TSTP Solution File: GRP285-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP285-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:47 EDT 2023
% Result : Unsatisfiable 23.34s 12.16s
% Output : CNFRefutation 23.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 36
% Syntax : Number of formulae : 259 ( 182 unt; 12 typ; 0 def)
% Number of atoms : 392 ( 377 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 295 ( 150 ~; 145 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 165 (; 165 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > 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(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_179,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c9,sk_c8) != sk_c7 )
| ( multiply(X3,sk_c9) != sk_c8 )
| ( inverse(X3) != sk_c9 )
| ( multiply(X4,sk_c9) != sk_c7 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( multiply(X2,sk_c7) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( multiply(sk_c9,X5) != sk_c7 )
| ( multiply(X6,sk_c9) != X5 )
| ( inverse(X6) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c9,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c9,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c9,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c3,sk_c9) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c3) = sk_c9 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_10,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_95,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_105,plain,
multiply(sk_c1,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_48,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_81,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_85,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81,c_4]) ).
tff(c_132,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_156,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_85,c_132]) ).
tff(c_170,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156]) ).
tff(c_182,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_105,c_170]) ).
tff(c_186,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_95,c_182]) ).
tff(c_192,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_186,c_81]) ).
tff(c_190,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_186,c_95]) ).
tff(c_159,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_132]) ).
tff(c_231,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_255,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_190,c_231]) ).
tff(c_272,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_255]) ).
tff(c_188,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_186,c_105]) ).
tff(c_273,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_272,c_188]) ).
tff(c_168,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_159]) ).
tff(c_677,plain,
! [X_29,Z_30] : ( multiply(inverse(inverse(X_29)),Z_30) = multiply(X_29,Z_30) ),
inference(superposition,[status(thm),theory(equality)],[c_168,c_231]) ).
tff(c_264,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_231]) ).
tff(c_691,plain,
! [X_29] : ( multiply(X_29,identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_677,c_264]) ).
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_1070,plain,
! [X_36,Y_37,Z_38] : ( multiply(inverse(multiply(X_36,Y_37)),multiply(X_36,multiply(Y_37,Z_38))) = Z_38 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_231]) ).
tff(c_1148,plain,
! [X_36] : ( multiply(inverse(multiply(X_36,sk_c1)),multiply(X_36,identity)) = sk_c7 ),
inference(superposition,[status(thm),theory(equality)],[c_273,c_1070]) ).
tff(c_1212,plain,
! [X_36] : ( multiply(inverse(multiply(X_36,sk_c1)),X_36) = sk_c7 ),
inference(demodulation,[status(thm),theory(equality)],[c_691,c_1148]) ).
tff(c_243,plain,
! [X_2,Z_16] : ( multiply(inverse(inverse(X_2)),Z_16) = multiply(X_2,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_168,c_231]) ).
tff(c_742,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_677,c_264]) ).
tff(c_792,plain,
! [X_2] : ( inverse(inverse(X_2)) = multiply(X_2,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_243,c_742]) ).
tff(c_826,plain,
! [X_2] : ( inverse(inverse(X_2)) = X_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_691,c_792]) ).
tff(c_698,plain,
! [X_29,Z_16] : ( multiply(X_29,multiply(inverse(X_29),Z_16)) = Z_16 ),
inference(superposition,[status(thm),theory(equality)],[c_677,c_168]) ).
tff(c_64,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 )
| ( multiply(X4_11,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( multiply(sk_c9,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_204,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186,c_186,c_186,c_186,c_186,c_186,c_186,c_186,c_186,c_64]) ).
tff(c_205,plain,
multiply(sk_c7,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_204]) ).
tff(c_206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205,c_190]) ).
tff(c_207,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_204]) ).
tff(c_6169,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != identity )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != identity )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_272,c_207]) ).
tff(c_6171,plain,
! [X1_86] :
( ( inverse(X1_86) != sk_c7 )
| ( multiply(X1_86,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_6169]) ).
