TSTP Solution File: GRP299-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP299-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.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 25.86s 14.52s
% Output : CNFRefutation 26.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 36
% Syntax : Number of formulae : 442 ( 373 unt; 10 typ; 0 def)
% Number of atoms : 546 ( 531 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 233 ( 119 ~; 114 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 203 (; 203 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X2,X1,X3,X4] :
( ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X3,X4) != sk_c6 )
| ( inverse(X3) != X4 )
| ( multiply(X4,sk_c7) != sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c7,sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c2,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_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_22506,plain,
! [X_234,Y_235,Z_236] : ( multiply(multiply(X_234,Y_235),Z_236) = multiply(X_234,multiply(Y_235,Z_236)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22539,plain,
! [X_2,Z_236] : ( multiply(inverse(X_2),multiply(X_2,Z_236)) = multiply(identity,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22506]) ).
tff(c_23157,plain,
! [X_245,Z_246] : ( multiply(inverse(X_245),multiply(X_245,Z_246)) = Z_246 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22539]) ).
tff(c_22549,plain,
! [X_2,Z_236] : ( multiply(inverse(X_2),multiply(X_2,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22539]) ).
tff(c_25572,plain,
! [X_282,Z_283] : ( multiply(inverse(inverse(X_282)),Z_283) = multiply(X_282,Z_283) ),
inference(superposition,[status(thm),theory(equality)],[c_23157,c_22549]) ).
tff(c_23217,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23157]) ).
tff(c_25616,plain,
! [X_284] : ( multiply(X_284,identity) = X_284 ),
inference(superposition,[status(thm),theory(equality)],[c_25572,c_23217]) ).
tff(c_23220,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_23157]) ).
tff(c_25634,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_25616,c_23220]) ).
tff(c_25593,plain,
! [X_282] : ( multiply(X_282,inverse(X_282)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_25572,c_4]) ).
tff(c_34,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_77,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_19400,plain,
! [X_171,Y_172,Z_173] : ( multiply(multiply(X_171,Y_172),Z_173) = multiply(X_171,multiply(Y_172,Z_173)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19442,plain,
! [X_2,Z_173] : ( multiply(inverse(X_2),multiply(X_2,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19400]) ).
tff(c_19995,plain,
! [X_185,Z_186] : ( multiply(inverse(X_185),multiply(X_185,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19442]) ).
tff(c_20070,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_19995]) ).
tff(c_22,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_92,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_18907,plain,
! [X_160,Y_161,Z_162] : ( multiply(multiply(X_160,Y_161),Z_162) = multiply(X_160,multiply(Y_161,Z_162)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18946,plain,
! [Z_162] : ( multiply(sk_c7,multiply(sk_c1,Z_162)) = multiply(identity,Z_162) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_18907]) ).
tff(c_18962,plain,
! [Z_163] : ( multiply(sk_c7,multiply(sk_c1,Z_163)) = Z_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18946]) ).
tff(c_18974,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_92,c_18962]) ).
tff(c_10,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_99,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_120,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_144,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_120]) ).
tff(c_158,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_144]) ).
tff(c_170,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_92,c_158]) ).
tff(c_174,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_99,c_170]) ).
tff(c_180,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_73]) ).
tff(c_188,plain,
multiply(sk_c5,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_180,c_4]) ).
tff(c_147,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_120]) ).
tff(c_245,plain,
! [X_17,Z_18] : ( multiply(inverse(X_17),multiply(X_17,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_147]) ).
tff(c_272,plain,
multiply(inverse(sk_c5),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_188,c_245]) ).
tff(c_56,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_192,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c5) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( multiply(sk_c5,sk_c5) != sk_c6 )
| ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
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_c5,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_192]) ).
tff(c_176,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_99]) ).
tff(c_194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193,c_176]) ).
tff(c_196,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_192]) ).
tff(c_269,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_196,c_245]) ).
tff(c_291,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_269]) ).
tff(c_46,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_87,plain,
multiply(sk_c5,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_178,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_87]) ).
tff(c_266,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_178,c_245]) ).
tff(c_376,plain,
multiply(inverse(sk_c5),identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_291,c_266]) ).
tff(c_388,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_376]) ).
tff(c_406,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_180]) ).
tff(c_177,plain,
multiply(sk_c1,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_174,c_92]) ).
tff(c_296,plain,
multiply(sk_c1,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_291,c_177]) ).
tff(c_402,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_296]) ).
tff(c_329,plain,
! [X_19] : ( multiply(inverse(identity),X_19) = X_19 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_245]) ).
tff(c_156,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_147]) ).
tff(c_511,plain,
! [X_22] : ( multiply(inverse(inverse(identity)),X_22) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_329,c_156]) ).
tff(c_532,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_511,c_4]) ).
