TSTP Solution File: GRP363-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP363-1 : 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 : n018.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 10:41:04 EDT 2023
% Result : Unsatisfiable 8.49s 3.15s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 383 ( 306 unt; 10 typ; 0 def)
% Number of atoms : 487 ( 472 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 232 ( 118 ~; 114 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 147 (; 147 !; 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_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
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_71,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X2,X1,X3,X4] :
( ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(X2,sk_c6) != sk_c5 )
| ( inverse(X2) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( multiply(sk_c7,X3) != sk_c6 )
| ( multiply(X4,sk_c7) != X3 )
| ( inverse(X4) != sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( inverse(sk_c2) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c6) = sk_c5 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_48,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c6,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_77,plain,
multiply(sk_c6,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_24,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_85,plain,
inverse(sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_89,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_85,c_4]) ).
tff(c_1753,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_1789,plain,
! [Z_53] : ( multiply(sk_c5,multiply(sk_c6,Z_53)) = multiply(identity,Z_53) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_1753]) ).
tff(c_1809,plain,
! [Z_54] : ( multiply(sk_c5,multiply(sk_c6,Z_54)) = Z_54 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1789]) ).
tff(c_1830,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_1809]) ).
tff(c_12,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_1709,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_1827,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_1709,c_1809]) ).
tff(c_1795,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_1753]) ).
tff(c_2062,plain,
! [X_59,Z_60] : ( multiply(inverse(X_59),multiply(X_59,Z_60)) = Z_60 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1795]) ).
tff(c_2095,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1827,c_2062]) ).
tff(c_2115,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2095]) ).
tff(c_2120,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2115,c_1827]) ).
tff(c_2123,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1830,c_2120]) ).
tff(c_42,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_99,plain,
multiply(sk_c1,sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_1346,plain,
! [X_43,Y_44,Z_45] : ( multiply(multiply(X_43,Y_44),Z_45) = multiply(X_43,multiply(Y_44,Z_45)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1382,plain,
! [Z_45] : ( multiply(sk_c5,multiply(sk_c6,Z_45)) = multiply(identity,Z_45) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_1346]) ).
tff(c_1402,plain,
! [Z_46] : ( multiply(sk_c5,multiply(sk_c6,Z_46)) = Z_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1382]) ).
tff(c_1420,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_1402]) ).
tff(c_127,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_154,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_127]) ).
tff(c_164,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_154]) ).
tff(c_886,plain,
! [X_33,Z_34] : ( multiply(inverse(X_33),multiply(X_33,Z_34)) = Z_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_1027,plain,
! [X_36,Z_37] : ( multiply(inverse(inverse(X_36)),Z_37) = multiply(X_36,Z_37) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_886]) ).
tff(c_916,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_886]) ).
tff(c_1034,plain,
! [X_36] : ( multiply(X_36,identity) = X_36 ),
inference(superposition,[status(thm),theory(equality)],[c_1027,c_916]) ).
tff(c_151,plain,
! [Z_14] : ( multiply(sk_c6,multiply(sk_c1,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_127]) ).
tff(c_657,plain,
! [Z_27] : ( multiply(sk_c6,multiply(sk_c1,Z_27)) = Z_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_672,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_99,c_657]) ).
tff(c_18,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_108,plain,
multiply(sk_c6,sk_c5) = sk_c7,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_676,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_672,c_108]) ).
tff(c_148,plain,
! [Z_14] : ( multiply(sk_c5,multiply(sk_c6,Z_14)) = multiply(identity,Z_14) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_127]) ).
tff(c_166,plain,
! [Z_15] : ( multiply(sk_c5,multiply(sk_c6,Z_15)) = Z_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_148]) ).
tff(c_178,plain,
multiply(sk_c5,sk_c7) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_108,c_166]) ).
tff(c_691,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_676,c_178]) ).
tff(c_692,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_691]) ).
tff(c_702,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_692,c_85]) ).
tff(c_939,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_702,c_4]) ).
tff(c_946,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_939,c_164]) ).
tff(c_958,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_946]) ).
