TSTP Solution File: GRP357-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP357-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:41:03 EDT 2023
% Result : Unsatisfiable 16.36s 5.56s
% Output : CNFRefutation 16.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 45
% Syntax : Number of formulae : 453 ( 363 unt; 11 typ; 0 def)
% Number of atoms : 577 ( 558 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 262 ( 127 ~; 135 |; 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 : 165 (; 165 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
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_107,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(X3,X4) != sk_c8 )
| ( inverse(X3) != X4 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X5,sk_c8) != X2 )
| ( inverse(X5) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_60,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_24396,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
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_227,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_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_631,plain,
! [X_24,Z_25] : ( multiply(inverse(inverse(X_24)),Z_25) = multiply(X_24,Z_25) ),
inference(superposition,[status(thm),theory(equality)],[c_227,c_189]) ).
tff(c_278,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_227]) ).
tff(c_638,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_631,c_278]) ).
tff(c_36,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_122,plain,
multiply(sk_c1,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_85,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_89,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_176,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_204,plain,
! [Z_17] : ( multiply(sk_c2,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_216,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_122,c_204]) ).
tff(c_245,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_216,c_227]) ).
tff(c_285,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_245]) ).
tff(c_289,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_285,c_216]) ).
tff(c_68,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_301,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 )
| ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c7 )
| ( sk_c7 != sk_c6 )
| ( multiply(inverse(X3_7),sk_c7) != identity )
| ( multiply(X3_7,inverse(X3_7)) != identity )
| ( inverse(identity) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_285,c_285,c_285,c_285,c_2,c_285,c_285,c_285,c_285,c_2,c_285,c_285,c_68]) ).
tff(c_302,plain,
multiply(sk_c7,sk_c6) != identity,
inference(splitLeft,[status(thm)],[c_301]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_111,plain,
multiply(sk_c7,sk_c6) = sk_c8,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_293,plain,
multiply(sk_c7,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_285,c_111]) ).
tff(c_381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_302,c_293]) ).
tff(c_383,plain,
multiply(sk_c7,sk_c6) = identity,
inference(splitRight,[status(thm)],[c_301]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_116,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_167,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c7,Z_15)) = multiply(sk_c8,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_149]) ).
tff(c_384,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c7,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_285,c_167]) ).
tff(c_454,plain,
multiply(sk_c2,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_383,c_384]) ).
tff(c_463,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_289,c_454]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_98,plain,
inverse(sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_102,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_294,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_285,c_102]) ).
tff(c_484,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_289,c_463,c_294]) ).
tff(c_292,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_285,c_116]) ).
tff(c_585,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_484,c_292]) ).
tff(c_652,plain,
! [X_24] : ( multiply(X_24,inverse(X_24)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_631,c_4]) ).
tff(c_486,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_484,c_463]) ).
tff(c_295,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_285,c_98]) ).
tff(c_468,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_463,c_295]) ).
tff(c_485,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_484,c_468]) ).
tff(c_382,plain,
! [X3_7,X1_8,X5_6] :
( ( inverse(identity) != sk_c6 )
| ( sk_c7 != sk_c6 )
| ( multiply(inverse(X3_7),sk_c7) != identity )
| ( multiply(X3_7,inverse(X3_7)) != identity )
| ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c7 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_301]) ).
tff(c_22670,plain,
! [X3_7,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_638,c_585,c_638,c_585,c_652,c_638,c_585,c_585,c_486,c_485,c_486,c_382]) ).
tff(c_22672,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_22670]) ).
tff(c_22674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22672,c_485]) ).
tff(c_22675,plain,
! [X1_8,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X3_7) != identity ) ),
inference(splitRight,[status(thm)],[c_22670]) ).
tff(c_22676,plain,
! [X3_7] : ( inverse(X3_7) != identity ),
inference(splitLeft,[status(thm)],[c_22675]) ).
tff(c_22678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22676,c_485]) ).
tff(c_23431,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_22675]) ).
tff(c_23433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23431,c_485]) ).
tff(c_23434,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_23439,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23434,c_4]) ).
tff(c_23496,plain,
! [X_192,Y_193,Z_194] : ( multiply(multiply(X_192,Y_193),Z_194) = multiply(X_192,multiply(Y_193,Z_194)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_23535,plain,
! [Z_194] : ( multiply(sk_c6,multiply(sk_c8,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_23496]) ).
