TSTP Solution File: GRP306-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP306-1 : 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 : n028.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 10:40:51 EDT 2023
% Result : Unsatisfiable 8.97s 3.25s
% Output : CNFRefutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 36
% Syntax : Number of formulae : 431 ( 356 unt; 11 typ; 0 def)
% Number of atoms : 525 ( 511 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 217 ( 112 ~; 105 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 162 (; 162 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_63,axiom,
multiply(sk_c8,sk_c7) = sk_c6,
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_114,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_78,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_153,axiom,
! [X5,X3,X1,X2,X4] :
( ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(X3,X4) != sk_c8 )
| ( inverse(X3) != X4 )
| ( multiply(X4,sk_c7) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X5,sk_c8) != X2 )
| ( inverse(X5) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_120,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_66,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ( inverse(sk_c8) = sk_c6 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4427,plain,
! [X_100,Y_101,Z_102] : ( multiply(multiply(X_100,Y_101),Z_102) = multiply(X_100,multiply(Y_101,Z_102)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_4460,plain,
! [X_2,Z_102] : ( multiply(inverse(X_2),multiply(X_2,Z_102)) = multiply(identity,Z_102) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4427]) ).
tff(c_6501,plain,
! [X_140,Z_141] : ( multiply(inverse(X_140),multiply(X_140,Z_141)) = Z_141 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4460]) ).
tff(c_4474,plain,
! [X_2,Z_102] : ( multiply(inverse(X_2),multiply(X_2,Z_102)) = Z_102 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4460]) ).
tff(c_6856,plain,
! [X_145,Z_146] : ( multiply(inverse(inverse(X_145)),Z_146) = multiply(X_145,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_6501,c_4474]) ).
tff(c_6552,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6501]) ).
tff(c_6863,plain,
! [X_145] : ( multiply(X_145,identity) = X_145 ),
inference(superposition,[status(thm),theory(equality)],[c_6856,c_6552]) ).
tff(c_123,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_150,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_123]) ).
tff(c_211,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_150]) ).
tff(c_163,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_150]) ).
tff(c_1421,plain,
! [X_41,Z_42] : ( multiply(inverse(inverse(X_41)),Z_42) = multiply(X_41,Z_42) ),
inference(superposition,[status(thm),theory(equality)],[c_211,c_163]) ).
tff(c_262,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_211]) ).
tff(c_1428,plain,
! [X_41] : ( multiply(X_41,identity) = X_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1421,c_262]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c2,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_77,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_106,plain,
multiply(sk_c1,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_147,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_123]) ).
tff(c_188,plain,
! [Z_17] : ( multiply(sk_c2,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_200,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_106,c_188]) ).
tff(c_229,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_200,c_211]) ).
tff(c_272,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_229]) ).
tff(c_138,plain,
! [Z_15] : ( multiply(sk_c1,multiply(sk_c2,Z_15)) = multiply(sk_c8,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_123]) ).
tff(c_1201,plain,
! [Z_37] : ( multiply(sk_c1,multiply(sk_c2,Z_37)) = Z_37 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_272,c_138]) ).
tff(c_1228,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_1201]) ).
tff(c_423,plain,
multiply(identity,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_8]) ).
tff(c_1141,plain,
sk_c7 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_423,c_2]) ).
tff(c_42,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_99,plain,
multiply(sk_c2,sk_c7) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_420,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_99]) ).
tff(c_1159,plain,
multiply(sk_c2,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1141,c_420]) ).
tff(c_1219,plain,
multiply(sk_c1,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_1159,c_1201]) ).
tff(c_1256,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1228,c_1219]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_81,plain,
inverse(sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_85,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81,c_4]) ).
tff(c_144,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c8,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_123]) ).
tff(c_161,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c8,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144]) ).
tff(c_418,plain,
! [Z_15] : ( multiply(sk_c6,multiply(identity,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_161]) ).
tff(c_424,plain,
! [Z_15] : ( multiply(sk_c6,Z_15) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_418]) ).
tff(c_1257,plain,
! [Z_15] : ( multiply(sk_c1,Z_15) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_1256,c_424]) ).