tff(c_722,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_702,c_4]) ).
tff(c_732,plain,
sk_c6 = identity,
inference(superposition,[status(thm),theory(equality)],[c_722,c_2]) ).
tff(c_181,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_166]) ).
tff(c_698,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_692,c_181]) ).
tff(c_703,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_698]) ).
tff(c_712,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_703,c_73]) ).
tff(c_753,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_732,c_712]) ).
tff(c_763,plain,
! [X_28,Z_29] : ( multiply(inverse(X_28),multiply(X_28,Z_29)) = Z_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_799,plain,
! [X_30] : ( multiply(inverse(inverse(X_30)),identity) = X_30 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_763]) ).
tff(c_805,plain,
! [X_30] : ( multiply(inverse(inverse(inverse(X_30))),X_30) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_799,c_164]) ).
tff(c_510,plain,
! [Z_23] : ( multiply(sk_c6,multiply(sk_c1,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_525,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_99,c_510]) ).
tff(c_529,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_525,c_108]) ).
tff(c_574,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_529,c_178]) ).
tff(c_575,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_574]) ).
tff(c_203,plain,
! [Z_16] : ( multiply(sk_c6,multiply(sk_c1,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_218,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_99,c_203]) ).
tff(c_252,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_218,c_108]) ).
tff(c_266,plain,
multiply(sk_c5,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_252,c_178]) ).
tff(c_267,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_266]) ).
tff(c_277,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_267,c_85]) ).
tff(c_337,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_277,c_4]) ).
tff(c_361,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_337,c_164]) ).
tff(c_373,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_361]) ).
tff(c_56,plain,
! [X4_9,X1_7,X2_6] :
( ( inverse(X4_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_9,sk_c7)) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_193,plain,
! [X4_9,X1_7,X2_6] :
( ( inverse(X4_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_9,sk_c7)) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_85,c_56]) ).
tff(c_194,plain,
multiply(sk_c6,sk_c7) != sk_c5,
inference(splitLeft,[status(thm)],[c_193]) ).
tff(c_265,plain,
multiply(sk_c6,sk_c6) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_252,c_194]) ).
tff(c_408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_373,c_2,c_373,c_267,c_265]) ).
tff(c_410,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(splitRight,[status(thm)],[c_193]) ).
tff(c_162,plain,
! [Z_14] : ( multiply(sk_c5,multiply(sk_c6,Z_14)) = Z_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_148]) ).
tff(c_414,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_410,c_162]) ).
tff(c_541,plain,
! [Z_24] : ( multiply(sk_c1,multiply(sk_c6,Z_24)) = multiply(sk_c5,Z_24) ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_127]) ).
tff(c_556,plain,
multiply(sk_c5,sk_c5) = multiply(sk_c1,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_525,c_541]) ).
tff(c_569,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_414,c_99,c_556]) ).
tff(c_602,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_575,c_569]) ).
tff(c_603,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_602,c_529]) ).
tff(c_582,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_575,c_181]) ).
tff(c_588,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_582]) ).
tff(c_595,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_588,c_73]) ).
tff(c_627,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_603,c_595]) ).
tff(c_409,plain,
! [X2_6,X1_7,X4_9] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X4_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_9,sk_c7)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_193]) ).
tff(c_492,plain,
! [X4_9] :
( ( inverse(X4_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_9,sk_c7)) != sk_c6 ) ),
inference(splitLeft,[status(thm)],[c_409]) ).
tff(c_609,plain,
! [X4_25] :
( ( inverse(X4_25) != identity )
| ( multiply(X4_25,identity) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_602,c_2,c_602,c_602,c_492]) ).
tff(c_621,plain,
( ( inverse(identity) != identity )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_609]) ).
tff(c_638,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_603,c_627,c_621]) ).
tff(c_639,plain,
! [X1_7,X2_6] :
( ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(splitRight,[status(thm)],[c_409]) ).
tff(c_708,plain,
! [X1_7,X2_6] :
( ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_692,c_676,c_639]) ).
tff(c_709,plain,
! [X2_6] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != identity ) ),
inference(splitLeft,[status(thm)],[c_708]) ).
