TSTP Solution File: GRP300-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP300-1 : 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 : n019.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 10:40:50 EDT 2023
% Result : Unsatisfiable 24.90s 13.41s
% Output : CNFRefutation 25.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 32
% Syntax : Number of formulae : 299 ( 230 unt; 9 typ; 0 def)
% Number of atoms : 418 ( 402 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 259 ( 131 ~; 128 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Maximal term depth : 3 ( 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 125 (; 125 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > 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_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_80,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c4 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( inverse(sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c6) = sk_c4 ) ),
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_164,axiom,
! [X2,X1,X3] :
( ( multiply(sk_c6,sk_c5) != sk_c4 )
| ( multiply(X2,sk_c6) != sk_c5 )
| ( inverse(X2) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c5 )
| ( multiply(sk_c5,sk_c4) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c5 )
| ( inverse(X1) != sk_c6 )
| ( inverse(sk_c6) != sk_c4 )
| ( multiply(X3,sk_c4) != sk_c5 )
| ( inverse(X3) != sk_c4 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c4,sk_c6) = sk_c5 )
| ( inverse(sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c4,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c5,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c4 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c4 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c4 )
| ( inverse(sk_c6) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c4 )
| ( multiply(sk_c5,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c4 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c5,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(c_18,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c6,sk_c5) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_87,plain,
multiply(sk_c6,sk_c5) = sk_c4,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_26,plain,
( ( inverse(sk_c6) = sk_c4 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_93,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_38,plain,
( ( inverse(sk_c6) = sk_c4 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c6,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_77,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_120,plain,
! [X_11,Y_12,Z_13] : ( multiply(multiply(X_11,Y_12),Z_13) = multiply(X_11,multiply(Y_12,Z_13)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_144,plain,
! [Z_13] : ( multiply(sk_c6,multiply(sk_c1,Z_13)) = multiply(identity,Z_13) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_120]) ).
tff(c_158,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c1,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144]) ).
tff(c_170,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_93,c_158]) ).
tff(c_174,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_87,c_170]) ).
tff(c_180,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_73]) ).
tff(c_188,plain,
multiply(sk_c4,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_180,c_4]) ).
tff(c_147,plain,
! [X_2,Z_13] : ( multiply(inverse(X_2),multiply(X_2,Z_13)) = multiply(identity,Z_13) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_120]) ).
tff(c_235,plain,
! [X_15,Z_16] : ( multiply(inverse(X_15),multiply(X_15,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_262,plain,
multiply(inverse(sk_c4),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_188,c_235]) ).
tff(c_56,plain,
! [X3_8,X1_7,X2_6] :
( ( inverse(X3_8) != sk_c4 )
| ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(sk_c6) != sk_c4 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c5 )
| ( multiply(sk_c5,sk_c4) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c5 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_192,plain,
! [X3_8,X1_7,X2_6] :
( ( inverse(X3_8) != sk_c4 )
| ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(sk_c4) != sk_c4 )
| ( inverse(X1_7) != sk_c4 )
| ( multiply(X1_7,sk_c4) != sk_c5 )
| ( multiply(sk_c5,sk_c4) != sk_c4 )
| ( multiply(sk_c4,sk_c4) != sk_c5 )
| ( inverse(X2_6) != sk_c4 )
| ( multiply(X2_6,sk_c4) != sk_c5 )
| ( multiply(sk_c4,sk_c5) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174,c_174,c_174,c_174,c_174,c_174,c_174,c_174,c_56]) ).
tff(c_193,plain,
multiply(sk_c4,sk_c5) != sk_c4,
inference(splitLeft,[status(thm)],[c_192]) ).
tff(c_178,plain,
multiply(sk_c4,sk_c5) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_87]) ).
tff(c_201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193,c_178]) ).
tff(c_203,plain,
multiply(sk_c4,sk_c5) = sk_c4,
inference(splitRight,[status(thm)],[c_192]) ).