tff(c_1281,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1257,c_1228]) ).
tff(c_1259,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1256,c_1141]) ).
tff(c_1340,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1281,c_1259]) ).
tff(c_695,plain,
! [X_25,Z_26] : ( multiply(inverse(inverse(X_25)),Z_26) = multiply(X_25,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_163,c_211]) ).
tff(c_702,plain,
! [X_25] : ( multiply(X_25,identity) = X_25 ),
inference(superposition,[status(thm),theory(equality)],[c_695,c_262]) ).
tff(c_417,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_200]) ).
tff(c_253,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_211]) ).
tff(c_463,plain,
sk_c7 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_423,c_2]) ).
tff(c_247,plain,
multiply(inverse(sk_c2),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99,c_211]) ).
tff(c_551,plain,
multiply(inverse(sk_c2),identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_463,c_272,c_247]) ).
tff(c_563,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_551]) ).
tff(c_422,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_81]) ).
tff(c_578,plain,
inverse(identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_563,c_422]) ).
tff(c_591,plain,
multiply(inverse(sk_c1),identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_578,c_262]) ).
tff(c_600,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_417,c_73,c_591]) ).
tff(c_637,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_600,c_253]) ).
tff(c_644,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_637]) ).
tff(c_577,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_563,c_463]) ).
tff(c_651,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_644,c_577]) ).
tff(c_286,plain,
multiply(identity,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_8]) ).
tff(c_324,plain,
sk_c7 = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_286,c_2]) ).
tff(c_283,plain,
multiply(sk_c2,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_99]) ).
tff(c_398,plain,
multiply(sk_c2,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_324,c_283]) ).
tff(c_282,plain,
multiply(sk_c1,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_106]) ).
tff(c_50,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_52,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 )
| ( inverse(sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_50]) ).
tff(c_278,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81,c_52]) ).
tff(c_279,plain,
! [X3_7] :
( ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_278]) ).
tff(c_385,plain,
! [X3_21] :
( ( multiply(inverse(X3_21),sk_c6) != identity )
| ( multiply(X3_21,inverse(X3_21)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_324,c_272,c_279]) ).
tff(c_389,plain,
( ( multiply(sk_c2,sk_c6) != identity )
| ( multiply(sk_c1,inverse(sk_c1)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_73,c_385]) ).
tff(c_395,plain,
multiply(sk_c2,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_73,c_389]) ).
tff(c_415,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_398,c_395]) ).
tff(c_416,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_278]) ).
tff(c_440,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c7 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_2,c_272,c_272,c_272,c_272,c_416]) ).
tff(c_441,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_440]) ).
tff(c_1083,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_702,c_651,c_441]) ).
tff(c_650,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_644,c_578]) ).
tff(c_1085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1083,c_650]) ).
tff(c_1086,plain,
! [X1_8] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_440]) ).
tff(c_1683,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1428,c_1340,c_1086]) ).
tff(c_141,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c7,Z_15)) = multiply(sk_c8,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_123]) ).
tff(c_1312,plain,
! [Z_15] : ( multiply(sk_c2,Z_15) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_1257,c_1259,c_2,c_272,c_141]) ).
tff(c_1314,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1312,c_417]) ).
tff(c_1344,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1281,c_73]) ).
tff(c_1371,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1314,c_1344]) ).
tff(c_1685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1683,c_1371]) ).
tff(c_1686,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_1691,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1686,c_4]) ).
tff(c_1734,plain,
! [X_48,Y_49,Z_50] : ( multiply(multiply(X_48,Y_49),Z_50) = multiply(X_48,multiply(Y_49,Z_50)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1767,plain,
! [Z_50] : ( multiply(sk_c6,multiply(sk_c8,Z_50)) = multiply(identity,Z_50) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_1734]) ).
tff(c_1790,plain,
! [Z_51] : ( multiply(sk_c6,multiply(sk_c8,Z_51)) = Z_51 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1767]) ).
tff(c_1808,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_1691,c_1790]) ).
tff(c_1687,plain,
multiply(sk_c1,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_1704,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_1687,c_28]) ).
tff(c_1708,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1704,c_4]) ).
