TSTP Solution File: GRP353-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP353-1 : 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 : n024.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 10:41:02 EDT 2023
% Result : Unsatisfiable 13.33s 4.65s
% Output : CNFRefutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 34
% Syntax : Number of formulae : 400 ( 332 unt; 10 typ; 0 def)
% Number of atoms : 499 ( 484 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 233 ( 124 ~; 109 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 195 (; 195 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_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_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X2,X1,X3,X4] :
( ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X3,X4) != sk_c6 )
| ( inverse(X3) != X4 )
| ( multiply(X4,sk_c7) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
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_22,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_92,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_34,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_77,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_26243,plain,
! [X_237,Y_238,Z_239] : ( multiply(multiply(X_237,Y_238),Z_239) = multiply(X_237,multiply(Y_238,Z_239)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26282,plain,
! [Z_239] : ( multiply(sk_c7,multiply(sk_c1,Z_239)) = multiply(identity,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_26243]) ).
tff(c_26300,plain,
! [Z_240] : ( multiply(sk_c7,multiply(sk_c1,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26282]) ).
tff(c_26312,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_92,c_26300]) ).
tff(c_26285,plain,
! [X_2,Z_239] : ( multiply(inverse(X_2),multiply(X_2,Z_239)) = multiply(identity,Z_239) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26243]) ).
tff(c_26362,plain,
! [X_243,Z_244] : ( multiply(inverse(X_243),multiply(X_243,Z_244)) = Z_244 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26285]) ).
tff(c_26389,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_26312,c_26362]) ).
tff(c_26441,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_26389]) ).
tff(c_120,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_144,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_120]) ).
tff(c_158,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144]) ).
tff(c_170,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_92,c_158]) ).
tff(c_147,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_120]) ).
tff(c_181,plain,
! [X_16,Z_17] : ( multiply(inverse(X_16),multiply(X_16,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_199,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_170,c_181]) ).
tff(c_230,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_199]) ).
tff(c_10,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_99,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_278,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_99]) ).
tff(c_281,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_278]) ).
tff(c_217,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_181]) ).
tff(c_5346,plain,
multiply(inverse(sk_c5),identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_217]) ).
tff(c_46,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_87,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_214,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_87,c_181]) ).
tff(c_5358,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_5346,c_230,c_281,c_214]) ).
tff(c_288,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_73]) ).
tff(c_5364,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_5358,c_288]) ).
tff(c_279,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_92]) ).
tff(c_5257,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_279]) ).
tff(c_5363,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5358,c_5257]) ).
tff(c_156,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_5515,plain,
! [X_88,Z_89] : ( multiply(inverse(inverse(X_88)),Z_89) = multiply(X_88,Z_89) ),
inference(superposition,[status(thm),theory(equality)],[c_156,c_181]) ).
tff(c_223,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_181]) ).
tff(c_5526,plain,
! [X_88] : ( multiply(X_88,identity) = X_88 ),
inference(superposition,[status(thm),theory(equality)],[c_5515,c_223]) ).
tff(c_357,plain,
! [X_18] : ( multiply(inverse(identity),X_18) = X_18 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_181]) ).
tff(c_535,plain,
! [X_22] : ( multiply(inverse(inverse(identity)),X_22) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_357,c_156]) ).
tff(c_556,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_535,c_4]) ).
tff(c_643,plain,
! [X_24,Z_25] : ( multiply(inverse(inverse(X_24)),Z_25) = multiply(X_24,Z_25) ),
inference(superposition,[status(thm),theory(equality)],[c_156,c_181]) ).
tff(c_691,plain,
! [X_24] : ( multiply(X_24,inverse(X_24)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_643]) ).
tff(c_393,plain,
multiply(inverse(sk_c5),identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_281,c_230,c_214]) ).
tff(c_405,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_281,c_217]) ).
tff(c_412,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_281]) ).
tff(c_141,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c5,Z_14)) = multiply(sk_c6,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_120]) ).
tff(c_478,plain,
! [Z_14] : ( multiply(sk_c1,multiply(sk_c1,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_412,c_405,c_2,c_230,c_141]) ).
tff(c_654,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_643,c_223]) ).
