TSTP Solution File: GRP252-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP252-1 : 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 : n016.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 10:40:39 EDT 2023
% Result : Unsatisfiable 45.92s 33.44s
% Output : CNFRefutation 45.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 430 ( 328 unt; 13 typ; 0 def)
% Number of atoms : 659 ( 632 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 514 ( 272 ~; 242 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 258 (; 258 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c10 > 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_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c6) = 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_125,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( multiply(X4,sk_c10) != sk_c9 )
| ( inverse(X4) != sk_c10 )
| ( multiply(X5,sk_c9) != sk_c8 )
| ( inverse(X5) != sk_c9 )
| ( inverse(X6) != sk_c9 )
| ( multiply(X6,sk_c8) != sk_c9 )
| ( multiply(X1,sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c8 )
| ( multiply(sk_c8,X3) != sk_c9 )
| ( multiply(X7,sk_c8) != X3 )
| ( inverse(X7) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c8,sk_c7) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_185716,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_185720,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_185716,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_121,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_20,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_167,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_125,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_121,c_4]) ).
tff(c_196,plain,
! [X_15,Y_16,Z_17] : ( multiply(multiply(X_15,Y_16),Z_17) = multiply(X_15,multiply(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_223,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_196]) ).
tff(c_317,plain,
! [Z_21] : ( multiply(sk_c10,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_223]) ).
tff(c_329,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_167,c_317]) ).
tff(c_229,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_196]) ).
tff(c_576,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).
tff(c_600,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_329,c_576]) ).
tff(c_650,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_600]) ).
tff(c_668,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_650,c_167]) ).
tff(c_240,plain,
! [X_2,Z_17] : ( multiply(inverse(X_2),multiply(X_2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).
tff(c_1937,plain,
! [X_48,Z_49] : ( multiply(inverse(inverse(X_48)),Z_49) = multiply(X_48,Z_49) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_576]) ).
tff(c_642,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_576]) ).
tff(c_1947,plain,
! [X_48] : ( multiply(X_48,identity) = X_48 ),
inference(superposition,[status(thm),theory(equality)],[c_1937,c_642]) ).
tff(c_1054,plain,
! [X_34,Z_35] : ( multiply(inverse(inverse(X_34)),Z_35) = multiply(X_34,Z_35) ),
inference(superposition,[status(thm),theory(equality)],[c_576,c_240]) ).
tff(c_1068,plain,
! [X_34] : ( multiply(X_34,identity) = X_34 ),
inference(superposition,[status(thm),theory(equality)],[c_1054,c_642]) ).
tff(c_48,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_154,plain,
multiply(sk_c2,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_56,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_109,plain,
inverse(sk_c2) = sk_c9,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_113,plain,
multiply(sk_c9,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_226,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c2,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_196]) ).
tff(c_340,plain,
! [Z_22] : ( multiply(sk_c9,multiply(sk_c2,Z_22)) = Z_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_226]) ).
tff(c_352,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154,c_340]) ).
tff(c_594,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_352,c_576]) ).
tff(c_649,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_594]) ).
tff(c_364,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_229]) ).
tff(c_388,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_329,c_364]) ).
tff(c_438,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_388]) ).
tff(c_460,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_438,c_109]) ).
tff(c_382,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_352,c_364]) ).
tff(c_437,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_382]) ).
tff(c_448,plain,
multiply(sk_c2,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_437,c_154]) ).
tff(c_521,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_438,c_448]) ).
tff(c_92,plain,
! [X5_6,X4_12,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_289,plain,
! [X4_20] :
( ( inverse(X4_20) != sk_c10 )
| ( multiply(X4_20,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_296,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_167,c_289]) ).
tff(c_308,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_296]) ).
tff(c_309,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_363,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_309]) ).
tff(c_551,plain,
! [X7_26] :
( ( inverse(X7_26) != identity )
| ( multiply(X7_26,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_438,c_437,c_2,c_437,c_437,c_363]) ).
tff(c_554,plain,
inverse(sk_c2) != identity,
inference(superposition,[status(thm),theory(equality)],[c_521,c_551]) ).
tff(c_574,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_460,c_554]) ).
tff(c_575,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_309]) ).
tff(c_762,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_650,c_649,c_650,c_650,c_650,c_649,c_650,c_650,c_649,c_649,c_575]) ).