tff(c_621,plain,
! [X_24,Z_25] : ( multiply(inverse(inverse(X_24)),Z_25) = multiply(X_24,Z_25) ),
inference(superposition,[status(thm),theory(equality)],[c_156,c_245]) ).
tff(c_646,plain,
! [X_24] : ( multiply(X_24,inverse(X_24)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_621,c_4]) ).
tff(c_407,plain,
sk_c7 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_174]) ).
tff(c_138,plain,
! [Z_14] : ( multiply(sk_c1,multiply(sk_c7,Z_14)) = multiply(sk_c6,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_92,c_120]) ).
tff(c_416,plain,
! [Z_14] : ( multiply(sk_c1,multiply(sk_c1,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_407,c_2,c_291,c_138]) ).
tff(c_284,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_245]) ).
tff(c_632,plain,
! [X_24] : ( multiply(X_24,identity) = X_24 ),
inference(superposition,[status(thm),theory(equality)],[c_621,c_284]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_937,plain,
! [X_31,Y_32,Z_33] : ( multiply(inverse(multiply(X_31,Y_32)),multiply(X_31,multiply(Y_32,Z_33))) = Z_33 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_245]) ).
tff(c_985,plain,
! [X_31,X_24] : ( multiply(inverse(multiply(X_31,X_24)),multiply(X_31,identity)) = inverse(X_24) ),
inference(superposition,[status(thm),theory(equality)],[c_646,c_937]) ).
tff(c_1782,plain,
! [X_45,X_46] : ( multiply(inverse(multiply(X_45,X_46)),X_45) = inverse(X_46) ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_985]) ).
tff(c_1896,plain,
! [Z_14] : ( multiply(inverse(Z_14),sk_c1) = inverse(multiply(sk_c1,Z_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_416,c_1782]) ).
tff(c_195,plain,
! [X2_6,X1_7,X3_8] :
( ( multiply(sk_c5,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c5 )
| ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( multiply(inverse(X3_8),sk_c5) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_192]) ).
tff(c_6551,plain,
! [X2_6,X1_7,X3_8] :
( ( inverse(X2_6) != sk_c1 )
| ( multiply(X2_6,sk_c1) != identity )
| ( sk_c1 != X1_7 )
| ( inverse(X1_7) != sk_c1 )
| ( inverse(multiply(sk_c1,X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_646,c_291,c_1896,c_388,c_291,c_388,c_632,c_388,c_291,c_388,c_291,c_388,c_2,c_291,c_402,c_388,c_388,c_291,c_195]) ).
tff(c_6553,plain,
! [X3_95] : ( inverse(multiply(sk_c1,X3_95)) != identity ),
inference(splitLeft,[status(thm)],[c_6551]) ).
tff(c_6577,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_646,c_6553]) ).
tff(c_6592,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_532,c_6577]) ).
tff(c_6593,plain,
! [X2_6,X1_7] :
( ( inverse(X2_6) != sk_c1 )
| ( multiply(X2_6,sk_c1) != identity )
| ( sk_c1 != X1_7 )
| ( inverse(X1_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_6551]) ).
tff(c_18773,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_6593]) ).
tff(c_18775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18773,c_406]) ).
tff(c_18777,plain,
! [X2_159] :
( ( inverse(X2_159) != sk_c1 )
| ( multiply(X2_159,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_6593]) ).
tff(c_18825,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_402,c_18777]) ).
tff(c_18850,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_406,c_18825]) ).
tff(c_18852,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_18978,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18974,c_18852]) ).
tff(c_18949,plain,
! [X_2,Z_162] : ( multiply(inverse(X_2),multiply(X_2,Z_162)) = multiply(identity,Z_162) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18907]) ).
tff(c_19034,plain,
! [X_166,Z_167] : ( multiply(inverse(X_166),multiply(X_166,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18949]) ).
tff(c_19112,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_19034]) ).
tff(c_19064,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18974,c_19034]) ).
tff(c_19117,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19064]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_18898,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_18852,c_8]) ).
tff(c_19168,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19117,c_18898]) ).
tff(c_18960,plain,
! [X_2,Z_162] : ( multiply(inverse(X_2),multiply(X_2,Z_162)) = Z_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18949]) ).
tff(c_19322,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_19168,c_18960]) ).
tff(c_19334,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_19112,c_19322]) ).
tff(c_19336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18978,c_19334]) ).
tff(c_19338,plain,
multiply(sk_c1,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_19381,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_19338,c_26]) ).
tff(c_28,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_19360,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_19338,c_28]) ).
tff(c_19364,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19360,c_4]) ).
tff(c_19427,plain,
! [Z_173] : ( multiply(sk_c4,multiply(sk_c3,Z_173)) = multiply(identity,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_19364,c_19400]) ).
tff(c_19468,plain,
! [Z_175] : ( multiply(sk_c4,multiply(sk_c3,Z_175)) = Z_175 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19427]) ).
