TSTP Solution File: GRP387-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP387-1 : 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 : n008.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 10:41:09 EDT 2023
% Result : Unsatisfiable 13.13s 4.36s
% Output : CNFRefutation 13.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 39
% Syntax : Number of formulae : 475 ( 399 unt; 10 typ; 0 def)
% Number of atoms : 594 ( 576 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 262 ( 133 ~; 129 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 200 (; 200 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c5 ) ),
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_110,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X2,X1,X3,X4] :
( ( inverse(sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c7) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( multiply(X3,sk_c6) != sk_c5 )
| ( inverse(X3) != sk_c6 )
| ( inverse(X4) != sk_c5 )
| ( multiply(X4,sk_c7) != sk_c5 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c4) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c2) = 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_10,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_98,plain,
inverse(sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_102,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_98,c_4]) ).
tff(c_52,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_85,plain,
inverse(sk_c1) = sk_c7,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_89,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_12485,plain,
! [X_157,Y_158,Z_159] : ( multiply(multiply(X_157,Y_158),Z_159) = multiply(X_157,multiply(Y_158,Z_159)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12521,plain,
! [Z_159] : ( multiply(sk_c6,multiply(sk_c7,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_12485]) ).
tff(c_12542,plain,
! [Z_160] : ( multiply(sk_c6,multiply(sk_c7,Z_160)) = Z_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12521]) ).
tff(c_12560,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_12542]) ).
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_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_601,plain,
! [X_23,Z_24] : ( multiply(inverse(X_23),multiply(X_23,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_179]) ).
tff(c_696,plain,
! [X_27,Z_28] : ( multiply(inverse(inverse(X_27)),Z_28) = multiply(X_27,Z_28) ),
inference(superposition,[status(thm),theory(equality)],[c_189,c_601]) ).
tff(c_625,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_601]) ).
tff(c_707,plain,
! [X_27] : ( multiply(X_27,identity) = X_27 ),
inference(superposition,[status(thm),theory(equality)],[c_696,c_625]) ).
tff(c_38,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_114,plain,
multiply(sk_c7,sk_c5) = sk_c6,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_173,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c7,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_149]) ).
tff(c_191,plain,
! [Z_15] : ( multiply(sk_c6,multiply(sk_c7,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_203,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_114,c_191]) ).
tff(c_58,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_120,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_176,plain,
! [Z_14] : ( multiply(sk_c7,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_149]) ).
tff(c_225,plain,
! [Z_16] : ( multiply(sk_c7,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_176]) ).
tff(c_240,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_120,c_225]) ).
tff(c_187,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c7,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_173]) ).
tff(c_247,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_240,c_187]) ).
tff(c_253,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_203,c_247]) ).
tff(c_349,plain,
multiply(sk_c6,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_102]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_125,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_346,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_125]) ).
tff(c_564,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_349,c_346]) ).
tff(c_343,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_253,c_240]) ).
tff(c_565,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_564,c_564,c_343]) ).
tff(c_573,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_565]) ).
tff(c_405,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_349,c_346]) ).
tff(c_406,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_405,c_343]) ).
tff(c_414,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_406]) ).
tff(c_206,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_191]) ).
tff(c_419,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_414,c_206]) ).
tff(c_420,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_419]) ).
tff(c_352,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_85]) ).
tff(c_410,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_352]) ).
tff(c_434,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_420,c_410]) ).
tff(c_446,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_179]) ).
tff(c_481,plain,
! [X_20] : ( multiply(inverse(inverse(X_20)),identity) = X_20 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_446]) ).
tff(c_487,plain,
! [X_20] : ( multiply(inverse(inverse(inverse(X_20))),X_20) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_481,c_189]) ).
tff(c_267,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_85]) ).
tff(c_262,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_120]) ).
tff(c_68,plain,
! [X4_9,X3_8,X1_7,X2_6] :
( ( multiply(X4_9,sk_c7) != sk_c5 )
| ( inverse(X4_9) != sk_c5 )
| ( inverse(X3_8) != sk_c6 )
| ( multiply(X3_8,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(X1_7,sk_c7) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( inverse(sk_c7) != sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_256,plain,
! [X4_9,X3_8,X1_7,X2_6] :
( ( multiply(X4_9,sk_c7) != sk_c5 )
| ( inverse(X4_9) != sk_c5 )
| ( inverse(X3_8) != sk_c6 )
| ( multiply(X3_8,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(X1_7,sk_c7) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 )
| ( inverse(X2_6) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_125,c_114,c_68]) ).
tff(c_257,plain,
! [X2_6] :
( ( multiply(X2_6,sk_c6) != sk_c7 )
| ( inverse(X2_6) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_256]) ).
tff(c_319,plain,
! [X2_17] :
( ( multiply(X2_17,sk_c6) != sk_c5 )
| ( inverse(X2_17) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_253,c_253,c_257]) ).
tff(c_322,plain,
inverse(sk_c1) != sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_262,c_319]) ).
tff(c_341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_267,c_322]) ).