tff(c_259,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_203,c_235]) ).
tff(c_279,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_259]) ).
tff(c_50,plain,
( ( inverse(sk_c6) = sk_c4 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_98,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_176,plain,
multiply(sk_c4,sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_98]) ).
tff(c_253,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_176,c_235]) ).
tff(c_359,plain,
multiply(inverse(sk_c4),identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_279,c_253]) ).
tff(c_371,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_359]) ).
tff(c_388,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_371,c_180]) ).
tff(c_422,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_388,c_4]) ).
tff(c_202,plain,
! [X2_6,X1_7,X3_8] :
( ( multiply(sk_c4,sk_c4) != sk_c5 )
| ( multiply(sk_c5,sk_c4) != sk_c4 )
| ( inverse(sk_c4) != sk_c4 )
| ( inverse(X2_6) != sk_c4 )
| ( multiply(X2_6,sk_c4) != sk_c5 )
| ( inverse(X1_7) != sk_c4 )
| ( multiply(X1_7,sk_c4) != sk_c5 )
| ( inverse(X3_8) != sk_c4 )
| ( multiply(X3_8,sk_c4) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_192]) ).
tff(c_7840,plain,
! [X2_6,X1_7,X3_8] :
( ( inverse(X2_6) != sk_c1 )
| ( multiply(X2_6,sk_c1) != identity )
| ( inverse(X1_7) != sk_c1 )
| ( multiply(X1_7,sk_c1) != identity )
| ( inverse(X3_8) != sk_c1 )
| ( multiply(X3_8,sk_c1) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371,c_279,c_371,c_371,c_279,c_371,c_371,c_279,c_371,c_388,c_371,c_371,c_2,c_279,c_422,c_371,c_371,c_279,c_202]) ).
tff(c_7842,plain,
! [X3_100] :
( ( inverse(X3_100) != sk_c1 )
| ( multiply(X3_100,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_7840]) ).
tff(c_7870,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_422,c_7842]) ).
tff(c_7891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7870]) ).
tff(c_7892,plain,
! [X1_7,X2_6] :
( ( inverse(X1_7) != sk_c1 )
| ( multiply(X1_7,sk_c1) != identity )
| ( inverse(X2_6) != sk_c1 )
| ( multiply(X2_6,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_7840]) ).
tff(c_68259,plain,
! [X2_316] :
( ( inverse(X2_316) != sk_c1 )
| ( multiply(X2_316,sk_c1) != identity ) ),
inference(splitLeft,[status(thm)],[c_7892]) ).
tff(c_68321,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_422,c_68259]) ).
tff(c_68349,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_68321]) ).
tff(c_68351,plain,
! [X1_317] :
( ( inverse(X1_317) != sk_c1 )
| ( multiply(X1_317,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_7892]) ).
tff(c_68413,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_422,c_68351]) ).
tff(c_68441,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_68413]) ).
tff(c_68442,plain,
inverse(sk_c6) = sk_c4,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_68448,plain,
multiply(sk_c4,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68442,c_4]) ).
tff(c_68443,plain,
multiply(sk_c4,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_68452,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_68448,c_68443]) ).
tff(c_68512,plain,
! [X_318,Y_319,Z_320] : ( multiply(multiply(X_318,Y_319),Z_320) = multiply(X_318,multiply(Y_319,Z_320)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_68551,plain,
! [Z_320] : ( multiply(sk_c6,multiply(sk_c1,Z_320)) = multiply(identity,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_68512]) ).
tff(c_68568,plain,
! [Z_321] : ( multiply(sk_c6,multiply(sk_c1,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68551]) ).
tff(c_68580,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_93,c_68568]) ).
tff(c_68584,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_87,c_68580]) ).
