TSTP Solution File: GRP326-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP326-1 : 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 : n012.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 10:40:56 EDT 2023
% Result : Unsatisfiable 9.67s 3.45s
% Output : CNFRefutation 9.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 35
% Syntax : Number of formulae : 486 ( 405 unt; 10 typ; 0 def)
% Number of atoms : 608 ( 589 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 286 ( 154 ~; 132 |; 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 : 200 (; 200 !; 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_78,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
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_63,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file(unknown,unknown) ).
tff(f_66,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_72,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_120,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ( multiply(sk_c7,sk_c3) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_153,axiom,
! [X2,X3,X4,X1] :
( ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( inverse(X2) != sk_c6 )
| ( multiply(sk_c7,X3) != sk_c6 )
| ( multiply(X4,sk_c7) != X3 )
| ( inverse(X4) != sk_c7 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_99,axiom,
( ( multiply(sk_c7,sk_c3) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_96,axiom,
( ( multiply(sk_c7,sk_c3) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_93,axiom,
( ( multiply(sk_c7,sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_102,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_105,axiom,
( ( multiply(sk_c2,sk_c7) = sk_c3 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_87,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_84,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_81,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_114,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_123,axiom,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_18,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_81,plain,
inverse(sk_c1) = sk_c6,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_85,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81,c_4]) ).
tff(c_11524,plain,
! [X_161,Y_162,Z_163] : ( multiply(multiply(X_161,Y_162),Z_163) = multiply(X_161,multiply(Y_162,Z_163)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11554,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c1,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_11524]) ).
tff(c_11573,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c1,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11554]) ).
tff(c_8,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_10,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_10817,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_10849,plain,
! [X_148,Y_149,Z_150] : ( multiply(multiply(X_148,Y_149),Z_150) = multiply(X_148,multiply(Y_149,Z_150)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10882,plain,
! [Z_150] : ( multiply(sk_c6,multiply(sk_c1,Z_150)) = multiply(identity,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_10849]) ).
tff(c_10905,plain,
! [Z_151] : ( multiply(sk_c6,multiply(sk_c1,Z_151)) = Z_151 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10882]) ).
tff(c_10917,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_10817,c_10905]) ).
tff(c_10921,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10917]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_105,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_9084,plain,
! [X_115,Y_116,Z_117] : ( multiply(multiply(X_115,Y_116),Z_117) = multiply(X_115,multiply(Y_116,Z_117)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9117,plain,
! [Z_117] : ( multiply(sk_c6,multiply(sk_c1,Z_117)) = multiply(identity,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_9084]) ).
tff(c_9140,plain,
! [Z_118] : ( multiply(sk_c6,multiply(sk_c1,Z_118)) = Z_118 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9117]) ).
tff(c_9152,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_105,c_9140]) ).
tff(c_9156,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_9152]) ).
tff(c_9166,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9156,c_8]) ).
tff(c_9123,plain,
! [X_2,Z_117] : ( multiply(inverse(X_2),multiply(X_2,Z_117)) = multiply(identity,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9084]) ).
tff(c_9281,plain,
! [X_121,Z_122] : ( multiply(inverse(X_121),multiply(X_121,Z_122)) = Z_122 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9123]) ).
tff(c_9329,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_9166,c_9281]) ).
tff(c_9365,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_9329]) ).
tff(c_127,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_151,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_127]) ).
tff(c_172,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_184,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_105,c_172]) ).
tff(c_188,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_184]) ).
tff(c_194,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_188,c_8]) ).
tff(c_157,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_127]) ).
tff(c_170,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_157]) ).
tff(c_463,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_194,c_170]) ).
tff(c_469,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_463]) ).
tff(c_389,plain,
! [X_19,Z_20] : ( multiply(inverse(X_19),multiply(X_19,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_157]) ).
tff(c_617,plain,
! [X_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_389,c_170]) ).
tff(c_425,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_389]) ).
tff(c_624,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_617,c_425]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_73,plain,
inverse(sk_c2) = sk_c7,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_38,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_99,plain,
multiply(sk_c2,sk_c7) = sk_c3,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_416,plain,
multiply(inverse(sk_c2),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99,c_389]) ).
tff(c_432,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_73,c_416]) ).
tff(c_446,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_432,c_170]) ).
tff(c_452,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_446]) ).
tff(c_26,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_112,plain,
multiply(sk_c7,sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_190,plain,
multiply(sk_c7,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_188,c_112]) ).
tff(c_516,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_469,c_452,c_190]) ).
tff(c_77,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_154,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_127]) ).
tff(c_238,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_250,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99,c_238]) ).
tff(c_254,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_250]) ).
tff(c_257,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_254,c_194]) ).
tff(c_329,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_257,c_170]) ).
tff(c_335,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_329]) ).
tff(c_261,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_254,c_73]) ).
tff(c_269,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_261,c_4]) ).
tff(c_349,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_335,c_269]) ).
tff(c_338,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_261]) ).
tff(c_362,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_349,c_338]) ).