tff(c_342,plain,
! [X1_7,X3_8,X4_9] :
( ( inverse(X1_7) != sk_c7 )
| ( multiply(X1_7,sk_c7) != sk_c6 )
| ( inverse(X3_8) != sk_c6 )
| ( multiply(X3_8,sk_c6) != sk_c5 )
| ( multiply(X4_9,sk_c7) != sk_c5 )
| ( inverse(X4_9) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_256]) ).
tff(c_403,plain,
! [X1_7,X3_8,X4_9] :
( ( inverse(X1_7) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 )
| ( inverse(X3_8) != sk_c6 )
| ( multiply(X3_8,sk_c6) != sk_c5 )
| ( multiply(X4_9,sk_c5) != sk_c5 )
| ( inverse(X4_9) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_253,c_253,c_253,c_342]) ).
tff(c_404,plain,
! [X4_9] :
( ( multiply(X4_9,sk_c5) != sk_c5 )
| ( inverse(X4_9) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_403]) ).
tff(c_538,plain,
! [X4_22] :
( ( multiply(X4_22,identity) != identity )
| ( inverse(X4_22) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_405,c_405,c_404]) ).
tff(c_542,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_487,c_538]) ).
tff(c_561,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_434,c_434,c_434,c_434,c_542]) ).
tff(c_562,plain,
! [X3_8,X1_7] :
( ( inverse(X3_8) != sk_c6 )
| ( multiply(X3_8,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c5 )
| ( multiply(X1_7,sk_c5) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_403]) ).
tff(c_11263,plain,
! [X3_8,X1_7] :
( ( inverse(X3_8) != identity )
| ( identity != X3_8 )
| ( inverse(X1_7) != identity )
| ( identity != X1_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_707,c_573,c_564,c_564,c_707,c_573,c_564,c_573,c_562]) ).
tff(c_11265,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_11263]) ).
tff(c_578,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_573,c_206]) ).
tff(c_579,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_578]) ).
tff(c_569,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_564,c_352]) ).
tff(c_592,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_579,c_569]) ).
tff(c_11267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11265,c_592]) ).
tff(c_11269,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_11263]) ).
tff(c_11271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11269,c_592]) ).
tff(c_11273,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_26,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_11287,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11273,c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c3,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_11324,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11273,c_24]) ).
tff(c_11338,plain,
! [X_135,Y_136,Z_137] : ( multiply(multiply(X_135,Y_136),Z_137) = multiply(X_135,multiply(Y_136,Z_137)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11383,plain,
! [X_2,Z_137] : ( multiply(inverse(X_2),multiply(X_2,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11338]) ).
tff(c_11549,plain,
! [X_141,Z_142] : ( multiply(inverse(X_141),multiply(X_141,Z_142)) = Z_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11383]) ).
tff(c_11582,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_11324,c_11549]) ).
tff(c_11604,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11287,c_11582]) ).
tff(c_11396,plain,
! [X_2,Z_137] : ( multiply(inverse(X_2),multiply(X_2,Z_137)) = Z_137 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11383]) ).
tff(c_11616,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_11604,c_11396]) ).
tff(c_11622,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_11616]) ).
tff(c_11377,plain,
! [Z_137] : ( multiply(sk_c6,multiply(sk_c7,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_11338]) ).
tff(c_11398,plain,
! [Z_138] : ( multiply(sk_c6,multiply(sk_c7,Z_138)) = Z_138 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11377]) ).
tff(c_11413,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_114,c_11398]) ).
tff(c_11380,plain,
! [Z_137] : ( multiply(sk_c7,multiply(sk_c1,Z_137)) = multiply(identity,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_11338]) ).
tff(c_11482,plain,
! [Z_140] : ( multiply(sk_c7,multiply(sk_c1,Z_140)) = Z_140 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11380]) ).
tff(c_11503,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_120,c_11482]) ).
tff(c_11394,plain,
! [Z_137] : ( multiply(sk_c6,multiply(sk_c7,Z_137)) = Z_137 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11377]) ).
tff(c_11510,plain,
multiply(sk_c6,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11503,c_11394]) ).
tff(c_11516,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11413,c_11510]) ).
tff(c_11530,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11516,c_85]) ).
tff(c_11545,plain,
multiply(sk_c5,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11530,c_4]) ).
tff(c_11635,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11622,c_11545]) ).
tff(c_11416,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_11398]) ).
tff(c_11624,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11622,c_11604]) ).
tff(c_11630,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11416,c_11624]) ).
tff(c_11643,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_11635,c_11630]) ).
tff(c_11524,plain,
multiply(sk_c6,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_11516,c_11273]) ).
tff(c_11726,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11643,c_11622,c_11622,c_11524]) ).
tff(c_11727,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_11732,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11727,c_4]) ).
tff(c_12554,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_11732,c_12542]) ).
tff(c_12581,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12560,c_12554]) ).
tff(c_11728,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_56,plain,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_12466,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11728,c_56]) ).