tff(c_23555,plain,
! [Z_195] : ( multiply(sk_c6,multiply(sk_c8,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23535]) ).
tff(c_23576,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_23439,c_23555]) ).
tff(c_23435,plain,
multiply(sk_c1,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_23450,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_23435,c_42]) ).
tff(c_23454,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23450,c_4]) ).
tff(c_23573,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_23454,c_23555]) ).
tff(c_24005,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_23576,c_23573]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_23485,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_23435,c_40]) ).
tff(c_24014,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24005,c_23485]) ).
tff(c_34,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_23490,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_23435,c_34]) ).
tff(c_24030,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24014,c_23490]) ).
tff(c_38,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_23468,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_23435,c_38]) ).
tff(c_24041,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24030,c_23468]) ).
tff(c_23541,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23496]) ).
tff(c_24150,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_23541]) ).
tff(c_24177,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24014,c_24150]) ).
tff(c_24203,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24041,c_23434,c_24177]) ).
tff(c_32,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_23477,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_23435,c_32]) ).
tff(c_24040,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24030,c_23477]) ).
tff(c_24119,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24041,c_24040]) ).
tff(c_24138,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24119,c_98]) ).
tff(c_24146,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24138,c_4]) ).
tff(c_24236,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24203,c_24146]) ).
tff(c_23567,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23477,c_23555]) ).
tff(c_24050,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24030,c_23567]) ).
tff(c_24134,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24119,c_24119,c_24050]) ).
tff(c_24250,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24236,c_24134]) ).
tff(c_24042,plain,
multiply(sk_c2,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_24030,c_116]) ).
tff(c_24207,plain,
multiply(sk_c2,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24203,c_24042]) ).
tff(c_24334,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24250,c_24250,c_24207]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_24341,plain,
! [Z_5] : ( multiply(sk_c2,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_24334,c_6]) ).
tff(c_24352,plain,
! [Z_206] : ( multiply(sk_c2,Z_206) = Z_206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_24341]) ).
tff(c_24364,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_24352,c_89]) ).
tff(c_24210,plain,
multiply(sk_c1,sk_c2) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24203,c_23435]) ).
tff(c_24349,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24250,c_24210]) ).
tff(c_24374,plain,
multiply(identity,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_24364,c_24349]) ).
tff(c_24377,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24374]) ).
tff(c_24205,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24203,c_24138]) ).
tff(c_24253,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24250,c_24250,c_24205]) ).
tff(c_24376,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_24364,c_85]) ).
tff(c_24379,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24253,c_24376]) ).
tff(c_24386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24377,c_24379]) ).
tff(c_24388,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_24402,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24396,c_24388]) ).
tff(c_24403,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_24408,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24403,c_4]) ).
tff(c_28863,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_28899,plain,
! [Z_275] : ( multiply(sk_c6,multiply(sk_c8,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_28863]) ).
tff(c_28919,plain,
! [Z_276] : ( multiply(sk_c6,multiply(sk_c8,Z_276)) = Z_276 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28899]) ).
tff(c_28937,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_24408,c_28919]) ).
tff(c_24387,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_24392,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_24387,c_4]) ).
tff(c_28940,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_24392,c_28919]) ).
tff(c_29347,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_28937,c_28940]) ).
tff(c_64,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_28853,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_24388,c_64]) ).
tff(c_29359,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29347,c_28853]) ).
tff(c_58,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_28847,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24388,c_58]) ).
tff(c_29368,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29359,c_28847]) ).
tff(c_24463,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_24508,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_24463]) ).
tff(c_27807,plain,
! [X_255,Z_256] : ( multiply(inverse(X_255),multiply(X_255,Z_256)) = Z_256 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24508]) ).
tff(c_24520,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_24508]) ).
tff(c_28141,plain,
! [X_260,Z_261] : ( multiply(inverse(inverse(X_260)),Z_261) = multiply(X_260,Z_261) ),
inference(superposition,[status(thm),theory(equality)],[c_27807,c_24520]) ).
tff(c_27858,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27807]) ).
tff(c_28151,plain,
! [X_260] : ( multiply(X_260,identity) = X_260 ),
inference(superposition,[status(thm),theory(equality)],[c_28141,c_27858]) ).
