TSTP Solution File: GRP579-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP579-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n015.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 10:41:33 EDT 2023
% Result : Unsatisfiable 23.93s 14.68s
% Output : CNFRefutation 23.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 119 ( 112 unt; 7 typ; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 206 (; 206 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(identity,type,
identity: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_28,plain,
! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_37,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_65,plain,
! [B_13,A_14] : ( inverse(double_divide(B_13,A_14)) = multiply(A_14,B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_83,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_52,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(double_divide(B_2,A_1),C_3),double_divide(B_2,identity))),double_divide(identity,identity)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_236,plain,
! [A_21,B_22,C_23] : ( double_divide(double_divide(A_21,double_divide(double_divide(double_divide(B_22,A_21),C_23),inverse(B_22))),inverse(identity)) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_531,plain,
! [A_31,C_32] : ( double_divide(double_divide(inverse(A_31),double_divide(double_divide(identity,C_32),inverse(A_31))),inverse(identity)) = C_32 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_590,plain,
! [C_32] : ( double_divide(double_divide(inverse(double_divide(identity,C_32)),identity),inverse(identity)) = C_32 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_531]) ).
tff(c_603,plain,
! [C_33] : ( double_divide(inverse(multiply(C_33,identity)),inverse(identity)) = C_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_590]) ).
tff(c_631,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm),theory(equality)],[c_57,c_603]) ).
tff(c_636,plain,
double_divide(multiply(identity,identity),inverse(identity)) = inverse(identity),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_631]) ).
tff(c_655,plain,
multiply(inverse(identity),multiply(identity,identity)) = inverse(inverse(identity)),
inference(superposition,[status(thm),theory(equality)],[c_636,c_37]) ).
tff(c_663,plain,
multiply(inverse(identity),multiply(identity,identity)) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_655]) ).
tff(c_302,plain,
! [A_21,B_22] : ( double_divide(double_divide(A_21,double_divide(inverse(double_divide(B_22,A_21)),inverse(B_22))),inverse(identity)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_319,plain,
! [A_21,B_22] : ( double_divide(double_divide(A_21,double_divide(multiply(A_21,B_22),inverse(B_22))),inverse(identity)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_302]) ).
tff(c_696,plain,
double_divide(double_divide(inverse(identity),double_divide(multiply(identity,identity),inverse(multiply(identity,identity)))),inverse(identity)) = identity,
inference(superposition,[status(thm),theory(equality)],[c_663,c_319]) ).
tff(c_705,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_636,c_83,c_6,c_8,c_696]) ).
tff(c_602,plain,
! [C_32] : ( double_divide(inverse(multiply(C_32,identity)),inverse(identity)) = C_32 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_590]) ).
tff(c_856,plain,
! [C_38] : ( double_divide(inverse(multiply(C_38,identity)),identity) = C_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_705,c_602]) ).
tff(c_46,plain,
! [A_6] : ( double_divide(inverse(A_6),identity) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_868,plain,
! [C_38] : ( multiply(identity,multiply(C_38,identity)) = C_38 ),
inference(superposition,[status(thm),theory(equality)],[c_856,c_46]) ).
tff(c_115,plain,
! [A_16] : ( double_divide(inverse(A_16),identity) = multiply(identity,A_16) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_4,plain,
! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_124,plain,
! [A_16] : ( multiply(identity,inverse(A_16)) = double_divide(multiply(identity,A_16),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_4]) ).
tff(c_141,plain,
! [A_16] : ( multiply(identity,inverse(A_16)) = inverse(multiply(identity,A_16)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_124]) ).
tff(c_298,plain,
! [A_6,C_23] : ( double_divide(double_divide(identity,double_divide(double_divide(inverse(A_6),C_23),inverse(A_6))),inverse(identity)) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_927,plain,
! [A_40,C_41] : ( multiply(double_divide(double_divide(inverse(A_40),C_41),inverse(A_40)),identity) = C_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_705,c_298]) ).
tff(c_948,plain,
! [C_41] : ( multiply(double_divide(double_divide(identity,C_41),inverse(identity)),identity) = C_41 ),
inference(superposition,[status(thm),theory(equality)],[c_705,c_927]) ).
tff(c_1117,plain,
! [C_44] : ( multiply(multiply(C_44,identity),identity) = C_44 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_705,c_948]) ).
tff(c_877,plain,
! [C_38] : ( inverse(inverse(multiply(C_38,identity))) = C_38 ),
inference(superposition,[status(thm),theory(equality)],[c_856,c_6]) ).
