TSTP Solution File: GRP287-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP287-1 : 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 : n008.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 10:40:47 EDT 2023
% Result : Unsatisfiable 13.18s 4.70s
% Output : CNFRefutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 387 ( 311 unt; 10 typ; 0 def)
% Number of atoms : 550 ( 528 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 357 ( 184 ~; 173 |; 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 : 203 (; 203 !; 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_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_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_167,axiom,
! [X3,X4,X1,X2] :
( ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X4,sk_c6) != sk_c5 )
| ( inverse(X4) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X2) != sk_c6 )
| ( multiply(X2,sk_c5) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
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_27284,plain,
! [X_326,Y_327,Z_328] : ( multiply(multiply(X_326,Y_327),Z_328) = multiply(X_326,multiply(Y_327,Z_328)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_27317,plain,
! [X_2,Z_328] : ( multiply(inverse(X_2),multiply(X_2,Z_328)) = multiply(identity,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27284]) ).
tff(c_27328,plain,
! [X_2,Z_328] : ( multiply(inverse(X_2),multiply(X_2,Z_328)) = Z_328 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27317]) ).
tff(c_28355,plain,
! [X_350,Z_351] : ( multiply(inverse(X_350),multiply(X_350,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27317]) ).
tff(c_28657,plain,
! [X_354,Z_355] : ( multiply(inverse(inverse(X_354)),Z_355) = multiply(X_354,Z_355) ),
inference(superposition,[status(thm),theory(equality)],[c_27328,c_28355]) ).
tff(c_28400,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28355]) ).
tff(c_28664,plain,
! [X_354] : ( multiply(X_354,identity) = X_354 ),
inference(superposition,[status(thm),theory(equality)],[c_28657,c_28400]) ).
tff(c_42,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_103,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_52,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_75,plain,
inverse(sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_79,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_75,c_4]) ).
tff(c_11989,plain,
! [X_145,Y_146,Z_147] : ( multiply(multiply(X_145,Y_146),Z_147) = multiply(X_145,multiply(Y_146,Z_147)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12028,plain,
! [Z_147] : ( multiply(sk_c6,multiply(sk_c2,Z_147)) = multiply(identity,Z_147) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_11989]) ).
tff(c_12071,plain,
! [Z_149] : ( multiply(sk_c6,multiply(sk_c2,Z_149)) = Z_149 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12028]) ).
tff(c_12083,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_103,c_12071]) ).
tff(c_12031,plain,
! [X_2,Z_147] : ( multiply(inverse(X_2),multiply(X_2,Z_147)) = multiply(identity,Z_147) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11989]) ).
tff(c_12111,plain,
! [X_151,Z_152] : ( multiply(inverse(X_151),multiply(X_151,Z_152)) = Z_152 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12031]) ).
tff(c_12132,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12083,c_12111]) ).
tff(c_12193,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12132]) ).
tff(c_22,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_11945,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_32,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_87,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_91,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_87,c_4]) ).
tff(c_12025,plain,
! [Z_147] : ( multiply(sk_c7,multiply(sk_c1,Z_147)) = multiply(identity,Z_147) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_11989]) ).
tff(c_12045,plain,
! [Z_148] : ( multiply(sk_c7,multiply(sk_c1,Z_148)) = Z_148 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12025]) ).
tff(c_12057,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11945,c_12045]) ).
tff(c_135,plain,
! [X_12,Y_13,Z_14] : ( multiply(multiply(X_12,Y_13),Z_14) = multiply(X_12,multiply(Y_13,Z_14)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_165,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_135]) ).
tff(c_238,plain,
! [X_16,Z_17] : ( multiply(inverse(X_16),multiply(X_16,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_165]) ).
tff(c_265,plain,
multiply(inverse(sk_c2),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_103,c_238]) ).
tff(c_281,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_75,c_265]) ).
tff(c_175,plain,
! [X_2,Z_14] : ( multiply(inverse(X_2),multiply(X_2,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_165]) ).
tff(c_285,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_281,c_175]) ).
tff(c_291,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_285]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_108,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_115,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_159,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_135]) ).
tff(c_177,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_189,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115,c_177]) ).
tff(c_193,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_189]) ).
