TSTP Solution File: GRP279-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP279-1 : 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 : 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 10:40:45 EDT 2023
% Result : Unsatisfiable 11.29s 4.11s
% Output : CNFRefutation 11.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 625 ( 522 unt; 11 typ; 0 def)
% Number of atoms : 811 ( 778 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 452 ( 255 ~; 197 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 303 (; 303 !; 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_113,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( multiply(X4,X5) != sk_c8 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = 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_20517,plain,
! [X_304,Y_305,Z_306] : ( multiply(multiply(X_304,Y_305),Z_306) = multiply(X_304,multiply(Y_305,Z_306)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20550,plain,
! [X_2,Z_306] : ( multiply(inverse(X_2),multiply(X_2,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20517]) ).
tff(c_20936,plain,
! [X_317,Z_318] : ( multiply(inverse(X_317),multiply(X_317,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20550]) ).
tff(c_20561,plain,
! [X_2,Z_306] : ( multiply(inverse(X_2),multiply(X_2,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20550]) ).
tff(c_22162,plain,
! [X_338,Z_339] : ( multiply(inverse(inverse(X_338)),Z_339) = multiply(X_338,Z_339) ),
inference(superposition,[status(thm),theory(equality)],[c_20936,c_20561]) ).
tff(c_22183,plain,
! [X_338] : ( multiply(X_338,inverse(X_338)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_22162,c_4]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_117,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_89,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_12387,plain,
! [X_135,Y_136,Z_137] : ( multiply(multiply(X_135,Y_136),Z_137) = multiply(X_135,multiply(Y_136,Z_137)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12429,plain,
! [Z_137] : ( multiply(sk_c3,multiply(sk_c2,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_12387]) ).
tff(c_12459,plain,
! [Z_139] : ( multiply(sk_c3,multiply(sk_c2,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12429]) ).
tff(c_12471,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_117,c_12459]) ).
tff(c_12432,plain,
! [X_2,Z_137] : ( multiply(inverse(X_2),multiply(X_2,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12387]) ).
tff(c_13115,plain,
! [X_152,Z_153] : ( multiply(inverse(X_152),multiply(X_152,Z_153)) = Z_153 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12432]) ).
tff(c_13157,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12471,c_13115]) ).
tff(c_13219,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13157]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_13437,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13219,c_98]) ).
tff(c_13468,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13437,c_4]) ).
tff(c_12444,plain,
! [X_2,Z_137] : ( multiply(inverse(X_2),multiply(X_2,Z_137)) = Z_137 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12432]) ).
tff(c_13495,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_13468,c_12444]) ).
tff(c_13507,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13495]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_111,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_20,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_128,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_154,plain,
! [X_13,Y_14,Z_15] : ( multiply(multiply(X_13,Y_14),Z_15) = multiply(X_13,multiply(Y_14,Z_15)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_181,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_154]) ).
tff(c_199,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_181]) ).
tff(c_211,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_128,c_199]) ).
tff(c_215,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_211]) ).
tff(c_220,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_215,c_111]) ).
tff(c_187,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_154]) ).
tff(c_278,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187]) ).
tff(c_299,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_220,c_278]) ).
tff(c_324,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_299]) ).
tff(c_197,plain,
! [X_2,Z_15] : ( multiply(inverse(X_2),multiply(X_2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_187]) ).
tff(c_616,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_278]) ).
tff(c_317,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_278]) ).
tff(c_623,plain,
! [X_21] : ( multiply(X_21,identity) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_616,c_317]) ).
tff(c_219,plain,
multiply(sk_c2,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_215,c_117]) ).
tff(c_335,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_219,c_197]) ).
tff(c_341,plain,
multiply(sk_c3,sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_335]) ).
tff(c_383,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_341,c_197]) ).
tff(c_389,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_383]) ).
tff(c_637,plain,
! [X_21] : ( multiply(X_21,inverse(X_21)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_616,c_4]) ).
tff(c_68,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_234,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_215,c_215,c_215,c_215,c_215,c_215,c_215,c_215,c_68]) ).
tff(c_235,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_234]) ).
tff(c_252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235,c_220]) ).
tff(c_253,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( multiply(sk_c7,sk_c6) != sk_c6 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_234]) ).
tff(c_8506,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_324,c_623,c_389,c_324,c_389,c_623,c_389,c_324,c_637,c_389,c_623,c_389,c_324,c_623,c_389,c_324,c_389,c_2,c_324,c_253]) ).
tff(c_8508,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8506]) ).
tff(c_222,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_215,c_98]) ).
tff(c_397,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_389,c_222]) ).
tff(c_431,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_397,c_4]) ).
tff(c_452,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_431,c_197]) ).
tff(c_464,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_452]) ).
tff(c_468,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_464,c_397]) ).
tff(c_8510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8508,c_468]) ).
tff(c_8511,plain,
! [X1_8,X4_10,X3_7] :
( ( identity != X1_8 )
| ( inverse(X1_8) != identity )
| ( inverse(X4_10) != identity )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_8506]) ).
tff(c_12320,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8511]) ).
tff(c_12322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12320,c_468]) ).
tff(c_12323,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != identity )
| ( identity != X1_8 )
| ( inverse(X1_8) != identity ) ),
inference(splitRight,[status(thm)],[c_8511]) ).
tff(c_12325,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_12323]) ).
tff(c_12327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12325,c_468]) ).
tff(c_12328,plain,
! [X4_10] : ( inverse(X4_10) != identity ),
inference(splitRight,[status(thm)],[c_12323]) ).
tff(c_12330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12328,c_468]) ).
tff(c_12332,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_12373,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12332,c_22]) ).
tff(c_12331,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_12336,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12331,c_4]) ).
tff(c_12414,plain,
! [Z_137] : ( multiply(sk_c8,multiply(sk_c4,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_12336,c_12387]) ).