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_1085,plain,
! [X_33,Y_34,Z_35] : ( multiply(inverse(multiply(X_33,Y_34)),multiply(X_33,multiply(Y_34,Z_35))) = Z_35 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_181]) ).
tff(c_1145,plain,
! [X_33,X_24] : ( multiply(inverse(multiply(X_33,X_24)),multiply(X_33,identity)) = inverse(X_24) ),
inference(superposition,[status(thm),theory(equality)],[c_691,c_1085]) ).
tff(c_1978,plain,
! [X_47,X_48] : ( multiply(inverse(multiply(X_47,X_48)),X_47) = inverse(X_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_654,c_1145]) ).
tff(c_2089,plain,
! [Z_14] : ( multiply(inverse(Z_14),sk_c1) = inverse(multiply(sk_c1,Z_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_478,c_1978]) ).
tff(c_237,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_230,c_99]) ).
tff(c_240,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_237]) ).
tff(c_56,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_234,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99,c_87,c_56]) ).
tff(c_235,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitLeft,[status(thm)],[c_234]) ).
tff(c_274,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_240,c_2,c_230,c_235]) ).
tff(c_275,plain,
! [X2_6,X1_7,X3_8] :
( ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_234]) ).
tff(c_304,plain,
! [X2_6,X1_7,X3_8] :
( ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != identity )
| ( multiply(X1_7,identity) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( multiply(inverse(X3_8),sk_c5) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_281,c_230,c_281,c_281,c_230,c_281,c_230,c_281,c_275]) ).
tff(c_305,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c5) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(splitLeft,[status(thm)],[c_304]) ).
tff(c_5222,plain,
! [X3_83] : ( inverse(multiply(sk_c1,X3_83)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_691,c_2089,c_405,c_305]) ).
tff(c_5240,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_691,c_5222]) ).
tff(c_5255,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_556,c_5240]) ).
tff(c_5256,plain,
! [X1_7,X2_6] :
( ( multiply(X1_7,identity) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != identity ) ),
inference(splitRight,[status(thm)],[c_304]) ).
tff(c_26103,plain,
! [X1_7,X2_6] :
( ( sk_c1 != X1_7 )
| ( inverse(X1_7) != sk_c1 )
| ( inverse(X2_6) != sk_c1 )
| ( multiply(X2_6,sk_c1) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5358,c_5358,c_5358,c_5526,c_5358,c_5256]) ).
tff(c_26105,plain,
! [X2_236] :
( ( inverse(X2_236) != sk_c1 )
| ( multiply(X2_236,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_26103]) ).
tff(c_26156,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_5363,c_26105]) ).
tff(c_26182,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5364,c_26156]) ).
tff(c_26184,plain,
inverse(sk_c1) != sk_c1,
inference(splitRight,[status(thm)],[c_26103]) ).
tff(c_26186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26184,c_5364]) ).
tff(c_26188,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_26454,plain,
multiply(identity,sk_c5) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_26441,c_26188]) ).
tff(c_26457,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26454]) ).
tff(c_26437,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_26362]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_26222,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_26188,c_8]) ).
tff(c_26452,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26441,c_26222]) ).
tff(c_26296,plain,
! [X_2,Z_239] : ( multiply(inverse(X_2),multiply(X_2,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26285]) ).
tff(c_26543,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_26452,c_26296]) ).
tff(c_26555,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_26437,c_26543]) ).
tff(c_26557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26457,c_26555]) ).
tff(c_26559,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_27913,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26559,c_26]) ).
tff(c_26598,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26559,c_26]) ).
tff(c_28,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_26581,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_26559,c_28]) ).
tff(c_26585,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26581,c_4]) ).
tff(c_26621,plain,
! [X_246,Y_247,Z_248] : ( multiply(multiply(X_246,Y_247),Z_248) = multiply(X_246,multiply(Y_247,Z_248)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_26645,plain,
! [Z_248] : ( multiply(sk_c4,multiply(sk_c3,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_26585,c_26621]) ).
tff(c_27158,plain,
! [Z_261] : ( multiply(sk_c4,multiply(sk_c3,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26645]) ).
tff(c_27170,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_26598,c_27158]) ).