tff(c_861,plain,
! [X2_32] :
( ( inverse(X2_32) != identity )
| ( multiply(X2_32,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_732,c_732,c_709]) ).
tff(c_865,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_805,c_861]) ).
tff(c_884,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_753,c_753,c_753,c_753,c_865]) ).
tff(c_885,plain,
! [X1_7] :
( ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_708]) ).
tff(c_1289,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1034,c_958,c_958,c_958,c_885]) ).
tff(c_926,plain,
inverse(identity) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_703,c_73]) ).
tff(c_975,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_958,c_926]) ).
tff(c_1291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1289,c_975]) ).
tff(c_1293,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_1306,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_1293,c_12]) ).
tff(c_1310,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1306,c_4]) ).
tff(c_1417,plain,
multiply(sk_c5,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1310,c_1402]) ).
tff(c_1441,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1420,c_1417]) ).
tff(c_10,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1339,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_1293,c_10]) ).
tff(c_1442,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_1441,c_1339]) ).
tff(c_1445,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_99,c_1442]) ).
tff(c_8,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1333,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_1293,c_8]) ).
tff(c_1414,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1333,c_1402]) ).
tff(c_1452,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_1445,c_1414]) ).
tff(c_1388,plain,
! [X_2,Z_45] : ( multiply(inverse(X_2),multiply(X_2,Z_45)) = multiply(identity,Z_45) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1346]) ).
tff(c_1523,plain,
! [X_48,Z_49] : ( multiply(inverse(X_48),multiply(X_48,Z_49)) = Z_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1388]) ).
tff(c_1547,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_1452,c_1523]) ).
tff(c_1592,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1547]) ).
tff(c_1453,plain,
multiply(sk_c6,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_1445,c_1333]) ).
tff(c_1568,plain,
multiply(inverse(sk_c1),sk_c5) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_99,c_1523]) ).
tff(c_1594,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_1453,c_73,c_1568]) ).
tff(c_1610,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1592,c_1594]) ).
tff(c_1457,plain,
multiply(sk_c6,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_1445,c_1293]) ).
tff(c_1689,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1610,c_1592,c_1592,c_1457]) ).
tff(c_1691,plain,
multiply(sk_c1,sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_32,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_1737,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_1691,c_32]) ).
tff(c_1835,plain,
! [X4_9,X1_7,X2_6] :
( ( inverse(X4_9) != sk_c7 )
| ( multiply(sk_c7,multiply(X4_9,sk_c7)) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c7 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1709,c_85,c_1737,c_56]) ).
tff(c_1877,plain,
! [X2_55] :
( ( inverse(X2_55) != sk_c6 )
| ( multiply(X2_55,sk_c6) != sk_c5 ) ),
inference(splitLeft,[status(thm)],[c_1835]) ).
tff(c_1891,plain,
( ( inverse(inverse(sk_c6)) != sk_c6 )
| ( sk_c5 != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1877]) ).
tff(c_1898,plain,
( ( inverse(sk_c5) != sk_c6 )
| ( sk_c5 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85,c_1891]) ).
tff(c_1984,plain,
sk_c5 != identity,
inference(splitLeft,[status(thm)],[c_1898]) ).
tff(c_2131,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2123,c_1984]) ).
tff(c_1690,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_1695,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1690,c_4]) ).
tff(c_1900,plain,
! [Z_56] : ( multiply(sk_c6,multiply(sk_c5,Z_56)) = multiply(sk_c7,Z_56) ),
inference(superposition,[status(thm),theory(equality)],[c_1709,c_1753]) ).
tff(c_1921,plain,
multiply(sk_c7,identity) = multiply(sk_c6,sk_c1),
inference(superposition,[status(thm),theory(equality)],[c_1830,c_1900]) ).
tff(c_1933,plain,
multiply(sk_c7,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_77,c_1921]) ).