tff(c_198,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_193,c_87]) ).
tff(c_206,plain,
multiply(sk_c5,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_198,c_4]) ).
tff(c_306,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_291,c_206]) ).
tff(c_195,plain,
multiply(sk_c1,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_193,c_115]) ).
tff(c_348,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_306,c_291,c_195]) ).
tff(c_483,plain,
! [X_21,Z_22] : ( multiply(inverse(inverse(X_21)),Z_22) = multiply(X_21,Z_22) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_238]) ).
tff(c_274,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_238]) ).
tff(c_494,plain,
! [X_21] : ( multiply(X_21,identity) = X_21 ),
inference(superposition,[status(thm),theory(equality)],[c_483,c_274]) ).
tff(c_58,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_210,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193,c_193,c_193,c_193,c_193,c_58]) ).
tff(c_211,plain,
multiply(sk_c5,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_210]) ).
tff(c_196,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_193,c_108]) ).
tff(c_227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_211,c_196]) ).
tff(c_228,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_210]) ).
tff(c_8144,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != identity )
| ( identity != X3_6 )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_348,c_494,c_348,c_291,c_494,c_348,c_291,c_348,c_494,c_348,c_291,c_348,c_494,c_348,c_291,c_291,c_2,c_348,c_291,c_291,c_228]) ).
tff(c_8146,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8144]) ).
tff(c_295,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_291,c_198]) ).
tff(c_311,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_306,c_295]) ).
tff(c_8148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8146,c_311]) ).
tff(c_8149,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(splitRight,[status(thm)],[c_8144]) ).
tff(c_10346,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8149]) ).
tff(c_10348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10346,c_311]) ).
tff(c_10349,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_8149]) ).
tff(c_10351,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_10349]) ).
tff(c_10353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10351,c_311]) ).
tff(c_10904,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_10349]) ).
tff(c_10906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10904,c_311]) ).
tff(c_10908,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_10937,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10908,c_18]) ).
tff(c_20,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_10943,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10908,c_20]) ).
tff(c_10907,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_10912,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10907,c_4]) ).
tff(c_10957,plain,
! [X_128,Y_129,Z_130] : ( multiply(multiply(X_128,Y_129),Z_130) = multiply(X_128,multiply(Y_129,Z_130)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10984,plain,
! [Z_130] : ( multiply(sk_c6,multiply(sk_c3,Z_130)) = multiply(identity,Z_130) ),
inference(superposition,[status(thm),theory(equality)],[c_10912,c_10957]) ).
tff(c_11508,plain,
! [Z_140] : ( multiply(sk_c6,multiply(sk_c3,Z_140)) = Z_140 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10984]) ).
tff(c_11520,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10943,c_11508]) ).
tff(c_11524,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10937,c_11520]) ).
tff(c_11532,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11524,c_10937]) ).
tff(c_10999,plain,
! [X_2,Z_130] : ( multiply(inverse(X_2),multiply(X_2,Z_130)) = multiply(identity,Z_130) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10957]) ).
tff(c_11622,plain,
! [X_141,Z_142] : ( multiply(inverse(X_141),multiply(X_141,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10999]) ).
tff(c_11643,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11532,c_11622]) ).
tff(c_11689,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11643]) ).
tff(c_11697,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11689,c_91]) ).
tff(c_11011,plain,
! [X_2,Z_130] : ( multiply(inverse(X_2),multiply(X_2,Z_130)) = Z_130 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10999]) ).
tff(c_11852,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_11697,c_11011]) ).
tff(c_11864,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11852]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_10952,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10908,c_26]) ).
tff(c_24,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_10920,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10908,c_24]) ).
tff(c_10924,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10920,c_4]) ).
tff(c_10981,plain,
! [Z_130] : ( multiply(sk_c6,multiply(sk_c4,Z_130)) = multiply(identity,Z_130) ),
inference(superposition,[status(thm),theory(equality)],[c_10924,c_10957]) ).
tff(c_11049,plain,
! [Z_133] : ( multiply(sk_c6,multiply(sk_c4,Z_133)) = Z_133 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10981]) ).
tff(c_11061,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_10952,c_11049]) ).
tff(c_11526,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11524,c_11524,c_11061]) ).