tff(c_1162,plain,
! [C_45] : ( inverse(inverse(C_45)) = multiply(C_45,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1117,c_877]) ).
tff(c_1183,plain,
! [C_45] : ( inverse(multiply(identity,inverse(C_45))) = multiply(identity,multiply(C_45,identity)) ),
inference(superposition,[status(thm),theory(equality)],[c_1162,c_141]) ).
tff(c_1227,plain,
! [C_45] : ( multiply(identity,multiply(identity,C_45)) = C_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_868,c_83,c_141,c_1183]) ).
tff(c_1132,plain,
! [C_44] : ( multiply(identity,C_44) = multiply(C_44,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1117,c_868]) ).
tff(c_1198,plain,
! [C_45] : ( double_divide(inverse(C_45),multiply(C_45,identity)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_1162,c_8]) ).
tff(c_926,plain,
! [A_6,C_23] : ( multiply(double_divide(double_divide(inverse(A_6),C_23),inverse(A_6)),identity) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_705,c_298]) ).
tff(c_80,plain,
! [B_5,A_4] : ( multiply(identity,double_divide(B_5,A_4)) = inverse(multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_292,plain,
! [A_4,B_5,C_23] : ( double_divide(double_divide(identity,double_divide(double_divide(multiply(A_4,B_5),C_23),inverse(double_divide(B_5,A_4)))),inverse(identity)) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_236]) ).
tff(c_318,plain,
! [A_4,B_5,C_23] : ( double_divide(double_divide(identity,double_divide(double_divide(multiply(A_4,B_5),C_23),multiply(A_4,B_5))),inverse(identity)) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_292]) ).
tff(c_1801,plain,
! [A_55,B_56,C_57] : ( inverse(multiply(multiply(A_55,B_56),double_divide(multiply(A_55,B_56),C_57))) = C_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_1132,c_37,c_6,c_705,c_318]) ).
tff(c_1882,plain,
! [C_23,A_6,C_57] : ( inverse(multiply(C_23,double_divide(multiply(double_divide(double_divide(inverse(A_6),C_23),inverse(A_6)),identity),C_57))) = C_57 ),
inference(superposition,[status(thm),theory(equality)],[c_926,c_1801]) ).
tff(c_3184,plain,
! [C_74,C_75] : ( inverse(multiply(C_74,double_divide(C_74,C_75))) = C_75 ),
inference(demodulation,[status(thm),theory(equality)],[c_926,c_1882]) ).
tff(c_3271,plain,
! [C_45] : ( inverse(multiply(inverse(C_45),identity)) = multiply(C_45,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1198,c_3184]) ).
tff(c_3314,plain,
! [C_45] : ( multiply(C_45,identity) = C_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_1227,c_83,c_141,c_1132,c_3271]) ).
tff(c_3331,plain,
! [C_38] : ( multiply(identity,C_38) = C_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_3314,c_868]) ).
tff(c_3506,plain,
! [A_4,B_5] : ( inverse(multiply(A_4,B_5)) = double_divide(B_5,A_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_3331,c_80]) ).
tff(c_1233,plain,
! [C_46] : ( multiply(identity,C_46) = multiply(C_46,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1117,c_868]) ).
tff(c_1251,plain,
! [C_46] : ( inverse(inverse(multiply(identity,C_46))) = C_46 ),
inference(superposition,[status(thm),theory(equality)],[c_1233,c_877]) ).
tff(c_3223,plain,
! [C_75] : ( double_divide(identity,C_75) = inverse(C_75) ),
inference(superposition,[status(thm),theory(equality)],[c_3184,c_1251]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(double_divide(B_2,A_1),C_3),inverse(B_2))),inverse(identity)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_546,plain,
! [C_32,A_31] : ( double_divide(double_divide(double_divide(double_divide(identity,C_32),inverse(A_31)),double_divide(C_32,inverse(inverse(A_31)))),inverse(identity)) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_531,c_11]) ).
tff(c_593,plain,
! [C_32,A_31] : ( double_divide(double_divide(double_divide(double_divide(identity,C_32),inverse(A_31)),double_divide(C_32,multiply(identity,A_31))),inverse(identity)) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_546]) ).
tff(c_11631,plain,
! [C_32,A_31] : ( multiply(double_divide(C_32,A_31),double_divide(inverse(C_32),inverse(A_31))) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_3223,c_3331,c_705,c_37,c_6,c_705,c_593]) ).
tff(c_3330,plain,
! [C_38] : ( inverse(inverse(C_38)) = C_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_3314,c_877]) ).