tff(c_6196,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_273,c_6171]) ).
tff(c_6217,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_6196]) ).
tff(c_6218,plain,
! [X2_10,X6_7,X4_11,X3_8] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != identity )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != identity ) ),
inference(splitRight,[status(thm)],[c_6169]) ).
tff(c_66782,plain,
! [X3_289] :
( ( inverse(X3_289) != sk_c7 )
| ( multiply(X3_289,sk_c7) != identity ) ),
inference(splitLeft,[status(thm)],[c_6218]) ).
tff(c_66864,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_273,c_66782]) ).
tff(c_66897,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_66864]) ).
tff(c_66898,plain,
! [X4_11,X2_10,X6_7] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != identity )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_6218]) ).
tff(c_66908,plain,
! [X6_290] :
( ( inverse(X6_290) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_290,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_66898]) ).
tff(c_66995,plain,
inverse(inverse(sk_c7)) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_698,c_66908]) ).
tff(c_67036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_826,c_66995]) ).
tff(c_67037,plain,
! [X2_10,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != identity )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_66898]) ).
tff(c_67039,plain,
! [X4_291] : ( multiply(X4_291,sk_c7) != sk_c7 ),
inference(splitLeft,[status(thm)],[c_67037]) ).
tff(c_67121,plain,
$false,
inference(superposition,[status(thm),theory(equality)],[c_1212,c_67039]) ).
tff(c_68932,plain,
! [X2_295] :
( ( inverse(X2_295) != sk_c7 )
| ( multiply(X2_295,sk_c7) != identity ) ),
inference(splitRight,[status(thm)],[c_67037]) ).
tff(c_69014,plain,
inverse(sk_c1) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_273,c_68932]) ).
tff(c_69047,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_69014]) ).
tff(c_69049,plain,
multiply(sk_c1,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_22,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_69108,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_69049,c_22]) ).
tff(c_24,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_69061,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_69049,c_24]) ).
tff(c_69065,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69061,c_4]) ).
tff(c_69121,plain,
! [X_296,Y_297,Z_298] : ( multiply(multiply(X_296,Y_297),Z_298) = multiply(X_296,multiply(Y_297,Z_298)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_69151,plain,
! [Z_298] : ( multiply(sk_c9,multiply(sk_c3,Z_298)) = multiply(identity,Z_298) ),
inference(superposition,[status(thm),theory(equality)],[c_69065,c_69121]) ).
tff(c_69280,plain,
! [Z_303] : ( multiply(sk_c9,multiply(sk_c3,Z_303)) = Z_303 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69151]) ).
tff(c_69292,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_69108,c_69280]) ).
tff(c_69296,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_95,c_69292]) ).
tff(c_69308,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_69296,c_95]) ).
tff(c_69166,plain,
! [X_2,Z_298] : ( multiply(inverse(X_2),multiply(X_2,Z_298)) = multiply(identity,Z_298) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69121]) ).
tff(c_69438,plain,
! [X_305,Z_306] : ( multiply(inverse(X_305),multiply(X_305,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69166]) ).
tff(c_69474,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_69308,c_69438]) ).
tff(c_69514,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69474]) ).
tff(c_69306,plain,
multiply(sk_c1,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_69296,c_69049]) ).
tff(c_69522,plain,
multiply(sk_c1,sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_69514,c_69306]) ).
tff(c_69304,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69296,c_69065]) ).
tff(c_30,plain,
( ( multiply(sk_c9,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_69093,plain,
multiply(sk_c9,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_69049,c_30]) ).
tff(c_69301,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_69296,c_69093]) ).
tff(c_69468,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_69301,c_69438]) ).
tff(c_69512,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_69468]) ).
tff(c_32,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_69102,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_69049,c_32]) ).
tff(c_69142,plain,
! [Z_298] : ( multiply(sk_c5,multiply(sk_c9,Z_298)) = multiply(sk_c6,Z_298) ),
inference(superposition,[status(thm),theory(equality)],[c_69102,c_69121]) ).
