TSTP Solution File: GRP302-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:50 EDT 2023
% Result : Unsatisfiable 15.69s 5.66s
% Output : CNFRefutation 16.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of formulae : 415 ( 322 unt; 11 typ; 0 def)
% Number of atoms : 566 ( 546 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 354 ( 192 ~; 162 |; 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 : 205 (; 205 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_66,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_129,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
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_102,axiom,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_63,axiom,
multiply(sk_c8,sk_c7) = sk_c6,
file(unknown,unknown) ).
tff(f_168,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c8 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X4,sk_c8) != sk_c6 )
| ( inverse(X4) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( inverse(X2) != X5 )
| ( inverse(X5) != sk_c8 )
| ( multiply(X2,sk_c8) != X5 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c5) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_78,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_120,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_126,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_132,axiom,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_10,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_43062,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_43066,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43062,c_4]) ).
tff(c_52,plain,
( ( inverse(sk_c5) = sk_c4 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_81,plain,
inverse(sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_85,plain,
multiply(sk_c8,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81,c_4]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_89,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_93,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_89,c_4]) ).
tff(c_135,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_162,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_135]) ).
tff(c_237,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_162]) ).
tff(c_279,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_93,c_237]) ).
tff(c_34,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_117,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_159,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_135]) ).
tff(c_201,plain,
! [Z_17] : ( multiply(sk_c8,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_213,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_117,c_201]) ).
tff(c_255,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_213,c_237]) ).
tff(c_301,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_255]) ).
tff(c_8,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_297,plain,
multiply(inverse(sk_c8),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_237]) ).
tff(c_410,plain,
multiply(inverse(sk_c8),identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_301,c_297]) ).
tff(c_444,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_279,c_410]) ).
tff(c_58,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_60,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_58]) ).
tff(c_193,plain,
inverse(sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_459,plain,
inverse(sk_c8) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_444,c_193]) ).
tff(c_175,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_162]) ).
tff(c_615,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_237]) ).
tff(c_291,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_659,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_615,c_291]) ).
tff(c_669,plain,
inverse(sk_c8) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_659,c_279]) ).
tff(c_731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_459,c_669]) ).
tff(c_733,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_737,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_733,c_4]) ).
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_744,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c8,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_737,c_6]) ).
tff(c_803,plain,
! [Z_30] : ( multiply(sk_c7,multiply(sk_c8,Z_30)) = Z_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_744]) ).
tff(c_836,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_93,c_803]) ).
tff(c_772,plain,
! [Z_29] : ( multiply(sk_c8,multiply(sk_c2,Z_29)) = Z_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_784,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_117,c_772]) ).
tff(c_821,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_784,c_803]) ).
tff(c_846,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_737,c_821]) ).
tff(c_842,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_803]) ).
tff(c_2209,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_836,c_846,c_842]) ).
tff(c_2214,plain,
inverse(sk_c8) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2209,c_733]) ).
tff(c_2226,plain,
multiply(sk_c1,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2214,c_4]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_112,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_156,plain,
! [Z_15] : ( multiply(sk_c8,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_135]) ).
tff(c_177,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156]) ).
tff(c_189,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_177]) ).
tff(c_2148,plain,
! [X_53,Z_54] : ( multiply(inverse(X_53),multiply(X_53,Z_54)) = Z_54 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_162]) ).
tff(c_2172,plain,
multiply(inverse(sk_c8),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_189,c_2148]) ).
tff(c_2203,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_733,c_2172]) ).
tff(c_2311,plain,
multiply(sk_c1,sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2209,c_2209,c_2203]) ).
tff(c_2566,plain,
! [X_61,Z_62] : ( multiply(inverse(inverse(X_61)),Z_62) = multiply(X_61,Z_62) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_2148]) ).
tff(c_2196,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2148]) ).
tff(c_2573,plain,
! [X_61] : ( multiply(X_61,identity) = X_61 ),
inference(superposition,[status(thm),theory(equality)],[c_2566,c_2196]) ).
tff(c_2825,plain,
! [X_66,Y_67,Z_68] : ( multiply(inverse(multiply(X_66,Y_67)),multiply(X_66,multiply(Y_67,Z_68))) = Z_68 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_2148]) ).
tff(c_2912,plain,
! [X_66] : ( multiply(inverse(multiply(X_66,sk_c1)),multiply(X_66,identity)) = sk_c8 ),
inference(superposition,[status(thm),theory(equality)],[c_2226,c_2825]) ).
tff(c_2986,plain,
! [X_66] : ( multiply(inverse(multiply(X_66,sk_c1)),X_66) = sk_c8 ),
inference(demodulation,[status(thm),theory(equality)],[c_2573,c_2912]) ).