tff(c_12582,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12581,c_12466]) ).
tff(c_12524,plain,
! [Z_159] : ( multiply(sk_c7,multiply(sk_c1,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_12485]) ).
tff(c_12598,plain,
! [Z_161] : ( multiply(sk_c7,multiply(sk_c1,Z_161)) = Z_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12524]) ).
tff(c_12613,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12582,c_12598]) ).
tff(c_12538,plain,
! [Z_159] : ( multiply(sk_c6,multiply(sk_c7,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12521]) ).
tff(c_12639,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12613,c_12538]) ).
tff(c_12645,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_12639]) ).
tff(c_12557,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_114,c_12542]) ).
tff(c_12651,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12645,c_12645,c_12557]) ).
tff(c_12663,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12651]) ).
tff(c_11798,plain,
! [X_144,Y_145,Z_146] : ( multiply(multiply(X_144,Y_145),Z_146) = multiply(X_144,multiply(Y_145,Z_146)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_11837,plain,
! [Z_146] : ( multiply(sk_c6,multiply(sk_c7,Z_146)) = multiply(identity,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_11798]) ).
tff(c_11858,plain,
! [Z_147] : ( multiply(sk_c6,multiply(sk_c7,Z_147)) = Z_147 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11837]) ).
tff(c_11876,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_11858]) ).
tff(c_11870,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_11732,c_11858]) ).
tff(c_12046,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_11876,c_11870]) ).
tff(c_11784,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_11728,c_56]) ).
tff(c_12047,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12046,c_11784]) ).
tff(c_11840,plain,
! [Z_146] : ( multiply(sk_c7,multiply(sk_c1,Z_146)) = multiply(identity,Z_146) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_11798]) ).
tff(c_12210,plain,
! [Z_154] : ( multiply(sk_c7,multiply(sk_c1,Z_154)) = Z_154 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11840]) ).
tff(c_12225,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12047,c_12210]) ).
tff(c_11854,plain,
! [Z_146] : ( multiply(sk_c6,multiply(sk_c7,Z_146)) = Z_146 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_11837]) ).
tff(c_12232,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12225,c_11854]) ).
tff(c_12238,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_12232]) ).
tff(c_11873,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_114,c_11858]) ).
tff(c_12243,plain,
multiply(identity,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12238,c_12238,c_11873]) ).
tff(c_12254,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12243]) ).
tff(c_11736,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_12248,plain,
multiply(identity,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12238,c_11736]) ).
tff(c_12255,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12248]) ).
tff(c_12282,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12254,c_12255]) ).
tff(c_12242,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12238,c_11876]) ).
tff(c_12253,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12242]) ).
tff(c_12249,plain,
multiply(sk_c1,identity) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12238,c_11728]) ).
tff(c_12419,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12282,c_2,c_12253,c_12249]) ).
tff(c_12421,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_12656,plain,
multiply(identity,sk_c5) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_12645,c_12421]) ).
tff(c_12664,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12656]) ).
tff(c_12685,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12663,c_12664]) ).
tff(c_12659,plain,
multiply(identity,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12645,c_102]) ).
tff(c_12527,plain,
! [X_2,Z_159] : ( multiply(inverse(X_2),multiply(X_2,Z_159)) = multiply(identity,Z_159) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12485]) ).
tff(c_12540,plain,
! [X_2,Z_159] : ( multiply(inverse(X_2),multiply(X_2,Z_159)) = Z_159 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12527]) ).
tff(c_12774,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12659,c_12540]) ).
tff(c_12786,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12774]) ).
tff(c_12788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12685,c_12786]) ).
tff(c_12789,plain,
inverse(sk_c3) = sk_c6,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_12790,plain,
multiply(sk_c7,sk_c5) != sk_c6,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_36,plain,
( ( multiply(sk_c3,sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_14166,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12790,c_36]) ).
tff(c_14187,plain,
! [X_191,Y_192,Z_193] : ( multiply(multiply(X_191,Y_192),Z_193) = multiply(X_191,multiply(Y_192,Z_193)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14226,plain,
! [X_2,Z_193] : ( multiply(inverse(X_2),multiply(X_2,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14187]) ).
tff(c_14295,plain,
! [X_195,Z_196] : ( multiply(inverse(X_195),multiply(X_195,Z_196)) = Z_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14226]) ).
tff(c_14328,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14166,c_14295]) ).
tff(c_14364,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12789,c_14328]) ).
tff(c_14239,plain,
! [X_2,Z_193] : ( multiply(inverse(X_2),multiply(X_2,Z_193)) = Z_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14226]) ).
tff(c_14381,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14364,c_14239]) ).
tff(c_14387,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14381]) ).
tff(c_12866,plain,
! [X_165,Y_166,Z_167] : ( multiply(multiply(X_165,Y_166),Z_167) = multiply(X_165,multiply(Y_166,Z_167)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12905,plain,
! [Z_167] : ( multiply(sk_c6,multiply(sk_c7,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_12866]) ).