tff(c_69668,plain,
! [Z_309] : ( multiply(sk_c5,multiply(sk_c7,Z_309)) = Z_309 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69512,c_69296,c_69142]) ).
tff(c_69686,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_69304,c_69668]) ).
tff(c_34,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_69076,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_69049,c_34]) ).
tff(c_69080,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69076,c_4]) ).
tff(c_69302,plain,
multiply(sk_c7,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69296,c_69080]) ).
tff(c_69689,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_69302,c_69668]) ).
tff(c_69713,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_69686,c_69689]) ).
tff(c_69309,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69296,c_85]) ).
tff(c_69692,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_69309,c_69668]) ).
tff(c_69726,plain,
multiply(sk_c3,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_69713,c_69692]) ).
tff(c_69048,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_69053,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69048,c_4]) ).
tff(c_69695,plain,
multiply(sk_c5,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_69053,c_69668]) ).
tff(c_69765,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_69726,c_69713,c_69695]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_69113,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_69049,c_26]) ).
tff(c_69525,plain,
multiply(sk_c4,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69514,c_69113]) ).
tff(c_69767,plain,
multiply(sk_c1,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_69765,c_69525]) ).
tff(c_69771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69522,c_69767]) ).
tff(c_69773,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_16,plain,
( ( multiply(sk_c9,sk_c6) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_69824,plain,
multiply(sk_c9,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_69773,c_16]) ).
tff(c_18,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_69829,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_69773,c_18]) ).
tff(c_20,plain,
( ( inverse(sk_c5) = sk_c9 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_69810,plain,
inverse(sk_c5) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_69773,c_20]) ).
tff(c_69814,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_69810,c_4]) ).
tff(c_69851,plain,
! [X_311,Y_312,Z_313] : ( multiply(multiply(X_311,Y_312),Z_313) = multiply(X_311,multiply(Y_312,Z_313)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_69878,plain,
! [Z_313] : ( multiply(sk_c9,multiply(sk_c5,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_69814,c_69851]) ).
tff(c_69907,plain,
! [Z_314] : ( multiply(sk_c9,multiply(sk_c5,Z_314)) = Z_314 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69878]) ).
tff(c_69919,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_69829,c_69907]) ).
tff(c_69923,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_69824,c_69919]) ).
tff(c_69947,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69923,c_69923,c_69923,c_69923,c_69923,c_69923,c_69923,c_69923,c_69923,c_64]) ).
tff(c_69948,plain,
multiply(sk_c7,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_69947]) ).
tff(c_14,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_69785,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_69773,c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_69834,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_69773,c_12]) ).
tff(c_69893,plain,
! [X_2,Z_313] : ( multiply(inverse(X_2),multiply(X_2,Z_313)) = multiply(identity,Z_313) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_69851]) ).
tff(c_69994,plain,
! [X_315,Z_316] : ( multiply(inverse(X_315),multiply(X_315,Z_316)) = Z_316 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_69893]) ).
tff(c_70036,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_69834,c_69994]) ).
tff(c_70054,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_69785,c_70036]) ).
tff(c_70056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69948,c_70054]) ).
tff(c_70058,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_69947]) ).
tff(c_69932,plain,
multiply(sk_c7,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_69923,c_69773]) ).
tff(c_70112,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70058,c_69932]) ).
tff(c_70114,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_70173,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_70114,c_40]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_70134,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_70114,c_42]) ).
tff(c_70138,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70134,c_4]) ).
tff(c_70191,plain,
! [X_317,Y_318,Z_319] : ( multiply(multiply(X_317,Y_318),Z_319) = multiply(X_317,multiply(Y_318,Z_319)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_70218,plain,
! [Z_319] : ( multiply(sk_c7,multiply(sk_c4,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_70138,c_70191]) ).
