TSTP Solution File: GRP290-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP290-1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:48 EDT 2023
% Result : Unsatisfiable 18.60s 9.07s
% Output : CNFRefutation 18.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 44
% Syntax : Number of formulae : 395 ( 309 unt; 11 typ; 0 def)
% Number of atoms : 557 ( 535 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 339 ( 166 ~; 173 |; 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 : 186 (; 186 !; 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_134,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
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,sk_c7) != sk_c6 )
| ( inverse(X4) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c8,X1) != sk_c7 )
| ( multiply(X2,sk_c8) != X1 )
| ( inverse(X2) != sk_c8 )
| ( multiply(X5,sk_c6) != sk_c8 )
| ( inverse(X5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = 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_45302,plain,
! [X_408,Y_409,Z_410] : ( multiply(multiply(X_408,Y_409),Z_410) = multiply(X_408,multiply(Y_409,Z_410)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_45338,plain,
! [X_2,Z_410] : ( multiply(inverse(X_2),multiply(X_2,Z_410)) = multiply(identity,Z_410) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45302]) ).
tff(c_45729,plain,
! [X_415,Z_416] : ( multiply(inverse(X_415),multiply(X_415,Z_416)) = Z_416 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45338]) ).
tff(c_45349,plain,
! [X_2,Z_410] : ( multiply(inverse(X_2),multiply(X_2,Z_410)) = Z_410 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45338]) ).
tff(c_46052,plain,
! [X_418,Z_419] : ( multiply(inverse(inverse(X_418)),Z_419) = multiply(X_418,Z_419) ),
inference(superposition,[status(thm),theory(equality)],[c_45729,c_45349]) ).
tff(c_45780,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45729]) ).
tff(c_46059,plain,
! [X_418] : ( multiply(X_418,identity) = X_418 ),
inference(superposition,[status(thm),theory(equality)],[c_46052,c_45780]) ).
tff(c_15824,plain,
! [X_207,Y_208,Z_209] : ( multiply(multiply(X_207,Y_208),Z_209) = multiply(X_207,multiply(Y_208,Z_209)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15860,plain,
! [X_2,Z_209] : ( multiply(inverse(X_2),multiply(X_2,Z_209)) = multiply(identity,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15824]) ).
tff(c_15871,plain,
! [X_2,Z_209] : ( multiply(inverse(X_2),multiply(X_2,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15860]) ).
tff(c_16252,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_15860]) ).
tff(c_16689,plain,
! [X_220,Z_221] : ( multiply(inverse(inverse(X_220)),Z_221) = multiply(X_220,Z_221) ),
inference(superposition,[status(thm),theory(equality)],[c_15871,c_16252]) ).
tff(c_16288,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16252]) ).
tff(c_16696,plain,
! [X_220] : ( multiply(X_220,identity) = X_220 ),
inference(superposition,[status(thm),theory(equality)],[c_16689,c_16288]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_115,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_66,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_13666,plain,
! [X_165,Y_166,Z_167] : ( multiply(multiply(X_165,Y_166),Z_167) = multiply(X_165,multiply(Y_166,Z_167)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13705,plain,
! [Z_167] : ( multiply(sk_c7,multiply(sk_c2,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_13666]) ).
tff(c_13737,plain,
! [Z_169] : ( multiply(sk_c7,multiply(sk_c2,Z_169)) = Z_169 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13705]) ).
tff(c_13749,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115,c_13737]) ).
tff(c_13708,plain,
! [X_2,Z_167] : ( multiply(inverse(X_2),multiply(X_2,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13666]) ).
tff(c_13855,plain,
! [X_172,Z_173] : ( multiply(inverse(X_172),multiply(X_172,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13708]) ).
tff(c_13888,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13749,c_13855]) ).
tff(c_13921,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13888]) ).