tff(c_1805,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_1708,c_1790]) ).
tff(c_2038,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_1808,c_1805]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_1718,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_1687,c_26]) ).
tff(c_2039,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2038,c_1718]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_1723,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_1687,c_20]) ).
tff(c_2064,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2039,c_1723]) ).
tff(c_24,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_1729,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_1687,c_24]) ).
tff(c_2075,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2064,c_1729]) ).
tff(c_2077,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2064,c_8]) ).
tff(c_2116,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2075,c_2077]) ).
tff(c_1811,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_1790]) ).
tff(c_2074,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2064,c_1811]) ).
tff(c_2117,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2116,c_2116,c_2074]) ).
tff(c_1773,plain,
! [X_2,Z_50] : ( multiply(inverse(X_2),multiply(X_2,Z_50)) = multiply(identity,Z_50) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1734]) ).
tff(c_2172,plain,
! [X_57,Z_58] : ( multiply(inverse(X_57),multiply(X_57,Z_58)) = Z_58 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1773]) ).
tff(c_2193,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2117,c_2172]) ).
tff(c_2236,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2193]) ).
tff(c_2119,plain,
multiply(sk_c5,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2116,c_1808]) ).
tff(c_2242,plain,
multiply(identity,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2236,c_2119]) ).
tff(c_2251,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2242]) ).
tff(c_2211,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2039,c_2172]) ).
tff(c_2238,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2075,c_1686,c_2211]) ).
tff(c_2256,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2236,c_2238]) ).
tff(c_2259,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2256,c_1686]) ).
tff(c_2317,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2251,c_2259]) ).
tff(c_2248,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2236,c_2064]) ).
tff(c_1764,plain,
! [Z_50] : ( multiply(sk_c2,multiply(sk_c7,Z_50)) = multiply(sk_c8,Z_50) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_1734]) ).
tff(c_2334,plain,
! [Z_60] : ( multiply(sk_c2,Z_60) = Z_60 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2248,c_2,c_2256,c_1764]) ).
tff(c_2349,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_2334,c_77]) ).
tff(c_2364,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2349,c_73]) ).
tff(c_2367,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2317,c_2364]) ).
tff(c_2258,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2256,c_1687]) ).
tff(c_2403,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2367,c_2,c_2349,c_2258]) ).
tff(c_2404,plain,
inverse(sk_c3) = sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_2409,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2404,c_4]) ).
tff(c_3452,plain,
! [X_80,Y_81,Z_82] : ( multiply(multiply(X_80,Y_81),Z_82) = multiply(X_80,multiply(Y_81,Z_82)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3482,plain,
! [Z_82] : ( multiply(sk_c6,multiply(sk_c8,Z_82)) = multiply(identity,Z_82) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_3452]) ).
tff(c_3505,plain,
! [Z_83] : ( multiply(sk_c6,multiply(sk_c8,Z_83)) = Z_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3482]) ).
tff(c_3523,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_2409,c_3505]) ).
tff(c_2405,plain,
multiply(sk_c2,sk_c7) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_40,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_2453,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2405,c_40]) ).
tff(c_2423,plain,
multiply(sk_c1,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_2459,plain,
! [X_62,Y_63,Z_64] : ( multiply(multiply(X_62,Y_63),Z_64) = multiply(X_62,multiply(Y_63,Z_64)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2495,plain,
! [Z_64] : ( multiply(sk_c2,multiply(sk_c1,Z_64)) = multiply(identity,Z_64) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_2459]) ).
tff(c_2835,plain,
! [Z_70] : ( multiply(sk_c2,multiply(sk_c1,Z_70)) = Z_70 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2495]) ).
tff(c_2847,plain,
multiply(sk_c2,sk_c8) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_2423,c_2835]) ).
tff(c_2498,plain,
! [X_2,Z_64] : ( multiply(inverse(X_2),multiply(X_2,Z_64)) = multiply(identity,Z_64) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2459]) ).
tff(c_3261,plain,
! [X_77,Z_78] : ( multiply(inverse(X_77),multiply(X_77,Z_78)) = Z_78 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2498]) ).
tff(c_3288,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2847,c_3261]) ).