tff(c_50,plain,
! [X1_9,X4_8,X2_6] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(sk_c6) != sk_c5 )
| ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_52,plain,
! [X1_9,X4_8,X2_6] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(sk_c6) != sk_c5 )
| ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_50]) ).
tff(c_214,plain,
! [X1_9,X4_8,X2_6] :
( ( multiply(X1_9,sk_c5) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c5 )
| ( inverse(sk_c5) != sk_c5 )
| ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c5 )
| ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_188,c_188,c_188,c_188,c_188,c_52]) ).
tff(c_215,plain,
inverse(sk_c5) != sk_c5,
inference(splitLeft,[status(thm)],[c_214]) ).
tff(c_340,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_335,c_215]) ).
tff(c_386,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_362,c_340]) ).
tff(c_387,plain,
! [X2_6,X4_8,X1_9] :
( ( multiply(sk_c7,sk_c5) != sk_c5 )
| ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != sk_c7 )
| ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c5 )
| ( multiply(X1_9,sk_c5) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_8701,plain,
! [X2_6,X4_8,X1_9] :
( ( inverse(X2_6) != identity )
| ( identity != X2_6 )
| ( inverse(X4_8) != identity )
| ( identity != X4_8 )
| ( identity != X1_9 )
| ( inverse(X1_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_624,c_516,c_469,c_624,c_516,c_469,c_2,c_469,c_469,c_624,c_516,c_469,c_516,c_2,c_469,c_387]) ).
tff(c_8703,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8701]) ).
tff(c_388,plain,
inverse(sk_c5) = sk_c5,
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_518,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_516,c_516,c_388]) ).
tff(c_8705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8703,c_518]) ).
tff(c_8706,plain,
! [X4_8,X2_6] :
( ( inverse(X4_8) != identity )
| ( identity != X4_8 )
| ( inverse(X2_6) != identity )
| ( identity != X2_6 ) ),
inference(splitRight,[status(thm)],[c_8701]) ).
tff(c_8708,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8706]) ).
tff(c_8710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8708,c_518]) ).
tff(c_9039,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_8706]) ).
tff(c_9041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9039,c_518]) ).
tff(c_9043,plain,
multiply(sk_c7,sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_32,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_9070,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9043,c_32]) ).
tff(c_9159,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_9156,c_9070]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_9056,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9043,c_30]) ).
tff(c_9060,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9056,c_4]) ).
tff(c_9105,plain,
! [Z_117] : ( multiply(sk_c7,multiply(sk_c4,Z_117)) = multiply(identity,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_9060,c_9084]) ).
tff(c_9258,plain,
! [Z_120] : ( multiply(sk_c7,multiply(sk_c4,Z_120)) = Z_120 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9105]) ).
tff(c_9270,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9159,c_9258]) ).
tff(c_9375,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9365,c_9365,c_9270]) ).
tff(c_9387,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9375]) ).
tff(c_9120,plain,
! [Z_117] : ( multiply(sk_c7,multiply(sk_c2,Z_117)) = multiply(identity,Z_117) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_9084]) ).
tff(c_9234,plain,
! [Z_119] : ( multiply(sk_c7,multiply(sk_c2,Z_119)) = Z_119 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9120]) ).
tff(c_9246,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99,c_9234]) ).
tff(c_9161,plain,
multiply(sk_c7,sk_c3) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9156,c_9043]) ).
tff(c_9250,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_9246,c_9161]) ).
tff(c_9377,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_9365,c_9250]) ).
tff(c_9440,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9387,c_9377]) ).
tff(c_9442,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_9463,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_9442,c_10]) ).
tff(c_9467,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9463,c_4]) ).
tff(c_9457,plain,
multiply(sk_c7,sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_9490,plain,
! [X_124,Y_125,Z_126] : ( multiply(multiply(X_124,Y_125),Z_126) = multiply(X_124,multiply(Y_125,Z_126)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9526,plain,
! [Z_126] : ( multiply(sk_c7,multiply(sk_c2,Z_126)) = multiply(identity,Z_126) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_9490]) ).
tff(c_9559,plain,
! [Z_128] : ( multiply(sk_c7,multiply(sk_c2,Z_128)) = Z_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9526]) ).
tff(c_9571,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99,c_9559]) ).
tff(c_9575,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9457,c_9571]) ).
tff(c_9606,plain,
! [X1_9,X4_8,X2_6] :
( ( multiply(X1_9,sk_c6) != sk_c6 )
| ( inverse(X1_9) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c6 )
| ( inverse(X4_8) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_8,sk_c6)) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9575,c_9575,c_9575,c_9575,c_9463,c_9575,c_9575,c_9575,c_52]) ).
tff(c_9607,plain,
multiply(sk_c6,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_9606]) ).
tff(c_12,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_9485,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9442,c_12]) ).
tff(c_9577,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9575,c_9485]) ).
tff(c_9638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9607,c_9577]) ).
tff(c_9640,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_9606]) ).
tff(c_9529,plain,
! [X_2,Z_126] : ( multiply(inverse(X_2),multiply(X_2,Z_126)) = multiply(identity,Z_126) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9490]) ).
tff(c_9544,plain,
! [X_2,Z_126] : ( multiply(inverse(X_2),multiply(X_2,Z_126)) = Z_126 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9529]) ).
