TSTP Solution File: GRP683+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:41:55 EDT 2023
% Result : Theorem 32.37s 17.34s
% Output : CNFRefutation 32.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 218 ( 206 unt; 9 typ; 0 def)
% Number of atoms : 212 ( 210 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 498 (; 498 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_28,axiom,
! [A] : ( ld(A,mult(A,A)) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
tff(f_36,axiom,
! [D,C,B,A] : ( ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
tff(f_32,axiom,
! [B,A] : ( mult(A,ld(A,B)) = ld(A,mult(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
tff(f_34,axiom,
! [B,A] : ( mult(rd(A,B),B) = rd(mult(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
tff(f_30,axiom,
! [A] : ( rd(mult(A,A),A) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
tff(f_40,axiom,
! [B,A] : ( ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
tff(f_38,axiom,
! [D,C,B,A] : ( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
tff(f_45,negated_conjecture,
~ ! [X3,X4,X5] :
( ( mult(X3,ld(X4,mult(X4,X5))) = mult(X3,X5) )
& ( mult(rd(mult(X3,X4),X4),X5) = mult(X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tff(c_2,plain,
! [A_1] : ( ld(A_1,mult(A_1,A_1)) = A_1 ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_40608,plain,
! [A_387,B_388,C_389,D_390] : ( ld(ld(A_387,B_388),mult(ld(A_387,B_388),mult(C_389,D_390))) = mult(ld(A_387,mult(A_387,C_389)),D_390) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_40665,plain,
! [A_1,C_389,D_390] : ( ld(ld(A_1,mult(A_1,A_1)),mult(A_1,mult(C_389,D_390))) = mult(ld(A_1,mult(A_1,C_389)),D_390) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_40608]) ).
tff(c_40745,plain,
! [A_394,C_395,D_396] : ( mult(ld(A_394,mult(A_394,C_395)),D_396) = ld(A_394,mult(A_394,mult(C_395,D_396))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40665]) ).
tff(c_40815,plain,
! [A_1,D_396] : ( ld(A_1,mult(A_1,mult(A_1,D_396))) = mult(A_1,D_396) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_40745]) ).
tff(c_6,plain,
! [A_4,B_3] : ( mult(A_4,ld(A_4,B_3)) = ld(A_4,mult(A_4,B_3)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_49,plain,
! [A_21,B_22] : ( rd(mult(A_21,B_22),B_22) = mult(rd(A_21,B_22),B_22) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_4,plain,
! [A_2] : ( rd(mult(A_2,A_2),A_2) = A_2 ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_56,plain,
! [B_22] : ( mult(rd(B_22,B_22),B_22) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_49,c_4]) ).
tff(c_80,plain,
! [A_24,B_25] : ( rd(mult(rd(A_24,A_24),B_25),B_25) = ld(A_24,mult(A_24,ld(B_25,B_25))) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_96,plain,
! [B_22] : ( ld(B_22,mult(B_22,ld(B_22,B_22))) = rd(B_22,B_22) ),
inference(superposition,[status(thm),theory(equality)],[c_56,c_80]) ).
tff(c_111,plain,
! [B_22] : ( rd(B_22,B_22) = ld(B_22,B_22) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_96]) ).
tff(c_8,plain,
! [A_6,B_5] : ( rd(mult(A_6,B_5),B_5) = mult(rd(A_6,B_5),B_5) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_86,plain,
! [A_24,B_25] : ( mult(rd(rd(A_24,A_24),B_25),B_25) = ld(A_24,mult(A_24,ld(B_25,B_25))) ),
inference(superposition,[status(thm),theory(equality)],[c_80,c_8]) ).
tff(c_40702,plain,
! [A_24,B_25] : ( mult(rd(ld(A_24,A_24),B_25),B_25) = ld(A_24,mult(A_24,ld(B_25,B_25))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_86]) ).
tff(c_42654,plain,
! [A_440,B_441] : ( rd(ld(A_440,mult(A_440,B_441)),ld(A_440,B_441)) = mult(rd(A_440,ld(A_440,B_441)),ld(A_440,B_441)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_49]) ).
tff(c_42892,plain,
! [A_444] : ( mult(rd(A_444,ld(A_444,A_444)),ld(A_444,A_444)) = rd(A_444,ld(A_444,A_444)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_42654]) ).
tff(c_114,plain,
! [B_22] : ( mult(ld(B_22,B_22),B_22) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_56]) ).
tff(c_12,plain,
! [A_14,B_13,C_12,D_11] : ( rd(mult(mult(A_14,B_13),rd(C_12,D_11)),rd(C_12,D_11)) = mult(A_14,rd(mult(B_13,D_11),D_11)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_40889,plain,
! [A_400,B_401,C_402,D_403] : ( rd(mult(mult(A_400,B_401),rd(C_402,D_403)),rd(C_402,D_403)) = mult(A_400,mult(rd(B_401,D_403),D_403)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_40949,plain,
! [A_400,B_401,A_2] : ( rd(mult(mult(A_400,B_401),A_2),rd(mult(A_2,A_2),A_2)) = mult(A_400,mult(rd(B_401,A_2),A_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_40889]) ).
tff(c_40971,plain,
! [A_404,B_405,A_406] : ( mult(rd(mult(A_404,B_405),A_406),A_406) = mult(A_404,mult(rd(B_405,A_406),A_406)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_114,c_111,c_8,c_40949]) ).
tff(c_41029,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,mult(rd(B_5,B_5),B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_40971]) ).
tff(c_41048,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_111,c_41029]) ).
tff(c_42926,plain,
! [A_444] : ( mult(rd(A_444,ld(A_444,A_444)),ld(A_444,A_444)) = mult(A_444,ld(A_444,A_444)) ),
inference(superposition,[status(thm),theory(equality)],[c_42892,c_41048]) ).
tff(c_42976,plain,
! [A_444] : ( mult(rd(A_444,ld(A_444,A_444)),ld(A_444,A_444)) = A_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_42926]) ).
tff(c_42774,plain,
! [A_1] : ( mult(rd(A_1,ld(A_1,A_1)),ld(A_1,A_1)) = rd(A_1,ld(A_1,A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_42654]) ).
tff(c_42987,plain,
! [A_1] : ( rd(A_1,ld(A_1,A_1)) = A_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_42976,c_42774]) ).
tff(c_43200,plain,
! [A_447] : ( mult(A_447,ld(A_447,A_447)) = A_447 ),
inference(demodulation,[status(thm),theory(equality)],[c_42987,c_42976]) ).
tff(c_40968,plain,
! [A_400,B_401,A_2] : ( mult(rd(mult(A_400,B_401),A_2),A_2) = mult(A_400,mult(rd(B_401,A_2),A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_114,c_111,c_8,c_40949]) ).