tff(c_13034,plain,
! [Z_150] : ( multiply(sk_c8,multiply(sk_c4,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12414]) ).
tff(c_13046,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12373,c_13034]) ).
tff(c_13424,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13219,c_13219,c_13046]) ).
tff(c_13440,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13424]) ).
tff(c_13431,plain,
multiply(sk_c1,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13219,c_12332]) ).
tff(c_13678,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13507,c_13440,c_13431]) ).
tff(c_13679,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_15351,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_15375,plain,
! [X_190,Y_191,Z_192] : ( multiply(multiply(X_190,Y_191),Z_192) = multiply(X_190,multiply(Y_191,Z_192)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15411,plain,
! [Z_192] : ( multiply(sk_c8,multiply(sk_c1,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_15375]) ).
tff(c_15431,plain,
! [Z_193] : ( multiply(sk_c8,multiply(sk_c1,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15411]) ).
tff(c_15443,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15351,c_15431]) ).
tff(c_15447,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_15443]) ).
tff(c_15543,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15447,c_111]) ).
tff(c_15417,plain,
! [X_2,Z_192] : ( multiply(inverse(X_2),multiply(X_2,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15375]) ).
tff(c_15672,plain,
! [X_198,Z_199] : ( multiply(inverse(X_198),multiply(X_198,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15417]) ).
tff(c_15714,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15543,c_15672]) ).
tff(c_15755,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15714]) ).
tff(c_13680,plain,
multiply(sk_c2,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_15362,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13680,c_46]) ).
tff(c_44,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_13693,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13680,c_44]) ).
tff(c_13697,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13693,c_4]) ).
tff(c_15402,plain,
! [Z_192] : ( multiply(sk_c7,multiply(sk_c5,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_13697,c_15375]) ).
tff(c_15649,plain,
! [Z_197] : ( multiply(sk_c7,multiply(sk_c5,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15402]) ).
tff(c_15661,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15362,c_15649]) ).
tff(c_15761,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15755,c_15755,c_15661]) ).
tff(c_15772,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15761]) ).
tff(c_15541,plain,
multiply(sk_c2,sk_c3) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15447,c_13680]) ).
tff(c_15780,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15772,c_15541]) ).
tff(c_15429,plain,
! [X_2,Z_192] : ( multiply(inverse(X_2),multiply(X_2,Z_192)) = Z_192 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15417]) ).
tff(c_16097,plain,
! [X_203,Z_204] : ( multiply(inverse(inverse(X_203)),Z_204) = multiply(X_203,Z_204) ),
inference(superposition,[status(thm),theory(equality)],[c_15429,c_15672]) ).
tff(c_15747,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15672]) ).
tff(c_16152,plain,
! [X_205] : ( multiply(X_205,identity) = X_205 ),
inference(superposition,[status(thm),theory(equality)],[c_16097,c_15747]) ).
tff(c_15741,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_15672]) ).
tff(c_16165,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_16152,c_15741]) ).
tff(c_16242,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16165,c_4]) ).
tff(c_16248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15780,c_16242]) ).
tff(c_16249,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_16251,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_16250,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_16257,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16251,c_16250]) ).
tff(c_16258,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_16281,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_16305,plain,
! [Z_208] : ( multiply(sk_c7,multiply(sk_c5,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_13697,c_16281]) ).
tff(c_16833,plain,
! [Z_221] : ( multiply(sk_c7,multiply(sk_c5,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16305]) ).
tff(c_16845,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16258,c_16833]) ).
tff(c_16320,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_16281]) ).
tff(c_16332,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_16320]) ).
tff(c_16901,plain,
! [Z_224] : ( multiply(sk_c8,multiply(sk_c7,Z_224)) = multiply(sk_c6,Z_224) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_16281]) ).
tff(c_16913,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_16845,c_16901]) ).
tff(c_14432,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_13721,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_13746,plain,
! [X_157,Y_158,Z_159] : ( multiply(multiply(X_157,Y_158),Z_159) = multiply(X_157,multiply(Y_158,Z_159)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13785,plain,
! [Z_159] : ( multiply(sk_c8,multiply(sk_c1,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13746]) ).
tff(c_13902,plain,
! [Z_162] : ( multiply(sk_c8,multiply(sk_c1,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13785]) ).
tff(c_13914,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13721,c_13902]) ).
tff(c_13918,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_13914]) ).
tff(c_13927,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13918,c_111]) ).
tff(c_13791,plain,
! [X_2,Z_159] : ( multiply(inverse(X_2),multiply(X_2,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13746]) ).
tff(c_14056,plain,
! [X_166,Z_167] : ( multiply(inverse(X_166),multiply(X_166,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13791]) ).
tff(c_14101,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13927,c_14056]) ).
tff(c_14140,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14101]) ).
tff(c_13728,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13680,c_46]) ).
tff(c_13776,plain,
! [Z_159] : ( multiply(sk_c7,multiply(sk_c5,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_13697,c_13746]) ).
tff(c_14016,plain,
! [Z_164] : ( multiply(sk_c7,multiply(sk_c5,Z_164)) = Z_164 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13776]) ).
tff(c_14028,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13728,c_14016]) ).
tff(c_14145,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14140,c_14140,c_14028]) ).
tff(c_14155,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14145]) ).
tff(c_13926,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13918,c_13679]) ).
tff(c_14164,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14155,c_13926]) ).
tff(c_14238,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14164,c_4]) ).
tff(c_13803,plain,
! [X_2,Z_159] : ( multiply(inverse(X_2),multiply(X_2,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13791]) ).
tff(c_14292,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_14238,c_13803]) ).
tff(c_14304,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14292]) ).
tff(c_14308,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14304,c_14164]) ).
tff(c_14167,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14155,c_13918]) ).
