,[status(thm)],[c_470]) ).
tff(c_1788,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_634,c_467,c_467,c_2,c_467,c_467,c_471]) ).
tff(c_404,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_8]) ).
tff(c_424,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_405,c_404]) ).
tff(c_476,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_467,c_467,c_424]) ).
tff(c_1790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1788,c_476]) ).
tff(c_1791,plain,
! [X1_9,X5_6] :
( ( multiply(X1_9,sk_c3) != sk_c3 )
| ( inverse(X1_9) != sk_c3 )
| ( multiply(inverse(X5_6),sk_c3) != sk_c3 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c3 ) ),
inference(splitRight,[status(thm)],[c_470]) ).
tff(c_14275,plain,
! [X1_9,X5_6] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1986,c_467,c_1955,c_467,c_467,c_467,c_1955,c_467,c_467,c_1791]) ).
tff(c_14276,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_14275]) ).
tff(c_1796,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_467,c_467,c_424]) ).
tff(c_14278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14276,c_1796]) ).
tff(c_14280,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_14275]) ).
tff(c_14282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14280,c_1796]) ).
tff(c_14284,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_14334,plain,
! [X_169,Y_170,Z_171] : ( multiply(multiply(X_169,Y_170),Z_171) = multiply(X_169,multiply(Y_170,Z_171)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14376,plain,
! [Z_171] : ( multiply(sk_c7,multiply(sk_c8,Z_171)) = multiply(identity,Z_171) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_14334]) ).
tff(c_14394,plain,
! [Z_172] : ( multiply(sk_c7,multiply(sk_c8,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14376]) ).
tff(c_14415,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_14394]) ).
tff(c_14283,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_14288,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14283,c_4]) ).
tff(c_14412,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14288,c_14394]) ).
tff(c_14472,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14415,c_14412]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_14328,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14284,c_22]) ).
tff(c_14473,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14472,c_14328]) ).
tff(c_14477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14284,c_14473]) ).
tff(c_14479,plain,
multiply(sk_c3,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_54,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_14520,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14479,c_54]) ).
tff(c_14576,plain,
! [Z_176] : ( multiply(sk_c7,multiply(sk_c8,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_14534]) ).
tff(c_14594,plain,
! [Z_177] : ( multiply(sk_c7,multiply(sk_c8,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14576]) ).
tff(c_14606,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14520,c_14594]) ).
tff(c_14570,plain,
! [Z_176] : ( multiply(sk_c3,multiply(sk_c2,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_14534]) ).
tff(c_14678,plain,
! [Z_179] : ( multiply(sk_c3,multiply(sk_c2,Z_179)) = Z_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14570]) ).
tff(c_14696,plain,
multiply(sk_c3,sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_119,c_14678]) ).
tff(c_14567,plain,
! [Z_176] : ( multiply(sk_c2,multiply(sk_c3,Z_176)) = multiply(sk_c7,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_14534]) ).
tff(c_14848,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_14696,c_14567]) ).
tff(c_14854,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_119,c_14606,c_14848]) ).
tff(c_14856,plain,
multiply(sk_c3,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_14696]) ).
tff(c_19505,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14856,c_19475]) ).
tff(c_19548,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19505]) ).
tff(c_19538,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19475]) ).
tff(c_19793,plain,
! [X_238] : ( multiply(X_238,identity) = X_238 ),
inference(superposition,[status(thm),theory(equality)],[c_19783,c_19538]) ).
tff(c_14862,plain,
multiply(sk_c8,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_14520]) ).
tff(c_14615,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_14594]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_14501,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14479,c_58]) ).
tff(c_14505,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14501,c_4]) ).
tff(c_14609,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14505,c_14594]) ).
tff(c_14654,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14615,c_14609]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_14526,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14479,c_56]) ).
tff(c_14655,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14654,c_14526]) ).
tff(c_19520,plain,
multiply(inverse(sk_c1),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14655,c_19475]) ).
tff(c_19550,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14862,c_90,c_19520]) ).
tff(c_19568,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19548,c_19550]) ).
tff(c_14965,plain,
! [X_183,Z_184] : ( multiply(inverse(X_183),multiply(X_183,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14579]) ).
tff(c_15285,plain,
! [X_188,Z_189] : ( multiply(inverse(inverse(X_188)),Z_189) = multiply(X_188,Z_189) ),
inference(superposition,[status(thm),theory(equality)],[c_14592,c_14965]) ).
