TSTP Solution File: GRP377-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP377-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:41:07 EDT 2023
% Result : Unsatisfiable 13.74s 5.22s
% Output : CNFRefutation 14.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 39
% Syntax : Number of formulae : 419 ( 333 unt; 13 typ; 0 def)
% Number of atoms : 556 ( 542 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 311 ( 161 ~; 150 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 2 avg)
% Maximal term depth : 5 ( 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 : 206 (; 206 !; 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_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c3) = sk_c9 ) ),
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_179,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
! [X5,X6,X3,X7,X1,X2,X4] :
( ( inverse(sk_c10) != sk_c9 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(X1,sk_c10) != sk_c9 )
| ( inverse(X1) != sk_c10 )
| ( multiply(X3,sk_c9) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( multiply(X4,X5) != sk_c10 )
| ( inverse(X4) != X5 )
| ( multiply(X5,sk_c9) != sk_c10 )
| ( inverse(X6) != X7 )
| ( inverse(X7) != X5 )
| ( multiply(X6,X5) != X7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c4,sk_c7) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c7,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_18,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_120,plain,
inverse(sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_125,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_120,c_4]) ).
tff(c_34,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_31570,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_54,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_105,plain,
inverse(sk_c1) = sk_c10,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_109,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_105,c_4]) ).
tff(c_31668,plain,
! [X_300,Y_301,Z_302] : ( multiply(multiply(X_300,Y_301),Z_302) = multiply(X_300,multiply(Y_301,Z_302)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31719,plain,
! [Z_302] : ( multiply(sk_c10,multiply(sk_c1,Z_302)) = multiply(identity,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_31668]) ).
tff(c_31803,plain,
! [Z_305] : ( multiply(sk_c10,multiply(sk_c1,Z_305)) = Z_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31719]) ).
tff(c_31824,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_31570,c_31803]) ).
tff(c_31716,plain,
! [Z_302] : ( multiply(sk_c9,multiply(sk_c10,Z_302)) = multiply(identity,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_31668]) ).
tff(c_31735,plain,
! [Z_302] : ( multiply(sk_c9,multiply(sk_c10,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31716]) ).
tff(c_31834,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_31824,c_31735]) ).
tff(c_31841,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_31834]) ).
tff(c_175,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_202,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_175]) ).
tff(c_22153,plain,
! [X_193,Z_194] : ( multiply(inverse(X_193),multiply(X_193,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_202]) ).
tff(c_212,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_202]) ).
tff(c_22302,plain,
! [X_198,Z_199] : ( multiply(inverse(inverse(X_198)),Z_199) = multiply(X_198,Z_199) ),
inference(superposition,[status(thm),theory(equality)],[c_22153,c_212]) ).
tff(c_22177,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22153]) ).
tff(c_22309,plain,
! [X_198] : ( multiply(X_198,identity) = X_198 ),
inference(superposition,[status(thm),theory(equality)],[c_22302,c_22177]) ).
tff(c_144,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_199,plain,
! [Z_17] : ( multiply(sk_c10,multiply(sk_c1,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_175]) ).
tff(c_304,plain,
! [Z_21] : ( multiply(sk_c10,multiply(sk_c1,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199]) ).
tff(c_316,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_144,c_304]) ).
tff(c_196,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c10,Z_17)) = multiply(identity,Z_17) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_175]) ).
tff(c_343,plain,
! [Z_23] : ( multiply(sk_c9,multiply(sk_c10,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_196]) ).
tff(c_358,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_316,c_343]) ).
tff(c_368,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_358]) ).
tff(c_364,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_343]) ).
tff(c_388,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_368,c_364]) ).
tff(c_391,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_105]) ).
tff(c_22113,plain,
multiply(sk_c10,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_391,c_4]) ).
tff(c_370,plain,
multiply(sk_c10,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_368,c_316]) ).
tff(c_22125,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22113,c_370]) ).
tff(c_84,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_137,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_373,plain,
multiply(sk_c8,identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_368,c_137]) ).
tff(c_22188,plain,
multiply(sk_c8,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22125,c_373]) ).