tff(c_26663,plain,
! [X_2,Z_248] : ( multiply(inverse(X_2),multiply(X_2,Z_248)) = multiply(identity,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_26621]) ).
tff(c_27181,plain,
! [X_262,Z_263] : ( multiply(inverse(X_262),multiply(X_262,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26663]) ).
tff(c_27199,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27170,c_27181]) ).
tff(c_27263,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27199]) ).
tff(c_27269,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_27263,c_27170]) ).
tff(c_16,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_26574,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_27276,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_27263,c_26574]) ).
tff(c_27280,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27276]) ).
tff(c_27278,plain,
multiply(sk_c7,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27263,c_87]) ).
tff(c_27329,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27280,c_27278]) ).
tff(c_30,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_26611,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_26559,c_30]) ).
tff(c_26636,plain,
! [Z_248] : ( multiply(sk_c4,multiply(sk_c7,Z_248)) = multiply(sk_c6,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_26611,c_26621]) ).
tff(c_27448,plain,
! [Z_265] : ( multiply(sk_c4,multiply(sk_c5,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_27280,c_2,c_27263,c_26636]) ).
tff(c_27466,plain,
multiply(sk_c4,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27329,c_27448]) ).
tff(c_27473,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_27269,c_27466]) ).
tff(c_26558,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_27290,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27280,c_26558]) ).
tff(c_27482,plain,
inverse(sk_c2) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_27473,c_27290]) ).
tff(c_27483,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_27473,c_27280]) ).
tff(c_24,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_26606,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_26559,c_24]) ).
tff(c_26639,plain,
! [Z_248] : ( multiply(sk_c2,multiply(sk_c6,Z_248)) = multiply(sk_c7,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_26606,c_26621]) ).
tff(c_27548,plain,
! [Z_266] : ( multiply(sk_c4,Z_266) = multiply(sk_c2,Z_266) ),
inference(demodulation,[status(thm),theory(equality)],[c_27483,c_2,c_27263,c_26639]) ).
tff(c_27596,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_26585,c_27548]) ).
tff(c_26674,plain,
! [X_2,Z_248] : ( multiply(inverse(X_2),multiply(X_2,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_26663]) ).
tff(c_27615,plain,
multiply(inverse(sk_c2),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_27596,c_26674]) ).
tff(c_27621,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_27269,c_27482,c_27615]) ).
tff(c_27292,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27280,c_73]) ).
tff(c_27313,plain,
multiply(sk_c5,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27292,c_4]) ).
tff(c_27463,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_27313,c_27448]) ).
tff(c_27721,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27621,c_27463]) ).
tff(c_27639,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_27621,c_26581]) ).
tff(c_27703,plain,
multiply(sk_c3,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27639,c_4]) ).
tff(c_26642,plain,
! [Z_248] : ( multiply(sk_c3,multiply(sk_c4,Z_248)) = multiply(sk_c6,Z_248) ),
inference(superposition,[status(thm),theory(equality)],[c_26598,c_26621]) ).
tff(c_27672,plain,
! [Z_248] : ( multiply(sk_c3,multiply(sk_c3,Z_248)) = Z_248 ),
inference(demodulation,[status(thm),theory(equality)],[c_27621,c_2,c_27263,c_26642]) ).
tff(c_27740,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_27703,c_27672]) ).
tff(c_27749,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27721,c_27740]) ).
tff(c_27762,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27749,c_27621]) ).
tff(c_27303,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27290,c_4]) ).
tff(c_27469,plain,
multiply(sk_c4,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_27303,c_27448]) ).
tff(c_27816,plain,
multiply(sk_c1,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_27762,c_27469]) ).
tff(c_27630,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_27621,c_27482]) ).
tff(c_27759,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27749,c_27630]) ).
tff(c_27575,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27548,c_26585]) ).
tff(c_27829,plain,
multiply(sk_c2,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27749,c_27575]) ).
tff(c_27833,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_27829,c_26674]) ).
tff(c_27839,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27816,c_27759,c_27833]) ).
tff(c_27479,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27473,c_27473,c_27329]) ).
tff(c_27554,plain,
multiply(sk_c2,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27548,c_27479]) ).
