TSTP Solution File: GRP222-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP222-1 : 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 : n017.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 10:40:32 EDT 2023
% Result : Unsatisfiable 14.49s 5.69s
% Output : CNFRefutation 14.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 33
% Syntax : Number of formulae : 431 ( 351 unt; 10 typ; 0 def)
% Number of atoms : 538 ( 517 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 260 ( 143 ~; 117 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 225 (; 225 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_71,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
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_107,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
! [X5,X3,X1,X2,X4] :
( ( inverse(X3) != sk_c7 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( multiply(X4,X5) != sk_c6 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c7) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X2) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_12,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_77,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_81,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_77,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_36,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_65,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_69,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_27052,plain,
! [X_209,Y_210,Z_211] : ( multiply(multiply(X_209,Y_210),Z_211) = multiply(X_209,multiply(Y_210,Z_211)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27091,plain,
! [X_2,Z_211] : ( multiply(inverse(X_2),multiply(X_2,Z_211)) = multiply(identity,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27052]) ).
tff(c_27252,plain,
! [X_220,Z_221] : ( multiply(inverse(X_220),multiply(X_220,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27091]) ).
tff(c_27321,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_27252]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_104,plain,
multiply(sk_c2,sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_119,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_146,plain,
! [Z_15] : ( multiply(sk_c3,multiply(sk_c2,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_119]) ).
tff(c_184,plain,
! [Z_17] : ( multiply(sk_c3,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146]) ).
tff(c_196,plain,
multiply(sk_c3,sk_c6) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_104,c_184]) ).
tff(c_149,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_119]) ).
tff(c_207,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_149]) ).
tff(c_225,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_196,c_207]) ).
tff(c_268,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_225]) ).
tff(c_415,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_196]) ).
tff(c_255,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_207]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_96,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_243,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_96,c_207]) ).
tff(c_1457,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_255,c_268,c_243]) ).
tff(c_1462,plain,
multiply(sk_c2,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1457,c_81]) ).
tff(c_159,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_149]) ).
tff(c_1515,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1462,c_159]) ).
tff(c_1524,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_415,c_65,c_1515]) ).
tff(c_1530,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1524,c_1524,c_415]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_91,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_419,plain,
multiply(sk_c1,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_91]) ).
tff(c_1459,plain,
multiply(sk_c1,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1457,c_419]) ).
tff(c_1628,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1530,c_1459]) ).
tff(c_1463,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1457,c_77]) ).
tff(c_1647,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1628,c_1463]) ).
tff(c_1533,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1524,c_65]) ).
tff(c_1547,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1533,c_4]) ).
tff(c_1654,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1628,c_1547]) ).
tff(c_1713,plain,
! [X_42,Z_43] : ( multiply(inverse(inverse(X_42)),Z_43) = multiply(X_42,Z_43) ),
inference(superposition,[status(thm),theory(equality)],[c_207,c_159]) ).
tff(c_261,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_207]) ).
tff(c_1757,plain,
! [X_44] : ( multiply(X_44,identity) = X_44 ),
inference(superposition,[status(thm),theory(equality)],[c_1713,c_261]) ).
tff(c_264,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_207]) ).
tff(c_1771,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1757,c_264]) ).
tff(c_1751,plain,
! [X_42] : ( multiply(X_42,inverse(X_42)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1713]) ).
tff(c_143,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = multiply(identity,Z_15) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_119]) ).
tff(c_157,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_143]) ).
tff(c_1461,plain,
! [Z_15] : ( multiply(sk_c2,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_1457,c_157]) ).
tff(c_1941,plain,
! [Z_15] : ( multiply(sk_c1,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_1628,c_1461]) ).
tff(c_1720,plain,
! [X_42] : ( multiply(X_42,identity) = X_42 ),
inference(superposition,[status(thm),theory(equality)],[c_1713,c_261]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1981,plain,
! [X_48,Y_49,Z_50] : ( multiply(inverse(multiply(X_48,Y_49)),multiply(X_48,multiply(Y_49,Z_50))) = Z_50 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_207]) ).
tff(c_2026,plain,
! [X_48,X_42] : ( multiply(inverse(multiply(X_48,X_42)),multiply(X_48,identity)) = inverse(X_42) ),
inference(superposition,[status(thm),theory(equality)],[c_1751,c_1981]) ).
tff(c_2933,plain,
! [X_64,X_65] : ( multiply(inverse(multiply(X_64,X_65)),X_64) = inverse(X_65) ),
inference(demodulation,[status(thm),theory(equality)],[c_1720,c_2026]) ).
tff(c_3034,plain,
! [Z_15] : ( multiply(inverse(Z_15),sk_c1) = inverse(multiply(sk_c1,Z_15)) ),
inference(superposition,[status(thm),theory(equality)],[c_1941,c_2933]) ).