tff(c_43239,plain,
! [A_447,A_2] : ( mult(A_447,mult(rd(ld(A_447,A_447),A_2),A_2)) = mult(rd(A_447,A_2),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_43200,c_40968]) ).
tff(c_43287,plain,
! [A_447,A_2] : ( mult(rd(A_447,A_2),A_2) = mult(A_447,ld(A_2,A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_6,c_40702,c_43239]) ).
tff(c_43307,plain,
! [A_6,B_5] : ( mult(mult(A_6,ld(B_5,B_5)),B_5) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_43287,c_41048]) ).
tff(c_17,plain,
! [A_14,B_13,C_12,D_11] : ( rd(mult(mult(A_14,B_13),rd(C_12,D_11)),rd(C_12,D_11)) = mult(A_14,mult(rd(B_13,D_11),D_11)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_43242,plain,
! [A_447,C_12,D_11] : ( rd(mult(A_447,rd(C_12,D_11)),rd(C_12,D_11)) = mult(A_447,mult(rd(ld(A_447,A_447),D_11),D_11)) ),
inference(superposition,[status(thm),theory(equality)],[c_43200,c_17]) ).
tff(c_50970,plain,
! [A_541,C_542,D_543] : ( rd(mult(A_541,rd(C_542,D_543)),rd(C_542,D_543)) = mult(A_541,ld(D_543,D_543)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_6,c_40702,c_43242]) ).
tff(c_43312,plain,
! [A_6,B_5] : ( rd(mult(A_6,B_5),B_5) = mult(A_6,ld(B_5,B_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_43287,c_8]) ).
tff(c_51009,plain,
! [A_541,C_542,D_543] : ( mult(A_541,ld(rd(C_542,D_543),rd(C_542,D_543))) = mult(A_541,ld(D_543,D_543)) ),
inference(superposition,[status(thm),theory(equality)],[c_50970,c_43312]) ).
tff(c_41026,plain,
! [A_404,B_405] : ( mult(ld(mult(A_404,B_405),mult(A_404,B_405)),mult(A_404,B_405)) = mult(A_404,mult(rd(B_405,mult(A_404,B_405)),mult(A_404,B_405))) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_40971]) ).
tff(c_41047,plain,
! [A_404,B_405] : ( mult(A_404,mult(rd(B_405,mult(A_404,B_405)),mult(A_404,B_405))) = mult(A_404,B_405) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_41026]) ).
tff(c_49406,plain,
! [A_531,B_532] : ( mult(A_531,mult(B_532,ld(mult(A_531,B_532),mult(A_531,B_532)))) = mult(A_531,B_532) ),
inference(demodulation,[status(thm),theory(equality)],[c_43287,c_41047]) ).
tff(c_49513,plain,
! [B_532] : ( mult(B_532,ld(mult(B_532,B_532),mult(B_532,B_532))) = ld(B_532,mult(B_532,B_532)) ),
inference(superposition,[status(thm),theory(equality)],[c_49406,c_40815]) ).
tff(c_49793,plain,
! [B_533] : ( mult(B_533,ld(mult(B_533,B_533),mult(B_533,B_533))) = B_533 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49513]) ).
tff(c_43143,plain,
! [A_444] : ( mult(A_444,ld(A_444,A_444)) = A_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_42987,c_42976]) ).
tff(c_40678,plain,
! [A_1,C_389,D_390] : ( mult(ld(A_1,mult(A_1,C_389)),D_390) = ld(A_1,mult(A_1,mult(C_389,D_390))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40665]) ).
tff(c_10,plain,
! [A_10,B_9,C_8,D_7] : ( ld(ld(A_10,B_9),mult(ld(A_10,B_9),mult(C_8,D_7))) = mult(ld(A_10,mult(A_10,C_8)),D_7) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_44250,plain,
! [A_469,B_470,C_471,D_472] : ( ld(ld(A_469,B_470),mult(ld(A_469,B_470),mult(C_471,D_472))) = ld(A_469,mult(A_469,mult(C_471,D_472))) ),
inference(demodulation,[status(thm),theory(equality)],[c_40678,c_10]) ).
tff(c_44539,plain,
! [A_475,B_476,D_477] : ( ld(A_475,mult(A_475,mult(ld(A_475,B_476),D_477))) = mult(ld(A_475,B_476),D_477) ),
inference(superposition,[status(thm),theory(equality)],[c_44250,c_40815]) ).
tff(c_44584,plain,
! [A_475,B_476] : ( mult(ld(A_475,B_476),ld(ld(A_475,B_476),ld(A_475,B_476))) = ld(A_475,mult(A_475,ld(A_475,B_476))) ),
inference(superposition,[status(thm),theory(equality)],[c_43143,c_44539]) ).
tff(c_44640,plain,
! [A_475,B_476] : ( ld(A_475,ld(A_475,mult(A_475,B_476))) = ld(A_475,B_476) ),
inference(demodulation,[status(thm),theory(equality)],[c_43143,c_6,c_44584]) ).
tff(c_44385,plain,
! [A_469,B_470,B_22] : ( ld(ld(A_469,B_470),mult(ld(A_469,B_470),B_22)) = ld(A_469,mult(A_469,mult(ld(B_22,B_22),B_22))) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_44250]) ).
tff(c_44761,plain,
! [A_480,B_481,B_482] : ( ld(ld(A_480,B_481),mult(ld(A_480,B_481),B_482)) = ld(A_480,mult(A_480,B_482)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_44385]) ).
tff(c_44882,plain,
! [A_1,D_396,B_482] : ( ld(ld(A_1,mult(A_1,mult(A_1,D_396))),mult(mult(A_1,D_396),B_482)) = ld(A_1,mult(A_1,B_482)) ),
inference(superposition,[status(thm),theory(equality)],[c_40815,c_44761]) ).
tff(c_45267,plain,
! [A_487,D_488,B_489] : ( ld(mult(A_487,D_488),mult(mult(A_487,D_488),B_489)) = ld(A_487,mult(A_487,B_489)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_44882]) ).
tff(c_45459,plain,
! [A_487,D_488,B_3] : ( ld(mult(A_487,D_488),ld(mult(A_487,D_488),mult(mult(A_487,D_488),B_3))) = ld(A_487,mult(A_487,ld(mult(A_487,D_488),B_3))) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_45267]) ).
tff(c_45513,plain,
! [A_487,D_488,B_3] : ( ld(A_487,mult(A_487,ld(mult(A_487,D_488),B_3))) = ld(mult(A_487,D_488),B_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_44640,c_45459]) ).
tff(c_49824,plain,
! [B_533] : ( ld(mult(B_533,B_533),mult(B_533,B_533)) = ld(B_533,B_533) ),
inference(superposition,[status(thm),theory(equality)],[c_49793,c_45513]) ).