tff(c_763,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_762]) ).
tff(c_1739,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1068,c_763]) ).
tff(c_671,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_650,c_113]) ).
tff(c_779,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_671,c_240]) ).
tff(c_791,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_779]) ).
tff(c_672,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_650,c_109]) ).
tff(c_796,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_791,c_672]) ).
tff(c_1741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1739,c_796]) ).
tff(c_1742,plain,
! [X6_7,X1_10,X2_11] :
( ( multiply(X6_7,identity) != identity )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_762]) ).
tff(c_122640,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1947,c_1947,c_1742]) ).
tff(c_122642,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_122640]) ).
tff(c_645,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_576]) ).
tff(c_1758,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_671,c_240]) ).
tff(c_1770,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_645,c_1758]) ).
tff(c_1808,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1770,c_672]) ).
tff(c_122644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122642,c_1808]) ).
tff(c_122645,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_122640]) ).
tff(c_122647,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_122645]) ).
tff(c_122649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122647,c_1808]) ).
tff(c_124841,plain,
! [X1_425] :
( ( inverse(X1_425) != sk_c10 )
| ( multiply(X1_425,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_122645]) ).
tff(c_124927,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_668,c_124841]) ).
tff(c_124961,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121,c_124927]) ).
tff(c_124963,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_125027,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_124963,c_18]) ).
tff(c_124962,plain,
inverse(sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_124967,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_124962,c_4]) ).
tff(c_125037,plain,
! [X_426,Y_427,Z_428] : ( multiply(multiply(X_426,Y_427),Z_428) = multiply(X_426,multiply(Y_427,Z_428)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_125070,plain,
! [Z_428] : ( multiply(sk_c8,multiply(sk_c6,Z_428)) = multiply(identity,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_124967,c_125037]) ).
tff(c_125216,plain,
! [Z_434] : ( multiply(sk_c8,multiply(sk_c6,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125070]) ).
tff(c_125228,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125027,c_125216]) ).
tff(c_16,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_125010,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_124963,c_16]) ).
tff(c_125232,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_125228,c_125010]) ).
tff(c_125085,plain,
! [Z_428] : ( multiply(sk_c9,multiply(sk_c2,Z_428)) = multiply(identity,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_125037]) ).
tff(c_125140,plain,
! [Z_431] : ( multiply(sk_c9,multiply(sk_c2,Z_431)) = Z_431 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125085]) ).
tff(c_125152,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_154,c_125140]) ).
tff(c_125240,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_125232,c_125232,c_125152]) ).
tff(c_125088,plain,
! [X_2,Z_428] : ( multiply(inverse(X_2),multiply(X_2,Z_428)) = multiply(identity,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_125037]) ).
tff(c_125317,plain,
! [X_435,Z_436] : ( multiply(inverse(X_435),multiply(X_435,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125088]) ).
tff(c_125347,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125240,c_125317]) ).
tff(c_125409,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_125347]) ).
tff(c_125246,plain,
multiply(sk_c1,sk_c10) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_125232,c_124963]) ).
tff(c_125415,plain,
multiply(sk_c1,sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_125409,c_125246]) ).
tff(c_125423,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125409,c_125232]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_125022,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_124963,c_8]) ).
tff(c_125055,plain,
! [Z_428] : ( multiply(sk_c4,multiply(sk_c10,Z_428)) = multiply(sk_c9,Z_428) ),
inference(superposition,[status(thm),theory(equality)],[c_125022,c_125037]) ).
tff(c_125668,plain,
! [Z_439] : ( multiply(sk_c4,multiply(sk_c10,Z_439)) = Z_439 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125423,c_125055]) ).
tff(c_125692,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_125,c_125668]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_124977,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_124963,c_10]) ).
tff(c_124981,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_124977,c_4]) ).
tff(c_125689,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_124981,c_125668]) ).
tff(c_125710,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_125692,c_125689]) ).
tff(c_125244,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_125232,c_125022]) ).
tff(c_125417,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125409,c_125244]) ).
tff(c_125725,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125710,c_125417]) ).
tff(c_125729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125415,c_125725]) ).
tff(c_125731,plain,
multiply(sk_c2,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_46,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_126571,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_125731,c_46]) ).