tff(c_1648,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1628,c_1457]) ).
tff(c_540,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_255,c_268,c_243]) ).
tff(c_542,plain,
multiply(sk_c1,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_540,c_419]) ).
tff(c_546,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_540,c_77]) ).
tff(c_558,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_546,c_4]) ).
tff(c_565,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_558,c_159]) ).
tff(c_574,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_415,c_65,c_565]) ).
tff(c_158,plain,
! [Z_15] : ( multiply(sk_c3,multiply(sk_c2,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_146]) ).
tff(c_568,plain,
multiply(sk_c3,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_558,c_158]) ).
tff(c_665,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_542,c_574,c_568]) ).
tff(c_673,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_665,c_540]) ).
tff(c_853,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_207,c_159]) ).
tff(c_860,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_853,c_261]) ).
tff(c_278,plain,
multiply(sk_c1,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_91]) ).
tff(c_48,plain,
! [X2_9,X1_8,X4_10,X3_7] :
( ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 )
| ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_273,plain,
! [X3_7] :
( ( multiply(X3_7,sk_c6) != sk_c7 )
| ( inverse(X3_7) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_387,plain,
! [X3_21] :
( ( multiply(X3_21,identity) != sk_c7 )
| ( inverse(X3_21) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_268,c_273]) ).
tff(c_390,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_278,c_387]) ).
tff(c_413,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77,c_390]) ).
tff(c_414,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_527,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( multiply(X2_9,identity) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_268,c_268,c_268,c_268,c_414]) ).
tff(c_528,plain,
! [X2_9] :
( ( multiply(X2_9,identity) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_527]) ).
tff(c_1442,plain,
inverse(sk_c1) != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_673,c_860,c_673,c_528]) ).
tff(c_582,plain,
inverse(sk_c2) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_574,c_65]) ).
tff(c_670,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_665,c_582]) ).
tff(c_1444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1442,c_670]) ).
tff(c_1445,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( multiply(inverse(X4_10),sk_c7) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity ) ),
inference(splitRight,[status(thm)],[c_527]) ).
tff(c_26877,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c1 )
| ( multiply(X1_8,sk_c1) != identity )
| ( inverse(multiply(sk_c1,X4_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1751,c_3034,c_1648,c_1648,c_1648,c_1445]) ).
tff(c_26879,plain,
! [X4_207] : ( inverse(multiply(sk_c1,X4_207)) != identity ),
inference(splitLeft,[status(thm)],[c_26877]) ).
tff(c_26914,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_1751,c_26879]) ).
tff(c_26930,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1771,c_26914]) ).
tff(c_26932,plain,
! [X1_208] :
( ( inverse(X1_208) != sk_c1 )
| ( multiply(X1_208,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_26877]) ).
tff(c_26983,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1654,c_26932]) ).
tff(c_27009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1647,c_26983]) ).
tff(c_27011,plain,
multiply(sk_c2,sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_27041,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27011,c_24]) ).
tff(c_27010,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_27015,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27010,c_4]) ).
tff(c_27076,plain,
! [Z_211] : ( multiply(sk_c7,multiply(sk_c4,Z_211)) = multiply(identity,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_27015,c_27052]) ).
tff(c_27229,plain,
! [Z_219] : ( multiply(sk_c7,multiply(sk_c4,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27076]) ).
tff(c_27241,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27041,c_27229]) ).
tff(c_27270,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27241,c_27252]) ).
tff(c_27334,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27270]) ).
tff(c_27309,plain,
multiply(inverse(sk_c3),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_96,c_27252]) ).
tff(c_27657,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_27321,c_27334,c_27309]) ).
tff(c_27315,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_81,c_27252]) ).
tff(c_27658,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27657,c_27315]) ).
tff(c_27674,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_65,c_27658]) ).
tff(c_27085,plain,
! [Z_211] : ( multiply(sk_c7,multiply(sk_c1,Z_211)) = multiply(identity,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_27052]) ).
tff(c_27105,plain,
! [Z_212] : ( multiply(sk_c7,multiply(sk_c1,Z_212)) = Z_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27085]) ).
tff(c_27117,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_91,c_27105]) ).
tff(c_27505,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27334,c_27117]) ).
tff(c_27663,plain,
multiply(sk_c2,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27657,c_27657,c_27505]) ).
tff(c_27103,plain,
! [X_2,Z_211] : ( multiply(inverse(X_2),multiply(X_2,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27091]) ).
tff(c_27865,plain,
multiply(inverse(sk_c2),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_27663,c_27103]) ).
tff(c_27874,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27674,c_65,c_27865]) ).
tff(c_27670,plain,
multiply(sk_c2,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27657,c_27015]) ).
tff(c_27772,plain,
multiply(inverse(sk_c2),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_27670,c_27103]) ).
tff(c_27781,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27674,c_65,c_27772]) ).