tff(c_3321,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3288]) ).
tff(c_2492,plain,
! [Z_64] : ( multiply(sk_c6,multiply(sk_c8,Z_64)) = multiply(identity,Z_64) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_2459]) ).
tff(c_2858,plain,
! [Z_71] : ( multiply(sk_c6,multiply(sk_c8,Z_71)) = Z_71 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2492]) ).
tff(c_2876,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_2409,c_2858]) ).
tff(c_48,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_2428,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_2405,c_48]) ).
tff(c_2432,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2428,c_4]) ).
tff(c_2873,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_2432,c_2858]) ).
tff(c_2899,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2876,c_2873]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_2448,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_2405,c_46]) ).
tff(c_2924,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2899,c_2448]) ).
tff(c_2940,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2924,c_2453]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_2442,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2405,c_44]) ).
tff(c_2951,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2940,c_2442]) ).
tff(c_3285,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2924,c_3261]) ).
tff(c_3320,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2951,c_2404,c_3285]) ).
tff(c_3339,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3321,c_3320]) ).
tff(c_2953,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2940,c_8]) ).
tff(c_3232,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2951,c_2953]) ).
tff(c_3249,plain,
inverse(sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3232,c_81]) ).
tff(c_3325,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3320,c_3249]) ).
tff(c_3370,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3339,c_3339,c_3325]) ).
tff(c_3010,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2951,c_2953]) ).
tff(c_2879,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_2858]) ).
tff(c_2950,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2940,c_2879]) ).
tff(c_3022,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3010,c_3010,c_2950]) ).
tff(c_3057,plain,
! [X_74,Z_75] : ( multiply(inverse(X_74),multiply(X_74,Z_75)) = Z_75 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2498]) ).
tff(c_3075,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3022,c_3057]) ).
tff(c_3121,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3075]) ).
tff(c_3087,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2924,c_3057]) ).
tff(c_3123,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2951,c_2404,c_3087]) ).
tff(c_3142,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3121,c_3123]) ).
tff(c_2541,plain,
! [Z_66] : ( multiply(sk_c6,multiply(sk_c8,Z_66)) = Z_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2492]) ).
tff(c_2559,plain,
multiply(sk_c6,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_2409,c_2541]) ).
tff(c_2556,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_2432,c_2541]) ).
tff(c_2581,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2559,c_2556]) ).
tff(c_2590,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2581,c_2448]) ).
tff(c_2606,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2590,c_2453]) ).
tff(c_2631,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2606,c_2442]) ).
tff(c_2633,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2606,c_8]) ).
tff(c_2657,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2631,c_2633]) ).
tff(c_2562,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_2541]) ).
tff(c_2630,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2606,c_2562]) ).
tff(c_2685,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2657,c_2657,c_2630]) ).
tff(c_2693,plain,
! [X_68,Z_69] : ( multiply(inverse(X_68),multiply(X_68,Z_69)) = Z_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2498]) ).
tff(c_2711,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2685,c_2693]) ).
tff(c_2754,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2711]) ).
tff(c_2720,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2590,c_2693]) ).
tff(c_2756,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2631,c_2404,c_2720]) ).
tff(c_2773,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2754,c_2756]) ).
tff(c_2763,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2754,c_2657]) ).
tff(c_2516,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 )
| ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c8 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81,c_52]) ).
tff(c_2614,plain,
! [X3_67] :
( ( multiply(inverse(X3_67),sk_c7) != sk_c8 )
| ( multiply(X3_67,inverse(X3_67)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_2516]) ).
tff(c_2616,plain,
( ( multiply(sk_c8,sk_c7) != sk_c8 )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2404,c_2614]) ).
tff(c_2624,plain,
( ( sk_c8 != sk_c6 )
| ( sk_c8 != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2590,c_2404,c_8,c_2616]) ).
tff(c_2833,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2773,c_2754,c_2763,c_2773,c_2624]) ).
tff(c_2834,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c8 )
| ( multiply(X1_8,sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_2516]) ).
tff(c_2883,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_2834]) ).