tff(c_125730,plain,
inverse(sk_c6) = sk_c8,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_125736,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125730,c_4]) ).
tff(c_126602,plain,
! [X_456,Y_457,Z_458] : ( multiply(multiply(X_456,Y_457),Z_458) = multiply(X_456,multiply(Y_457,Z_458)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_126635,plain,
! [Z_458] : ( multiply(sk_c8,multiply(sk_c6,Z_458)) = multiply(identity,Z_458) ),
inference(superposition,[status(thm),theory(equality)],[c_125736,c_126602]) ).
tff(c_126802,plain,
! [Z_467] : ( multiply(sk_c8,multiply(sk_c6,Z_467)) = Z_467 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126635]) ).
tff(c_126814,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_126571,c_126802]) ).
tff(c_44,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_126586,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_125731,c_44]) ).
tff(c_126913,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126814,c_126586]) ).
tff(c_125791,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_125731,c_46]) ).
tff(c_125818,plain,
! [X_440,Y_441,Z_442] : ( multiply(multiply(X_440,Y_441),Z_442) = multiply(X_440,multiply(Y_441,Z_442)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_125854,plain,
! [Z_442] : ( multiply(sk_c8,multiply(sk_c6,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_125736,c_125818]) ).
tff(c_126072,plain,
! [Z_452] : ( multiply(sk_c8,multiply(sk_c6,Z_452)) = Z_452 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125854]) ).
tff(c_126087,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_125791,c_126072]) ).
tff(c_125798,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_125731,c_44]) ).
tff(c_126091,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126087,c_125798]) ).
tff(c_12,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_125786,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_125863,plain,
! [Z_442] : ( multiply(sk_c10,multiply(sk_c1,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_125818]) ).
tff(c_125908,plain,
! [Z_444] : ( multiply(sk_c10,multiply(sk_c1,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125863]) ).
tff(c_125920,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_125786,c_125908]) ).
tff(c_126105,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_126091,c_125920]) ).
tff(c_125869,plain,
! [X_2,Z_442] : ( multiply(inverse(X_2),multiply(X_2,Z_442)) = multiply(identity,Z_442) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_125818]) ).
tff(c_126196,plain,
! [X_453,Z_454] : ( multiply(inverse(X_453),multiply(X_453,Z_454)) = Z_454 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125869]) ).
tff(c_126220,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_126105,c_126196]) ).
tff(c_126292,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_126220]) ).
tff(c_126116,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126091,c_109]) ).
tff(c_126315,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_126292,c_126116]) ).
tff(c_126361,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_126315,c_4]) ).
tff(c_125883,plain,
! [X_2,Z_442] : ( multiply(inverse(X_2),multiply(X_2,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_125869]) ).
tff(c_126447,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_126361,c_125883]) ).
tff(c_126459,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_126447]) ).
tff(c_126111,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126091,c_125731]) ).
tff(c_126310,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_126292,c_126292,c_126111]) ).
tff(c_126568,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126459,c_126310]) ).
tff(c_126570,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_126580,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_126570,c_8]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_125754,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_125731,c_38]) ).
tff(c_125758,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_125754,c_4]) ).
tff(c_126632,plain,
! [Z_458] : ( multiply(sk_c10,multiply(sk_c4,Z_458)) = multiply(identity,Z_458) ),
inference(superposition,[status(thm),theory(equality)],[c_125758,c_126602]) ).
tff(c_126779,plain,
! [Z_466] : ( multiply(sk_c10,multiply(sk_c4,Z_466)) = Z_466 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126632]) ).
tff(c_126791,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_126580,c_126779]) ).
tff(c_126921,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_126913,c_126791]) ).
tff(c_126650,plain,
! [X_2,Z_458] : ( multiply(inverse(X_2),multiply(X_2,Z_458)) = multiply(identity,Z_458) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_126602]) ).
tff(c_127041,plain,
! [X_471,Z_472] : ( multiply(inverse(X_471),multiply(X_471,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126650]) ).
tff(c_127077,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_126921,c_127041]) ).
tff(c_127144,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_127077]) ).
tff(c_126933,plain,
inverse(sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126913,c_109]) ).
tff(c_127165,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127144,c_126933]) ).
tff(c_127250,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127165,c_4]) ).