tff(c_58,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_13716,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_13773,plain,
! [Z_159] : ( multiply(sk_c3,multiply(sk_c7,Z_159)) = multiply(sk_c8,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_13716,c_13746]) ).
tff(c_14350,plain,
! [Z_170] : ( multiply(sk_c3,Z_170) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14167,c_2,c_14140,c_13773]) ).
tff(c_14365,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_14350,c_89]) ).
tff(c_14393,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_14365,c_85]) ).
tff(c_14396,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14308,c_14393]) ).
tff(c_13925,plain,
multiply(sk_c2,sk_c3) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13918,c_13680]) ).
tff(c_14163,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14155,c_13925]) ).
tff(c_14425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14396,c_2,c_14365,c_14163]) ).
tff(c_14427,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_14438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14432,c_14427]) ).
tff(c_14439,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_14459,plain,
! [X_171,Y_172,Z_173] : ( multiply(multiply(X_171,Y_172),Z_173) = multiply(X_171,multiply(Y_172,Z_173)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14486,plain,
! [Z_173] : ( multiply(sk_c7,multiply(sk_c5,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_13697,c_14459]) ).
tff(c_14737,plain,
! [Z_181] : ( multiply(sk_c7,multiply(sk_c5,Z_181)) = Z_181 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14486]) ).
tff(c_14749,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14439,c_14737]) ).
tff(c_14501,plain,
! [X_2,Z_173] : ( multiply(inverse(X_2),multiply(X_2,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14459]) ).
tff(c_14513,plain,
! [X_2,Z_173] : ( multiply(inverse(X_2),multiply(X_2,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14501]) ).
tff(c_14789,plain,
! [Z_183] : ( multiply(sk_c8,multiply(sk_c7,Z_183)) = multiply(sk_c6,Z_183) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_14459]) ).
tff(c_14801,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_14749,c_14789]) ).
tff(c_38,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_14445,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13680,c_38]) ).
tff(c_14807,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_14445,c_14789]) ).
tff(c_14830,plain,
multiply(sk_c6,sk_c8) = multiply(sk_c6,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_14807]) ).
tff(c_14847,plain,
! [X_184,Z_185] : ( multiply(inverse(X_184),multiply(X_184,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14501]) ).
tff(c_14865,plain,
multiply(inverse(sk_c6),multiply(sk_c6,sk_c7)) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14830,c_14847]) ).
tff(c_14944,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14513,c_14865]) ).
tff(c_14426,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_13684,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13679,c_4]) ).
tff(c_14489,plain,
! [Z_173] : ( multiply(sk_c8,multiply(sk_c4,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_13684,c_14459]) ).
tff(c_14714,plain,
! [Z_180] : ( multiply(sk_c8,multiply(sk_c4,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14489]) ).
tff(c_14726,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14426,c_14714]) ).
tff(c_15237,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14944,c_14944,c_14726]) ).
tff(c_15250,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14749,c_15237]) ).
tff(c_15262,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15250,c_13693]) ).
tff(c_15260,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15250,c_14439]) ).
tff(c_15257,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15250,c_14944]) ).
tff(c_14956,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14944,c_14944,c_14726]) ).
tff(c_14969,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14749,c_14956]) ).
tff(c_14977,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14969,c_14969,c_14749]) ).
tff(c_15106,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14977,c_14513]) ).
tff(c_15112,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15106]) ).
tff(c_14968,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14944,c_98]) ).
tff(c_15047,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14969,c_14968]) ).
tff(c_15054,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15047,c_4]) ).
tff(c_15129,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15112,c_15054]) ).
tff(c_15119,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15112,c_15047]) ).
tff(c_15152,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15129,c_15119]) ).
tff(c_14940,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_14847]) ).
tff(c_14976,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14969,c_14944]) ).
tff(c_14567,plain,
! [Z_177] : ( multiply(sk_c7,multiply(sk_c5,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14486]) ).
tff(c_14579,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14439,c_14567]) ).
tff(c_14483,plain,
! [Z_173] : ( multiply(sk_c3,multiply(sk_c7,Z_173)) = multiply(sk_c8,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_13716,c_14459]) ).
tff(c_14609,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_14579,c_14483]) ).
tff(c_14615,plain,
multiply(sk_c3,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14609]) ).
tff(c_14544,plain,
! [Z_176] : ( multiply(sk_c8,multiply(sk_c4,Z_176)) = Z_176 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14489]) ).
tff(c_14556,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14426,c_14544]) ).
tff(c_14583,plain,
! [Z_178] : ( multiply(sk_c3,multiply(sk_c7,Z_178)) = multiply(sk_c8,Z_178) ),
inference(superposition,[status(thm),theory(equality)],[c_13716,c_14459]) ).
tff(c_14598,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_14445,c_14583]) ).
tff(c_14605,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14556,c_14598]) ).
tff(c_14624,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14615,c_14605]) ).
tff(c_14642,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14624,c_13693]) ).
tff(c_14637,plain,
multiply(sk_c5,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14624,c_14439]) ).
tff(c_14640,plain,
multiply(sk_c3,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_14624,c_13716]) ).
tff(c_14644,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14615,c_14640]) ).
tff(c_14542,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14445,c_68]) ).
tff(c_14543,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_14542]) ).
tff(c_14660,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14644,c_14624,c_14644,c_14543]) ).
tff(c_14703,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14637,c_14660]) ).
tff(c_14712,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14642,c_14703]) ).
tff(c_14713,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_14542]) ).
tff(c_14761,plain,
! [X2_182] :
( ( multiply(X2_182,sk_c6) != sk_c7 )
| ( inverse(X2_182) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_14713]) ).
tff(c_14768,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14439,c_14761]) ).
tff(c_14780,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13693,c_14768]) ).
tff(c_14781,plain,
! [X1_8,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_14713]) ).
tff(c_14951,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_14781]) ).