tff(c_24502,plain,
! [Z_209] : ( multiply(sk_c6,multiply(sk_c8,Z_209)) = multiply(identity,Z_209) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_24463]) ).
tff(c_24522,plain,
! [Z_210] : ( multiply(sk_c6,multiply(sk_c8,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24502]) ).
tff(c_24540,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_24408,c_24522]) ).
tff(c_24543,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_24392,c_24522]) ).
tff(c_24982,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_24540,c_24543]) ).
tff(c_24451,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_24388,c_64]) ).
tff(c_24991,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24982,c_24451]) ).
tff(c_24445,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24388,c_58]) ).
tff(c_25000,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_24445]) ).
tff(c_62,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_24439,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_24388,c_62]) ).
tff(c_25011,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25000,c_24439]) ).
tff(c_56,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_24457,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24388,c_56]) ).
tff(c_25010,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_25000,c_24457]) ).
tff(c_27769,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25011,c_25010]) ).
tff(c_25013,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25000,c_111]) ).
tff(c_27782,plain,
multiply(sk_c5,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_27769,c_25013]) ).
tff(c_27788,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27769,c_98]) ).
tff(c_27831,plain,
multiply(inverse(sk_c8),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_25011,c_27807]) ).
tff(c_27865,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27782,c_27788,c_27831]) ).
tff(c_24431,plain,
multiply(sk_c1,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_27843,plain,
multiply(inverse(sk_c1),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_24431,c_27807]) ).
tff(c_27868,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_27843]) ).
tff(c_27917,plain,
multiply(sk_c2,sk_c5) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_27865,c_27868]) ).
tff(c_27921,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27917,c_24520]) ).
tff(c_27927,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27921]) ).
tff(c_27933,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27927,c_27865]) ).
tff(c_25119,plain,
! [X_219,Z_220] : ( multiply(inverse(X_219),multiply(X_219,Z_220)) = Z_220 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24508]) ).
tff(c_25454,plain,
! [X_224,Z_225] : ( multiply(inverse(inverse(X_224)),Z_225) = multiply(X_224,Z_225) ),
inference(superposition,[status(thm),theory(equality)],[c_24520,c_25119]) ).
tff(c_25170,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_25119]) ).
tff(c_25464,plain,
! [X_224] : ( multiply(X_224,identity) = X_224 ),
inference(superposition,[status(thm),theory(equality)],[c_25454,c_25170]) ).
tff(c_25081,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25011,c_25010]) ).
tff(c_25094,plain,
multiply(sk_c5,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_25081,c_25013]) ).
tff(c_25100,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25081,c_98]) ).
tff(c_25143,plain,
multiply(inverse(sk_c8),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_25011,c_25119]) ).
tff(c_25177,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25094,c_25100,c_25143]) ).
tff(c_25155,plain,
multiply(inverse(sk_c1),sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_24431,c_25119]) ).
tff(c_25180,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_25155]) ).
tff(c_25229,plain,
multiply(sk_c2,sk_c5) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_25177,c_25180]) ).
tff(c_25233,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_25229,c_24520]) ).
tff(c_25239,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_25233]) ).
tff(c_25245,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25239,c_25177]) ).
tff(c_24572,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_24540,c_24543]) ).
tff(c_24581,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24572,c_24451]) ).
tff(c_24606,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24581,c_24445]) ).
tff(c_24617,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24439]) ).
tff(c_24616,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24457]) ).
tff(c_24664,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24617,c_24616]) ).
tff(c_24537,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_24439,c_24522]) ).
tff(c_24614,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24537]) ).
tff(c_24677,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24664,c_24614]) ).
tff(c_24729,plain,
! [X_213,Z_214] : ( multiply(inverse(X_213),multiply(X_213,Z_214)) = Z_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_24508]) ).
tff(c_24747,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_24677,c_24729]) ).
tff(c_24793,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_24747]) ).
tff(c_24762,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_24581,c_24729]) ).
tff(c_24795,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_24617,c_24403,c_24762]) ).
tff(c_24825,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24793,c_24795]) ).
tff(c_24817,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24793,c_24664]) ).
tff(c_24563,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_98,c_24457,c_68]) ).
tff(c_24564,plain,
! [X3_7] :
( ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_24563]) ).
tff(c_24650,plain,
! [X3_212] :
( ( multiply(inverse(X3_212),sk_c5) != sk_c8 )
| ( multiply(X3_212,inverse(X3_212)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24564]) ).