tff(c_15034,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14965]) ).
tff(c_15295,plain,
! [X_188] : ( multiply(X_188,identity) = X_188 ),
inference(superposition,[status(thm),theory(equality)],[c_15285,c_15034]) ).
tff(c_14858,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_14854,c_14606]) ).
tff(c_15004,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14858,c_14965]) ).
tff(c_15047,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15004]) ).
tff(c_14573,plain,
! [Z_176] : ( multiply(sk_c8,multiply(sk_c1,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_94,c_14534]) ).
tff(c_14945,plain,
! [Z_182] : ( multiply(sk_c8,multiply(sk_c1,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14573]) ).
tff(c_14960,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14655,c_14945]) ).
tff(c_14964,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14862,c_14960]) ).
tff(c_15107,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15047,c_14964]) ).
tff(c_14704,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_14696,c_14567]) ).
tff(c_14710,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14606,c_119,c_14704]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_14492,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_14718,plain,
multiply(sk_c1,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14710,c_14492]) ).
tff(c_14700,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_14767,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c6) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14710,c_14700]) ).
tff(c_14809,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14718,c_14767]) ).
tff(c_14818,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_90,c_14809]) ).
tff(c_14819,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_14894,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c6 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c6 )
| ( multiply(X1_9,sk_c6) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_14854,c_14854,c_14854,c_14819]) ).
tff(c_14895,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_14894]) ).
tff(c_19430,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15295,c_15107,c_2,c_15107,c_15047,c_15107,c_14895]) ).
tff(c_14867,plain,
inverse(sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14854,c_8]) ).
tff(c_15058,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14964,c_14867]) ).
tff(c_15180,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15047,c_15047,c_15058]) ).
tff(c_19432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19430,c_15180]) ).
tff(c_19433,plain,
! [X1_9,X5_6] :
( ( multiply(X1_9,sk_c6) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c6 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_14894]) ).
tff(c_78807,plain,
! [X1_9,X5_6] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19830,c_19548,c_19793,c_19568,c_19548,c_19568,c_19793,c_19568,c_19548,c_19433]) ).
tff(c_78808,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_78807]) ).
tff(c_19557,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19550,c_14867]) ).
tff(c_19658,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19548,c_19548,c_19557]) ).
tff(c_78810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78808,c_19658]) ).
tff(c_78812,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_78807]) ).
tff(c_78814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78812,c_19658]) ).
tff(c_78816,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_78858,plain,
! [X_484,Y_485,Z_486] : ( multiply(multiply(X_484,Y_485),Z_486) = multiply(X_484,multiply(Y_485,Z_486)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_78897,plain,
! [Z_486] : ( multiply(sk_c7,multiply(sk_c8,Z_486)) = multiply(identity,Z_486) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_78858]) ).
tff(c_78915,plain,
! [Z_487] : ( multiply(sk_c7,multiply(sk_c8,Z_487)) = Z_487 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_78897]) ).
tff(c_78936,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_78915]) ).
tff(c_14478,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_14483,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14478,c_4]) ).
tff(c_78933,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14483,c_78915]) ).
tff(c_78971,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_78936,c_78933]) ).
tff(c_78839,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78816,c_22]) ).
tff(c_78972,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_78971,c_78839]) ).
tff(c_78976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78816,c_78972]) ).
tff(c_78978,plain,
multiply(sk_c2,sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_34,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_79033,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_78978,c_34]) ).
tff(c_79038,plain,
! [X_489,Y_490,Z_491] : ( multiply(multiply(X_489,Y_490),Z_491) = multiply(X_489,multiply(Y_490,Z_491)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_79080,plain,
! [Z_491] : ( multiply(sk_c7,multiply(sk_c8,Z_491)) = multiply(identity,Z_491) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_79038]) ).
tff(c_79575,plain,
! [Z_502] : ( multiply(sk_c7,multiply(sk_c8,Z_502)) = Z_502 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79080]) ).
tff(c_79587,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_79033,c_79575]) ).
tff(c_79596,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_79575]) ).
tff(c_38,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_78998,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78978,c_38]) ).
tff(c_79002,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78998,c_4]) ).
tff(c_79590,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_79002,c_79575]) ).
tff(c_79651,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_79596,c_79590]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_79020,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_78978,c_36]) ).
tff(c_79652,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79651,c_79020]) ).