tff(c_19480,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_19381,c_19468]) ).
tff(c_20019,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_19480,c_19995]) ).
tff(c_20074,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20019]) ).
tff(c_20,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_19372,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_19338,c_20]) ).
tff(c_20085,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20074,c_19372]) ).
tff(c_19453,plain,
! [X_2,Z_173] : ( multiply(inverse(X_2),multiply(X_2,Z_173)) = Z_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_19442]) ).
tff(c_20182,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20085,c_19453]) ).
tff(c_20194,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20070,c_20182]) ).
tff(c_20227,plain,
multiply(sk_c5,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20194,c_77]) ).
tff(c_19436,plain,
! [Z_173] : ( multiply(sk_c5,multiply(sk_c7,Z_173)) = multiply(sk_c6,Z_173) ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_19400]) ).
tff(c_20349,plain,
! [Z_189] : ( multiply(sk_c5,multiply(sk_c5,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_20194,c_2,c_20074,c_19436]) ).
tff(c_20376,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_20227,c_20349]) ).
tff(c_16,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_19346,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_20086,plain,
multiply(sk_c7,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20074,c_19346]) ).
tff(c_20285,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20194,c_20086]) ).
tff(c_20387,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20376,c_20285]) ).
tff(c_20088,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20074,c_87]) ).
tff(c_20220,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20194,c_20088]) ).
tff(c_20408,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_20387,c_20387,c_20220]) ).
tff(c_20087,plain,
multiply(sk_c1,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20074,c_19338]) ).
tff(c_20219,plain,
multiply(sk_c1,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20194,c_20087]) ).
tff(c_20409,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_20387,c_20219]) ).
tff(c_20545,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20408,c_20409]) ).
tff(c_20547,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_14,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_20590,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_20547,c_14]) ).
tff(c_20546,plain,
inverse(sk_c3) = sk_c4,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_20551,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20546,c_4]) ).
tff(c_20603,plain,
! [X_192,Y_193,Z_194] : ( multiply(multiply(X_192,Y_193),Z_194) = multiply(X_192,multiply(Y_193,Z_194)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20633,plain,
! [Z_194] : ( multiply(sk_c4,multiply(sk_c3,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_20551,c_20603]) ).
tff(c_20691,plain,
! [Z_197] : ( multiply(sk_c4,multiply(sk_c3,Z_197)) = Z_197 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20633]) ).
tff(c_20703,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_20590,c_20691]) ).
tff(c_20642,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = multiply(identity,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_20603]) ).
tff(c_20716,plain,
! [X_198,Z_199] : ( multiply(inverse(X_198),multiply(X_198,Z_199)) = Z_199 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20642]) ).
tff(c_20734,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_20703,c_20716]) ).
tff(c_20792,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_20734]) ).
tff(c_20636,plain,
! [Z_194] : ( multiply(sk_c5,multiply(sk_c7,Z_194)) = multiply(sk_c6,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_20603]) ).
tff(c_20891,plain,
! [Z_201] : ( multiply(sk_c5,multiply(sk_c7,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20792,c_20636]) ).
tff(c_20915,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_20891]) ).
tff(c_20788,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_20716]) ).
tff(c_20577,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_20547,c_8]) ).
tff(c_20802,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20792,c_20577]) ).
tff(c_20653,plain,
! [X_2,Z_194] : ( multiply(inverse(X_2),multiply(X_2,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_20642]) ).
tff(c_20876,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_20802,c_20653]) ).
tff(c_20888,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20788,c_20876]) ).
tff(c_20804,plain,
multiply(sk_c7,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20792,c_20547]) ).
tff(c_20922,plain,
multiply(sk_c5,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20888,c_20804]) ).
tff(c_21218,plain,
sk_c5 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20915,c_20922]) ).
tff(c_19337,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_19342,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_19337,c_4]) ).
tff(c_20912,plain,
multiply(sk_c5,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_19342,c_20891]) ).
tff(c_21161,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_20915,c_20912]) ).
tff(c_24,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_20572,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_19338,c_24]) ).
tff(c_20803,plain,
multiply(sk_c2,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_20792,c_20572]) ).
tff(c_20921,plain,
multiply(sk_c2,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_20888,c_20803]) ).
tff(c_21179,plain,
multiply(sk_c1,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21161,c_20921]) ).
tff(c_20627,plain,
! [Z_194] : ( multiply(sk_c2,multiply(sk_c6,Z_194)) = multiply(sk_c7,Z_194) ),
inference(superposition,[status(thm),theory(equality)],[c_20572,c_20603]) ).
tff(c_21022,plain,
! [Z_194] : ( multiply(sk_c5,Z_194) = multiply(sk_c2,Z_194) ),
inference(demodulation,[status(thm),theory(equality)],[c_20888,c_2,c_20792,c_20627]) ).
