TSTP Solution File: GRP347-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP347-1 : 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 : n028.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 10:41:01 EDT 2023
% Result : Unsatisfiable 12.55s 4.23s
% Output : CNFRefutation 13.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 42
% Syntax : Number of formulae : 615 ( 506 unt; 10 typ; 0 def)
% Number of atoms : 813 ( 786 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 446 ( 238 ~; 208 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 257 (; 257 !; 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_140,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X3,X4,X1,X2] :
( ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X3) != sk_c7 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( inverse(X4) != sk_c6 )
| ( multiply(X4,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( multiply(X2,sk_c7) != sk_c5 )
| ( inverse(X2) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_143,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,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_18231,plain,
! [X_268,Y_269,Z_270] : ( multiply(multiply(X_268,Y_269),Z_270) = multiply(X_268,multiply(Y_269,Z_270)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_18267,plain,
! [X_2,Z_270] : ( multiply(inverse(X_2),multiply(X_2,Z_270)) = multiply(identity,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18231]) ).
tff(c_18279,plain,
! [X_2,Z_270] : ( multiply(inverse(X_2),multiply(X_2,Z_270)) = Z_270 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18267]) ).
tff(c_19564,plain,
! [X_295,Z_296] : ( multiply(inverse(X_295),multiply(X_295,Z_296)) = Z_296 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18267]) ).
tff(c_19795,plain,
! [X_299,Z_300] : ( multiply(inverse(inverse(X_299)),Z_300) = multiply(X_299,Z_300) ),
inference(superposition,[status(thm),theory(equality)],[c_18279,c_19564]) ).
tff(c_19588,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_19564]) ).
tff(c_19802,plain,
! [X_299] : ( multiply(X_299,identity) = X_299 ),
inference(superposition,[status(thm),theory(equality)],[c_19795,c_19588]) ).
tff(c_5507,plain,
! [X_124,Y_125,Z_126] : ( multiply(multiply(X_124,Y_125),Z_126) = multiply(X_124,multiply(Y_125,Z_126)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_5543,plain,
! [X_2,Z_126] : ( multiply(inverse(X_2),multiply(X_2,Z_126)) = multiply(identity,Z_126) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_5507]) ).
tff(c_6861,plain,
! [X_153,Z_154] : ( multiply(inverse(X_153),multiply(X_153,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5543]) ).
tff(c_5555,plain,
! [X_2,Z_126] : ( multiply(inverse(X_2),multiply(X_2,Z_126)) = Z_126 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5543]) ).
tff(c_7055,plain,
! [X_157,Z_158] : ( multiply(inverse(inverse(X_157)),Z_158) = multiply(X_157,Z_158) ),
inference(superposition,[status(thm),theory(equality)],[c_6861,c_5555]) ).
tff(c_6906,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6861]) ).
tff(c_7066,plain,
! [X_157] : ( multiply(X_157,identity) = X_157 ),
inference(superposition,[status(thm),theory(equality)],[c_7055,c_6906]) ).
tff(c_58,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_3493,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_85,plain,
inverse(sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_89,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_4488,plain,
! [X_104,Y_105,Z_106] : ( multiply(multiply(X_104,Y_105),Z_106) = multiply(X_104,multiply(Y_105,Z_106)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_4527,plain,
! [Z_106] : ( multiply(sk_c6,multiply(sk_c2,Z_106)) = multiply(identity,Z_106) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_4488]) ).
tff(c_4558,plain,
! [Z_108] : ( multiply(sk_c6,multiply(sk_c2,Z_108)) = Z_108 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4527]) ).
tff(c_4570,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3493,c_4558]) ).
tff(c_14,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_119,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_149,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_179,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_149]) ).
tff(c_237,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_179]) ).
tff(c_189,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_179]) ).
tff(c_1736,plain,
! [X_41,Z_42] : ( multiply(inverse(inverse(X_41)),Z_42) = multiply(X_41,Z_42) ),
inference(superposition,[status(thm),theory(equality)],[c_237,c_189]) ).
tff(c_291,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_237]) ).
tff(c_1743,plain,
! [X_41] : ( multiply(X_41,identity) = X_41 ),
inference(superposition,[status(thm),theory(equality)],[c_1736,c_291]) ).
tff(c_1324,plain,
! [X_31,Z_32] : ( multiply(inverse(inverse(X_31)),Z_32) = multiply(X_31,Z_32) ),
inference(superposition,[status(thm),theory(equality)],[c_237,c_189]) ).
tff(c_1331,plain,
! [X_31] : ( multiply(X_31,identity) = X_31 ),
inference(superposition,[status(thm),theory(equality)],[c_1324,c_291]) ).
tff(c_62,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_124,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_176,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c2,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_214,plain,
! [Z_16] : ( multiply(sk_c6,multiply(sk_c2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_226,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_124,c_214]) ).
tff(c_255,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_226,c_237]) ).
tff(c_273,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_119,c_237]) ).
tff(c_672,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_255,c_273]) ).
tff(c_397,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_255,c_273]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_113,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_22,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_98,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_102,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_173,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_15] : ( multiply(sk_c7,multiply(sk_c1,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_113,c_191]) ).
tff(c_410,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_397,c_203]) ).
tff(c_416,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_226,c_410]) ).
tff(c_444,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_416,c_416,c_255]) ).
tff(c_451,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_444]) ).
tff(c_461,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_451,c_416]) ).
tff(c_68,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_303,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119,c_68]) ).
tff(c_304,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitLeft,[status(thm)],[c_303]) ).
tff(c_409,plain,
multiply(sk_c6,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_397,c_304]) ).
tff(c_556,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_461,c_2,c_461,c_451,c_409]) ).
tff(c_558,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitRight,[status(thm)],[c_303]) ).
tff(c_562,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_558,c_189]) ).
tff(c_683,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_672,c_562]) ).
tff(c_692,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_683]) ).
tff(c_686,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_672,c_672,c_203]) ).
tff(c_693,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_226,c_686]) ).
tff(c_708,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_692,c_693]) ).
tff(c_285,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_237]) ).