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_22195,plain,
! [Z_5] : ( multiply(sk_c8,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_22188,c_6]) ).
tff(c_22203,plain,
! [Z_195] : ( multiply(sk_c8,Z_195) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_22195]) ).
tff(c_22231,plain,
! [Z_196] : ( multiply(inverse(sk_c8),Z_196) = Z_196 ),
inference(superposition,[status(thm),theory(equality)],[c_22203,c_212]) ).
tff(c_22248,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_22231,c_4]) ).
tff(c_372,plain,
multiply(sk_c1,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_368,c_144]) ).
tff(c_414,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_388,c_372]) ).
tff(c_375,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_368,c_120]) ).
tff(c_417,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_414,c_375]) ).
tff(c_436,plain,
! [X_24,Z_25] : ( multiply(inverse(X_24),multiply(X_24,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_202]) ).
tff(c_611,plain,
! [X_30,Z_31] : ( multiply(inverse(inverse(X_30)),Z_31) = multiply(X_30,Z_31) ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_436]) ).
tff(c_460,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_436]) ).
tff(c_622,plain,
! [X_30] : ( multiply(X_30,identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_460]) ).
tff(c_656,plain,
! [X_30] : ( multiply(X_30,inverse(X_30)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_611]) ).
tff(c_816,plain,
! [X_35,Y_36,Z_37] : ( multiply(inverse(multiply(X_35,Y_36)),multiply(X_35,multiply(Y_36,Z_37))) = Z_37 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_436]) ).
tff(c_883,plain,
! [X_35,X_2] : ( multiply(inverse(multiply(X_35,inverse(X_2))),multiply(X_35,identity)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_816]) ).
tff(c_1127,plain,
! [X_42,X_43] : ( multiply(inverse(multiply(X_42,inverse(X_43))),X_42) = X_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_622,c_883]) ).
tff(c_629,plain,
! [X_30,Z_17] : ( multiply(X_30,multiply(inverse(X_30),Z_17)) = Z_17 ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_212]) ).
tff(c_1140,plain,
! [X_42,X_43] : ( multiply(multiply(X_42,inverse(X_43)),X_43) = X_42 ),
inference(superposition,[status(thm),theory(equality)],[c_1127,c_629]) ).
tff(c_664,plain,
! [X_32] : ( multiply(X_32,identity) = X_32 ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_460]) ).
tff(c_710,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_460,c_664]) ).
tff(c_852,plain,
! [X_35,X_30] : ( multiply(inverse(multiply(X_35,X_30)),multiply(X_35,identity)) = inverse(X_30) ),
inference(superposition,[status(thm),theory(equality)],[c_656,c_816]) ).
tff(c_905,plain,
! [X_35,X_30] : ( multiply(inverse(multiply(X_35,X_30)),X_35) = inverse(X_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_622,c_852]) ).
tff(c_1396,plain,
! [X_48,X_49] : ( multiply(inverse(multiply(X_48,X_49)),X_48) = inverse(X_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_622,c_852]) ).
tff(c_1446,plain,
! [X_30,X_35] : ( multiply(inverse(inverse(X_30)),inverse(multiply(X_35,X_30))) = inverse(X_35) ),
inference(superposition,[status(thm),theory(equality)],[c_905,c_1396]) ).
tff(c_1641,plain,
! [X_52,X_53] : ( multiply(X_52,inverse(multiply(X_53,X_52))) = inverse(X_53) ),
inference(demodulation,[status(thm),theory(equality)],[c_710,c_1446]) ).
tff(c_1712,plain,
! [X_42,X_43] : ( inverse(multiply(X_42,inverse(X_43))) = multiply(X_43,inverse(X_42)) ),
inference(superposition,[status(thm),theory(equality)],[c_1140,c_1641]) ).
tff(c_217,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_199]) ).
tff(c_229,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_144,c_217]) ).
tff(c_240,plain,
! [Z_19] : ( multiply(sk_c9,multiply(sk_c10,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_196]) ).
tff(c_252,plain,
multiply(sk_c9,sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_229,c_240]) ).
tff(c_262,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_125,c_252]) ).
tff(c_268,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_120]) ).
tff(c_88,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(sk_c10) != sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_215,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120,c_137,c_88]) ).
tff(c_216,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_215]) ).
tff(c_281,plain,
! [X2_20] :
( ( inverse(X2_20) != sk_c10 )
| ( multiply(X2_20,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_262,c_216]) ).
tff(c_289,plain,
inverse(inverse(sk_c10)) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_4,c_281]) ).
tff(c_295,plain,
inverse(identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_289]) ).
tff(c_258,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_240]) ).
tff(c_296,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_262,c_258]) ).
tff(c_299,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_296,c_105]) ).
tff(c_302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_295,c_299]) ).
tff(c_303,plain,
! [X1_10,X3_8,X6_7,X4_12] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_215]) ).
tff(c_397,plain,
! [X1_10,X3_8,X6_7,X4_12] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_368,c_368,c_368,c_303]) ).
tff(c_398,plain,
! [X6_7,X4_12] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),identity) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_397]) ).