tff(c_21165,plain,
multiply(sk_c2,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_20915,c_21022]) ).
tff(c_21221,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_21179,c_21161,c_21165]) ).
tff(c_21222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21218,c_21221]) ).
tff(c_21224,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_50,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_21260,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_21224,c_50]) ).
tff(c_52,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_21237,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_21224,c_52]) ).
tff(c_21241,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21237,c_4]) ).
tff(c_22037,plain,
! [X_224,Y_225,Z_226] : ( multiply(multiply(X_224,Y_225),Z_226) = multiply(X_224,multiply(Y_225,Z_226)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22064,plain,
! [Z_226] : ( multiply(sk_c4,multiply(sk_c3,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_21241,c_22037]) ).
tff(c_22101,plain,
! [Z_228] : ( multiply(sk_c4,multiply(sk_c3,Z_228)) = Z_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22064]) ).
tff(c_22113,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21260,c_22101]) ).
tff(c_22073,plain,
! [X_2,Z_226] : ( multiply(inverse(X_2),multiply(X_2,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_22037]) ).
tff(c_22147,plain,
! [X_230,Z_231] : ( multiply(inverse(X_230),multiply(X_230,Z_231)) = Z_231 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22073]) ).
tff(c_22171,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22113,c_22147]) ).
tff(c_22220,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22171]) ).
tff(c_22227,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22220,c_22113]) ).
tff(c_21579,plain,
! [X_214,Y_215,Z_216] : ( multiply(multiply(X_214,Y_215),Z_216) = multiply(X_214,multiply(Y_215,Z_216)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21618,plain,
! [X_2,Z_216] : ( multiply(inverse(X_2),multiply(X_2,Z_216)) = multiply(identity,Z_216) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21579]) ).
tff(c_21692,plain,
! [X_220,Z_221] : ( multiply(inverse(X_220),multiply(X_220,Z_221)) = Z_221 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21618]) ).
tff(c_21764,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_21692]) ).
tff(c_21609,plain,
! [Z_216] : ( multiply(sk_c4,multiply(sk_c3,Z_216)) = multiply(identity,Z_216) ),
inference(superposition,[status(thm),theory(equality)],[c_21241,c_21579]) ).
tff(c_21669,plain,
! [Z_219] : ( multiply(sk_c4,multiply(sk_c3,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21609]) ).
tff(c_21681,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21260,c_21669]) ).
tff(c_21710,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21681,c_21692]) ).
tff(c_21768,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21710]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_21271,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_21224,c_44]) ).
tff(c_21778,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21768,c_21271]) ).
tff(c_21629,plain,
! [X_2,Z_216] : ( multiply(inverse(X_2),multiply(X_2,Z_216)) = Z_216 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21618]) ).
tff(c_21838,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_21778,c_21629]) ).
tff(c_21850,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21764,c_21838]) ).
tff(c_21291,plain,
! [X_205,Y_206,Z_207] : ( multiply(multiply(X_205,Y_206),Z_207) = multiply(X_205,multiply(Y_206,Z_207)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_21324,plain,
! [Z_207] : ( multiply(sk_c4,multiply(sk_c3,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_21241,c_21291]) ).
tff(c_21346,plain,
! [Z_208] : ( multiply(sk_c4,multiply(sk_c3,Z_208)) = Z_208 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21324]) ).
tff(c_21358,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_21260,c_21346]) ).
tff(c_21333,plain,
! [X_2,Z_207] : ( multiply(inverse(X_2),multiply(X_2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21291]) ).
tff(c_21467,plain,
! [X_212,Z_213] : ( multiply(inverse(X_212),multiply(X_212,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21333]) ).
tff(c_21494,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21358,c_21467]) ).
tff(c_21519,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21494]) ).
tff(c_21266,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_21279,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_21330,plain,
! [Z_207] : ( multiply(sk_c7,multiply(sk_c1,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_21291]) ).
tff(c_21410,plain,
! [Z_211] : ( multiply(sk_c7,multiply(sk_c1,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21330]) ).
tff(c_21422,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_21279,c_21410]) ).
tff(c_21426,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_21266,c_21422]) ).
tff(c_48,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_21285,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_21224,c_48]) ).
tff(c_21223,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_21228,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_21223,c_4]) ).
tff(c_21327,plain,
! [Z_207] : ( multiply(sk_c7,multiply(sk_c2,Z_207)) = multiply(identity,Z_207) ),
inference(superposition,[status(thm),theory(equality)],[c_21228,c_21291]) ).
tff(c_21371,plain,
! [Z_209] : ( multiply(sk_c7,multiply(sk_c2,Z_209)) = Z_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21327]) ).
tff(c_21383,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21285,c_21371]) ).
tff(c_21429,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21426,c_21426,c_21383]) ).
tff(c_21554,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21519,c_21429]) ).