tff(c_11719,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11526,c_11011]) ).
tff(c_11725,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11719]) ).
tff(c_11536,plain,
multiply(sk_c1,sk_c7) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11524,c_10908]) ).
tff(c_11713,plain,
multiply(sk_c1,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11689,c_11536]) ).
tff(c_11728,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_11725,c_11713]) ).
tff(c_11931,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11864,c_11728]) ).
tff(c_11933,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12063,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12057,c_11933]) ).
tff(c_12223,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12193,c_12063]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_11968,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11933,c_8]) ).
tff(c_12,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_11956,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11933,c_12]) ).
tff(c_10,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_11984,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11933,c_10]) ).
tff(c_12147,plain,
multiply(inverse(sk_c3),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11984,c_12111]) ).
tff(c_12195,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11968,c_11956,c_12147]) ).
tff(c_12210,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12195,c_11956]) ).
tff(c_12280,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12193,c_12210]) ).
tff(c_12206,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12195,c_11984]) ).
tff(c_12359,plain,
multiply(sk_c3,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12193,c_12206]) ).
tff(c_12043,plain,
! [X_2,Z_147] : ( multiply(inverse(X_2),multiply(X_2,Z_147)) = Z_147 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12031]) ).
tff(c_12363,plain,
multiply(inverse(sk_c3),sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12359,c_12043]) ).
tff(c_12369,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12280,c_12363]) ).
tff(c_12371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12223,c_12369]) ).
tff(c_12373,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_12410,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12373,c_18]) ).
tff(c_12394,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11933,c_10]) ).
tff(c_12372,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_12377,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12372,c_4]) ).
tff(c_12418,plain,
! [X_155,Y_156,Z_157] : ( multiply(multiply(X_155,Y_156),Z_157) = multiply(X_155,multiply(Y_156,Z_157)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12442,plain,
! [Z_157] : ( multiply(sk_c6,multiply(sk_c3,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_12377,c_12418]) ).
tff(c_12532,plain,
! [Z_161] : ( multiply(sk_c6,multiply(sk_c3,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12442]) ).
tff(c_12544,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12394,c_12532]) ).
tff(c_12548,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12410,c_12544]) ).
tff(c_12454,plain,
! [Z_157] : ( multiply(sk_c6,multiply(sk_c2,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_79,c_12418]) ).
tff(c_12484,plain,
! [Z_159] : ( multiply(sk_c6,multiply(sk_c2,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12454]) ).
tff(c_12496,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_103,c_12484]) ).
tff(c_12597,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12548,c_12548,c_12496]) ).
tff(c_12457,plain,
! [X_2,Z_157] : ( multiply(inverse(X_2),multiply(X_2,Z_157)) = multiply(identity,Z_157) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12418]) ).
tff(c_12643,plain,
! [X_163,Z_164] : ( multiply(inverse(X_163),multiply(X_163,Z_164)) = Z_164 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12457]) ).
tff(c_12661,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12597,c_12643]) ).
tff(c_12692,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12661]) ).
tff(c_12604,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12548,c_12372]) ).
tff(c_12618,plain,
multiply(sk_c5,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12604,c_4]) ).
tff(c_12718,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12692,c_12618]) ).
tff(c_12601,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12548,c_12394]) ).
tff(c_12753,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12718,c_12692,c_12601]) ).
tff(c_12606,plain,
multiply(sk_c7,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12548,c_11933]) ).
tff(c_12773,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12753,c_12692,c_12692,c_12606]) ).
tff(c_12775,plain,
multiply(sk_c2,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_38,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_14229,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12775,c_38]) ).
tff(c_12783,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_12812,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_12836,plain,
! [X_165,Y_166,Z_167] : ( multiply(multiply(X_165,Y_166),Z_167) = multiply(X_165,multiply(Y_166,Z_167)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12872,plain,
! [Z_167] : ( multiply(sk_c7,multiply(sk_c1,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_12836]) ).
tff(c_12892,plain,
! [Z_168] : ( multiply(sk_c7,multiply(sk_c1,Z_168)) = Z_168 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12872]) ).
tff(c_12904,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12812,c_12892]) ).
tff(c_12908,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12783,c_12904]) ).