tff(c_79077,plain,
! [Z_491] : ( multiply(sk_c8,multiply(sk_c1,Z_491)) = multiply(identity,Z_491) ),
inference(superposition,[status(thm),theory(equality)],[c_94,c_79038]) ).
tff(c_79804,plain,
! [Z_507] : ( multiply(sk_c8,multiply(sk_c1,Z_507)) = Z_507 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79077]) ).
tff(c_79819,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_79652,c_79804]) ).
tff(c_79829,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79033,c_79819]) ).
tff(c_78991,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_79825,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78991,c_79804]) ).
tff(c_79861,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79587,c_79829,c_79829,c_79825]) ).
tff(c_79841,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79829,c_8]) ).
tff(c_79862,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79861,c_79861,c_79841]) ).
tff(c_79835,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79829,c_79033]) ).
tff(c_79890,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79861,c_79861,c_79835]) ).
tff(c_79864,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79861,c_79829]) ).
tff(c_79693,plain,
! [Z_505] : ( multiply(sk_c8,multiply(sk_c1,Z_505)) = Z_505 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79077]) ).
tff(c_79708,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_79652,c_79693]) ).
tff(c_79718,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79033,c_79708]) ).
tff(c_79714,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78991,c_79693]) ).
tff(c_79750,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79587,c_79718,c_79718,c_79714]) ).
tff(c_79724,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79718,c_79033]) ).
tff(c_79779,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79750,c_79750,c_79724]) ).
tff(c_79730,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79718,c_8]) ).
tff(c_79751,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79750,c_79750,c_79730]) ).
tff(c_79753,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79750,c_79718]) ).
tff(c_79428,plain,
! [Z_498] : ( multiply(sk_c7,multiply(sk_c8,Z_498)) = Z_498 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79080]) ).
tff(c_79449,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_79428]) ).
tff(c_79443,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_79002,c_79428]) ).
tff(c_79504,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_79449,c_79443]) ).
tff(c_79505,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79504,c_79020]) ).
tff(c_79099,plain,
! [Z_492] : ( multiply(sk_c7,multiply(sk_c8,Z_492)) = Z_492 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79080]) ).
tff(c_79111,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_79033,c_79099]) ).
tff(c_79120,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_79099]) ).
tff(c_79114,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_79002,c_79099]) ).
tff(c_79172,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_79120,c_79114]) ).
tff(c_79173,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79172,c_79020]) ).
tff(c_79189,plain,
! [Z_494] : ( multiply(sk_c8,multiply(sk_c1,Z_494)) = Z_494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_79077]) ).
tff(c_79207,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_79173,c_79189]) ).
tff(c_79214,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79033,c_79207]) ).
tff(c_79210,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_78991,c_79189]) ).
tff(c_79270,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79111,c_79214,c_79214,c_79210]) ).
tff(c_79224,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79214,c_83]) ).
tff(c_79342,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79270,c_79270,c_79224]) ).
tff(c_79219,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79214,c_79033]) ).
tff(c_79368,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79342,c_79270,c_79270,c_79219]) ).
tff(c_79225,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_79214,c_8]) ).
tff(c_79273,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79270,c_79270,c_79225]) ).
tff(c_79373,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_79368,c_79368,c_79273]) ).
tff(c_79098,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_79231,plain,
! [X4_495] :
( ( multiply(X4_495,sk_c7) != sk_c7 )
| ( inverse(X4_495) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79214,c_79214,c_79098]) ).
tff(c_79247,plain,
inverse(identity) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2,c_79231]) ).
tff(c_79272,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_79270,c_79247]) ).
tff(c_79371,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_79368,c_79272]) ).
tff(c_79425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79373,c_79371]) ).
tff(c_79426,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_79545,plain,
! [X3_501] :
( ( inverse(X3_501) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_501,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_79426]) ).
tff(c_79551,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_79505,c_79545]) ).
tff(c_79573,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79033,c_90,c_79551]) ).
tff(c_79574,plain,
! [X1_9,X5_6] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_79426]) ).
tff(c_79692,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_79574]) ).
tff(c_79788,plain,
! [X5_506] :
( ( multiply(inverse(X5_506),sk_c6) != sk_c6 )
| ( multiply(X5_506,inverse(X5_506)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79750,c_79753,c_79750,c_79692]) ).
tff(c_79792,plain,
( ( multiply(sk_c6,sk_c6) != sk_c6 )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_79751,c_79788]) ).