tff(c_22000,plain,
! [X4_190,X6_191] :
( ( multiply(X4_190,inverse(X6_191)) != inverse(X4_190) )
| ( multiply(X6_191,inverse(X4_190)) != inverse(X6_191) )
| ( inverse(X4_190) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_656,c_414,c_622,c_414,c_1712,c_398]) ).
tff(c_22061,plain,
! [X6_191] :
( ( inverse(identity) != inverse(X6_191) )
| ( multiply(X6_191,inverse(identity)) != inverse(X6_191) )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22000]) ).
tff(c_22087,plain,
! [X6_192] :
( ( inverse(X6_192) != identity )
| ( inverse(X6_192) != X6_192 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_417,c_622,c_417,c_417,c_22061]) ).
tff(c_22099,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_417,c_22087]) ).
tff(c_22108,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_417,c_22099]) ).
tff(c_22109,plain,
! [X3_8,X1_10] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != identity ) ),
inference(splitRight,[status(thm)],[c_397]) ).
tff(c_31341,plain,
! [X3_8,X1_10] :
( ( inverse(X3_8) != identity )
| ( identity != X3_8 )
| ( inverse(X1_10) != identity )
| ( identity != X1_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22309,c_22125,c_22125,c_22309,c_22248,c_22109]) ).
tff(c_31343,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_31341]) ).
tff(c_22135,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22125,c_391]) ).
tff(c_31345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31343,c_22135]) ).
tff(c_31347,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_31341]) ).
tff(c_31349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31347,c_22135]) ).
tff(c_31351,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_31453,plain,
! [X_296,Y_297,Z_298] : ( multiply(multiply(X_296,Y_297),Z_298) = multiply(X_296,multiply(Y_297,Z_298)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_31501,plain,
! [Z_298] : ( multiply(sk_c9,multiply(sk_c10,Z_298)) = multiply(identity,Z_298) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_31453]) ).
tff(c_31524,plain,
! [Z_299] : ( multiply(sk_c9,multiply(sk_c10,Z_299)) = Z_299 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31501]) ).
tff(c_31539,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_31524]) ).
tff(c_30,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_31409,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_31351,c_30]) ).
tff(c_31413,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31409,c_4]) ).
tff(c_31536,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_31413,c_31524]) ).
tff(c_31551,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_31539,c_31536]) ).
tff(c_28,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_31423,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31351,c_28]) ).
tff(c_31552,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_31551,c_31423]) ).
tff(c_31556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31351,c_31552]) ).
tff(c_31558,plain,
multiply(sk_c8,sk_c9) != sk_c10,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_74,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_31581,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_31558,c_74]) ).
tff(c_31850,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31841,c_31581]) ).
tff(c_31946,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_31850,c_4]) ).
tff(c_31722,plain,
! [X_2,Z_302] : ( multiply(inverse(X_2),multiply(X_2,Z_302)) = multiply(identity,Z_302) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_31668]) ).
tff(c_31737,plain,
! [X_2,Z_302] : ( multiply(inverse(X_2),multiply(X_2,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31722]) ).
tff(c_31963,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_31946,c_31737]) ).
tff(c_31975,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31963]) ).
tff(c_72,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_31645,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_31558,c_72]) ).
tff(c_31848,plain,
multiply(sk_c3,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_31841,c_31645]) ).
tff(c_32142,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31975,c_31848]) ).
tff(c_31979,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31975,c_31850]) ).
tff(c_31739,plain,
! [Z_303] : ( multiply(sk_c9,multiply(sk_c10,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31716]) ).
tff(c_31754,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_31739]) ).
tff(c_31845,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_31841,c_31754]) ).
tff(c_31856,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_31845]) ).
tff(c_31864,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31856,c_105]) ).
tff(c_31987,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_31979,c_31864]) ).
tff(c_31852,plain,
multiply(sk_c8,identity) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_31841,c_31558]) ).
tff(c_32170,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32142,c_31987,c_31852]) ).
tff(c_32172,plain,
multiply(sk_c1,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_32275,plain,
! [X_310,Y_311,Z_312] : ( multiply(multiply(X_310,Y_311),Z_312) = multiply(X_310,multiply(Y_311,Z_312)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32320,plain,
! [Z_312] : ( multiply(sk_c9,multiply(sk_c10,Z_312)) = multiply(identity,Z_312) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_32275]) ).
tff(c_32343,plain,
! [Z_313] : ( multiply(sk_c9,multiply(sk_c10,Z_313)) = Z_313 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32320]) ).
tff(c_32358,plain,
multiply(sk_c9,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_109,c_32343]) ).
tff(c_32180,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32172,c_30]) ).
tff(c_32184,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32180,c_4]) ).
tff(c_32355,plain,
multiply(sk_c9,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_32184,c_32343]) ).