tff(c_44937,plain,
! [A_1,D_396,B_482] : ( ld(mult(A_1,D_396),mult(mult(A_1,D_396),B_482)) = ld(A_1,mult(A_1,B_482)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_44882]) ).
tff(c_40825,plain,
! [A_397,D_398] : ( ld(A_397,mult(A_397,mult(A_397,D_398))) = mult(A_397,D_398) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_40745]) ).
tff(c_42530,plain,
! [A_437,D_438,D_439] : ( ld(A_437,mult(A_437,mult(mult(A_437,D_438),D_439))) = mult(mult(A_437,D_438),D_439) ),
inference(superposition,[status(thm),theory(equality)],[c_40825,c_40678]) ).
tff(c_42589,plain,
! [A_6,B_5] : ( ld(rd(A_6,B_5),mult(rd(A_6,B_5),mult(A_6,B_5))) = mult(mult(rd(A_6,B_5),B_5),B_5) ),
inference(superposition,[status(thm),theory(equality)],[c_41048,c_42530]) ).
tff(c_42642,plain,
! [A_6,B_5] : ( ld(rd(A_6,B_5),mult(rd(A_6,B_5),mult(A_6,B_5))) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_41048,c_42589]) ).
tff(c_45784,plain,
! [A_493,B_494] : ( ld(rd(A_493,B_494),mult(rd(A_493,B_494),mult(A_493,B_494))) = mult(A_493,B_494) ),
inference(demodulation,[status(thm),theory(equality)],[c_41048,c_42589]) ).
tff(c_44435,plain,
! [A_469,B_470,B_22] : ( ld(ld(A_469,B_470),mult(ld(A_469,B_470),B_22)) = ld(A_469,mult(A_469,B_22)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_44385]) ).
tff(c_45799,plain,
! [A_493,B_494,B_22] : ( ld(ld(rd(A_493,B_494),mult(rd(A_493,B_494),mult(A_493,B_494))),mult(mult(A_493,B_494),B_22)) = ld(rd(A_493,B_494),mult(rd(A_493,B_494),B_22)) ),
inference(superposition,[status(thm),theory(equality)],[c_45784,c_44435]) ).
tff(c_45927,plain,
! [A_493,B_494,B_22] : ( ld(rd(A_493,B_494),mult(rd(A_493,B_494),B_22)) = ld(A_493,mult(A_493,B_22)) ),
inference(demodulation,[status(thm),theory(equality)],[c_44937,c_42642,c_45799]) ).
tff(c_49461,plain,
! [A_531,B_532] : ( ld(A_531,mult(B_532,ld(mult(A_531,B_532),mult(A_531,B_532)))) = ld(A_531,ld(A_531,mult(A_531,B_532))) ),
inference(superposition,[status(thm),theory(equality)],[c_49406,c_44640]) ).
tff(c_60215,plain,
! [A_616,B_617] : ( ld(A_616,mult(B_617,ld(mult(A_616,B_617),mult(A_616,B_617)))) = ld(A_616,B_617) ),
inference(demodulation,[status(thm),theory(equality)],[c_44640,c_49461]) ).
tff(c_60399,plain,
! [A_493,B_494] : ( ld(A_493,mult(A_493,ld(mult(rd(A_493,B_494),rd(A_493,B_494)),mult(rd(A_493,B_494),rd(A_493,B_494))))) = ld(rd(A_493,B_494),rd(A_493,B_494)) ),
inference(superposition,[status(thm),theory(equality)],[c_45927,c_60215]) ).
tff(c_60659,plain,
! [A_493,B_494] : ( ld(rd(A_493,B_494),rd(A_493,B_494)) = ld(A_493,mult(A_493,ld(B_494,B_494))) ),
inference(demodulation,[status(thm),theory(equality)],[c_51009,c_49824,c_60399]) ).
tff(c_63646,plain,
! [A_541,C_542,D_543] : ( mult(A_541,ld(C_542,mult(C_542,ld(D_543,D_543)))) = mult(A_541,ld(D_543,D_543)) ),
inference(demodulation,[status(thm),theory(equality)],[c_60659,c_51009]) ).
tff(c_51751,plain,
! [A_550,B_551,B_552] : ( ld(rd(A_550,B_551),mult(rd(A_550,B_551),B_552)) = ld(A_550,mult(A_550,B_552)) ),
inference(demodulation,[status(thm),theory(equality)],[c_44937,c_42642,c_45799]) ).
tff(c_51836,plain,
! [A_550,B_551,B_552] : ( ld(rd(A_550,B_551),mult(rd(A_550,B_551),mult(rd(A_550,B_551),B_552))) = mult(rd(A_550,B_551),ld(A_550,mult(A_550,B_552))) ),
inference(superposition,[status(thm),theory(equality)],[c_51751,c_6]) ).
tff(c_51995,plain,
! [A_550,B_551,B_552] : ( mult(rd(A_550,B_551),ld(A_550,mult(A_550,B_552))) = mult(rd(A_550,B_551),B_552) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_51836]) ).
tff(c_14,plain,
! [A_16,B_15] : ( rd(mult(rd(A_16,A_16),B_15),B_15) = ld(A_16,mult(A_16,ld(B_15,B_15))) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_41132,plain,
! [A_410,B_411] : ( rd(mult(ld(A_410,A_410),B_411),B_411) = ld(A_410,mult(A_410,ld(B_411,B_411))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14]) ).
tff(c_41141,plain,
! [A_410,B_411] : ( mult(ld(A_410,mult(A_410,ld(B_411,B_411))),B_411) = mult(ld(A_410,A_410),mult(rd(B_411,B_411),B_411)) ),
inference(superposition,[status(thm),theory(equality)],[c_41132,c_40968]) ).
tff(c_41175,plain,
! [A_410,B_411] : ( mult(ld(A_410,A_410),B_411) = ld(A_410,mult(A_410,B_411)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_40678,c_114,c_111,c_41141]) ).
tff(c_51425,plain,
! [A_547,B_548,A_549] : ( mult(rd(mult(A_547,B_548),A_549),A_549) = mult(A_547,mult(B_548,ld(A_549,A_549))) ),
inference(demodulation,[status(thm),theory(equality)],[c_43287,c_40968]) ).
tff(c_51547,plain,
! [A_547,B_548,A_549] : ( mult(mult(A_547,B_548),ld(A_549,A_549)) = mult(A_547,mult(B_548,ld(A_549,A_549))) ),
inference(superposition,[status(thm),theory(equality)],[c_51425,c_43287]) ).