tff(c_9767,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_9640,c_9544]) ).
tff(c_9773,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_9467,c_9463,c_9767]) ).
tff(c_9648,plain,
! [X_129,Z_130] : ( multiply(inverse(X_129),multiply(X_129,Z_130)) = Z_130 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9529]) ).
tff(c_9687,plain,
multiply(inverse(sk_c6),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_9648]) ).
tff(c_9702,plain,
multiply(sk_c5,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9463,c_9687]) ).
tff(c_9776,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_9773,c_9702]) ).
tff(c_9780,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9776]) ).
tff(c_9581,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_9575,c_9442]) ).
tff(c_9873,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9780,c_9581]) ).
tff(c_9874,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_9879,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9874,c_4]) ).
tff(c_9908,plain,
! [X_132,Y_133,Z_134] : ( multiply(multiply(X_132,Y_133),Z_134) = multiply(X_132,multiply(Y_133,Z_134)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_9938,plain,
! [Z_134] : ( multiply(sk_c6,multiply(sk_c1,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_9908]) ).
tff(c_9957,plain,
! [Z_134] : ( multiply(sk_c6,multiply(sk_c1,Z_134)) = Z_134 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9938]) ).
tff(c_9929,plain,
! [Z_134] : ( multiply(sk_c5,multiply(sk_c6,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_9879,c_9908]) ).
tff(c_10083,plain,
! [Z_139] : ( multiply(sk_c5,multiply(sk_c6,Z_139)) = Z_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9929]) ).
tff(c_10147,plain,
! [Z_140] : ( multiply(sk_c5,Z_140) = multiply(sk_c1,Z_140) ),
inference(superposition,[status(thm),theory(equality)],[c_9957,c_10083]) ).
tff(c_10192,plain,
multiply(sk_c1,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9879,c_10147]) ).
tff(c_10251,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_10192,c_9442]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_9892,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_9442,c_16]) ).
tff(c_9441,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_9446,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_9441,c_4]) ).
tff(c_9932,plain,
! [Z_134] : ( multiply(sk_c7,multiply(sk_c4,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_9446,c_9908]) ).
tff(c_10042,plain,
! [Z_138] : ( multiply(sk_c7,multiply(sk_c4,Z_138)) = Z_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9932]) ).
tff(c_10057,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_9892,c_10042]) ).
tff(c_10104,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_10083]) ).
tff(c_9941,plain,
! [Z_134] : ( multiply(sk_c7,multiply(sk_c2,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_9908]) ).
tff(c_9974,plain,
! [Z_136] : ( multiply(sk_c7,multiply(sk_c2,Z_136)) = Z_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9941]) ).
tff(c_9986,plain,
multiply(sk_c7,sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_99,c_9974]) ).
tff(c_9944,plain,
! [X_2,Z_134] : ( multiply(inverse(X_2),multiply(X_2,Z_134)) = multiply(identity,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9908]) ).
tff(c_10410,plain,
! [X_144,Z_145] : ( multiply(inverse(X_144),multiply(X_144,Z_145)) = Z_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9944]) ).
tff(c_10488,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_9986,c_10410]) ).
tff(c_10555,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10488]) ).
tff(c_9950,plain,
! [Z_134] : ( multiply(sk_c6,multiply(sk_c7,Z_134)) = multiply(sk_c5,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_9908]) ).
tff(c_10019,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_9986,c_9950]) ).
tff(c_10025,plain,
multiply(sk_c5,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10019]) ).
tff(c_10568,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10555,c_10025]) ).
tff(c_10574,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_10104,c_10568]) ).
tff(c_10107,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_10083]) ).
tff(c_10586,plain,
multiply(sk_c1,sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10574,c_10574,c_10107]) ).
tff(c_9875,plain,
multiply(sk_c7,sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c3) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_9899,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_9875,c_28]) ).
tff(c_9923,plain,
! [Z_134] : ( multiply(sk_c7,multiply(sk_c5,Z_134)) = multiply(sk_c6,Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_9899,c_9908]) ).
tff(c_10639,plain,
! [Z_134] : ( multiply(sk_c7,multiply(sk_c1,Z_134)) = multiply(sk_c6,Z_134) ),
inference(demodulation,[status(thm),theory(equality)],[c_10574,c_9923]) ).
tff(c_10754,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_10586,c_10639]) ).
tff(c_10766,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10057,c_85,c_10754]) ).
tff(c_9990,plain,
! [Z_137] : ( multiply(sk_c6,multiply(sk_c7,Z_137)) = multiply(sk_c5,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_9908]) ).
tff(c_10005,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_9899,c_9990]) ).
tff(c_10126,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10107,c_10005]) ).
tff(c_10781,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10766,c_10766,c_10126]) ).
tff(c_10791,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10781]) ).
tff(c_10793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10251,c_10791]) ).
tff(c_10795,plain,
multiply(sk_c2,sk_c7) != sk_c3,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_10822,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_10795,c_34]) ).
tff(c_10826,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10822,c_4]) ).
tff(c_11032,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_10921,c_10826]) ).