tff(c_27671,plain,
inverse(sk_c4) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_27657,c_27010]) ).
tff(c_27723,plain,
multiply(sk_c2,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27671,c_4]) ).
tff(c_27894,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27874,c_27781,c_27723]) ).
tff(c_27673,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_27657,c_77]) ).
tff(c_27881,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27874,c_27673]) ).
tff(c_27885,plain,
inverse(sk_c1) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_27874,c_65]) ).
tff(c_27921,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_27881,c_27885]) ).
tff(c_27082,plain,
! [Z_211] : ( multiply(sk_c1,multiply(sk_c6,Z_211)) = multiply(sk_c7,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_27052]) ).
tff(c_27833,plain,
! [Z_211] : ( multiply(sk_c2,Z_211) = multiply(sk_c1,Z_211) ),
inference(demodulation,[status(thm),theory(equality)],[c_27657,c_2,c_27334,c_27082]) ).
tff(c_27508,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27334,c_27011]) ).
tff(c_27834,plain,
multiply(sk_c1,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27833,c_27508]) ).
tff(c_27942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27894,c_27921,c_27834]) ).
tff(c_27944,plain,
multiply(sk_c3,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_29404,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27944,c_40]) ).
tff(c_27943,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_27948,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27943,c_4]) ).
tff(c_29411,plain,
! [X_252,Y_253,Z_254] : ( multiply(multiply(X_252,Y_253),Z_254) = multiply(X_252,multiply(Y_253,Z_254)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_29435,plain,
! [Z_254] : ( multiply(sk_c7,multiply(sk_c4,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_27948,c_29411]) ).
tff(c_29619,plain,
! [Z_263] : ( multiply(sk_c7,multiply(sk_c4,Z_263)) = Z_263 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29435]) ).
tff(c_29631,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29404,c_29619]) ).
tff(c_29447,plain,
! [X_2,Z_254] : ( multiply(inverse(X_2),multiply(X_2,Z_254)) = multiply(identity,Z_254) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29411]) ).
tff(c_29642,plain,
! [X_264,Z_265] : ( multiply(inverse(X_264),multiply(X_264,Z_265)) = Z_265 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29447]) ).
tff(c_29660,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_29631,c_29642]) ).
tff(c_29724,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_29660]) ).
tff(c_28,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_27960,plain,
multiply(sk_c2,sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_27993,plain,
! [X_227,Y_228,Z_229] : ( multiply(multiply(X_227,Y_228),Z_229) = multiply(X_227,multiply(Y_228,Z_229)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28029,plain,
! [Z_229] : ( multiply(sk_c3,multiply(sk_c2,Z_229)) = multiply(identity,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_27993]) ).
tff(c_28113,plain,
! [Z_233] : ( multiply(sk_c3,multiply(sk_c2,Z_233)) = Z_233 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28029]) ).
tff(c_28125,plain,
multiply(sk_c3,sk_c6) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_27960,c_28113]) ).
tff(c_28032,plain,
! [X_2,Z_229] : ( multiply(inverse(X_2),multiply(X_2,Z_229)) = multiply(identity,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27993]) ).
tff(c_28295,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_28032]) ).
tff(c_28337,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28125,c_28295]) ).
tff(c_28392,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28337]) ).
tff(c_27988,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27944,c_40]) ).
tff(c_29256,plain,
multiply(sk_c4,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28392,c_27988]) ).
tff(c_28023,plain,
! [Z_229] : ( multiply(sk_c1,multiply(sk_c6,Z_229)) = multiply(sk_c7,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_27993]) ).
tff(c_28599,plain,
! [Z_244] : ( multiply(sk_c7,Z_244) = multiply(sk_c1,Z_244) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28392,c_28023]) ).
tff(c_28632,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28599,c_81]) ).
tff(c_28020,plain,
! [Z_229] : ( multiply(sk_c7,multiply(sk_c4,Z_229)) = multiply(identity,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_27948,c_27993]) ).
tff(c_28272,plain,
! [Z_239] : ( multiply(sk_c7,multiply(sk_c4,Z_239)) = Z_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28020]) ).
tff(c_28284,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27988,c_28272]) ).
tff(c_28402,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28392,c_28284]) ).
tff(c_44,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_27965,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_27944,c_44]) ).
tff(c_27969,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27965,c_4]) ).
tff(c_28626,plain,
multiply(sk_c1,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28599,c_27969]) ).
tff(c_28044,plain,
! [X_2,Z_229] : ( multiply(inverse(X_2),multiply(X_2,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28032]) ).
tff(c_28685,plain,
multiply(inverse(sk_c1),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28626,c_28044]) ).
tff(c_28694,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28402,c_77,c_28685]) ).
tff(c_28742,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28694,c_77]) ).
tff(c_28629,plain,
multiply(sk_c1,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28599,c_27948]) ).