tff(c_21437,plain,
multiply(sk_c5,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_21426,c_21224]) ).
tff(c_21567,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21554,c_21519,c_21437]) ).
tff(c_21568,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_21612,plain,
! [Z_216] : ( multiply(sk_c7,multiply(sk_c2,Z_216)) = multiply(identity,Z_216) ),
inference(superposition,[status(thm),theory(equality)],[c_21228,c_21579]) ).
tff(c_21646,plain,
! [Z_218] : ( multiply(sk_c7,multiply(sk_c2,Z_218)) = Z_218 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21612]) ).
tff(c_21658,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_21568,c_21646]) ).
tff(c_21775,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21768,c_21658]) ).
tff(c_21927,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_21850,c_21850,c_21775]) ).
tff(c_21782,plain,
multiply(sk_c5,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21768,c_21224]) ).
tff(c_21853,plain,
multiply(sk_c5,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_21850,c_21782]) ).
tff(c_22015,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21927,c_21853]) ).
tff(c_22017,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_12,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22024,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22017,c_12]) ).
tff(c_22067,plain,
! [Z_226] : ( multiply(sk_c7,multiply(sk_c2,Z_226)) = multiply(identity,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_21228,c_22037]) ).
tff(c_22124,plain,
! [Z_229] : ( multiply(sk_c7,multiply(sk_c2,Z_229)) = Z_229 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22067]) ).
tff(c_22136,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22024,c_22124]) ).
tff(c_22226,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22220,c_22136]) ).
tff(c_54,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_21255,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_21224,c_54]) ).
tff(c_22061,plain,
! [Z_226] : ( multiply(sk_c4,multiply(sk_c7,Z_226)) = multiply(sk_c6,Z_226) ),
inference(superposition,[status(thm),theory(equality)],[c_21255,c_22037]) ).
tff(c_22358,plain,
! [Z_233] : ( multiply(sk_c4,multiply(sk_c7,Z_233)) = Z_233 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22220,c_22061]) ).
tff(c_22373,plain,
multiply(sk_c4,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22226,c_22358]) ).
tff(c_22389,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22227,c_22373]) ).
tff(c_22016,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_22230,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22220,c_22016]) ).
tff(c_22353,plain,
sk_c7 = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2,c_22230]) ).
tff(c_22412,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22389,c_22353]) ).
tff(c_22229,plain,
multiply(sk_c7,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22220,c_22017]) ).
tff(c_22442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22412,c_22227,c_22389,c_22229]) ).
tff(c_22444,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_40,plain,
( ( inverse(sk_c3) = sk_c4 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_22456,plain,
inverse(sk_c3) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_22444,c_40]) ).
tff(c_22460,plain,
multiply(sk_c4,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22456,c_4]) ).
tff(c_38,plain,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_22477,plain,
multiply(sk_c3,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22444,c_38]) ).
tff(c_22533,plain,
! [Z_236] : ( multiply(sk_c4,multiply(sk_c3,Z_236)) = multiply(identity,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_22460,c_22506]) ).
tff(c_22551,plain,
! [Z_237] : ( multiply(sk_c4,multiply(sk_c3,Z_237)) = Z_237 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22533]) ).
tff(c_22563,plain,
multiply(sk_c4,sk_c6) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_22477,c_22551]) ).
tff(c_23184,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22563,c_23157]) ).
tff(c_23224,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_23184]) ).
tff(c_22527,plain,
! [Z_236] : ( multiply(sk_c3,multiply(sk_c4,Z_236)) = multiply(sk_c6,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_22477,c_22506]) ).
tff(c_25200,plain,
! [Z_278] : ( multiply(sk_c3,multiply(sk_c4,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23224,c_22527]) ).
tff(c_25224,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_22460,c_25200]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_22471,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_22444,c_32]) ).
tff(c_23568,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22471]) ).
tff(c_23639,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23568,c_22549]) ).
tff(c_23651,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23220,c_23639]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_22483,plain,
multiply(sk_c4,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_22444,c_42]) ).
tff(c_23566,plain,
multiply(sk_c4,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22483]) ).
tff(c_25247,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_23566]) ).
tff(c_25199,plain,
! [Z_236] : ( multiply(sk_c3,multiply(sk_c4,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23224,c_22527]) ).
tff(c_25251,plain,
multiply(sk_c3,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_25247,c_25199]) ).
tff(c_25319,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_25224,c_25251]) ).
tff(c_36,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_22488,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_22444,c_36]) ).
tff(c_23565,plain,
multiply(sk_c2,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22488]) ).
tff(c_23654,plain,
multiply(sk_c2,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_23565]) ).
tff(c_25320,plain,
multiply(sk_c2,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_25319,c_23654]) ).
tff(c_23564,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22563]) ).
tff(c_22443,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_23659,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_22443]) ).
tff(c_25325,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_25319,c_23659]) ).