tff(c_12927,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12908,c_12908,c_12908,c_12908,c_12908,c_58]) ).
tff(c_12928,plain,
multiply(sk_c5,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_12927]) ).
tff(c_12913,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12908,c_12783]) ).
tff(c_12945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12928,c_12913]) ).
tff(c_12947,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_12927]) ).
tff(c_12878,plain,
! [X_2,Z_167] : ( multiply(inverse(X_2),multiply(X_2,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12836]) ).
tff(c_12971,plain,
! [X_169,Z_170] : ( multiply(inverse(X_169),multiply(X_169,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12878]) ).
tff(c_12989,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12947,c_12971]) ).
tff(c_13032,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12989]) ).
tff(c_13043,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13032,c_79]) ).
tff(c_12890,plain,
! [X_2,Z_167] : ( multiply(inverse(X_2),multiply(X_2,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12878]) ).
tff(c_13210,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_13043,c_12890]) ).
tff(c_13222,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13210]) ).
tff(c_44,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_12793,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12775,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_12831,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12775,c_46]) ).
tff(c_13004,plain,
multiply(inverse(sk_c4),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12831,c_12971]) ).
tff(c_13034,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12793,c_13004]) ).
tff(c_13080,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13032,c_2,c_13032,c_13034]) ).
tff(c_13041,plain,
multiply(sk_c2,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13032,c_12775]) ).
tff(c_13269,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13222,c_13080,c_13041]) ).
tff(c_13270,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_13271,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_13279,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13271,c_20]) ).
tff(c_12774,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_12779,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12774,c_4]) ).
tff(c_13294,plain,
! [X_172,Y_173,Z_174] : ( multiply(multiply(X_172,Y_173),Z_174) = multiply(X_172,multiply(Y_173,Z_174)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13321,plain,
! [Z_174] : ( multiply(sk_c6,multiply(sk_c3,Z_174)) = multiply(identity,Z_174) ),
inference(superposition,[status(thm),theory(equality)],[c_12779,c_13294]) ).
tff(c_13879,plain,
! [Z_187] : ( multiply(sk_c6,multiply(sk_c3,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13321]) ).
tff(c_13894,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13279,c_13879]) ).
tff(c_13898,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13270,c_13894]) ).
tff(c_13907,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13898,c_13270]) ).
tff(c_13333,plain,
! [X_2,Z_174] : ( multiply(inverse(X_2),multiply(X_2,Z_174)) = multiply(identity,Z_174) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13294]) ).
tff(c_13988,plain,
! [X_188,Z_189] : ( multiply(inverse(X_188),multiply(X_188,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13333]) ).
tff(c_14006,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13907,c_13988]) ).
tff(c_14052,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14006]) ).
tff(c_14061,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14052,c_91]) ).
tff(c_13345,plain,
! [X_2,Z_174] : ( multiply(inverse(X_2),multiply(X_2,Z_174)) = Z_174 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13333]) ).
tff(c_14167,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_14061,c_13345]) ).
tff(c_14179,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14167]) ).
tff(c_13286,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_13271,c_26]) ).
tff(c_12797,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12793,c_4]) ).
tff(c_13318,plain,
! [Z_174] : ( multiply(sk_c6,multiply(sk_c4,Z_174)) = multiply(identity,Z_174) ),
inference(superposition,[status(thm),theory(equality)],[c_12797,c_13294]) ).
tff(c_13373,plain,
! [Z_177] : ( multiply(sk_c6,multiply(sk_c4,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13318]) ).
tff(c_13385,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13286,c_13373]) ).
tff(c_13901,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13898,c_13898,c_13385]) ).
tff(c_14018,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13901,c_13988]) ).
tff(c_14054,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14018]) ).
tff(c_13906,plain,
multiply(sk_c1,sk_c7) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13898,c_13271]) ).
tff(c_14058,plain,
multiply(sk_c1,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14052,c_13906]) ).
tff(c_14201,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14179,c_14054,c_14058]) ).
tff(c_14203,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_14234,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14203,c_10]) ).
tff(c_14253,plain,
! [X_190,Y_191,Z_192] : ( multiply(multiply(X_190,Y_191),Z_192) = multiply(X_190,multiply(Y_191,Z_192)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14277,plain,
! [Z_192] : ( multiply(sk_c6,multiply(sk_c3,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_12779,c_14253]) ).