tff(c_11038,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10921,c_8]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_10844,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_10795,c_40]) ).
tff(c_11030,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_10921,c_10844]) ).
tff(c_10794,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_10799,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_10794,c_4]) ).
tff(c_10879,plain,
! [Z_150] : ( multiply(sk_c7,multiply(sk_c4,Z_150)) = multiply(identity,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_10799,c_10849]) ).
tff(c_11164,plain,
! [Z_155] : ( multiply(sk_c7,multiply(sk_c4,Z_155)) = Z_155 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10879]) ).
tff(c_11179,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11030,c_11164]) ).
tff(c_10894,plain,
! [Z_150] : ( multiply(sk_c6,multiply(sk_c7,Z_150)) = multiply(sk_c5,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_10849]) ).
tff(c_11112,plain,
! [Z_150] : ( multiply(sk_c5,multiply(sk_c7,Z_150)) = multiply(sk_c5,Z_150) ),
inference(demodulation,[status(thm),theory(equality)],[c_10921,c_10894]) ).
tff(c_11186,plain,
multiply(sk_c5,sk_c7) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_11179,c_11112]) ).
tff(c_11192,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11032,c_11038,c_11186]) ).
tff(c_10811,plain,
multiply(sk_c7,sk_c3) = sk_c6,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_11035,plain,
multiply(sk_c7,sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10921,c_10811]) ).
tff(c_11113,plain,
! [Z_153] : ( multiply(sk_c5,multiply(sk_c7,Z_153)) = multiply(sk_c5,Z_153) ),
inference(demodulation,[status(thm),theory(equality)],[c_10921,c_10894]) ).
tff(c_11128,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c5,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_11035,c_11113]) ).
tff(c_11139,plain,
multiply(sk_c5,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11032,c_11128]) ).
tff(c_11195,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11192,c_11139]) ).
tff(c_10888,plain,
! [X_2,Z_150] : ( multiply(inverse(X_2),multiply(X_2,Z_150)) = multiply(identity,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10849]) ).
tff(c_10903,plain,
! [X_2,Z_150] : ( multiply(inverse(X_2),multiply(X_2,Z_150)) = Z_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10888]) ).
tff(c_11463,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_11195,c_10903]) ).
tff(c_11475,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11463]) ).
tff(c_11037,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_10921,c_81]) ).
tff(c_11205,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11192,c_11037]) ).
tff(c_11283,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11205,c_4]) ).
tff(c_11290,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_11283,c_10903]) ).
tff(c_11302,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11290]) ).
tff(c_11206,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11192,c_10921]) ).
tff(c_10873,plain,
! [Z_150] : ( multiply(sk_c1,multiply(sk_c6,Z_150)) = multiply(sk_c7,Z_150) ),
inference(superposition,[status(thm),theory(equality)],[c_10817,c_10849]) ).
tff(c_11343,plain,
! [Z_158] : ( multiply(sk_c7,Z_158) = Z_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11302,c_2,c_11206,c_10873]) ).
tff(c_11367,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_11343,c_77]) ).
tff(c_11194,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11192,c_11179]) ).
tff(c_11349,plain,
sk_c7 = identity,
inference(superposition,[status(thm),theory(equality)],[c_11343,c_11194]) ).
tff(c_11395,plain,
multiply(sk_c2,identity) != sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_11349,c_10795]) ).
tff(c_11491,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11475,c_2,c_11367,c_11395]) ).
tff(c_11492,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_11497,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11492,c_4]) ).
tff(c_11545,plain,
! [Z_163] : ( multiply(sk_c5,multiply(sk_c6,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_11497,c_11524]) ).
tff(c_11626,plain,
! [Z_167] : ( multiply(sk_c5,multiply(sk_c6,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11545]) ).
tff(c_12206,plain,
! [Z_175] : ( multiply(sk_c5,Z_175) = multiply(sk_c1,Z_175) ),
inference(superposition,[status(thm),theory(equality)],[c_11573,c_11626]) ).
tff(c_12224,plain,
multiply(sk_c1,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12206,c_11497]) ).
tff(c_11493,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12396,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12224,c_11493]) ).
tff(c_11560,plain,
! [X_2,Z_163] : ( multiply(inverse(X_2),multiply(X_2,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11524]) ).
tff(c_12564,plain,
! [X_181,Z_182] : ( multiply(inverse(X_181),multiply(X_181,Z_182)) = Z_182 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11560]) ).
tff(c_12648,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_10811,c_12564]) ).
tff(c_36,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_11508,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10795,c_36]) ).
tff(c_12639,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11508,c_12564]) ).
tff(c_12786,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12648,c_12639]) ).
tff(c_12798,plain,
multiply(sk_c6,sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12786,c_8]) ).
tff(c_11641,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_11626]) ).
tff(c_12212,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_12206,c_11641]) ).
tff(c_11644,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_11626]) ).
tff(c_12215,plain,
multiply(sk_c1,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12206,c_11644]) ).
tff(c_11638,plain,
! [Z_163] : ( multiply(sk_c5,Z_163) = multiply(sk_c1,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_11573,c_11626]) ).