tff(c_268,plain,
! [B_2,A_21,C_3] : ( double_divide(double_divide(double_divide(B_2,double_divide(identity,A_21)),C_3),inverse(B_2)) = double_divide(double_divide(A_21,C_3),inverse(identity)) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_236]) ).
tff(c_2322,plain,
! [B_62,A_63,C_64] : ( double_divide(double_divide(double_divide(B_62,double_divide(identity,A_63)),C_64),inverse(B_62)) = multiply(C_64,A_63) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_705,c_268]) ).
tff(c_2400,plain,
! [A_63,B_5] : ( double_divide(multiply(double_divide(identity,A_63),B_5),inverse(B_5)) = multiply(identity,A_63) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2322]) ).
tff(c_5414,plain,
! [A_109,B_110] : ( double_divide(multiply(inverse(A_109),B_110),inverse(B_110)) = A_109 ),
inference(demodulation,[status(thm),theory(equality)],[c_3223,c_3331,c_2400]) ).
tff(c_13213,plain,
! [C_190,B_191] : ( double_divide(multiply(C_190,B_191),inverse(B_191)) = inverse(C_190) ),
inference(superposition,[status(thm),theory(equality)],[c_3330,c_5414]) ).
tff(c_13316,plain,
! [C_32,A_31] : ( double_divide(identity,inverse(double_divide(inverse(C_32),inverse(A_31)))) = inverse(double_divide(C_32,A_31)) ),
inference(superposition,[status(thm),theory(equality)],[c_11631,c_13213]) ).
tff(c_13443,plain,
! [C_32,A_31] : ( double_divide(inverse(C_32),inverse(A_31)) = multiply(A_31,C_32) ),
inference(demodulation,[status(thm),theory(equality)],[c_3506,c_3223,c_37,c_37,c_13316]) ).
tff(c_309,plain,
! [A_21,B_22] : ( double_divide(double_divide(A_21,double_divide(identity,inverse(B_22))),inverse(identity)) = inverse(double_divide(B_22,A_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_709,plain,
! [A_35,B_36] : ( double_divide(double_divide(A_35,double_divide(identity,inverse(B_36))),inverse(identity)) = multiply(A_35,B_36) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_309]) ).
tff(c_741,plain,
! [A_35,B_36] : ( multiply(inverse(identity),double_divide(A_35,double_divide(identity,inverse(B_36)))) = double_divide(multiply(A_35,B_36),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_709,c_4]) ).
tff(c_757,plain,
! [A_35,B_36] : ( multiply(inverse(identity),double_divide(A_35,double_divide(identity,inverse(B_36)))) = inverse(multiply(A_35,B_36)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_741]) ).
tff(c_5822,plain,
! [B_36,A_35] : ( double_divide(B_36,A_35) = double_divide(A_35,B_36) ),
inference(demodulation,[status(thm),theory(equality)],[c_3506,c_3330,c_3223,c_3331,c_705,c_757]) ).
tff(c_2393,plain,
! [A_6,A_63,C_64] : ( double_divide(double_divide(double_divide(inverse(A_6),double_divide(identity,A_63)),C_64),multiply(identity,A_6)) = multiply(C_64,A_63) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_2322]) ).
tff(c_43329,plain,
! [A_366,A_367,C_368] : ( double_divide(A_366,double_divide(multiply(A_367,A_366),C_368)) = multiply(C_368,A_367) ),
inference(demodulation,[status(thm),theory(equality)],[c_13443,c_5822,c_3223,c_3331,c_2393]) ).
tff(c_239,plain,
! [C_23,C_3,A_21,B_22] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(C_23,C_3),inverse(double_divide(A_21,double_divide(double_divide(double_divide(B_22,A_21),C_23),inverse(B_22)))))),inverse(identity)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_11]) ).
tff(c_310,plain,
! [C_23,C_3,B_22,A_21] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(C_23,C_3),multiply(double_divide(double_divide(double_divide(B_22,A_21),C_23),inverse(B_22)),A_21))),inverse(identity)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_239]) ).
tff(c_3635,plain,
! [C_80,C_81,B_82,A_83] : ( double_divide(double_divide(C_80,C_81),multiply(double_divide(double_divide(double_divide(B_82,A_83),C_80),inverse(B_82)),A_83)) = C_81 ),
inference(demodulation,[status(thm),theory(equality)],[c_3314,c_37,c_6,c_705,c_705,c_310]) ).
tff(c_3762,plain,
! [C_80,C_81,A_6] : ( double_divide(double_divide(C_80,C_81),multiply(double_divide(double_divide(inverse(A_6),C_80),inverse(A_6)),identity)) = C_81 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_3635]) ).