tff(c_12464,plain,
! [X_139,Y_140,Z_141] : ( multiply(multiply(X_139,Y_140),Z_141) = multiply(X_139,multiply(Y_140,Z_141)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12506,plain,
! [Z_141] : ( multiply(sk_c7,multiply(sk_c2,Z_141)) = multiply(identity,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_12464]) ).
tff(c_12775,plain,
! [Z_149] : ( multiply(sk_c7,multiply(sk_c2,Z_149)) = Z_149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12506]) ).
tff(c_12787,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115,c_12775]) ).
tff(c_12509,plain,
! [X_2,Z_141] : ( multiply(inverse(X_2),multiply(X_2,Z_141)) = multiply(identity,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12464]) ).
tff(c_12931,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_12509]) ).
tff(c_12979,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12787,c_12931]) ).
tff(c_13014,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12979]) ).
tff(c_149,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_179,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_149]) ).
tff(c_294,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_189,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_179]) ).
tff(c_622,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_294,c_189]) ).
tff(c_345,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_294]) ).
tff(c_633,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_622,c_345]) ).
tff(c_176,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_253,plain,
! [Z_17] : ( multiply(sk_c7,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_265,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115,c_253]) ).
tff(c_315,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_265,c_294]) ).
tff(c_352,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_315]) ).
tff(c_14,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_122,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_26,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_123,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_102,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_173,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_123,c_191]) ).
tff(c_207,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_122,c_203]) ).
tff(c_210,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_207,c_122]) ).
tff(c_321,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_210,c_294]) ).
tff(c_353,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_68,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c8 )
| ( inverse(X2_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X2_9,sk_c8)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( 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_239,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(sk_c6,multiply(X2_9,sk_c6)) != sk_c7 )
| ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != 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_207,c_207,c_207,c_207,c_207,c_207,c_207,c_207,c_68]) ).
tff(c_240,plain,
multiply(sk_c6,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_239]) ).
tff(c_241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_240,c_210]) ).
tff(c_242,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( multiply(sk_c6,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( multiply(sk_c6,multiply(X2_9,sk_c6)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_239]) ).
tff(c_7752,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_633,c_352,c_352,c_352,c_633,c_353,c_352,c_2,c_352,c_352,c_633,c_353,c_352,c_353,c_633,c_353,c_352,c_352,c_353,c_352,c_2,c_352,c_242]) ).
tff(c_7754,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7752]) ).
tff(c_371,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_353,c_89]) ).
tff(c_454,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_371,c_189]) ).
tff(c_466,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_454]) ).
tff(c_372,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_353,c_85]) ).
tff(c_490,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_466,c_372]) ).
tff(c_7756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7754,c_490]) ).
tff(c_7757,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_7752]) ).
tff(c_11777,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_7757]) ).
tff(c_11779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11777,c_490]) ).
tff(c_11780,plain,
! [X4_10,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_7757]) ).
tff(c_11782,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_11780]) ).
tff(c_11784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11782,c_490]) ).
tff(c_12400,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_11780]) ).
tff(c_12402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12400,c_490]) ).
tff(c_12404,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_22,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_12439,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12404,c_22]) ).
tff(c_24,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_12452,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_12404,c_24]) ).
tff(c_12403,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_12408,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12403,c_4]) ).
tff(c_12494,plain,
! [Z_141] : ( multiply(sk_c8,multiply(sk_c3,Z_141)) = multiply(identity,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_12408,c_12464]) ).
tff(c_12798,plain,
! [Z_150] : ( multiply(sk_c8,multiply(sk_c3,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12494]) ).
tff(c_12810,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_12452,c_12798]) ).
tff(c_12814,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12439,c_12810]) ).
tff(c_20,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_12459,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12404,c_20]) ).
tff(c_12841,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12814,c_12459]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_12421,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12404,c_30]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_12446,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_12404,c_28]) ).
tff(c_12843,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12814,c_12446]) ).
tff(c_12967,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12843,c_12931]) ).