tff(c_12926,plain,
! [Z_168] : ( multiply(sk_c6,multiply(sk_c7,Z_168)) = Z_168 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12905]) ).
tff(c_12941,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_12926]) ).
tff(c_34,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_12816,plain,
inverse(sk_c2) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_12790,c_34]) ).
tff(c_12820,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12816,c_4]) ).
tff(c_12938,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_12820,c_12926]) ).
tff(c_12955,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12941,c_12938]) ).
tff(c_32,plain,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_12861,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12790,c_32]) ).
tff(c_12964,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12955,c_12861]) ).
tff(c_12908,plain,
! [Z_167] : ( multiply(sk_c7,multiply(sk_c1,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_12866]) ).
tff(c_13014,plain,
! [Z_170] : ( multiply(sk_c7,multiply(sk_c1,Z_170)) = Z_170 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12908]) ).
tff(c_13029,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_12964,c_13014]) ).
tff(c_12911,plain,
! [X_2,Z_167] : ( multiply(inverse(X_2),multiply(X_2,Z_167)) = multiply(identity,Z_167) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_12866]) ).
tff(c_13057,plain,
! [X_171,Z_172] : ( multiply(inverse(X_171),multiply(X_171,Z_172)) = Z_172 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12911]) ).
tff(c_13075,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13029,c_13057]) ).
tff(c_13148,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_98,c_13075]) ).
tff(c_13180,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13148,c_12941]) ).
tff(c_13185,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13180]) ).
tff(c_12810,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_12854,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12790,c_36]) ).
tff(c_13105,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12854,c_13057]) ).
tff(c_13153,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12810,c_12789,c_13105]) ).
tff(c_13173,plain,
inverse(sk_c1) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13153,c_85]) ).
tff(c_13247,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13185,c_13148,c_13173]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_12833,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12790,c_40]) ).
tff(c_12837,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12833,c_4]) ).
tff(c_12980,plain,
! [Z_169] : ( multiply(sk_c6,multiply(sk_c5,Z_169)) = multiply(sk_c7,Z_169) ),
inference(superposition,[status(thm),theory(equality)],[c_12810,c_12866]) ).
tff(c_12992,plain,
multiply(sk_c7,sk_c4) = multiply(sk_c6,identity),
inference(superposition,[status(thm),theory(equality)],[c_12837,c_12980]) ).
tff(c_12996,plain,
multiply(sk_c7,sk_c4) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_12941,c_12992]) ).
tff(c_12922,plain,
! [Z_167] : ( multiply(sk_c6,multiply(sk_c7,Z_167)) = Z_167 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12905]) ).
tff(c_13000,plain,
multiply(sk_c6,sk_c1) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_12996,c_12922]) ).
tff(c_13179,plain,
multiply(identity,sk_c1) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_13148,c_13000]) ).
tff(c_13184,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13179]) ).
tff(c_13236,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13185,c_13184]) ).
tff(c_13238,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_13236,c_12833]) ).
tff(c_13274,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13247,c_13238]) ).
tff(c_13169,plain,
multiply(sk_c6,sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13153,c_12790]) ).
tff(c_13311,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13274,c_13148,c_2,c_13148,c_13169]) ).
tff(c_13313,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_13358,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13313,c_24]) ).
tff(c_13371,plain,
! [X_174,Y_175,Z_176] : ( multiply(multiply(X_174,Y_175),Z_176) = multiply(X_174,multiply(Y_175,Z_176)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13413,plain,
! [X_2,Z_176] : ( multiply(inverse(X_2),multiply(X_2,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13371]) ).
tff(c_13482,plain,
! [X_178,Z_179] : ( multiply(inverse(X_178),multiply(X_178,Z_179)) = Z_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13413]) ).
tff(c_13512,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13358,c_13482]) ).
tff(c_13553,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12789,c_13512]) ).
tff(c_13426,plain,
! [X_2,Z_176] : ( multiply(inverse(X_2),multiply(X_2,Z_176)) = Z_176 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13413]) ).
tff(c_13562,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_13553,c_13426]) ).
tff(c_13568,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13562]) ).
tff(c_13312,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_42,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_13353,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12790,c_42]) ).
tff(c_13515,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13353,c_13482]) ).
tff(c_13554,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13312,c_13515]) ).
tff(c_13696,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_13568,c_2,c_13568,c_13554]) ).
tff(c_13407,plain,
! [Z_176] : ( multiply(sk_c6,multiply(sk_c7,Z_176)) = multiply(identity,Z_176) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13371]) ).
tff(c_13430,plain,
! [Z_177] : ( multiply(sk_c6,multiply(sk_c7,Z_177)) = Z_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13407]) ).
tff(c_13445,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_13430]) ).
tff(c_13570,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13568,c_13553]) ).
tff(c_13576,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13445,c_13570]) ).
tff(c_13558,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13553,c_13313]) ).
tff(c_13617,plain,
sk_c7 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13576,c_13558]) ).
tff(c_13700,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_13696,c_13617]) ).