tff(c_79802,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79779,c_79751,c_79779,c_79792]) ).
tff(c_79803,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_79574]) ).
tff(c_79899,plain,
! [X1_508] :
( ( multiply(X1_508,sk_c6) != sk_c6 )
| ( inverse(X1_508) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79864,c_79864,c_79861,c_79803]) ).
tff(c_79902,plain,
inverse(sk_c6) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_79890,c_79899]) ).
tff(c_79918,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79862,c_79902]) ).
tff(c_79920,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_79964,plain,
! [X_509,Y_510,Z_511] : ( multiply(multiply(X_509,Y_510),Z_511) = multiply(X_509,multiply(Y_510,Z_511)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_80000,plain,
! [Z_511] : ( multiply(sk_c7,multiply(sk_c8,Z_511)) = multiply(identity,Z_511) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_79964]) ).
tff(c_80019,plain,
! [Z_512] : ( multiply(sk_c7,multiply(sk_c8,Z_512)) = Z_512 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80000]) ).
tff(c_80040,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_94,c_80019]) ).
tff(c_78977,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_78982,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_78977,c_4]) ).
tff(c_80037,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_78982,c_80019]) ).
tff(c_80101,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80040,c_80037]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_79950,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_78978,c_32]) ).
tff(c_80103,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_80101,c_79950]) ).
tff(c_80107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79920,c_80103]) ).
tff(c_80109,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_80135,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_80109,c_44]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_80122,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_80109,c_40]) ).
tff(c_80126,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_80122,c_4]) ).
tff(c_80232,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_80126,c_80217]) ).
tff(c_80514,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80238,c_80232]) ).
tff(c_80108,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_80113,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_80108,c_4]) ).
tff(c_80235,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_80113,c_80217]) ).
tff(c_80257,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_80232,c_80235]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_80149,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_80109,c_46]) ).
tff(c_80258,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80257,c_80149]) ).
tff(c_81109,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80514,c_80258]) ).
tff(c_80197,plain,
! [Z_516] : ( multiply(sk_c8,multiply(sk_c1,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_94,c_80167]) ).
tff(c_81117,plain,
! [Z_534] : ( multiply(sk_c8,multiply(sk_c1,Z_534)) = Z_534 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80197]) ).
tff(c_81132,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_81109,c_81117]) ).
tff(c_81139,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80135,c_81132]) ).
tff(c_81147,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81139,c_83]) ).
tff(c_80229,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_80135,c_80217]) ).
tff(c_81213,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81147,c_80229]) ).
tff(c_81144,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81139,c_80135]) ).
tff(c_81227,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81213,c_81144]) ).
tff(c_81230,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80238,c_81227]) ).
tff(c_81146,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81139,c_90]) ).
tff(c_81141,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81139,c_81109]) ).
tff(c_80833,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80514,c_80258]) ).
tff(c_80841,plain,
! [Z_528] : ( multiply(sk_c8,multiply(sk_c1,Z_528)) = Z_528 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80197]) ).
tff(c_80856,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_80833,c_80841]) ).
tff(c_80863,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80135,c_80856]) ).
tff(c_80893,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80863,c_80833]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_80141,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_80109,c_42]) ).
tff(c_80524,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_80514,c_80141]) ).
tff(c_80894,plain,
multiply(sk_c1,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80863,c_80524]) ).
tff(c_80926,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80893,c_80894]) ).
tff(c_80896,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80863,c_80135]) ).
tff(c_80969,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80926,c_80926,c_80896]) ).
tff(c_80899,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80863,c_83]) ).
tff(c_80986,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80969,c_80926,c_80926,c_80899]) ).
tff(c_80900,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80863,c_8]) ).
tff(c_80928,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80926,c_80926,c_80900]) ).
tff(c_80990,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80986,c_80986,c_80928]) ).
tff(c_80930,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80926,c_80863]) ).
tff(c_80992,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80986,c_80930]) ).
tff(c_80545,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80514,c_80258]) ).
tff(c_80579,plain,
! [Z_524] : ( multiply(sk_c8,multiply(sk_c1,Z_524)) = Z_524 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80197]) ).
tff(c_80597,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_80545,c_80579]) ).
tff(c_80604,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80135,c_80597]) ).
tff(c_80607,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80604,c_80545]) ).
tff(c_80608,plain,
multiply(sk_c1,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80604,c_80524]) ).