tff(c_28807,plain,
multiply(inverse(sk_c1),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_28629,c_28044]) ).
tff(c_28813,plain,
multiply(sk_c5,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28742,c_28807]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_27981,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_27944,c_46]) ).
tff(c_28409,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28392,c_27981]) ).
tff(c_28732,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28694,c_28409]) ).
tff(c_28843,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28813,c_28732]) ).
tff(c_28849,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28843,c_28694]) ).
tff(c_28026,plain,
! [Z_229] : ( multiply(sk_c7,multiply(sk_c1,Z_229)) = multiply(identity,Z_229) ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_27993]) ).
tff(c_28042,plain,
! [Z_229] : ( multiply(sk_c7,multiply(sk_c1,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28026]) ).
tff(c_28688,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28626,c_28042]) ).
tff(c_28948,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28849,c_28843,c_28688]) ).
tff(c_28793,plain,
multiply(inverse(sk_c1),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_28632,c_28044]) ).
tff(c_28799,plain,
multiply(sk_c5,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28742,c_28793]) ).
tff(c_28966,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28948,c_28843,c_28799]) ).
tff(c_28738,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_28694,c_27965]) ).
tff(c_28848,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_28843,c_28843,c_28738]) ).
tff(c_28971,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28966,c_28966,c_28848]) ).
tff(c_28973,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_28966,c_28849]) ).
tff(c_28597,plain,
! [Z_229] : ( multiply(sk_c7,Z_229) = multiply(sk_c1,Z_229) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28392,c_28023]) ).
tff(c_28086,plain,
! [X3_232] :
( ( multiply(X3_232,sk_c6) != sk_c7 )
| ( inverse(X3_232) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_28096,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27981,c_28086]) ).
tff(c_28111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27965,c_28096]) ).
tff(c_28112,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_28200,plain,
! [X2_237] :
( ( multiply(X2_237,sk_c6) != sk_c7 )
| ( inverse(X2_237) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_28112]) ).
tff(c_28213,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27981,c_28200]) ).
tff(c_28229,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27965,c_28213]) ).
tff(c_28230,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_28112]) ).
tff(c_28401,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_28230]) ).
tff(c_28533,plain,
! [X4_243] :
( ( multiply(inverse(X4_243),sk_c7) != identity )
| ( multiply(X4_243,inverse(X4_243)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28392,c_28392,c_28401]) ).
tff(c_28554,plain,
multiply(sk_c7,inverse(sk_c7)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_28533]) ).
tff(c_28598,plain,
multiply(sk_c1,inverse(sk_c7)) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28597,c_28554]) ).
tff(c_29248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28632,c_28971,c_28973,c_28598]) ).
tff(c_29249,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_28230]) ).
tff(c_29270,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28392,c_29249]) ).
tff(c_29361,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_29256,c_29270]) ).
tff(c_29376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27943,c_29361]) ).
tff(c_29378,plain,
multiply(sk_c2,sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_29738,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_29724,c_29378]) ).
tff(c_29711,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69,c_29642]) ).
tff(c_29459,plain,
! [X_2,Z_254] : ( multiply(inverse(X_2),multiply(X_2,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_29447]) ).
tff(c_30290,plain,
! [X_270,Z_271] : ( multiply(inverse(inverse(X_270)),Z_271) = multiply(X_270,Z_271) ),
inference(superposition,[status(thm),theory(equality)],[c_29642,c_29459]) ).
tff(c_29717,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_29642]) ).
tff(c_30337,plain,
! [X_272] : ( multiply(X_272,identity) = X_272 ),
inference(superposition,[status(thm),theory(equality)],[c_30290,c_29717]) ).
tff(c_30389,plain,
inverse(sk_c3) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_29711,c_30337]) ).
tff(c_30456,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30389,c_4]) ).
tff(c_30462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29738,c_30456]) ).
tff(c_30464,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_30512,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_30464,c_16]) ).
tff(c_30463,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_30468,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30463,c_4]) ).
tff(c_30518,plain,
! [X_273,Y_274,Z_275] : ( multiply(multiply(X_273,Y_274),Z_275) = multiply(X_273,multiply(Y_274,Z_275)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_30548,plain,
! [Z_275] : ( multiply(sk_c7,multiply(sk_c4,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_30468,c_30518]) ).
tff(c_30694,plain,
! [Z_282] : ( multiply(sk_c7,multiply(sk_c4,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30548]) ).
tff(c_30706,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_30512,c_30694]) ).
tff(c_30557,plain,
! [X_2,Z_275] : ( multiply(inverse(X_2),multiply(X_2,Z_275)) = multiply(identity,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_30518]) ).
tff(c_30831,plain,
! [X_285,Z_286] : ( multiply(inverse(X_285),multiply(X_285,Z_286)) = Z_286 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30557]) ).
