TSTP Solution File: GRP311-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP311-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n019.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 10:40:52 EDT 2023
% Result : Unsatisfiable 11.82s 4.15s
% Output : CNFRefutation 12.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 42
% Syntax : Number of formulae : 429 ( 343 unt; 10 typ; 0 def)
% Number of atoms : 564 ( 543 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 288 ( 143 ~; 145 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 190 (; 190 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_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_149,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c7) = sk_c5 )
| ( inverse(sk_c3) = 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_113,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X3,X4,X1,X2] :
( ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( inverse(sk_c7) != sk_c5 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( multiply(sk_c7,X3) != sk_c6 )
| ( multiply(X4,sk_c7) != X3 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( multiply(X2,sk_c5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c7,sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c7) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
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_64,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_85,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_20,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_98,plain,
inverse(sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_102,plain,
multiply(sk_c5,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_10162,plain,
! [X_137,Y_138,Z_139] : ( multiply(multiply(X_137,Y_138),Z_139) = multiply(X_137,multiply(Y_138,Z_139)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10201,plain,
! [Z_139] : ( multiply(sk_c5,multiply(sk_c7,Z_139)) = multiply(identity,Z_139) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_10162]) ).
tff(c_10221,plain,
! [Z_140] : ( multiply(sk_c5,multiply(sk_c7,Z_140)) = Z_140 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10201]) ).
tff(c_10239,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_10221]) ).
tff(c_40,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_117,plain,
multiply(sk_c7,sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_9824,plain,
! [X_129,Y_130,Z_131] : ( multiply(multiply(X_129,Y_130),Z_131) = multiply(X_129,multiply(Y_130,Z_131)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9860,plain,
! [Z_131] : ( multiply(sk_c5,multiply(sk_c7,Z_131)) = multiply(identity,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9824]) ).
tff(c_9895,plain,
! [Z_133] : ( multiply(sk_c5,multiply(sk_c7,Z_133)) = Z_133 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9860]) ).
tff(c_9913,plain,
multiply(sk_c5,sk_c6) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_117,c_9895]) ).
tff(c_8788,plain,
! [X_113,Y_114,Z_115] : ( multiply(multiply(X_113,Y_114),Z_115) = multiply(X_113,multiply(Y_114,Z_115)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8827,plain,
! [Z_115] : ( multiply(sk_c5,multiply(sk_c7,Z_115)) = multiply(identity,Z_115) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_8788]) ).
tff(c_8847,plain,
! [Z_116] : ( multiply(sk_c5,multiply(sk_c7,Z_116)) = Z_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8827]) ).
tff(c_8862,plain,
multiply(sk_c5,sk_c6) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_117,c_8847]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_122,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_8872,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_8862,c_122]) ).
tff(c_8889,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8872,c_98]) ).
tff(c_8899,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_8889,c_4]) ).
tff(c_68,plain,
! [X2_9,X1_8,X4_7] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_7,sk_c7)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( inverse(sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_8911,plain,
! [X2_9,X1_8,X4_7] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c2 )
| ( inverse(X1_8) != sk_c2 )
| ( multiply(sk_c6,sk_c2) != sk_c5 )
| ( inverse(X4_7) != sk_c2 )
| ( multiply(sk_c2,multiply(X4_7,sk_c2)) != sk_c6 )
| ( multiply(sk_c2,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8872,c_8889,c_8872,c_8872,c_8862,c_8872,c_8872,c_8872,c_8872,c_8872,c_8872,c_68]) ).
tff(c_8912,plain,
multiply(sk_c2,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_8911]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_111,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_8887,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8872,c_111]) ).
tff(c_8951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8912,c_8887]) ).
tff(c_8953,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_8911]) ).
tff(c_8865,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_111,c_8847]) ).
tff(c_153,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_180,plain,
! [Z_14] : ( multiply(sk_c5,multiply(sk_c7,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_153]) ).
tff(c_198,plain,
! [Z_15] : ( multiply(sk_c5,multiply(sk_c7,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_180]) ).
tff(c_210,plain,
multiply(sk_c5,sk_c6) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_117,c_198]) ).
tff(c_220,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_210,c_122]) ).
tff(c_233,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_220,c_98]) ).