tff(c_68600,plain,
! [X3_8,X1_7,X2_6] :
( ( inverse(X3_8) != sk_c4 )
| ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(sk_c4) != sk_c4 )
| ( inverse(X1_7) != sk_c4 )
| ( multiply(X1_7,sk_c4) != sk_c5 )
| ( multiply(sk_c5,sk_c4) != sk_c4 )
| ( multiply(sk_c4,sk_c4) != sk_c5 )
| ( inverse(X2_6) != sk_c4 )
| ( multiply(X2_6,sk_c4) != sk_c5 )
| ( multiply(sk_c4,sk_c5) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68584,c_68584,c_68584,c_68584,c_68584,c_68584,c_68584,c_68584,c_56]) ).
tff(c_68601,plain,
multiply(sk_c4,sk_c5) != sk_c4,
inference(splitLeft,[status(thm)],[c_68600]) ).
tff(c_68595,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_68584,c_73]) ).
tff(c_68592,plain,
multiply(sk_c1,sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_68584,c_93]) ).
tff(c_68554,plain,
! [X_2,Z_320] : ( multiply(inverse(X_2),multiply(X_2,Z_320)) = multiply(identity,Z_320) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_68512]) ).
tff(c_68660,plain,
! [X_322,Z_323] : ( multiply(inverse(X_322),multiply(X_322,Z_323)) = Z_323 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68554]) ).
tff(c_68678,plain,
multiply(inverse(sk_c1),sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_68592,c_68660]) ).
tff(c_68721,plain,
multiply(sk_c4,sk_c5) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_68595,c_68678]) ).
tff(c_68723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68601,c_68721]) ).
tff(c_68725,plain,
multiply(sk_c4,sk_c5) = sk_c4,
inference(splitRight,[status(thm)],[c_68600]) ).
tff(c_68785,plain,
! [X_324,Z_325] : ( multiply(inverse(X_324),multiply(X_324,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68554]) ).
tff(c_68806,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_68725,c_68785]) ).
tff(c_68847,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68806]) ).
tff(c_68849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68452,c_68847]) ).
tff(c_68850,plain,
inverse(sk_c6) = sk_c4,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_68855,plain,
multiply(sk_c4,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68850,c_4]) ).
tff(c_54,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_68879,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( sk_c5 = identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68855,c_54]) ).
tff(c_68880,plain,
sk_c5 = identity,
inference(splitLeft,[status(thm)],[c_68879]) ).
tff(c_68851,plain,
multiply(sk_c1,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_68881,plain,
multiply(sk_c1,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_68880,c_68851]) ).
tff(c_20,plain,
( ( multiply(sk_c5,sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_68922,plain,
( ( sk_c6 = sk_c4 )
| ( multiply(sk_c1,sk_c6) = identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68880,c_2,c_68880,c_20]) ).
tff(c_68923,plain,
sk_c6 = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_68881,c_68922]) ).
tff(c_24,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_68866,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_68851,c_24]) ).
tff(c_68870,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_68866,c_4]) ).
tff(c_68927,plain,
multiply(sk_c4,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68923,c_68870]) ).
tff(c_68929,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68923,c_68855]) ).
tff(c_68983,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_68998,plain,
! [Z_328] : ( multiply(sk_c4,multiply(sk_c4,Z_328)) = multiply(identity,Z_328) ),
inference(superposition,[status(thm),theory(equality)],[c_68929,c_68983]) ).
tff(c_69285,plain,
! [Z_333] : ( multiply(sk_c4,multiply(sk_c4,Z_333)) = Z_333 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_68998]) ).
tff(c_69309,plain,
multiply(sk_c4,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_68927,c_69285]) ).
tff(c_68882,plain,
multiply(sk_c6,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_68880,c_87]) ).
tff(c_68926,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_68923,c_68882]) ).
tff(c_69323,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_69309,c_68926]) ).
tff(c_69336,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_69323,c_69309]) ).
tff(c_68930,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_68923,c_68850]) ).
tff(c_69344,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_69323,c_69323,c_68930]) ).
tff(c_68932,plain,
inverse(sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_68923,c_73]) ).