tff(c_80667,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80607,c_80608]) ).
tff(c_80675,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80667,c_80667,c_80229]) ).
tff(c_80203,plain,
! [X_2,Z_516] : ( multiply(inverse(X_2),multiply(X_2,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_80167]) ).
tff(c_80723,plain,
! [X_526,Z_527] : ( multiply(inverse(X_526),multiply(X_526,Z_527)) = Z_527 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80203]) ).
tff(c_80744,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_80675,c_80723]) ).
tff(c_80767,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_80744]) ).
tff(c_80674,plain,
multiply(sk_c6,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80667,c_80238]) ).
tff(c_80769,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80767,c_80674]) ).
tff(c_80777,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80769]) ).
tff(c_80614,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80604,c_8]) ).
tff(c_80268,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80238,c_80232]) ).
tff(c_80311,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_80268,c_80258]) ).
tff(c_80191,plain,
! [Z_516] : ( multiply(sk_c8,multiply(sk_c4,Z_516)) = multiply(identity,Z_516) ),
inference(superposition,[status(thm),theory(equality)],[c_80126,c_80167]) ).
tff(c_80211,plain,
! [Z_516] : ( multiply(sk_c8,multiply(sk_c4,Z_516)) = Z_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_80191]) ).
tff(c_80328,plain,
! [Z_519] : ( multiply(sk_c8,multiply(sk_c1,Z_519)) = Z_519 ),
inference(demodulation,[status(thm),theory(equality)],[c_80268,c_80211]) ).
tff(c_80349,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_80311,c_80328]) ).
tff(c_80356,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80135,c_80349]) ).
tff(c_80365,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80356,c_83]) ).
tff(c_80403,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80365,c_80229]) ).
tff(c_80362,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80356,c_80135]) ).
tff(c_80430,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80238,c_80403,c_80362]) ).
tff(c_80366,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_80356,c_8]) ).
tff(c_80267,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_80378,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X4_11) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80356,c_80356,c_80267]) ).
tff(c_80407,plain,
( ( sk_c7 != identity )
| ( inverse(sk_c7) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_80365,c_80378]) ).
tff(c_80414,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_80366,c_80407]) ).
tff(c_80432,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_80430,c_80414]) ).
tff(c_80435,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80430,c_80430,c_80366]) ).
tff(c_80482,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_80435,c_4]) ).
tff(c_80438,plain,
sk_c8 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80430,c_80356]) ).
tff(c_80278,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_80268,c_80141]) ).
tff(c_80346,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_80278,c_80328]) ).
tff(c_80511,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_80482,c_80438,c_80438,c_80430,c_80346]) ).
tff(c_80512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80432,c_80511]) ).
tff(c_80513,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_80533,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_80513]) ).
tff(c_80641,plain,
! [X3_525] :
( ( inverse(X3_525) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_525,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80604,c_80604,c_80604,c_80533]) ).
tff(c_80655,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_80641]) ).
tff(c_80665,plain,
sk_c7 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80238,c_80614,c_80614,c_80655]) ).
tff(c_80668,plain,
sk_c6 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_80667,c_80665]) ).
tff(c_80773,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_80767,c_80668]) ).
tff(c_80819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80777,c_80773]) ).
tff(c_80820,plain,
! [X1_9,X5_6] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_80513]) ).
tff(c_80825,plain,
! [X5_6] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_80820]) ).
tff(c_80938,plain,
! [X5_530] :
( ( multiply(inverse(X5_530),sk_c8) != sk_c6 )
| ( multiply(X5_530,inverse(X5_530)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80926,c_80926,c_80825]) ).
tff(c_80941,plain,
( ( sk_c6 != identity )
| ( multiply(sk_c8,inverse(sk_c8)) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_80938]) ).
tff(c_81100,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80990,c_80992,c_2,c_80992,c_80986,c_80986,c_80941]) ).
tff(c_81101,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_80820]) ).
tff(c_81160,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81139,c_81139,c_81101]) ).
tff(c_81188,plain,
( ( sk_c7 != sk_c6 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_81141,c_81160]) ).
tff(c_81195,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81146,c_81188]) ).
tff(c_81228,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_81213,c_81195]) ).
tff(c_81297,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_81230,c_81228]) ).
tff(c_81148,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81139,c_8]) ).
tff(c_81181,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81148,c_4]) ).
tff(c_81298,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81230,c_81230,c_81181]) ).