tff(c_27851,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27839,c_27762,c_27554]) ).
tff(c_27277,plain,
multiply(sk_c1,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27263,c_26559]) ).
tff(c_27395,plain,
multiply(sk_c1,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27280,c_27277]) ).
tff(c_27476,plain,
multiply(sk_c1,sk_c4) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27473,c_27395]) ).
tff(c_27625,plain,
multiply(sk_c1,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27621,c_27476]) ).
tff(c_27894,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27851,c_27749,c_27625]) ).
tff(c_27895,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_27900,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27895,c_4]) ).
tff(c_27945,plain,
! [X_268,Y_269,Z_270] : ( multiply(multiply(X_268,Y_269),Z_270) = multiply(X_268,multiply(Y_269,Z_270)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27972,plain,
! [Z_270] : ( multiply(sk_c4,multiply(sk_c3,Z_270)) = multiply(identity,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_27900,c_27945]) ).
tff(c_28010,plain,
! [Z_272] : ( multiply(sk_c4,multiply(sk_c3,Z_272)) = Z_272 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27972]) ).
tff(c_28022,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_27913,c_28010]) ).
tff(c_27984,plain,
! [X_2,Z_270] : ( multiply(inverse(X_2),multiply(X_2,Z_270)) = multiply(identity,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27945]) ).
tff(c_28058,plain,
! [X_274,Z_275] : ( multiply(inverse(X_274),multiply(X_274,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27984]) ).
tff(c_28082,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28022,c_28058]) ).
tff(c_28134,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28082]) ).
tff(c_27896,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_28146,plain,
multiply(identity,sk_c5) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28134,c_27896]) ).
tff(c_28149,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28146]) ).
tff(c_28130,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28058]) ).
tff(c_27920,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_27896,c_8]) ).
tff(c_28144,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28134,c_27920]) ).
tff(c_27995,plain,
! [X_2,Z_270] : ( multiply(inverse(X_2),multiply(X_2,Z_270)) = Z_270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27984]) ).
tff(c_28248,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28144,c_27995]) ).
tff(c_28260,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28130,c_28248]) ).
tff(c_28262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28149,c_28260]) ).
tff(c_28264,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_50,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_28300,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28264,c_50]) ).
tff(c_52,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_28277,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_28264,c_52]) ).
tff(c_28281,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28277,c_4]) ).
tff(c_28683,plain,
! [X_288,Y_289,Z_290] : ( multiply(multiply(X_288,Y_289),Z_290) = multiply(X_288,multiply(Y_289,Z_290)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28710,plain,
! [Z_290] : ( multiply(sk_c4,multiply(sk_c3,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_28281,c_28683]) ).
tff(c_28732,plain,
! [Z_291] : ( multiply(sk_c4,multiply(sk_c3,Z_291)) = Z_291 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28710]) ).
tff(c_28744,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_28300,c_28732]) ).
tff(c_28719,plain,
! [X_2,Z_290] : ( multiply(inverse(X_2),multiply(X_2,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28683]) ).
tff(c_28836,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_28719]) ).
tff(c_28869,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28744,c_28836]) ).
tff(c_28912,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28869]) ).
tff(c_28331,plain,
! [X_278,Y_279,Z_280] : ( multiply(multiply(X_278,Y_279),Z_280) = multiply(X_278,multiply(Y_279,Z_280)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28364,plain,
! [Z_280] : ( multiply(sk_c4,multiply(sk_c3,Z_280)) = multiply(identity,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_28281,c_28331]) ).
tff(c_28386,plain,
! [Z_281] : ( multiply(sk_c4,multiply(sk_c3,Z_281)) = Z_281 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28364]) ).
tff(c_28398,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_28300,c_28386]) ).
tff(c_28373,plain,
! [X_2,Z_280] : ( multiply(inverse(X_2),multiply(X_2,Z_280)) = multiply(identity,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28331]) ).
tff(c_28470,plain,
! [X_285,Z_286] : ( multiply(inverse(X_285),multiply(X_285,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28373]) ).
tff(c_28503,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28398,c_28470]) ).
tff(c_28556,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28503]) ).