tff(c_1024,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_836,c_846,c_842]) ).
tff(c_827,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_189,c_803]) ).
tff(c_1142,plain,
multiply(sk_c1,sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_1024,c_1024,c_827]) ).
tff(c_876,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_836,c_846,c_842]) ).
tff(c_879,plain,
multiply(sk_c8,sk_c8) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_876,c_189]) ).
tff(c_881,plain,
inverse(sk_c8) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_876,c_733]) ).
tff(c_732,plain,
! [X3_7,X4_10,X1_8,X2_9] :
( ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) ) ),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_847,plain,
! [X2_9] :
( ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) ) ),
inference(splitLeft,[status(thm)],[c_732]) ).
tff(c_974,plain,
( ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != inverse(sk_c8) ) ),
inference(superposition,[status(thm),theory(equality)],[c_879,c_847]) ).
tff(c_982,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_879,c_881,c_89,c_974]) ).
tff(c_983,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_732]) ).
tff(c_1003,plain,
! [X1_8,X4_10,X3_7] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != identity )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_846,c_983]) ).
tff(c_1004,plain,
! [X3_7] :
( ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_1003]) ).
tff(c_2097,plain,
! [X3_52] :
( ( multiply(X3_52,sk_c1) != sk_c8 )
| ( inverse(X3_52) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1024,c_1004]) ).
tff(c_2107,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_1142,c_2097]) ).
tff(c_2127,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_2107]) ).
tff(c_2128,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != identity )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_1003]) ).
tff(c_39921,plain,
! [X4_10,X1_8] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != identity )
| ( multiply(X1_8,sk_c1) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2209,c_2128]) ).
tff(c_39923,plain,
! [X1_249] :
( ( multiply(X1_249,sk_c1) != sk_c8 )
| ( inverse(X1_249) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_39921]) ).
tff(c_39983,plain,
inverse(inverse(multiply(sk_c1,sk_c1))) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2986,c_39923]) ).
tff(c_40024,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_2214,c_2311,c_39983]) ).
tff(c_40026,plain,
! [X4_250] :
( ( inverse(X4_250) != sk_c8 )
| ( multiply(X4_250,sk_c8) != identity ) ),
inference(splitRight,[status(thm)],[c_39921]) ).
tff(c_40099,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2226,c_40026]) ).
tff(c_40130,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_40099]) ).
tff(c_40131,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_40136,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40131,c_4]) ).
tff(c_40198,plain,
! [X_251,Y_252,Z_253] : ( multiply(multiply(X_251,Y_252),Z_253) = multiply(X_251,multiply(Y_252,Z_253)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40228,plain,
! [Z_253] : ( multiply(sk_c7,multiply(sk_c8,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_40136,c_40198]) ).
tff(c_40522,plain,
! [Z_261] : ( multiply(sk_c7,multiply(sk_c8,Z_261)) = Z_261 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40228]) ).
tff(c_40564,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_93,c_40522]) ).
tff(c_40567,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_85,c_40522]) ).
tff(c_40755,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_40564,c_40567]) ).
tff(c_40132,plain,
multiply(sk_c2,sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_40757,plain,
multiply(sk_c1,sk_c8) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_40755,c_40132]) ).
tff(c_40234,plain,
! [Z_253] : ( multiply(sk_c8,multiply(sk_c1,Z_253)) = multiply(identity,Z_253) ),
inference(superposition,[status(thm),theory(equality)],[c_93,c_40198]) ).
tff(c_40259,plain,
! [Z_254] : ( multiply(sk_c8,multiply(sk_c1,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40234]) ).
tff(c_40271,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_112,c_40259]) ).
tff(c_40549,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40271,c_40522]) ).
tff(c_40822,plain,
! [Z_263] : ( multiply(sk_c1,multiply(sk_c7,Z_263)) = multiply(sk_c8,Z_263) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_40198]) ).
tff(c_40840,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_40549,c_40822]) ).
tff(c_40856,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_40840]) ).
tff(c_40858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40757,c_40856]) ).
tff(c_40860,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_40889,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_40860,c_30]) ).
tff(c_40859,plain,
inverse(sk_c5) = sk_c4,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_40864,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40859,c_4]) ).
tff(c_40931,plain,
! [X_264,Y_265,Z_266] : ( multiply(multiply(X_264,Y_265),Z_266) = multiply(X_264,multiply(Y_265,Z_266)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40973,plain,
! [X_2,Z_266] : ( multiply(inverse(X_2),multiply(X_2,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40931]) ).