tff(c_81142,plain,
multiply(sk_c1,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81139,c_80524]) ).
tff(c_81354,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81298,c_81230,c_81230,c_81142]) ).
tff(c_81355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81297,c_81354]) ).
tff(c_81357,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_81411,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_81357,c_14]) ).
tff(c_81460,plain,
! [Z_541] : ( multiply(sk_c7,multiply(sk_c8,Z_541)) = multiply(identity,Z_541) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_81427]) ).
tff(c_81528,plain,
! [Z_544] : ( multiply(sk_c7,multiply(sk_c8,Z_544)) = Z_544 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81460]) ).
tff(c_81546,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_81411,c_81528]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_81382,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_81357,c_10]) ).
tff(c_81386,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81382,c_4]) ).
tff(c_81549,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_81386,c_81528]) ).
tff(c_81356,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_81361,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81356,c_4]) ).
tff(c_81552,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_81361,c_81528]) ).
tff(c_81571,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_81549,c_81552]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_81397,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_81357,c_16]) ).
tff(c_81573,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81571,c_81397]) ).
tff(c_81451,plain,
! [Z_541] : ( multiply(sk_c8,multiply(sk_c4,Z_541)) = multiply(identity,Z_541) ),
inference(superposition,[status(thm),theory(equality)],[c_81386,c_81427]) ).
tff(c_81471,plain,
! [Z_541] : ( multiply(sk_c8,multiply(sk_c4,Z_541)) = Z_541 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81451]) ).
tff(c_81691,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_81573,c_81471]) ).
tff(c_81697,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81411,c_81691]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_81406,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_81357,c_12]) ).
tff(c_81477,plain,
! [Z_542] : ( multiply(sk_c8,multiply(sk_c4,Z_542)) = Z_542 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81451]) ).
tff(c_81489,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_81406,c_81477]) ).
tff(c_81701,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81697,c_81697,c_81489]) ).
tff(c_81710,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81546,c_81701]) ).
tff(c_81703,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81697,c_81411]) ).
tff(c_87979,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81710,c_81710,c_81703]) ).
tff(c_88006,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_87979,c_87988]) ).
tff(c_88034,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_88006]) ).
tff(c_88027,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_87988]) ).
tff(c_88168,plain,
! [X_616] : ( multiply(X_616,identity) = X_616 ),
inference(superposition,[status(thm),theory(equality)],[c_88158,c_88027]) ).
tff(c_81792,plain,
! [X_546,Z_547] : ( multiply(inverse(X_546),multiply(X_546,Z_547)) = Z_547 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_81463]) ).
tff(c_81950,plain,
! [X_550,Z_551] : ( multiply(inverse(inverse(X_550)),Z_551) = multiply(X_550,Z_551) ),
inference(superposition,[status(thm),theory(equality)],[c_81792,c_81475]) ).
tff(c_81819,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_81792]) ).
tff(c_81957,plain,
! [X_550] : ( multiply(X_550,identity) = X_550 ),
inference(superposition,[status(thm),theory(equality)],[c_81950,c_81819]) ).
tff(c_81708,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81697,c_83]) ).
tff(c_81753,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81710,c_81710,c_81708]) ).
tff(c_81770,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81753,c_81710,c_81710,c_81703]) ).
tff(c_81715,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81710,c_81697]) ).
tff(c_81586,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_81573,c_81471]) ).
tff(c_81592,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81411,c_81586]) ).
tff(c_81596,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81592,c_81592,c_81489]) ).
tff(c_81605,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81546,c_81596]) ).
tff(c_81604,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81592,c_8]) ).
tff(c_81617,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81605,c_81605,c_81604]) ).
tff(c_81603,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81592,c_83]) ).
tff(c_81646,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81605,c_81605,c_81603]) ).
tff(c_81610,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81605,c_81592]) ).
tff(c_81582,plain,
! [X4_11] :
( ( multiply(X4_11,sk_c7) != sk_c8 )
| ( inverse(X4_11) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_81656,plain,
! [X4_545] :
( ( multiply(X4_545,sk_c6) != sk_c6 )
| ( inverse(X4_545) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81610,c_81610,c_81605,c_81582]) ).
tff(c_81659,plain,
( ( sk_c6 != identity )
| ( inverse(sk_c6) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_81646,c_81656]) ).
tff(c_81673,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_81617,c_81659]) ).
tff(c_81598,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81592,c_81411]) ).