tff(c_15081,plain,
! [X4_187] :
( ( multiply(inverse(X4_187),sk_c6) != sk_c6 )
| ( multiply(X4_187,inverse(X4_187)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14976,c_14976,c_14969,c_14951]) ).
tff(c_15090,plain,
multiply(identity,inverse(identity)) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14940,c_15081]) ).
tff(c_15101,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15090]) ).
tff(c_15115,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15112,c_15101]) ).
tff(c_15231,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15152,c_15115]) ).
tff(c_15232,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_14781]) ).
tff(c_15282,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c6 )
| ( inverse(X1_8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15257,c_15257,c_15250,c_15232]) ).
tff(c_15332,plain,
inverse(sk_c5) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15260,c_15282]) ).
tff(c_15344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15262,c_15332]) ).
tff(c_15345,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_16919,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_15345,c_16901]) ).
tff(c_16965,plain,
multiply(sk_c6,sk_c8) = multiply(sk_c6,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_16913,c_16919]) ).
tff(c_16983,plain,
! [X_226,Z_227] : ( multiply(inverse(X_226),multiply(X_226,Z_227)) = Z_227 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16320]) ).
tff(c_17001,plain,
multiply(inverse(sk_c6),multiply(sk_c6,sk_c7)) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16965,c_16983]) ).
tff(c_17077,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16332,c_17001]) ).
tff(c_16308,plain,
! [Z_208] : ( multiply(sk_c8,multiply(sk_c4,Z_208)) = multiply(identity,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_13684,c_16281]) ).
tff(c_16926,plain,
! [Z_225] : ( multiply(sk_c8,multiply(sk_c4,Z_225)) = Z_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16308]) ).
tff(c_16938,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16249,c_16926]) ).
tff(c_17087,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17077,c_17077,c_16938]) ).
tff(c_17101,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16845,c_17087]) ).
tff(c_17145,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17101,c_17101,c_16845]) ).
tff(c_17318,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17145,c_16332]) ).
tff(c_17325,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17318]) ).
tff(c_17097,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17077,c_13679]) ).
tff(c_17158,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17101,c_17097]) ).
tff(c_17165,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17158,c_4]) ).
tff(c_17351,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17325,c_17165]) ).
tff(c_17342,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17325,c_17158]) ).
tff(c_17364,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17351,c_17342]) ).
tff(c_17073,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16983]) ).
tff(c_17144,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17101,c_17077]) ).
tff(c_16363,plain,
! [Z_211] : ( multiply(sk_c7,multiply(sk_c5,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16305]) ).
tff(c_16375,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16258,c_16363]) ).
tff(c_16348,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_15345,c_68]) ).
tff(c_16459,plain,
! [X3_214] :
( ( inverse(X3_214) != sk_c8 )
| ( multiply(X3_214,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_16348]) ).
tff(c_16477,plain,
( ( inverse(identity) != sk_c8 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_16459]) ).
tff(c_16479,plain,
sk_c8 != sk_c7,
inference(splitLeft,[status(thm)],[c_16477]) ).
tff(c_16386,plain,
! [Z_212] : ( multiply(sk_c8,multiply(sk_c7,Z_212)) = multiply(sk_c6,Z_212) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_16281]) ).
tff(c_16398,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_16375,c_16386]) ).
tff(c_16404,plain,
multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_15345,c_16386]) ).
tff(c_16450,plain,
multiply(sk_c6,sk_c8) = multiply(sk_c6,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_16398,c_16404]) ).
tff(c_16493,plain,
! [X_215,Z_216] : ( multiply(inverse(X_215),multiply(X_215,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16320]) ).
tff(c_16511,plain,
multiply(inverse(sk_c6),multiply(sk_c6,sk_c7)) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16450,c_16493]) ).
tff(c_16587,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16332,c_16511]) ).
tff(c_16589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16479,c_16587]) ).
tff(c_16591,plain,
sk_c8 = sk_c7,
inference(splitRight,[status(thm)],[c_16477]) ).
tff(c_16411,plain,
! [Z_213] : ( multiply(sk_c8,multiply(sk_c4,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16308]) ).
tff(c_16423,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16249,c_16411]) ).
tff(c_16596,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_16591,c_16591,c_16423]) ).
tff(c_16610,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16375,c_16596]) ).
tff(c_16617,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16610,c_16591]) ).
tff(c_16590,plain,
inverse(identity) != sk_c8,
inference(splitRight,[status(thm)],[c_16477]) ).
tff(c_16655,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16617,c_16590]) ).
tff(c_16329,plain,
! [Z_208] : ( multiply(sk_c8,multiply(sk_c4,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16308]) ).
tff(c_16597,plain,
! [Z_208] : ( multiply(sk_c7,multiply(sk_c4,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_16591,c_16329]) ).
tff(c_16713,plain,
! [Z_208] : ( multiply(sk_c6,multiply(sk_c4,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_16610,c_16597]) ).
tff(c_16302,plain,
! [Z_208] : ( multiply(sk_c7,multiply(sk_c8,Z_208)) = multiply(sk_c6,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_15345,c_16281]) ).
tff(c_16732,plain,
! [Z_218] : ( multiply(sk_c6,multiply(sk_c6,Z_218)) = multiply(sk_c6,Z_218) ),
inference(demodulation,[status(thm),theory(equality)],[c_16617,c_16610,c_16302]) ).
tff(c_16750,plain,
! [Z_208] : ( multiply(sk_c6,multiply(sk_c4,Z_208)) = multiply(sk_c6,Z_208) ),
inference(superposition,[status(thm),theory(equality)],[c_16713,c_16732]) ).
tff(c_16775,plain,
! [Z_219] : ( multiply(sk_c6,Z_219) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_16713,c_16750]) ).
tff(c_16622,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16610,c_13693]) ).
tff(c_16659,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16622,c_4]) ).
tff(c_16784,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_16775,c_16659]) ).
tff(c_16814,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16784,c_16622]) ).