tff(c_11566,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c7,Z_163)) = multiply(sk_c5,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_11524]) ).
tff(c_12409,plain,
! [Z_178] : ( multiply(sk_c6,multiply(sk_c7,Z_178)) = multiply(sk_c1,Z_178) ),
inference(demodulation,[status(thm),theory(equality)],[c_11638,c_11566]) ).
tff(c_12433,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_11508,c_12409]) ).
tff(c_12446,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12215,c_12433]) ).
tff(c_12796,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12786,c_11497]) ).
tff(c_11548,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c3,Z_163)) = multiply(sk_c6,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_10811,c_11524]) ).
tff(c_12841,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_12796,c_11548]) ).
tff(c_12847,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12446,c_12841]) ).
tff(c_12408,plain,
! [Z_163] : ( multiply(sk_c6,multiply(sk_c7,Z_163)) = multiply(sk_c1,Z_163) ),
inference(demodulation,[status(thm),theory(equality)],[c_11638,c_11566]) ).
tff(c_12887,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c1,identity),
inference(superposition,[status(thm),theory(equality)],[c_12847,c_12408]) ).
tff(c_12894,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12798,c_12212,c_12887]) ).
tff(c_11513,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11493,c_16]) ).
tff(c_11551,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c4,Z_163)) = multiply(identity,Z_163) ),
inference(superposition,[status(thm),theory(equality)],[c_10799,c_11524]) ).
tff(c_11603,plain,
! [Z_166] : ( multiply(sk_c7,multiply(sk_c4,Z_166)) = Z_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11551]) ).
tff(c_11615,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11513,c_11603]) ).
tff(c_12797,plain,
inverse(sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_12786,c_11492]) ).
tff(c_11575,plain,
! [X_2,Z_163] : ( multiply(inverse(X_2),multiply(X_2,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11560]) ).
tff(c_12821,plain,
multiply(inverse(sk_c6),sk_c3) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12798,c_11575]) ).
tff(c_12830,plain,
multiply(sk_c3,sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12797,c_12821]) ).
tff(c_12857,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_12830,c_11548]) ).
tff(c_12863,plain,
multiply(sk_c6,sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11615,c_12857]) ).
tff(c_12986,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_12894,c_12863]) ).
tff(c_12994,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12986,c_12986,c_12446]) ).
tff(c_13004,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12994]) ).
tff(c_13006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12396,c_13004]) ).
tff(c_13007,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_13012,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13007,c_4]) ).
tff(c_13042,plain,
! [X_186,Y_187,Z_188] : ( multiply(multiply(X_186,Y_187),Z_188) = multiply(X_186,multiply(Y_187,Z_188)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13063,plain,
! [Z_188] : ( multiply(sk_c5,multiply(sk_c6,Z_188)) = multiply(identity,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_13012,c_13042]) ).
tff(c_13804,plain,
! [Z_201] : ( multiply(sk_c5,multiply(sk_c6,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13063]) ).
tff(c_13828,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_13804]) ).
tff(c_13831,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_13804]) ).
tff(c_13031,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_10795,c_36]) ).
tff(c_13118,plain,
! [Z_191] : ( multiply(sk_c6,multiply(sk_c7,Z_191)) = multiply(sk_c5,Z_191) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_13042]) ).
tff(c_13133,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_13031,c_13118]) ).
tff(c_13870,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13831,c_13133]) ).
tff(c_14157,plain,
! [Z_207] : ( multiply(sk_c7,multiply(sk_c5,Z_207)) = multiply(sk_c6,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_13031,c_13042]) ).
tff(c_14194,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_13012,c_14157]) ).
tff(c_14202,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13870,c_14194]) ).
tff(c_13081,plain,
! [Z_188] : ( multiply(sk_c6,multiply(sk_c7,Z_188)) = multiply(sk_c5,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_13042]) ).
tff(c_14210,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,identity),
inference(superposition,[status(thm),theory(equality)],[c_14202,c_13081]) ).
tff(c_14217,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13828,c_8,c_14210]) ).
tff(c_13008,plain,
multiply(sk_c7,sk_c3) != sk_c6,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_13026,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_13008,c_32]) ).
tff(c_13066,plain,
! [Z_188] : ( multiply(sk_c7,multiply(sk_c4,Z_188)) = multiply(identity,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_10799,c_13042]) ).
tff(c_13151,plain,
! [Z_192] : ( multiply(sk_c7,multiply(sk_c4,Z_192)) = Z_192 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13066]) ).
tff(c_13166,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13026,c_13151]) ).
tff(c_14188,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_13831,c_14157]) ).
tff(c_14201,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_14188]) ).
tff(c_14395,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_14217,c_14201]) ).
tff(c_14404,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14395,c_14395,c_13870]) ).
tff(c_14414,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14404]) ).
tff(c_13087,plain,
! [Z_188] : ( multiply(sk_c7,multiply(sk_c4,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13066]) ).
tff(c_13525,plain,
! [Z_196] : ( multiply(sk_c5,multiply(sk_c6,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13063]) ).
tff(c_13552,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_13525]) ).