tff(c_126664,plain,
! [X_2,Z_458] : ( multiply(inverse(X_2),multiply(X_2,Z_458)) = Z_458 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_126650]) ).
tff(c_127298,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_127250,c_126664]) ).
tff(c_127310,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_127298]) ).
tff(c_126928,plain,
multiply(sk_c2,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_126913,c_125731]) ).
tff(c_127160,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_127144,c_127144,c_126928]) ).
tff(c_127314,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_127310,c_127160]) ).
tff(c_127319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127314]) ).
tff(c_127321,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_127333,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_127321,c_24]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_127362,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_127321,c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_127347,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_127321,c_34]) ).
tff(c_127351,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127347,c_4]) ).
tff(c_127422,plain,
! [X_475,Y_476,Z_477] : ( multiply(multiply(X_475,Y_476),Z_477) = multiply(X_475,multiply(Y_476,Z_477)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_127452,plain,
! [Z_477] : ( multiply(sk_c8,multiply(sk_c6,Z_477)) = multiply(identity,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_127351,c_127422]) ).
tff(c_127618,plain,
! [Z_486] : ( multiply(sk_c8,multiply(sk_c6,Z_486)) = Z_486 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127452]) ).
tff(c_127630,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127362,c_127618]) ).
tff(c_30,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_127373,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_127321,c_30]) ).
tff(c_127634,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_127630,c_127373]) ).
tff(c_26,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_127395,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_127321,c_26]) ).
tff(c_127320,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_127325,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_127320,c_4]) ).
tff(c_127458,plain,
! [Z_477] : ( multiply(sk_c8,multiply(sk_c5,Z_477)) = multiply(identity,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_127325,c_127422]) ).
tff(c_127579,plain,
! [Z_484] : ( multiply(sk_c8,multiply(sk_c5,Z_484)) = Z_484 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127458]) ).
tff(c_127591,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127395,c_127579]) ).
tff(c_127643,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_127634,c_127591]) ).
tff(c_127464,plain,
! [X_2,Z_477] : ( multiply(inverse(X_2),multiply(X_2,Z_477)) = multiply(identity,Z_477) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_127422]) ).
tff(c_131051,plain,
! [X_529,Z_530] : ( multiply(inverse(X_529),multiply(X_529,Z_530)) = Z_530 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127464]) ).
tff(c_131075,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127643,c_131051]) ).
tff(c_131133,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131075]) ).
tff(c_22,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_127404,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_127321,c_22]) ).
tff(c_127645,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_127634,c_127404]) ).
tff(c_131145,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131133,c_127645]) ).
tff(c_127477,plain,
! [X_2,Z_477] : ( multiply(inverse(X_2),multiply(X_2,Z_477)) = Z_477 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127464]) ).
tff(c_131519,plain,
! [X_535,Z_536] : ( multiply(inverse(inverse(X_535)),Z_536) = multiply(X_535,Z_536) ),
inference(superposition,[status(thm),theory(equality)],[c_131051,c_127477]) ).
tff(c_131126,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_131051]) ).
tff(c_131526,plain,
! [X_535] : ( multiply(X_535,identity) = X_535 ),
inference(superposition,[status(thm),theory(equality)],[c_131519,c_131126]) ).
tff(c_127728,plain,
! [X_488,Z_489] : ( multiply(inverse(X_488),multiply(X_488,Z_489)) = Z_489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_127464]) ).
tff(c_128196,plain,
! [X_494,Z_495] : ( multiply(inverse(inverse(X_494)),Z_495) = multiply(X_494,Z_495) ),
inference(superposition,[status(thm),theory(equality)],[c_127728,c_127477]) ).
tff(c_127803,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_127728]) ).
tff(c_128203,plain,
! [X_494] : ( multiply(X_494,identity) = X_494 ),
inference(superposition,[status(thm),theory(equality)],[c_128196,c_127803]) ).
tff(c_127752,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_127643,c_127728]) ).
tff(c_127810,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_127752]) ).
tff(c_127545,plain,
! [X4_482] :
( ( inverse(X4_482) != sk_c10 )
| ( multiply(X4_482,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_127552,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_127404,c_127545]) ).
tff(c_127564,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127333,c_127552]) ).
tff(c_127565,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_127669,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127634,c_127634,c_127634,c_127634,c_127634,c_127634,c_127634,c_127565]) ).