tff(c_69343,plain,
inverse(sk_c1) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_69323,c_68932]) ).
tff(c_69361,plain,
multiply(sk_c2,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69343,c_4]) ).
tff(c_69019,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_68983]) ).
tff(c_69034,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_69019]) ).
tff(c_69484,plain,
multiply(inverse(sk_c2),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_69361,c_69034]) ).
tff(c_69490,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_69336,c_69344,c_69484]) ).
tff(c_68931,plain,
multiply(sk_c4,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_68923,c_77]) ).
tff(c_69342,plain,
multiply(sk_c2,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69323,c_68931]) ).
tff(c_69565,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69490,c_69342]) ).
tff(c_68925,plain,
multiply(sk_c1,sk_c4) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_68923,c_68881]) ).
tff(c_69339,plain,
multiply(sk_c1,sk_c2) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_69323,c_68925]) ).
tff(c_69495,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_69490,c_69339]) ).
tff(c_69595,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_69565,c_69495]) ).
tff(c_69597,plain,
sk_c5 != identity,
inference(splitRight,[status(thm)],[c_68879]) ).
tff(c_22,plain,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_69620,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_68851,c_22]) ).
tff(c_69638,plain,
! [X_337,Y_338,Z_339] : ( multiply(multiply(X_337,Y_338),Z_339) = multiply(X_337,multiply(Y_338,Z_339)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_69677,plain,
! [X_2,Z_339] : ( multiply(inverse(X_2),multiply(X_2,Z_339)) = multiply(identity,Z_339) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69638]) ).
tff(c_69755,plain,
! [X_342,Z_343] : ( multiply(inverse(X_342),multiply(X_342,Z_343)) = Z_343 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69677]) ).
tff(c_69791,plain,
multiply(inverse(sk_c2),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_69620,c_69755]) ).
tff(c_69832,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_87,c_68866,c_69791]) ).
tff(c_69845,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69832,c_68855]) ).
tff(c_69668,plain,
! [Z_339] : ( multiply(sk_c4,multiply(sk_c6,Z_339)) = multiply(identity,Z_339) ),
inference(superposition,[status(thm),theory(equality)],[c_68855,c_69638]) ).
tff(c_69706,plain,
! [Z_341] : ( multiply(sk_c4,multiply(sk_c6,Z_341)) = Z_341 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69668]) ).
tff(c_69724,plain,
multiply(sk_c4,sk_c4) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_87,c_69706]) ).
tff(c_69917,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69845,c_69724]) ).
tff(c_69919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69597,c_69917]) ).
tff(c_69921,plain,
multiply(sk_c6,sk_c5) != sk_c4,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_10,plain,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_70396,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_69921,c_10]) ).
tff(c_12,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_70366,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_69921,c_12]) ).
tff(c_70370,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70366,c_4]) ).
tff(c_70410,plain,
! [X_354,Y_355,Z_356] : ( multiply(multiply(X_354,Y_355),Z_356) = multiply(X_354,multiply(Y_355,Z_356)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_70434,plain,
! [Z_356] : ( multiply(sk_c6,multiply(sk_c2,Z_356)) = multiply(identity,Z_356) ),
inference(superposition,[status(thm),theory(equality)],[c_70370,c_70410]) ).
tff(c_70460,plain,
! [Z_357] : ( multiply(sk_c6,multiply(sk_c2,Z_357)) = Z_357 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70434]) ).
tff(c_70472,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_70396,c_70460]) ).
tff(c_70478,plain,
sk_c6 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70472,c_69921]) ).
tff(c_14,plain,
( ( inverse(sk_c6) = sk_c4 )
| ( multiply(sk_c6,sk_c5) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_69957,plain,
inverse(sk_c6) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_69921,c_14]) ).
tff(c_69961,plain,
multiply(sk_c4,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69957,c_4]) ).
tff(c_69950,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_69965,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69961,c_69950]) ).
tff(c_69971,plain,
multiply(sk_c6,identity) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_69965,c_69921]) ).