tff(c_41411,plain,
! [X_278,Z_279] : ( multiply(inverse(X_278),multiply(X_278,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40973]) ).
tff(c_41459,plain,
multiply(inverse(sk_c4),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_40864,c_41411]) ).
tff(c_41485,plain,
multiply(sk_c8,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_40889,c_41459]) ).
tff(c_22,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_40902,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_40860,c_22]) ).
tff(c_40906,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40902,c_4]) ).
tff(c_40884,plain,
multiply(sk_c2,sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_40970,plain,
! [Z_266] : ( multiply(sk_c8,multiply(sk_c2,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_40931]) ).
tff(c_41005,plain,
! [Z_268] : ( multiply(sk_c8,multiply(sk_c2,Z_268)) = Z_268 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40970]) ).
tff(c_41017,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40884,c_41005]) ).
tff(c_40952,plain,
! [Z_266] : ( multiply(sk_c7,multiply(sk_c8,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_40906,c_40931]) ).
tff(c_41265,plain,
! [Z_277] : ( multiply(sk_c7,multiply(sk_c8,Z_277)) = Z_277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40952]) ).
tff(c_41292,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_41017,c_41265]) ).
tff(c_41317,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_40906,c_41292]) ).
tff(c_41234,plain,
! [Z_276] : ( multiply(sk_c8,multiply(sk_c7,Z_276)) = multiply(sk_c6,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_40931]) ).
tff(c_41246,plain,
multiply(sk_c8,identity) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_40906,c_41234]) ).
tff(c_41318,plain,
multiply(sk_c8,identity) = multiply(identity,sk_c8),
inference(demodulation,[status(thm),theory(equality)],[c_41317,c_41246]) ).
tff(c_41323,plain,
multiply(sk_c8,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41318]) ).
tff(c_41586,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41485,c_41323]) ).
tff(c_40893,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40889,c_4]) ).
tff(c_41301,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40893,c_41265]) ).
tff(c_41313,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_41265]) ).
tff(c_41329,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_41317,c_41313]) ).
tff(c_41340,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_41301,c_41329]) ).
tff(c_41307,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_93,c_41265]) ).
tff(c_41368,plain,
multiply(sk_c4,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_41340,c_41307]) ).
tff(c_41354,plain,
inverse(sk_c8) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_41340,c_40902]) ).
tff(c_41453,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_40893,c_41411]) ).
tff(c_41484,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_41368,c_41354,c_41453]) ).
tff(c_41355,plain,
multiply(sk_c1,sk_c4) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41340,c_40860]) ).
tff(c_41709,plain,
multiply(sk_c1,sk_c1) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41586,c_41484,c_41355]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c8) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_40924,plain,
multiply(sk_c5,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_40860,c_32]) ).
tff(c_40964,plain,
! [Z_266] : ( multiply(sk_c4,multiply(sk_c5,Z_266)) = multiply(identity,Z_266) ),
inference(superposition,[status(thm),theory(equality)],[c_40864,c_40931]) ).
tff(c_41218,plain,
! [Z_275] : ( multiply(sk_c4,multiply(sk_c5,Z_275)) = Z_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40964]) ).
tff(c_41230,plain,
multiply(sk_c4,sk_c4) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_40924,c_41218]) ).
tff(c_41493,plain,
multiply(sk_c1,sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_41484,c_41484,c_41230]) ).
tff(c_41728,plain,
multiply(sk_c1,sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_41586,c_41493]) ).
tff(c_41729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41709,c_41728]) ).
tff(c_41730,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_41735,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_41730,c_4]) ).
tff(c_41780,plain,
! [X_282,Y_283,Z_284] : ( multiply(multiply(X_282,Y_283),Z_284) = multiply(X_282,multiply(Y_283,Z_284)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41804,plain,
! [Z_284] : ( multiply(sk_c7,multiply(sk_c8,Z_284)) = multiply(identity,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_41735,c_41780]) ).
tff(c_41880,plain,
! [Z_288] : ( multiply(sk_c7,multiply(sk_c8,Z_288)) = Z_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41804]) ).
tff(c_41910,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_93,c_41880]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_40872,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_40860,c_24]) ).
tff(c_40876,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_40872,c_4]) ).
tff(c_41907,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_40876,c_41880]) ).
tff(c_42014,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_41910,c_41907]) ).
tff(c_26,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_41771,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_40860,c_26]) ).
tff(c_42015,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_42014,c_41771]) ).
tff(c_42019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40860,c_42015]) ).
tff(c_42021,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_42045,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_42021,c_10]) ).
tff(c_42049,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42045,c_4]) ).