tff(c_127670,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_127669]) ).
tff(c_130990,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_128203,c_127810,c_127810,c_2,c_127810,c_127810,c_127670]) ).
tff(c_127831,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127810,c_127351]) ).
tff(c_127959,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_127831,c_127477]) ).
tff(c_127971,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_127959]) ).
tff(c_127832,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127810,c_127347]) ).
tff(c_127976,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_127971,c_127832]) ).
tff(c_130992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130990,c_127976]) ).
tff(c_130993,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_127669]) ).
tff(c_139682,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131526,c_131133,c_131133,c_131133,c_131133,c_131526,c_131133,c_131133,c_131133,c_131526,c_131133,c_131133,c_131133,c_130993]) ).
tff(c_139684,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_139682]) ).
tff(c_131154,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131133,c_127351]) ).
tff(c_131282,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_131154,c_127477]) ).
tff(c_131294,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131282]) ).
tff(c_131155,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131133,c_127347]) ).
tff(c_131299,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131294,c_131155]) ).
tff(c_139686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139684,c_131299]) ).
tff(c_139687,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_139682]) ).
tff(c_184307,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_139687]) ).
tff(c_184309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184307,c_131299]) ).
tff(c_184310,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_139687]) ).
tff(c_184312,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_184310]) ).
tff(c_184314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184312,c_131299]) ).
tff(c_185571,plain,
! [X1_769] :
( ( inverse(X1_769) != sk_c10 )
| ( multiply(X1_769,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_184310]) ).
tff(c_185646,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_131145,c_185571]) ).
tff(c_185677,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127333,c_185646]) ).
tff(c_185679,plain,
inverse(sk_c2) != sk_c9,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_60,plain,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_185748,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_185679,c_60]) ).
tff(c_62,plain,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_185703,plain,
inverse(sk_c6) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_185679,c_62]) ).
tff(c_185707,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_185703,c_4]) ).
tff(c_185792,plain,
! [X_770,Y_771,Z_772] : ( multiply(multiply(X_770,Y_771),Z_772) = multiply(X_770,multiply(Y_771,Z_772)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_185825,plain,
! [Z_772] : ( multiply(sk_c8,multiply(sk_c6,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_185707,c_185792]) ).
tff(c_185872,plain,
! [Z_774] : ( multiply(sk_c8,multiply(sk_c6,Z_774)) = Z_774 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185825]) ).
tff(c_185884,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_185748,c_185872]) ).
tff(c_58,plain,
( ( multiply(sk_c8,sk_c7) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_185765,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_185679,c_58]) ).
tff(c_185945,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_185884,c_185765]) ).
tff(c_50,plain,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_185754,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_185679,c_50]) ).
tff(c_52,plain,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_185729,plain,
inverse(sk_c4) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_185679,c_52]) ).
tff(c_185733,plain,
multiply(sk_c10,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_185729,c_4]) ).
tff(c_185819,plain,
! [Z_772] : ( multiply(sk_c10,multiply(sk_c4,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_185733,c_185792]) ).
tff(c_185849,plain,
! [Z_773] : ( multiply(sk_c10,multiply(sk_c4,Z_773)) = Z_773 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185819]) ).
tff(c_185861,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_185754,c_185849]) ).
tff(c_185953,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_185945,c_185861]) ).
tff(c_185834,plain,
! [X_2,Z_772] : ( multiply(inverse(X_2),multiply(X_2,Z_772)) = multiply(identity,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_185792]) ).
tff(c_188470,plain,
! [X_810,Z_811] : ( multiply(inverse(X_810),multiply(X_810,Z_811)) = Z_811 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185834]) ).
tff(c_188494,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_185953,c_188470]) ).
tff(c_188556,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_188494]) ).
tff(c_188572,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188556,c_185945]) ).
tff(c_185813,plain,
! [Z_772] : ( multiply(sk_c4,multiply(sk_c10,Z_772)) = multiply(sk_c9,Z_772) ),
inference(superposition,[status(thm),theory(equality)],[c_185754,c_185792]) ).
tff(c_188661,plain,
! [Z_813] : ( multiply(sk_c4,multiply(sk_c10,Z_813)) = Z_813 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_188572,c_185813]) ).