tff(c_2966,plain,
! [X5_73] :
( ( inverse(X5_73) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_73,sk_c8)) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2940,c_2883]) ).
tff(c_2987,plain,
( ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_2966]) ).
tff(c_3009,plain,
multiply(sk_c8,sk_c8) != sk_c5,
inference(splitLeft,[status(thm)],[c_2987]) ).
tff(c_3229,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3142,c_2,c_3142,c_3121,c_3009]) ).
tff(c_3230,plain,
inverse(identity) != sk_c8,
inference(splitRight,[status(thm)],[c_2987]) ).
tff(c_3327,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3320,c_3230]) ).
tff(c_3384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3370,c_3339,c_3327]) ).
tff(c_3386,plain,
! [X1_79] :
( ( inverse(X1_79) != sk_c8 )
| ( multiply(X1_79,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_2834]) ).
tff(c_3396,plain,
inverse(sk_c3) != sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_2453,c_3386]) ).
tff(c_3414,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2404,c_3396]) ).
tff(c_3415,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_3420,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3415,c_4]) ).
tff(c_3520,plain,
multiply(sk_c6,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_3420,c_3505]) ).
tff(c_3552,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_3523,c_3520]) ).
tff(c_3441,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_2405,c_46]) ).
tff(c_3553,plain,
multiply(sk_c3,sk_c8) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3552,c_3441]) ).
tff(c_3416,plain,
multiply(sk_c1,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_3431,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3416,c_20]) ).
tff(c_3562,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3553,c_3431]) ).
tff(c_3436,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2405,c_44]) ).
tff(c_3572,plain,
multiply(sk_c8,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3562,c_3436]) ).
tff(c_3574,plain,
multiply(sk_c8,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3562,c_8]) ).
tff(c_3599,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3572,c_3574]) ).
tff(c_3526,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_3505]) ).
tff(c_3571,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3562,c_3526]) ).
tff(c_3616,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3599,c_3599,c_3571]) ).
tff(c_3488,plain,
! [X_2,Z_82] : ( multiply(inverse(X_2),multiply(X_2,Z_82)) = multiply(identity,Z_82) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3452]) ).
tff(c_3641,plain,
! [X_84,Z_85] : ( multiply(inverse(X_84),multiply(X_84,Z_85)) = Z_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3488]) ).
tff(c_3665,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3616,c_3641]) ).
tff(c_3699,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3665]) ).
tff(c_3674,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_3553,c_3641]) ).
tff(c_3701,plain,
sk_c8 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3572,c_2404,c_3674]) ).
tff(c_3718,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3699,c_3701]) ).
tff(c_3719,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_3718,c_3416]) ).
tff(c_3805,plain,
! [Z_87] : ( multiply(sk_c2,multiply(sk_c1,Z_87)) = Z_87 ),
inference(superposition,[status(thm),theory(equality)],[c_73,c_3641]) ).
tff(c_3503,plain,
! [X_2,Z_82] : ( multiply(inverse(X_2),multiply(X_2,Z_82)) = Z_82 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3488]) ).
tff(c_3875,plain,
! [Z_89] : ( multiply(inverse(sk_c2),Z_89) = multiply(sk_c1,Z_89) ),
inference(superposition,[status(thm),theory(equality)],[c_3805,c_3503]) ).
tff(c_3895,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3875,c_4]) ).
tff(c_3913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3719,c_3895]) ).
tff(c_3915,plain,
inverse(sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_3950,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3915,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_3944,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3915,c_16]) ).
tff(c_3914,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_3919,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3914,c_4]) ).
tff(c_3972,plain,
! [X_90,Y_91,Z_92] : ( multiply(multiply(X_90,Y_91),Z_92) = multiply(X_90,multiply(Y_91,Z_92)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3999,plain,
! [Z_92] : ( multiply(sk_c8,multiply(sk_c4,Z_92)) = multiply(identity,Z_92) ),
inference(superposition,[status(thm),theory(equality)],[c_3919,c_3972]) ).
tff(c_4034,plain,
! [Z_94] : ( multiply(sk_c8,multiply(sk_c4,Z_94)) = Z_94 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3999]) ).
tff(c_4046,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_3944,c_4034]) ).