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_1951,plain,
! [Z_5] : ( multiply(sk_c7,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_1933,c_6]) ).
tff(c_1961,plain,
! [Z_57] : ( multiply(sk_c7,Z_57) = Z_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_1951]) ).
tff(c_1980,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_1695,c_1961]) ).
tff(c_40,plain,
( ( multiply(sk_c3,sk_c7) = sk_c4 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1729,plain,
multiply(sk_c3,sk_c7) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_1691,c_40]) ).
tff(c_1777,plain,
! [Z_53] : ( multiply(sk_c3,multiply(sk_c7,Z_53)) = multiply(sk_c4,Z_53) ),
inference(superposition,[status(thm),theory(equality)],[c_1729,c_1753]) ).
tff(c_2198,plain,
! [Z_53] : ( multiply(sk_c4,Z_53) = Z_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2115,c_2,c_1980,c_1777]) ).
tff(c_1954,plain,
! [Z_5] : ( multiply(sk_c7,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_1951]) ).
tff(c_38,plain,
( ( multiply(sk_c7,sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_1742,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_1691,c_38]) ).
tff(c_1960,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_1954,c_1742]) ).
tff(c_1990,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_1960,c_1709]) ).
tff(c_2216,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2198,c_2123,c_2115,c_1990]) ).
tff(c_2217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2131,c_2216]) ).
tff(c_2219,plain,
sk_c5 = identity,
inference(splitRight,[status(thm)],[c_1898]) ).
tff(c_1895,plain,
( ( inverse(identity) != sk_c6 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1877]) ).
tff(c_1899,plain,
sk_c6 != sk_c5,
inference(splitLeft,[status(thm)],[c_1895]) ).
tff(c_2220,plain,
sk_c6 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2219,c_1899]) ).
tff(c_1821,plain,
multiply(sk_c5,sk_c5) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_1737,c_1809]) ).
tff(c_2224,plain,
multiply(identity,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2219,c_2219,c_1821]) ).
tff(c_2231,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2224]) ).
tff(c_2225,plain,
multiply(identity,identity) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2219,c_1830]) ).
tff(c_2232,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2225]) ).
tff(c_36,plain,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_1715,plain,
inverse(sk_c2) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_1691,c_36]) ).
tff(c_1719,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_1715,c_4]) ).
tff(c_1824,plain,
multiply(sk_c5,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_1719,c_1809]) ).
tff(c_1859,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1830,c_1824]) ).
tff(c_34,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_1748,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_1691,c_34]) ).
tff(c_1860,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_1859,c_1748]) ).
tff(c_2257,plain,
multiply(identity,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2232,c_1860]) ).
tff(c_2261,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2257]) ).
tff(c_2276,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2231,c_2261]) ).
tff(c_2277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2220,c_2276]) ).
tff(c_2279,plain,
sk_c6 = sk_c5,
inference(splitRight,[status(thm)],[c_1895]) ).
tff(c_2286,plain,
multiply(sk_c5,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2279,c_89]) ).
tff(c_2319,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2286,c_1821]) ).
tff(c_2330,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_1827]) ).
tff(c_2334,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1830,c_2330]) ).
tff(c_1869,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_1860,c_1691]) ).
tff(c_2329,plain,
sk_c5 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_1869]) ).
tff(c_2339,plain,
sk_c1 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2329]) ).
tff(c_2332,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_1695]) ).
tff(c_2399,plain,
sk_c3 = identity,
inference(superposition,[status(thm),theory(equality)],[c_2332,c_2]) ).
tff(c_2283,plain,
multiply(sk_c7,sk_c4) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2279,c_1742]) ).
tff(c_2355,plain,
sk_c4 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2,c_2319,c_2283]) ).
tff(c_2331,plain,
multiply(sk_c3,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_2319,c_1729]) ).
tff(c_2428,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2399,c_2355,c_2331]) ).
tff(c_2429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2339,c_2428]) ).
tff(c_2431,plain,
multiply(sk_c6,sk_c5) != sk_c7,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_14,plain,
( ( multiply(sk_c7,sk_c4) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_2460,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_2431,c_14]) ).
tff(c_2448,plain,
multiply(sk_c3,sk_c7) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_1691,c_40]) ).