tff(c_30867,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_30706,c_30831]) ).
tff(c_30935,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_30867]) ).
tff(c_30957,plain,
multiply(sk_c1,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30935,c_30464]) ).
tff(c_30496,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_30753,plain,
! [Z_284] : ( multiply(sk_c3,multiply(sk_c7,Z_284)) = multiply(sk_c6,Z_284) ),
inference(superposition,[status(thm),theory(equality)],[c_30496,c_30518]) ).
tff(c_30786,plain,
multiply(sk_c6,sk_c1) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_81,c_30753]) ).
tff(c_30946,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c1),
inference(demodulation,[status(thm),theory(equality)],[c_30935,c_30786]) ).
tff(c_30960,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30946]) ).
tff(c_20,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_30476,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30464,c_20]) ).
tff(c_30480,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_30476,c_4]) ).
tff(c_30780,plain,
multiply(sk_c6,sk_c5) = multiply(sk_c3,identity),
inference(superposition,[status(thm),theory(equality)],[c_30480,c_30753]) ).
tff(c_30945,plain,
multiply(sk_c3,identity) = multiply(identity,sk_c5),
inference(demodulation,[status(thm),theory(equality)],[c_30935,c_30780]) ).
tff(c_30959,plain,
multiply(sk_c3,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30945]) ).
tff(c_31092,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_30960,c_30959]) ).
tff(c_22,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_30506,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_30464,c_22]) ).
tff(c_30954,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_30935,c_30506]) ).
tff(c_31104,plain,
multiply(sk_c1,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31092,c_30954]) ).
tff(c_31109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30957,c_31104]) ).
tff(c_31110,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_31127,plain,
! [X_289,Y_290,Z_291] : ( multiply(multiply(X_289,Y_290),Z_291) = multiply(X_289,multiply(Y_290,Z_291)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31151,plain,
! [Z_291] : ( multiply(sk_c7,multiply(sk_c4,Z_291)) = multiply(identity,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_30468,c_31127]) ).
tff(c_31326,plain,
! [Z_301] : ( multiply(sk_c7,multiply(sk_c4,Z_301)) = Z_301 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31151]) ).
tff(c_31338,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31110,c_31326]) ).
tff(c_31160,plain,
! [X_2,Z_291] : ( multiply(inverse(X_2),multiply(X_2,Z_291)) = multiply(identity,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31127]) ).
tff(c_31349,plain,
! [X_302,Z_303] : ( multiply(inverse(X_302),multiply(X_302,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31160]) ).
tff(c_31367,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31338,c_31349]) ).
tff(c_31428,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31367]) ).
tff(c_31145,plain,
! [Z_291] : ( multiply(sk_c4,multiply(sk_c7,Z_291)) = multiply(sk_c6,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_31110,c_31127]) ).
tff(c_31543,plain,
! [Z_305] : ( multiply(sk_c4,multiply(sk_c7,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31428,c_31145]) ).
tff(c_31582,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_81,c_31543]) ).
tff(c_31579,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_30468,c_31543]) ).
tff(c_31793,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_31582,c_31579]) ).
tff(c_31796,plain,
multiply(sk_c1,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_31793,c_31582]) ).
tff(c_31576,plain,
multiply(sk_c4,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_30480,c_31543]) ).
tff(c_31702,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_31582,c_31576]) ).
tff(c_31111,plain,
multiply(sk_c3,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_31117,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_31111,c_46]) ).
tff(c_31148,plain,
! [Z_291] : ( multiply(sk_c7,multiply(sk_c5,Z_291)) = multiply(identity,Z_291) ),
inference(superposition,[status(thm),theory(equality)],[c_30480,c_31127]) ).
tff(c_31287,plain,
! [Z_299] : ( multiply(sk_c7,multiply(sk_c5,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31148]) ).
tff(c_31299,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31117,c_31287]) ).
tff(c_31437,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31428,c_31299]) ).
tff(c_31561,plain,
multiply(sk_c4,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31437,c_31543]) ).
tff(c_31606,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_31576,c_31561]) ).
tff(c_31442,plain,
multiply(sk_c1,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_31428,c_30464]) ).
tff(c_31625,plain,
multiply(sk_c1,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_31606,c_31442]) ).
tff(c_31820,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31796,c_31702,c_31625]) ).
tff(c_31822,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_31823,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_31831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31822,c_31823]) ).
tff(c_31832,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_31870,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_31822,c_8]) ).
tff(c_31844,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31832,c_4]) ).
tff(c_31881,plain,
! [X_307,Y_308,Z_309] : ( multiply(multiply(X_307,Y_308),Z_309) = multiply(X_307,multiply(Y_308,Z_309)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31902,plain,
! [Z_309] : ( multiply(sk_c7,multiply(sk_c4,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_31844,c_31881]) ).