tff(c_4050,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3950,c_4046]) ).
tff(c_4061,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4050,c_8]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_3957,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3915,c_10]) ).
tff(c_4053,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4050,c_3957]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_3931,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_3915,c_12]) ).
tff(c_3935,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3931,c_4]) ).
tff(c_3996,plain,
! [Z_92] : ( multiply(sk_c8,multiply(sk_c3,Z_92)) = multiply(identity,Z_92) ),
inference(superposition,[status(thm),theory(equality)],[c_3935,c_3972]) ).
tff(c_4016,plain,
! [Z_92] : ( multiply(sk_c8,multiply(sk_c3,Z_92)) = Z_92 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3996]) ).
tff(c_4128,plain,
! [Z_95] : ( multiply(sk_c7,multiply(sk_c3,Z_95)) = Z_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_4050,c_4016]) ).
tff(c_4140,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_4053,c_4128]) ).
tff(c_4144,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4061,c_4140]) ).
tff(c_4216,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4144,c_4144,c_4061]) ).
tff(c_4005,plain,
! [X_2,Z_92] : ( multiply(inverse(X_2),multiply(X_2,Z_92)) = multiply(identity,Z_92) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3972]) ).
tff(c_4019,plain,
! [X_2,Z_92] : ( multiply(inverse(X_2),multiply(X_2,Z_92)) = Z_92 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4005]) ).
tff(c_4293,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_4216,c_4019]) ).
tff(c_4299,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4293]) ).
tff(c_4059,plain,
inverse(sk_c7) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4050,c_3915]) ).
tff(c_4218,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4144,c_4059]) ).
tff(c_4325,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_4299,c_4299,c_4218]) ).
tff(c_4060,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4050,c_3914]) ).
tff(c_4217,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4144,c_4060]) ).
tff(c_4286,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4217,c_4]) ).
tff(c_4344,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4299,c_4286]) ).
tff(c_4326,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4299,c_4217]) ).
tff(c_4359,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4344,c_4326]) ).
tff(c_4360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4325,c_4359]) ).
tff(c_4362,plain,
inverse(sk_c1) != sk_c2,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_4400,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_4362,c_34]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_4415,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_4362,c_36]) ).
tff(c_4361,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_4366,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4361,c_4]) ).
tff(c_4457,plain,
! [Z_102] : ( multiply(sk_c8,multiply(sk_c4,Z_102)) = multiply(identity,Z_102) ),
inference(superposition,[status(thm),theory(equality)],[c_4366,c_4427]) ).
tff(c_4489,plain,
! [Z_104] : ( multiply(sk_c8,multiply(sk_c4,Z_104)) = Z_104 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4457]) ).
tff(c_4501,plain,
multiply(sk_c8,sk_c5) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_4415,c_4489]) ).
tff(c_4505,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4400,c_4501]) ).
tff(c_4388,plain,
inverse(sk_c8) = sk_c6,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_4392,plain,
multiply(sk_c6,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4388,c_4]) ).
tff(c_4511,plain,
multiply(sk_c6,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_4392]) ).
tff(c_4512,plain,
inverse(sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_4388]) ).
tff(c_4510,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_4400]) ).
tff(c_6525,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_4510,c_6501]) ).
tff(c_6560,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4511,c_4512,c_6525]) ).
tff(c_4517,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_8]) ).
tff(c_32,plain,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_4370,plain,
inverse(sk_c3) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_4362,c_32]) ).
tff(c_4515,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_4370]) ).
tff(c_30,plain,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_4410,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_4362,c_30]) ).
tff(c_4509,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_4410]) ).
tff(c_6534,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_4509,c_6501]) ).
tff(c_6563,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4517,c_4515,c_6534]) ).
tff(c_6567,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6563,c_6563,c_4510]) ).
tff(c_6631,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6560,c_6567]) ).
tff(c_6572,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6563,c_4512]) ).
tff(c_4516,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4505,c_4361]) ).
tff(c_4532,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4516,c_4]) ).
tff(c_6568,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6563,c_4532]) ).
tff(c_6688,plain,
multiply(inverse(sk_c6),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_6568,c_4474]) ).