tff(c_42100,plain,
! [X_289,Y_290,Z_291] : ( multiply(multiply(X_289,Y_290),Z_291) = multiply(X_289,multiply(Y_290,Z_291)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42124,plain,
! [Z_291] : ( multiply(sk_c7,multiply(sk_c8,Z_291)) = multiply(identity,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_42049,c_42100]) ).
tff(c_42387,plain,
! [Z_299] : ( multiply(sk_c7,multiply(sk_c8,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42124]) ).
tff(c_42420,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_85,c_42387]) ).
tff(c_42020,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_42025,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42020,c_4]) ).
tff(c_42423,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_42025,c_42387]) ).
tff(c_42583,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_42420,c_42423]) ).
tff(c_14,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_42083,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42021,c_14]) ).
tff(c_42585,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_42583,c_42083]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_42062,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_42021,c_18]) ).
tff(c_42066,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42062,c_4]) ).
tff(c_42417,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_42066,c_42387]) ).
tff(c_42142,plain,
! [Z_291] : ( multiply(sk_c8,multiply(sk_c7,Z_291)) = multiply(sk_c6,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_42100]) ).
tff(c_42433,plain,
multiply(sk_c8,sk_c4) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_42417,c_42142]) ).
tff(c_42439,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42066,c_42433]) ).
tff(c_42634,plain,
! [Z_5] : ( multiply(sk_c6,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_42439,c_6]) ).
tff(c_42700,plain,
! [Z_302] : ( multiply(sk_c6,Z_302) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_42634]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c4 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_42037,plain,
inverse(sk_c5) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_42021,c_16]) ).
tff(c_42041,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_42037,c_4]) ).
tff(c_42121,plain,
! [Z_291] : ( multiply(sk_c8,multiply(sk_c4,Z_291)) = multiply(identity,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_42066,c_42100]) ).
tff(c_42154,plain,
! [Z_292] : ( multiply(sk_c8,multiply(sk_c4,Z_292)) = Z_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42121]) ).
tff(c_42166,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_42041,c_42154]) ).
tff(c_42363,plain,
! [Z_298] : ( multiply(sk_c8,multiply(sk_c7,Z_298)) = multiply(sk_c6,Z_298) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_42100]) ).
tff(c_42375,plain,
multiply(sk_c8,identity) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_42049,c_42363]) ).
tff(c_42379,plain,
multiply(sk_c6,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_42166,c_42375]) ).
tff(c_42706,plain,
sk_c8 = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_42700,c_42379]) ).
tff(c_42442,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_42420,c_42417]) ).
tff(c_20,plain,
( ( multiply(sk_c5,sk_c8) = sk_c4 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_42090,plain,
multiply(sk_c5,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_42021,c_20]) ).
tff(c_42115,plain,
! [Z_291] : ( multiply(sk_c5,multiply(sk_c8,Z_291)) = multiply(sk_c4,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_42090,c_42100]) ).
tff(c_42661,plain,
! [Z_301] : ( multiply(sk_c5,multiply(sk_c8,Z_301)) = multiply(sk_c2,Z_301) ),
inference(demodulation,[status(thm),theory(equality)],[c_42442,c_42115]) ).
tff(c_42685,plain,
multiply(sk_c5,sk_c6) = multiply(sk_c2,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_8,c_42661]) ).
tff(c_42689,plain,
multiply(sk_c5,sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_42585,c_42685]) ).
tff(c_42719,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_42706,c_42689]) ).
tff(c_42136,plain,
! [X_2,Z_291] : ( multiply(inverse(X_2),multiply(X_2,Z_291)) = multiply(identity,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_42100]) ).
tff(c_42818,plain,
! [X_304,Z_305] : ( multiply(inverse(X_304),multiply(X_304,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42136]) ).
tff(c_42842,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_42719,c_42818]) ).
tff(c_42872,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_42842]) ).
tff(c_42732,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_42706,c_81]) ).
tff(c_42459,plain,
multiply(sk_c2,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_42442,c_42041]) ).
tff(c_42456,plain,
multiply(sk_c5,sk_c8) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_42442,c_42090]) ).
tff(c_42460,plain,
inverse(sk_c5) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_42442,c_42037]) ).
tff(c_42171,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42045,c_60]) ).
tff(c_42308,plain,
! [X3_296] :
( ( multiply(X3_296,sk_c7) != sk_c8 )
| ( inverse(X3_296) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_42171]) ).
tff(c_42315,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42083,c_42308]) ).
tff(c_42330,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42020,c_42315]) ).
tff(c_42331,plain,
! [X4_10,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) ) ),
inference(splitRight,[status(thm)],[c_42171]) ).