tff(c_31924,plain,
! [Z_310] : ( multiply(sk_c7,multiply(sk_c4,Z_310)) = Z_310 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31902]) ).
tff(c_31936,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31870,c_31924]) ).
tff(c_31911,plain,
! [X_2,Z_309] : ( multiply(inverse(X_2),multiply(X_2,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31881]) ).
tff(c_32161,plain,
! [X_319,Z_320] : ( multiply(inverse(X_319),multiply(X_319,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31911]) ).
tff(c_32203,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31936,c_32161]) ).
tff(c_32245,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32203]) ).
tff(c_32071,plain,
! [Z_317] : ( multiply(sk_c4,multiply(sk_c7,Z_317)) = multiply(sk_c6,Z_317) ),
inference(superposition,[status(thm),theory(equality)],[c_31870,c_31881]) ).
tff(c_32092,plain,
multiply(sk_c6,sk_c4) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_31844,c_32071]) ).
tff(c_32254,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c4),
inference(demodulation,[status(thm),theory(equality)],[c_32245,c_32092]) ).
tff(c_32262,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32254]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_31860,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_31822,c_14]) ).
tff(c_31821,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_31837,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31821,c_4]) ).
tff(c_31905,plain,
! [Z_309] : ( multiply(sk_c7,multiply(sk_c5,Z_309)) = multiply(identity,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_31837,c_31881]) ).
tff(c_32123,plain,
! [Z_318] : ( multiply(sk_c7,multiply(sk_c5,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31905]) ).
tff(c_32138,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_31860,c_32123]) ).
tff(c_31896,plain,
! [Z_309] : ( multiply(sk_c4,multiply(sk_c7,Z_309)) = multiply(sk_c6,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_31870,c_31881]) ).
tff(c_32145,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_32138,c_31896]) ).
tff(c_32251,plain,
multiply(sk_c4,identity) = multiply(identity,sk_c7),
inference(demodulation,[status(thm),theory(equality)],[c_32245,c_32245,c_32145]) ).
tff(c_32260,plain,
multiply(sk_c4,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32251]) ).
tff(c_32385,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32262,c_32260]) ).
tff(c_32394,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32385,c_31832]) ).
tff(c_32408,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32394,c_4]) ).
tff(c_31984,plain,
! [X3_313] :
( ( multiply(X3_313,sk_c6) != sk_c7 )
| ( inverse(X3_313) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_31994,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31860,c_31984]) ).
tff(c_32007,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31821,c_31994]) ).
tff(c_32008,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_32046,plain,
! [X2_316] :
( ( multiply(X2_316,sk_c6) != sk_c7 )
| ( inverse(X2_316) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_32008]) ).
tff(c_32056,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31860,c_32046]) ).
tff(c_32069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31821,c_32056]) ).
tff(c_32070,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_32008]) ).
tff(c_32152,plain,
! [X4_10] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_32070]) ).
tff(c_32366,plain,
! [X4_322] :
( ( multiply(inverse(X4_322),sk_c7) != identity )
| ( multiply(X4_322,inverse(X4_322)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32245,c_32245,c_32152]) ).
tff(c_32384,plain,
multiply(sk_c7,inverse(sk_c7)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_32366]) ).
tff(c_32449,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32408,c_32394,c_32385,c_32385,c_32384]) ).
tff(c_32459,plain,
! [X1_323] :
( ( inverse(X1_323) != sk_c7 )
| ( multiply(X1_323,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_32070]) ).
tff(c_32472,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_31870,c_32459]) ).
tff(c_32485,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31832,c_32472]) ).
tff(c_32487,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_32499,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32487,c_34]) ).
tff(c_32503,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32499,c_4]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_32521,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_32487,c_32]) ).
tff(c_32537,plain,
! [X_324,Y_325,Z_326] : ( multiply(multiply(X_324,Y_325),Z_326) = multiply(X_324,multiply(Y_325,Z_326)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32558,plain,
! [Z_326] : ( multiply(sk_c7,multiply(sk_c4,Z_326)) = multiply(identity,Z_326) ),
inference(superposition,[status(thm),theory(equality)],[c_32503,c_32537]) ).
tff(c_32576,plain,
! [Z_327] : ( multiply(sk_c7,multiply(sk_c4,Z_327)) = Z_327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32558]) ).
tff(c_32588,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32521,c_32576]) ).
tff(c_32564,plain,
! [X_2,Z_326] : ( multiply(inverse(X_2),multiply(X_2,Z_326)) = multiply(identity,Z_326) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32537]) ).
tff(c_32655,plain,
! [X_330,Z_331] : ( multiply(inverse(X_330),multiply(X_330,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32564]) ).
tff(c_32679,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_32588,c_32655]) ).
tff(c_32713,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32679]) ).