tff(c_32370,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_32358,c_32355]) ).
tff(c_32245,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32172,c_28]) ).
tff(c_32381,plain,
multiply(sk_c1,sk_c10) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_32370,c_32245]) ).
tff(c_32385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32172,c_32381]) ).
tff(c_32387,plain,
inverse(sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_32479,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32387,c_16]) ).
tff(c_32386,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_32391,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32386,c_4]) ).
tff(c_32498,plain,
! [X_314,Y_315,Z_316] : ( multiply(multiply(X_314,Y_315),Z_316) = multiply(X_314,multiply(Y_315,Z_316)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_32540,plain,
! [Z_316] : ( multiply(sk_c7,multiply(sk_c4,Z_316)) = multiply(identity,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_32391,c_32498]) ).
tff(c_32621,plain,
! [Z_320] : ( multiply(sk_c7,multiply(sk_c4,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32540]) ).
tff(c_32633,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_32479,c_32621]) ).
tff(c_32660,plain,
! [Z_322] : ( multiply(sk_c4,multiply(sk_c7,Z_322)) = multiply(sk_c10,Z_322) ),
inference(superposition,[status(thm),theory(equality)],[c_32479,c_32498]) ).
tff(c_32675,plain,
multiply(sk_c4,sk_c7) = multiply(sk_c10,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_32633,c_32660]) ).
tff(c_32691,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32479,c_32675]) ).
tff(c_32546,plain,
! [X_2,Z_316] : ( multiply(inverse(X_2),multiply(X_2,Z_316)) = multiply(identity,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_32498]) ).
tff(c_32747,plain,
! [X_323,Z_324] : ( multiply(inverse(X_323),multiply(X_323,Z_324)) = Z_324 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32546]) ).
tff(c_32765,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32691,c_32747]) ).
tff(c_32829,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32765]) ).
tff(c_8,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_32458,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32387,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_32411,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32387,c_10]) ).
tff(c_32415,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32411,c_4]) ).
tff(c_32534,plain,
! [Z_316] : ( multiply(sk_c10,multiply(sk_c2,Z_316)) = multiply(identity,Z_316) ),
inference(superposition,[status(thm),theory(equality)],[c_32415,c_32498]) ).
tff(c_32585,plain,
! [Z_318] : ( multiply(sk_c10,multiply(sk_c2,Z_318)) = Z_318 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32534]) ).
tff(c_32597,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32458,c_32585]) ).
tff(c_32777,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_32597,c_32747]) ).
tff(c_32830,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_32777]) ).
tff(c_32845,plain,
inverse(sk_c10) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32830,c_32387]) ).
tff(c_32929,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_32829,c_32845]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c9) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32451,plain,
multiply(sk_c7,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32387,c_20]) ).
tff(c_32681,plain,
multiply(sk_c4,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_32451,c_32660]) ).
tff(c_32692,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32597,c_32681]) ).
tff(c_32558,plain,
! [Z_316] : ( multiply(sk_c7,multiply(sk_c4,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32540]) ).
tff(c_32703,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_32692,c_32558]) ).
tff(c_32717,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32703,c_32633]) ).
tff(c_32737,plain,
multiply(sk_c10,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32717,c_32391]) ).
tff(c_32979,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_32829,c_32737]) ).
tff(c_32739,plain,
inverse(sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_32717,c_32386]) ).
tff(c_32930,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32829,c_32739]) ).
tff(c_32980,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32979,c_32930]) ).
tff(c_32982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32929,c_32980]) ).
tff(c_32984,plain,
inverse(sk_c1) != sk_c10,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c7) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_35165,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32984,c_56]) ).
tff(c_58,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_35118,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32984,c_58]) ).
tff(c_35122,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35118,c_4]) ).
tff(c_35205,plain,
! [X_363,Y_364,Z_365] : ( multiply(multiply(X_363,Y_364),Z_365) = multiply(X_363,multiply(Y_364,Z_365)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_35238,plain,
! [Z_365] : ( multiply(sk_c7,multiply(sk_c4,Z_365)) = multiply(identity,Z_365) ),
inference(superposition,[status(thm),theory(equality)],[c_35122,c_35205]) ).
tff(c_35289,plain,
! [Z_367] : ( multiply(sk_c7,multiply(sk_c4,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35238]) ).
tff(c_35301,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35165,c_35289]) ).
tff(c_35250,plain,
! [X_2,Z_365] : ( multiply(inverse(X_2),multiply(X_2,Z_365)) = multiply(identity,Z_365) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_35205]) ).
tff(c_35391,plain,
! [X_371,Z_372] : ( multiply(inverse(X_371),multiply(X_371,Z_372)) = Z_372 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35250]) ).