tff(c_28306,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_28570,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28556,c_28306]) ).
tff(c_28575,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28570]) ).
tff(c_28573,plain,
multiply(sk_c7,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28556,c_28264]) ).
tff(c_28659,plain,
multiply(sk_c5,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28575,c_28573]) ).
tff(c_48,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_28325,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_28264,c_48]) ).
tff(c_28263,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_28268,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28263,c_4]) ).
tff(c_28367,plain,
! [Z_280] : ( multiply(sk_c7,multiply(sk_c2,Z_280)) = multiply(identity,Z_280) ),
inference(superposition,[status(thm),theory(equality)],[c_28268,c_28331]) ).
tff(c_28411,plain,
! [Z_282] : ( multiply(sk_c7,multiply(sk_c2,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28367]) ).
tff(c_28423,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28325,c_28411]) ).
tff(c_28565,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28556,c_28423]) ).
tff(c_28660,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28575,c_28575,c_28565]) ).
tff(c_28661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28659,c_28660]) ).
tff(c_28662,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_28663,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_28670,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_28663,c_12]) ).
tff(c_28713,plain,
! [Z_290] : ( multiply(sk_c7,multiply(sk_c2,Z_290)) = multiply(identity,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_28268,c_28683]) ).
tff(c_28770,plain,
! [Z_293] : ( multiply(sk_c7,multiply(sk_c2,Z_293)) = Z_293 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28713]) ).
tff(c_28782,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28670,c_28770]) ).
tff(c_54,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_28295,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_28264,c_54]) ).
tff(c_28707,plain,
! [Z_290] : ( multiply(sk_c4,multiply(sk_c7,Z_290)) = multiply(sk_c6,Z_290) ),
inference(superposition,[status(thm),theory(equality)],[c_28295,c_28683]) ).
tff(c_28814,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_28782,c_28707]) ).
tff(c_28820,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28744,c_28662,c_28814]) ).
tff(c_28822,plain,
multiply(sk_c6,sk_c4) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28820,c_28663]) ).
tff(c_28920,plain,
multiply(identity,sk_c4) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28912,c_28822]) ).
tff(c_28927,plain,
sk_c7 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28920]) ).
tff(c_28908,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28836]) ).
tff(c_28823,plain,
multiply(sk_c6,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28820,c_28662]) ).
tff(c_28919,plain,
multiply(identity,sk_c7) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28912,c_28823]) ).
tff(c_28730,plain,
! [X_2,Z_290] : ( multiply(inverse(X_2),multiply(X_2,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28719]) ).
tff(c_28987,plain,
multiply(inverse(identity),sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28919,c_28730]) ).
tff(c_28999,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28908,c_28987]) ).
tff(c_29001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28927,c_28999]) ).
tff(c_29003,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_38,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_29039,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29003,c_38]) ).
tff(c_40,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_29015,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_29003,c_40]) ).
tff(c_29019,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29015,c_4]) ).
tff(c_29065,plain,
! [X_298,Y_299,Z_300] : ( multiply(multiply(X_298,Y_299),Z_300) = multiply(X_298,multiply(Y_299,Z_300)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29089,plain,
! [Z_300] : ( multiply(sk_c4,multiply(sk_c3,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_29019,c_29065]) ).
tff(c_29341,plain,
! [Z_306] : ( multiply(sk_c4,multiply(sk_c3,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29089]) ).
tff(c_29353,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29039,c_29341]) ).
tff(c_29098,plain,
! [X_2,Z_300] : ( multiply(inverse(X_2),multiply(X_2,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29065]) ).
tff(c_30106,plain,
! [X_321,Z_322] : ( multiply(inverse(X_321),multiply(X_321,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29098]) ).
tff(c_30130,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29353,c_30106]) ).
tff(c_30176,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30130]) ).
tff(c_29113,plain,
! [Z_301] : ( multiply(sk_c4,multiply(sk_c3,Z_301)) = Z_301 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29089]) ).
tff(c_29125,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_29039,c_29113]) ).
tff(c_29159,plain,
! [X_303,Z_304] : ( multiply(inverse(X_303),multiply(X_303,Z_304)) = Z_304 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29098]) ).