tff(c_32552,plain,
! [Z_326] : ( multiply(sk_c4,multiply(sk_c7,Z_326)) = multiply(sk_c6,Z_326) ),
inference(superposition,[status(thm),theory(equality)],[c_32521,c_32537]) ).
tff(c_33751,plain,
! [Z_348] : ( multiply(sk_c4,multiply(sk_c7,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32713,c_32552]) ).
tff(c_33775,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32503,c_33751]) ).
tff(c_38,plain,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_32513,plain,
multiply(sk_c5,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32487,c_38]) ).
tff(c_32486,plain,
inverse(sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_32491,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32486,c_4]) ).
tff(c_32561,plain,
! [Z_326] : ( multiply(sk_c7,multiply(sk_c5,Z_326)) = multiply(identity,Z_326) ),
inference(superposition,[status(thm),theory(equality)],[c_32491,c_32537]) ).
tff(c_32599,plain,
! [Z_328] : ( multiply(sk_c7,multiply(sk_c5,Z_328)) = Z_328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32561]) ).
tff(c_32611,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_32513,c_32599]) ).
tff(c_32718,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32713,c_32611]) ).
tff(c_33750,plain,
! [Z_326] : ( multiply(sk_c4,multiply(sk_c7,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32713,c_32552]) ).
tff(c_33804,plain,
multiply(sk_c4,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32718,c_33750]) ).
tff(c_33868,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_33775,c_33804]) ).
tff(c_33877,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_33868,c_32499]) ).
tff(c_32721,plain,
multiply(sk_c5,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32713,c_32513]) ).
tff(c_32573,plain,
! [Z_326] : ( multiply(sk_c7,multiply(sk_c5,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32561]) ).
tff(c_33726,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32721,c_32573]) ).
tff(c_33905,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33868,c_33868,c_33726]) ).
tff(c_33816,plain,
! [X_349] : ( multiply(inverse(identity),X_349) = X_349 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_32655]) ).
tff(c_32574,plain,
! [X_2,Z_326] : ( multiply(inverse(X_2),multiply(X_2,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32564]) ).
tff(c_33977,plain,
! [X_352] : ( multiply(inverse(inverse(identity)),X_352) = X_352 ),
inference(superposition,[status(thm),theory(equality)],[c_33816,c_32574]) ).
tff(c_33998,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33977,c_4]) ).
tff(c_34075,plain,
! [X_354,Z_355] : ( multiply(inverse(inverse(X_354)),Z_355) = multiply(X_354,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_32574,c_32655]) ).
tff(c_34096,plain,
! [X_354] : ( multiply(X_354,inverse(X_354)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_34075,c_4]) ).
tff(c_33871,plain,
! [Z_326] : ( multiply(sk_c4,multiply(sk_c4,Z_326)) = Z_326 ),
inference(demodulation,[status(thm),theory(equality)],[c_33868,c_33750]) ).
tff(c_32706,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32655]) ).
tff(c_34082,plain,
! [X_354] : ( multiply(X_354,identity) = X_354 ),
inference(superposition,[status(thm),theory(equality)],[c_34075,c_32706]) ).
tff(c_34291,plain,
! [X_359,Y_360,Z_361] : ( multiply(inverse(multiply(X_359,Y_360)),multiply(X_359,multiply(Y_360,Z_361))) = Z_361 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_32655]) ).
tff(c_34327,plain,
! [X_359,X_354] : ( multiply(inverse(multiply(X_359,X_354)),multiply(X_359,identity)) = inverse(X_354) ),
inference(superposition,[status(thm),theory(equality)],[c_34096,c_34291]) ).
tff(c_35400,plain,
! [X_377,X_378] : ( multiply(inverse(multiply(X_377,X_378)),X_377) = inverse(X_378) ),
inference(demodulation,[status(thm),theory(equality)],[c_34082,c_34327]) ).
tff(c_35511,plain,
! [Z_326] : ( multiply(inverse(Z_326),sk_c4) = inverse(multiply(sk_c4,Z_326)) ),
inference(superposition,[status(thm),theory(equality)],[c_33871,c_35400]) ).
tff(c_32719,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_32713,c_32588]) ).
tff(c_32555,plain,
! [Z_326] : ( multiply(sk_c5,multiply(sk_c6,Z_326)) = multiply(sk_c7,Z_326) ),
inference(superposition,[status(thm),theory(equality)],[c_32513,c_32537]) ).
tff(c_32822,plain,
! [Z_333] : ( multiply(sk_c7,Z_333) = multiply(sk_c5,Z_333) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32713,c_32555]) ).
tff(c_32846,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32822,c_32503]) ).
tff(c_32895,plain,
multiply(inverse(sk_c5),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_32846,c_32574]) ).
tff(c_32904,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32719,c_32486,c_32895]) ).
tff(c_33094,plain,
! [X_336,Z_337] : ( multiply(inverse(inverse(X_336)),Z_337) = multiply(X_336,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_32574,c_32655]) ).