tff(c_24652,plain,
( ( multiply(sk_c8,sk_c5) != sk_c8 )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_24403,c_24650]) ).
tff(c_24660,plain,
( ( sk_c8 != sk_c6 )
| ( sk_c8 != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24581,c_24403,c_24616,c_24652]) ).
tff(c_24957,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24825,c_24793,c_24817,c_24825,c_24660]) ).
tff(c_24958,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_24563]) ).
tff(c_25025,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c5 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25000,c_25000,c_24958]) ).
tff(c_25026,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_25025]) ).
tff(c_27711,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_25464,c_25245,c_2,c_25245,c_25239,c_25245,c_25026]) ).
tff(c_25183,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_25177,c_25100]) ).
tff(c_25244,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25239,c_25239,c_25183]) ).
tff(c_27713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27711,c_25244]) ).
tff(c_27714,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_25025]) ).
tff(c_28827,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28151,c_27933,c_27927,c_27933,c_27714]) ).
tff(c_27871,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27865,c_27788]) ).
tff(c_27932,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27927,c_27927,c_27871]) ).
tff(c_28829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28827,c_27932]) ).
tff(c_28830,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_29380,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29368,c_28830]) ).
tff(c_28838,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_24388,c_56]) ).
tff(c_29379,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_29368,c_28838]) ).
tff(c_29427,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29380,c_29379]) ).
tff(c_28934,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28830,c_28919]) ).
tff(c_29376,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29368,c_28934]) ).
tff(c_29428,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29427,c_29376]) ).
tff(c_28905,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_28863]) ).
tff(c_29468,plain,
! [X_283,Z_284] : ( multiply(inverse(X_283),multiply(X_283,Z_284)) = Z_284 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28905]) ).
tff(c_29486,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29428,c_29468]) ).
tff(c_29526,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29486]) ).
tff(c_29382,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29368,c_111]) ).
tff(c_29452,plain,
multiply(sk_c5,sk_c5) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_29427,c_29382]) ).
tff(c_29460,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29428,c_29452]) ).
tff(c_28831,plain,
multiply(sk_c1,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_29537,plain,
multiply(sk_c1,sk_c2) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29460,c_28831]) ).
tff(c_29610,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29526,c_29537]) ).
tff(c_28917,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_28905]) ).
tff(c_29690,plain,
! [X_287,Z_288] : ( multiply(inverse(inverse(X_287)),Z_288) = multiply(X_287,Z_288) ),
inference(superposition,[status(thm),theory(equality)],[c_28917,c_29468]) ).
tff(c_29519,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29468]) ).
tff(c_29745,plain,
! [X_289] : ( multiply(X_289,identity) = X_289 ),
inference(superposition,[status(thm),theory(equality)],[c_29690,c_29519]) ).
tff(c_29513,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_29468]) ).
tff(c_29759,plain,
inverse(sk_c2) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_29745,c_29513]) ).
tff(c_29835,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29759,c_4]) ).
tff(c_29841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29610,c_29835]) ).
tff(c_29842,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_29848,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29842,c_4]) ).
tff(c_29911,plain,
! [X_290,Y_291,Z_292] : ( multiply(multiply(X_290,Y_291),Z_292) = multiply(X_290,multiply(Y_291,Z_292)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29947,plain,
! [Z_292] : ( multiply(sk_c6,multiply(sk_c8,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_29911]) ).
tff(c_29967,plain,
! [Z_293] : ( multiply(sk_c6,multiply(sk_c8,Z_293)) = Z_293 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29947]) ).
tff(c_29988,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_29848,c_29967]) ).
tff(c_29843,plain,
multiply(sk_c7,sk_c6) != sk_c8,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_29862,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_29843,c_18]) ).
tff(c_29866,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29862,c_4]) ).
tff(c_29985,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29866,c_29967]) ).
tff(c_30014,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_29988,c_29985]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_29900,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_29843,c_16]) ).
tff(c_30025,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30014,c_29900]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_29889,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29843,c_10]) ).
tff(c_30034,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30025,c_29889]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_29884,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29843,c_14]) ).
tff(c_30045,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30034,c_29884]) ).
tff(c_29953,plain,
! [X_2,Z_292] : ( multiply(inverse(X_2),multiply(X_2,Z_292)) = multiply(identity,Z_292) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29911]) ).