tff(c_710,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_708,c_285]) ).
tff(c_714,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_710]) ).
tff(c_713,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_708,c_85]) ).
tff(c_768,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_714,c_713]) ).
tff(c_557,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( inverse(sk_c6) != sk_c5 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_303]) ).
tff(c_616,plain,
inverse(sk_c6) != sk_c5,
inference(splitLeft,[status(thm)],[c_557]) ).
tff(c_700,plain,
inverse(sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_692,c_616]) ).
tff(c_788,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_768,c_708,c_700]) ).
tff(c_790,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_557]) ).
tff(c_1066,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_790,c_562]) ).
tff(c_1070,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1066,c_189]) ).
tff(c_1076,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1070]) ).
tff(c_1201,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_1076,c_1076,c_203]) ).
tff(c_1209,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1201]) ).
tff(c_294,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_237]) ).
tff(c_1225,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1209,c_85]) ).
tff(c_1253,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1225,c_291]) ).
tff(c_1262,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_294,c_1253]) ).
tff(c_791,plain,
multiply(sk_c5,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_790,c_285]) ).
tff(c_1197,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_1076,c_1066]) ).
tff(c_1207,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_791,c_1197]) ).
tff(c_1265,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1262,c_1207]) ).
tff(c_1083,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_1076,c_1076,c_203]) ).
tff(c_1091,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1083]) ).
tff(c_1107,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1091,c_85]) ).
tff(c_1135,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1107,c_291]) ).
tff(c_1144,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_294,c_1135]) ).
tff(c_1079,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_1076,c_1066]) ).
tff(c_1089,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_791,c_1079]) ).
tff(c_1098,plain,
inverse(sk_c6) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1089,c_790]) ).
tff(c_1156,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1144,c_1091,c_1098]) ).
tff(c_1147,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1144,c_1089]) ).
tff(c_885,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_790,c_562]) ).
tff(c_889,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_885,c_189]) ).
tff(c_895,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_889]) ).
tff(c_901,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_895,c_895,c_203]) ).
tff(c_909,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_901]) ).
tff(c_897,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_895,c_885]) ).
tff(c_907,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_791,c_897]) ).
tff(c_917,plain,
inverse(sk_c6) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_907,c_790]) ).
tff(c_956,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_909,c_917]) ).
tff(c_279,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_102,c_237]) ).
tff(c_899,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_895,c_279]) ).
tff(c_908,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_294,c_899]) ).
tff(c_906,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_895,c_98]) ).
tff(c_983,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_956,c_908,c_906]) ).
tff(c_947,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_909,c_85]) ).
tff(c_996,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_983,c_947]) ).
tff(c_789,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_557]) ).
tff(c_802,plain,
! [X3_6] :
( ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_789]) ).
tff(c_926,plain,
! [X3_27] :
( ( multiply(X3_27,sk_c6) != identity )
| ( inverse(X3_27) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_895,c_895,c_802]) ).
tff(c_943,plain,
inverse(inverse(sk_c6)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_926]) ).
tff(c_1020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_996,c_996,c_909,c_943]) ).
tff(c_1021,plain,
! [X4_7,X1_8,X2_9] :
( ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_789]) ).
tff(c_1078,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_1021]) ).
tff(c_1176,plain,
! [X2_29] :
( ( inverse(X2_29) != identity )
| ( multiply(X2_29,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1076,c_1076,c_1078]) ).
tff(c_1187,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_1176]) ).
tff(c_1195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1156,c_1156,c_1187]) ).
tff(c_1196,plain,
! [X1_8,X4_7] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_1021]) ).
tff(c_1293,plain,
! [X1_8,X4_7] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != identity )
| ( multiply(X4_7,identity) != identity )
| ( inverse(X4_7) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1209,c_1265,c_1209,c_1209,c_1076,c_1209,c_1196]) ).
tff(c_1294,plain,
! [X4_7] :
( ( multiply(X4_7,identity) != identity )
| ( inverse(X4_7) != identity ) ),
inference(splitLeft,[status(thm)],[c_1293]) ).
tff(c_1706,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1331,c_1294]) ).
tff(c_1216,plain,
inverse(sk_c6) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_1207,c_790]) ).
tff(c_1274,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1262,c_1209,c_1216]) ).
tff(c_1708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1706,c_1274]) ).
tff(c_1709,plain,
! [X1_8] :
( ( inverse(X1_8) != identity )
| ( multiply(X1_8,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_1293]) ).
tff(c_2122,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1743,c_1709]) ).
tff(c_2124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2122,c_1274]) ).
tff(c_2126,plain,
multiply(sk_c2,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_60,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_2171,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2126,c_60]) ).
tff(c_2125,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_2130,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2125,c_4]) ).
tff(c_2192,plain,
! [X_51,Y_52,Z_53] : ( multiply(multiply(X_51,Y_52),Z_53) = multiply(X_51,multiply(Y_52,Z_53)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2222,plain,
! [Z_53] : ( multiply(sk_c6,multiply(sk_c3,Z_53)) = multiply(identity,Z_53) ),
inference(superposition,[status(thm),theory(equality)],[c_2130,c_2192]) ).
tff(c_2424,plain,
! [Z_61] : ( multiply(sk_c6,multiply(sk_c3,Z_61)) = Z_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2222]) ).
tff(c_2436,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2171,c_2424]) ).
tff(c_2440,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_119,c_2436]) ).
tff(c_2158,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_2126,c_58]) ).
tff(c_2449,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2440,c_2158]) ).
tff(c_2464,plain,
multiply(sk_c5,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2449,c_4]) ).
tff(c_56,plain,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_2184,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2126,c_56]) ).
tff(c_2446,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2440,c_2184]) ).
tff(c_2524,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2464,c_2446]) ).
tff(c_2231,plain,
! [Z_53] : ( multiply(sk_c7,multiply(sk_c1,Z_53)) = multiply(identity,Z_53) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_2192]) ).
tff(c_2368,plain,
! [Z_59] : ( multiply(sk_c7,multiply(sk_c1,Z_59)) = Z_59 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2231]) ).