tff(c_13013,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12841,c_12421,c_12967]) ).
tff(c_13037,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13014,c_13013]) ).
tff(c_12849,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12814,c_102]) ).
tff(c_13040,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13037,c_12849]) ).
tff(c_12521,plain,
! [X_2,Z_141] : ( multiply(inverse(X_2),multiply(X_2,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12509]) ).
tff(c_13259,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_13040,c_12521]) ).
tff(c_13271,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13259]) ).
tff(c_12846,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12814,c_12404]) ).
tff(c_13038,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13037,c_13037,c_12846]) ).
tff(c_13287,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13271,c_13038]) ).
tff(c_13289,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_13301,plain,
inverse(sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13289,c_18]) ).
tff(c_13927,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13921,c_13301]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_13330,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13289,c_8]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_13319,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_13289,c_16]) ).
tff(c_13350,plain,
! [X_156,Y_157,Z_158] : ( multiply(multiply(X_156,Y_157),Z_158) = multiply(X_156,multiply(Y_157,Z_158)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13395,plain,
! [X_2,Z_158] : ( multiply(inverse(X_2),multiply(X_2,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13350]) ).
tff(c_13475,plain,
! [X_162,Z_163] : ( multiply(inverse(X_162),multiply(X_162,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13395]) ).
tff(c_13523,plain,
multiply(inverse(sk_c5),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13319,c_13475]) ).
tff(c_13564,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13330,c_13301,c_13523]) ).
tff(c_10,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_13340,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13289,c_10]) ).
tff(c_13288,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_13335,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_13289,c_12]) ).
tff(c_13514,plain,
multiply(inverse(sk_c3),sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13335,c_13475]) ).
tff(c_13562,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13340,c_13288,c_13514]) ).
tff(c_13324,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_13389,plain,
! [Z_158] : ( multiply(sk_c8,multiply(sk_c1,Z_158)) = multiply(identity,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13350]) ).
tff(c_13409,plain,
! [Z_159] : ( multiply(sk_c8,multiply(sk_c1,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13389]) ).
tff(c_13421,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13324,c_13409]) ).
tff(c_13427,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13421,c_13289]) ).
tff(c_13570,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13562,c_13427]) ).
tff(c_13638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13564,c_13570]) ).
tff(c_13639,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_13652,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_13289,c_12]) ).
tff(c_13293,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13288,c_4]) ).
tff(c_13696,plain,
! [Z_167] : ( multiply(sk_c8,multiply(sk_c3,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_13293,c_13666]) ).
tff(c_13760,plain,
! [Z_170] : ( multiply(sk_c8,multiply(sk_c3,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13696]) ).
tff(c_13772,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_13652,c_13760]) ).
tff(c_13776,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13639,c_13772]) ).
tff(c_13809,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13776,c_13319]) ).
tff(c_13960,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13921,c_13809]) ).
tff(c_13720,plain,
! [X_2,Z_167] : ( multiply(inverse(X_2),multiply(X_2,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13708]) ).
tff(c_13964,plain,
multiply(inverse(sk_c5),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13960,c_13720]) ).
tff(c_13970,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13927,c_13964]) ).
tff(c_13811,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13776,c_13289]) ).
tff(c_14066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13970,c_2,c_13970,c_13921,c_13811]) ).
tff(c_14067,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_14068,plain,
multiply(sk_c2,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_14100,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14068,c_52]) ).
tff(c_14072,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14067,c_4]) ).
tff(c_14591,plain,
! [X_182,Y_183,Z_184] : ( multiply(multiply(X_182,Y_183),Z_184) = multiply(X_182,multiply(Y_183,Z_184)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14624,plain,
! [Z_184] : ( multiply(sk_c6,multiply(sk_c5,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_14072,c_14591]) ).
tff(c_14673,plain,
! [Z_187] : ( multiply(sk_c6,multiply(sk_c5,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14624]) ).