tff(c_42539,plain,
! [X2_300] :
( ( inverse(multiply(X2_300,sk_c8)) != sk_c8 )
| ( multiply(X2_300,sk_c8) != inverse(X2_300) ) ),
inference(splitLeft,[status(thm)],[c_42331]) ).
tff(c_42542,plain,
( ( inverse(sk_c2) != sk_c8 )
| ( multiply(sk_c5,sk_c8) != inverse(sk_c5) ) ),
inference(superposition,[status(thm),theory(equality)],[c_42456,c_42539]) ).
tff(c_42566,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42456,c_42460,c_81,c_42542]) ).
tff(c_42567,plain,
! [X1_8,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_42331]) ).
tff(c_42639,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_42567]) ).
tff(c_42751,plain,
! [X4_303] :
( ( inverse(X4_303) != sk_c5 )
| ( multiply(X4_303,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42706,c_42706,c_42639]) ).
tff(c_42758,plain,
( ( inverse(sk_c2) != sk_c5 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_42459,c_42751]) ).
tff(c_43006,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42872,c_42732,c_42758]) ).
tff(c_43008,plain,
! [X1_308] :
( ( multiply(X1_308,sk_c7) != sk_c8 )
| ( inverse(X1_308) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_42567]) ).
tff(c_43014,plain,
inverse(sk_c2) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_42585,c_43008]) ).
tff(c_43034,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_81,c_43014]) ).
tff(c_43036,plain,
inverse(sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_46,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_43087,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_43036,c_46]) ).
tff(c_43091,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43087,c_4]) ).
tff(c_43123,plain,
! [X_309,Y_310,Z_311] : ( multiply(multiply(X_309,Y_310),Z_311) = multiply(X_309,multiply(Y_310,Z_311)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_43144,plain,
! [Z_311] : ( multiply(sk_c7,multiply(sk_c8,Z_311)) = multiply(identity,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_43091,c_43123]) ).
tff(c_43177,plain,
! [Z_312] : ( multiply(sk_c7,multiply(sk_c8,Z_312)) = Z_312 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43144]) ).
tff(c_43192,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_43066,c_43177]) ).
tff(c_48,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_43075,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43036,c_48]) ).
tff(c_43079,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43075,c_4]) ).
tff(c_43189,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_43079,c_43177]) ).
tff(c_43359,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_43192,c_43189]) ).
tff(c_50,plain,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_43100,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43036,c_50]) ).
tff(c_43372,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_43359,c_43100]) ).
tff(c_43677,plain,
! [Z_319] : ( multiply(sk_c8,multiply(sk_c7,Z_319)) = multiply(sk_c6,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_43123]) ).
tff(c_43695,plain,
multiply(sk_c8,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_43192,c_43677]) ).
tff(c_43709,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43066,c_43695]) ).
tff(c_43722,plain,
! [Z_5] : ( multiply(sk_c6,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_43709,c_6]) ).
tff(c_43737,plain,
! [Z_320] : ( multiply(sk_c6,Z_320) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_43722]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_43049,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43036,c_54]) ).
tff(c_43053,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43049,c_4]) ).
tff(c_43195,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_43053,c_43177]) ).
tff(c_43217,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_43189,c_43195]) ).
tff(c_43035,plain,
inverse(sk_c5) = sk_c4,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_43222,plain,
inverse(sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_43217,c_43035]) ).
tff(c_43232,plain,
multiply(sk_c3,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43222,c_4]) ).
tff(c_43385,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43359,c_43232]) ).
tff(c_43147,plain,
! [Z_311] : ( multiply(sk_c8,multiply(sk_c3,Z_311)) = multiply(identity,Z_311) ),
inference(superposition,[status(thm),theory(equality)],[c_43079,c_43123]) ).
tff(c_43171,plain,
! [Z_311] : ( multiply(sk_c8,multiply(sk_c3,Z_311)) = Z_311 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43147]) ).
tff(c_43418,plain,
! [Z_315] : ( multiply(sk_c8,multiply(sk_c1,Z_315)) = Z_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_43359,c_43171]) ).
tff(c_43436,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_43385,c_43418]) ).
tff(c_43704,plain,
multiply(sk_c8,identity) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_43091,c_43677]) ).
tff(c_43711,plain,
multiply(sk_c6,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43436,c_43704]) ).
tff(c_43743,plain,
sk_c8 = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_43737,c_43711]) ).
tff(c_43766,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43743,c_43066]) ).
tff(c_43370,plain,
inverse(sk_c5) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_43359,c_43222]) ).
tff(c_43765,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_43743,c_43087]) ).
tff(c_43771,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_43370,c_43765]) ).
tff(c_43769,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43743,c_8]) ).