tff(c_6694,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_6631,c_6572,c_6688]) ).
tff(c_6573,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6563,c_4516]) ).
tff(c_6616,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6573,c_4]) ).
tff(c_6715,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6694,c_6616]) ).
tff(c_6569,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6563,c_6563,c_4517]) ).
tff(c_6753,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6715,c_6694,c_6694,c_6694,c_6569]) ).
tff(c_6706,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_6694,c_6563]) ).
tff(c_6756,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6753,c_6706]) ).
tff(c_4600,plain,
! [X_105,Z_106] : ( multiply(inverse(X_105),multiply(X_105,Z_106)) = Z_106 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4460]) ).
tff(c_4943,plain,
! [X_110,Z_111] : ( multiply(inverse(inverse(X_110)),Z_111) = multiply(X_110,Z_111) ),
inference(superposition,[status(thm),theory(equality)],[c_4474,c_4600]) ).
tff(c_4964,plain,
! [X_110] : ( multiply(X_110,inverse(X_110)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4943,c_4]) ).
tff(c_4633,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_4509,c_4600]) ).
tff(c_4662,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4517,c_4515,c_4633]) ).
tff(c_4539,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4512,c_4]) ).
tff(c_4687,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4662,c_4539]) ).
tff(c_4673,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4662,c_4662,c_4517]) ).
tff(c_4814,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4687,c_4673]) ).
tff(c_4825,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4814,c_4662]) ).
tff(c_4651,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4600]) ).
tff(c_4950,plain,
! [X_110] : ( multiply(X_110,identity) = X_110 ),
inference(superposition,[status(thm),theory(equality)],[c_4943,c_4651]) ).
tff(c_4544,plain,
! [X5_6,X1_8,X3_7] :
( ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( multiply(inverse(X3_7),sk_c7) != sk_c7 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4512,c_4505,c_4505,c_4505,c_4505,c_4505,c_4505,c_4505,c_4505,c_52]) ).
tff(c_4545,plain,
! [X3_7] :
( ( multiply(inverse(X3_7),sk_c7) != sk_c7 )
| ( multiply(X3_7,inverse(X3_7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_4544]) ).
tff(c_6443,plain,
! [X3_7] : ( inverse(X3_7) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_4964,c_4825,c_4950,c_4825,c_4825,c_4545]) ).
tff(c_4675,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4662,c_4512]) ).
tff(c_4820,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4814,c_4814,c_4675]) ).
tff(c_6445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6443,c_4820]) ).
tff(c_6446,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c7 )
| ( inverse(X5_6) != sk_c7 )
| ( multiply(sk_c7,multiply(X5_6,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_4544]) ).
tff(c_14914,plain,
! [X1_8,X5_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6863,c_6756,c_6756,c_2,c_6756,c_6756,c_6863,c_6756,c_6756,c_6756,c_6446]) ).
tff(c_14916,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_14914]) ).
tff(c_6702,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_6694,c_6573]) ).
tff(c_6755,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6753,c_6753,c_6702]) ).
tff(c_14918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14916,c_6755]) ).
tff(c_14920,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_14914]) ).
tff(c_14922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14920,c_6755]) ).
tff(c_14924,plain,
inverse(sk_c8) != sk_c6,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_14942,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14924,c_10]) ).
tff(c_4374,plain,
multiply(sk_c8,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4370,c_4]) ).
tff(c_14955,plain,
! [X_235,Y_236,Z_237] : ( multiply(multiply(X_235,Y_236),Z_237) = multiply(X_235,multiply(Y_236,Z_237)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14979,plain,
! [Z_237] : ( multiply(sk_c8,multiply(sk_c3,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_4374,c_14955]) ).
tff(c_15000,plain,
! [Z_238] : ( multiply(sk_c8,multiply(sk_c3,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14979]) ).
tff(c_15012,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_14942,c_15000]) ).
tff(c_15016,plain,
sk_c8 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_15012]) ).
tff(c_14923,plain,
multiply(sk_c4,sk_c8) = sk_c5,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_15020,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15016,c_14923]) ).