tff(c_8,plain,
( ( multiply(sk_c5,sk_c4) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_70003,plain,
( ( sk_c6 = sk_c4 )
| ( multiply(sk_c6,identity) = sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69965,c_2,c_69965,c_8]) ).
tff(c_70004,plain,
sk_c6 = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_69971,c_70003]) ).
tff(c_70009,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70004,c_69957]) ).
tff(c_70073,plain,
! [X3_8,X1_7,X2_6] :
( ( inverse(X3_8) != sk_c4 )
| ( multiply(X3_8,sk_c4) != identity )
| ( inverse(X1_7) != sk_c4 )
| ( multiply(X1_7,sk_c4) != identity )
| ( multiply(sk_c4,sk_c4) != identity )
| ( inverse(X2_6) != sk_c4 )
| ( multiply(X2_6,sk_c4) != identity )
| ( multiply(sk_c4,identity) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70004,c_69965,c_70004,c_69965,c_70004,c_70004,c_69965,c_70004,c_2,c_69965,c_70004,c_69965,c_70004,c_70009,c_70004,c_69965,c_56]) ).
tff(c_70074,plain,
multiply(sk_c4,identity) != sk_c4,
inference(splitLeft,[status(thm)],[c_70073]) ).
tff(c_16,plain,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c4 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_69992,plain,
( ( multiply(sk_c3,sk_c4) = identity )
| ( multiply(sk_c6,identity) = sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69965,c_69965,c_16]) ).
tff(c_69993,plain,
multiply(sk_c3,sk_c4) = identity,
inference(negUnitSimplification,[status(thm)],[c_69971,c_69992]) ).
tff(c_69920,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_69925,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69920,c_4]) ).
tff(c_70018,plain,
! [X_345,Y_346,Z_347] : ( multiply(multiply(X_345,Y_346),Z_347) = multiply(X_345,multiply(Y_346,Z_347)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_70036,plain,
! [Z_347] : ( multiply(sk_c4,multiply(sk_c3,Z_347)) = multiply(identity,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_69925,c_70018]) ).
tff(c_70118,plain,
! [Z_348] : ( multiply(sk_c4,multiply(sk_c3,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70036]) ).
tff(c_70130,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_69993,c_70118]) ).
tff(c_70135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70074,c_70130]) ).
tff(c_70137,plain,
multiply(sk_c4,identity) = sk_c4,
inference(splitRight,[status(thm)],[c_70073]) ).
tff(c_70007,plain,
multiply(sk_c4,identity) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70004,c_69971]) ).
tff(c_70163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70137,c_70007]) ).
tff(c_70164,plain,
inverse(sk_c6) = sk_c4,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_70169,plain,
multiply(sk_c4,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70164,c_4]) ).
tff(c_70165,plain,
multiply(sk_c4,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_70173,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_70169,c_70165]) ).
tff(c_69933,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_70215,plain,
! [X_349,Y_350,Z_351] : ( multiply(multiply(X_349,Y_350),Z_351) = multiply(X_349,multiply(Y_350,Z_351)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_70239,plain,
! [Z_351] : ( multiply(sk_c4,multiply(sk_c6,Z_351)) = multiply(identity,Z_351) ),
inference(superposition,[status(thm),theory(equality)],[c_70169,c_70215]) ).
tff(c_70268,plain,
! [Z_352] : ( multiply(sk_c4,multiply(sk_c6,Z_352)) = Z_352 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70239]) ).
tff(c_70283,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_70268]) ).
tff(c_69934,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_69921,c_12]) ).
tff(c_69938,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69934,c_4]) ).
tff(c_70280,plain,
multiply(sk_c4,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_69938,c_70268]) ).
tff(c_70297,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_70283,c_70280]) ).
tff(c_70242,plain,
! [Z_351] : ( multiply(sk_c6,multiply(sk_c2,Z_351)) = multiply(identity,Z_351) ),
inference(superposition,[status(thm),theory(equality)],[c_69938,c_70215]) ).