tff(c_54313,plain,
! [A_572,A_573] : ( ld(rd(A_572,A_573),mult(A_572,ld(A_573,A_573))) = ld(A_572,mult(A_572,A_573)) ),
inference(superposition,[status(thm),theory(equality)],[c_43287,c_51751]) ).
tff(c_54340,plain,
! [A_572,A_573] : ( ld(rd(A_572,A_573),mult(rd(A_572,A_573),mult(A_572,ld(A_573,A_573)))) = mult(rd(A_572,A_573),ld(A_572,mult(A_572,A_573))) ),
inference(superposition,[status(thm),theory(equality)],[c_54313,c_6]) ).
tff(c_68515,plain,
! [A_660,A_661] : ( mult(rd(A_660,A_661),ld(A_660,mult(A_660,A_661))) = mult(A_660,ld(A_661,A_661)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_45927,c_54340]) ).
tff(c_43308,plain,
! [A_400,B_401,A_2] : ( mult(rd(mult(A_400,B_401),A_2),A_2) = mult(A_400,mult(B_401,ld(A_2,A_2))) ),
inference(demodulation,[status(thm),theory(equality)],[c_43287,c_40968]) ).
tff(c_68570,plain,
! [A_660,A_661,A_2] : ( mult(rd(A_660,A_661),mult(ld(A_660,mult(A_660,A_661)),ld(A_2,A_2))) = mult(rd(mult(A_660,ld(A_661,A_661)),A_2),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_68515,c_43308]) ).
tff(c_73211,plain,
! [A_680,A_681,A_682] : ( mult(rd(A_680,A_681),mult(A_681,ld(A_682,A_682))) = mult(A_680,ld(A_682,A_682)) ),
inference(demodulation,[status(thm),theory(equality)],[c_63646,c_51995,c_41175,c_51547,c_43287,c_40678,c_68570]) ).
tff(c_41050,plain,
! [A_407,B_408] : ( mult(mult(rd(A_407,B_408),B_408),B_408) = mult(A_407,B_408) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_111,c_41029]) ).
tff(c_41078,plain,
! [A_400,B_401,A_2] : ( mult(mult(A_400,mult(rd(B_401,A_2),A_2)),A_2) = mult(mult(A_400,B_401),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_40968,c_41050]) ).
tff(c_46603,plain,
! [A_400,B_401,A_2] : ( mult(mult(A_400,mult(B_401,ld(A_2,A_2))),A_2) = mult(mult(A_400,B_401),A_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_43287,c_41078]) ).
tff(c_73312,plain,
! [A_680,A_681,A_682] : ( mult(mult(rd(A_680,A_681),A_681),A_682) = mult(mult(A_680,ld(A_682,A_682)),A_682) ),
inference(superposition,[status(thm),theory(equality)],[c_73211,c_46603]) ).
tff(c_73566,plain,
! [A_680,A_681,A_682] : ( mult(mult(A_680,ld(A_681,A_681)),A_682) = mult(A_680,A_682) ),
inference(demodulation,[status(thm),theory(equality)],[c_43307,c_43287,c_73312]) ).
tff(c_45306,plain,
! [A_487,D_488,B_489] : ( ld(mult(A_487,D_488),mult(mult(A_487,D_488),mult(mult(A_487,D_488),B_489))) = mult(mult(A_487,D_488),ld(A_487,mult(A_487,B_489))) ),
inference(superposition,[status(thm),theory(equality)],[c_45267,c_6]) ).
tff(c_45472,plain,
! [A_487,D_488,B_489] : ( mult(mult(A_487,D_488),ld(A_487,mult(A_487,B_489))) = mult(mult(A_487,D_488),B_489) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_45306]) ).
tff(c_74003,plain,
! [A_686,A_687,A_688] : ( mult(mult(A_686,ld(A_687,A_687)),A_688) = mult(A_686,A_688) ),
inference(demodulation,[status(thm),theory(equality)],[c_43307,c_43287,c_73312]) ).
tff(c_74385,plain,
! [A_487,A_687,B_489] : ( mult(mult(A_487,ld(A_687,A_687)),B_489) = mult(A_487,ld(A_487,mult(A_487,B_489))) ),
inference(superposition,[status(thm),theory(equality)],[c_45472,c_74003]) ).
tff(c_74550,plain,
! [A_487,B_489] : ( mult(A_487,ld(A_487,mult(A_487,B_489))) = mult(A_487,B_489) ),
inference(demodulation,[status(thm),theory(equality)],[c_73566,c_74385]) ).
tff(c_40901,plain,
! [A_400,B_401,C_402,D_403] : ( mult(rd(mult(A_400,B_401),rd(C_402,D_403)),rd(C_402,D_403)) = mult(A_400,mult(rd(B_401,D_403),D_403)) ),
inference(superposition,[status(thm),theory(equality)],[c_40889,c_8]) ).
tff(c_43222,plain,
! [A_447,C_402,D_403] : ( mult(rd(A_447,rd(C_402,D_403)),rd(C_402,D_403)) = mult(A_447,mult(rd(ld(A_447,A_447),D_403),D_403)) ),
inference(superposition,[status(thm),theory(equality)],[c_43200,c_40901]) ).
tff(c_48348,plain,
! [A_519,C_520,D_521] : ( mult(rd(A_519,rd(C_520,D_521)),rd(C_520,D_521)) = mult(A_519,ld(D_521,D_521)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40815,c_6,c_40702,c_43222]) ).
tff(c_48464,plain,
! [A_6,C_520,D_521] : ( mult(mult(A_6,ld(rd(C_520,D_521),rd(C_520,D_521))),rd(C_520,D_521)) = mult(mult(A_6,rd(C_520,D_521)),ld(D_521,D_521)) ),
inference(superposition,[status(thm),theory(equality)],[c_43312,c_48348]) ).
tff(c_58706,plain,
! [A_604,C_605,D_606] : ( mult(mult(A_604,rd(C_605,D_606)),ld(D_606,D_606)) = mult(A_604,rd(C_605,D_606)) ),
inference(demodulation,[status(thm),theory(equality)],[c_43307,c_48464]) ).
tff(c_58865,plain,
! [A_604,C_605,D_606,D_390] : ( ld(mult(A_604,rd(C_605,D_606)),mult(mult(A_604,rd(C_605,D_606)),mult(ld(D_606,D_606),D_390))) = mult(ld(mult(A_604,rd(C_605,D_606)),mult(A_604,rd(C_605,D_606))),D_390) ),
inference(superposition,[status(thm),theory(equality)],[c_58706,c_40678]) ).
tff(c_59034,plain,
! [A_604,D_606,D_390] : ( ld(A_604,mult(A_604,ld(D_606,mult(D_606,D_390)))) = ld(A_604,mult(A_604,D_390)) ),
inference(demodulation,[status(thm),theory(equality)],[c_44937,c_44937,c_41175,c_41175,c_58865]) ).