tff(c_188685,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_185720,c_188661]) ).
tff(c_188682,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_185733,c_188661]) ).
tff(c_188859,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_188685,c_188682]) ).
tff(c_185955,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_185945,c_185754]) ).
tff(c_188569,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188556,c_185955]) ).
tff(c_188877,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188859,c_188569]) ).
tff(c_185847,plain,
! [X_2,Z_772] : ( multiply(inverse(X_2),multiply(X_2,Z_772)) = Z_772 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185834]) ).
tff(c_188987,plain,
! [X_816,Z_817] : ( multiply(inverse(inverse(X_816)),Z_817) = multiply(X_816,Z_817) ),
inference(superposition,[status(thm),theory(equality)],[c_185847,c_188470]) ).
tff(c_188548,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_188470]) ).
tff(c_188994,plain,
! [X_816] : ( multiply(X_816,identity) = X_816 ),
inference(superposition,[status(thm),theory(equality)],[c_188987,c_188548]) ).
tff(c_186029,plain,
! [X_777,Z_778] : ( multiply(inverse(X_777),multiply(X_777,Z_778)) = Z_778 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_185834]) ).
tff(c_186546,plain,
! [X_783,Z_784] : ( multiply(inverse(inverse(X_783)),Z_784) = multiply(X_783,Z_784) ),
inference(superposition,[status(thm),theory(equality)],[c_185847,c_186029]) ).
tff(c_186107,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_186029]) ).
tff(c_186553,plain,
! [X_783] : ( multiply(X_783,identity) = X_783 ),
inference(superposition,[status(thm),theory(equality)],[c_186546,c_186107]) ).
tff(c_186053,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_185953,c_186029]) ).
tff(c_186115,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_186053]) ).
tff(c_185889,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_185884,c_185765]) ).
tff(c_185899,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_185889,c_185754]) ).
tff(c_185888,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_185907,plain,
! [X4_12] :
( ( inverse(X4_12) != sk_c10 )
| ( multiply(X4_12,sk_c10) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185889,c_185888]) ).
tff(c_185931,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_185899,c_185907]) ).
tff(c_185943,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_185729,c_185931]) ).
tff(c_185944,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_185963,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185945,c_185945,c_185945,c_185945,c_185945,c_185945,c_185945,c_185944]) ).
tff(c_185964,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_185963]) ).
tff(c_188402,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_186553,c_186115,c_186115,c_2,c_186115,c_186115,c_185964]) ).
tff(c_186136,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_186115,c_185703]) ).
tff(c_186205,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_186136,c_4]) ).
tff(c_186282,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_186205,c_185847]) ).
tff(c_186294,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_186282]) ).
tff(c_186298,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_186294,c_186136]) ).
tff(c_188404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188402,c_186298]) ).
tff(c_188405,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_185963]) ).
tff(c_195521,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188994,c_188556,c_188556,c_188556,c_188556,c_188994,c_188556,c_188556,c_188556,c_188994,c_188556,c_188556,c_188556,c_188405]) ).
tff(c_195523,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_195521]) ).
tff(c_188577,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188556,c_185703]) ).
tff(c_188646,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_188577,c_4]) ).
tff(c_188723,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_188646,c_185847]) ).
tff(c_188735,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_188723]) ).
tff(c_188739,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_188735,c_188577]) ).
tff(c_195525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195523,c_188739]) ).
tff(c_195526,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_195521]) ).
tff(c_238212,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_195526]) ).
tff(c_238214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_238212,c_188739]) ).
tff(c_238215,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_195526]) ).
tff(c_238217,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_238215]) ).
tff(c_238219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_238217,c_188739]) ).
tff(c_239464,plain,
! [X1_1040] :
( ( inverse(X1_1040) != sk_c10 )
| ( multiply(X1_1040,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_238215]) ).
tff(c_239536,plain,
inverse(sk_c1) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_188877,c_239464]) ).
tff(c_239567,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_185716,c_239536]) ).
tff(c_239568,plain,
inverse(sk_c4) = sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_239569,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_239587,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_239569,c_32]) ).