tff(c_14685,plain,
multiply(sk_c6,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14100,c_14673]) ).
tff(c_14105,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_14111,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_14136,plain,
! [X_175,Y_176,Z_177] : ( multiply(multiply(X_175,Y_176),Z_177) = multiply(X_175,multiply(Y_176,Z_177)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14175,plain,
! [Z_177] : ( multiply(sk_c8,multiply(sk_c1,Z_177)) = multiply(identity,Z_177) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14136]) ).
tff(c_14195,plain,
! [Z_178] : ( multiply(sk_c8,multiply(sk_c1,Z_178)) = Z_178 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14175]) ).
tff(c_14207,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14111,c_14195]) ).
tff(c_14211,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14105,c_14207]) ).
tff(c_14217,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14211,c_14105]) ).
tff(c_14181,plain,
! [X_2,Z_177] : ( multiply(inverse(X_2),multiply(X_2,Z_177)) = multiply(identity,Z_177) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14136]) ).
tff(c_14284,plain,
! [X_179,Z_180] : ( multiply(inverse(X_179),multiply(X_179,Z_180)) = Z_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14181]) ).
tff(c_14314,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14217,c_14284]) ).
tff(c_14347,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14314]) ).
tff(c_14353,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14347,c_85]) ).
tff(c_14385,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14353,c_4]) ).
tff(c_14193,plain,
! [X_2,Z_177] : ( multiply(inverse(X_2),multiply(X_2,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14181]) ).
tff(c_14534,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_14385,c_14193]) ).
tff(c_14546,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14534]) ).
tff(c_46,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_14131,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14068,c_46]) ).
tff(c_14213,plain,
multiply(sk_c6,sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14211,c_14131]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_14076,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_14068,c_50]) ).
tff(c_14220,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14211,c_14076]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_14120,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_14068,c_48]) ).
tff(c_14215,plain,
multiply(sk_c3,sk_c6) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_14211,c_14120]) ).
tff(c_14305,plain,
multiply(inverse(sk_c3),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14215,c_14284]) ).
tff(c_14345,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14213,c_14220,c_14305]) ).
tff(c_14358,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14347,c_14345]) ).
tff(c_14351,plain,
multiply(sk_c2,identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14347,c_14068]) ).
tff(c_14565,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14546,c_14358,c_14351]) ).
tff(c_14567,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_14580,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14567,c_20]) ).
tff(c_15008,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14685,c_14580]) ).
tff(c_14566,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_15018,plain,
multiply(sk_c8,sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15008,c_14566]) ).
tff(c_14574,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_14068,c_48]) ).
tff(c_14080,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14076,c_4]) ).
tff(c_14621,plain,
! [Z_184] : ( multiply(sk_c8,multiply(sk_c3,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_14080,c_14591]) ).
tff(c_15059,plain,
! [Z_193] : ( multiply(sk_c8,multiply(sk_c3,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14621]) ).
tff(c_15071,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14574,c_15059]) ).
tff(c_15075,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15018,c_15071]) ).
tff(c_15080,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15075,c_14685]) ).
tff(c_14633,plain,
! [X_2,Z_184] : ( multiply(inverse(X_2),multiply(X_2,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14591]) ).
tff(c_14645,plain,
! [X_2,Z_184] : ( multiply(inverse(X_2),multiply(X_2,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14633]) ).
tff(c_15200,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15080,c_14645]) ).
tff(c_15206,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15200]) ).
tff(c_15087,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15075,c_98]) ).
tff(c_15102,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15087,c_4]) ).
tff(c_15275,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15206,c_15102]) ).
tff(c_15017,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15008,c_14567]) ).
tff(c_15079,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15075,c_15017]) ).
tff(c_15294,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15275,c_15206,c_15206,c_15079]) ).
tff(c_15295,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_15296,plain,
multiply(sk_c8,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_15302,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_15296,c_12]) ).