tff(c_16818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16655,c_16814]) ).
tff(c_16819,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_16348]) ).
tff(c_16880,plain,
! [X2_223] :
( ( multiply(X2_223,sk_c6) != sk_c7 )
| ( inverse(X2_223) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_16819]) ).
tff(c_16887,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_16258,c_16880]) ).
tff(c_16899,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13693,c_16887]) ).
tff(c_16900,plain,
! [X1_8,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_16819]) ).
tff(c_16974,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_16900]) ).
tff(c_17191,plain,
! [X4_229] :
( ( multiply(inverse(X4_229),sk_c6) != sk_c6 )
| ( multiply(X4_229,inverse(X4_229)) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17144,c_17144,c_17101,c_16974]) ).
tff(c_17200,plain,
multiply(identity,inverse(identity)) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17073,c_17191]) ).
tff(c_17210,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17200]) ).
tff(c_17338,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17325,c_17210]) ).
tff(c_17418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17364,c_17338]) ).
tff(c_17428,plain,
! [X1_232] :
( ( multiply(X1_232,sk_c7) != sk_c8 )
| ( inverse(X1_232) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_16900]) ).
tff(c_17438,plain,
inverse(sk_c4) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_16249,c_17428]) ).
tff(c_17453,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13679,c_17438]) ).
tff(c_17455,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_17454,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_18317,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_18343,plain,
! [X_254,Y_255,Z_256] : ( multiply(multiply(X_254,Y_255),Z_256) = multiply(X_254,multiply(Y_255,Z_256)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18376,plain,
! [Z_256] : ( multiply(sk_c8,multiply(sk_c1,Z_256)) = multiply(identity,Z_256) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_18343]) ).
tff(c_18411,plain,
! [Z_258] : ( multiply(sk_c8,multiply(sk_c1,Z_258)) = Z_258 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18376]) ).
tff(c_18423,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18317,c_18411]) ).
tff(c_18382,plain,
! [X_2,Z_256] : ( multiply(inverse(X_2),multiply(X_2,Z_256)) = multiply(identity,Z_256) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18343]) ).
tff(c_18451,plain,
! [X_260,Z_261] : ( multiply(inverse(X_260),multiply(X_260,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18382]) ).
tff(c_18472,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18423,c_18451]) ).
tff(c_18527,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18472]) ).
tff(c_17468,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_17951,plain,
! [X_243,Y_244,Z_245] : ( multiply(multiply(X_243,Y_244),Z_245) = multiply(X_243,multiply(Y_244,Z_245)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17990,plain,
! [Z_245] : ( multiply(sk_c3,multiply(sk_c2,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_17951]) ).
tff(c_18020,plain,
! [Z_247] : ( multiply(sk_c3,multiply(sk_c2,Z_247)) = Z_247 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17990]) ).
tff(c_18032,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_17468,c_18020]) ).
tff(c_17993,plain,
! [X_2,Z_245] : ( multiply(inverse(X_2),multiply(X_2,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17951]) ).
tff(c_18091,plain,
! [X_250,Z_251] : ( multiply(inverse(X_250),multiply(X_250,Z_251)) = Z_251 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17993]) ).
tff(c_18121,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18032,c_18091]) ).
tff(c_18179,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18121]) ).
tff(c_17500,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_17527,plain,
! [X_233,Y_234,Z_235] : ( multiply(multiply(X_233,Y_234),Z_235) = multiply(X_233,multiply(Y_234,Z_235)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_17566,plain,
! [Z_235] : ( multiply(sk_c8,multiply(sk_c1,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_17527]) ).
tff(c_17586,plain,
! [Z_236] : ( multiply(sk_c8,multiply(sk_c1,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17566]) ).
tff(c_17598,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17500,c_17586]) ).
tff(c_17572,plain,
! [X_2,Z_235] : ( multiply(inverse(X_2),multiply(X_2,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17527]) ).
tff(c_17729,plain,
! [X_240,Z_241] : ( multiply(inverse(X_240),multiply(X_240,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17572]) ).
tff(c_17774,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17598,c_17729]) ).
tff(c_17836,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17774]) ).
tff(c_17651,plain,
! [Z_239] : ( multiply(sk_c1,multiply(sk_c8,Z_239)) = multiply(sk_c7,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_17500,c_17527]) ).
tff(c_17669,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_17598,c_17651]) ).
tff(c_17682,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_17500,c_17669]) ).
tff(c_14,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_17476,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17455,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_17521,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17455,c_16]) ).
tff(c_17783,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17521,c_17729]) ).
tff(c_17837,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17682,c_17476,c_17783]) ).
tff(c_17880,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_17836,c_17837]) ).
tff(c_17569,plain,
! [Z_235] : ( multiply(sk_c3,multiply(sk_c2,Z_235)) = multiply(identity,Z_235) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_17527]) ).
tff(c_17612,plain,
! [Z_237] : ( multiply(sk_c3,multiply(sk_c2,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17569]) ).
tff(c_17624,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_17468,c_17612]) ).
tff(c_17768,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_17624,c_17729]) ).
tff(c_17835,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_17768]) ).
tff(c_17602,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17598,c_17455]) ).
tff(c_17849,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_17835,c_17602]) ).
tff(c_17923,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17880,c_17849]) ).
tff(c_17924,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_17460,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17454,c_4]) ).
tff(c_17984,plain,
! [Z_245] : ( multiply(sk_c8,multiply(sk_c4,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_17460,c_17951]) ).
tff(c_18068,plain,
! [Z_249] : ( multiply(sk_c8,multiply(sk_c4,Z_249)) = Z_249 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17984]) ).
tff(c_18080,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_17924,c_18068]) ).
tff(c_18217,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18179,c_18179,c_18080]) ).
tff(c_18232,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18217]) ).
tff(c_18227,plain,
multiply(identity,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18179,c_17455]) ).