tff(c_239640,plain,
! [X_1041,Y_1042,Z_1043] : ( multiply(multiply(X_1041,Y_1042),Z_1043) = multiply(X_1041,multiply(Y_1042,Z_1043)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_239670,plain,
! [Z_1043] : ( multiply(sk_c8,multiply(sk_c6,Z_1043)) = multiply(identity,Z_1043) ),
inference(superposition,[status(thm),theory(equality)],[c_185707,c_239640]) ).
tff(c_239792,plain,
! [Z_1048] : ( multiply(sk_c8,multiply(sk_c6,Z_1048)) = Z_1048 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239670]) ).
tff(c_239804,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_239587,c_239792]) ).
tff(c_239608,plain,
multiply(sk_c8,sk_c7) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_239569,c_30]) ).
tff(c_239808,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_239804,c_239608]) ).
tff(c_54,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c2) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_239592,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_185679,c_54]) ).
tff(c_185678,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_185683,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_185678,c_4]) ).
tff(c_239676,plain,
! [Z_1043] : ( multiply(sk_c8,multiply(sk_c5,Z_1043)) = multiply(identity,Z_1043) ),
inference(superposition,[status(thm),theory(equality)],[c_185683,c_239640]) ).
tff(c_239716,plain,
! [Z_1045] : ( multiply(sk_c8,multiply(sk_c5,Z_1045)) = Z_1045 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239676]) ).
tff(c_239728,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_239592,c_239716]) ).
tff(c_239816,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_239808,c_239728]) ).
tff(c_239679,plain,
! [X_2,Z_1043] : ( multiply(inverse(X_2),multiply(X_2,Z_1043)) = multiply(identity,Z_1043) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_239640]) ).
tff(c_242674,plain,
! [X_1083,Z_1084] : ( multiply(inverse(X_1083),multiply(X_1083,Z_1084)) = Z_1084 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239679]) ).
tff(c_242692,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_239816,c_242674]) ).
tff(c_242753,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_242692]) ).
tff(c_239598,plain,
multiply(sk_c4,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_185679,c_50]) ).
tff(c_239818,plain,
multiply(sk_c4,sk_c10) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_239808,c_239598]) ).
tff(c_242765,plain,
multiply(sk_c4,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_242753,c_239818]) ).
tff(c_239691,plain,
! [X_2,Z_1043] : ( multiply(inverse(X_2),multiply(X_2,Z_1043)) = Z_1043 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239679]) ).
tff(c_243111,plain,
! [X_1088,Z_1089] : ( multiply(inverse(inverse(X_1088)),Z_1089) = multiply(X_1088,Z_1089) ),
inference(superposition,[status(thm),theory(equality)],[c_242674,c_239691]) ).
tff(c_242746,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_242674]) ).
tff(c_243121,plain,
! [X_1088] : ( multiply(X_1088,identity) = X_1088 ),
inference(superposition,[status(thm),theory(equality)],[c_243111,c_242746]) ).
tff(c_239881,plain,
! [X_1049,Z_1050] : ( multiply(inverse(X_1049),multiply(X_1049,Z_1050)) = Z_1050 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_239679]) ).
tff(c_240318,plain,
! [X_1054,Z_1055] : ( multiply(inverse(inverse(X_1054)),Z_1055) = multiply(X_1054,Z_1055) ),
inference(superposition,[status(thm),theory(equality)],[c_239881,c_239691]) ).
tff(c_239953,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_239881]) ).
tff(c_240328,plain,
! [X_1054] : ( multiply(X_1054,identity) = X_1054 ),
inference(superposition,[status(thm),theory(equality)],[c_240318,c_239953]) ).
tff(c_239899,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_239816,c_239881]) ).
tff(c_239960,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_239899]) ).
tff(c_239764,plain,
! [X4_1047] :
( ( inverse(X4_1047) != sk_c10 )
| ( multiply(X4_1047,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_239771,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_239598,c_239764]) ).
tff(c_239783,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_239568,c_239771]) ).
tff(c_239784,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(X5_6,sk_c9) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c9 )
| ( inverse(X6_7) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c9 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_239827,plain,
! [X5_6,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_239808,c_239808,c_239808,c_239808,c_239808,c_239808,c_239808,c_239784]) ).
tff(c_239828,plain,
! [X7_9] :
( ( inverse(X7_9) != sk_c8 )
| ( multiply(sk_c8,multiply(X7_9,sk_c8)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_239827]) ).