tff(c_70240,plain,
! [Z_320] : ( multiply(sk_c7,multiply(sk_c4,Z_320)) = Z_320 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70218]) ).
tff(c_70252,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_70173,c_70240]) ).
tff(c_44,plain,
( ( multiply(sk_c9,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_70167,plain,
multiply(sk_c9,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_70114,c_44]) ).
tff(c_46,plain,
( ( multiply(sk_c5,sk_c9) = sk_c6 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_70155,plain,
multiply(sk_c5,sk_c9) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_70114,c_46]) ).
tff(c_70113,plain,
inverse(sk_c5) = sk_c9,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_70118,plain,
multiply(sk_c9,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70113,c_4]) ).
tff(c_70224,plain,
! [Z_319] : ( multiply(sk_c9,multiply(sk_c5,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_70118,c_70191]) ).
tff(c_70264,plain,
! [Z_321] : ( multiply(sk_c9,multiply(sk_c5,Z_321)) = Z_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70224]) ).
tff(c_70276,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_70155,c_70264]) ).
tff(c_70280,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70167,c_70276]) ).
tff(c_70256,plain,
multiply(sk_c9,sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_70282,plain,
multiply(sk_c7,sk_c8) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70280,c_70256]) ).
tff(c_70293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70252,c_70282]) ).
tff(c_70295,plain,
multiply(sk_c9,sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c9) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_70160,plain,
multiply(sk_c3,sk_c9) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_70114,c_36]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_70126,plain,
inverse(sk_c3) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_70114,c_38]) ).
tff(c_70130,plain,
multiply(sk_c9,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_70126,c_4]) ).
tff(c_70221,plain,
! [Z_319] : ( multiply(sk_c9,multiply(sk_c3,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_70130,c_70191]) ).
tff(c_70432,plain,
! [Z_325] : ( multiply(sk_c9,multiply(sk_c3,Z_325)) = Z_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70221]) ).
tff(c_70444,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_70160,c_70432]) ).
tff(c_70448,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70295,c_70444]) ).
tff(c_70455,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70448,c_70126]) ).
tff(c_70227,plain,
! [X_2,Z_319] : ( multiply(inverse(X_2),multiply(X_2,Z_319)) = multiply(identity,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_70191]) ).
tff(c_71116,plain,
! [X_338,Z_339] : ( multiply(inverse(X_338),multiply(X_338,Z_339)) = Z_339 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70227]) ).
tff(c_71158,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_70252,c_71116]) ).
tff(c_71187,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_71158]) ).
tff(c_70452,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_70448,c_70160]) ).
tff(c_71198,plain,
multiply(sk_c3,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_71187,c_70452]) ).
tff(c_70238,plain,
! [X_2,Z_319] : ( multiply(inverse(X_2),multiply(X_2,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70227]) ).
tff(c_71599,plain,
! [X_347,Z_348] : ( multiply(inverse(inverse(X_347)),Z_348) = multiply(X_347,Z_348) ),
inference(superposition,[status(thm),theory(equality)],[c_71116,c_70238]) ).
tff(c_71176,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_71116]) ).
tff(c_71613,plain,
! [X_347] : ( multiply(X_347,identity) = X_347 ),
inference(superposition,[status(thm),theory(equality)],[c_71599,c_71176]) ).
tff(c_72004,plain,
! [X_354,Y_355,Z_356] : ( multiply(inverse(multiply(X_354,Y_355)),multiply(X_354,multiply(Y_355,Z_356))) = Z_356 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_71116]) ).
tff(c_72082,plain,
! [X_354] : ( multiply(inverse(multiply(X_354,sk_c3)),multiply(X_354,identity)) = sk_c7 ),
inference(superposition,[status(thm),theory(equality)],[c_71198,c_72004]) ).
tff(c_72146,plain,
! [X_354] : ( multiply(inverse(multiply(X_354,sk_c3)),X_354) = sk_c7 ),
inference(demodulation,[status(thm),theory(equality)],[c_71613,c_72082]) ).