tff(c_18233,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18227]) ).
tff(c_18248,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18232,c_18233]) ).
tff(c_17925,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_17936,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_17925,c_26]) ).
tff(c_17480,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_17476,c_4]) ).
tff(c_17978,plain,
! [Z_245] : ( multiply(sk_c7,multiply(sk_c5,Z_245)) = multiply(identity,Z_245) ),
inference(superposition,[status(thm),theory(equality)],[c_17480,c_17951]) ).
tff(c_18045,plain,
! [Z_248] : ( multiply(sk_c7,multiply(sk_c5,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17978]) ).
tff(c_18057,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_17936,c_18045]) ).
tff(c_18238,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18232,c_18232,c_18057]) ).
tff(c_18243,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18238]) ).
tff(c_18285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18248,c_18243]) ).
tff(c_18286,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_18287,plain,
multiply(sk_c2,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_18322,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18287,c_46]) ).
tff(c_18487,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18322,c_18451]) ).
tff(c_18529,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18286,c_18487]) ).
tff(c_18556,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18527,c_2,c_18527,c_18529]) ).
tff(c_18427,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18423,c_17455]) ).
tff(c_18557,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18556,c_18427]) ).
tff(c_8,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_18312,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_17455,c_8]) ).
tff(c_18539,plain,
multiply(identity,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_18527,c_18312]) ).
tff(c_18694,plain,
multiply(identity,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18556,c_18539]) ).
tff(c_18394,plain,
! [X_2,Z_256] : ( multiply(inverse(X_2),multiply(X_2,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18382]) ).
tff(c_18698,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_18694,c_18394]) ).
tff(c_18710,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18698]) ).
tff(c_18712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18557,c_18710]) ).
tff(c_18713,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_18739,plain,
! [X_263,Y_264,Z_265] : ( multiply(multiply(X_263,Y_264),Z_265) = multiply(X_263,multiply(Y_264,Z_265)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18766,plain,
! [Z_265] : ( multiply(sk_c8,multiply(sk_c4,Z_265)) = multiply(identity,Z_265) ),
inference(superposition,[status(thm),theory(equality)],[c_17460,c_18739]) ).
tff(c_18840,plain,
! [Z_269] : ( multiply(sk_c8,multiply(sk_c4,Z_269)) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18766]) ).
tff(c_18852,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18713,c_18840]) ).
tff(c_18948,plain,
! [Z_272] : ( multiply(sk_c4,multiply(sk_c7,Z_272)) = multiply(sk_c8,Z_272) ),
inference(superposition,[status(thm),theory(equality)],[c_18713,c_18739]) ).
tff(c_18972,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_18312,c_18948]) ).
tff(c_18980,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18852,c_18972]) ).
tff(c_18775,plain,
! [X_2,Z_265] : ( multiply(inverse(X_2),multiply(X_2,Z_265)) = multiply(identity,Z_265) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18739]) ).
tff(c_18787,plain,
! [X_2,Z_265] : ( multiply(inverse(X_2),multiply(X_2,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18775]) ).
tff(c_18984,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18980,c_18787]) ).
tff(c_18993,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_17454,c_18984]) ).
tff(c_18995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17455,c_18993]) ).
tff(c_18997,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_36,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_19041,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18997,c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_19005,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18997,c_34]) ).
tff(c_19009,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19005,c_4]) ).
tff(c_19059,plain,
! [X_273,Y_274,Z_275] : ( multiply(multiply(X_273,Y_274),Z_275) = multiply(X_273,multiply(Y_274,Z_275)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19083,plain,
! [Z_275] : ( multiply(sk_c7,multiply(sk_c5,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_19009,c_19059]) ).
tff(c_19709,plain,
! [Z_292] : ( multiply(sk_c7,multiply(sk_c5,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19083]) ).
tff(c_19721,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19041,c_19709]) ).
tff(c_19092,plain,
! [X_2,Z_275] : ( multiply(inverse(X_2),multiply(X_2,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19059]) ).
tff(c_19771,plain,
! [X_295,Z_296] : ( multiply(inverse(X_295),multiply(X_295,Z_296)) = Z_296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19092]) ).
tff(c_19798,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19721,c_19771]) ).
tff(c_28,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_19031,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_18997,c_28]) ).
tff(c_19816,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19031,c_19771]) ).
tff(c_20295,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19798,c_19816]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_19024,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_18997,c_32]) ).
tff(c_18996,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_19001,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18996,c_4]) ).
tff(c_19086,plain,
! [Z_275] : ( multiply(sk_c8,multiply(sk_c4,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_19001,c_19059]) ).
tff(c_19748,plain,
! [Z_294] : ( multiply(sk_c8,multiply(sk_c4,Z_294)) = Z_294 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19086]) ).
tff(c_19760,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19024,c_19748]) ).
tff(c_19789,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19760,c_19771]) ).
tff(c_20306,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20295,c_20295,c_19789]) ).
tff(c_20317,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20306]) ).
tff(c_19843,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_19771]) ).
tff(c_20154,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19798,c_19816]) ).
tff(c_20165,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20154,c_20154,c_19789]) ).
tff(c_20176,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20165]) ).
tff(c_19822,plain,
multiply(inverse(sk_c7),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_19009,c_19771]) ).
tff(c_20187,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20176,c_19822]) ).
tff(c_20194,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19843,c_20187]) ).
tff(c_20193,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20176,c_19005]) ).
tff(c_20242,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20194,c_20193]) ).
tff(c_20185,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20176,c_20154]) ).
tff(c_19971,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19798,c_19816]) ).
tff(c_19984,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19971,c_19971,c_19760]) ).
tff(c_19993,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19721,c_19984]) ).
tff(c_20001,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19993,c_19993,c_19798]) ).
tff(c_20009,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20001]) ).
tff(c_20000,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19993,c_19971]) ).