tff(c_70263,plain,
! [Z_351] : ( multiply(sk_c6,multiply(sk_c2,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70242]) ).
tff(c_70317,plain,
! [Z_353] : ( multiply(sk_c6,multiply(sk_c1,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_70297,c_70263]) ).
tff(c_70332,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_69933,c_70317]) ).
tff(c_70262,plain,
! [Z_351] : ( multiply(sk_c4,multiply(sk_c6,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70239]) ).
tff(c_70340,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_70332,c_70262]) ).
tff(c_70346,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70169,c_70340]) ).
tff(c_70348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70173,c_70346]) ).
tff(c_70350,plain,
multiply(sk_c1,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_70386,plain,
multiply(sk_c3,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_70350,c_28]) ).
tff(c_70440,plain,
! [Z_356] : ( multiply(sk_c4,multiply(sk_c3,Z_356)) = multiply(identity,Z_356) ),
inference(superposition,[status(thm),theory(equality)],[c_69925,c_70410]) ).
tff(c_70499,plain,
! [Z_359] : ( multiply(sk_c4,multiply(sk_c3,Z_359)) = Z_359 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70440]) ).
tff(c_70511,plain,
multiply(sk_c4,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_70386,c_70499]) ).
tff(c_70446,plain,
! [X_2,Z_356] : ( multiply(inverse(X_2),multiply(X_2,Z_356)) = multiply(identity,Z_356) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_70410]) ).
tff(c_70522,plain,
! [X_360,Z_361] : ( multiply(inverse(X_360),multiply(X_360,Z_361)) = Z_361 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70446]) ).
tff(c_70540,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_70511,c_70522]) ).
tff(c_70598,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70540]) ).
tff(c_70391,plain,
multiply(sk_c5,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_70350,c_20]) ).
tff(c_70612,plain,
multiply(identity,sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_70598,c_70391]) ).
tff(c_70615,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70612]) ).
tff(c_70617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70478,c_70615]) ).
tff(c_70619,plain,
inverse(sk_c1) != sk_c6,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_70674,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_70619,c_34]) ).
tff(c_36,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_70627,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_70619,c_36]) ).
tff(c_70631,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70627,c_4]) ).
tff(c_70688,plain,
! [X_362,Y_363,Z_364] : ( multiply(multiply(X_362,Y_363),Z_364) = multiply(X_362,multiply(Y_363,Z_364)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_70715,plain,
! [Z_364] : ( multiply(sk_c6,multiply(sk_c2,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_70631,c_70688]) ).
tff(c_70757,plain,
! [Z_366] : ( multiply(sk_c6,multiply(sk_c2,Z_366)) = Z_366 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70715]) ).
tff(c_70769,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_70674,c_70757]) ).
tff(c_70618,plain,
inverse(sk_c6) = sk_c4,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_70623,plain,
multiply(sk_c4,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70618,c_4]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_70668,plain,
multiply(sk_c5,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_70619,c_32]) ).
tff(c_70774,plain,
! [X3_8,X1_7,X2_6] :
( ( inverse(X3_8) != sk_c4 )
| ( multiply(X3_8,sk_c4) != sk_c5 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c5 )
| ( sk_c5 != identity )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70623,c_70668,c_70618,c_56]) ).
tff(c_70775,plain,
multiply(sk_c6,sk_c5) != sk_c4,
inference(splitLeft,[status(thm)],[c_70774]) ).
tff(c_70776,plain,
sk_c6 != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70769,c_70775]) ).
tff(c_70718,plain,
! [Z_364] : ( multiply(sk_c4,multiply(sk_c6,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_70623,c_70688]) ).
tff(c_70784,plain,
! [Z_367] : ( multiply(sk_c4,multiply(sk_c6,Z_367)) = Z_367 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70718]) ).
tff(c_70796,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_70769,c_70784]) ).