tff(c_2380,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_113,c_2368]) ).
tff(c_2444,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2440,c_2380]) ).
tff(c_2525,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2524,c_2524,c_2444]) ).
tff(c_2534,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2525]) ).
tff(c_2455,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2440,c_89]) ).
tff(c_2540,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2534,c_2455]) ).
tff(c_2237,plain,
! [X_2,Z_53] : ( multiply(inverse(X_2),multiply(X_2,Z_53)) = multiply(identity,Z_53) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2192]) ).
tff(c_2250,plain,
! [X_2,Z_53] : ( multiply(inverse(X_2),multiply(X_2,Z_53)) = Z_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2237]) ).
tff(c_2695,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_2540,c_2250]) ).
tff(c_2707,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2695]) ).
tff(c_2451,plain,
multiply(sk_c2,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2440,c_2126]) ).
tff(c_2643,plain,
multiply(sk_c2,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2534,c_2534,c_2451]) ).
tff(c_2711,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2707,c_2643]) ).
tff(c_2716,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2711]) ).
tff(c_2718,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_12,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_3063,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2718,c_12]) ).
tff(c_2717,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_2722,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2717,c_4]) ).
tff(c_3082,plain,
! [X_74,Y_75,Z_76] : ( multiply(multiply(X_74,Y_75),Z_76) = multiply(X_74,multiply(Y_75,Z_76)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3112,plain,
! [Z_76] : ( multiply(sk_c6,multiply(sk_c3,Z_76)) = multiply(identity,Z_76) ),
inference(superposition,[status(thm),theory(equality)],[c_2722,c_3082]) ).
tff(c_3177,plain,
! [Z_79] : ( multiply(sk_c6,multiply(sk_c3,Z_79)) = Z_79 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3112]) ).
tff(c_3189,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3063,c_3177]) ).
tff(c_3124,plain,
! [X_2,Z_76] : ( multiply(inverse(X_2),multiply(X_2,Z_76)) = multiply(identity,Z_76) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3082]) ).
tff(c_3217,plain,
! [X_81,Z_82] : ( multiply(inverse(X_81),multiply(X_81,Z_82)) = Z_82 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3124]) ).
tff(c_3238,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_3189,c_3217]) ).
tff(c_3305,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3238]) ).
tff(c_3118,plain,
! [Z_76] : ( multiply(sk_c7,multiply(sk_c1,Z_76)) = multiply(identity,Z_76) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_3082]) ).
tff(c_3139,plain,
! [Z_77] : ( multiply(sk_c7,multiply(sk_c1,Z_77)) = Z_77 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3118]) ).
tff(c_3151,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_113,c_3139]) ).
tff(c_3320,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3305,c_3305,c_3151]) ).
tff(c_3330,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3320]) ).
tff(c_3193,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3189,c_2718]) ).
tff(c_3335,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_3330,c_3193]) ).
tff(c_66,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_2736,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_2789,plain,
! [X_65,Y_66,Z_67] : ( multiply(multiply(X_65,Y_66),Z_67) = multiply(X_65,multiply(Y_66,Z_67)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2831,plain,
! [Z_67] : ( multiply(sk_c6,multiply(sk_c2,Z_67)) = multiply(identity,Z_67) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_2789]) ).
tff(c_2872,plain,
! [Z_69] : ( multiply(sk_c6,multiply(sk_c2,Z_69)) = Z_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2831]) ).
tff(c_2884,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2736,c_2872]) ).
tff(c_10,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_2744,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_2718,c_10]) ).
tff(c_2748,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2744,c_4]) ).
tff(c_2921,plain,
! [Z_71] : ( multiply(sk_c2,multiply(sk_c5,Z_71)) = multiply(sk_c6,Z_71) ),
inference(superposition,[status(thm),theory(equality)],[c_2736,c_2789]) ).
tff(c_2936,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_2748,c_2921]) ).
tff(c_2940,plain,
multiply(sk_c2,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2884,c_2936]) ).
tff(c_2846,plain,
! [Z_67] : ( multiply(sk_c6,multiply(sk_c2,Z_67)) = Z_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2831]) ).
tff(c_2944,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2940,c_2846]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_2780,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2718,c_8]) ).
tff(c_2952,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2944,c_2780]) ).
tff(c_2828,plain,
! [Z_67] : ( multiply(sk_c7,multiply(sk_c1,Z_67)) = multiply(identity,Z_67) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_2789]) ).
tff(c_2849,plain,
! [Z_68] : ( multiply(sk_c7,multiply(sk_c1,Z_68)) = Z_68 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2828]) ).
tff(c_2861,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_113,c_2849]) ).
tff(c_2962,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2952,c_2952,c_2861]) ).
tff(c_2971,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2962]) ).
tff(c_2775,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2718,c_12]) ).
tff(c_2822,plain,
! [Z_67] : ( multiply(sk_c6,multiply(sk_c3,Z_67)) = multiply(identity,Z_67) ),
inference(superposition,[status(thm),theory(equality)],[c_2722,c_2789]) ).
tff(c_2897,plain,
! [Z_70] : ( multiply(sk_c6,multiply(sk_c3,Z_70)) = Z_70 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2822]) ).
tff(c_2909,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2775,c_2897]) ).
tff(c_2913,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2909,c_2718]) ).
tff(c_2977,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2971,c_2913]) ).
tff(c_2980,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2971,c_2971,c_2884]) ).
tff(c_2990,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2980]) ).
tff(c_3026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2977,c_2990]) ).
tff(c_3027,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_16,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_3058,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_2718,c_16]) ).
tff(c_3262,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_3058,c_3217]) ).
tff(c_3310,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3027,c_3262]) ).
tff(c_3466,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3305,c_2,c_3305,c_3310]) ).
tff(c_3467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3335,c_3466]) ).
tff(c_3469,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_3511,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3469,c_34]) ).
tff(c_3515,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3511,c_4]) ).