tff(c_35427,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35301,c_35391]) ).
tff(c_35496,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_35427]) ).
tff(c_62,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_35096,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_32984,c_62]) ).
tff(c_35100,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35096,c_4]) ).
tff(c_64,plain,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_35132,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32984,c_64]) ).
tff(c_35136,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_35132,c_4]) ).
tff(c_35235,plain,
! [Z_365] : ( multiply(sk_c7,multiply(sk_c5,Z_365)) = multiply(identity,Z_365) ),
inference(superposition,[status(thm),theory(equality)],[c_35136,c_35205]) ).
tff(c_35265,plain,
! [Z_366] : ( multiply(sk_c7,multiply(sk_c5,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35235]) ).
tff(c_35277,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_35100,c_35265]) ).
tff(c_32983,plain,
inverse(sk_c3) = sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_35085,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32983,c_4]) ).
tff(c_50,plain,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_33020,plain,
inverse(sk_c2) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32984,c_50]) ).
tff(c_48,plain,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_33093,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_32984,c_48]) ).
tff(c_33024,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33020,c_4]) ).
tff(c_33110,plain,
! [X_327,Y_328,Z_329] : ( multiply(multiply(X_327,Y_328),Z_329) = multiply(X_327,multiply(Y_328,Z_329)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_33146,plain,
! [Z_329] : ( multiply(sk_c10,multiply(sk_c2,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_33024,c_33110]) ).
tff(c_33524,plain,
! [Z_338] : ( multiply(sk_c10,multiply(sk_c2,Z_338)) = Z_338 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33146]) ).
tff(c_33536,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33093,c_33524]) ).
tff(c_60,plain,
( ( multiply(sk_c7,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_33064,plain,
multiply(sk_c7,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32984,c_60]) ).
tff(c_33074,plain,
multiply(sk_c4,sk_c7) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_32984,c_56]) ).
tff(c_33496,plain,
! [Z_337] : ( multiply(sk_c4,multiply(sk_c7,Z_337)) = multiply(sk_c10,Z_337) ),
inference(superposition,[status(thm),theory(equality)],[c_33074,c_33110]) ).
tff(c_33514,plain,
multiply(sk_c4,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_33064,c_33496]) ).
tff(c_33547,plain,
multiply(sk_c4,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33536,c_33514]) ).
tff(c_33008,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32984,c_58]) ).
tff(c_33012,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33008,c_4]) ).
tff(c_33149,plain,
! [Z_329] : ( multiply(sk_c7,multiply(sk_c4,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_33012,c_33110]) ).
tff(c_34348,plain,
! [Z_353] : ( multiply(sk_c7,multiply(sk_c4,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33149]) ).
tff(c_34366,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33547,c_34348]) ).
tff(c_34372,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33074,c_34348]) ).
tff(c_34598,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34366,c_34372]) ).
tff(c_34610,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34598,c_34366]) ).
tff(c_33158,plain,
! [X_2,Z_329] : ( multiply(inverse(X_2),multiply(X_2,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_33110]) ).
tff(c_34792,plain,
! [X_358,Z_359] : ( multiply(inverse(X_358),multiply(X_358,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33158]) ).
tff(c_34831,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_34610,c_34792]) ).
tff(c_34876,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_34831]) ).
tff(c_33033,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_32984,c_62]) ).
tff(c_33037,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33033,c_4]) ).
tff(c_33048,plain,
inverse(sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_32984,c_64]) ).
tff(c_33052,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_33048,c_4]) ).
tff(c_33140,plain,
! [Z_329] : ( multiply(sk_c7,multiply(sk_c5,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_33052,c_33110]) ).
tff(c_33174,plain,
! [Z_330] : ( multiply(sk_c7,multiply(sk_c5,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33140]) ).
tff(c_33186,plain,
multiply(sk_c7,identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_33037,c_33174]) ).
tff(c_34615,plain,
multiply(sk_c10,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34598,c_33186]) ).
tff(c_34898,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34876,c_34615]) ).
tff(c_34909,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34898]) ).
tff(c_32985,plain,
inverse(sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_32996,plain,
multiply(sk_c9,sk_c10) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32985,c_4]) ).
tff(c_33125,plain,
! [Z_329] : ( multiply(sk_c2,multiply(sk_c10,Z_329)) = multiply(sk_c9,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_33093,c_33110]) ).
tff(c_34682,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c2,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_34610,c_33125]) ).
tff(c_34688,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32996,c_33093,c_34682]) ).
tff(c_34701,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34688,c_32985]) ).
tff(c_34388,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34366,c_34372]) ).