tff(c_25360,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_25325,c_23217]) ).
tff(c_25369,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23564,c_22456,c_25360]) ).
tff(c_25376,plain,
inverse(sk_c3) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_25369,c_22456]) ).
tff(c_25170,plain,
multiply(sk_c5,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23659,c_4]) ).
tff(c_25321,plain,
multiply(sk_c3,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_25319,c_25170]) ).
tff(c_25437,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_25321,c_22549]) ).
tff(c_25446,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_25320,c_25376,c_25437]) ).
tff(c_25327,plain,
sk_c7 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_25319,c_23651]) ).
tff(c_25455,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_25446,c_25327]) ).
tff(c_22524,plain,
! [Z_236] : ( multiply(sk_c4,multiply(sk_c7,Z_236)) = multiply(sk_c6,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_22483,c_22506]) ).
tff(c_25519,plain,
! [Z_236] : ( multiply(sk_c2,multiply(sk_c2,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_25455,c_25369,c_2,c_23224,c_22524]) ).
tff(c_25579,plain,
! [X_282] : ( multiply(X_282,identity) = X_282 ),
inference(superposition,[status(thm),theory(equality)],[c_25572,c_23217]) ).
tff(c_25811,plain,
! [X_287,Y_288,Z_289] : ( multiply(inverse(multiply(X_287,Y_288)),multiply(X_287,multiply(Y_288,Z_289))) = Z_289 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_23157]) ).
tff(c_25847,plain,
! [X_287,X_282] : ( multiply(inverse(multiply(X_287,X_282)),multiply(X_287,identity)) = inverse(X_282) ),
inference(superposition,[status(thm),theory(equality)],[c_25593,c_25811]) ).
tff(c_26930,plain,
! [X_305,X_306] : ( multiply(inverse(multiply(X_305,X_306)),X_305) = inverse(X_306) ),
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_25847]) ).
tff(c_27041,plain,
! [Z_236] : ( multiply(inverse(Z_236),sk_c2) = inverse(multiply(sk_c2,Z_236)) ),
inference(superposition,[status(thm),theory(equality)],[c_25519,c_26930]) ).
tff(c_25456,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_25446,c_25319]) ).
tff(c_23843,plain,
! [Z_254] : ( multiply(sk_c3,multiply(sk_c4,Z_254)) = Z_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_23224,c_22527]) ).
tff(c_23870,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_22460,c_23843]) ).
tff(c_22448,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22443,c_4]) ).
tff(c_22536,plain,
! [Z_236] : ( multiply(sk_c7,multiply(sk_c2,Z_236)) = multiply(identity,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_22448,c_22506]) ).
tff(c_22574,plain,
! [Z_238] : ( multiply(sk_c7,multiply(sk_c2,Z_238)) = Z_238 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22536]) ).
tff(c_22586,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22488,c_22574]) ).
tff(c_23562,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22586]) ).
tff(c_23730,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_23651,c_23562]) ).
tff(c_22521,plain,
! [Z_236] : ( multiply(sk_c2,multiply(sk_c6,Z_236)) = multiply(sk_c7,Z_236) ),
inference(superposition,[status(thm),theory(equality)],[c_22488,c_22506]) ).
tff(c_23756,plain,
! [Z_252] : ( multiply(sk_c5,Z_252) = multiply(sk_c2,Z_252) ),
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_2,c_23224,c_22521]) ).
tff(c_23780,plain,
multiply(sk_c2,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23730,c_23756]) ).
tff(c_23755,plain,
! [Z_236] : ( multiply(sk_c5,Z_236) = multiply(sk_c2,Z_236) ),
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_2,c_23224,c_22521]) ).
tff(c_23897,plain,
! [Z_255] : ( multiply(sk_c4,multiply(sk_c2,Z_255)) = Z_255 ),
inference(demodulation,[status(thm),theory(equality)],[c_23755,c_23651,c_2,c_23224,c_22524]) ).
tff(c_23915,plain,
multiply(sk_c4,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_23780,c_23897]) ).
tff(c_23922,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_23564,c_23915]) ).
tff(c_23742,plain,
multiply(sk_c4,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_23566]) ).
tff(c_23861,plain,
multiply(sk_c3,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_23742,c_23843]) ).
tff(c_23957,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_23922,c_23870,c_23861]) ).
tff(c_23968,plain,
inverse(sk_c3) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_23957,c_22456]) ).
tff(c_23931,plain,
inverse(sk_c2) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_23922,c_23659]) ).
tff(c_23952,plain,
multiply(sk_c4,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23931,c_4]) ).
tff(c_24014,plain,
multiply(sk_c3,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23957,c_23952]) ).
tff(c_24018,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_24014,c_22549]) ).
tff(c_24024,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23870,c_23968,c_24018]) ).
tff(c_23959,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_23957,c_23931]) ).