tff(c_81685,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81646,c_81605,c_81605,c_81598]) ).
tff(c_81686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81673,c_81685]) ).
tff(c_81687,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_81726,plain,
! [X5_6,X1_9,X3_8] :
( ( multiply(inverse(X5_6),sk_c6) != sk_c6 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c6 )
| ( multiply(X1_9,sk_c6) != sk_c6 )
| ( inverse(X1_9) != sk_c6 )
| ( inverse(X3_8) != sk_c6 )
| ( multiply(sk_c6,multiply(X3_8,sk_c6)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81715,c_81715,c_81710,c_81715,c_81715,c_81715,c_81710,c_81710,c_81715,c_81710,c_81687]) ).
tff(c_81727,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c6 )
| ( multiply(sk_c6,multiply(X3_8,sk_c6)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_81726]) ).
tff(c_87950,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_81957,c_81770,c_81770,c_2,c_81770,c_81770,c_81727]) ).
tff(c_81709,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_81697,c_8]) ).
tff(c_81736,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81710,c_81710,c_81709]) ).
tff(c_81775,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81770,c_81770,c_81736]) ).
tff(c_87952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87950,c_81775]) ).
tff(c_87953,plain,
! [X1_9,X5_6] :
( ( multiply(X1_9,sk_c6) != sk_c6 )
| ( inverse(X1_9) != sk_c6 )
| ( multiply(inverse(X5_6),sk_c6) != sk_c6 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_81726]) ).
tff(c_133257,plain,
! [X1_9,X5_6] :
( ( identity != X1_9 )
| ( inverse(X1_9) != identity )
| ( inverse(X5_6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88182,c_88034,c_88168,c_88034,c_88034,c_88034,c_88168,c_88034,c_88034,c_87953]) ).
tff(c_133258,plain,
! [X5_6] : ( inverse(X5_6) != identity ),
inference(splitLeft,[status(thm)],[c_133257]) ).
tff(c_87954,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_81710,c_81710,c_81709]) ).
tff(c_88040,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_88034,c_88034,c_87954]) ).
tff(c_133260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133258,c_88040]) ).
tff(c_133262,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_133257]) ).
tff(c_133264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133262,c_88040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15 % 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
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 21:57:52 EDT 2023
% 0.22/0.37 % CPUTime :
% 24.85/13.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.14/13.65
% 25.14/13.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 25.26/13.74
% 25.26/13.74 Inference rules
% 25.26/13.74 ----------------------
% 25.26/13.74 #Ref : 0
% 25.26/13.74 #Sup : 31771
% 25.26/13.74 #Fact : 0
% 25.26/13.74 #Define : 0
% 25.26/13.74 #Split : 25
% 25.26/13.74 #Chain : 0
% 25.26/13.74 #Close : 0
% 25.26/13.74
% 25.26/13.74 Ordering : KBO
% 25.26/13.74
% 25.26/13.74 Simplification rules
% 25.26/13.74 ----------------------
% 25.26/13.74 #Subsume : 3
% 25.26/13.74 #Demod : 105259
% 25.26/13.74 #Tautology : 25670
% 25.26/13.74 #SimpNegUnit : 50
% 25.26/13.74 #BackRed : 451
% 25.26/13.74
% 25.26/13.74 #Partial instantiations: 0
% 25.26/13.74 #Strategies tried : 1
% 25.26/13.74
% 25.26/13.74 Timing (in seconds)
% 25.26/13.74 ----------------------
% 25.26/13.75 Preprocessing : 0.50
% 25.26/13.75 Parsing : 0.20
% 25.26/13.75 CNF conversion : 0.03
% 25.26/13.75 Main loop : 11.98
% 25.26/13.75 Inferencing : 2.22
% 25.26/13.75 Reduction : 7.93
% 25.26/13.75 Demodulation : 7.48
% 25.26/13.75 BG Simplification : 0.18
% 25.26/13.75 Subsumption : 1.17
% 25.26/13.75 Abstraction : 0.50
% 25.26/13.75 MUC search : 0.00
% 25.26/13.75 Cooper : 0.00
% 25.26/13.75 Total : 12.70
% 25.26/13.75 Index Insertion : 0.00
% 25.26/13.75 Index Deletion : 0.00
% 25.26/13.75 Index Matching : 0.00
% 25.26/13.75 BG Taut test : 0.00
%------------------------------------------------------------------------------