tff(c_29183,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29125,c_29159]) ).
tff(c_29223,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29183]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_29032,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_29003,c_32]) ).
tff(c_29111,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29032,c_56]) ).
tff(c_29112,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitLeft,[status(thm)],[c_29111]) ).
tff(c_29230,plain,
multiply(identity,sk_c5) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29223,c_29112]) ).
tff(c_29235,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29230]) ).
tff(c_29219,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_29159]) ).
tff(c_29233,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29223,c_29032]) ).
tff(c_29108,plain,
! [X_2,Z_300] : ( multiply(inverse(X_2),multiply(X_2,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29098]) ).
tff(c_29317,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29233,c_29108]) ).
tff(c_29329,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29219,c_29317]) ).
tff(c_29331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29235,c_29329]) ).
tff(c_29333,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_29111]) ).
tff(c_30220,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30176,c_29333]) ).
tff(c_30225,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30220]) ).
tff(c_29002,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_29007,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_29002,c_4]) ).
tff(c_30231,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30225,c_29007]) ).
tff(c_29426,plain,
! [X_309,Z_310] : ( multiply(inverse(X_309),multiply(X_309,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29098]) ).
tff(c_29459,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29353,c_29426]) ).
tff(c_29502,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29459]) ).
tff(c_29513,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29502,c_29333]) ).
tff(c_29520,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29513]) ).
tff(c_36,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_29045,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_29003,c_36]) ).
tff(c_29095,plain,
! [Z_300] : ( multiply(sk_c7,multiply(sk_c2,Z_300)) = multiply(identity,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_29007,c_29065]) ).
tff(c_29365,plain,
! [Z_307] : ( multiply(sk_c7,multiply(sk_c2,Z_307)) = Z_307 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29095]) ).
tff(c_29377,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29045,c_29365]) ).
tff(c_29509,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29502,c_29377]) ).
tff(c_29591,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29520,c_29520,c_29509]) ).
tff(c_29332,plain,
! [X2_6,X1_7,X3_8] :
( ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_29111]) ).
tff(c_29357,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_29332]) ).
tff(c_29512,plain,
multiply(sk_c7,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29502,c_29357]) ).
tff(c_29685,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29591,c_29520,c_29512]) ).
tff(c_29687,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_29332]) ).
tff(c_29691,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c5,Z_5)) = multiply(sk_c6,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_29687,c_6]) ).
tff(c_34469,plain,
! [Z_5] : ( multiply(sk_c5,multiply(sk_c5,Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30176,c_30225,c_29691]) ).
tff(c_34517,plain,
multiply(sk_c5,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_30231,c_34469]) ).
tff(c_30219,plain,
multiply(sk_c7,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30176,c_29687]) ).
tff(c_34444,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_30225,c_30219]) ).
tff(c_34470,plain,
! [Z_379] : ( multiply(sk_c5,multiply(sk_c5,Z_379)) = Z_379 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30176,c_30225,c_29691]) ).
tff(c_34491,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_34444,c_34470]) ).
tff(c_34557,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_34517,c_34491]) ).
tff(c_34853,plain,
! [X_384,Z_385] : ( multiply(inverse(inverse(X_384)),Z_385) = multiply(X_384,Z_385) ),
inference(superposition,[status(thm),theory(equality)],[c_29108,c_30106]) ).
tff(c_30169,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30106]) ).
tff(c_34860,plain,
! [X_384] : ( multiply(X_384,identity) = X_384 ),
inference(superposition,[status(thm),theory(equality)],[c_34853,c_30169]) ).
tff(c_30181,plain,
! [X_323] : ( multiply(inverse(identity),X_323) = X_323 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_30106]) ).
tff(c_30509,plain,
! [X_326] : ( multiply(inverse(inverse(identity)),X_326) = X_326 ),
inference(superposition,[status(thm),theory(equality)],[c_30181,c_29108]) ).
tff(c_30545,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_30509]) ).
tff(c_30582,plain,
! [X_327,Z_328] : ( multiply(inverse(inverse(X_327)),Z_328) = multiply(X_327,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_30106,c_29108]) ).
tff(c_30603,plain,
! [X_327] : ( multiply(X_327,inverse(X_327)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_30582,c_4]) ).