tff(c_74732,plain,
! [A_689,B_690] : ( mult(A_689,ld(A_689,mult(A_689,B_690))) = mult(A_689,B_690) ),
inference(demodulation,[status(thm),theory(equality)],[c_73566,c_74385]) ).
tff(c_74936,plain,
! [A_604,D_606,D_390] : ( mult(A_604,ld(D_606,mult(D_606,D_390))) = mult(A_604,ld(A_604,mult(A_604,D_390))) ),
inference(superposition,[status(thm),theory(equality)],[c_59034,c_74732]) ).
tff(c_75170,plain,
! [A_604,D_606,D_390] : ( mult(A_604,ld(D_606,mult(D_606,D_390))) = mult(A_604,D_390) ),
inference(demodulation,[status(thm),theory(equality)],[c_74550,c_74936]) ).
tff(c_178,plain,
! [A_31,B_32,C_33,D_34] : ( ld(ld(A_31,B_32),mult(ld(A_31,B_32),mult(C_33,D_34))) = mult(ld(A_31,mult(A_31,C_33)),D_34) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_235,plain,
! [A_1,C_33,D_34] : ( ld(A_1,mult(ld(A_1,mult(A_1,A_1)),mult(C_33,D_34))) = mult(ld(A_1,mult(A_1,C_33)),D_34) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_178]) ).
tff(c_316,plain,
! [A_38,C_39,D_40] : ( mult(ld(A_38,mult(A_38,C_39)),D_40) = ld(A_38,mult(A_38,mult(C_39,D_40))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_235]) ).
tff(c_395,plain,
! [A_1,D_40] : ( ld(A_1,mult(A_1,mult(A_1,D_40))) = mult(A_1,D_40) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_316]) ).
tff(c_254,plain,
! [A_24,B_25] : ( mult(rd(ld(A_24,A_24),B_25),B_25) = ld(A_24,mult(A_24,ld(B_25,B_25))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_86]) ).
tff(c_1661,plain,
! [A_79,B_80] : ( rd(ld(A_79,mult(A_79,B_80)),ld(A_79,B_80)) = mult(rd(A_79,ld(A_79,B_80)),ld(A_79,B_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_49]) ).
tff(c_1856,plain,
! [A_83] : ( mult(rd(A_83,ld(A_83,A_83)),ld(A_83,A_83)) = rd(A_83,ld(A_83,A_83)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1661]) ).
tff(c_500,plain,
! [A_46,B_47,C_48,D_49] : ( rd(mult(mult(A_46,B_47),rd(C_48,D_49)),rd(C_48,D_49)) = mult(A_46,mult(rd(B_47,D_49),D_49)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_560,plain,
! [A_46,B_47,A_2] : ( rd(mult(mult(A_46,B_47),A_2),rd(mult(A_2,A_2),A_2)) = mult(A_46,mult(rd(B_47,A_2),A_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_500]) ).
tff(c_581,plain,
! [A_50,B_51,A_52] : ( mult(rd(mult(A_50,B_51),A_52),A_52) = mult(A_50,mult(rd(B_51,A_52),A_52)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_560]) ).
tff(c_630,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,mult(rd(B_5,B_5),B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_581]) ).
tff(c_648,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_111,c_630]) ).
tff(c_1880,plain,
! [A_83] : ( mult(rd(A_83,ld(A_83,A_83)),ld(A_83,A_83)) = mult(A_83,ld(A_83,A_83)) ),
inference(superposition,[status(thm),theory(equality)],[c_1856,c_648]) ).
tff(c_1927,plain,
! [A_83] : ( mult(rd(A_83,ld(A_83,A_83)),ld(A_83,A_83)) = A_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_1880]) ).
tff(c_1751,plain,
! [A_1] : ( mult(rd(A_1,ld(A_1,A_1)),ld(A_1,A_1)) = rd(A_1,ld(A_1,A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1661]) ).
tff(c_2114,plain,
! [A_1] : ( rd(A_1,ld(A_1,A_1)) = A_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_1927,c_1751]) ).
tff(c_2253,plain,
! [A_90] : ( mult(A_90,ld(A_90,A_90)) = A_90 ),
inference(demodulation,[status(thm),theory(equality)],[c_2114,c_1927]) ).
tff(c_579,plain,
! [A_46,B_47,A_2] : ( mult(rd(mult(A_46,B_47),A_2),A_2) = mult(A_46,mult(rd(B_47,A_2),A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_560]) ).
tff(c_2285,plain,
! [A_90,A_2] : ( mult(A_90,mult(rd(ld(A_90,A_90),A_2),A_2)) = mult(rd(A_90,A_2),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2253,c_579]) ).
tff(c_2331,plain,
! [A_90,A_2] : ( mult(rd(A_90,A_2),A_2) = mult(A_90,ld(A_2,A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_395,c_6,c_254,c_2285]) ).
tff(c_2344,plain,
! [A_6,B_5] : ( mult(mult(A_6,ld(B_5,B_5)),B_5) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_648]) ).
tff(c_409,plain,
! [A_41,D_42] : ( ld(A_41,mult(A_41,mult(A_41,D_42))) = mult(A_41,D_42) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_316]) ).
tff(c_251,plain,
! [A_1,C_33,D_34] : ( mult(ld(A_1,mult(A_1,C_33)),D_34) = ld(A_1,mult(A_1,mult(C_33,D_34))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_235]) ).
tff(c_415,plain,
! [A_41,D_42,D_34] : ( ld(A_41,mult(A_41,mult(mult(A_41,D_42),D_34))) = mult(mult(A_41,D_42),D_34) ),
inference(superposition,[status(thm),theory(equality)],[c_409,c_251]) ).
tff(c_1938,plain,
! [A_84,B_85,C_86,D_87] : ( ld(ld(A_84,B_85),mult(ld(A_84,B_85),mult(C_86,D_87))) = ld(A_84,mult(A_84,mult(C_86,D_87))) ),
inference(demodulation,[status(thm),theory(equality)],[c_251,c_10]) ).
tff(c_2064,plain,
! [A_84,B_85,B_22] : ( ld(ld(A_84,B_85),mult(ld(A_84,B_85),B_22)) = ld(A_84,mult(A_84,mult(ld(B_22,B_22),B_22))) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_1938]) ).
tff(c_4277,plain,
! [A_126,B_127,B_128] : ( ld(ld(A_126,B_127),mult(ld(A_126,B_127),B_128)) = ld(A_126,mult(A_126,B_128)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_2064]) ).