tff(c_34413,plain,
inverse(sk_c4) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34388,c_33008]) ).
tff(c_34400,plain,
multiply(sk_c10,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34388,c_34366]) ).
tff(c_34467,plain,
multiply(sk_c9,sk_c10) = multiply(sk_c2,sk_c10),
inference(superposition,[status(thm),theory(equality)],[c_34400,c_33125]) ).
tff(c_34473,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32996,c_33093,c_34467]) ).
tff(c_33879,plain,
! [X_346,Z_347] : ( multiply(inverse(X_346),multiply(X_346,Z_347)) = Z_347 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33158]) ).
tff(c_33933,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33536,c_33879]) ).
tff(c_33991,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_32996,c_32985,c_33933]) ).
tff(c_34015,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_33991,c_32985]) ).
tff(c_33680,plain,
! [Z_342] : ( multiply(sk_c7,multiply(sk_c4,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33149]) ).
tff(c_33698,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33547,c_33680]) ).
tff(c_33704,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33074,c_33680]) ).
tff(c_33754,plain,
sk_c7 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33698,c_33704]) ).
tff(c_66,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_33069,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_32984,c_66]) ).
tff(c_33143,plain,
! [Z_329] : ( multiply(sk_c5,multiply(sk_c6,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_33037,c_33110]) ).
tff(c_33596,plain,
! [Z_340] : ( multiply(sk_c5,multiply(sk_c6,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33143]) ).
tff(c_33611,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33069,c_33596]) ).
tff(c_33166,plain,
! [Z_329] : ( multiply(sk_c7,multiply(sk_c5,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33140]) ).
tff(c_33644,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_33611,c_33166]) ).
tff(c_33768,plain,
multiply(sk_c10,sk_c10) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_33754,c_33754,c_33644]) ).
tff(c_33172,plain,
! [X_2,Z_329] : ( multiply(inverse(X_2),multiply(X_2,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33158]) ).
tff(c_34097,plain,
multiply(inverse(sk_c10),sk_c5) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33768,c_33172]) ).
tff(c_34106,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_34015,c_34097]) ).
tff(c_33777,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33754,c_33048]) ).
tff(c_34112,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34106,c_33777]) ).
tff(c_34117,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34015,c_34112]) ).
tff(c_34124,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34117,c_34015]) ).
tff(c_34127,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34117,c_33754]) ).
tff(c_33240,plain,
! [X_333,Z_334] : ( multiply(inverse(X_333),multiply(X_333,Z_334)) = Z_334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33158]) ).
tff(c_33276,plain,
multiply(inverse(sk_c2),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33093,c_33240]) ).
tff(c_33335,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33020,c_33276]) ).
tff(c_33355,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33335,c_33172]) ).
tff(c_33361,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33355]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_33088,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_32984,c_52]) ).
tff(c_32989,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_32983,c_4]) ).
tff(c_33155,plain,
! [Z_329] : ( multiply(sk_c9,multiply(sk_c3,Z_329)) = multiply(identity,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_32989,c_33110]) ).
tff(c_33201,plain,
! [Z_331] : ( multiply(sk_c9,multiply(sk_c3,Z_331)) = Z_331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33155]) ).
tff(c_33213,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33088,c_33201]) ).
tff(c_33261,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_33213,c_33240]) ).
tff(c_33334,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33261]) ).
tff(c_33191,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32985,c_88]) ).
tff(c_33192,plain,
multiply(sk_c8,sk_c9) != sk_c10,
inference(splitLeft,[status(thm)],[c_33191]) ).
tff(c_33345,plain,
multiply(identity,sk_c9) != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33334,c_33192]) ).
tff(c_33347,plain,
sk_c9 != sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33345]) ).
tff(c_33400,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_33361,c_33347]) ).
tff(c_33282,plain,
multiply(inverse(sk_c4),sk_c10) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33074,c_33240]) ).
tff(c_33337,plain,
multiply(sk_c7,sk_c10) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_33008,c_33282]) ).
tff(c_33470,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33337,c_33172]) ).
tff(c_33476,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_33470]) ).
tff(c_33478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33400,c_33476]) ).
tff(c_33479,plain,
! [X4_12,X3_8,X1_10,X6_7,X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(multiply(X6_7,inverse(X4_12))) != inverse(X4_12) )
| ( multiply(X6_7,inverse(X4_12)) != inverse(X6_7) )
| ( multiply(inverse(X4_12),sk_c9) != sk_c10 )
| ( multiply(X4_12,inverse(X4_12)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_33191]) ).