tff(c_243,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_233,c_4]) ).
tff(c_230,plain,
multiply(sk_c2,sk_c2) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_220,c_117]) ).
tff(c_235,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_220,c_85]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_134,plain,
multiply(sk_c1,sk_c7) = sk_c2,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_229,plain,
multiply(sk_c1,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_220,c_134]) ).
tff(c_186,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_153]) ).
tff(c_196,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_539,plain,
multiply(inverse(sk_c1),sk_c2) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_229,c_196]) ).
tff(c_545,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_235,c_539]) ).
tff(c_550,plain,
multiply(sk_c5,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_545,c_210]) ).
tff(c_551,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_243,c_550]) ).
tff(c_556,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_545]) ).
tff(c_444,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_703,plain,
! [X_23,Z_24] : ( multiply(inverse(inverse(X_23)),Z_24) = multiply(X_23,Z_24) ),
inference(superposition,[status(thm),theory(equality)],[c_196,c_444]) ).
tff(c_474,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_444]) ).
tff(c_714,plain,
! [X_23] : ( multiply(X_23,identity) = X_23 ),
inference(superposition,[status(thm),theory(equality)],[c_703,c_474]) ).
tff(c_560,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_233]) ).
tff(c_440,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_235,c_4]) ).
tff(c_604,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_551,c_440]) ).
tff(c_559,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_235]) ).
tff(c_610,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_560,c_604,c_559]) ).
tff(c_303,plain,
! [X_16,Z_17] : ( multiply(inverse(X_16),multiply(X_16,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_186]) ).
tff(c_321,plain,
multiply(inverse(sk_c1),sk_c2) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_229,c_303]) ).
tff(c_358,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_235,c_321]) ).
tff(c_364,plain,
multiply(sk_c5,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_210]) ).
tff(c_365,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_243,c_364]) ).
tff(c_375,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_233]) ).
tff(c_253,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_235,c_4]) ).
tff(c_385,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_365,c_253]) ).
tff(c_374,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_365,c_235]) ).
tff(c_406,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_375,c_385,c_374]) ).
tff(c_248,plain,
! [X2_9,X1_8,X4_7] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c2 )
| ( inverse(X1_8) != sk_c2 )
| ( multiply(sk_c6,sk_c2) != sk_c5 )
| ( inverse(X4_7) != sk_c2 )
| ( multiply(sk_c2,multiply(X4_7,sk_c2)) != sk_c6 )
| ( multiply(sk_c2,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_220,c_233,c_220,c_220,c_210,c_220,c_220,c_220,c_220,c_220,c_220,c_68]) ).
tff(c_249,plain,
multiply(sk_c2,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_248]) ).
tff(c_363,plain,
multiply(sk_c2,sk_c2) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_249]) ).
tff(c_434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_406,c_365,c_2,c_365,c_363]) ).
tff(c_435,plain,
! [X4_7,X1_8,X2_9] :
( ( multiply(sk_c6,sk_c2) != sk_c5 )
| ( inverse(X4_7) != sk_c2 )
| ( multiply(sk_c2,multiply(X4_7,sk_c2)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c2 )
| ( inverse(X1_8) != sk_c2 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_248]) ).
tff(c_8723,plain,
! [X4_7,X1_8,X2_9] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_714,c_610,c_556,c_551,c_714,c_556,c_551,c_714,c_556,c_551,c_2,c_551,c_551,c_610,c_2,c_556,c_551,c_435]) ).
tff(c_8725,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8723]) ).
tff(c_611,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_610,c_560]) ).
tff(c_8727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8725,c_611]) ).
tff(c_8728,plain,
! [X1_8,X4_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 ) ),
inference(splitRight,[status(thm)],[c_8723]) ).
tff(c_8730,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8728]) ).
tff(c_8732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8730,c_611]) ).
tff(c_8735,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8728]) ).
tff(c_8737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8735,c_611]) ).
tff(c_8738,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_8739,plain,
multiply(sk_c1,sk_c7) != sk_c2,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_8774,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_8739,c_56]) ).
tff(c_8833,plain,
! [X_2,Z_115] : ( multiply(inverse(X_2),multiply(X_2,Z_115)) = multiply(identity,Z_115) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_8788]) ).