tff(c_4606,plain,
! [Z_110] : ( multiply(sk_c2,multiply(sk_c5,Z_110)) = multiply(sk_c6,Z_110) ),
inference(superposition,[status(thm),theory(equality)],[c_3493,c_4488]) ).
tff(c_4621,plain,
multiply(sk_c6,sk_c6) = multiply(sk_c2,identity),
inference(superposition,[status(thm),theory(equality)],[c_3515,c_4606]) ).
tff(c_4625,plain,
multiply(sk_c2,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4570,c_4621]) ).
tff(c_4542,plain,
! [Z_106] : ( multiply(sk_c6,multiply(sk_c2,Z_106)) = Z_106 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4527]) ).
tff(c_4629,plain,
multiply(sk_c6,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4625,c_4542]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_4481,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3469,c_32]) ).
tff(c_4637,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4629,c_4481]) ).
tff(c_4656,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4637,c_98]) ).
tff(c_4671,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4656,c_4]) ).
tff(c_4530,plain,
! [X_2,Z_106] : ( multiply(inverse(X_2),multiply(X_2,Z_106)) = multiply(identity,Z_106) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4488]) ).
tff(c_4543,plain,
! [X_2,Z_106] : ( multiply(inverse(X_2),multiply(X_2,Z_106)) = Z_106 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4530]) ).
tff(c_4903,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_4671,c_4543]) ).
tff(c_4915,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4903]) ).
tff(c_42,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_3477,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_3483,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3477,c_3469]) ).
tff(c_3484,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_4654,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4637,c_3484]) ).
tff(c_4664,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4654,c_4]) ).
tff(c_4794,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_4664,c_4543]) ).
tff(c_4806,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4794]) ).
tff(c_4810,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4806,c_4654]) ).
tff(c_3529,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_40,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3541,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3469,c_40]) ).
tff(c_3489,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3484,c_4]) ).
tff(c_3554,plain,
! [X_85,Y_86,Z_87] : ( multiply(multiply(X_85,Y_86),Z_87) = multiply(X_85,multiply(Y_86,Z_87)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3584,plain,
! [Z_87] : ( multiply(sk_c7,multiply(sk_c4,Z_87)) = multiply(identity,Z_87) ),
inference(superposition,[status(thm),theory(equality)],[c_3489,c_3554]) ).
tff(c_3845,plain,
! [Z_94] : ( multiply(sk_c7,multiply(sk_c4,Z_94)) = Z_94 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3584]) ).
tff(c_3857,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_3541,c_3845]) ).
tff(c_4302,plain,
! [Z_101] : ( multiply(sk_c6,multiply(sk_c7,Z_101)) = multiply(sk_c5,Z_101) ),
inference(superposition,[status(thm),theory(equality)],[c_3529,c_3554]) ).
tff(c_4314,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_3857,c_4302]) ).
tff(c_4330,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3529,c_4314]) ).
tff(c_3596,plain,
! [Z_87] : ( multiply(sk_c6,multiply(sk_c2,Z_87)) = multiply(identity,Z_87) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_3554]) ).
tff(c_3627,plain,
! [Z_89] : ( multiply(sk_c6,multiply(sk_c2,Z_89)) = Z_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3596]) ).
tff(c_3639,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3493,c_3627]) ).
tff(c_3581,plain,
! [Z_87] : ( multiply(sk_c5,multiply(sk_c6,Z_87)) = multiply(identity,Z_87) ),
inference(superposition,[status(thm),theory(equality)],[c_3515,c_3554]) ).
tff(c_4338,plain,
! [Z_102] : ( multiply(sk_c5,multiply(sk_c6,Z_102)) = Z_102 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3581]) ).
tff(c_4353,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3639,c_4338]) ).
tff(c_4372,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4330,c_4353]) ).
tff(c_4396,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4372,c_3511]) ).
tff(c_4362,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_3529,c_4338]) ).
tff(c_4373,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4330,c_4362]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_3535,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3469,c_36]) ).
tff(c_3468,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_3473,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3468,c_4]) ).
tff(c_3587,plain,
! [Z_87] : ( multiply(sk_c6,multiply(sk_c3,Z_87)) = multiply(identity,Z_87) ),
inference(superposition,[status(thm),theory(equality)],[c_3473,c_3554]) ).
tff(c_4019,plain,
! [Z_97] : ( multiply(sk_c6,multiply(sk_c3,Z_97)) = Z_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3587]) ).
tff(c_4031,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3535,c_4019]) ).
tff(c_4035,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3529,c_4031]) ).
tff(c_4043,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_3511]) ).
tff(c_4057,plain,
multiply(sk_c5,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4043,c_4]) ).
tff(c_3549,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3469,c_32]) ).
tff(c_4039,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_3549]) ).
tff(c_4090,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4057,c_4039]) ).
tff(c_4041,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_3529]) ).
tff(c_4141,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4090,c_4041]) ).
tff(c_4048,plain,
multiply(sk_c5,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_89]) ).
tff(c_3599,plain,
! [X_2,Z_87] : ( multiply(inverse(X_2),multiply(X_2,Z_87)) = multiply(identity,Z_87) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3554]) ).
tff(c_4167,plain,
! [X_99,Z_100] : ( multiply(inverse(X_99),multiply(X_99,Z_100)) = Z_100 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3599]) ).
tff(c_4188,plain,
multiply(inverse(sk_c5),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_4048,c_4167]) ).
tff(c_4223,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_4141,c_4043,c_4188]) ).
tff(c_4044,plain,
multiply(sk_c5,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_3473]) ).
tff(c_4185,plain,
multiply(inverse(sk_c5),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_4044,c_4167]) ).
tff(c_4222,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_4141,c_4043,c_4185]) ).
tff(c_4241,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_4223,c_4222]) ).
tff(c_3869,plain,
! [Z_95] : ( multiply(sk_c6,multiply(sk_c3,Z_95)) = Z_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3587]) ).
tff(c_3881,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3535,c_3869]) ).
tff(c_3885,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3529,c_3881]) ).
tff(c_3893,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3885,c_3511]) ).
tff(c_3907,plain,
multiply(sk_c5,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3893,c_4]) ).