tff(c_2476,plain,
! [X_63,Y_64,Z_65] : ( multiply(multiply(X_63,Y_64),Z_65) = multiply(X_63,multiply(Y_64,Z_65)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2515,plain,
! [X_2,Z_65] : ( multiply(inverse(X_2),multiply(X_2,Z_65)) = multiply(identity,Z_65) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2476]) ).
tff(c_2606,plain,
! [X_68,Z_69] : ( multiply(inverse(X_68),multiply(X_68,Z_69)) = Z_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2515]) ).
tff(c_2648,plain,
multiply(inverse(sk_c3),sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2448,c_2606]) ).
tff(c_2679,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2460,c_1690,c_2648]) ).
tff(c_2509,plain,
! [Z_65] : ( multiply(sk_c5,multiply(sk_c6,Z_65)) = multiply(identity,Z_65) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_2476]) ).
tff(c_2529,plain,
! [Z_66] : ( multiply(sk_c5,multiply(sk_c6,Z_66)) = Z_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2509]) ).
tff(c_2547,plain,
multiply(sk_c5,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_2529]) ).
tff(c_2430,plain,
inverse(sk_c2) = sk_c6,
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_2435,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2430,c_4]) ).
tff(c_2544,plain,
multiply(sk_c5,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_2435,c_2529]) ).
tff(c_2568,plain,
sk_c2 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_2547,c_2544]) ).
tff(c_2469,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2431,c_10]) ).
tff(c_2569,plain,
multiply(sk_c1,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_2568,c_2469]) ).
tff(c_2578,plain,
sk_c7 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2569,c_1691]) ).
tff(c_2683,plain,
sk_c6 != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2679,c_2578]) ).
tff(c_2453,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_2431,c_8]) ).
tff(c_2512,plain,
! [Z_65] : ( multiply(sk_c6,multiply(sk_c1,Z_65)) = multiply(identity,Z_65) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_2476]) ).
tff(c_2586,plain,
! [Z_67] : ( multiply(sk_c6,multiply(sk_c1,Z_67)) = Z_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2512]) ).
tff(c_2601,plain,
multiply(sk_c6,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2569,c_2586]) ).
tff(c_2605,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2453,c_2601]) ).
tff(c_2696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2683,c_2605]) ).
tff(c_2698,plain,
inverse(sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_26,plain,
( ( multiply(sk_c7,sk_c4) = sk_c6 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_2741,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_2698,c_26]) ).
tff(c_28,plain,
( ( multiply(sk_c3,sk_c7) = sk_c4 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_2736,plain,
multiply(sk_c3,sk_c7) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_2698,c_28]) ).
tff(c_30,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_2711,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2698,c_30]) ).
tff(c_2715,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2711,c_4]) ).
tff(c_2759,plain,
! [X_70,Y_71,Z_72] : ( multiply(multiply(X_70,Y_71),Z_72) = multiply(X_70,multiply(Y_71,Z_72)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_2786,plain,
! [Z_72] : ( multiply(sk_c7,multiply(sk_c3,Z_72)) = multiply(identity,Z_72) ),
inference(superposition,[status(thm),theory(equality)],[c_2715,c_2759]) ).
tff(c_2808,plain,
! [Z_73] : ( multiply(sk_c7,multiply(sk_c3,Z_73)) = Z_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2786]) ).
tff(c_2820,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2736,c_2808]) ).
tff(c_2824,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2741,c_2820]) ).
tff(c_20,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_2726,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_2698,c_20]) ).
tff(c_2829,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2824,c_2726]) ).
tff(c_2697,plain,
inverse(sk_c2) = sk_c6,
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_22,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_2731,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_2698,c_22]) ).
tff(c_2828,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_2824,c_2731]) ).
tff(c_2795,plain,
! [X_2,Z_72] : ( multiply(inverse(X_2),multiply(X_2,Z_72)) = multiply(identity,Z_72) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2759]) ).
tff(c_2880,plain,
! [X_74,Z_75] : ( multiply(inverse(X_74),multiply(X_74,Z_75)) = Z_75 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2795]) ).