tff(c_8961,plain,
! [X_117,Z_118] : ( multiply(inverse(X_117),multiply(X_117,Z_118)) = Z_118 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_8833]) ).
tff(c_8994,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_8774,c_8961]) ).
tff(c_9010,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8738,c_8994]) ).
tff(c_8818,plain,
! [Z_115] : ( multiply(sk_c5,multiply(sk_c6,Z_115)) = multiply(sk_c7,Z_115) ),
inference(superposition,[status(thm),theory(equality)],[c_122,c_8788]) ).
tff(c_9173,plain,
! [Z_120] : ( multiply(sk_c5,multiply(sk_c6,Z_120)) = multiply(sk_c2,Z_120) ),
inference(demodulation,[status(thm),theory(equality)],[c_8872,c_8818]) ).
tff(c_9191,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c2,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_9010,c_9173]) ).
tff(c_9199,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8953,c_8865,c_9191]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_8781,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_8739,c_48]) ).
tff(c_8881,plain,
multiply(sk_c6,sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8872,c_8781]) ).
tff(c_9205,plain,
multiply(sk_c5,sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9199,c_8881]) ).
tff(c_9214,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8899,c_9205]) ).
tff(c_8868,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_8847]) ).
tff(c_9222,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9214,c_8868]) ).
tff(c_9224,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9222]) ).
tff(c_8885,plain,
multiply(sk_c1,sk_c2) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_8872,c_8739]) ).
tff(c_9269,plain,
multiply(identity,sk_c2) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_9224,c_8885]) ).
tff(c_9275,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9269]) ).
tff(c_9277,plain,
multiply(sk_c5,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_9923,plain,
sk_c7 != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_9913,c_9277]) ).
tff(c_9919,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_9895]) ).
tff(c_9276,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_9310,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9277,c_36]) ).
tff(c_9338,plain,
! [X_122,Y_123,Z_124] : ( multiply(multiply(X_122,Y_123),Z_124) = multiply(X_122,multiply(Y_123,Z_124)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9383,plain,
! [X_2,Z_124] : ( multiply(inverse(X_2),multiply(X_2,Z_124)) = multiply(identity,Z_124) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9338]) ).
tff(c_9454,plain,
! [X_126,Z_127] : ( multiply(inverse(X_126),multiply(X_126,Z_127)) = Z_127 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9383]) ).
tff(c_9484,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9310,c_9454]) ).
tff(c_9500,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9276,c_9484]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_9296,plain,
multiply(sk_c1,sk_c7) = sk_c2,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_9380,plain,
! [Z_124] : ( multiply(sk_c7,multiply(sk_c1,Z_124)) = multiply(identity,Z_124) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_9338]) ).
tff(c_9399,plain,
! [Z_125] : ( multiply(sk_c7,multiply(sk_c1,Z_125)) = Z_125 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9380]) ).
tff(c_9411,plain,
multiply(sk_c7,sk_c2) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9296,c_9399]) ).
tff(c_9415,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_9411]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_9302,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9277,c_30]) ).
tff(c_9420,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9415,c_9302]) ).
tff(c_32,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_9321,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9277,c_32]) ).
tff(c_9418,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9415,c_9321]) ).
tff(c_9395,plain,
! [X_2,Z_124] : ( multiply(inverse(X_2),multiply(X_2,Z_124)) = Z_124 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9383]) ).
tff(c_9608,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9418,c_9395]) ).
tff(c_9614,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9500,c_9420,c_9608]) ).
tff(c_9426,plain,
inverse(sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9415,c_98]) ).
tff(c_9443,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9426,c_4]) ).
tff(c_9637,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9614,c_9443]) ).
tff(c_9505,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9500,c_9395]) ).
tff(c_9511,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9426,c_9505]) ).
tff(c_9711,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9637,c_9614,c_9511]) ).
tff(c_9422,plain,
multiply(sk_c5,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9415,c_9277]) ).
tff(c_9779,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9711,c_9422]) ).
tff(c_9780,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_9785,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9780,c_4]) ).
tff(c_9910,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9785,c_9895]) ).
tff(c_9962,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9919,c_9910]) ).