tff(c_242618,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_240328,c_239960,c_239960,c_2,c_239960,c_239960,c_239828]) ).
tff(c_239981,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_239960,c_185707]) ).
tff(c_240069,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_239981,c_239691]) ).
tff(c_240081,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_240069]) ).
tff(c_239982,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_239960,c_185703]) ).
tff(c_240085,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_240081,c_239982]) ).
tff(c_242620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242618,c_240085]) ).
tff(c_242621,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != sk_c8 )
| ( multiply(X2_11,sk_c8) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c8 )
| ( multiply(X6_7,sk_c8) != sk_c8 )
| ( inverse(X6_7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(X5_6,sk_c8) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_239827]) ).
tff(c_250123,plain,
! [X2_11,X1_10,X6_7,X5_6] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_243121,c_242753,c_242753,c_242753,c_242753,c_243121,c_242753,c_242753,c_242753,c_243121,c_242753,c_242753,c_242753,c_242621]) ).
tff(c_250125,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_250123]) ).
tff(c_242774,plain,
multiply(identity,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_242753,c_185707]) ).
tff(c_242862,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_242774,c_239691]) ).
tff(c_242874,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_242862]) ).
tff(c_242775,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_242753,c_185703]) ).
tff(c_242878,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_242874,c_242775]) ).
tff(c_250127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250125,c_242878]) ).
tff(c_250128,plain,
! [X6_7,X1_10,X2_11] :
( ( identity != X6_7 )
| ( inverse(X6_7) != identity )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_250123]) ).
tff(c_293649,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_250128]) ).
tff(c_293651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293649,c_242878]) ).
tff(c_293652,plain,
! [X1_10,X6_7] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( identity != X6_7 )
| ( inverse(X6_7) != identity ) ),
inference(splitRight,[status(thm)],[c_250128]) ).
tff(c_293654,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_293652]) ).
tff(c_293656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293654,c_242878]) ).
tff(c_294905,plain,
! [X1_1315] :
( ( inverse(X1_1315) != sk_c10 )
| ( multiply(X1_1315,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_293652]) ).
tff(c_294980,plain,
inverse(sk_c4) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_242765,c_294905]) ).
tff(c_295012,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_239568,c_294980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP252-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:40:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 45.92/33.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.92/33.53
% 45.92/33.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 45.92/33.60
% 45.92/33.60 Inference rules
% 45.92/33.60 ----------------------
% 45.92/33.60 #Ref : 0
% 45.92/33.60 #Sup : 69602
% 45.92/33.60 #Fact : 0
% 45.92/33.60 #Define : 0
% 45.92/33.60 #Split : 38
% 45.92/33.60 #Chain : 0
% 45.92/33.60 #Close : 0
% 45.92/33.60
% 45.92/33.60 Ordering : KBO
% 45.92/33.60
% 45.92/33.60 Simplification rules
% 45.92/33.60 ----------------------
% 45.92/33.60 #Subsume : 4
% 45.92/33.60 #Demod : 261071
% 45.92/33.60 #Tautology : 57575
% 45.92/33.60 #SimpNegUnit : 57
% 45.92/33.60 #BackRed : 492
% 45.92/33.60
% 45.92/33.60 #Partial instantiations: 0
% 45.92/33.60 #Strategies tried : 1
% 45.92/33.60
% 45.92/33.60 Timing (in seconds)
% 45.92/33.60 ----------------------
% 45.92/33.60 Preprocessing : 0.58
% 45.92/33.60 Parsing : 0.22
% 45.92/33.60 CNF conversion : 0.03
% 45.92/33.60 Main loop : 31.85
% 45.92/33.60 Inferencing : 4.26
% 45.92/33.60 Reduction : 23.52
% 45.92/33.60 Demodulation : 22.61
% 45.92/33.60 BG Simplification : 0.31
% 45.92/33.60 Subsumption : 2.69
% 45.92/33.60 Abstraction : 1.01
% 45.92/33.60 MUC search : 0.00
% 45.92/33.60 Cooper : 0.00
% 45.92/33.60 Total : 32.60
% 45.92/33.60 Index Insertion : 0.00
% 45.92/33.60 Index Deletion : 0.00
% 45.92/33.60 Index Matching : 0.00
% 45.92/33.60 BG Taut test : 0.00
%------------------------------------------------------------------------------