tff(c_20037,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20009,c_20000]) ).
tff(c_19108,plain,
! [Z_276] : ( multiply(sk_c7,multiply(sk_c5,Z_276)) = Z_276 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19083]) ).
tff(c_19120,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19041,c_19108]) ).
tff(c_19160,plain,
! [X_279,Z_280] : ( multiply(inverse(X_279),multiply(X_279,Z_280)) = Z_280 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19092]) ).
tff(c_19199,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19024,c_19160]) ).
tff(c_19228,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18996,c_19199]) ).
tff(c_19380,plain,
! [Z_284] : ( multiply(sk_c7,multiply(sk_c8,Z_284)) = multiply(sk_c6,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_19031,c_19059]) ).
tff(c_19395,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_19228,c_19380]) ).
tff(c_19405,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19120,c_19395]) ).
tff(c_19103,plain,
! [X_2,Z_275] : ( multiply(inverse(X_2),multiply(X_2,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19092]) ).
tff(c_19412,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_19405,c_19103]) ).
tff(c_19419,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19412]) ).
tff(c_19074,plain,
! [Z_275] : ( multiply(sk_c5,multiply(sk_c6,Z_275)) = multiply(sk_c7,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_19041,c_19059]) ).
tff(c_19409,plain,
multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_19405,c_19074]) ).
tff(c_19418,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19041,c_19031,c_19409]) ).
tff(c_19106,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19031,c_68]) ).
tff(c_19107,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_19106]) ).
tff(c_19429,plain,
multiply(sk_c8,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_19418,c_19107]) ).
tff(c_19553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19419,c_19429]) ).
tff(c_19554,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19106]) ).
tff(c_19672,plain,
! [X2_290] :
( ( multiply(X2_290,sk_c6) != sk_c7 )
| ( inverse(X2_290) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19554]) ).
tff(c_19682,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19041,c_19672]) ).
tff(c_19694,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19005,c_19682]) ).
tff(c_19695,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_19554]) ).
tff(c_19899,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_19695]) ).
tff(c_20015,plain,
! [X3_299] :
( ( inverse(X3_299) != sk_c8 )
| ( multiply(X3_299,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19993,c_19899]) ).
tff(c_20031,plain,
( ( inverse(identity) != sk_c8 )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_20015]) ).
tff(c_20048,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20037,c_20009,c_20037,c_20031]) ).
tff(c_20038,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20009,c_19993]) ).
tff(c_19991,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_19971,c_18996]) ).
tff(c_20053,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20038,c_19991]) ).
tff(c_19840,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19771]) ).
tff(c_20057,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_20053,c_19840]) ).
tff(c_20066,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20057]) ).
tff(c_20068,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20066,c_20053]) ).
tff(c_20070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20048,c_20068]) ).
tff(c_20071,plain,
! [X4_10,X1_8] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_19695]) ).
tff(c_20094,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_20071]) ).
tff(c_20211,plain,
! [X1_301] :
( ( multiply(X1_301,identity) != identity )
| ( inverse(X1_301) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20185,c_20185,c_20176,c_20094]) ).
tff(c_20236,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_20211]) ).
tff(c_20262,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20242,c_20236]) ).
tff(c_20263,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_20071]) ).
tff(c_20327,plain,
! [X4_302] :
( ( multiply(inverse(X4_302),sk_c7) != sk_c7 )
| ( multiply(X4_302,inverse(X4_302)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20295,c_20295,c_20263]) ).
tff(c_20330,plain,
multiply(identity,inverse(identity)) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19843,c_20327]) ).
tff(c_20339,plain,
inverse(identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20330]) ).
tff(c_20439,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20317,c_20339]) ).
tff(c_20316,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20295,c_18996]) ).
tff(c_20418,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20317,c_20316]) ).
tff(c_20422,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_20418,c_19840]) ).
tff(c_20431,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19843,c_20422]) ).
tff(c_20433,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20431,c_20418]) ).
tff(c_20440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20439,c_20433]) ).
tff(c_20442,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_20478,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_20442,c_56]) ).
tff(c_20441,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_20446,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20441,c_4]) ).
tff(c_20547,plain,
! [Z_306] : ( multiply(sk_c7,multiply(sk_c5,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_20446,c_20517]) ).
tff(c_20897,plain,
! [Z_315] : ( multiply(sk_c7,multiply(sk_c5,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20547]) ).
tff(c_20912,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20478,c_20897]) ).
tff(c_20957,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20912,c_20936]) ).
tff(c_48,plain,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_20499,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_20442,c_48]) ).
tff(c_20978,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20499,c_20936]) ).
tff(c_21479,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20957,c_20978]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_20471,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_20442,c_52]) ).
tff(c_50,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_20454,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_20442,c_50]) ).
tff(c_20458,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20454,c_4]) ).
tff(c_20544,plain,
! [Z_306] : ( multiply(sk_c8,multiply(sk_c4,Z_306)) = multiply(identity,Z_306) ),
inference(superposition,[status(thm),theory(equality)],[c_20458,c_20517]) ).
tff(c_20563,plain,
! [Z_307] : ( multiply(sk_c8,multiply(sk_c4,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20544]) ).
tff(c_20575,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20471,c_20563]) ).
tff(c_21494,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21479,c_21479,c_20575]) ).
tff(c_21500,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20912,c_21494]) ).
tff(c_21508,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21500,c_21500,c_20957]) ).
tff(c_21516,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21508]) ).
tff(c_21507,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21500,c_21479]) ).
tff(c_22061,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21507]) ).
tff(c_21005,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20936]) ).
tff(c_22169,plain,
! [X_338] : ( multiply(X_338,identity) = X_338 ),
inference(superposition,[status(thm),theory(equality)],[c_22162,c_21005]) ).
tff(c_21527,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21507]) ).