tff(c_9781,plain,
multiply(sk_c1,sk_c7) != sk_c2,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_9797,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9781,c_52]) ).
tff(c_9963,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9962,c_9797]) ).
tff(c_9866,plain,
! [X_2,Z_131] : ( multiply(inverse(X_2),multiply(X_2,Z_131)) = multiply(identity,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9824]) ).
tff(c_9982,plain,
! [X_135,Z_136] : ( multiply(inverse(X_135),multiply(X_135,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9866]) ).
tff(c_10000,plain,
multiply(inverse(sk_c1),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9963,c_9982]) ).
tff(c_10061,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_10000]) ).
tff(c_9878,plain,
! [X_2,Z_131] : ( multiply(inverse(X_2),multiply(X_2,Z_131)) = Z_131 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9866]) ).
tff(c_10083,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10061,c_9878]) ).
tff(c_10092,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_9913,c_98,c_10083]) ).
tff(c_10094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9923,c_10092]) ).
tff(c_10095,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_10100,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10095,c_4]) ).
tff(c_10233,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10100,c_10221]) ).
tff(c_10764,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10239,c_10233]) ).
tff(c_10096,plain,
multiply(sk_c7,sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_42,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_10147,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10096,c_42]) ).
tff(c_10765,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10764,c_10147]) ).
tff(c_44,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_10125,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10096,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_10142,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10096,c_46]) ).
tff(c_10204,plain,
! [Z_139] : ( multiply(sk_c7,multiply(sk_c1,Z_139)) = multiply(identity,Z_139) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_10162]) ).
tff(c_10218,plain,
! [Z_139] : ( multiply(sk_c7,multiply(sk_c1,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10204]) ).
tff(c_10104,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_38,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_10154,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10096,c_38]) ).
tff(c_10244,plain,
! [X2_9,X1_8,X4_7] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_7,sk_c7)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_98,c_10104,c_10154,c_68]) ).
tff(c_10300,plain,
! [X4_142] :
( ( inverse(X4_142) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_142,sk_c7)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_10244]) ).
tff(c_10304,plain,
( ( inverse(sk_c1) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_10218,c_10300]) ).
tff(c_10327,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_10304]) ).
tff(c_10207,plain,
! [X_2,Z_139] : ( multiply(inverse(X_2),multiply(X_2,Z_139)) = multiply(identity,Z_139) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10162]) ).
tff(c_10369,plain,
! [X_143,Z_144] : ( multiply(inverse(X_143),multiply(X_143,Z_144)) = Z_144 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10207]) ).
tff(c_10411,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10142,c_10369]) ).
tff(c_10448,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10125,c_10411]) ).
tff(c_10219,plain,
! [X_2,Z_139] : ( multiply(inverse(X_2),multiply(X_2,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10207]) ).
tff(c_10456,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10448,c_10219]) ).
tff(c_10408,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10154,c_10369]) ).
tff(c_10619,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10456,c_10408]) ).
tff(c_10621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10327,c_10619]) ).
tff(c_10622,plain,
! [X1_8,X2_9] :
( ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_10244]) ).
tff(c_10739,plain,
! [X2_149] :
( ( multiply(X2_149,sk_c5) != sk_c6 )
| ( inverse(X2_149) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_10622]) ).
tff(c_10749,plain,
inverse(sk_c4) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10142,c_10739]) ).
tff(c_10762,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10125,c_10749]) ).
tff(c_10864,plain,
! [X1_152] :
( ( multiply(X1_152,sk_c6) != sk_c7 )
| ( inverse(X1_152) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_10622]) ).
tff(c_10867,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_10765,c_10864]) ).
tff(c_10889,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_10867]) ).
tff(c_10891,plain,
multiply(sk_c5,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_10931,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10096,c_42]) ).
tff(c_10950,plain,
! [X_153,Y_154,Z_155] : ( multiply(multiply(X_153,Y_154),Z_155) = multiply(X_153,multiply(Y_154,Z_155)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10992,plain,
! [X_2,Z_155] : ( multiply(inverse(X_2),multiply(X_2,Z_155)) = multiply(identity,Z_155) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10950]) ).