tff(c_71665,plain,
! [X_349] : ( multiply(X_349,identity) = X_349 ),
inference(superposition,[status(thm),theory(equality)],[c_71599,c_71176]) ).
tff(c_70454,plain,
multiply(sk_c7,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70448,c_70130]) ).
tff(c_70212,plain,
! [Z_319] : ( multiply(sk_c3,multiply(sk_c9,Z_319)) = multiply(sk_c8,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_70160,c_70191]) ).
tff(c_71261,plain,
! [Z_340] : ( multiply(sk_c3,multiply(sk_c7,Z_340)) = Z_340 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_71187,c_70448,c_70212]) ).
tff(c_71279,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_70454,c_71261]) ).
tff(c_71288,plain,
multiply(sk_c3,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_70138,c_71261]) ).
tff(c_71354,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_71279,c_71288]) ).
tff(c_70235,plain,
! [Z_319] : ( multiply(sk_c7,multiply(sk_c4,Z_319)) = Z_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70218]) ).
tff(c_71161,plain,
! [Z_319] : ( multiply(inverse(sk_c7),Z_319) = multiply(sk_c4,Z_319) ),
inference(superposition,[status(thm),theory(equality)],[c_70235,c_71116]) ).
tff(c_71554,plain,
! [Z_319] : ( multiply(inverse(sk_c7),Z_319) = multiply(sk_c3,Z_319) ),
inference(demodulation,[status(thm),theory(equality)],[c_71354,c_71161]) ).
tff(c_71676,plain,
multiply(sk_c3,identity) = inverse(sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_71665,c_71554]) ).
tff(c_71748,plain,
inverse(sk_c7) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_71613,c_71676]) ).
tff(c_71620,plain,
! [X_347,Z_319] : ( multiply(X_347,multiply(inverse(X_347),Z_319)) = Z_319 ),
inference(superposition,[status(thm),theory(equality)],[c_71599,c_70238]) ).
tff(c_70571,plain,
! [X_329,Z_330] : ( multiply(inverse(X_329),multiply(X_329,Z_330)) = Z_330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70227]) ).
tff(c_70619,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_70252,c_70571]) ).
tff(c_70650,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_70619]) ).
tff(c_70661,plain,
multiply(sk_c3,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_70650,c_70452]) ).
tff(c_70311,plain,
! [Z_322] : ( multiply(sk_c9,multiply(sk_c3,Z_322)) = Z_322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_70221]) ).
tff(c_70323,plain,
multiply(sk_c9,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_70160,c_70311]) ).
tff(c_70327,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70295,c_70323]) ).
tff(c_70334,plain,
inverse(sk_c3) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_70327,c_70126]) ).
tff(c_70331,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_70327,c_70160]) ).
tff(c_70294,plain,
! [X2_10,X3_8,X1_9,X4_11,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 )
| ( multiply(X4_11,sk_c9) != sk_c7 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_70303,plain,
! [X1_9] :
( ( inverse(X1_9) != sk_c9 )
| ( multiply(X1_9,sk_c9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_70294]) ).
tff(c_70396,plain,
! [X1_324] :
( ( inverse(X1_324) != sk_c7 )
| ( multiply(X1_324,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70327,c_70327,c_70303]) ).
tff(c_70402,plain,
inverse(sk_c3) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_70331,c_70396]) ).
tff(c_70423,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70334,c_70402]) ).
tff(c_70424,plain,
! [X2_10,X6_7,X4_11,X3_8] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c9 )
| ( multiply(sk_c9,multiply(X6_7,sk_c9)) != sk_c7 )
| ( multiply(X4_11,sk_c9) != sk_c7 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_70294]) ).
tff(c_70506,plain,
! [X2_10,X6_7,X4_11,X3_8] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70448,c_70448,c_70448,c_70448,c_70448,c_70448,c_70424]) ).
tff(c_70507,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(X3_8,sk_c7) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_70506]) ).