tff(c_33708,plain,
! [X6_343,X4_344] :
( ( inverse(multiply(X6_343,inverse(X4_344))) != inverse(X4_344) )
| ( multiply(X6_343,inverse(X4_344)) != inverse(X6_343) )
| ( multiply(inverse(X4_344),sk_c9) != sk_c10 )
| ( multiply(X4_344,inverse(X4_344)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_33479]) ).
tff(c_33719,plain,
! [X6_343] :
( ( inverse(multiply(X6_343,sk_c7)) != inverse(sk_c4) )
| ( multiply(X6_343,inverse(sk_c4)) != inverse(X6_343) )
| ( multiply(inverse(sk_c4),sk_c9) != sk_c10 )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_33008,c_33708]) ).
tff(c_33737,plain,
! [X6_343] :
( ( inverse(multiply(X6_343,sk_c7)) != sk_c7 )
| ( multiply(X6_343,sk_c7) != inverse(X6_343) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33074,c_33008,c_33064,c_33008,c_33008,c_33008,c_33719]) ).
tff(c_34223,plain,
! [X6_349] :
( ( inverse(multiply(X6_349,identity)) != identity )
| ( multiply(X6_349,identity) != inverse(X6_349) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34127,c_34127,c_34127,c_33737]) ).
tff(c_34231,plain,
( ( inverse(identity) != identity )
| ( multiply(inverse(identity),identity) != inverse(inverse(identity)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_34223]) ).
tff(c_34239,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34124,c_34124,c_4,c_34124,c_34231]) ).
tff(c_34240,plain,
! [X3_8,X1_10,X2_11] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_33479]) ).
tff(c_34376,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_34240]) ).
tff(c_34503,plain,
! [X2_355] :
( ( inverse(X2_355) != sk_c10 )
| ( multiply(X2_355,sk_c10) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34473,c_34376]) ).
tff(c_34509,plain,
( ( inverse(sk_c4) != sk_c10 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_33547,c_34503]) ).
tff(c_34524,plain,
sk_c10 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34413,c_34509]) ).
tff(c_34486,plain,
inverse(sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34473,c_32985]) ).
tff(c_34264,plain,
! [Z_351] : ( multiply(sk_c5,multiply(sk_c6,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33143]) ).
tff(c_34279,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_33069,c_34264]) ).
tff(c_34312,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_34279,c_33166]) ).
tff(c_34402,plain,
multiply(sk_c10,sk_c10) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_34388,c_34388,c_34312]) ).
tff(c_34575,plain,
sk_c5 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34400,c_34402]) ).
tff(c_34411,plain,
inverse(sk_c5) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34388,c_33048]) ).
tff(c_34578,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_34575,c_34411]) ).
tff(c_34582,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34486,c_34578]) ).
tff(c_34584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34524,c_34582]) ).
tff(c_34585,plain,
! [X1_10,X3_8] :
( ( inverse(X1_10) != sk_c10 )
| ( multiply(X1_10,sk_c10) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_34240]) ).
tff(c_34586,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_34585]) ).
tff(c_34717,plain,
! [X3_8] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34688,c_34688,c_34586]) ).
tff(c_34775,plain,
( ( inverse(sk_c10) != identity )
| ( sk_c8 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_34615,c_34717]) ).
tff(c_34782,plain,
sk_c8 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_34701,c_34775]) ).
tff(c_34924,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_34909,c_34782]) ).
tff(c_34241,plain,
! [Z_350] : ( multiply(sk_c9,multiply(sk_c3,Z_350)) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_33155]) ).
tff(c_34253,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_33088,c_34241]) ).
tff(c_33137,plain,
! [Z_329] : ( multiply(sk_c7,multiply(sk_c9,Z_329)) = multiply(sk_c10,Z_329) ),
inference(superposition,[status(thm),theory(equality)],[c_33064,c_33110]) ).
tff(c_34631,plain,
! [Z_356] : ( multiply(sk_c10,multiply(sk_c9,Z_356)) = multiply(sk_c10,Z_356) ),
inference(demodulation,[status(thm),theory(equality)],[c_34598,c_33137]) ).
tff(c_34649,plain,
multiply(sk_c10,sk_c9) = multiply(sk_c10,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_34253,c_34631]) ).
tff(c_34664,plain,
multiply(sk_c10,sk_c8) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_33536,c_34649]) ).
tff(c_35036,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_34876,c_2,c_34876,c_34664]) ).
tff(c_35037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34924,c_35036]) ).
tff(c_35050,plain,
! [X1_362] :
( ( inverse(X1_362) != sk_c10 )
| ( multiply(X1_362,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_34585]) ).
tff(c_35063,plain,
inverse(sk_c2) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_33093,c_35050]) ).
tff(c_35079,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33020,c_35063]) ).