tff(c_11125,plain,
! [X_159,Z_160] : ( multiply(inverse(X_159),multiply(X_159,Z_160)) = Z_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10992]) ).
tff(c_11161,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10931,c_11125]) ).
tff(c_11202,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10095,c_11161]) ).
tff(c_11004,plain,
! [X_2,Z_155] : ( multiply(inverse(X_2),multiply(X_2,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10992]) ).
tff(c_11221,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11202,c_11004]) ).
tff(c_11230,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_11221]) ).
tff(c_11232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10891,c_11230]) ).
tff(c_11234,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_11270,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11234,c_16]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_11248,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11234,c_14]) ).
tff(c_11252,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11248,c_4]) ).
tff(c_12615,plain,
! [X_183,Y_184,Z_185] : ( multiply(multiply(X_183,Y_184),Z_185) = multiply(X_183,multiply(Y_184,Z_185)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12642,plain,
! [Z_185] : ( multiply(sk_c6,multiply(sk_c4,Z_185)) = multiply(identity,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_11252,c_12615]) ).
tff(c_12789,plain,
! [Z_189] : ( multiply(sk_c6,multiply(sk_c4,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12642]) ).
tff(c_12804,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11270,c_12789]) ).
tff(c_12654,plain,
! [X_2,Z_185] : ( multiply(inverse(X_2),multiply(X_2,Z_185)) = multiply(identity,Z_185) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12615]) ).
tff(c_12818,plain,
! [X_190,Z_191] : ( multiply(inverse(X_190),multiply(X_190,Z_191)) = Z_191 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12654]) ).
tff(c_12836,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12804,c_12818]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_12600,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11234,c_8]) ).
tff(c_12869,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12600,c_12818]) ).
tff(c_13018,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12836,c_12869]) ).
tff(c_13040,plain,
multiply(sk_c6,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13018,c_11234]) ).
tff(c_13050,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12804,c_13040]) ).
tff(c_13052,plain,
inverse(sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_13094,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13052,c_26]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_13064,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13052,c_24]) ).
tff(c_13068,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13064,c_4]) ).
tff(c_13114,plain,
! [X_194,Y_195,Z_196] : ( multiply(multiply(X_194,Y_195),Z_196) = multiply(X_194,multiply(Y_195,Z_196)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13138,plain,
! [Z_196] : ( multiply(sk_c6,multiply(sk_c4,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_13068,c_13114]) ).
tff(c_13160,plain,
! [Z_197] : ( multiply(sk_c6,multiply(sk_c4,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13138]) ).
tff(c_13172,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13094,c_13160]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_13083,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13052,c_22]) ).
tff(c_13051,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_13056,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13051,c_4]) ).
tff(c_13141,plain,
! [Z_196] : ( multiply(sk_c7,multiply(sk_c3,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_13056,c_13114]) ).
tff(c_13185,plain,
! [Z_198] : ( multiply(sk_c7,multiply(sk_c3,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13141]) ).
tff(c_13197,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13083,c_13185]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_13078,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13052,c_18]) ).
tff(c_13332,plain,
! [Z_203] : ( multiply(sk_c6,multiply(sk_c7,Z_203)) = multiply(sk_c5,Z_203) ),
inference(superposition,[status(thm),theory(equality)],[c_13078,c_13114]) ).
tff(c_13350,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_13197,c_13332]) ).
tff(c_13363,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13172,c_13350]) ).
tff(c_13147,plain,
! [X_2,Z_196] : ( multiply(inverse(X_2),multiply(X_2,Z_196)) = multiply(identity,Z_196) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13114]) ).
tff(c_13158,plain,
! [X_2,Z_196] : ( multiply(inverse(X_2),multiply(X_2,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13147]) ).
tff(c_13367,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13363,c_13158]) ).
tff(c_13373,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13367]) ).
tff(c_13378,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13373,c_13373,c_13197]) ).
tff(c_13388,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13378]) ).
tff(c_13393,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13388,c_13388,c_13172]) ).
tff(c_13398,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13393]) ).
tff(c_13383,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13373,c_13052]) ).
tff(c_13478,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13398,c_13383]) ).
tff(c_13384,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13373,c_13051]) ).