tff(c_14982,plain,
! [Z_237] : ( multiply(sk_c8,multiply(sk_c4,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_4366,c_14955]) ).
tff(c_14997,plain,
! [Z_237] : ( multiply(sk_c8,multiply(sk_c4,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14982]) ).
tff(c_15093,plain,
! [Z_239] : ( multiply(sk_c6,multiply(sk_c4,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_15016,c_14997]) ).
tff(c_15105,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15020,c_15093]) ).
tff(c_14930,plain,
multiply(sk_c8,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_4362,c_34]) ).
tff(c_15019,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15016,c_14930]) ).
tff(c_15109,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15105,c_15019]) ).
tff(c_15026,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15016,c_8]) ).
tff(c_15118,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15109,c_15026]) ).
tff(c_14985,plain,
! [X_2,Z_237] : ( multiply(inverse(X_2),multiply(X_2,Z_237)) = multiply(identity,Z_237) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14955]) ).
tff(c_15137,plain,
! [X_240,Z_241] : ( multiply(inverse(X_240),multiply(X_240,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14985]) ).
tff(c_15155,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15118,c_15137]) ).
tff(c_15192,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15155]) ).
tff(c_15021,plain,
inverse(sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15016,c_14924]) ).
tff(c_15207,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15192,c_15192,c_15021]) ).
tff(c_15023,plain,
multiply(sk_c6,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15016,c_4366]) ).
tff(c_15202,plain,
multiply(identity,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15192,c_15023]) ).
tff(c_14998,plain,
! [X_2,Z_237] : ( multiply(inverse(X_2),multiply(X_2,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14985]) ).
tff(c_15300,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_15202,c_14998]) ).
tff(c_15312,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15300]) ).
tff(c_15025,plain,
inverse(sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15016,c_4361]) ).
tff(c_15206,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15192,c_15025]) ).
tff(c_15317,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15312,c_15206]) ).
tff(c_15321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15207,c_15317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP306-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.17/0.36 % Computer : n028.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 22:18:54 EDT 2023
% 0.17/0.36 % CPUTime :
% 8.97/3.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.97/3.30
% 8.97/3.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.30/3.36
% 9.30/3.36 Inference rules
% 9.30/3.36 ----------------------
% 9.30/3.36 #Ref : 0
% 9.30/3.36 #Sup : 3879
% 9.30/3.36 #Fact : 0
% 9.30/3.36 #Define : 0
% 9.30/3.36 #Split : 18
% 9.30/3.36 #Chain : 0
% 9.30/3.36 #Close : 0
% 9.30/3.36
% 9.30/3.36 Ordering : KBO
% 9.30/3.36
% 9.30/3.36 Simplification rules
% 9.30/3.36 ----------------------
% 9.30/3.36 #Subsume : 5
% 9.30/3.36 #Demod : 7635
% 9.30/3.36 #Tautology : 3202
% 9.30/3.36 #SimpNegUnit : 37
% 9.30/3.36 #BackRed : 356
% 9.30/3.36
% 9.30/3.36 #Partial instantiations: 0
% 9.30/3.36 #Strategies tried : 1
% 9.30/3.36
% 9.30/3.36 Timing (in seconds)
% 9.30/3.36 ----------------------
% 9.30/3.36 Preprocessing : 0.52
% 9.30/3.36 Parsing : 0.22
% 9.30/3.36 CNF conversion : 0.02
% 9.30/3.36 Main loop : 1.63
% 9.30/3.36 Inferencing : 0.54
% 9.30/3.36 Reduction : 0.70
% 9.30/3.36 Demodulation : 0.58
% 9.30/3.37 BG Simplification : 0.06
% 9.30/3.37 Subsumption : 0.20
% 9.30/3.37 Abstraction : 0.09
% 9.30/3.37 MUC search : 0.00
% 9.30/3.37 Cooper : 0.00
% 9.30/3.37 Total : 2.27
% 9.30/3.37 Index Insertion : 0.00
% 9.30/3.37 Index Deletion : 0.00
% 9.30/3.37 Index Matching : 0.00
% 9.30/3.37 BG Taut test : 0.00
%------------------------------------------------------------------------------