tff(c_30133,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29687,c_30106]) ).
tff(c_30329,plain,
multiply(inverse(sk_c5),identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30225,c_30176,c_30133]) ).
tff(c_30163,plain,
multiply(inverse(sk_c7),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29007,c_30106]) ).
tff(c_30342,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30329,c_30225,c_30163]) ).
tff(c_30233,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_30225,c_29002]) ).
tff(c_30348,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30342,c_30233]) ).
tff(c_30154,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_29019,c_30106]) ).
tff(c_30350,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30342,c_30225]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_29023,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_29003,c_42]) ).
tff(c_30157,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29023,c_30106]) ).
tff(c_30445,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30154,c_30350,c_30176,c_30157]) ).
tff(c_30450,plain,
inverse(sk_c2) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_30445,c_29015]) ).
tff(c_30452,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_30348,c_30450]) ).
tff(c_29083,plain,
! [Z_300] : ( multiply(sk_c3,multiply(sk_c4,Z_300)) = multiply(sk_c6,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_29039,c_29065]) ).
tff(c_30467,plain,
! [Z_300] : ( multiply(sk_c2,multiply(sk_c2,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_30452,c_30445,c_2,c_30176,c_29083]) ).
tff(c_30589,plain,
! [X_327] : ( multiply(X_327,identity) = X_327 ),
inference(superposition,[status(thm),theory(equality)],[c_30582,c_30169]) ).
tff(c_30877,plain,
! [X_334,Y_335,Z_336] : ( multiply(inverse(multiply(X_334,Y_335)),multiply(X_334,multiply(Y_335,Z_336))) = Z_336 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_30106]) ).
tff(c_30925,plain,
! [X_334,X_327] : ( multiply(inverse(multiply(X_334,X_327)),multiply(X_334,identity)) = inverse(X_327) ),
inference(superposition,[status(thm),theory(equality)],[c_30603,c_30877]) ).
tff(c_31732,plain,
! [X_348,X_349] : ( multiply(inverse(multiply(X_348,X_349)),X_348) = inverse(X_349) ),
inference(demodulation,[status(thm),theory(equality)],[c_30589,c_30925]) ).
tff(c_31843,plain,
! [Z_300] : ( multiply(inverse(Z_300),sk_c2) = inverse(multiply(sk_c2,Z_300)) ),
inference(superposition,[status(thm),theory(equality)],[c_30467,c_31732]) ).
tff(c_29686,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_29332]) ).
tff(c_29726,plain,
! [X2_314] :
( ( inverse(X2_314) != sk_c7 )
| ( multiply(X2_314,sk_c7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_29686]) ).
tff(c_29743,plain,
( ( inverse(inverse(sk_c7)) != sk_c7 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29726]) ).
tff(c_29752,plain,
sk_c6 != identity,
inference(splitLeft,[status(thm)],[c_29743]) ).
tff(c_29753,plain,
! [X_315,Z_316] : ( multiply(inverse(X_315),multiply(X_315,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29098]) ).
tff(c_29777,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29353,c_29753]) ).
tff(c_29823,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29777]) ).
tff(c_29825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29752,c_29823]) ).
tff(c_29827,plain,
sk_c6 = identity,
inference(splitRight,[status(thm)],[c_29743]) ).
tff(c_29832,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_29827,c_29353]) ).
tff(c_29920,plain,
! [X_317,Z_318] : ( multiply(inverse(X_317),multiply(X_317,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29098]) ).
tff(c_29965,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_29019,c_29920]) ).
tff(c_29834,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_29827,c_29333]) ).
tff(c_29839,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29834]) ).
tff(c_29838,plain,
multiply(sk_c4,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29827,c_29023]) ).
tff(c_29871,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29839,c_29838]) ).
tff(c_29950,plain,
multiply(inverse(sk_c4),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29871,c_29920]) ).
tff(c_30042,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_29965,c_29950]) ).
tff(c_29833,plain,
multiply(sk_c7,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29827,c_29687]) ).
tff(c_29901,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29839,c_29833]) ).
tff(c_29941,plain,
multiply(inverse(sk_c5),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_29901,c_29920]) ).