tff(c_43805,plain,
multiply(sk_c5,sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_43771,c_43769]) ).
tff(c_43908,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43766,c_43805]) ).
tff(c_43767,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43743,c_43062]) ).
tff(c_43469,plain,
! [Z_316] : ( multiply(sk_c8,multiply(sk_c7,Z_316)) = multiply(sk_c6,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_43123]) ).
tff(c_43487,plain,
multiply(sk_c8,sk_c1) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_43192,c_43469]) ).
tff(c_43501,plain,
multiply(sk_c6,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_43066,c_43487]) ).
tff(c_43514,plain,
! [Z_5] : ( multiply(sk_c6,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_43501,c_6]) ).
tff(c_43529,plain,
! [Z_317] : ( multiply(sk_c6,Z_317) = Z_317 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_43514]) ).
tff(c_43496,plain,
multiply(sk_c8,identity) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_43091,c_43469]) ).
tff(c_43503,plain,
multiply(sk_c6,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43436,c_43496]) ).
tff(c_43535,plain,
sk_c8 = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_43529,c_43503]) ).
tff(c_43557,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_43535,c_43087]) ).
tff(c_43563,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_43370,c_43557]) ).
tff(c_43433,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_43372,c_43418]) ).
tff(c_43551,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_43535,c_43535,c_43433]) ).
tff(c_43634,plain,
multiply(sk_c5,sk_c5) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_43563,c_43551]) ).
tff(c_43559,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_43535,c_43062]) ).
tff(c_43254,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_43192,c_43189]) ).
tff(c_43267,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_43254,c_43100]) ).
tff(c_43252,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43087,c_60]) ).
tff(c_43335,plain,
! [X3_314] :
( ( multiply(X3_314,sk_c7) != sk_c8 )
| ( inverse(X3_314) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_43252]) ).
tff(c_43338,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43267,c_43335]) ).
tff(c_43357,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43062,c_43338]) ).
tff(c_43358,plain,
! [X4_10,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) ) ),
inference(splitRight,[status(thm)],[c_43252]) ).
tff(c_43440,plain,
! [X2_9] :
( ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) ) ),
inference(splitLeft,[status(thm)],[c_43358]) ).
tff(c_43568,plain,
! [X2_9] :
( ( inverse(multiply(X2_9,sk_c5)) != sk_c5 )
| ( multiply(X2_9,sk_c5) != inverse(X2_9) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43535,c_43535,c_43535,c_43440]) ).
tff(c_43638,plain,
( ( inverse(sk_c1) != sk_c5 )
| ( multiply(sk_c5,sk_c5) != inverse(sk_c5) ) ),
inference(superposition,[status(thm),theory(equality)],[c_43634,c_43568]) ).
tff(c_43646,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43634,c_43370,c_43559,c_43638]) ).
tff(c_43647,plain,
! [X1_8,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_43358]) ).
tff(c_43648,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_43647]) ).
tff(c_43777,plain,
! [X4_321] :
( ( inverse(X4_321) != sk_c5 )
| ( multiply(X4_321,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43743,c_43743,c_43648]) ).
tff(c_43784,plain,
( ( inverse(sk_c1) != sk_c5 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_43385,c_43777]) ).
tff(c_44024,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43908,c_43767,c_43784]) ).
tff(c_44047,plain,
! [X1_326] :
( ( multiply(X1_326,sk_c7) != sk_c8 )
| ( inverse(X1_326) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_43647]) ).
tff(c_44050,plain,
inverse(sk_c1) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_43372,c_44047]) ).
tff(c_44069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43062,c_44050]) ).
tff(c_44071,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_44083,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_44071,c_12]) ).
tff(c_44087,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44083,c_4]) ).
tff(c_44070,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_44075,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44070,c_4]) ).
tff(c_44125,plain,
! [X_327,Y_328,Z_329] : ( multiply(multiply(X_327,Y_328),Z_329) = multiply(X_327,multiply(Y_328,Z_329)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_44149,plain,
! [Z_329] : ( multiply(sk_c7,multiply(sk_c8,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_44075,c_44125]) ).
tff(c_44198,plain,
! [Z_331] : ( multiply(sk_c7,multiply(sk_c8,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44149]) ).
tff(c_44216,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_44087,c_44198]) ).
tff(c_44219,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_43053,c_44198]) ).
tff(c_44234,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44216,c_44219]) ).
tff(c_44109,plain,
multiply(sk_c5,sk_c8) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_44071,c_20]) ).
tff(c_44235,plain,
multiply(sk_c5,sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44234,c_44109]) ).
tff(c_43040,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_43035,c_4]) ).