tff(c_2907,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_2828,c_2880]) ).
tff(c_2940,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2829,c_2697,c_2907]) ).
tff(c_2947,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2940,c_2940,c_2829]) ).
tff(c_2806,plain,
! [X_2,Z_72] : ( multiply(inverse(X_2),multiply(X_2,Z_72)) = Z_72 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2795]) ).
tff(c_3049,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_2947,c_2806]) ).
tff(c_3055,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3049]) ).
tff(c_2953,plain,
inverse(sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2940,c_2698]) ).
tff(c_3061,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_3055,c_2953]) ).
tff(c_2956,plain,
inverse(sk_c1) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_2940,c_73]) ).
tff(c_2983,plain,
multiply(sk_c5,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_2956,c_4]) ).
tff(c_3112,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3055,c_2983]) ).
tff(c_3064,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2956]) ).
tff(c_3113,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3112,c_3064]) ).
tff(c_3115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3061,c_3113]) ).
tff(c_3117,plain,
inverse(sk_c1) != sk_c6,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_50,plain,
( ( multiply(sk_c7,sk_c4) = sk_c6 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_11973,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_3117,c_50]) ).
tff(c_3190,plain,
! [X_76,Y_77,Z_78] : ( multiply(multiply(X_76,Y_77),Z_78) = multiply(X_76,multiply(Y_77,Z_78)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3226,plain,
! [X_2,Z_78] : ( multiply(inverse(X_2),multiply(X_2,Z_78)) = multiply(identity,Z_78) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3190]) ).
tff(c_3634,plain,
! [X_86,Z_87] : ( multiply(inverse(X_86),multiply(X_86,Z_87)) = Z_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3226]) ).
tff(c_3237,plain,
! [X_2,Z_78] : ( multiply(inverse(X_2),multiply(X_2,Z_78)) = Z_78 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3226]) ).
tff(c_3991,plain,
! [X_93,Z_94] : ( multiply(inverse(inverse(X_93)),Z_94) = multiply(X_93,Z_94) ),
inference(superposition,[status(thm),theory(equality)],[c_3634,c_3237]) ).
tff(c_3691,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3634]) ).
tff(c_4002,plain,
! [X_93] : ( multiply(X_93,identity) = X_93 ),
inference(superposition,[status(thm),theory(equality)],[c_3991,c_3691]) ).
tff(c_3130,plain,
inverse(sk_c6) = sk_c5,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_3134,plain,
multiply(sk_c5,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3130,c_4]) ).
tff(c_3159,plain,
multiply(sk_c7,sk_c4) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_3117,c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c3,sk_c7) = sk_c4 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_3164,plain,
multiply(sk_c3,sk_c7) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_3117,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_3142,plain,
inverse(sk_c3) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3117,c_54]) ).
tff(c_3146,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3142,c_4]) ).
tff(c_3217,plain,
! [Z_78] : ( multiply(sk_c7,multiply(sk_c3,Z_78)) = multiply(identity,Z_78) ),
inference(superposition,[status(thm),theory(equality)],[c_3146,c_3190]) ).
tff(c_3239,plain,
! [Z_79] : ( multiply(sk_c7,multiply(sk_c3,Z_79)) = Z_79 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3217]) ).
tff(c_3251,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_3164,c_3239]) ).
tff(c_3255,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3159,c_3251]) ).
tff(c_44,plain,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_3171,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_3117,c_44]) ).
tff(c_3258,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3255,c_3171]) ).
tff(c_46,plain,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_3176,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_3117,c_46]) ).
tff(c_3257,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_3255,c_3176]) ).
tff(c_3116,plain,
inverse(sk_c2) = sk_c6,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_3121,plain,
multiply(sk_c6,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_3116,c_4]) ).
tff(c_3223,plain,
! [Z_78] : ( multiply(sk_c6,multiply(sk_c2,Z_78)) = multiply(identity,Z_78) ),
inference(superposition,[status(thm),theory(equality)],[c_3121,c_3190]) ).