tff(c_15323,plain,
! [X_196,Y_197,Z_198] : ( multiply(multiply(X_196,Y_197),Z_198) = multiply(X_196,multiply(Y_197,Z_198)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15350,plain,
! [Z_198] : ( multiply(sk_c8,multiply(sk_c3,Z_198)) = multiply(identity,Z_198) ),
inference(superposition,[status(thm),theory(equality)],[c_14080,c_15323]) ).
tff(c_15404,plain,
! [Z_201] : ( multiply(sk_c8,multiply(sk_c3,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15350]) ).
tff(c_15416,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15302,c_15404]) ).
tff(c_15420,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15295,c_15416]) ).
tff(c_15456,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15420,c_14100]) ).
tff(c_15362,plain,
! [X_2,Z_198] : ( multiply(inverse(X_2),multiply(X_2,Z_198)) = multiply(identity,Z_198) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15323]) ).
tff(c_15493,plain,
! [X_203,Z_204] : ( multiply(inverse(X_203),multiply(X_203,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15362]) ).
tff(c_15511,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15456,c_15493]) ).
tff(c_15548,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14067,c_15511]) ).
tff(c_15374,plain,
! [X_2,Z_198] : ( multiply(inverse(X_2),multiply(X_2,Z_198)) = Z_198 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15362]) ).
tff(c_15606,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15548,c_15374]) ).
tff(c_15612,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15606]) ).
tff(c_15311,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15296,c_8]) ).
tff(c_15452,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15420,c_15311]) ).
tff(c_15602,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15548,c_15452]) ).
tff(c_15653,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15612,c_15602]) ).
tff(c_15625,plain,
multiply(sk_c6,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15602,c_89]) ).
tff(c_15738,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15653,c_15625]) ).
tff(c_15624,plain,
multiply(sk_c2,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15602,c_14068]) ).
tff(c_15746,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15738,c_15653,c_15653,c_15624]) ).
tff(c_15748,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_15749,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_15757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15748,c_15749]) ).
tff(c_15759,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_15790,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15759,c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_15801,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_15759,c_36]) ).
tff(c_15758,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_15770,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15758,c_4]) ).
tff(c_15851,plain,
! [Z_209] : ( multiply(sk_c8,multiply(sk_c3,Z_209)) = multiply(identity,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_15770,c_15824]) ).
tff(c_15873,plain,
! [Z_210] : ( multiply(sk_c8,multiply(sk_c3,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15851]) ).
tff(c_15885,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_15801,c_15873]) ).
tff(c_15889,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15790,c_15885]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_15795,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15759,c_32]) ).
tff(c_15892,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15889,c_15795]) ).
tff(c_15747,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_40,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_15783,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_15759,c_40]) ).
tff(c_15894,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15889,c_15783]) ).
tff(c_16359,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15894,c_15871]) ).
tff(c_16365,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15892,c_15747,c_16359]) ).
tff(c_16368,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16365,c_16365,c_15892]) ).
tff(c_16465,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_16368,c_15871]) ).
tff(c_16471,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16465]) ).
tff(c_16512,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16471,c_16365]) ).
tff(c_15932,plain,
! [X_211,Z_212] : ( multiply(inverse(X_211),multiply(X_211,Z_212)) = Z_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15860]) ).
tff(c_15950,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15894,c_15932]) ).
tff(c_15984,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15892,c_15747,c_15950]) ).
tff(c_15988,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15984,c_15984,c_15892]) ).
tff(c_16111,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15988,c_15871]) ).
tff(c_16118,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_16111]) ).
tff(c_15909,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15889,c_15889,c_15889,c_15889,c_15889,c_15889,c_15889,c_15889,c_68]) ).
tff(c_15910,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_15909]) ).
tff(c_15987,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15984,c_15984,c_15910]) ).
tff(c_16249,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16118,c_15987]) ).