tff(c_13572,plain,
! [Z_197] : ( multiply(sk_c7,multiply(sk_c5,Z_197)) = multiply(sk_c6,Z_197) ),
inference(superposition,[status(thm),theory(equality)],[c_13031,c_13042]) ).
tff(c_13587,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_13552,c_13572]) ).
tff(c_13603,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_13587]) ).
tff(c_13086,plain,
! [Z_188] : ( multiply(sk_c5,multiply(sk_c6,Z_188)) = Z_188 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13063]) ).
tff(c_13619,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13603,c_13086]) ).
tff(c_13625,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13012,c_13619]) ).
tff(c_13629,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13625,c_13625,c_13552]) ).
tff(c_13640,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13629]) ).
tff(c_13650,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13640,c_13640,c_13166]) ).
tff(c_13660,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13650]) ).
tff(c_13549,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_13525]) ).
tff(c_13630,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13625,c_13549]) ).
tff(c_13641,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13630]) ).
tff(c_13668,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13641,c_81]) ).
tff(c_13700,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13660,c_13668]) ).
tff(c_13200,plain,
! [Z_193] : ( multiply(sk_c5,multiply(sk_c6,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13063]) ).
tff(c_13224,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_85,c_13200]) ).
tff(c_13247,plain,
! [Z_194] : ( multiply(sk_c4,multiply(sk_c6,Z_194)) = multiply(sk_c7,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_13026,c_13042]) ).
tff(c_13274,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c4,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_8,c_13247]) ).
tff(c_13278,plain,
multiply(sk_c4,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_13274]) ).
tff(c_13295,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13278,c_13087]) ).
tff(c_13312,plain,
multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_13295,c_13081]) ).
tff(c_13318,plain,
multiply(sk_c6,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13012,c_13312]) ).
tff(c_13326,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13318,c_13086]) ).
tff(c_13333,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13224,c_13326]) ).
tff(c_13378,plain,
multiply(sk_c1,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13333,c_13012]) ).
tff(c_13198,plain,
! [X1_9,X4_8,X2_6] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13007,c_13031,c_52]) ).
tff(c_13199,plain,
! [X2_6] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_13198]) ).
tff(c_13407,plain,
( ( inverse(sk_c1) != sk_c6 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_13378,c_13199]) ).
tff(c_13417,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_81,c_13407]) ).
tff(c_13060,plain,
! [Z_188] : ( multiply(sk_c4,multiply(sk_c6,Z_188)) = multiply(sk_c7,Z_188) ),
inference(superposition,[status(thm),theory(equality)],[c_13026,c_13042]) ).
tff(c_13323,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c4,identity),
inference(superposition,[status(thm),theory(equality)],[c_13318,c_13060]) ).
tff(c_13332,plain,
multiply(sk_c4,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13031,c_13323]) ).
tff(c_13430,plain,
multiply(sk_c7,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13332,c_13087]) ).
tff(c_13368,plain,
multiply(sk_c7,sk_c6) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13333,c_13295]) ).
tff(c_13494,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13430,c_13368]) ).
tff(c_13227,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_13200]) ).
tff(c_13371,plain,
multiply(sk_c1,sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13333,c_13333,c_13227]) ).
tff(c_13508,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13494,c_13494,c_13371]) ).
tff(c_13520,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13508]) ).
tff(c_13522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13417,c_13520]) ).
tff(c_13523,plain,
! [X4_8,X1_9] :
( ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_13198]) ).
tff(c_13524,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_13523]) ).
tff(c_13675,plain,
! [X1_198] :
( ( multiply(X1_198,sk_c6) != identity )
| ( inverse(X1_198) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13640,c_13640,c_13524]) ).
tff(c_13688,plain,
inverse(inverse(sk_c6)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_13675]) ).
tff(c_13802,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13700,c_13700,c_13660,c_13688]) ).
tff(c_13835,plain,
! [X4_202] :
( ( inverse(X4_202) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_202,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_13523]) ).
tff(c_13842,plain,
( ( inverse(sk_c4) != sk_c7 )
| ( sk_c7 != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13087,c_13835]) ).
tff(c_13863,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_10794,c_13842]) ).
tff(c_14405,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14395,c_13863]) ).
tff(c_14436,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14414,c_14405]) ).
tff(c_14437,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_14442,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14437,c_4]) ).
tff(c_14438,plain,
inverse(sk_c1) != sk_c6,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_14476,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14438,c_24]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_14454,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14438,c_22]) ).
tff(c_14458,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14454,c_4]) ).
tff(c_14491,plain,
! [X_209,Y_210,Z_211] : ( multiply(multiply(X_209,Y_210),Z_211) = multiply(X_209,multiply(Y_210,Z_211)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14512,plain,
! [Z_211] : ( multiply(sk_c7,multiply(sk_c4,Z_211)) = multiply(identity,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_14458,c_14491]) ).
tff(c_14559,plain,
! [Z_213] : ( multiply(sk_c7,multiply(sk_c4,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14512]) ).
tff(c_14574,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14476,c_14559]) ).