tff(c_4395,plain,
! [A_1,D_40,B_128] : ( ld(mult(A_1,D_40),mult(ld(A_1,mult(A_1,mult(A_1,D_40))),B_128)) = ld(A_1,mult(A_1,B_128)) ),
inference(superposition,[status(thm),theory(equality)],[c_395,c_4277]) ).
tff(c_4450,plain,
! [A_1,D_40,B_128] : ( ld(mult(A_1,D_40),mult(mult(A_1,D_40),B_128)) = ld(A_1,mult(A_1,B_128)) ),
inference(demodulation,[status(thm),theory(equality)],[c_415,c_251,c_4395]) ).
tff(c_1389,plain,
! [A_72,D_73,D_74] : ( ld(A_72,mult(A_72,mult(mult(A_72,D_73),D_74))) = mult(mult(A_72,D_73),D_74) ),
inference(superposition,[status(thm),theory(equality)],[c_409,c_251]) ).
tff(c_1433,plain,
! [A_6,B_5] : ( ld(rd(A_6,B_5),mult(rd(A_6,B_5),mult(A_6,B_5))) = mult(mult(rd(A_6,B_5),B_5),B_5) ),
inference(superposition,[status(thm),theory(equality)],[c_648,c_1389]) ).
tff(c_1472,plain,
! [A_6,B_5] : ( ld(rd(A_6,B_5),mult(rd(A_6,B_5),mult(A_6,B_5))) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_648,c_1433]) ).
tff(c_6838,plain,
! [A_157,B_158] : ( ld(rd(A_157,B_158),mult(rd(A_157,B_158),mult(A_157,B_158))) = mult(A_157,B_158) ),
inference(demodulation,[status(thm),theory(equality)],[c_648,c_1433]) ).
tff(c_2109,plain,
! [A_84,B_85,B_22] : ( ld(ld(A_84,B_85),mult(ld(A_84,B_85),B_22)) = ld(A_84,mult(A_84,B_22)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_2064]) ).
tff(c_6862,plain,
! [A_157,B_158,B_22] : ( ld(ld(rd(A_157,B_158),mult(rd(A_157,B_158),mult(A_157,B_158))),mult(mult(A_157,B_158),B_22)) = ld(rd(A_157,B_158),mult(rd(A_157,B_158),B_22)) ),
inference(superposition,[status(thm),theory(equality)],[c_6838,c_2109]) ).
tff(c_10904,plain,
! [A_200,B_201,B_202] : ( ld(rd(A_200,B_201),mult(rd(A_200,B_201),B_202)) = ld(A_200,mult(A_200,B_202)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_1472,c_6862]) ).
tff(c_10990,plain,
! [A_200,B_201,B_202] : ( ld(rd(A_200,B_201),mult(rd(A_200,B_201),mult(rd(A_200,B_201),B_202))) = mult(rd(A_200,B_201),ld(A_200,mult(A_200,B_202))) ),
inference(superposition,[status(thm),theory(equality)],[c_10904,c_6]) ).
tff(c_11171,plain,
! [A_200,B_201,B_202] : ( mult(rd(A_200,B_201),ld(A_200,mult(A_200,B_202))) = mult(rd(A_200,B_201),B_202) ),
inference(demodulation,[status(thm),theory(equality)],[c_395,c_10990]) ).
tff(c_512,plain,
! [A_46,B_47,C_48,D_49] : ( mult(rd(mult(A_46,B_47),rd(C_48,D_49)),rd(C_48,D_49)) = mult(A_46,mult(rd(B_47,D_49),D_49)) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_8]) ).
tff(c_2278,plain,
! [A_90,C_48,D_49] : ( mult(rd(A_90,rd(C_48,D_49)),rd(C_48,D_49)) = mult(A_90,mult(rd(ld(A_90,A_90),D_49),D_49)) ),
inference(superposition,[status(thm),theory(equality)],[c_2253,c_512]) ).
tff(c_7907,plain,
! [A_168,C_169,D_170] : ( mult(rd(A_168,rd(C_169,D_170)),rd(C_169,D_170)) = mult(A_168,ld(D_170,D_170)) ),
inference(demodulation,[status(thm),theory(equality)],[c_395,c_6,c_254,c_2278]) ).
tff(c_8054,plain,
! [A_90,C_169,D_170] : ( mult(A_90,ld(rd(C_169,D_170),rd(C_169,D_170))) = mult(A_90,ld(D_170,D_170)) ),
inference(superposition,[status(thm),theory(equality)],[c_2331,c_7907]) ).
tff(c_7015,plain,
! [A_157,B_158,B_22] : ( ld(rd(A_157,B_158),mult(rd(A_157,B_158),B_22)) = ld(A_157,mult(A_157,B_22)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_1472,c_6862]) ).
tff(c_2201,plain,
! [A_83] : ( mult(A_83,ld(A_83,A_83)) = A_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_2114,c_1927]) ).
tff(c_3622,plain,
! [A_117,B_118,D_119] : ( ld(A_117,mult(A_117,mult(ld(A_117,B_118),D_119))) = mult(ld(A_117,B_118),D_119) ),
inference(superposition,[status(thm),theory(equality)],[c_395,c_1938]) ).
tff(c_3661,plain,
! [A_117,B_118] : ( mult(ld(A_117,B_118),ld(ld(A_117,B_118),ld(A_117,B_118))) = ld(A_117,mult(A_117,ld(A_117,B_118))) ),
inference(superposition,[status(thm),theory(equality)],[c_2201,c_3622]) ).
tff(c_3719,plain,
! [A_117,B_118] : ( ld(A_117,ld(A_117,mult(A_117,B_118))) = ld(A_117,B_118) ),
inference(demodulation,[status(thm),theory(equality)],[c_2201,c_6,c_3661]) ).
tff(c_113,plain,
! [A_16,B_15] : ( rd(mult(ld(A_16,A_16),B_15),B_15) = ld(A_16,mult(A_16,ld(B_15,B_15))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14]) ).
tff(c_611,plain,
! [A_16,B_15] : ( mult(ld(A_16,mult(A_16,ld(B_15,B_15))),B_15) = mult(ld(A_16,A_16),mult(rd(B_15,B_15),B_15)) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_581]) ).
tff(c_644,plain,
! [A_16,B_15] : ( mult(ld(A_16,A_16),B_15) = ld(A_16,mult(A_16,B_15)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_251,c_114,c_111,c_611]) ).
tff(c_437,plain,
! [B_22] : ( ld(ld(B_22,B_22),mult(ld(B_22,B_22),B_22)) = mult(ld(B_22,B_22),B_22) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_409]) ).
tff(c_448,plain,
! [B_22] : ( ld(ld(B_22,B_22),B_22) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_437]) ).