tff(c_30043,plain,
multiply(inverse(sk_c3),identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_30042,c_30042,c_29941]) ).
tff(c_30055,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_29832,c_29015,c_30043]) ).
tff(c_29702,plain,
! [Z_313] : ( multiply(sk_c7,multiply(sk_c2,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29095]) ).
tff(c_29714,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29045,c_29702]) ).
tff(c_29748,plain,
inverse(sk_c7) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29714,c_29726]) ).
tff(c_29844,plain,
inverse(sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_29839,c_29839,c_29748]) ).
tff(c_30048,plain,
inverse(sk_c3) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_30042,c_30042,c_29844]) ).
tff(c_30058,plain,
sk_c4 != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_29015,c_30048]) ).
tff(c_30097,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30055,c_30058]) ).
tff(c_30098,plain,
! [X1_7,X3_8] :
( ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_29686]) ).
tff(c_30260,plain,
! [X1_7,X3_8] :
( ( multiply(X1_7,identity) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( multiply(inverse(X3_8),sk_c5) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30176,c_30225,c_30176,c_30225,c_30225,c_30176,c_30098]) ).
tff(c_30261,plain,
! [X3_8] :
( ( multiply(inverse(X3_8),sk_c5) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(splitLeft,[status(thm)],[c_30260]) ).
tff(c_34409,plain,
! [X3_378] : ( inverse(multiply(sk_c2,X3_378)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_30603,c_31843,c_30342,c_30261]) ).
tff(c_34427,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_30603,c_34409]) ).
tff(c_34442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30545,c_34427]) ).
tff(c_34443,plain,
! [X1_7] :
( ( multiply(X1_7,identity) != sk_c5 )
| ( inverse(X1_7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_30260]) ).
tff(c_35431,plain,
inverse(sk_c2) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_34557,c_34860,c_34557,c_34443]) ).
tff(c_34564,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_34557,c_30233]) ).
tff(c_35433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35431,c_34564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP353-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 22:06:45 EDT 2023
% 0.14/0.37 % CPUTime :
% 13.33/4.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.33/4.69
% 13.33/4.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.33/4.75
% 13.33/4.75 Inference rules
% 13.33/4.75 ----------------------
% 13.33/4.75 #Ref : 0
% 13.33/4.75 #Sup : 8615
% 13.33/4.75 #Fact : 0
% 13.33/4.75 #Define : 0
% 13.33/4.75 #Split : 22
% 13.33/4.75 #Chain : 0
% 13.33/4.75 #Close : 0
% 13.33/4.75
% 13.33/4.75 Ordering : KBO
% 13.33/4.75
% 13.33/4.75 Simplification rules
% 13.33/4.75 ----------------------
% 13.33/4.75 #Subsume : 9
% 13.33/4.75 #Demod : 19856
% 13.33/4.75 #Tautology : 6779
% 13.33/4.75 #SimpNegUnit : 43
% 13.33/4.75 #BackRed : 314
% 13.33/4.75
% 13.33/4.75 #Partial instantiations: 0
% 13.33/4.75 #Strategies tried : 1
% 13.33/4.75
% 13.33/4.75 Timing (in seconds)
% 13.33/4.75 ----------------------
% 13.33/4.76 Preprocessing : 0.51
% 13.33/4.76 Parsing : 0.21
% 13.33/4.76 CNF conversion : 0.02
% 13.33/4.76 Main loop : 3.03
% 13.33/4.76 Inferencing : 0.86
% 13.33/4.76 Reduction : 1.54
% 13.33/4.76 Demodulation : 1.38
% 13.33/4.76 BG Simplification : 0.08
% 13.33/4.76 Subsumption : 0.35
% 13.33/4.76 Abstraction : 0.15
% 13.33/4.76 MUC search : 0.00
% 13.33/4.76 Cooper : 0.00
% 13.33/4.76 Total : 3.66
% 13.33/4.76 Index Insertion : 0.00
% 13.33/4.76 Index Deletion : 0.00
% 13.33/4.76 Index Matching : 0.00
% 13.33/4.76 BG Taut test : 0.00
%------------------------------------------------------------------------------