tff(c_12805,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_13524,plain,
multiply(inverse(sk_c1),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12805,c_13482]) ).
tff(c_13555,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_85,c_13524]) ).
tff(c_13684,plain,
multiply(sk_c7,sk_c7) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13576,c_13555]) ).
tff(c_13697,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13696,c_13696,c_13684]) ).
tff(c_13703,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13697]) ).
tff(c_13720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13700,c_13703]) ).
tff(c_13722,plain,
multiply(sk_c1,sk_c6) != sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_13735,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13722,c_64]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_14172,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_13722,c_66]) ).
tff(c_14325,plain,
multiply(inverse(sk_c4),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14172,c_14295]) ).
tff(c_14363,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_13735,c_14325]) ).
tff(c_14426,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_14387,c_14387,c_14363]) ).
tff(c_14433,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14426]) ).
tff(c_14220,plain,
! [Z_193] : ( multiply(sk_c6,multiply(sk_c7,Z_193)) = multiply(identity,Z_193) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_14187]) ).
tff(c_14243,plain,
! [Z_194] : ( multiply(sk_c6,multiply(sk_c7,Z_194)) = Z_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14220]) ).
tff(c_14258,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_14243]) ).
tff(c_14425,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14387,c_14364]) ).
tff(c_14432,plain,
sk_c6 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14258,c_14425]) ).
tff(c_13785,plain,
! [X_182,Y_183,Z_184] : ( multiply(multiply(X_182,Y_183),Z_184) = multiply(X_182,multiply(Y_183,Z_184)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_13821,plain,
! [Z_184] : ( multiply(sk_c6,multiply(sk_c7,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_13785]) ).
tff(c_13857,plain,
! [Z_186] : ( multiply(sk_c6,multiply(sk_c7,Z_186)) = Z_186 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13821]) ).
tff(c_13875,plain,
multiply(sk_c6,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_89,c_13857]) ).
tff(c_13721,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_13726,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_13721,c_4]) ).
tff(c_13872,plain,
multiply(sk_c6,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_13726,c_13857]) ).
tff(c_13904,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_13875,c_13872]) ).
tff(c_13757,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_12790,c_32]) ).
tff(c_13913,plain,
multiply(sk_c1,sk_c7) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13904,c_13757]) ).
tff(c_13824,plain,
! [Z_184] : ( multiply(sk_c7,multiply(sk_c1,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_13785]) ).
tff(c_13839,plain,
! [Z_184] : ( multiply(sk_c7,multiply(sk_c1,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13824]) ).
tff(c_13925,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_13913,c_13839]) ).
tff(c_13827,plain,
! [X_2,Z_184] : ( multiply(inverse(X_2),multiply(X_2,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13785]) ).
tff(c_13954,plain,
! [X_188,Z_189] : ( multiply(inverse(X_188),multiply(X_188,Z_189)) = Z_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_13827]) ).
tff(c_13972,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13925,c_13954]) ).
tff(c_14036,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_98,c_13972]) ).
tff(c_14064,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14036,c_13875]) ).
tff(c_14068,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14064]) ).
tff(c_13762,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_13767,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_12790,c_36]) ).
tff(c_13999,plain,
multiply(inverse(sk_c3),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_13767,c_13954]) ).
tff(c_14041,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_13762,c_12789,c_13999]) ).
tff(c_14053,plain,
multiply(sk_c1,sk_c6) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14041,c_13722]) ).
tff(c_14163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14068,c_14036,c_14036,c_14053]) ).
tff(c_14165,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_14377,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14364,c_14165]) ).
tff(c_14438,plain,
sk_c7 != sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_14432,c_14377]) ).
tff(c_14457,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14433,c_14438]) ).
tff(c_14452,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14433,c_85]) ).
tff(c_14475,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14452,c_4]) ).
tff(c_14505,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_14475,c_14239]) ).
tff(c_14517,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14505]) ).
tff(c_14519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14457,c_14517]) ).
tff(c_14521,plain,
inverse(sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12,plain,
( ( multiply(sk_c3,sk_c6) = sk_c5 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_14558,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14521,c_12]) ).
tff(c_14,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_14546,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14521,c_14]) ).
tff(c_14550,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14546,c_4]) ).
tff(c_14594,plain,
! [X_198,Y_199,Z_200] : ( multiply(multiply(X_198,Y_199),Z_200) = multiply(X_198,multiply(Y_199,Z_200)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14618,plain,
! [Z_200] : ( multiply(sk_c6,multiply(sk_c3,Z_200)) = multiply(identity,Z_200) ),
inference(superposition,[status(thm),theory(equality)],[c_14550,c_14594]) ).
tff(c_14644,plain,
! [Z_201] : ( multiply(sk_c6,multiply(sk_c3,Z_201)) = Z_201 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14618]) ).
tff(c_14656,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_14558,c_14644]) ).
tff(c_14630,plain,
! [X_2,Z_200] : ( multiply(inverse(X_2),multiply(X_2,Z_200)) = multiply(identity,Z_200) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14594]) ).