tff(c_3314,plain,
! [Z_80] : ( multiply(sk_c6,multiply(sk_c2,Z_80)) = Z_80 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3223]) ).
tff(c_3326,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3257,c_3314]) ).
tff(c_3330,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3258,c_3326]) ).
tff(c_3336,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3330,c_3330,c_3258]) ).
tff(c_3449,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3336,c_3237]) ).
tff(c_3455,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3449]) ).
tff(c_3290,plain,
! [X4_9,X1_7,X2_6] :
( ( inverse(X4_9) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_9,sk_c6)) != sk_c6 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c6 )
| ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3255,c_3130,c_3258,c_3255,c_3255,c_3255,c_3255,c_3255,c_56]) ).
tff(c_3291,plain,
multiply(sk_c6,sk_c5) != sk_c6,
inference(splitLeft,[status(thm)],[c_3290]) ).
tff(c_3332,plain,
multiply(sk_c5,sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3330,c_3330,c_3291]) ).
tff(c_3585,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3455,c_3332]) ).
tff(c_3587,plain,
multiply(sk_c6,sk_c5) = sk_c6,
inference(splitRight,[status(thm)],[c_3290]) ).
tff(c_3661,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_3587,c_3634]) ).
tff(c_3701,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3134,c_3130,c_3661]) ).
tff(c_3617,plain,
! [Z_85] : ( multiply(sk_c6,multiply(sk_c2,Z_85)) = Z_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3223]) ).
tff(c_3629,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_3257,c_3617]) ).
tff(c_3633,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3258,c_3629]) ).
tff(c_3767,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_3633]) ).
tff(c_3586,plain,
! [X2_6,X1_7,X4_9] :
( ( inverse(X2_6) != sk_c6 )
| ( multiply(X2_6,sk_c6) != sk_c5 )
| ( inverse(X1_7) != sk_c6 )
| ( multiply(X1_7,sk_c6) != sk_c6 )
| ( inverse(X4_9) != sk_c6 )
| ( multiply(sk_c6,multiply(X4_9,sk_c6)) != sk_c6 ) ),
inference(splitRight,[status(thm)],[c_3290]) ).
tff(c_11941,plain,
! [X2_6,X1_7,X4_9] :
( ( inverse(X2_6) != identity )
| ( identity != X2_6 )
| ( inverse(X1_7) != identity )
| ( identity != X1_7 )
| ( inverse(X4_9) != identity )
| ( identity != X4_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4002,c_3767,c_3767,c_2,c_3767,c_3767,c_4002,c_3767,c_3767,c_3767,c_4002,c_3767,c_3701,c_3767,c_3586]) ).
tff(c_11943,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_11941]) ).
tff(c_3717,plain,
inverse(sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_3633,c_3130]) ).
tff(c_3825,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_3701,c_3717]) ).
tff(c_11945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11943,c_3825]) ).
tff(c_11946,plain,
! [X1_7,X2_6] :
( ( inverse(X1_7) != identity )
| ( identity != X1_7 )
| ( inverse(X2_6) != identity )
| ( identity != X2_6 ) ),
inference(splitRight,[status(thm)],[c_11941]) ).
tff(c_11948,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_11946]) ).
tff(c_11950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11948,c_3825]) ).
tff(c_11953,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_11946]) ).
tff(c_11955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11953,c_3825]) ).
tff(c_11957,plain,
inverse(sk_c6) != sk_c5,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_11991,plain,
multiply(sk_c3,sk_c7) = sk_c4,
inference(negUnitSimplification,[status(thm)],[c_11957,c_28]) ).
tff(c_11956,plain,
inverse(sk_c3) = sk_c7,
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_11961,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_11956,c_4]) ).
tff(c_12011,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_12038,plain,
! [Z_184] : ( multiply(sk_c7,multiply(sk_c3,Z_184)) = multiply(identity,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_11961,c_12011]) ).
tff(c_12056,plain,
! [Z_185] : ( multiply(sk_c7,multiply(sk_c3,Z_185)) = Z_185 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12038]) ).
tff(c_12068,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_11991,c_12056]) ).