tff(c_24049,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_24024,c_23959]) ).
tff(c_23567,plain,
multiply(sk_c3,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22477]) ).
tff(c_23965,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23957,c_23567]) ).
tff(c_24067,plain,
multiply(sk_c2,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_24024,c_24024,c_23965]) ).
tff(c_23961,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_23957,c_23922]) ).
tff(c_24029,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_24024,c_23961]) ).
tff(c_23232,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22563]) ).
tff(c_23236,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22471]) ).
tff(c_23307,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_23236,c_22549]) ).
tff(c_23319,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23220,c_23307]) ).
tff(c_23230,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22586]) ).
tff(c_23322,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23319,c_23319,c_23230]) ).
tff(c_23459,plain,
! [Z_236] : ( multiply(sk_c4,multiply(sk_c5,Z_236)) = Z_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_23319,c_2,c_23224,c_22524]) ).
tff(c_23491,plain,
multiply(sk_c4,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_23322,c_23459]) ).
tff(c_23500,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_23232,c_23491]) ).
tff(c_22600,plain,
! [X_239,Z_240] : ( multiply(inverse(X_239),multiply(X_239,Z_240)) = Z_240 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22539]) ).
tff(c_22624,plain,
multiply(inverse(sk_c4),sk_c4) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_22563,c_22600]) ).
tff(c_22664,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_22624]) ).
tff(c_22707,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_22664,c_22563]) ).
tff(c_22767,plain,
! [Z_242] : ( multiply(sk_c3,multiply(sk_c4,Z_242)) = Z_242 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_22664,c_22527]) ).
tff(c_22794,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_22460,c_22767]) ).
tff(c_22660,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_22600]) ).
tff(c_22711,plain,
multiply(identity,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22664,c_22471]) ).
tff(c_22820,plain,
multiply(inverse(identity),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22711,c_22549]) ).
tff(c_22832,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22660,c_22820]) ).
tff(c_22709,plain,
multiply(sk_c4,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22664,c_22483]) ).
tff(c_22785,plain,
multiply(sk_c3,identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_22709,c_22767]) ).
tff(c_22909,plain,
multiply(sk_c3,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22832,c_22785]) ).
tff(c_22957,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_22794,c_22909]) ).
tff(c_22841,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22832,c_22443]) ).
tff(c_22980,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_22957,c_22841]) ).
tff(c_22998,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_22980,c_4]) ).
tff(c_23020,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_22998,c_22549]) ).
tff(c_23029,plain,
sk_c4 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_22707,c_22456,c_23020]) ).
tff(c_22705,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22664,c_22586]) ).
tff(c_22837,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22832,c_22832,c_22705]) ).
tff(c_22976,plain,
multiply(sk_c3,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_22957,c_22957,c_22837]) ).
tff(c_23005,plain,
multiply(inverse(sk_c3),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_22976,c_22549]) ).
tff(c_23014,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_22707,c_22456,c_23005]) ).
tff(c_23045,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23029,c_23014]) ).
tff(c_22708,plain,
multiply(sk_c2,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_22664,c_22488]) ).
tff(c_22836,plain,
multiply(sk_c2,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22832,c_22708]) ).
tff(c_22974,plain,
multiply(sk_c2,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_22957,c_22836]) ).
tff(c_23122,plain,
multiply(sk_c2,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23045,c_22974]) ).
tff(c_23055,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_23045,c_22957]) ).
tff(c_22874,plain,
! [Z_236] : ( multiply(sk_c5,Z_236) = multiply(sk_c2,Z_236) ),
inference(demodulation,[status(thm),theory(equality)],[c_22832,c_2,c_22664,c_22521]) ).
tff(c_22591,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22471,c_56]) ).
tff(c_22592,plain,
multiply(sk_c7,sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_22591]) ).
tff(c_22706,plain,
multiply(sk_c7,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22664,c_22592]) ).
tff(c_22859,plain,
multiply(sk_c5,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22832,c_22706]) ).
tff(c_22875,plain,
multiply(sk_c2,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_22874,c_22859]) ).
tff(c_23140,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23122,c_23055,c_22875]) ).
tff(c_23141,plain,
! [X2_6,X1_7,X3_8] :
( ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_22591]) ).
tff(c_23229,plain,
multiply(sk_c5,sk_c7) != sk_c6,
inference(splitLeft,[status(thm)],[c_23141]) ).
tff(c_23241,plain,
multiply(sk_c5,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_23229]) ).
tff(c_23323,plain,
multiply(sk_c5,sk_c5) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23319,c_23241]) ).
tff(c_23556,plain,
multiply(sk_c4,sk_c4) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_23500,c_23500,c_23323]) ).
tff(c_23327,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23319,c_22443]) ).
tff(c_23233,plain,
multiply(sk_c2,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_23224,c_22488]) ).