tff(c_3794,plain,
! [C_80,C_81] : ( double_divide(double_divide(C_80,C_81),C_80) = C_81 ),
inference(demodulation,[status(thm),theory(equality)],[c_926,c_3762]) ).
tff(c_5829,plain,
! [B_115,A_116] : ( double_divide(B_115,A_116) = double_divide(A_116,B_115) ),
inference(demodulation,[status(thm),theory(equality)],[c_3506,c_3330,c_3223,c_3331,c_705,c_757]) ).
tff(c_6359,plain,
! [B_121,A_122] : ( double_divide(double_divide(B_121,A_122),identity) = multiply(B_121,A_122) ),
inference(superposition,[status(thm),theory(equality)],[c_5829,c_4]) ).
tff(c_6470,plain,
! [C_80,C_81] : ( multiply(double_divide(C_80,C_81),C_80) = double_divide(C_81,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_3794,c_6359]) ).
tff(c_6530,plain,
! [C_80,C_81] : ( multiply(double_divide(C_80,C_81),C_80) = inverse(C_81) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6470]) ).
tff(c_43550,plain,
! [A_367,A_366,C_368] : ( inverse(double_divide(multiply(A_367,A_366),C_368)) = multiply(multiply(C_368,A_367),A_366) ),
inference(superposition,[status(thm),theory(equality)],[c_43329,c_6530]) ).
tff(c_43922,plain,
! [C_368,A_367,A_366] : ( multiply(multiply(C_368,A_367),A_366) = multiply(C_368,multiply(A_367,A_366)) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_43550]) ).
tff(c_725,plain,
! [A_35,B_36,C_3] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(A_35,B_36),C_3),inverse(double_divide(A_35,double_divide(identity,inverse(B_36)))))),inverse(identity)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_709,c_11]) ).
tff(c_756,plain,
! [A_35,B_36,C_3] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(A_35,B_36),C_3),multiply(double_divide(identity,inverse(B_36)),A_35))),inverse(identity)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_725]) ).
tff(c_13667,plain,
! [B_194,A_195,C_196] : ( double_divide(multiply(B_194,A_195),double_divide(multiply(A_195,B_194),C_196)) = C_196 ),
inference(demodulation,[status(thm),theory(equality)],[c_5822,c_3330,c_3223,c_3314,c_37,c_6,c_705,c_705,c_756]) ).
tff(c_29031,plain,
! [A_296,B_297,C_298] : ( double_divide(multiply(A_296,B_297),C_298) = double_divide(C_298,multiply(B_297,A_296)) ),
inference(superposition,[status(thm),theory(equality)],[c_13667,c_3794]) ).
tff(c_29407,plain,
! [C_298,B_297,A_296] : ( double_divide(double_divide(C_298,multiply(B_297,A_296)),multiply(A_296,B_297)) = C_298 ),
inference(superposition,[status(thm),theory(equality)],[c_29031,c_3794]) ).
tff(c_4185,plain,
! [C_90,C_91] : ( double_divide(double_divide(C_90,C_91),C_90) = C_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_926,c_3762]) ).
tff(c_4188,plain,
! [C_91,C_90] : ( double_divide(C_91,double_divide(C_90,C_91)) = C_90 ),
inference(superposition,[status(thm),theory(equality)],[c_4185,c_3794]) ).
tff(c_6418,plain,
! [B_121,A_122] : ( multiply(B_121,A_122) = multiply(A_122,B_121) ),
inference(superposition,[status(thm),theory(equality)],[c_6359,c_4]) ).
tff(c_289,plain,
! [A_21,B_10,A_11,C_23] : ( double_divide(double_divide(A_21,double_divide(double_divide(double_divide(double_divide(B_10,A_11),A_21),C_23),multiply(A_11,B_10))),inverse(identity)) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_37,c_236]) ).
tff(c_12726,plain,
! [A_186,A_187,B_188,C_189] : ( multiply(A_186,double_divide(multiply(A_187,B_188),double_divide(double_divide(double_divide(B_188,A_187),A_186),C_189))) = C_189 ),
inference(demodulation,[status(thm),theory(equality)],[c_6418,c_5822,c_37,c_6,c_705,c_289]) ).
tff(c_77301,plain,
! [A_502,B_503,A_504] : ( multiply(A_502,double_divide(double_divide(B_503,A_504),A_502)) = multiply(A_504,B_503) ),
inference(superposition,[status(thm),theory(equality)],[c_4188,c_12726]) ).