tff(c_13221,plain,
! [X_200,Z_201] : ( multiply(inverse(X_200),multiply(X_200,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13147]) ).
tff(c_13284,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13221]) ).
tff(c_13482,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13384,c_13284]) ).
tff(c_13491,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13482]) ).
tff(c_13494,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13491,c_13384]) ).
tff(c_13497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13478,c_13494]) ).
tff(c_13499,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_26867,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13499,c_66]) ).
tff(c_13498,plain,
inverse(sk_c4) = sk_c6,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_13521,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13498,c_4]) ).
tff(c_26897,plain,
! [X_348,Y_349,Z_350] : ( multiply(multiply(X_348,Y_349),Z_350) = multiply(X_348,multiply(Y_349,Z_350)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26921,plain,
! [Z_350] : ( multiply(sk_c6,multiply(sk_c4,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_13521,c_26897]) ).
tff(c_26939,plain,
! [Z_351] : ( multiply(sk_c6,multiply(sk_c4,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26921]) ).
tff(c_26951,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_26867,c_26939]) ).
tff(c_26927,plain,
! [X_2,Z_350] : ( multiply(inverse(X_2),multiply(X_2,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26897]) ).
tff(c_26987,plain,
! [X_353,Z_354] : ( multiply(inverse(X_353),multiply(X_353,Z_354)) = Z_354 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26927]) ).
tff(c_27011,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26951,c_26987]) ).
tff(c_58,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_26877,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13499,c_58]) ).
tff(c_27020,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26877,c_26987]) ).
tff(c_27130,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27011,c_27020]) ).
tff(c_13584,plain,
! [X_206,Y_207,Z_208] : ( multiply(multiply(X_206,Y_207),Z_208) = multiply(X_206,multiply(Y_207,Z_208)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13617,plain,
! [X_2,Z_208] : ( multiply(inverse(X_2),multiply(X_2,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13584]) ).
tff(c_13628,plain,
! [X_2,Z_208] : ( multiply(inverse(X_2),multiply(X_2,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13617]) ).
tff(c_14441,plain,
! [X_227,Z_228] : ( multiply(inverse(X_227),multiply(X_227,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13617]) ).
tff(c_14574,plain,
! [X_230,Z_231] : ( multiply(inverse(inverse(X_230)),Z_231) = multiply(X_230,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_13628,c_14441]) ).
tff(c_14462,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14441]) ).
tff(c_14581,plain,
! [X_230] : ( multiply(X_230,identity) = X_230 ),
inference(superposition,[status(thm),theory(equality)],[c_14574,c_14462]) ).
tff(c_14093,plain,
! [X_217,Z_218] : ( multiply(inverse(X_217),multiply(X_217,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13617]) ).
tff(c_14174,plain,
! [X_220,Z_221] : ( multiply(inverse(inverse(X_220)),Z_221) = multiply(X_220,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_13628,c_14093]) ).
tff(c_14117,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14093]) ).
tff(c_14181,plain,
! [X_220] : ( multiply(X_220,identity) = X_220 ),
inference(superposition,[status(thm),theory(equality)],[c_14174,c_14117]) ).
tff(c_13552,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13499,c_58]) ).
tff(c_13539,plain,
inverse(sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_13543,plain,
multiply(sk_c5,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13539,c_4]) ).
tff(c_13559,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13499,c_66]) ).
tff(c_13859,plain,
! [Z_215] : ( multiply(sk_c4,multiply(sk_c5,Z_215)) = multiply(sk_c6,Z_215) ),
inference(superposition,[status(thm),theory(equality)],[c_13559,c_13584]) ).
tff(c_13877,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_13543,c_13859]) ).
tff(c_13881,plain,
multiply(sk_c4,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13552,c_13877]) ).
tff(c_13611,plain,
! [Z_208] : ( multiply(sk_c6,multiply(sk_c4,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_13521,c_13584]) ).
tff(c_13626,plain,
! [Z_208] : ( multiply(sk_c6,multiply(sk_c4,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13611]) ).
tff(c_13895,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13881,c_13626]) ).
tff(c_13630,plain,
! [Z_209] : ( multiply(sk_c6,multiply(sk_c4,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13611]) ).
tff(c_13642,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13559,c_13630]) ).