tff(c_14515,plain,
! [Z_211] : ( multiply(sk_c5,multiply(sk_c6,Z_211)) = multiply(identity,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_14442,c_14491]) ).
tff(c_14907,plain,
! [Z_222] : ( multiply(sk_c5,multiply(sk_c6,Z_222)) = Z_222 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14515]) ).
tff(c_14931,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_14907]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_14467,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14438,c_20]) ).
tff(c_14509,plain,
! [Z_211] : ( multiply(sk_c7,multiply(sk_c5,Z_211)) = multiply(sk_c6,Z_211) ),
inference(superposition,[status(thm),theory(equality)],[c_14467,c_14491]) ).
tff(c_14939,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_14931,c_14509]) ).
tff(c_14945,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14574,c_14939]) ).
tff(c_14533,plain,
! [Z_211] : ( multiply(sk_c5,multiply(sk_c6,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14515]) ).
tff(c_14960,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14945,c_14533]) ).
tff(c_14966,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14442,c_14960]) ).
tff(c_14969,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14966,c_14966,c_14931]) ).
tff(c_14979,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14969]) ).
tff(c_15052,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14979,c_14979,c_14574]) ).
tff(c_15059,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15052]) ).
tff(c_14977,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14966,c_14437]) ).
tff(c_15074,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15059,c_14977]) ).
tff(c_14991,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14979,c_14979,c_14574]) ).
tff(c_14998,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14991]) ).
tff(c_15013,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14998,c_14977]) ).
tff(c_14632,plain,
! [Z_215] : ( multiply(sk_c5,multiply(sk_c6,Z_215)) = Z_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14515]) ).
tff(c_14653,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_14632]) ).
tff(c_14665,plain,
! [Z_216] : ( multiply(sk_c7,multiply(sk_c5,Z_216)) = multiply(sk_c6,Z_216) ),
inference(superposition,[status(thm),theory(equality)],[c_14467,c_14491]) ).
tff(c_14680,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_14653,c_14665]) ).
tff(c_14693,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14574,c_14680]) ).
tff(c_14708,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14693,c_14533]) ).
tff(c_14714,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14442,c_14708]) ).
tff(c_14718,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14714,c_14714,c_14653]) ).
tff(c_14728,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14718]) ).
tff(c_14738,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14728,c_14728,c_14574]) ).
tff(c_14745,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14738]) ).
tff(c_14725,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14714,c_14437]) ).
tff(c_14775,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14745,c_14725]) ).
tff(c_14614,plain,
! [X1_9,X4_8,X2_6] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14437,c_14467,c_52]) ).
tff(c_14615,plain,
! [X2_6] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_14614]) ).
tff(c_14755,plain,
! [X2_217] :
( ( inverse(X2_217) != sk_c6 )
| ( multiply(X2_217,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14728,c_14615]) ).
tff(c_14768,plain,
inverse(inverse(sk_c6)) != sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_4,c_14755]) ).
tff(c_14865,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14775,c_14775,c_14745,c_14745,c_14768]) ).
tff(c_14866,plain,
! [X4_8,X1_9] :
( ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_14614]) ).
tff(c_14988,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_14866]) ).
tff(c_15032,plain,
! [X1_223] :
( ( multiply(X1_223,identity) != identity )
| ( inverse(X1_223) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14979,c_14998,c_14979,c_14988]) ).
tff(c_15040,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_15032]) ).
tff(c_15048,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15013,c_15013,c_15040]) ).
tff(c_15049,plain,
! [X4_8] :
( ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_14866]) ).
tff(c_15093,plain,
! [X4_224] :
( ( inverse(X4_224) != identity )
| ( multiply(X4_224,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15059,c_14979,c_2,c_14979,c_14979,c_15049]) ).
tff(c_15101,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_15093]) ).
tff(c_15109,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15074,c_15074,c_15101]) ).
tff(c_15111,plain,
inverse(sk_c2) != sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_15159,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_15111,c_44]) ).
tff(c_42,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_15136,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_15111,c_42]) ).
tff(c_15110,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_15150,plain,
multiply(sk_c4,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_15111,c_48]) ).
tff(c_15140,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15136,c_4]) ).
tff(c_15115,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15110,c_4]) ).
tff(c_15172,plain,
! [X_225,Y_226,Z_227] : ( multiply(multiply(X_225,Y_226),Z_227) = multiply(X_225,multiply(Y_226,Z_227)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15199,plain,
! [Z_227] : ( multiply(sk_c7,multiply(sk_c4,Z_227)) = multiply(identity,Z_227) ),
inference(superposition,[status(thm),theory(equality)],[c_15115,c_15172]) ).
tff(c_15255,plain,
! [Z_229] : ( multiply(sk_c7,multiply(sk_c4,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15199]) ).
tff(c_15267,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15150,c_15255]) ).
tff(c_15193,plain,
! [Z_227] : ( multiply(sk_c5,multiply(sk_c6,Z_227)) = multiply(identity,Z_227) ),
inference(superposition,[status(thm),theory(equality)],[c_15140,c_15172]) ).
tff(c_15218,plain,
! [Z_228] : ( multiply(sk_c5,multiply(sk_c6,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15193]) ).