tff(c_3889,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3885,c_3549]) ).
tff(c_3940,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3907,c_3889]) ).
tff(c_3891,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3885,c_3529]) ).
tff(c_4001,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3940,c_3891]) ).
tff(c_3653,plain,
! [Z_90] : ( multiply(sk_c7,multiply(sk_c4,Z_90)) = Z_90 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3584]) ).
tff(c_3665,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_3541,c_3653]) ).
tff(c_3676,plain,
! [Z_91] : ( multiply(sk_c6,multiply(sk_c7,Z_91)) = multiply(sk_c5,Z_91) ),
inference(superposition,[status(thm),theory(equality)],[c_3529,c_3554]) ).
tff(c_3688,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_3665,c_3676]) ).
tff(c_3704,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3529,c_3688]) ).
tff(c_3712,plain,
! [Z_92] : ( multiply(sk_c5,multiply(sk_c6,Z_92)) = Z_92 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3581]) ).
tff(c_3727,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3639,c_3712]) ).
tff(c_3746,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3704,c_3727]) ).
tff(c_3770,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3746,c_3511]) ).
tff(c_3736,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_3529,c_3712]) ).
tff(c_3747,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3704,c_3736]) ).
tff(c_3644,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3529,c_3549,c_3511,c_68]) ).
tff(c_3645,plain,
! [X3_6] :
( ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_3644]) ).
tff(c_3789,plain,
! [X3_93] :
( ( multiply(X3_93,sk_c5) != sk_c5 )
| ( inverse(X3_93) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3747,c_3746,c_3747,c_3645]) ).
tff(c_3805,plain,
inverse(sk_c5) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3704,c_3789]) ).
tff(c_3836,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3770,c_3805]) ).
tff(c_3837,plain,
! [X4_7,X1_8,X2_9] :
( ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_3644]) ).
tff(c_3868,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_3837]) ).
tff(c_3955,plain,
! [X2_9] :
( ( inverse(X2_9) != identity )
| ( multiply(X2_9,identity) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3940,c_3940,c_3868]) ).
tff(c_4005,plain,
inverse(sk_c5) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4001,c_3955]) ).
tff(c_4012,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_3893,c_4005]) ).
tff(c_3887,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3885,c_3885,c_3639]) ).
tff(c_4015,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3907,c_3887]) ).
tff(c_4016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4012,c_4015]) ).
tff(c_4017,plain,
! [X1_8,X4_7] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_3837]) ).
tff(c_4018,plain,
! [X4_7] :
( ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_4017]) ).
tff(c_4106,plain,
! [X4_98] :
( ( multiply(X4_98,sk_c5) != sk_c5 )
| ( inverse(X4_98) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_4035,c_4018]) ).
tff(c_4117,plain,
( ( sk_c5 != identity )
| ( inverse(inverse(sk_c5)) != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4106]) ).
tff(c_4125,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_4043,c_4043,c_4117]) ).
tff(c_4230,plain,
sk_c3 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_4222,c_4125]) ).
tff(c_4272,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_4241,c_4230]) ).
tff(c_4037,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4035,c_4035,c_3639]) ).
tff(c_4288,plain,
multiply(sk_c2,sk_c2) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_4223,c_4223,c_4223,c_4037]) ).
tff(c_3612,plain,
! [X_2,Z_87] : ( multiply(inverse(X_2),multiply(X_2,Z_87)) = Z_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3599]) ).
tff(c_4292,plain,
multiply(inverse(sk_c2),sk_c2) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_4288,c_3612]) ).
tff(c_4298,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4292]) ).
tff(c_4300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4272,c_4298]) ).
tff(c_4301,plain,
! [X1_8] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_4017]) ).
tff(c_4415,plain,
! [X1_103] :
( ( inverse(X1_103) != sk_c5 )
| ( multiply(X1_103,sk_c5) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4372,c_4373,c_4372,c_4301]) ).
tff(c_4431,plain,
inverse(sk_c5) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_4330,c_4415]) ).
tff(c_4462,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4396,c_4431]) ).
tff(c_4464,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_4472,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_4464,c_16]) ).
tff(c_4649,plain,
multiply(sk_c4,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_4637,c_4472]) ).
tff(c_4872,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4806,c_4649]) ).
tff(c_4675,plain,
! [X_111,Z_112] : ( multiply(inverse(X_111),multiply(X_111,Z_112)) = Z_112 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4530]) ).
tff(c_4732,plain,
multiply(inverse(sk_c6),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_4675]) ).
tff(c_4752,plain,
multiply(sk_c5,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_3511,c_4732]) ).
tff(c_4874,plain,
multiply(identity,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_4872,c_4752]) ).
tff(c_4883,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4874]) ).
tff(c_4893,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_4883,c_85]) ).
tff(c_4895,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4810,c_4893]) ).
tff(c_4653,plain,
multiply(sk_c1,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_4637,c_3469]) ).
tff(c_4939,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4915,c_4895,c_4653]) ).
tff(c_4941,plain,
multiply(sk_c2,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_4976,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_4941,c_56]) ).
tff(c_4940,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_4945,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_4940,c_4]) ).
tff(c_5000,plain,
! [X_114,Y_115,Z_116] : ( multiply(multiply(X_114,Y_115),Z_116) = multiply(X_114,multiply(Y_115,Z_116)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_5030,plain,
! [Z_116] : ( multiply(sk_c5,multiply(sk_c6,Z_116)) = multiply(identity,Z_116) ),
inference(superposition,[status(thm),theory(equality)],[c_4945,c_5000]) ).
tff(c_5105,plain,
! [Z_120] : ( multiply(sk_c5,multiply(sk_c6,Z_120)) = Z_120 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5030]) ).
tff(c_5120,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_4976,c_5105]) ).
tff(c_5039,plain,
! [X_2,Z_116] : ( multiply(inverse(X_2),multiply(X_2,Z_116)) = multiply(identity,Z_116) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_5000]) ).
tff(c_5163,plain,
! [X_121,Z_122] : ( multiply(inverse(X_121),multiply(X_121,Z_122)) = Z_122 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5039]) ).