tff(c_4412,plain,
! [A_126,B_127,B_3] : ( ld(ld(A_126,B_127),ld(ld(A_126,B_127),mult(ld(A_126,B_127),B_3))) = ld(A_126,mult(A_126,ld(ld(A_126,B_127),B_3))) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_4277]) ).
tff(c_5337,plain,
! [A_139,B_140,B_141] : ( ld(A_139,mult(A_139,ld(ld(A_139,B_140),B_141))) = ld(ld(A_139,B_140),B_141) ),
inference(demodulation,[status(thm),theory(equality)],[c_3719,c_4412]) ).
tff(c_5439,plain,
! [B_22,B_141] : ( ld(ld(B_22,B_22),mult(ld(B_22,B_22),ld(B_22,B_141))) = ld(ld(ld(B_22,B_22),B_22),B_141) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_5337]) ).
tff(c_5487,plain,
! [B_22,B_141] : ( ld(ld(B_22,B_22),ld(B_22,B_141)) = ld(B_22,B_141) ),
inference(demodulation,[status(thm),theory(equality)],[c_3719,c_6,c_644,c_448,c_5439]) ).
tff(c_2349,plain,
! [A_91,A_92] : ( mult(rd(A_91,A_92),A_92) = mult(A_91,ld(A_92,A_92)) ),
inference(demodulation,[status(thm),theory(equality)],[c_395,c_6,c_254,c_2285]) ).
tff(c_1546,plain,
! [B_77,A_78] : ( mult(ld(B_77,B_77),mult(rd(B_77,A_78),A_78)) = mult(rd(B_77,A_78),A_78) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_581]) ).
tff(c_959,plain,
! [A_61,B_62,C_63,D_64] : ( mult(rd(mult(A_61,B_62),rd(C_63,D_64)),rd(C_63,D_64)) = mult(A_61,mult(rd(B_62,D_64),D_64)) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_8]) ).
tff(c_1051,plain,
! [A_6,C_63,D_64] : ( mult(mult(rd(A_6,rd(C_63,D_64)),rd(C_63,D_64)),rd(C_63,D_64)) = mult(A_6,mult(rd(rd(C_63,D_64),D_64),D_64)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_959]) ).
tff(c_1087,plain,
! [A_6,C_63,D_64] : ( mult(A_6,mult(rd(rd(C_63,D_64),D_64),D_64)) = mult(A_6,rd(C_63,D_64)) ),
inference(demodulation,[status(thm),theory(equality)],[c_648,c_1051]) ).
tff(c_1562,plain,
! [C_63,A_78] : ( mult(ld(rd(C_63,A_78),rd(C_63,A_78)),rd(C_63,A_78)) = mult(rd(rd(C_63,A_78),A_78),A_78) ),
inference(superposition,[status(thm),theory(equality)],[c_1546,c_1087]) ).
tff(c_1639,plain,
! [C_63,A_78] : ( mult(rd(rd(C_63,A_78),A_78),A_78) = rd(C_63,A_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1562]) ).
tff(c_2359,plain,
! [C_63,A_92] : ( mult(rd(C_63,A_92),ld(A_92,A_92)) = rd(C_63,A_92) ),
inference(superposition,[status(thm),theory(equality)],[c_2349,c_1639]) ).
tff(c_17214,plain,
! [A_248,C_249] : ( ld(ld(A_248,mult(A_248,C_249)),ld(A_248,mult(A_248,mult(C_249,ld(A_248,mult(A_248,C_249)))))) = ld(A_248,mult(A_248,C_249)) ),
inference(superposition,[status(thm),theory(equality)],[c_316,c_2]) ).
tff(c_17455,plain,
! [C_63,A_92] : ( ld(ld(rd(C_63,A_92),rd(C_63,A_92)),ld(rd(C_63,A_92),mult(rd(C_63,A_92),mult(ld(A_92,A_92),ld(rd(C_63,A_92),mult(rd(C_63,A_92),ld(A_92,A_92))))))) = ld(rd(C_63,A_92),mult(rd(C_63,A_92),ld(A_92,A_92))) ),
inference(superposition,[status(thm),theory(equality)],[c_2359,c_17214]) ).
tff(c_17651,plain,
! [C_63,A_92] : ( ld(rd(C_63,A_92),rd(C_63,A_92)) = ld(C_63,mult(C_63,ld(A_92,A_92))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_8054,c_7015,c_5487,c_2359,c_2359,c_644,c_17455]) ).
tff(c_21151,plain,
! [A_90,C_169,D_170] : ( mult(A_90,ld(C_169,mult(C_169,ld(D_170,D_170)))) = mult(A_90,ld(D_170,D_170)) ),
inference(demodulation,[status(thm),theory(equality)],[c_17651,c_8054]) ).
tff(c_548,plain,
! [A_46,B_47,A_6,B_5] : ( rd(mult(mult(A_46,B_47),mult(rd(A_6,B_5),B_5)),rd(mult(A_6,B_5),B_5)) = mult(A_46,mult(rd(B_47,B_5),B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_500]) ).
tff(c_576,plain,
! [A_46,B_47,A_6,B_5] : ( mult(rd(mult(A_46,B_47),mult(rd(A_6,B_5),B_5)),mult(rd(A_6,B_5),B_5)) = mult(A_46,mult(rd(B_47,B_5),B_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_548]) ).
tff(c_2520,plain,
! [A_95,B_96,A_97,B_98] : ( mult(mult(A_95,B_96),ld(mult(A_97,ld(B_98,B_98)),mult(A_97,ld(B_98,B_98)))) = mult(A_95,mult(B_96,ld(B_98,B_98))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2331,c_2331,c_2331,c_576]) ).
tff(c_2711,plain,
! [A_95,B_96,B_3] : ( mult(mult(A_95,B_96),ld(mult(B_3,ld(B_3,B_3)),ld(B_3,mult(B_3,B_3)))) = mult(A_95,mult(B_96,ld(B_3,B_3))) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_2520]) ).
tff(c_2765,plain,
! [A_95,B_96,B_3] : ( mult(mult(A_95,B_96),ld(B_3,B_3)) = mult(A_95,mult(B_96,ld(B_3,B_3))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2,c_2711]) ).
tff(c_11094,plain,
! [A_90,A_2] : ( ld(rd(A_90,A_2),mult(A_90,ld(A_2,A_2))) = ld(A_90,mult(A_90,A_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_2331,c_10904]) ).
tff(c_2767,plain,
! [A_99,B_100] : ( rd(mult(A_99,B_100),B_100) = mult(A_99,ld(B_100,B_100)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_8]) ).
tff(c_2773,plain,
! [A_99,B_100] : ( mult(mult(A_99,ld(B_100,B_100)),B_100) = mult(mult(A_99,B_100),ld(B_100,B_100)) ),
inference(superposition,[status(thm),theory(equality)],[c_2767,c_2331]) ).