tff(c_15233,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_8,c_15218]) ).
tff(c_15294,plain,
! [Z_231] : ( multiply(sk_c7,multiply(sk_c5,Z_231)) = multiply(sk_c6,Z_231) ),
inference(superposition,[status(thm),theory(equality)],[c_15159,c_15172]) ).
tff(c_15309,plain,
multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_15233,c_15294]) ).
tff(c_15319,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15267,c_15309]) ).
tff(c_15213,plain,
! [Z_227] : ( multiply(sk_c5,multiply(sk_c6,Z_227)) = Z_227 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15193]) ).
tff(c_15323,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15319,c_15213]) ).
tff(c_15329,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15140,c_15323]) ).
tff(c_15334,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_15329,c_15329,c_15233]) ).
tff(c_15342,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15334]) ).
tff(c_15347,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15342,c_15342,c_15267]) ).
tff(c_15353,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15347]) ).
tff(c_15338,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15329,c_15136]) ).
tff(c_15385,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15353,c_15338]) ).
tff(c_15253,plain,
! [X1_9,X4_8,X2_6] :
( ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 )
| ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15136,c_15159,c_52]) ).
tff(c_15254,plain,
! [X2_6] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15253]) ).
tff(c_15370,plain,
! [X2_232] :
( ( inverse(X2_232) != identity )
| ( multiply(X2_232,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15353,c_15342,c_15353,c_15254]) ).
tff(c_15384,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_15370]) ).
tff(c_15402,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15385,c_15384]) ).
tff(c_15403,plain,
! [X4_8,X1_9] :
( ( inverse(X4_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_8,sk_c7)) != sk_c6 )
| ( multiply(X1_9,sk_c6) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_15253]) ).
tff(c_15580,plain,
! [X1_237] :
( ( multiply(X1_237,sk_c6) != sk_c7 )
| ( inverse(X1_237) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_15403]) ).
tff(c_15597,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15150,c_15580]) ).
tff(c_15614,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15110,c_15597]) ).
tff(c_15703,plain,
! [X4_239] :
( ( inverse(X4_239) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_239,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_15403]) ).
tff(c_15729,plain,
( ( inverse(sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_15703]) ).
tff(c_15736,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15159,c_15136,c_15729]) ).
tff(c_15202,plain,
! [X_2,Z_227] : ( multiply(inverse(X_2),multiply(X_2,Z_227)) = multiply(identity,Z_227) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15172]) ).
tff(c_15756,plain,
! [X_240,Z_241] : ( multiply(inverse(X_240),multiply(X_240,Z_241)) = Z_241 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15202]) ).
tff(c_15825,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15159,c_15756]) ).
tff(c_15404,plain,
! [Z_233] : ( multiply(sk_c7,multiply(sk_c4,Z_233)) = Z_233 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15199]) ).
tff(c_15416,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15150,c_15404]) ).
tff(c_15807,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15416,c_15756]) ).
tff(c_15976,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_15825,c_15807]) ).
tff(c_15977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15736,c_15976]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP326-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n012.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 22:15:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 9.67/3.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.67/3.53
% 9.67/3.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.67/3.60
% 9.67/3.60 Inference rules
% 9.67/3.60 ----------------------
% 9.67/3.60 #Ref : 0
% 9.67/3.60 #Sup : 4134
% 9.67/3.60 #Fact : 0
% 9.67/3.60 #Define : 0
% 9.67/3.60 #Split : 29
% 9.67/3.60 #Chain : 0
% 9.67/3.60 #Close : 0
% 9.67/3.60
% 9.67/3.60 Ordering : KBO
% 9.67/3.60
% 9.67/3.60 Simplification rules
% 9.67/3.60 ----------------------
% 9.67/3.60 #Subsume : 27
% 9.67/3.60 #Demod : 7353
% 9.67/3.60 #Tautology : 3045
% 9.67/3.60 #SimpNegUnit : 41
% 9.67/3.60 #BackRed : 437
% 9.67/3.60
% 9.67/3.60 #Partial instantiations: 0
% 9.67/3.60 #Strategies tried : 1
% 9.67/3.60
% 9.67/3.60 Timing (in seconds)
% 9.67/3.60 ----------------------
% 9.67/3.60 Preprocessing : 0.48
% 9.67/3.60 Parsing : 0.20
% 9.67/3.60 CNF conversion : 0.02
% 9.67/3.60 Main loop : 1.96
% 9.67/3.60 Inferencing : 0.62
% 9.67/3.60 Reduction : 0.86
% 9.67/3.60 Demodulation : 0.73
% 9.67/3.60 BG Simplification : 0.06
% 9.67/3.60 Subsumption : 0.25
% 9.67/3.60 Abstraction : 0.10
% 9.67/3.60 MUC search : 0.00
% 9.67/3.60 Cooper : 0.00
% 9.67/3.60 Total : 2.60
% 9.67/3.60 Index Insertion : 0.00
% 9.67/3.60 Index Deletion : 0.00
% 9.67/3.60 Index Matching : 0.00
% 9.67/3.60 BG Taut test : 0.00
%------------------------------------------------------------------------------