tff(c_35081,plain,
inverse(sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_35150,plain,
multiply(sk_c7,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_35081,c_20]) ).
tff(c_35312,plain,
! [Z_368] : ( multiply(sk_c7,multiply(sk_c9,Z_368)) = multiply(sk_c10,Z_368) ),
inference(superposition,[status(thm),theory(equality)],[c_35150,c_35205]) ).
tff(c_35324,plain,
multiply(sk_c7,identity) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_35085,c_35312]) ).
tff(c_35328,plain,
multiply(sk_c10,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35277,c_35324]) ).
tff(c_35506,plain,
multiply(identity,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35496,c_35328]) ).
tff(c_35516,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35506]) ).
tff(c_35527,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_35516,c_35096]) ).
tff(c_35601,plain,
sk_c9 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_35527,c_32983]) ).
tff(c_35080,plain,
inverse(sk_c2) = sk_c10,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_35177,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_35081,c_8]) ).
tff(c_35445,plain,
multiply(inverse(sk_c2),sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_35177,c_35391]) ).
tff(c_35498,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_35080,c_35445]) ).
tff(c_35666,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35601,c_35496,c_2,c_35496,c_35498]) ).
tff(c_35508,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_35496,c_35301]) ).
tff(c_35518,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_35277,c_35508]) ).
tff(c_35532,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35516,c_35518]) ).
tff(c_35538,plain,
inverse(sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35532,c_35132]) ).
tff(c_35672,plain,
inverse(identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35666,c_35538]) ).
tff(c_35513,plain,
inverse(identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_35496,c_35081]) ).
tff(c_35612,plain,
inverse(identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_35601,c_35513]) ).
tff(c_35668,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35666,c_35612]) ).
tff(c_35692,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_35672,c_35668]) ).
tff(c_26,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_35157,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_35081,c_26]) ).
tff(c_35241,plain,
! [Z_365] : ( multiply(sk_c5,multiply(sk_c6,Z_365)) = multiply(identity,Z_365) ),
inference(superposition,[status(thm),theory(equality)],[c_35100,c_35205]) ).
tff(c_35336,plain,
! [Z_369] : ( multiply(sk_c5,multiply(sk_c6,Z_369)) = Z_369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_35241]) ).
tff(c_35351,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_35157,c_35336]) ).
tff(c_35534,plain,
multiply(sk_c5,sk_c5) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_35532,c_35351]) ).
tff(c_35745,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_35666,c_2,c_35666,c_35534]) ).
tff(c_35746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35692,c_35745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP377-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:14:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 13.74/5.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.97/5.28
% 13.97/5.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.23/5.36
% 14.23/5.36 Inference rules
% 14.23/5.36 ----------------------
% 14.23/5.36 #Ref : 0
% 14.23/5.36 #Sup : 8770
% 14.23/5.36 #Fact : 0
% 14.23/5.36 #Define : 0
% 14.23/5.36 #Split : 14
% 14.23/5.36 #Chain : 0
% 14.23/5.36 #Close : 0
% 14.23/5.36
% 14.23/5.36 Ordering : KBO
% 14.23/5.36
% 14.23/5.36 Simplification rules
% 14.23/5.36 ----------------------
% 14.23/5.36 #Subsume : 5
% 14.23/5.36 #Demod : 25424
% 14.23/5.36 #Tautology : 7008
% 14.23/5.36 #SimpNegUnit : 82
% 14.23/5.36 #BackRed : 313
% 14.23/5.36
% 14.23/5.36 #Partial instantiations: 0
% 14.23/5.36 #Strategies tried : 1
% 14.23/5.36
% 14.23/5.36 Timing (in seconds)
% 14.23/5.36 ----------------------
% 14.23/5.36 Preprocessing : 0.58
% 14.23/5.36 Parsing : 0.21
% 14.23/5.36 CNF conversion : 0.03
% 14.23/5.36 Main loop : 3.61
% 14.23/5.36 Inferencing : 1.04
% 14.23/5.36 Reduction : 1.93
% 14.23/5.36 Demodulation : 1.76
% 14.23/5.36 BG Simplification : 0.10
% 14.23/5.36 Subsumption : 0.36
% 14.23/5.36 Abstraction : 0.22
% 14.23/5.36 MUC search : 0.00
% 14.23/5.36 Cooper : 0.00
% 14.23/5.36 Total : 4.34
% 14.23/5.36 Index Insertion : 0.00
% 14.23/5.36 Index Deletion : 0.00
% 14.23/5.36 Index Matching : 0.00
% 14.23/5.36 BG Taut test : 0.00
%------------------------------------------------------------------------------