tff(c_5184,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_5120,c_5163]) ).
tff(c_5239,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5184]) ).
tff(c_5258,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5239,c_98]) ).
tff(c_5327,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5258,c_4]) ).
tff(c_5052,plain,
! [X_2,Z_116] : ( multiply(inverse(X_2),multiply(X_2,Z_116)) = Z_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5039]) ).
tff(c_5393,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_5327,c_5052]) ).
tff(c_5405,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5393]) ).
tff(c_5256,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5239,c_3484]) ).
tff(c_5280,plain,
multiply(identity,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5256,c_4]) ).
tff(c_5287,plain,
multiply(inverse(identity),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_5280,c_5052]) ).
tff(c_5299,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5287]) ).
tff(c_5303,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5299,c_5256]) ).
tff(c_5126,plain,
multiply(sk_c5,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_5105]) ).
tff(c_5248,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_5239,c_5120]) ).
tff(c_5259,plain,
sk_c5 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_5126,c_5248]) ).
tff(c_4988,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3469,c_40]) ).
tff(c_5202,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_4988,c_5163]) ).
tff(c_5242,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_3484,c_5202]) ).
tff(c_5372,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5259,c_5239,c_2,c_5239,c_5242]) ).
tff(c_5379,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_5372,c_85]) ).
tff(c_5381,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5303,c_5379]) ).
tff(c_5255,plain,
multiply(sk_c1,sk_c6) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_5239,c_3469]) ).
tff(c_5432,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5405,c_5381,c_5255]) ).
tff(c_5434,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_28,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_5480,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_5434,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_5454,plain,
inverse(sk_c4) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_5434,c_30]) ).
tff(c_5458,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5454,c_4]) ).
tff(c_5531,plain,
! [Z_126] : ( multiply(sk_c7,multiply(sk_c4,Z_126)) = multiply(identity,Z_126) ),
inference(superposition,[status(thm),theory(equality)],[c_5458,c_5507]) ).
tff(c_5557,plain,
! [Z_127] : ( multiply(sk_c7,multiply(sk_c4,Z_127)) = Z_127 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5531]) ).
tff(c_5569,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_5480,c_5557]) ).
tff(c_5678,plain,
! [X_131,Z_132] : ( multiply(inverse(X_131),multiply(X_131,Z_132)) = Z_132 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5543]) ).
tff(c_5714,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_5569,c_5678]) ).
tff(c_5767,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5714]) ).
tff(c_5433,plain,
inverse(sk_c6) = sk_c5,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_5841,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_5767,c_5433]) ).
tff(c_5885,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5841,c_4]) ).
tff(c_5917,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_5885,c_5555]) ).
tff(c_5929,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5917]) ).
tff(c_20,plain,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_5490,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_5434,c_20]) ).
tff(c_5438,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5433,c_4]) ).
tff(c_5537,plain,
! [Z_126] : ( multiply(sk_c5,multiply(sk_c6,Z_126)) = multiply(identity,Z_126) ),
inference(superposition,[status(thm),theory(equality)],[c_5438,c_5507]) ).
tff(c_5629,plain,
! [Z_130] : ( multiply(sk_c5,multiply(sk_c6,Z_130)) = Z_130 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5537]) ).
tff(c_5644,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_5490,c_5629]) ).
tff(c_5699,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_5644,c_5678]) ).
tff(c_5763,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5699]) ).
tff(c_5574,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5490,c_5433,c_68]) ).
tff(c_5575,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitLeft,[status(thm)],[c_5574]) ).
tff(c_5790,plain,
multiply(sk_c6,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_5763,c_5575]) ).
tff(c_6038,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5929,c_5767,c_5790]) ).
tff(c_6040,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_5574]) ).
tff(c_6196,plain,
! [Z_140] : ( multiply(sk_c5,multiply(sk_c6,Z_140)) = Z_140 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5537]) ).
tff(c_6208,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_6040,c_6196]) ).
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_6228,plain,
! [Z_141] : ( multiply(sk_c6,multiply(sk_c7,Z_141)) = multiply(sk_c5,Z_141) ),
inference(superposition,[status(thm),theory(equality)],[c_6040,c_6]) ).
tff(c_6243,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c5),
inference(superposition,[status(thm),theory(equality)],[c_5569,c_6228]) ).
tff(c_6253,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6208,c_6040,c_6243]) ).
tff(c_6211,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_5490,c_6196]) ).
tff(c_6853,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6253,c_6211]) ).
tff(c_6879,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_6853,c_6861]) ).
tff(c_6913,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6879]) ).
tff(c_6217,plain,
multiply(sk_c5,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_89,c_6196]) ).
tff(c_6917,plain,
multiply(identity,identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_6913,c_6217]) ).
tff(c_6925,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6917]) ).
tff(c_6932,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_6925,c_85]) ).
tff(c_6263,plain,
inverse(sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6253,c_5454]) ).
tff(c_6272,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_6263,c_4]) ).
tff(c_6941,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6913,c_6272]) ).
tff(c_6919,plain,
inverse(sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6913,c_6263]) ).
tff(c_6961,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6932,c_6941,c_6919]) ).
tff(c_6295,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6253,c_6211]) ).
tff(c_6341,plain,
! [X_142,Z_143] : ( multiply(inverse(X_142),multiply(X_142,Z_143)) = Z_143 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5543]) ).
tff(c_6371,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_6295,c_6341]) ).
tff(c_6408,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6371]) ).
tff(c_6587,plain,
! [X_146,Z_147] : ( multiply(inverse(inverse(X_146)),Z_147) = multiply(X_146,Z_147) ),
inference(superposition,[status(thm),theory(equality)],[c_6341,c_5555]) ).
tff(c_6398,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6341]) ).
tff(c_6594,plain,
! [X_146] : ( multiply(X_146,identity) = X_146 ),
inference(superposition,[status(thm),theory(equality)],[c_6587,c_6398]) ).
tff(c_6259,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6253,c_5490]) ).