tff(c_13716,plain,
! [Z_212] : ( multiply(sk_c4,multiply(sk_c5,Z_212)) = multiply(sk_c6,Z_212) ),
inference(superposition,[status(thm),theory(equality)],[c_13559,c_13584]) ).
tff(c_13740,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_13543,c_13716]) ).
tff(c_13745,plain,
multiply(sk_c4,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13552,c_13740]) ).
tff(c_13749,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13745,c_13626]) ).
tff(c_62,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_13565,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13499,c_62]) ).
tff(c_60,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_13500,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_13508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13499,c_13500]) ).
tff(c_13509,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_13514,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13509,c_4]) ).
tff(c_13614,plain,
! [Z_208] : ( multiply(sk_c7,multiply(sk_c3,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_13514,c_13584]) ).
tff(c_13653,plain,
! [Z_210] : ( multiply(sk_c7,multiply(sk_c3,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13614]) ).
tff(c_13665,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13565,c_13653]) ).
tff(c_13608,plain,
! [Z_208] : ( multiply(sk_c5,multiply(sk_c7,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_13543,c_13584]) ).
tff(c_13676,plain,
! [Z_211] : ( multiply(sk_c5,multiply(sk_c7,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13608]) ).
tff(c_13688,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13665,c_13676]) ).
tff(c_13731,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_13688,c_13716]) ).
tff(c_13744,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13642,c_13731]) ).
tff(c_13768,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13744,c_13626]) ).
tff(c_13774,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13749,c_13768]) ).
tff(c_13780,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13774,c_13774,c_13665]) ).
tff(c_13792,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13780]) ).
tff(c_13799,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13792,c_13792,c_13642]) ).
tff(c_13805,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13799]) ).
tff(c_13699,plain,
! [X2_9,X1_8,X4_7] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_7,sk_c7)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13539,c_13552,c_68]) ).
tff(c_13700,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_13699]) ).
tff(c_13778,plain,
multiply(identity,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13774,c_13700]) ).
tff(c_13790,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13778]) ).
tff(c_13856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13805,c_13792,c_13790]) ).
tff(c_13857,plain,
! [X4_7,X1_8,X2_9] :
( ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_7,sk_c7)) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_13699]) ).
tff(c_13932,plain,
multiply(sk_c5,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_13857]) ).
tff(c_13933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13932,c_13688]) ).
tff(c_13935,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_13857]) ).
tff(c_13602,plain,
! [Z_208] : ( multiply(sk_c4,multiply(sk_c5,Z_208)) = multiply(sk_c6,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_13559,c_13584]) ).
tff(c_13939,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_13935,c_13602]) ).
tff(c_13945,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13642,c_13939]) ).
tff(c_13994,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13945,c_13626]) ).
tff(c_14000,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13895,c_13994]) ).
tff(c_14007,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14000,c_14000,c_13665]) ).
tff(c_14019,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14007]) ).
tff(c_14028,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14019,c_14019,c_13642]) ).
tff(c_14034,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14028]) ).
tff(c_13934,plain,
! [X2_9,X1_8,X4_7] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( inverse(X4_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_7,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_13857]) ).
tff(c_14046,plain,
! [X2_9,X1_8,X4_7] :
( ( multiply(X2_9,identity) != identity )
| ( inverse(X2_9) != identity )
| ( multiply(X1_8,identity) != identity )
| ( inverse(X1_8) != identity )
| ( inverse(X4_7) != identity )
| ( multiply(X4_7,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14019,c_14000,c_2,c_14000,c_14000,c_14000,c_14019,c_14000,c_14019,c_14034,c_14019,c_13934]) ).
tff(c_14047,plain,
! [X4_7] :
( ( inverse(X4_7) != identity )
| ( multiply(X4_7,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_14046]) ).
tff(c_14437,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14181,c_14047]) ).
tff(c_13694,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_13514,c_13676]) ).
tff(c_14039,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14034,c_13694]) ).
tff(c_14041,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14039]) ).
tff(c_14014,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14000,c_13509]) ).
tff(c_14059,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14041,c_14014]) ).
tff(c_14439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14437,c_14059]) ).