tff(c_12072,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_11973,c_12068]) ).
tff(c_11978,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(negUnitSimplification,[status(thm)],[c_11957,c_20]) ).
tff(c_12076,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12072,c_11978]) ).
tff(c_11983,plain,
multiply(sk_c2,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_11957,c_22]) ).
tff(c_12075,plain,
multiply(sk_c2,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12072,c_11983]) ).
tff(c_12044,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_12011]) ).
tff(c_12128,plain,
! [X_186,Z_187] : ( multiply(inverse(X_186),multiply(X_186,Z_187)) = Z_187 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12044]) ).
tff(c_12158,plain,
multiply(inverse(sk_c2),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_12075,c_12128]) ).
tff(c_12182,plain,
sk_c6 = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12076,c_3116,c_12158]) ).
tff(c_12189,plain,
multiply(sk_c5,sk_c5) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12182,c_12182,c_12076]) ).
tff(c_12054,plain,
! [X_2,Z_184] : ( multiply(inverse(X_2),multiply(X_2,Z_184)) = Z_184 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12044]) ).
tff(c_12293,plain,
multiply(inverse(sk_c5),sk_c5) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_12189,c_12054]) ).
tff(c_12299,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12293]) ).
tff(c_12194,plain,
inverse(sk_c5) != sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12182,c_11957]) ).
tff(c_12308,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_12299,c_12299,c_12194]) ).
tff(c_12079,plain,
inverse(sk_c3) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_12072,c_11956]) ).
tff(c_12192,plain,
inverse(sk_c3) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_12182,c_12079]) ).
tff(c_12307,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12299,c_12192]) ).
tff(c_12334,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_12307,c_4]) ).
tff(c_12351,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_12334,c_12054]) ).
tff(c_12363,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_12351]) ).
tff(c_12367,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_12363,c_12307]) ).
tff(c_12375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12308,c_12367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.37 % Computer : n018.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 22:25:05 EDT 2023
% 0.14/0.37 % CPUTime :
% 8.49/3.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.89/3.21
% 8.89/3.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.24/3.30
% 9.24/3.30 Inference rules
% 9.24/3.30 ----------------------
% 9.24/3.30 #Ref : 0
% 9.24/3.30 #Sup : 3132
% 9.24/3.30 #Fact : 0
% 9.24/3.30 #Define : 0
% 9.24/3.30 #Split : 15
% 9.24/3.30 #Chain : 0
% 9.24/3.30 #Close : 0
% 9.24/3.30
% 9.24/3.30 Ordering : KBO
% 9.24/3.30
% 9.24/3.30 Simplification rules
% 9.24/3.30 ----------------------
% 9.24/3.30 #Subsume : 9
% 9.24/3.30 #Demod : 6291
% 9.24/3.30 #Tautology : 2532
% 9.24/3.30 #SimpNegUnit : 48
% 9.24/3.30 #BackRed : 309
% 9.24/3.30
% 9.24/3.30 #Partial instantiations: 0
% 9.24/3.30 #Strategies tried : 1
% 9.24/3.30
% 9.24/3.30 Timing (in seconds)
% 9.24/3.30 ----------------------
% 9.24/3.30 Preprocessing : 0.53
% 9.24/3.30 Parsing : 0.22
% 9.24/3.30 CNF conversion : 0.02
% 9.24/3.31 Main loop : 1.50
% 9.24/3.31 Inferencing : 0.49
% 9.24/3.31 Reduction : 0.64
% 9.24/3.31 Demodulation : 0.53
% 9.24/3.31 BG Simplification : 0.06
% 9.24/3.31 Subsumption : 0.19
% 9.24/3.31 Abstraction : 0.08
% 9.24/3.31 MUC search : 0.00
% 9.24/3.31 Cooper : 0.00
% 9.24/3.31 Total : 2.19
% 9.24/3.31 Index Insertion : 0.00
% 9.24/3.31 Index Deletion : 0.00
% 9.24/3.31 Index Matching : 0.00
% 9.24/3.31 BG Taut test : 0.00
%------------------------------------------------------------------------------