tff(c_26,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_5446,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_5434,c_26]) ).
tff(c_5450,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_5446,c_4]) ).
tff(c_6214,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_5450,c_6196]) ).
tff(c_6284,plain,
sk_c3 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_6217,c_6214]) ).
tff(c_24,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_5475,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_5434,c_24]) ).
tff(c_6261,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6253,c_5475]) ).
tff(c_6332,plain,
multiply(sk_c2,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6284,c_6261]) ).
tff(c_6359,plain,
multiply(inverse(sk_c2),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_6332,c_6341]) ).
tff(c_6405,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6259,c_85,c_6359]) ).
tff(c_6423,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6408,c_6405]) ).
tff(c_6039,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_5574]) ).
tff(c_6155,plain,
! [X2_139] :
( ( inverse(X2_139) != sk_c7 )
| ( multiply(X2_139,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_6039]) ).
tff(c_6171,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_5480,c_6155]) ).
tff(c_6187,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5454,c_6171]) ).
tff(c_6188,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_6039]) ).
tff(c_6293,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6253,c_6253,c_6253,c_6188]) ).
tff(c_6294,plain,
! [X3_6] :
( ( multiply(X3_6,sk_c6) != sk_c5 )
| ( inverse(X3_6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_6293]) ).
tff(c_6849,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_6408,c_6594,c_6423,c_6408,c_6294]) ).
tff(c_6415,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_6405,c_5433]) ).
tff(c_6490,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6408,c_6408,c_6415]) ).
tff(c_6851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6849,c_6490]) ).
tff(c_6852,plain,
! [X4_7,X1_8] :
( ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_6293]) ).
tff(c_18132,plain,
! [X4_7,X1_8] :
( ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7066,c_6961,c_6913,c_6961,c_6961,c_7066,c_6961,c_6913,c_6852]) ).
tff(c_18134,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_18132]) ).
tff(c_6962,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_6961,c_6932]) ).
tff(c_18136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18134,c_6962]) ).
tff(c_18138,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_18132]) ).
tff(c_18140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18138,c_6962]) ).
tff(c_18142,plain,
inverse(sk_c2) != sk_c6,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_18150,plain,
inverse(sk_c2) = sk_c6,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_18151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18142,c_18150]) ).
tff(c_18152,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_18157,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18152,c_4]) ).
tff(c_46,plain,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_18182,plain,
inverse(sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_18142,c_46]) ).
tff(c_18186,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18182,c_4]) ).
tff(c_18255,plain,
! [Z_270] : ( multiply(sk_c5,multiply(sk_c6,Z_270)) = multiply(identity,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_18186,c_18231]) ).
tff(c_18284,plain,
! [Z_271] : ( multiply(sk_c5,multiply(sk_c6,Z_271)) = Z_271 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18255]) ).
tff(c_18299,plain,
multiply(sk_c5,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_18157,c_18284]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_18215,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18142,c_44]) ).
tff(c_18296,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_18215,c_18284]) ).
tff(c_18334,plain,
! [X_273,Z_274] : ( multiply(inverse(X_273),multiply(X_273,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18267]) ).
tff(c_18358,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18296,c_18334]) ).
tff(c_18407,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_18358]) ).
tff(c_18415,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18407,c_18296]) ).
tff(c_18424,plain,
sk_c5 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_18299,c_18415]) ).
tff(c_18141,plain,
inverse(sk_c4) = sk_c7,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_18199,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_18142,c_52]) ).
tff(c_18373,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18199,c_18334]) ).
tff(c_18410,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18141,c_18373]) ).
tff(c_18537,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18424,c_18407,c_2,c_18407,c_18410]) ).
tff(c_18540,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18537,c_18424]) ).
tff(c_18432,plain,
inverse(sk_c6) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_18424,c_18182]) ).
tff(c_18480,plain,
multiply(sk_c3,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18432,c_4]) ).
tff(c_18549,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18537,c_18480]) ).
tff(c_18282,plain,
! [X2_9,X1_8,X4_7,X3_6] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18215,c_18182,c_68]) ).
tff(c_18283,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitLeft,[status(thm)],[c_18282]) ).
tff(c_18416,plain,
multiply(sk_c6,identity) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18407,c_18283]) ).
tff(c_18602,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18540,c_2,c_18549,c_18416]) ).
tff(c_18604,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_18282]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_18204,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_18142,c_48]) ).
tff(c_18261,plain,
! [Z_270] : ( multiply(sk_c6,multiply(sk_c3,Z_270)) = multiply(identity,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_18157,c_18231]) ).
tff(c_18849,plain,
! [Z_281] : ( multiply(sk_c6,multiply(sk_c3,Z_281)) = Z_281 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18261]) ).
tff(c_18870,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18204,c_18849]) ).
tff(c_18875,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18604,c_18870]) ).
tff(c_18882,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18875,c_18182]) ).
tff(c_19601,plain,
multiply(sk_c5,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18882,c_4]) ).
tff(c_18146,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_18141,c_4]) ).
tff(c_18264,plain,
! [Z_270] : ( multiply(sk_c7,multiply(sk_c4,Z_270)) = multiply(identity,Z_270) ),
inference(superposition,[status(thm),theory(equality)],[c_18146,c_18231]) ).
tff(c_18642,plain,
! [Z_277] : ( multiply(sk_c7,multiply(sk_c4,Z_277)) = Z_277 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18264]) ).
tff(c_18654,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18199,c_18642]) ).
tff(c_18605,plain,
! [Z_276] : ( multiply(sk_c3,multiply(sk_c6,Z_276)) = multiply(sk_c7,Z_276) ),
inference(superposition,[status(thm),theory(equality)],[c_18204,c_18231]) ).
tff(c_18617,plain,
multiply(sk_c7,sk_c5) = multiply(sk_c3,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_18215,c_18605]) ).
tff(c_18665,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18654,c_18617]) ).
tff(c_18864,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18665,c_18849]) ).
tff(c_18874,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18604,c_18864]) ).
tff(c_18877,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18875,c_18604]) ).
tff(c_19649,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19601,c_18874,c_18877]) ).