tff(c_77671,plain,
! [B_297,A_296,C_298] : ( multiply(multiply(B_297,A_296),C_298) = multiply(multiply(A_296,B_297),C_298) ),
inference(superposition,[status(thm),theory(equality)],[c_29407,c_77301]) ).
tff(c_77981,plain,
! [B_297,A_296,C_298] : ( multiply(B_297,multiply(A_296,C_298)) = multiply(A_296,multiply(B_297,C_298)) ),
inference(demodulation,[status(thm),theory(equality)],[c_43922,c_43922,c_77671]) ).
tff(c_61521,plain,
! [C_436,B_437,A_438] : ( double_divide(double_divide(C_436,multiply(B_437,A_438)),identity) = multiply(C_436,multiply(A_438,B_437)) ),
inference(superposition,[status(thm),theory(equality)],[c_29031,c_4]) ).
tff(c_1938,plain,
! [C_23,C_57] : ( inverse(multiply(C_23,double_divide(C_23,C_57))) = C_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_926,c_1882]) ).
tff(c_3413,plain,
! [C_77] : ( inverse(inverse(C_77)) = C_77 ),
inference(demodulation,[status(thm),theory(equality)],[c_3314,c_877]) ).
tff(c_3470,plain,
! [C_23,C_57] : ( multiply(C_23,double_divide(C_23,C_57)) = inverse(C_57) ),
inference(superposition,[status(thm),theory(equality)],[c_1938,c_3413]) ).
tff(c_5859,plain,
! [B_115,A_116] : ( multiply(B_115,double_divide(A_116,B_115)) = inverse(A_116) ),
inference(superposition,[status(thm),theory(equality)],[c_5829,c_3470]) ).
tff(c_61631,plain,
! [C_436,A_438,B_437] : ( multiply(identity,multiply(C_436,multiply(A_438,B_437))) = inverse(double_divide(C_436,multiply(B_437,A_438))) ),
inference(superposition,[status(thm),theory(equality)],[c_61521,c_5859]) ).
tff(c_62020,plain,
! [C_436,A_438,B_437] : ( multiply(C_436,multiply(A_438,B_437)) = multiply(B_437,multiply(A_438,C_436)) ),
inference(demodulation,[status(thm),theory(equality)],[c_43922,c_3331,c_37,c_61631]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_6543,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_6418,c_10]) ).
tff(c_84534,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_62020,c_6543]) ).
tff(c_100435,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77981,c_84534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP579-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:40:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 23.93/14.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.93/14.71
% 23.93/14.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.93/14.75
% 23.93/14.75 Inference rules
% 23.93/14.75 ----------------------
% 23.93/14.75 #Ref : 0
% 23.93/14.75 #Sup : 25464
% 23.93/14.75 #Fact : 0
% 23.93/14.75 #Define : 0
% 23.93/14.75 #Split : 0
% 23.93/14.75 #Chain : 0
% 23.93/14.75 #Close : 0
% 23.93/14.75
% 23.93/14.75 Ordering : KBO
% 23.93/14.75
% 23.93/14.75 Simplification rules
% 23.93/14.75 ----------------------
% 23.93/14.75 #Subsume : 1699
% 23.93/14.75 #Demod : 43060
% 23.93/14.75 #Tautology : 10469
% 23.93/14.75 #SimpNegUnit : 0
% 23.93/14.75 #BackRed : 95
% 23.93/14.75
% 23.93/14.75 #Partial instantiations: 0
% 23.93/14.75 #Strategies tried : 1
% 23.93/14.75
% 23.93/14.75 Timing (in seconds)
% 23.93/14.75 ----------------------
% 23.93/14.75 Preprocessing : 0.42
% 23.93/14.75 Parsing : 0.22
% 23.93/14.75 CNF conversion : 0.02
% 23.93/14.75 Main loop : 13.24
% 23.93/14.75 Inferencing : 1.62
% 23.93/14.75 Reduction : 9.13
% 23.93/14.76 Demodulation : 8.64
% 23.93/14.76 BG Simplification : 0.21
% 23.93/14.76 Subsumption : 1.71
% 23.93/14.76 Abstraction : 0.39
% 23.93/14.76 MUC search : 0.00
% 23.93/14.76 Cooper : 0.00
% 23.93/14.76 Total : 13.74
% 23.93/14.76 Index Insertion : 0.00
% 23.93/14.76 Index Deletion : 0.00
% 23.93/14.76 Index Matching : 0.00
% 23.93/14.76 BG Taut test : 0.00
%------------------------------------------------------------------------------