tff(c_23398,plain,
multiply(sk_c2,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_23319,c_23233]) ).
tff(c_23402,plain,
multiply(inverse(sk_c2),sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_23398,c_22549]) ).
tff(c_23408,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23327,c_23402]) ).
tff(c_23558,plain,
multiply(sk_c4,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_23500,c_23500,c_23408]) ).
tff(c_23559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23556,c_23558]) ).
tff(c_23560,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c7) != sk_c6 )
| ( multiply(X3_8,inverse(X3_8)) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(X2_6,sk_c7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_23141]) ).
tff(c_23667,plain,
! [X3_8,X1_7,X2_6] :
( ( multiply(inverse(X3_8),sk_c5) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity )
| ( multiply(X1_7,identity) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23651,c_23224,c_23651,c_23651,c_23651,c_23224,c_23224,c_23651,c_23224,c_23560]) ).
tff(c_23668,plain,
! [X2_6] :
( ( inverse(X2_6) != sk_c5 )
| ( multiply(X2_6,sk_c5) != identity ) ),
inference(splitLeft,[status(thm)],[c_23667]) ).
tff(c_25130,plain,
! [X2_277] :
( ( inverse(X2_277) != sk_c2 )
| ( multiply(X2_277,sk_c2) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24029,c_24029,c_23668]) ).
tff(c_25144,plain,
inverse(sk_c2) != sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_24067,c_25130]) ).
tff(c_25162,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24049,c_25144]) ).
tff(c_25163,plain,
! [X1_7,X3_8] :
( ( multiply(X1_7,identity) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( multiply(inverse(X3_8),sk_c5) != identity )
| ( multiply(X3_8,inverse(X3_8)) != identity ) ),
inference(splitRight,[status(thm)],[c_23667]) ).
tff(c_129200,plain,
! [X1_7,X3_8] :
( ( sk_c2 != X1_7 )
| ( inverse(X1_7) != sk_c2 )
| ( inverse(multiply(sk_c2,X3_8)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25593,c_27041,c_25456,c_25456,c_25579,c_25456,c_25163]) ).
tff(c_129202,plain,
! [X3_662] : ( inverse(multiply(sk_c2,X3_662)) != identity ),
inference(splitLeft,[status(thm)],[c_129200]) ).
tff(c_129251,plain,
inverse(identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_25593,c_129202]) ).
tff(c_129274,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25634,c_129251]) ).
tff(c_129276,plain,
inverse(sk_c2) != sk_c2,
inference(splitRight,[status(thm)],[c_129200]) ).
tff(c_25452,plain,
inverse(sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_25446,c_25376]) ).
tff(c_129278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129276,c_25452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP299-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.36 % Computer : n002.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 22:13:01 EDT 2023
% 0.13/0.36 % CPUTime :
% 25.86/14.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.04/14.58
% 26.04/14.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 26.39/14.64
% 26.39/14.65 Inference rules
% 26.39/14.65 ----------------------
% 26.39/14.65 #Ref : 0
% 26.39/14.65 #Sup : 30806
% 26.39/14.65 #Fact : 0
% 26.39/14.65 #Define : 0
% 26.39/14.65 #Split : 19
% 26.39/14.65 #Chain : 0
% 26.39/14.65 #Close : 0
% 26.39/14.65
% 26.39/14.65 Ordering : KBO
% 26.39/14.65
% 26.39/14.65 Simplification rules
% 26.39/14.65 ----------------------
% 26.39/14.65 #Subsume : 9
% 26.39/14.65 #Demod : 131859
% 26.39/14.65 #Tautology : 25380
% 26.39/14.65 #SimpNegUnit : 43
% 26.39/14.65 #BackRed : 354
% 26.39/14.65
% 26.39/14.65 #Partial instantiations: 0
% 26.39/14.65 #Strategies tried : 1
% 26.39/14.65
% 26.39/14.65 Timing (in seconds)
% 26.39/14.65 ----------------------
% 26.39/14.65 Preprocessing : 0.57
% 26.39/14.65 Parsing : 0.26
% 26.39/14.65 CNF conversion : 0.02
% 26.39/14.65 Main loop : 12.99
% 26.39/14.65 Inferencing : 2.51
% 26.39/14.65 Reduction : 8.79
% 26.39/14.65 Demodulation : 8.33
% 26.39/14.65 BG Simplification : 0.18
% 26.39/14.65 Subsumption : 1.07
% 26.39/14.65 Abstraction : 0.64
% 26.39/14.65 MUC search : 0.00
% 26.39/14.65 Cooper : 0.00
% 26.39/14.65 Total : 13.69
% 26.39/14.65 Index Insertion : 0.00
% 26.39/14.65 Index Deletion : 0.00
% 26.39/14.65 Index Matching : 0.00
% 26.39/14.65 BG Taut test : 0.00
%------------------------------------------------------------------------------