tff(c_18881,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18875,c_18186]) ).
tff(c_18879,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18875,c_18215]) ).
tff(c_18942,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18874,c_18879]) ).
tff(c_18958,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18881,c_18942]) ).
tff(c_18967,plain,
! [X_282,Z_283] : ( multiply(inverse(X_282),multiply(X_282,Z_283)) = Z_283 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18267]) ).
tff(c_19166,plain,
! [X_285,Z_286] : ( multiply(inverse(inverse(X_285)),Z_286) = multiply(X_285,Z_286) ),
inference(superposition,[status(thm),theory(equality)],[c_18967,c_18279]) ).
tff(c_19009,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_18967]) ).
tff(c_19173,plain,
! [X_285] : ( multiply(X_285,identity) = X_285 ),
inference(superposition,[status(thm),theory(equality)],[c_19166,c_19009]) ).
tff(c_18682,plain,
! [Z_278] : ( multiply(sk_c6,multiply(sk_c3,Z_278)) = Z_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18261]) ).
tff(c_18703,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_18204,c_18682]) ).
tff(c_18708,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18604,c_18703]) ).
tff(c_18717,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18708,c_18152]) ).
tff(c_18697,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_18665,c_18682]) ).
tff(c_18707,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18604,c_18697]) ).
tff(c_18713,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_18708,c_18204]) ).
tff(c_18826,plain,
multiply(sk_c3,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_18707,c_18713]) ).
tff(c_18603,plain,
! [X3_6,X4_7,X1_8,X2_9] :
( ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_18282]) ).
tff(c_18673,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c7 )
| ( multiply(X2_9,sk_c7) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_18603]) ).
tff(c_18794,plain,
! [X2_9] :
( ( inverse(X2_9) != sk_c5 )
| ( multiply(X2_9,sk_c5) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18707,c_18707,c_18673]) ).
tff(c_18830,plain,
inverse(sk_c3) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_18826,c_18794]) ).
tff(c_18839,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18717,c_18830]) ).
tff(c_18840,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != sk_c6 )
| ( multiply(X1_8,sk_c6) != sk_c7 )
| ( multiply(X4_7,sk_c5) != sk_c6 )
| ( inverse(X4_7) != sk_c6 )
| ( multiply(X3_6,sk_c6) != sk_c7 )
| ( inverse(X3_6) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_18603]) ).
tff(c_18904,plain,
! [X1_8,X4_7,X3_6] :
( ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != sk_c5 )
| ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( multiply(X3_6,sk_c5) != sk_c5 )
| ( inverse(X3_6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18874,c_18874,c_18875,c_18875,c_18875,c_18874,c_18875,c_18875,c_18840]) ).
tff(c_18905,plain,
! [X3_6] :
( ( multiply(X3_6,sk_c5) != sk_c5 )
| ( inverse(X3_6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_18904]) ).
tff(c_19553,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_18958,c_19173,c_18958,c_18958,c_18905]) ).
tff(c_19025,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_18958,c_18958,c_18882]) ).
tff(c_19555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19553,c_19025]) ).
tff(c_19556,plain,
! [X4_7,X1_8] :
( ( multiply(X4_7,sk_c5) != sk_c5 )
| ( inverse(X4_7) != sk_c5 )
| ( inverse(X1_8) != sk_c5 )
| ( multiply(X1_8,sk_c5) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_18904]) ).
tff(c_28865,plain,
! [X4_7,X1_8] :
( ( identity != X4_7 )
| ( inverse(X4_7) != identity )
| ( inverse(X1_8) != identity )
| ( identity != X1_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19802,c_19649,c_19649,c_19649,c_19649,c_19802,c_19649,c_19649,c_19556]) ).
tff(c_28867,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_28865]) ).
tff(c_19654,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_19649,c_19649,c_18882]) ).
tff(c_28869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28867,c_19654]) ).
tff(c_28871,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_28865]) ).
tff(c_28873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28871,c_19654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP347-1 : 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
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:11:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 12.55/4.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.55/4.28
% 12.55/4.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.10/4.36
% 13.10/4.36 Inference rules
% 13.10/4.36 ----------------------
% 13.10/4.36 #Ref : 0
% 13.10/4.36 #Sup : 7145
% 13.10/4.36 #Fact : 0
% 13.10/4.36 #Define : 0
% 13.10/4.36 #Split : 30
% 13.10/4.36 #Chain : 0
% 13.10/4.36 #Close : 0
% 13.10/4.36
% 13.10/4.36 Ordering : KBO
% 13.10/4.36
% 13.10/4.36 Simplification rules
% 13.10/4.36 ----------------------
% 13.10/4.36 #Subsume : 6
% 13.10/4.36 #Demod : 16680
% 13.10/4.36 #Tautology : 5896
% 13.10/4.36 #SimpNegUnit : 59
% 13.10/4.36 #BackRed : 572
% 13.10/4.36
% 13.10/4.36 #Partial instantiations: 0
% 13.10/4.36 #Strategies tried : 1
% 13.10/4.36
% 13.10/4.36 Timing (in seconds)
% 13.10/4.36 ----------------------
% 13.10/4.36 Preprocessing : 0.50
% 13.10/4.36 Parsing : 0.21
% 13.10/4.36 CNF conversion : 0.03
% 13.10/4.36 Main loop : 2.70
% 13.10/4.36 Inferencing : 0.85
% 13.10/4.36 Reduction : 1.29
% 13.10/4.36 Demodulation : 1.12
% 13.10/4.36 BG Simplification : 0.09
% 13.10/4.36 Subsumption : 0.30
% 13.10/4.36 Abstraction : 0.15
% 13.10/4.36 MUC search : 0.00
% 13.10/4.36 Cooper : 0.00
% 13.10/4.36 Total : 3.34
% 13.10/4.36 Index Insertion : 0.00
% 13.10/4.36 Index Deletion : 0.00
% 13.10/4.36 Index Matching : 0.00
% 13.10/4.36 BG Taut test : 0.00
%------------------------------------------------------------------------------