tff(c_71060,plain,
! [X3_337] :
( ( inverse(X3_337) != sk_c7 )
| ( multiply(X3_337,sk_c7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70650,c_70507]) ).
tff(c_71071,plain,
inverse(sk_c3) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_70661,c_71060]) ).
tff(c_71090,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70455,c_71071]) ).
tff(c_71091,plain,
! [X4_11,X2_10,X6_7] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_70506]) ).
tff(c_78226,plain,
! [X4_11,X2_10,X6_7] :
( ( multiply(X4_11,sk_c7) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != identity )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_7,sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71187,c_71091]) ).
tff(c_78228,plain,
! [X6_413] :
( ( inverse(X6_413) != sk_c7 )
| ( multiply(sk_c7,multiply(X6_413,sk_c7)) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_78226]) ).
tff(c_78257,plain,
inverse(inverse(sk_c7)) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_71620,c_78228]) ).
tff(c_78285,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70455,c_71748,c_78257]) ).
tff(c_78286,plain,
! [X2_10,X4_11] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != identity )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_78226]) ).
tff(c_79599,plain,
! [X4_422] : ( multiply(X4_422,sk_c7) != sk_c7 ),
inference(splitLeft,[status(thm)],[c_78286]) ).
tff(c_79632,plain,
$false,
inference(superposition,[status(thm),theory(equality)],[c_72146,c_79599]) ).
tff(c_79634,plain,
! [X2_423] :
( ( inverse(X2_423) != sk_c7 )
| ( multiply(X2_423,sk_c7) != identity ) ),
inference(splitRight,[status(thm)],[c_78286]) ).
tff(c_79662,plain,
inverse(sk_c3) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_71198,c_79634]) ).
tff(c_79683,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70455,c_79662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 21:50:02 EDT 2023
% 0.15/0.37 % CPUTime :
% 23.34/12.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.34/12.19
% 23.34/12.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.89/12.24
% 23.89/12.24 Inference rules
% 23.89/12.24 ----------------------
% 23.89/12.24 #Ref : 0
% 23.89/12.24 #Sup : 18894
% 23.89/12.24 #Fact : 0
% 23.89/12.24 #Define : 0
% 23.89/12.24 #Split : 18
% 23.89/12.24 #Chain : 0
% 23.89/12.24 #Close : 0
% 23.89/12.24
% 23.89/12.24 Ordering : KBO
% 23.89/12.24
% 23.89/12.24 Simplification rules
% 23.89/12.24 ----------------------
% 23.89/12.24 #Subsume : 6
% 23.89/12.24 #Demod : 61687
% 23.89/12.24 #Tautology : 15304
% 23.89/12.24 #SimpNegUnit : 21
% 23.89/12.24 #BackRed : 160
% 23.89/12.24
% 23.89/12.24 #Partial instantiations: 0
% 23.89/12.24 #Strategies tried : 1
% 23.89/12.24
% 23.89/12.24 Timing (in seconds)
% 23.89/12.24 ----------------------
% 23.89/12.25 Preprocessing : 0.52
% 23.89/12.25 Parsing : 0.21
% 23.89/12.25 CNF conversion : 0.02
% 23.89/12.25 Main loop : 10.65
% 23.89/12.25 Inferencing : 1.68
% 23.89/12.25 Reduction : 7.59
% 23.89/12.25 Demodulation : 7.29
% 23.89/12.25 BG Simplification : 0.13
% 23.89/12.25 Subsumption : 0.86
% 23.89/12.25 Abstraction : 0.36
% 23.89/12.25 MUC search : 0.00
% 23.89/12.25 Cooper : 0.00
% 23.89/12.25 Total : 11.27
% 23.89/12.25 Index Insertion : 0.00
% 23.89/12.25 Index Deletion : 0.00
% 23.89/12.25 Index Matching : 0.00
% 23.89/12.25 BG Taut test : 0.00
%------------------------------------------------------------------------------