tff(c_16250,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15909]) ).
tff(c_24782,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16696,c_16512,c_16471,c_16471,c_16696,c_16512,c_16512,c_2,c_16512,c_16512,c_16696,c_16512,c_16471,c_16512,c_16696,c_16512,c_16512,c_16512,c_2,c_16471,c_16250]) ).
tff(c_24784,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_24782]) ).
tff(c_15896,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15889,c_15758]) ).
tff(c_16373,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_16365,c_15896]) ).
tff(c_16422,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_16373,c_4]) ).
tff(c_16530,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16471,c_16422]) ).
tff(c_16509,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16471,c_16373]) ).
tff(c_16555,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_16530,c_16509]) ).
tff(c_24786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24784,c_16555]) ).
tff(c_24787,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_24782]) ).
tff(c_44096,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_24787]) ).
tff(c_44098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44096,c_16555]) ).
tff(c_44099,plain,
! [X4_10,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_24787]) ).
tff(c_44101,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_44099]) ).
tff(c_44103,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44101,c_16555]) ).
tff(c_45219,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_44099]) ).
tff(c_45221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45219,c_16555]) ).
tff(c_45223,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_58,plain,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_45270,plain,
multiply(sk_c8,sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_45223,c_58]) ).
tff(c_60,plain,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_45279,plain,
multiply(sk_c3,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_45223,c_60]) ).
tff(c_62,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_45235,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_45223,c_62]) ).
tff(c_45239,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45235,c_4]) ).
tff(c_45332,plain,
! [Z_410] : ( multiply(sk_c8,multiply(sk_c3,Z_410)) = multiply(identity,Z_410) ),
inference(superposition,[status(thm),theory(equality)],[c_45239,c_45302]) ).
tff(c_45351,plain,
! [Z_411] : ( multiply(sk_c8,multiply(sk_c3,Z_411)) = Z_411 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45332]) ).
tff(c_45363,plain,
multiply(sk_c8,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_45279,c_45351]) ).
tff(c_45367,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45270,c_45363]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_45249,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_45223,c_56]) ).
tff(c_45374,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45367,c_45249]) ).
tff(c_45222,plain,
inverse(sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_64,plain,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_45285,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_45223,c_64]) ).
tff(c_45369,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45367,c_45285]) ).
tff(c_45759,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_45369,c_45729]) ).
tff(c_45789,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45374,c_45222,c_45759]) ).
tff(c_45796,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45789,c_45789,c_45374]) ).
tff(c_45862,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_45796,c_45349]) ).
tff(c_45868,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45862]) ).
tff(c_45877,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45868,c_45789]) ).
tff(c_45419,plain,
! [X_412,Z_413] : ( multiply(inverse(X_412),multiply(X_412,Z_413)) = Z_413 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45338]) ).
tff(c_45440,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_45369,c_45419]) ).
tff(c_45468,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45222,c_45440]) ).
tff(c_45526,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_45468,c_45349]) ).
tff(c_45532,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_45526]) ).
tff(c_45522,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45468,c_45374]) ).
tff(c_45571,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45532,c_45522]) ).
tff(c_45381,plain,
! [X5_6,X2_9,X4_10,X3_7] :
( ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45367,c_45367,c_45367,c_45367,c_45367,c_45367,c_45367,c_45367,c_68]) ).
tff(c_45382,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_45381]) ).
tff(c_45536,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45522,c_45522,c_45382]) ).
tff(c_45669,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45571,c_45536]) ).
tff(c_45670,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( multiply(sk_c6,sk_c7) != sk_c7 )
| ( inverse(X3_7) != sk_c7 )
| ( multiply(X3_7,sk_c7) != sk_c7 )
| ( inverse(X4_10) != sk_c7 )
| ( multiply(X4_10,sk_c7) != sk_c6 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X2_9,sk_c7)) != sk_c7 )
| ( inverse(X5_6) != sk_c6 )
| ( multiply(X5_6,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_45381]) ).