tff(c_14329,plain,
! [Z_195] : ( multiply(sk_c6,multiply(sk_c3,Z_195)) = Z_195 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14277]) ).
tff(c_14341,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14234,c_14329]) ).
tff(c_14345,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14229,c_14341]) ).
tff(c_14350,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14345,c_14229]) ).
tff(c_14289,plain,
! [X_2,Z_192] : ( multiply(inverse(X_2),multiply(X_2,Z_192)) = multiply(identity,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14253]) ).
tff(c_14301,plain,
! [X_2,Z_192] : ( multiply(inverse(X_2),multiply(X_2,Z_192)) = Z_192 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14289]) ).
tff(c_14596,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14350,c_14301]) ).
tff(c_14602,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14596]) ).
tff(c_14353,plain,
multiply(sk_c7,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14345,c_14203]) ).
tff(c_14638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14602,c_14353]) ).
tff(c_14640,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_28,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_14665,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14640,c_28]) ).
tff(c_30,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_14684,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14640,c_30]) ).
tff(c_14639,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_14644,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14639,c_4]) ).
tff(c_14698,plain,
! [X_200,Y_201,Z_202] : ( multiply(multiply(X_200,Y_201),Z_202) = multiply(X_200,multiply(Y_201,Z_202)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14725,plain,
! [Z_202] : ( multiply(sk_c6,multiply(sk_c3,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_14644,c_14698]) ).
tff(c_14767,plain,
! [Z_204] : ( multiply(sk_c6,multiply(sk_c3,Z_204)) = Z_204 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14725]) ).
tff(c_14779,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14684,c_14767]) ).
tff(c_14783,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14665,c_14779]) ).
tff(c_36,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_14678,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14640,c_36]) ).
tff(c_34,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_14648,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14640,c_34]) ).
tff(c_14652,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14648,c_4]) ).
tff(c_14722,plain,
! [Z_202] : ( multiply(sk_c6,multiply(sk_c4,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_14652,c_14698]) ).
tff(c_14744,plain,
! [Z_203] : ( multiply(sk_c6,multiply(sk_c4,Z_203)) = Z_203 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14722]) ).
tff(c_14756,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14678,c_14744]) ).
tff(c_14785,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14783,c_14783,c_14756]) ).
tff(c_14731,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = multiply(identity,Z_202) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14698]) ).
tff(c_14742,plain,
! [X_2,Z_202] : ( multiply(inverse(X_2),multiply(X_2,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14731]) ).
tff(c_15026,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14785,c_14742]) ).
tff(c_15032,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15026]) ).
tff(c_14965,plain,
! [X_207,Z_208] : ( multiply(inverse(X_207),multiply(X_207,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14731]) ).
tff(c_15226,plain,
! [X_211,Z_212] : ( multiply(inverse(inverse(X_211)),Z_212) = multiply(X_211,Z_212) ),
inference(superposition,[status(thm),theory(equality)],[c_14742,c_14965]) ).
tff(c_15007,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14965]) ).
tff(c_15233,plain,
! [X_211] : ( multiply(X_211,identity) = X_211 ),
inference(superposition,[status(thm),theory(equality)],[c_15226,c_15007]) ).
tff(c_14789,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14783,c_14665]) ).
tff(c_14989,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14789,c_14965]) ).
tff(c_15014,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14989]) ).
tff(c_14855,plain,
! [X_205,Z_206] : ( multiply(inverse(X_205),multiply(X_205,Z_206)) = Z_206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14731]) ).
tff(c_14879,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14789,c_14855]) ).
tff(c_14904,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14879]) ).
tff(c_14800,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c5 )
| ( inverse(X2_9) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != sk_c7 )
| ( multiply(sk_c5,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14783,c_14783,c_14783,c_14783,c_14783,c_14783,c_14783,c_14783,c_14783,c_58]) ).
tff(c_14801,plain,
multiply(sk_c7,sk_c5) != sk_c5,
inference(splitLeft,[status(thm)],[c_14800]) ).
tff(c_14905,plain,
multiply(identity,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14904,c_14801]) ).