tff(c_14765,plain,
! [X_205,Z_206] : ( multiply(inverse(X_205),multiply(X_205,Z_206)) = Z_206 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14630]) ).
tff(c_14798,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_14656,c_14765]) ).
tff(c_14830,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14798]) ).
tff(c_18,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_14573,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14521,c_18]) ).
tff(c_16,plain,
( ( inverse(sk_c4) = sk_c5 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_14533,plain,
inverse(sk_c4) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14521,c_16]) ).
tff(c_14537,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14533,c_4]) ).
tff(c_14621,plain,
! [Z_200] : ( multiply(sk_c5,multiply(sk_c4,Z_200)) = multiply(identity,Z_200) ),
inference(superposition,[status(thm),theory(equality)],[c_14537,c_14594]) ).
tff(c_14668,plain,
! [Z_202] : ( multiply(sk_c5,multiply(sk_c4,Z_202)) = Z_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14621]) ).
tff(c_14680,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_14573,c_14668]) ).
tff(c_14704,plain,
! [Z_204] : ( multiply(sk_c3,multiply(sk_c6,Z_204)) = multiply(sk_c5,Z_204) ),
inference(superposition,[status(thm),theory(equality)],[c_14558,c_14594]) ).
tff(c_14719,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_14656,c_14704]) ).
tff(c_14729,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14680,c_14558,c_14719]) ).
tff(c_14738,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14729,c_85]) ).
tff(c_14835,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14830,c_14738]) ).
tff(c_14860,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14835,c_4]) ).
tff(c_14642,plain,
! [X_2,Z_200] : ( multiply(inverse(X_2),multiply(X_2,Z_200)) = Z_200 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14630]) ).
tff(c_14867,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_14860,c_14642]) ).
tff(c_14879,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14867]) ).
tff(c_14883,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14879,c_14835]) ).
tff(c_14735,plain,
inverse(sk_c5) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14729,c_14521]) ).
tff(c_14837,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14830,c_14735]) ).
tff(c_14940,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_14883,c_14837]) ).
tff(c_14520,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14736,plain,
inverse(sk_c2) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_14729,c_14520]) ).
tff(c_14836,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_14830,c_14736]) ).
tff(c_8,plain,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_14578,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14521,c_8]) ).
tff(c_14732,plain,
multiply(sk_c2,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14729,c_14578]) ).
tff(c_14982,plain,
multiply(sk_c2,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_14830,c_14732]) ).
tff(c_14986,plain,
multiply(inverse(sk_c2),sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14982,c_14642]) ).
tff(c_14992,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14836,c_14986]) ).
tff(c_14994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14940,c_14992]) ).
tff(c_14996,plain,
inverse(sk_c1) != sk_c7,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_48,plain,
( ( multiply(sk_c3,sk_c6) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_28665,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14996,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_28644,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14996,c_50]) ).
tff(c_28648,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28644,c_4]) ).
tff(c_28699,plain,
! [X_345,Y_346,Z_347] : ( multiply(multiply(X_345,Y_346),Z_347) = multiply(X_345,multiply(Y_346,Z_347)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_28723,plain,
! [Z_347] : ( multiply(sk_c6,multiply(sk_c3,Z_347)) = multiply(identity,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_28648,c_28699]) ).
tff(c_28745,plain,
! [Z_348] : ( multiply(sk_c6,multiply(sk_c3,Z_348)) = Z_348 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28723]) ).
tff(c_28757,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28665,c_28745]) ).
tff(c_28732,plain,
! [X_2,Z_347] : ( multiply(inverse(X_2),multiply(X_2,Z_347)) = multiply(identity,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_28699]) ).
tff(c_28855,plain,
! [X_352,Z_353] : ( multiply(inverse(X_352),multiply(X_352,Z_353)) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28732]) ).
tff(c_28894,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_28757,c_28855]) ).
tff(c_28940,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28894]) ).
tff(c_54,plain,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_28672,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14996,c_54]) ).
tff(c_14995,plain,
inverse(sk_c4) = sk_c5,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_15000,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_14995,c_4]) ).
tff(c_28729,plain,
! [Z_347] : ( multiply(sk_c5,multiply(sk_c4,Z_347)) = multiply(identity,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_15000,c_28699]) ).
tff(c_28829,plain,
! [Z_351] : ( multiply(sk_c5,multiply(sk_c4,Z_351)) = Z_351 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28729]) ).
tff(c_28844,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28672,c_28829]) ).
tff(c_28992,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_28940,c_28940,c_28844]) ).
tff(c_28999,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28992]) ).
tff(c_44,plain,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_28660,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14996,c_44]) ).
tff(c_15055,plain,
multiply(sk_c3,sk_c6) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14996,c_48]) ).
tff(c_15034,plain,
inverse(sk_c3) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14996,c_50]) ).
tff(c_15038,plain,
multiply(sk_c6,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15034,c_4]) ).