tff(c_30104,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_29953]) ).
tff(c_30128,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30025,c_30104]) ).
tff(c_30153,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30045,c_29842,c_30128]) ).
tff(c_8,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_29894,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29843,c_8]) ).
tff(c_30044,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30034,c_29894]) ).
tff(c_30083,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30045,c_30044]) ).
tff(c_30098,plain,
multiply(sk_c5,sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30083,c_102]) ).
tff(c_30196,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30153,c_30098]) ).
tff(c_29979,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29894,c_29967]) ).
tff(c_30043,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30034,c_29979]) ).
tff(c_30095,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30083,c_30083,c_30043]) ).
tff(c_30209,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30196,c_30095]) ).
tff(c_30214,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30209,c_30153]) ).
tff(c_30046,plain,
multiply(sk_c5,sk_c6) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30034,c_29843]) ).
tff(c_30094,plain,
multiply(sk_c5,sk_c5) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_30083,c_30046]) ).
tff(c_30258,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30214,c_30209,c_2,c_30209,c_30094]) ).
tff(c_30260,plain,
inverse(sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_30261,plain,
inverse(sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_30269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30260,c_30261]) ).
tff(c_30271,plain,
inverse(sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_30318,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30271,c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_30313,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_30271,c_28]) ).
tff(c_30270,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_30282,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30270,c_4]) ).
tff(c_30336,plain,
! [X_297,Y_298,Z_299] : ( multiply(multiply(X_297,Y_298),Z_299) = multiply(X_297,multiply(Y_298,Z_299)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30363,plain,
! [Z_299] : ( multiply(sk_c8,multiply(sk_c4,Z_299)) = multiply(identity,Z_299) ),
inference(superposition,[status(thm),theory(equality)],[c_30282,c_30336]) ).
tff(c_30385,plain,
! [Z_300] : ( multiply(sk_c8,multiply(sk_c4,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30363]) ).
tff(c_30397,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30313,c_30385]) ).
tff(c_30401,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30318,c_30397]) ).
tff(c_20,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_30299,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30271,c_20]) ).
tff(c_30406,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30401,c_30299]) ).
tff(c_30259,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_30411,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30401,c_30259]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_30306,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30271,c_22]) ).
tff(c_30405,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30401,c_30306]) ).
tff(c_30372,plain,
! [X_2,Z_299] : ( multiply(inverse(X_2),multiply(X_2,Z_299)) = multiply(identity,Z_299) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30336]) ).
tff(c_30383,plain,
! [X_2,Z_299] : ( multiply(inverse(X_2),multiply(X_2,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30372]) ).
tff(c_30536,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30405,c_30383]) ).
tff(c_30542,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30406,c_30411,c_30536]) ).
tff(c_30546,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30542,c_30542,c_30406]) ).
tff(c_30610,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30546,c_30383]) ).
tff(c_30616,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30610]) ).
tff(c_30410,plain,
inverse(sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30401,c_30271]) ).
tff(c_30549,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30542,c_30410]) ).
tff(c_30623,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_30616,c_30616,c_30549]) ).
tff(c_30275,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30259,c_4]) ).
tff(c_30408,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30401,c_30275]) ).
tff(c_30545,plain,
multiply(sk_c6,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30542,c_30408]) ).
tff(c_30660,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30616,c_30545]) ).
tff(c_30550,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30542,c_30411]) ).
tff(c_30621,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30616,c_30550]) ).
tff(c_30661,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30660,c_30621]) ).
tff(c_30663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30623,c_30661]) ).
tff(c_30665,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_50,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_39706,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30665,c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_30703,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_30665,c_52]) ).
tff(c_30664,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_30687,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30664,c_4]) ).
tff(c_39738,plain,
! [X_404,Y_405,Z_406] : ( multiply(multiply(X_404,Y_405),Z_406) = multiply(X_404,multiply(Y_405,Z_406)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_39765,plain,
! [Z_406] : ( multiply(sk_c8,multiply(sk_c4,Z_406)) = multiply(identity,Z_406) ),
inference(superposition,[status(thm),theory(equality)],[c_30687,c_39738]) ).
tff(c_39783,plain,
! [Z_407] : ( multiply(sk_c8,multiply(sk_c4,Z_407)) = Z_407 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39765]) ).
tff(c_39795,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30703,c_39783]) ).