tff(c_14910,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14905]) ).
tff(c_14911,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(sk_c5,sk_c7) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c5 )
| ( inverse(X2_9) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_14800]) ).
tff(c_23275,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != identity )
| ( identity != X3_6 )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( identity != X2_9 )
| ( inverse(X2_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15032,c_15233,c_15032,c_15032,c_15233,c_15032,c_15014,c_15032,c_15233,c_15032,c_15032,c_15032,c_15233,c_15032,c_15014,c_15014,c_15032,c_2,c_15032,c_15014,c_14911]) ).
tff(c_23277,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23275]) ).
tff(c_14791,plain,
multiply(sk_c5,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14783,c_14644]) ).
tff(c_15095,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15032,c_14791]) ).
tff(c_14793,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14783,c_14639]) ).
tff(c_15037,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15032,c_14793]) ).
tff(c_15096,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15095,c_15037]) ).
tff(c_23279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23277,c_15096]) ).
tff(c_23280,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(splitRight,[status(thm)],[c_23275]) ).
tff(c_27200,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23280]) ).
tff(c_27202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27200,c_15096]) ).
tff(c_27203,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_23280]) ).
tff(c_27205,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_27203]) ).
tff(c_27207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27205,c_15096]) ).
tff(c_27210,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_27203]) ).
tff(c_27212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27210,c_15096]) ).
tff(c_27214,plain,
inverse(sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_48,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_27270,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_27214,c_48]) ).
tff(c_50,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_27262,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_27214,c_50]) ).
tff(c_27213,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_27218,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27213,c_4]) ).
tff(c_27314,plain,
! [Z_328] : ( multiply(sk_c6,multiply(sk_c3,Z_328)) = multiply(identity,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_27218,c_27284]) ).
tff(c_27353,plain,
! [Z_330] : ( multiply(sk_c6,multiply(sk_c3,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27314]) ).
tff(c_27365,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_27262,c_27353]) ).
tff(c_27369,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27270,c_27365]) ).
tff(c_56,plain,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_27252,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27214,c_56]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_27239,plain,
inverse(sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_27214,c_54]) ).
tff(c_27243,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_27239,c_4]) ).
tff(c_27308,plain,
! [Z_328] : ( multiply(sk_c6,multiply(sk_c4,Z_328)) = multiply(identity,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_27243,c_27284]) ).
tff(c_27330,plain,
! [Z_329] : ( multiply(sk_c6,multiply(sk_c4,Z_329)) = Z_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27308]) ).
tff(c_27342,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27252,c_27330]) ).
tff(c_27498,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27369,c_27342]) ).
tff(c_28454,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27498,c_27328]) ).
tff(c_28460,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28454]) ).
tff(c_27500,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27270]) ).
tff(c_28422,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27500,c_27328]) ).
tff(c_28428,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28422]) ).
tff(c_27630,plain,
! [X_336,Z_337] : ( multiply(inverse(X_336),multiply(X_336,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27317]) ).
tff(c_27657,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_27498,c_27630]) ).
tff(c_27700,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27657]) ).
tff(c_27963,plain,
! [X_340,Z_341] : ( multiply(inverse(inverse(X_340)),Z_341) = multiply(X_340,Z_341) ),
inference(superposition,[status(thm),theory(equality)],[c_27328,c_27630]) ).
tff(c_27693,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_27630]) ).
tff(c_27970,plain,
! [X_340] : ( multiply(X_340,identity) = X_340 ),
inference(superposition,[status(thm),theory(equality)],[c_27963,c_27693]) ).
tff(c_27376,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27270]) ).
tff(c_27432,plain,
! [X_331,Z_332] : ( multiply(inverse(X_331),multiply(X_331,Z_332)) = Z_332 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27317]) ).
tff(c_27450,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_27376,c_27432]) ).
tff(c_27484,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_27450]) ).
tff(c_27371,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27270,c_58]) ).
tff(c_27372,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_27371]) ).
tff(c_27410,plain,
multiply(sk_c7,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27372]) ).
tff(c_27489,plain,
multiply(identity,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27484,c_27410]) ).
tff(c_27494,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_27489]) ).