tff(c_70806,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70623,c_70796]) ).
tff(c_70810,plain,
multiply(identity,sk_c4) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_70806,c_70668]) ).
tff(c_70812,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70810]) ).
tff(c_70814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70776,c_70812]) ).
tff(c_70816,plain,
multiply(sk_c6,sk_c5) = sk_c4,
inference(splitRight,[status(thm)],[c_70774]) ).
tff(c_70824,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70816,c_70769]) ).
tff(c_70833,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70824,c_70618]) ).
tff(c_42,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_70643,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_70619,c_42]) ).
tff(c_70647,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70643,c_4]) ).
tff(c_70721,plain,
! [X_2,Z_364] : ( multiply(inverse(X_2),multiply(X_2,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_70688]) ).
tff(c_70884,plain,
! [X_368,Z_369] : ( multiply(inverse(X_368),multiply(X_368,Z_369)) = Z_369 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70721]) ).
tff(c_70932,plain,
multiply(inverse(sk_c4),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_70647,c_70884]) ).
tff(c_70951,plain,
multiply(sk_c4,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_70833,c_70932]) ).
tff(c_40,plain,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_70661,plain,
multiply(sk_c3,sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_70619,c_40]) ).
tff(c_70712,plain,
! [Z_364] : ( multiply(sk_c4,multiply(sk_c3,Z_364)) = multiply(identity,Z_364) ),
inference(superposition,[status(thm),theory(equality)],[c_70647,c_70688]) ).
tff(c_70734,plain,
! [Z_365] : ( multiply(sk_c4,multiply(sk_c3,Z_365)) = Z_365 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70712]) ).
tff(c_70746,plain,
multiply(sk_c4,sk_c5) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_70661,c_70734]) ).
tff(c_70920,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_70746,c_70884]) ).
tff(c_70948,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70920]) ).
tff(c_70956,plain,
multiply(sk_c3,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70948,c_70661]) ).
tff(c_70732,plain,
! [X_2,Z_364] : ( multiply(inverse(X_2),multiply(X_2,Z_364)) = Z_364 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70721]) ).
tff(c_71014,plain,
multiply(inverse(sk_c3),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_70956,c_70732]) ).
tff(c_71023,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_70951,c_70643,c_71014]) ).
tff(c_70830,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70824,c_70623]) ).
tff(c_70902,plain,
multiply(inverse(sk_c4),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_70830,c_70884]) ).
tff(c_70945,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70833,c_70902]) ).
tff(c_71113,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_71023,c_71023,c_70945]) ).
tff(c_70831,plain,
inverse(sk_c2) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_70824,c_70627]) ).
tff(c_70842,plain,
multiply(sk_c4,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70831,c_4]) ).
tff(c_70911,plain,
multiply(inverse(sk_c4),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_70842,c_70884]) ).
tff(c_70947,plain,
multiply(sk_c4,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_70833,c_70911]) ).
tff(c_71148,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_71113,c_71023,c_70947]) ).
tff(c_71037,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_71023,c_70643]) ).
tff(c_71153,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_71148,c_71148,c_71037]) ).
tff(c_71080,plain,
multiply(sk_c3,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_71037,c_4]) ).
tff(c_71171,plain,
multiply(sk_c2,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_71148,c_71148,c_71080]) ).
tff(c_71158,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_71148,c_71023]) ).
tff(c_71034,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_71023,c_70824]) ).
tff(c_71157,plain,
sk_c6 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_71148,c_71034]) ).
tff(c_70815,plain,
! [X2_6,X1_7,X3_8] :
( ( sk_c5 != identity )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c5 )
| ( inverse(X3_8) != sk_c4 )
| ( multiply(X3_8,sk_c4) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_70774]) ).