tff(c_39799,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39706,c_39795]) ).
tff(c_30754,plain,
! [X_303,Y_304,Z_305] : ( multiply(multiply(X_303,Y_304),Z_305) = multiply(X_303,multiply(Y_304,Z_305)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30790,plain,
! [X_2,Z_305] : ( multiply(inverse(X_2),multiply(X_2,Z_305)) = multiply(identity,Z_305) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30754]) ).
tff(c_30801,plain,
! [X_2,Z_305] : ( multiply(inverse(X_2),multiply(X_2,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30790]) ).
tff(c_31236,plain,
! [X_311,Z_312] : ( multiply(inverse(X_311),multiply(X_311,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30790]) ).
tff(c_31541,plain,
! [X_314,Z_315] : ( multiply(inverse(inverse(X_314)),Z_315) = multiply(X_314,Z_315) ),
inference(superposition,[status(thm),theory(equality)],[c_30801,c_31236]) ).
tff(c_31281,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31236]) ).
tff(c_31548,plain,
! [X_314] : ( multiply(X_314,identity) = X_314 ),
inference(superposition,[status(thm),theory(equality)],[c_31541,c_31281]) ).
tff(c_30722,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30665,c_50]) ).
tff(c_30784,plain,
! [Z_305] : ( multiply(sk_c8,multiply(sk_c4,Z_305)) = multiply(identity,Z_305) ),
inference(superposition,[status(thm),theory(equality)],[c_30687,c_30754]) ).
tff(c_30803,plain,
! [Z_306] : ( multiply(sk_c8,multiply(sk_c4,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30784]) ).
tff(c_30815,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_30703,c_30803]) ).
tff(c_30819,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30722,c_30815]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_30735,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30665,c_44]) ).
tff(c_30821,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30819,c_30735]) ).
tff(c_48,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_30666,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_30674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30665,c_30666]) ).
tff(c_30675,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_30830,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30819,c_30675]) ).
tff(c_46,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_30727,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30665,c_46]) ).
tff(c_30822,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30819,c_30727]) ).
tff(c_31257,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30822,c_31236]) ).
tff(c_31289,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30821,c_30830,c_31257]) ).
tff(c_30708,plain,
inverse(sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_30712,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30708,c_4]) ).
tff(c_30824,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30819,c_30712]) ).
tff(c_31384,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31289,c_30824]) ).
tff(c_31293,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31289,c_31289,c_30821]) ).
tff(c_31409,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31384,c_31293]) ).
tff(c_30825,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30819,c_30708]) ).
tff(c_30852,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30825,c_4]) ).
tff(c_31424,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31409,c_30852]) ).
tff(c_31562,plain,
! [X_314] : ( multiply(X_314,inverse(X_314)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_31541,c_4]) ).
tff(c_30912,plain,
! [X_307,Z_308] : ( multiply(inverse(X_307),multiply(X_307,Z_308)) = Z_308 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30790]) ).
tff(c_30945,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30822,c_30912]) ).
tff(c_30974,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30821,c_30830,c_30945]) ).
tff(c_30987,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30974,c_30974,c_30821]) ).
tff(c_31058,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30987,c_30801]) ).
tff(c_31064,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31058]) ).
tff(c_30857,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c7 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30819,c_30825,c_30819,c_30819,c_30819,c_30819,c_30819,c_30819,c_30819,c_30819,c_30819,c_68]) ).
tff(c_30858,plain,
multiply(sk_c7,sk_c6) != sk_c7,
inference(splitLeft,[status(thm)],[c_30857]) ).
tff(c_30983,plain,
multiply(sk_c6,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_30974,c_30974,c_30858]) ).
tff(c_31195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31064,c_30983]) ).
tff(c_31196,plain,
! [X3_7,X1_8,X5_6] :
( ( multiply(sk_c7,sk_c7) != sk_c6 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c7 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_30857]) ).
tff(c_39288,plain,
! [X3_7,X1_8,X5_6] :
( ( inverse(X3_7) != identity )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31548,c_31424,c_31424,c_2,c_31424,c_31424,c_31548,c_31424,c_31424,c_31424,c_31562,c_31424,c_31548,c_31424,c_31424,c_31424,c_2,c_31424,c_31409,c_31196]) ).
tff(c_39290,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_39288]) ).
tff(c_31298,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_31289,c_30825]) ).