tff(c_2824,plain,
! [A_99,B_100] : ( mult(mult(A_99,B_100),ld(B_100,B_100)) = mult(A_99,B_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_2344,c_2773]) ).
tff(c_6535,plain,
! [A_154,D_155,B_156] : ( ld(mult(A_154,D_155),mult(mult(A_154,D_155),B_156)) = ld(A_154,mult(A_154,B_156)) ),
inference(demodulation,[status(thm),theory(equality)],[c_415,c_251,c_4395]) ).
tff(c_6671,plain,
! [A_99,B_100] : ( ld(mult(A_99,B_100),mult(A_99,B_100)) = ld(A_99,mult(A_99,ld(B_100,B_100))) ),
inference(superposition,[status(thm),theory(equality)],[c_2824,c_6535]) ).
tff(c_2703,plain,
! [A_4,B_3,A_97,B_98] : ( mult(ld(A_4,mult(A_4,B_3)),ld(mult(A_97,ld(B_98,B_98)),mult(A_97,ld(B_98,B_98)))) = mult(A_4,mult(ld(A_4,B_3),ld(B_98,B_98))) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_2520]) ).
tff(c_38427,plain,
! [A_372,B_373,B_374] : ( mult(A_372,mult(ld(A_372,B_373),ld(B_374,B_374))) = ld(A_372,mult(A_372,mult(B_373,ld(B_374,B_374)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_21151,c_5487,c_251,c_6671,c_2703]) ).
tff(c_38717,plain,
! [A_90,A_2,B_374] : ( ld(rd(A_90,A_2),mult(rd(A_90,A_2),mult(mult(A_90,ld(A_2,A_2)),ld(B_374,B_374)))) = mult(rd(A_90,A_2),mult(ld(A_90,mult(A_90,A_2)),ld(B_374,B_374))) ),
inference(superposition,[status(thm),theory(equality)],[c_11094,c_38427]) ).
tff(c_40113,plain,
! [A_382,A_383,B_384] : ( mult(rd(A_382,A_383),mult(A_383,ld(B_384,B_384))) = mult(A_382,ld(B_384,B_384)) ),
inference(demodulation,[status(thm),theory(equality)],[c_11171,c_21151,c_395,c_7015,c_644,c_2765,c_251,c_38717]) ).
tff(c_650,plain,
! [A_53,B_54] : ( mult(mult(rd(A_53,B_54),B_54),B_54) = mult(A_53,B_54) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_111,c_630]) ).
tff(c_678,plain,
! [A_46,B_47,A_2] : ( mult(mult(A_46,mult(rd(B_47,A_2),A_2)),A_2) = mult(mult(A_46,B_47),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_579,c_650]) ).
tff(c_5074,plain,
! [A_46,B_47,A_2] : ( mult(mult(A_46,mult(B_47,ld(A_2,A_2))),A_2) = mult(mult(A_46,B_47),A_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_678]) ).
tff(c_40256,plain,
! [A_382,A_383,B_384] : ( mult(mult(rd(A_382,A_383),A_383),B_384) = mult(mult(A_382,ld(B_384,B_384)),B_384) ),
inference(superposition,[status(thm),theory(equality)],[c_40113,c_5074]) ).
tff(c_40506,plain,
! [A_382,A_383,B_384] : ( mult(mult(A_382,ld(A_383,A_383)),B_384) = mult(A_382,B_384) ),
inference(demodulation,[status(thm),theory(equality)],[c_2344,c_2331,c_40256]) ).
tff(c_16,plain,
( ( mult('#skF_4',ld('#skF_5',mult('#skF_5','#skF_6'))) != mult('#skF_4','#skF_6') )
| ( mult(rd(mult('#skF_1','#skF_2'),'#skF_2'),'#skF_3') != mult('#skF_1','#skF_3') ) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_18,plain,
( ( mult('#skF_4',ld('#skF_5',mult('#skF_5','#skF_6'))) != mult('#skF_4','#skF_6') )
| ( mult(mult(rd('#skF_1','#skF_2'),'#skF_2'),'#skF_3') != mult('#skF_1','#skF_3') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_16]) ).
tff(c_137,plain,
mult(mult(rd('#skF_1','#skF_2'),'#skF_2'),'#skF_3') != mult('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_2347,plain,
mult(mult('#skF_1',ld('#skF_2','#skF_2')),'#skF_3') != mult('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_137]) ).
tff(c_40572,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40506,c_2347]) ).
tff(c_40573,plain,
mult('#skF_4',ld('#skF_5',mult('#skF_5','#skF_6'))) != mult('#skF_4','#skF_6'),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_75325,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75170,c_40573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:12:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 32.37/17.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.37/17.38
% 32.37/17.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.87/17.44
% 32.87/17.44 Inference rules
% 32.87/17.44 ----------------------
% 32.87/17.44 #Ref : 0
% 32.87/17.44 #Sup : 18093
% 32.87/17.44 #Fact : 0
% 32.87/17.44 #Define : 0
% 32.87/17.44 #Split : 1
% 32.87/17.44 #Chain : 0
% 32.87/17.44 #Close : 0
% 32.87/17.44
% 32.87/17.44 Ordering : KBO
% 32.87/17.44
% 32.87/17.44 Simplification rules
% 32.87/17.44 ----------------------
% 32.87/17.44 #Subsume : 0
% 32.87/17.44 #Demod : 50215
% 32.87/17.44 #Tautology : 9424
% 32.87/17.44 #SimpNegUnit : 0
% 32.87/17.44 #BackRed : 76
% 32.87/17.44
% 32.87/17.44 #Partial instantiations: 0
% 32.87/17.44 #Strategies tried : 1
% 32.87/17.44
% 32.87/17.44 Timing (in seconds)
% 32.87/17.44 ----------------------
% 32.87/17.44 Preprocessing : 0.48
% 32.87/17.44 Parsing : 0.25
% 32.87/17.44 CNF conversion : 0.03
% 32.87/17.44 Main loop : 15.77
% 32.87/17.44 Inferencing : 2.73
% 32.87/17.44 Reduction : 10.95
% 32.87/17.44 Demodulation : 10.27
% 32.87/17.44 BG Simplification : 0.33
% 32.87/17.44 Subsumption : 1.27
% 32.87/17.44 Abstraction : 1.03
% 32.87/17.44 MUC search : 0.00
% 32.87/17.45 Cooper : 0.00
% 32.87/17.45 Total : 16.36
% 32.87/17.45 Index Insertion : 0.00
% 32.87/17.45 Index Deletion : 0.00
% 32.87/17.45 Index Matching : 0.00
% 32.87/17.45 BG Taut test : 0.00
%------------------------------------------------------------------------------