tff(c_71270,plain,
! [X2_6,X1_7,X3_8] :
( ( inverse(X2_6) != sk_c2 )
| ( multiply(X2_6,sk_c2) != identity )
| ( inverse(X1_7) != sk_c2 )
| ( multiply(X1_7,sk_c2) != identity )
| ( inverse(X3_8) != sk_c2 )
| ( multiply(X3_8,sk_c2) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71158,c_70948,c_71158,c_71157,c_70948,c_71157,c_71157,c_70948,c_71157,c_70948,c_70815]) ).
tff(c_71800,plain,
! [X3_385] :
( ( inverse(X3_385) != sk_c2 )
| ( multiply(X3_385,sk_c2) != identity ) ),
inference(splitLeft,[status(thm)],[c_71270]) ).
tff(c_71803,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71171,c_71800]) ).
tff(c_71819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71153,c_71803]) ).
tff(c_71820,plain,
! [X1_7,X2_6] :
( ( inverse(X1_7) != sk_c2 )
| ( multiply(X1_7,sk_c2) != identity )
| ( inverse(X2_6) != sk_c2 )
| ( multiply(X2_6,sk_c2) != identity ) ),
inference(splitRight,[status(thm)],[c_71270]) ).
tff(c_117470,plain,
! [X2_619] :
( ( inverse(X2_619) != sk_c2 )
| ( multiply(X2_619,sk_c2) != identity ) ),
inference(splitLeft,[status(thm)],[c_71820]) ).
tff(c_117532,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71171,c_117470]) ).
tff(c_117560,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71153,c_117532]) ).
tff(c_117562,plain,
! [X1_620] :
( ( inverse(X1_620) != sk_c2 )
| ( multiply(X1_620,sk_c2) != identity ) ),
inference(splitRight,[status(thm)],[c_71820]) ).
tff(c_117624,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_71171,c_117562]) ).
tff(c_117652,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71153,c_117624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP300-1 : 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
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 22:08:16 EDT 2023
% 0.15/0.35 % CPUTime :
% 24.90/13.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.00/13.44
% 25.00/13.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.00/13.49
% 25.00/13.49 Inference rules
% 25.00/13.49 ----------------------
% 25.00/13.49 #Ref : 0
% 25.00/13.49 #Sup : 27991
% 25.00/13.49 #Fact : 0
% 25.00/13.50 #Define : 0
% 25.00/13.50 #Split : 17
% 25.00/13.50 #Chain : 0
% 25.00/13.50 #Close : 0
% 25.00/13.50
% 25.00/13.50 Ordering : KBO
% 25.00/13.50
% 25.00/13.50 Simplification rules
% 25.00/13.50 ----------------------
% 25.00/13.50 #Subsume : 8
% 25.00/13.50 #Demod : 102271
% 25.00/13.50 #Tautology : 22995
% 25.00/13.50 #SimpNegUnit : 54
% 25.00/13.50 #BackRed : 209
% 25.00/13.50
% 25.00/13.50 #Partial instantiations: 0
% 25.00/13.50 #Strategies tried : 1
% 25.00/13.50
% 25.00/13.50 Timing (in seconds)
% 25.00/13.50 ----------------------
% 25.00/13.50 Preprocessing : 0.45
% 25.00/13.50 Parsing : 0.19
% 25.00/13.50 CNF conversion : 0.02
% 25.00/13.50 Main loop : 11.96
% 25.00/13.50 Inferencing : 2.17
% 25.00/13.50 Reduction : 8.31
% 25.00/13.50 Demodulation : 7.96
% 25.00/13.50 BG Simplification : 0.16
% 25.00/13.50 Subsumption : 0.93
% 25.00/13.50 Abstraction : 0.54
% 25.00/13.50 MUC search : 0.00
% 25.00/13.50 Cooper : 0.00
% 25.00/13.50 Total : 12.50
% 25.00/13.50 Index Insertion : 0.00
% 25.00/13.50 Index Deletion : 0.00
% 25.00/13.50 Index Matching : 0.00
% 25.00/13.50 BG Taut test : 0.00
%------------------------------------------------------------------------------