tff(c_14440,plain,
! [X1_8,X2_9] :
( ( multiply(X1_8,identity) != identity )
| ( inverse(X1_8) != identity )
| ( multiply(X2_9,identity) != identity )
| ( inverse(X2_9) != identity ) ),
inference(splitRight,[status(thm)],[c_14046]) ).
tff(c_26850,plain,
! [X1_8,X2_9] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14581,c_14581,c_14440]) ).
tff(c_26852,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_26850]) ).
tff(c_14012,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14000,c_13539]) ).
tff(c_14473,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14034,c_14012]) ).
tff(c_26854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26852,c_14473]) ).
tff(c_26856,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_26850]) ).
tff(c_26858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26856,c_14473]) ).
tff(c_26859,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26924,plain,
! [Z_350] : ( multiply(sk_c7,multiply(sk_c3,Z_350)) = multiply(identity,Z_350) ),
inference(superposition,[status(thm),theory(equality)],[c_13514,c_26897]) ).
tff(c_26962,plain,
! [Z_352] : ( multiply(sk_c7,multiply(sk_c3,Z_352)) = Z_352 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26924]) ).
tff(c_26974,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26859,c_26962]) ).
tff(c_27005,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26974,c_26987]) ).
tff(c_27141,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27130,c_27130,c_27005]) ).
tff(c_27151,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27141]) ).
tff(c_27143,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27130,c_27130,c_26974]) ).
tff(c_27152,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26951,c_27143]) ).
tff(c_27206,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27151,c_27152]) ).
tff(c_26860,plain,
inverse(sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_27147,plain,
inverse(sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27130,c_26860]) ).
tff(c_27237,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27206,c_27151,c_27147]) ).
tff(c_27149,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_27130,c_13509]) ).
tff(c_27238,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27151,c_27149]) ).
tff(c_27041,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26987]) ).
tff(c_27242,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_27238,c_27041]) ).
tff(c_27251,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27242]) ).
tff(c_27254,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27251,c_27238]) ).
tff(c_27256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27237,c_27254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP311-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.36 % Computer : n019.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 22:20:16 EDT 2023
% 0.13/0.36 % CPUTime :
% 11.82/4.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.82/4.18
% 11.82/4.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.14/4.25
% 12.14/4.25 Inference rules
% 12.14/4.25 ----------------------
% 12.14/4.25 #Ref : 0
% 12.14/4.25 #Sup : 6806
% 12.14/4.25 #Fact : 0
% 12.14/4.25 #Define : 0
% 12.14/4.25 #Split : 28
% 12.14/4.25 #Chain : 0
% 12.14/4.25 #Close : 0
% 12.14/4.25
% 12.14/4.25 Ordering : KBO
% 12.14/4.25
% 12.14/4.25 Simplification rules
% 12.14/4.25 ----------------------
% 12.14/4.25 #Subsume : 14
% 12.14/4.25 #Demod : 16101
% 12.14/4.25 #Tautology : 5375
% 12.14/4.25 #SimpNegUnit : 65
% 12.14/4.25 #BackRed : 357
% 12.14/4.25
% 12.14/4.25 #Partial instantiations: 0
% 12.14/4.25 #Strategies tried : 1
% 12.14/4.25
% 12.14/4.25 Timing (in seconds)
% 12.14/4.25 ----------------------
% 12.14/4.26 Preprocessing : 0.51
% 12.14/4.26 Parsing : 0.21
% 12.14/4.26 CNF conversion : 0.03
% 12.14/4.26 Main loop : 2.60
% 12.14/4.26 Inferencing : 0.76
% 12.14/4.26 Reduction : 1.27
% 12.14/4.26 Demodulation : 1.10
% 12.14/4.26 BG Simplification : 0.10
% 12.14/4.26 Subsumption : 0.30
% 12.14/4.26 Abstraction : 0.14
% 12.14/4.26 MUC search : 0.00
% 12.14/4.26 Cooper : 0.00
% 12.14/4.26 Total : 3.23
% 12.14/4.26 Index Insertion : 0.00
% 12.14/4.26 Index Deletion : 0.00
% 12.14/4.26 Index Matching : 0.00
% 12.14/4.26 BG Taut test : 0.00
%------------------------------------------------------------------------------