tff(c_31413,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31409,c_31409,c_31298]) ).
tff(c_39292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39290,c_31413]) ).
tff(c_39293,plain,
! [X1_8,X3_7] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X3_7) != identity ) ),
inference(splitRight,[status(thm)],[c_39288]) ).
tff(c_39294,plain,
! [X3_7] : ( inverse(X3_7) != identity ),
inference(splitLeft,[status(thm)],[c_39293]) ).
tff(c_39296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39294,c_31413]) ).
tff(c_39695,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_39293]) ).
tff(c_39697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39695,c_31413]) ).
tff(c_39699,plain,
inverse(sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_39714,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_39699,c_20]) ).
tff(c_39801,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39799,c_39714]) ).
tff(c_39809,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39799,c_30675]) ).
tff(c_39698,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_39803,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_39799,c_39698]) ).
tff(c_39771,plain,
! [X_2,Z_406] : ( multiply(inverse(X_2),multiply(X_2,Z_406)) = multiply(identity,Z_406) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_39738]) ).
tff(c_39781,plain,
! [X_2,Z_406] : ( multiply(inverse(X_2),multiply(X_2,Z_406)) = Z_406 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39771]) ).
tff(c_39898,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_39803,c_39781]) ).
tff(c_39904,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39801,c_39809,c_39898]) ).
tff(c_39907,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39904,c_39904,c_39801]) ).
tff(c_40039,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_39907,c_39781]) ).
tff(c_40046,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40039]) ).
tff(c_39804,plain,
inverse(sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39799,c_39699]) ).
tff(c_39912,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39904,c_39804]) ).
tff(c_40054,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_40046,c_40046,c_39912]) ).
tff(c_39910,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_39904,c_39809]) ).
tff(c_39940,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_39910,c_4]) ).
tff(c_40095,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40046,c_39940]) ).
tff(c_40055,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40046,c_39910]) ).
tff(c_40096,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40095,c_40055]) ).
tff(c_40098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40054,c_40096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.18/0.35 % Computer : n026.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.35 % CPULimit : 300
% 0.21/0.35 % WCLimit : 300
% 0.21/0.35 % DateTime : Thu Aug 3 22:21:01 EDT 2023
% 0.21/0.35 % CPUTime :
% 16.36/5.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.36/5.61
% 16.36/5.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.75/5.69
% 16.75/5.69 Inference rules
% 16.75/5.69 ----------------------
% 16.75/5.69 #Ref : 0
% 16.75/5.69 #Sup : 9904
% 16.75/5.69 #Fact : 0
% 16.75/5.69 #Define : 0
% 16.75/5.69 #Split : 28
% 16.75/5.69 #Chain : 0
% 16.75/5.69 #Close : 0
% 16.75/5.69
% 16.75/5.69 Ordering : KBO
% 16.75/5.69
% 16.75/5.69 Simplification rules
% 16.75/5.69 ----------------------
% 16.75/5.69 #Subsume : 7
% 16.75/5.69 #Demod : 27529
% 16.75/5.69 #Tautology : 8012
% 16.75/5.69 #SimpNegUnit : 52
% 16.75/5.69 #BackRed : 477
% 16.75/5.69
% 16.75/5.69 #Partial instantiations: 0
% 16.75/5.69 #Strategies tried : 1
% 16.75/5.69
% 16.75/5.69 Timing (in seconds)
% 16.75/5.69 ----------------------
% 16.75/5.70 Preprocessing : 0.56
% 16.75/5.70 Parsing : 0.23
% 16.75/5.70 CNF conversion : 0.03
% 16.75/5.70 Main loop : 3.89
% 16.75/5.70 Inferencing : 1.09
% 16.75/5.70 Reduction : 2.09
% 16.75/5.70 Demodulation : 1.89
% 16.75/5.70 BG Simplification : 0.11
% 16.75/5.70 Subsumption : 0.37
% 16.75/5.70 Abstraction : 0.22
% 16.75/5.70 MUC search : 0.00
% 16.75/5.70 Cooper : 0.00
% 16.75/5.70 Total : 4.60
% 16.75/5.70 Index Insertion : 0.00
% 16.75/5.70 Index Deletion : 0.00
% 16.75/5.70 Index Matching : 0.00
% 16.75/5.70 BG Taut test : 0.00
%------------------------------------------------------------------------------