tff(c_44155,plain,
! [Z_329] : ( multiply(sk_c4,multiply(sk_c5,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_43040,c_44125]) ).
tff(c_44172,plain,
! [Z_329] : ( multiply(sk_c4,multiply(sk_c5,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44155]) ).
tff(c_44534,plain,
! [Z_336] : ( multiply(sk_c3,multiply(sk_c5,Z_336)) = Z_336 ),
inference(demodulation,[status(thm),theory(equality)],[c_44234,c_44172]) ).
tff(c_44549,plain,
multiply(sk_c3,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44235,c_44534]) ).
tff(c_44146,plain,
! [Z_329] : ( multiply(sk_c8,multiply(sk_c3,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_44087,c_44125]) ).
tff(c_44169,plain,
! [Z_329] : ( multiply(sk_c8,multiply(sk_c3,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44146]) ).
tff(c_44556,plain,
multiply(sk_c8,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_44549,c_44169]) ).
tff(c_44099,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_43036,c_50]) ).
tff(c_44175,plain,
! [Z_330] : ( multiply(sk_c8,multiply(sk_c3,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44146]) ).
tff(c_44187,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_44099,c_44175]) ).
tff(c_44563,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44556,c_44187]) ).
tff(c_44622,plain,
multiply(sk_c8,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_44563,c_8]) ).
tff(c_44627,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_44087,c_44622]) ).
tff(c_44239,plain,
inverse(sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44234,c_43035]) ).
tff(c_44340,plain,
multiply(sk_c3,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_44239,c_4]) ).
tff(c_44361,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_44340,c_44169]) ).
tff(c_44574,plain,
! [Z_337] : ( multiply(sk_c8,multiply(sk_c7,Z_337)) = multiply(sk_c6,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_44125]) ).
tff(c_44604,plain,
multiply(sk_c8,identity) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_44075,c_44574]) ).
tff(c_44612,plain,
multiply(sk_c6,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_44361,c_44604]) ).
tff(c_45776,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44627,c_44612]) ).
tff(c_45784,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_45776,c_44083]) ).
tff(c_45779,plain,
multiply(sk_c3,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_45776,c_44549]) ).
tff(c_44158,plain,
! [X_2,Z_329] : ( multiply(inverse(X_2),multiply(X_2,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_44125]) ).
tff(c_45811,plain,
! [X_359,Z_360] : ( multiply(inverse(X_359),multiply(X_359,Z_360)) = Z_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44158]) ).
tff(c_44173,plain,
! [X_2,Z_329] : ( multiply(inverse(X_2),multiply(X_2,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44158]) ).
tff(c_46182,plain,
! [X_367,Z_368] : ( multiply(inverse(inverse(X_367)),Z_368) = multiply(X_367,Z_368) ),
inference(superposition,[status(thm),theory(equality)],[c_45811,c_44173]) ).
tff(c_45847,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_45811]) ).
tff(c_46189,plain,
! [X_367] : ( multiply(X_367,identity) = X_367 ),
inference(superposition,[status(thm),theory(equality)],[c_46182,c_45847]) ).
tff(c_46441,plain,
! [X_372,Y_373,Z_374] : ( multiply(inverse(multiply(X_372,Y_373)),multiply(X_372,multiply(Y_373,Z_374))) = Z_374 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_45811]) ).
tff(c_46552,plain,
! [X_372] : ( multiply(inverse(multiply(X_372,sk_c3)),multiply(X_372,identity)) = sk_c5 ),
inference(superposition,[status(thm),theory(equality)],[c_44340,c_46441]) ).
tff(c_46608,plain,
! [X_372] : ( multiply(inverse(multiply(X_372,sk_c3)),X_372) = sk_c5 ),
inference(demodulation,[status(thm),theory(equality)],[c_46189,c_46552]) ).
tff(c_44648,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44627,c_44612]) ).
tff(c_44656,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_44648,c_44083]) ).
tff(c_44399,plain,
! [Z_333] : ( multiply(sk_c3,multiply(sk_c5,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_44234,c_44172]) ).
tff(c_44414,plain,
multiply(sk_c3,sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44235,c_44399]) ).
tff(c_44421,plain,
multiply(sk_c8,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_44414,c_44169]) ).
tff(c_44428,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44421,c_44187]) ).
tff(c_44486,plain,
inverse(sk_c8) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_44428,c_44070]) ).
tff(c_44247,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X3_7,sk_c7) != sk_c8 )
| ( inverse(X3_7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44070,c_60]) ).
tff(c_44309,plain,
! [X3_332] :
( ( multiply(X3_332,sk_c7) != sk_c8 )
| ( inverse(X3_332) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_44247]) ).