tff(c_15082,plain,
! [X_208,Y_209,Z_210] : ( multiply(multiply(X_208,Y_209),Z_210) = multiply(X_208,multiply(Y_209,Z_210)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_15106,plain,
! [Z_210] : ( multiply(sk_c6,multiply(sk_c3,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_15038,c_15082]) ).
tff(c_15132,plain,
! [Z_211] : ( multiply(sk_c6,multiply(sk_c3,Z_211)) = Z_211 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15106]) ).
tff(c_15144,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15055,c_15132]) ).
tff(c_15118,plain,
! [X_2,Z_210] : ( multiply(inverse(X_2),multiply(X_2,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15082]) ).
tff(c_15417,plain,
! [X_218,Z_219] : ( multiply(inverse(X_218),multiply(X_218,Z_219)) = Z_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15118]) ).
tff(c_15447,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_15144,c_15417]) ).
tff(c_15478,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15447]) ).
tff(c_15130,plain,
! [X_2,Z_210] : ( multiply(inverse(X_2),multiply(X_2,Z_210)) = Z_210 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15118]) ).
tff(c_15646,plain,
! [X_222,Z_223] : ( multiply(inverse(inverse(X_222)),Z_223) = multiply(X_222,Z_223) ),
inference(superposition,[status(thm),theory(equality)],[c_15130,c_15417]) ).
tff(c_15471,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_15417]) ).
tff(c_15653,plain,
! [X_222] : ( multiply(X_222,identity) = X_222 ),
inference(superposition,[status(thm),theory(equality)],[c_15646,c_15471]) ).
tff(c_15008,plain,
inverse(sk_c7) = sk_c6,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_15020,plain,
multiply(sk_c6,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15008,c_4]) ).
tff(c_15047,plain,
multiply(sk_c2,sk_c7) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_14996,c_44]) ).
tff(c_46,plain,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_15009,plain,
inverse(sk_c2) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_14996,c_46]) ).
tff(c_15013,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15009,c_4]) ).
tff(c_15112,plain,
! [Z_210] : ( multiply(sk_c7,multiply(sk_c2,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_15013,c_15082]) ).
tff(c_15181,plain,
! [Z_213] : ( multiply(sk_c7,multiply(sk_c2,Z_213)) = Z_213 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15112]) ).
tff(c_15193,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15047,c_15181]) ).
tff(c_15109,plain,
! [Z_210] : ( multiply(sk_c6,multiply(sk_c7,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_15020,c_15082]) ).
tff(c_15245,plain,
! [Z_215] : ( multiply(sk_c6,multiply(sk_c7,Z_215)) = Z_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15109]) ).
tff(c_15257,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_15193,c_15245]) ).
tff(c_15267,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15020,c_15257]) ).
tff(c_15172,plain,
! [X4_9,X3_8,X1_7,X2_6] :
( ( multiply(X4_9,sk_c7) != sk_c5 )
| ( inverse(X4_9) != sk_c5 )
| ( inverse(X3_8) != sk_c6 )
| ( multiply(X3_8,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(X1_7,sk_c7) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 )
| ( inverse(X2_6) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( sk_c7 != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15008,c_15144,c_68]) ).
tff(c_15173,plain,
sk_c7 != sk_c6,
inference(splitLeft,[status(thm)],[c_15172]) ).
tff(c_15273,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_15267,c_15173]) ).
tff(c_15281,plain,
inverse(sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15267,c_15008]) ).
tff(c_15350,plain,
multiply(identity,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_15281,c_4]) ).
tff(c_15367,plain,
multiply(inverse(identity),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15350,c_15130]) ).
tff(c_15379,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_15367]) ).
tff(c_15381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15273,c_15379]) ).
tff(c_15383,plain,
sk_c7 = sk_c6,
inference(splitRight,[status(thm)],[c_15172]) ).
tff(c_15063,plain,
multiply(sk_c4,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_14996,c_54]) ).
tff(c_15115,plain,
! [Z_210] : ( multiply(sk_c5,multiply(sk_c4,Z_210)) = multiply(identity,Z_210) ),
inference(superposition,[status(thm),theory(equality)],[c_15000,c_15082]) ).
tff(c_15155,plain,
! [Z_212] : ( multiply(sk_c5,multiply(sk_c4,Z_212)) = Z_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15115]) ).
tff(c_15167,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_15063,c_15155]) ).
tff(c_15409,plain,
multiply(sk_c5,sk_c5) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15383,c_15167]) ).
tff(c_15484,plain,
multiply(identity,identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15478,c_15478,c_15409]) ).
tff(c_15490,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_15484]) ).
tff(c_15498,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15490,c_15383]) ).
tff(c_15382,plain,
! [X2_6,X1_7,X3_8,X4_9] :
( ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c7 )
| ( inverse(X2_6) != sk_c7 )
| ( inverse(X1_7) != sk_c7 )
| ( multiply(X1_7,sk_c7) != sk_c6 )
| ( inverse(X3_8) != sk_c6 )
| ( multiply(X3_8,sk_c6) != sk_c5 )
| ( multiply(X4_9,sk_c7) != sk_c5 )
| ( inverse(X4_9) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_15172]) ).