tff(c_21659,plain,
! [X_328,Z_329] : ( multiply(inverse(inverse(X_328)),Z_329) = multiply(X_328,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_20561,c_20936]) ).
tff(c_21666,plain,
! [X_328] : ( multiply(X_328,identity) = X_328 ),
inference(superposition,[status(thm),theory(equality)],[c_21659,c_21005]) ).
tff(c_21330,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20957,c_20978]) ).
tff(c_21345,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_21330,c_21330,c_20575]) ).
tff(c_21351,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20912,c_21345]) ).
tff(c_21359,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21351,c_21351,c_20957]) ).
tff(c_21367,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21359]) ).
tff(c_21395,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21367,c_21351]) ).
tff(c_21358,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21351,c_21330]) ).
tff(c_21394,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21367,c_21358]) ).
tff(c_20589,plain,
! [Z_308] : ( multiply(sk_c7,multiply(sk_c5,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20547]) ).
tff(c_20601,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20478,c_20589]) ).
tff(c_20625,plain,
! [X_310,Z_311] : ( multiply(inverse(X_310),multiply(X_310,Z_311)) = Z_311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20550]) ).
tff(c_20646,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20601,c_20625]) ).
tff(c_20661,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_20499,c_20625]) ).
tff(c_20816,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20646,c_20661]) ).
tff(c_20580,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20499,c_68]) ).
tff(c_20581,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_20580]) ).
tff(c_20859,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_20816,c_20581]) ).
tff(c_20867,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20601,c_20859]) ).
tff(c_20868,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20580]) ).
tff(c_21163,plain,
! [X2_321] :
( ( multiply(X2_321,sk_c6) != sk_c7 )
| ( inverse(X2_321) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_20868]) ).
tff(c_21180,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20478,c_21163]) ).
tff(c_21193,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20441,c_21180]) ).
tff(c_21194,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_20868]) ).
tff(c_21329,plain,
! [X3_7] :
( ( inverse(X3_7) != sk_c8 )
| ( multiply(X3_7,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_21194]) ).
tff(c_21424,plain,
! [X3_325] :
( ( inverse(X3_325) != identity )
| ( multiply(X3_325,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21395,c_21394,c_21394,c_21329]) ).
tff(c_21446,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_21424]) ).
tff(c_21366,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21351,c_20441]) ).
tff(c_21408,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21367,c_21366]) ).
tff(c_21412,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21408,c_21005]) ).
tff(c_21421,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21412]) ).
tff(c_21447,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21421,c_21408]) ).
tff(c_21477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21446,c_21447]) ).
tff(c_21478,plain,
! [X4_10,X1_8] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_21194]) ).
tff(c_21521,plain,
! [X4_10,X1_8] :
( ( multiply(inverse(X4_10),sk_c6) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 )
| ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21500,c_21500,c_21478]) ).
tff(c_21522,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c6) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_21521]) ).
tff(c_22053,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21527,c_21666,c_21527,c_21516,c_21522]) ).
tff(c_21008,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_20936]) ).
tff(c_21515,plain,
inverse(sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21500,c_20441]) ).
tff(c_21560,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21515]) ).
tff(c_21564,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_21560,c_21005]) ).
tff(c_21573,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21008,c_21564]) ).
tff(c_21575,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21573,c_21560]) ).
tff(c_22055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22053,c_21575]) ).
tff(c_22056,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c6) != sk_c8 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_21521]) ).
tff(c_23831,plain,
! [X4_10] : ( inverse(X4_10) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_22183,c_22061,c_22169,c_22061,c_21516,c_22056]) ).
tff(c_22076,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21515]) ).
tff(c_22080,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_22076,c_21005]) ).
tff(c_22089,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21008,c_22080]) ).
tff(c_22091,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22089,c_22076]) ).
tff(c_23833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23831,c_22091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:24:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 11.29/4.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.29/4.20
% 11.29/4.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.29/4.27
% 11.29/4.27 Inference rules
% 11.29/4.27 ----------------------
% 11.29/4.27 #Ref : 0
% 11.29/4.27 #Sup : 6031
% 11.29/4.27 #Fact : 0
% 11.29/4.27 #Define : 0
% 11.29/4.27 #Split : 53
% 11.29/4.27 #Chain : 0
% 11.29/4.27 #Close : 0
% 11.29/4.27
% 11.29/4.27 Ordering : KBO
% 11.29/4.27
% 11.29/4.27 Simplification rules
% 11.29/4.27 ----------------------
% 11.29/4.27 #Subsume : 9
% 11.29/4.27 #Demod : 11567
% 11.29/4.27 #Tautology : 4745
% 11.29/4.27 #SimpNegUnit : 75
% 11.29/4.27 #BackRed : 665
% 11.29/4.27
% 11.29/4.27 #Partial instantiations: 0
% 11.29/4.27 #Strategies tried : 1
% 11.29/4.27
% 11.29/4.27 Timing (in seconds)
% 11.29/4.27 ----------------------
% 11.29/4.28 Preprocessing : 0.52
% 11.29/4.28 Parsing : 0.21
% 11.29/4.28 CNF conversion : 0.03
% 11.29/4.28 Main loop : 2.46
% 11.29/4.28 Inferencing : 0.78
% 11.29/4.28 Reduction : 1.16
% 11.29/4.28 Demodulation : 1.01
% 11.29/4.28 BG Simplification : 0.08
% 11.29/4.28 Subsumption : 0.27
% 11.29/4.28 Abstraction : 0.13
% 11.29/4.28 MUC search : 0.00
% 11.29/4.28 Cooper : 0.00
% 11.29/4.28 Total : 3.16
% 11.29/4.28 Index Insertion : 0.00
% 11.29/4.28 Index Deletion : 0.00
% 11.29/4.28 Index Matching : 0.00
% 11.29/4.28 BG Taut test : 0.00
%------------------------------------------------------------------------------