tff(c_54163,plain,
! [X3_7,X4_10,X2_9,X5_6] :
( ( inverse(X3_7) != identity )
| ( identity != X3_7 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46059,c_45877,c_45868,c_45868,c_46059,c_45877,c_45877,c_2,c_45877,c_45877,c_46059,c_45877,c_45868,c_45877,c_46059,c_45877,c_45877,c_45877,c_2,c_45868,c_45670]) ).
tff(c_54165,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_54163]) ).
tff(c_45376,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_45367,c_45235]) ).
tff(c_45801,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_45789,c_45376]) ).
tff(c_45830,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_45801,c_4]) ).
tff(c_45889,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45868,c_45830]) ).
tff(c_45874,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45868,c_45801]) ).
tff(c_45908,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_45889,c_45874]) ).
tff(c_54167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54165,c_45908]) ).
tff(c_54168,plain,
! [X2_9,X4_10,X3_7] :
( ( inverse(X2_9) != identity )
| ( identity != X2_9 )
| ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X3_7) != identity )
| ( identity != X3_7 ) ),
inference(splitRight,[status(thm)],[c_54163]) ).
tff(c_75760,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_54168]) ).
tff(c_75762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75760,c_45908]) ).
tff(c_75763,plain,
! [X4_10,X2_9] :
( ( inverse(X4_10) != identity )
| ( identity != X4_10 )
| ( inverse(X2_9) != identity )
| ( identity != X2_9 ) ),
inference(splitRight,[status(thm)],[c_54168]) ).
tff(c_75765,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_75763]) ).
tff(c_75767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75765,c_45908]) ).
tff(c_75770,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_75763]) ).
tff(c_75772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75770,c_45908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP290-1 : 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
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 21:47:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 18.60/9.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.60/9.10
% 18.60/9.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.81/9.15
% 18.81/9.15 Inference rules
% 18.81/9.15 ----------------------
% 18.81/9.15 #Ref : 0
% 18.81/9.15 #Sup : 18363
% 18.81/9.15 #Fact : 0
% 18.81/9.15 #Define : 0
% 18.81/9.15 #Split : 28
% 18.81/9.15 #Chain : 0
% 18.81/9.15 #Close : 0
% 18.81/9.15
% 18.81/9.15 Ordering : KBO
% 18.81/9.15
% 18.81/9.15 Simplification rules
% 18.81/9.15 ----------------------
% 18.81/9.15 #Subsume : 4
% 18.81/9.15 #Demod : 56786
% 18.81/9.15 #Tautology : 14890
% 18.81/9.15 #SimpNegUnit : 59
% 18.81/9.15 #BackRed : 415
% 18.81/9.15
% 18.81/9.15 #Partial instantiations: 0
% 18.81/9.15 #Strategies tried : 1
% 18.81/9.15
% 18.81/9.15 Timing (in seconds)
% 18.81/9.15 ----------------------
% 18.81/9.15 Preprocessing : 0.53
% 18.81/9.15 Parsing : 0.22
% 18.81/9.15 CNF conversion : 0.03
% 18.81/9.15 Main loop : 7.40
% 18.81/9.16 Inferencing : 1.67
% 18.81/9.16 Reduction : 4.77
% 18.81/9.16 Demodulation : 4.49
% 18.81/9.16 BG Simplification : 0.14
% 18.81/9.16 Subsumption : 0.57
% 18.81/9.16 Abstraction : 0.41
% 18.81/9.16 MUC search : 0.00
% 18.81/9.16 Cooper : 0.00
% 18.81/9.16 Total : 8.03
% 18.81/9.16 Index Insertion : 0.00
% 18.81/9.16 Index Deletion : 0.00
% 18.81/9.16 Index Matching : 0.00
% 18.81/9.16 BG Taut test : 0.00
%------------------------------------------------------------------------------