tff(c_44319,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_44099,c_44309]) ).
tff(c_44335,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44083,c_44319]) ).
tff(c_44336,plain,
! [X4_10,X1_8,X2_9] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 )
| ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(multiply(X2_9,sk_c8)) != sk_c8 )
| ( multiply(X2_9,sk_c8) != inverse(X2_9) ) ),
inference(splitRight,[status(thm)],[c_44247]) ).
tff(c_44510,plain,
! [X2_335] :
( ( inverse(multiply(X2_335,sk_c8)) != sk_c8 )
| ( multiply(X2_335,sk_c8) != inverse(X2_335) ) ),
inference(splitLeft,[status(thm)],[c_44336]) ).
tff(c_44513,plain,
( ( inverse(sk_c3) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != inverse(sk_c8) ) ),
inference(superposition,[status(thm),theory(equality)],[c_44421,c_44510]) ).
tff(c_44531,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44486,c_44421,c_44083,c_44513]) ).
tff(c_44532,plain,
! [X1_8,X4_10] :
( ( multiply(X1_8,sk_c7) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_44336]) ).
tff(c_44645,plain,
! [X1_8,X4_10] :
( ( multiply(X1_8,sk_c3) != sk_c8 )
| ( inverse(X1_8) != sk_c8 )
| ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44627,c_44563,c_44532]) ).
tff(c_44646,plain,
! [X4_10] :
( ( inverse(X4_10) != sk_c8 )
| ( multiply(X4_10,sk_c8) != identity ) ),
inference(splitLeft,[status(thm)],[c_44645]) ).
tff(c_45742,plain,
! [X4_358] :
( ( inverse(X4_358) != sk_c5 )
| ( multiply(X4_358,sk_c5) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44648,c_44648,c_44646]) ).
tff(c_45755,plain,
inverse(sk_c3) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_44340,c_45742]) ).
tff(c_45773,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44656,c_45755]) ).
tff(c_45774,plain,
! [X1_8] :
( ( multiply(X1_8,sk_c3) != sk_c8 )
| ( inverse(X1_8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_44645]) ).
tff(c_46869,plain,
! [X1_379] :
( ( multiply(X1_379,sk_c3) != sk_c5 )
| ( inverse(X1_379) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45776,c_45776,c_45774]) ).
tff(c_46873,plain,
inverse(inverse(multiply(sk_c3,sk_c3))) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_46608,c_46869]) ).
tff(c_46895,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45784,c_44239,c_45779,c_46873]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu Aug 3 21:49:43 EDT 2023
% 0.10/0.31 % CPUTime :
% 15.69/5.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.69/5.76
% 15.69/5.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.85/5.84
% 16.85/5.84 Inference rules
% 16.85/5.84 ----------------------
% 16.85/5.84 #Ref : 0
% 16.85/5.84 #Sup : 11328
% 16.85/5.84 #Fact : 0
% 16.85/5.84 #Define : 0
% 16.85/5.84 #Split : 28
% 16.85/5.84 #Chain : 0
% 16.85/5.84 #Close : 0
% 16.85/5.84
% 16.85/5.84 Ordering : KBO
% 16.85/5.84
% 16.85/5.85 Simplification rules
% 16.85/5.85 ----------------------
% 16.85/5.85 #Subsume : 2
% 16.85/5.85 #Demod : 30655
% 16.85/5.85 #Tautology : 9084
% 16.85/5.85 #SimpNegUnit : 40
% 16.85/5.85 #BackRed : 325
% 16.85/5.85
% 16.85/5.85 #Partial instantiations: 0
% 16.85/5.85 #Strategies tried : 1
% 16.85/5.85
% 16.85/5.85 Timing (in seconds)
% 16.85/5.85 ----------------------
% 16.85/5.85 Preprocessing : 0.51
% 16.85/5.85 Parsing : 0.21
% 16.85/5.85 CNF conversion : 0.02
% 16.85/5.85 Main loop : 4.30
% 16.85/5.85 Inferencing : 0.95
% 16.85/5.85 Reduction : 2.54
% 16.85/5.85 Demodulation : 2.33
% 16.85/5.85 BG Simplification : 0.09
% 16.85/5.85 Subsumption : 0.49
% 16.85/5.85 Abstraction : 0.17
% 16.85/5.85 MUC search : 0.00
% 16.85/5.85 Cooper : 0.00
% 16.85/5.85 Total : 5.02
% 16.85/5.85 Index Insertion : 0.00
% 16.85/5.85 Index Deletion : 0.00
% 16.85/5.85 Index Matching : 0.00
% 16.85/5.85 BG Taut test : 0.00
%------------------------------------------------------------------------------