tff(c_27495,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X4_7,sk_c6) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c6 )
| ( inverse(X2_9) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_27371]) ).
tff(c_27557,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != sk_c7 )
| ( multiply(X2_9,sk_c5) != sk_c5 )
| ( inverse(X2_9) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27369,c_27369,c_27369,c_27369,c_27369,c_27369,c_27495]) ).
tff(c_27558,plain,
! [X2_9] :
( ( multiply(X2_9,sk_c5) != sk_c5 )
| ( inverse(X2_9) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_27557]) ).
tff(c_28350,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_27700,c_27970,c_27700,c_27700,c_27558]) ).
tff(c_27505,plain,
multiply(sk_c5,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27218]) ).
tff(c_27713,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27700,c_27505]) ).
tff(c_27838,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_27713,c_2]) ).
tff(c_27507,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27213]) ).
tff(c_27716,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27700,c_27507]) ).
tff(c_27849,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_27838,c_27716]) ).
tff(c_28352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28350,c_27849]) ).
tff(c_28353,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != sk_c7 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X3_6,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_27557]) ).
tff(c_35629,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != identity )
| ( identity != X1_8 )
| ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X3_6) != identity )
| ( identity != X3_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28664,c_28460,c_28428,c_28428,c_28664,c_28460,c_28460,c_28460,c_28664,c_28460,c_28428,c_28460,c_28353]) ).
tff(c_35631,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_35629]) ).
tff(c_27504,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_27369,c_27239]) ).
tff(c_28468,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28460,c_27504]) ).
tff(c_28502,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28468,c_4]) ).
tff(c_28521,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_28502,c_27328]) ).
tff(c_28533,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28521]) ).
tff(c_28537,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28533,c_28468]) ).
tff(c_35633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35631,c_28537]) ).
tff(c_35634,plain,
! [X4_7,X1_8] :
( ( inverse(X4_7) != identity )
| ( identity != X4_7 )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(splitRight,[status(thm)],[c_35629]) ).
tff(c_35636,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_35634]) ).
tff(c_35638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35636,c_28537]) ).
tff(c_35641,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_35634]) ).
tff(c_35643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35641,c_28537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:27:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 13.18/4.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.33/4.72
% 13.33/4.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.33/4.78
% 13.33/4.78 Inference rules
% 13.33/4.78 ----------------------
% 13.33/4.78 #Ref : 0
% 13.33/4.78 #Sup : 8799
% 13.33/4.78 #Fact : 0
% 13.33/4.78 #Define : 0
% 13.33/4.78 #Split : 30
% 13.33/4.78 #Chain : 0
% 13.33/4.78 #Close : 0
% 13.33/4.78
% 13.33/4.78 Ordering : KBO
% 13.33/4.78
% 13.33/4.78 Simplification rules
% 13.33/4.78 ----------------------
% 13.33/4.78 #Subsume : 3
% 13.33/4.78 #Demod : 20963
% 13.33/4.78 #Tautology : 7054
% 13.33/4.78 #SimpNegUnit : 56
% 13.33/4.78 #BackRed : 442
% 13.33/4.78
% 13.33/4.78 #Partial instantiations: 0
% 13.33/4.78 #Strategies tried : 1
% 13.33/4.78
% 13.33/4.78 Timing (in seconds)
% 13.33/4.78 ----------------------
% 13.33/4.78 Preprocessing : 0.50
% 13.33/4.78 Parsing : 0.22
% 13.33/4.78 CNF conversion : 0.02
% 13.33/4.78 Main loop : 3.03
% 13.33/4.78 Inferencing : 0.89
% 13.33/4.78 Reduction : 1.57
% 13.33/4.78 Demodulation : 1.41
% 13.33/4.78 BG Simplification : 0.09
% 13.33/4.78 Subsumption : 0.31
% 13.33/4.78 Abstraction : 0.18
% 13.33/4.78 MUC search : 0.00
% 13.33/4.78 Cooper : 0.00
% 13.33/4.78 Total : 3.63
% 13.33/4.78 Index Insertion : 0.00
% 13.33/4.78 Index Deletion : 0.00
% 13.33/4.78 Index Matching : 0.00
% 13.33/4.78 BG Taut test : 0.00
%------------------------------------------------------------------------------