tff(c_23772,plain,
! [X2_6,X1_7,X3_8,X4_9] :
( ( identity != X2_6 )
| ( inverse(X2_6) != identity )
| ( inverse(X1_7) != identity )
| ( identity != X1_7 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 )
| ( identity != X4_9 )
| ( inverse(X4_9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15478,c_15653,c_15498,c_15478,c_15653,c_15490,c_15478,c_15490,c_15653,c_15498,c_15490,c_15498,c_15498,c_15653,c_15498,c_15490,c_2,c_15498,c_15490,c_15478,c_15382]) ).
tff(c_23774,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23772]) ).
tff(c_15388,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_15383,c_15008]) ).
tff(c_15497,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_15490,c_15490,c_15388]) ).
tff(c_23776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23774,c_15497]) ).
tff(c_23777,plain,
! [X3_8,X1_7,X2_6] :
( ( inverse(X3_8) != identity )
| ( identity != X3_8 )
| ( inverse(X1_7) != identity )
| ( identity != X1_7 )
| ( identity != X2_6 )
| ( inverse(X2_6) != identity ) ),
inference(splitRight,[status(thm)],[c_23772]) ).
tff(c_27978,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_23777]) ).
tff(c_27980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27978,c_15497]) ).
tff(c_27981,plain,
! [X1_7,X3_8] :
( ( inverse(X1_7) != identity )
| ( identity != X1_7 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(splitRight,[status(thm)],[c_23777]) ).
tff(c_27983,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_27981]) ).
tff(c_27985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27983,c_15497]) ).
tff(c_28626,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_27981]) ).
tff(c_28628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28626,c_15497]) ).
tff(c_28629,plain,
inverse(sk_c2) = sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_28634,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_28629,c_4]) ).
tff(c_28726,plain,
! [Z_347] : ( multiply(sk_c7,multiply(sk_c2,Z_347)) = multiply(identity,Z_347) ),
inference(superposition,[status(thm),theory(equality)],[c_28634,c_28699]) ).
tff(c_28768,plain,
! [Z_349] : ( multiply(sk_c7,multiply(sk_c2,Z_349)) = Z_349 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28726]) ).
tff(c_28780,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_28660,c_28768]) ).
tff(c_28888,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_28780,c_28855]) ).
tff(c_28939,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28888]) ).
tff(c_28630,plain,
inverse(sk_c7) != sk_c6,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_28986,plain,
inverse(sk_c7) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28939,c_28630]) ).
tff(c_29071,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_28999,c_28986]) ).
tff(c_28984,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28939,c_28648]) ).
tff(c_29110,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_28984,c_2]) ).
tff(c_28985,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_28939,c_28644]) ).
tff(c_29120,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_29110,c_28985]) ).
tff(c_29124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29071,c_29120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:22:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 13.13/4.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.13/4.40
% 13.13/4.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.13/4.47
% 13.13/4.47 Inference rules
% 13.13/4.47 ----------------------
% 13.13/4.47 #Ref : 0
% 13.13/4.47 #Sup : 7189
% 13.13/4.47 #Fact : 0
% 13.13/4.47 #Define : 0
% 13.13/4.47 #Split : 20
% 13.13/4.47 #Chain : 0
% 13.13/4.47 #Close : 0
% 13.13/4.47
% 13.13/4.47 Ordering : KBO
% 13.13/4.47
% 13.13/4.47 Simplification rules
% 13.13/4.47 ----------------------
% 13.13/4.47 #Subsume : 8
% 13.13/4.47 #Demod : 17953
% 13.13/4.47 #Tautology : 5801
% 13.13/4.47 #SimpNegUnit : 85
% 13.13/4.47 #BackRed : 382
% 13.13/4.47
% 13.13/4.47 #Partial instantiations: 0
% 13.13/4.47 #Strategies tried : 1
% 13.13/4.47
% 13.13/4.47 Timing (in seconds)
% 13.13/4.47 ----------------------
% 13.13/4.47 Preprocessing : 0.50
% 13.13/4.47 Parsing : 0.21
% 13.13/4.47 CNF conversion : 0.03
% 13.13/4.48 Main loop : 2.82
% 13.13/4.48 Inferencing : 0.85
% 13.13/4.48 Reduction : 1.42
% 13.13/4.48 Demodulation : 1.27
% 13.13/4.48 BG Simplification : 0.08
% 13.13/4.48 Subsumption : 0.31
% 13.13/4.48 Abstraction : 0.17
% 13.13/4.48 MUC search : 0.00
% 13.13/4.48 Cooper : 0.00
% 13.13/4.48 Total : 3.45
% 13.13/4.48 Index Insertion : 0.00
% 13.13/4.48 Index Deletion : 0.00
% 13.13/4.48 Index Matching : 0.00
% 13.13/4.48 BG Taut test : 0.00
%------------------------------------------------------------------------------