tff(c_33101,plain,
! [X_336] : ( multiply(X_336,identity) = X_336 ),
inference(superposition,[status(thm),theory(equality)],[c_33094,c_32706]) ).
tff(c_32623,plain,
! [X3_329] :
( ( multiply(X3_329,sk_c6) != sk_c7 )
| ( inverse(X3_329) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_32633,plain,
inverse(sk_c5) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32513,c_32623]) ).
tff(c_32646,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32486,c_32633]) ).
tff(c_32647,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != sk_c6 )
| ( multiply(X4_10,inverse(X4_10)) != sk_c6 )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != sk_c6 )
| ( multiply(X2_9,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_32726,plain,
! [X4_10,X1_8,X2_9] :
( ( multiply(inverse(X4_10),sk_c7) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity )
| ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( multiply(X2_9,identity) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32713,c_32713,c_32713,c_32713,c_32647]) ).
tff(c_32727,plain,
! [X2_9] :
( ( multiply(X2_9,identity) != sk_c7 )
| ( inverse(X2_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_32726]) ).
tff(c_33716,plain,
inverse(sk_c4) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32904,c_33101,c_32904,c_32727]) ).
tff(c_32916,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_32904,c_32499]) ).
tff(c_33718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33716,c_32916]) ).
tff(c_33719,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c7 )
| ( multiply(X1_8,sk_c7) != identity )
| ( multiply(inverse(X4_10),sk_c7) != identity )
| ( multiply(X4_10,inverse(X4_10)) != identity ) ),
inference(splitRight,[status(thm)],[c_32726]) ).
tff(c_54273,plain,
! [X1_8,X4_10] :
( ( inverse(X1_8) != sk_c4 )
| ( multiply(X1_8,sk_c4) != identity )
| ( inverse(multiply(sk_c4,X4_10)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34096,c_35511,c_33868,c_33868,c_33868,c_33719]) ).
tff(c_54275,plain,
! [X4_496] : ( inverse(multiply(sk_c4,X4_496)) != identity ),
inference(splitLeft,[status(thm)],[c_54273]) ).
tff(c_54301,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_34096,c_54275]) ).
tff(c_54319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33998,c_54301]) ).
tff(c_54321,plain,
! [X1_497] :
( ( inverse(X1_497) != sk_c4 )
| ( multiply(X1_497,sk_c4) != identity ) ),
inference(splitRight,[status(thm)],[c_54273]) ).
tff(c_54372,plain,
inverse(sk_c4) != sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_33905,c_54321]) ).
tff(c_54398,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33877,c_54372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP222-1 : 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
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:28:06 EDT 2023
% 0.14/0.36 % CPUTime :
% 14.49/5.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.49/5.72
% 14.49/5.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.84/5.78
% 14.84/5.78 Inference rules
% 14.84/5.78 ----------------------
% 14.84/5.78 #Ref : 0
% 14.84/5.78 #Sup : 13183
% 14.84/5.78 #Fact : 0
% 14.84/5.78 #Define : 0
% 14.84/5.78 #Split : 32
% 14.84/5.78 #Chain : 0
% 14.84/5.78 #Close : 0
% 14.84/5.78
% 14.84/5.78 Ordering : KBO
% 14.84/5.78
% 14.84/5.78 Simplification rules
% 14.84/5.78 ----------------------
% 14.84/5.78 #Subsume : 4
% 14.84/5.78 #Demod : 36959
% 14.84/5.78 #Tautology : 10426
% 14.84/5.78 #SimpNegUnit : 29
% 14.84/5.78 #BackRed : 336
% 14.84/5.78
% 14.84/5.78 #Partial instantiations: 0
% 14.84/5.78 #Strategies tried : 1
% 14.84/5.78
% 14.84/5.78 Timing (in seconds)
% 14.84/5.78 ----------------------
% 14.84/5.79 Preprocessing : 0.48
% 14.84/5.79 Parsing : 0.21
% 14.84/5.79 CNF conversion : 0.02
% 14.84/5.79 Main loop : 4.15
% 14.84/5.79 Inferencing : 1.05
% 14.84/5.79 Reduction : 2.38
% 14.84/5.79 Demodulation : 2.20
% 14.84/5.79 BG Simplification : 0.09
% 14.84/5.79 Subsumption : 0.40
% 14.84/5.79 Abstraction : 0.21
% 14.84/5.79 MUC search : 0.00
% 14.84/5.79 Cooper : 0.00
% 14.84/5.79 Total : 4.74
% 14.84/5.79 Index Insertion : 0.00
% 14.84/5.79 Index Deletion : 0.00
% 14.84/5.79 Index Matching : 0.00
% 14.84/5.79 BG Taut test : 0.00
%------------------------------------------------------------------------------