TSTP Solution File: GRP501-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP501-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.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 10:41:23 EDT 2023
% Result : Unsatisfiable 105.67s 65.40s
% Output : CNFRefutation 105.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 9
% Syntax : Number of formulae : 109 ( 103 unt; 6 typ; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 392 (; 392 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > 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(f_25,axiom,
! [A,B] : ( multiply(A,B) = inverse(double_divide(B,A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C,D] : ( double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_4,plain,
! [B_6,A_5] : ( inverse(double_divide(B_6,A_5)) = multiply(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( double_divide(inverse(A_1),inverse(double_divide(inverse(double_divide(A_1,double_divide(B_2,C_3))),double_divide(D_4,double_divide(B_2,D_4))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_7,plain,
! [A_1,D_4,B_2,C_3] : ( double_divide(inverse(A_1),multiply(double_divide(D_4,double_divide(B_2,D_4)),multiply(double_divide(B_2,C_3),A_1))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_17,plain,
! [A_9,D_10,B_11,C_12] : ( double_divide(inverse(A_9),multiply(double_divide(D_10,double_divide(B_11,D_10)),multiply(double_divide(B_11,C_12),A_9))) = C_12 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_245,plain,
! [A_37,D_33,D_34,B_35,A_38,C_36] : ( multiply(double_divide(D_34,double_divide(B_35,D_34)),multiply(double_divide(B_35,C_36),A_37)) = double_divide(inverse(A_38),multiply(double_divide(D_33,double_divide(inverse(A_37),D_33)),multiply(C_36,A_38))) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_545,plain,
! [D_45,B_46,A_47,C_48] : ( multiply(double_divide(D_45,double_divide(B_46,D_45)),multiply(double_divide(B_46,double_divide(inverse(A_47),C_48)),A_47)) = C_48 ),
inference(superposition,[status(thm),theory(equality)],[c_245,c_7]) ).
tff(c_644,plain,
! [B_6,D_45,C_48,A_5,B_46] : ( multiply(double_divide(D_45,double_divide(B_46,D_45)),multiply(double_divide(B_46,double_divide(multiply(A_5,B_6),C_48)),double_divide(B_6,A_5))) = C_48 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_545]) ).
tff(c_343,plain,
! [D_34,B_35,A_37,C_3] : ( multiply(double_divide(D_34,double_divide(B_35,D_34)),multiply(double_divide(B_35,double_divide(inverse(A_37),C_3)),A_37)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_245,c_7]) ).
tff(c_41,plain,
! [B_11,B_6,C_12,D_10,A_5] : ( double_divide(multiply(A_5,B_6),multiply(double_divide(D_10,double_divide(B_11,D_10)),multiply(double_divide(B_11,C_12),double_divide(B_6,A_5)))) = C_12 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_321,plain,
! [B_6,D_33,A_5,A_38,C_36] : ( double_divide(multiply(A_5,B_6),double_divide(inverse(A_38),multiply(double_divide(D_33,double_divide(inverse(double_divide(B_6,A_5)),D_33)),multiply(C_36,A_38)))) = C_36 ),
inference(superposition,[status(thm),theory(equality)],[c_245,c_41]) ).
tff(c_1278,plain,
! [D_70,B_68,A_67,C_71,A_69] : ( double_divide(multiply(A_69,B_68),double_divide(inverse(A_67),multiply(double_divide(D_70,double_divide(multiply(A_69,B_68),D_70)),multiply(C_71,A_67)))) = C_71 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_321]) ).
tff(c_1384,plain,
! [D_70,C_3,A_37,A_67,D_34,B_35,C_71] : ( double_divide(C_3,double_divide(inverse(A_67),multiply(double_divide(D_70,double_divide(multiply(double_divide(D_34,double_divide(B_35,D_34)),multiply(double_divide(B_35,double_divide(inverse(A_37),C_3)),A_37)),D_70)),multiply(C_71,A_67)))) = C_71 ),
inference(superposition,[status(thm),theory(equality)],[c_343,c_1278]) ).
tff(c_1466,plain,
! [C_72,A_73,D_74,C_75] : ( double_divide(C_72,double_divide(inverse(A_73),multiply(double_divide(D_74,double_divide(C_72,D_74)),multiply(C_75,A_73)))) = C_75 ),
inference(demodulation,[status(thm),theory(equality)],[c_343,c_1384]) ).
tff(c_1964,plain,
! [D_88,D_85,C_86,A_89,C_87] : ( multiply(double_divide(D_88,double_divide(C_87,D_88)),multiply(C_86,A_89)) = multiply(double_divide(D_85,double_divide(C_87,D_85)),multiply(C_86,A_89)) ),
inference(superposition,[status(thm),theory(equality)],[c_1466,c_343]) ).
tff(c_2235,plain,
! [B_6,D_88,D_85,D_45,C_48,A_5,B_46,C_87] : ( multiply(double_divide(D_88,double_divide(C_87,D_88)),C_48) = multiply(double_divide(D_85,double_divide(C_87,D_85)),multiply(double_divide(D_45,double_divide(B_46,D_45)),multiply(double_divide(B_46,double_divide(multiply(A_5,B_6),C_48)),double_divide(B_6,A_5)))) ),
inference(superposition,[status(thm),theory(equality)],[c_644,c_1964]) ).
tff(c_2537,plain,
! [D_98,C_96,C_97,D_95] : ( multiply(double_divide(D_98,double_divide(C_96,D_98)),C_97) = multiply(double_divide(D_95,double_divide(C_96,D_95)),C_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_644,c_2235]) ).
tff(c_2906,plain,
! [D_99,D_100,D_101,C_102] : ( multiply(double_divide(D_99,double_divide(D_100,D_99)),multiply(double_divide(D_101,double_divide(inverse(C_102),D_101)),C_102)) = D_100 ),
inference(superposition,[status(thm),theory(equality)],[c_2537,c_343]) ).
tff(c_3095,plain,
! [B_6,D_99,D_100,A_5,D_101] : ( multiply(double_divide(D_99,double_divide(D_100,D_99)),multiply(double_divide(D_101,double_divide(multiply(A_5,B_6),D_101)),double_divide(B_6,A_5))) = D_100 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2906]) ).
tff(c_1629,plain,
! [D_74,B_6,C_75,A_5,C_72] : ( double_divide(C_72,double_divide(multiply(A_5,B_6),multiply(double_divide(D_74,double_divide(C_72,D_74)),multiply(C_75,double_divide(B_6,A_5))))) = C_75 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1466]) ).
tff(c_2933,plain,
! [D_101,B_6,A_5,D_100] : ( double_divide(D_101,double_divide(inverse(double_divide(B_6,A_5)),D_101)) = double_divide(D_100,double_divide(multiply(A_5,B_6),D_100)) ),
inference(superposition,[status(thm),theory(equality)],[c_2906,c_1629]) ).
tff(c_5604,plain,
! [D_133,A_131,B_132,D_130] : ( double_divide(D_133,double_divide(multiply(A_131,B_132),D_133)) = double_divide(D_130,double_divide(multiply(A_131,B_132),D_130)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2933]) ).
tff(c_6099,plain,
! [B_6,D_130,D_99,D_133,D_100,A_5,D_101] : ( double_divide(D_133,double_divide(D_100,D_133)) = double_divide(D_130,double_divide(multiply(double_divide(D_99,double_divide(D_100,D_99)),multiply(double_divide(D_101,double_divide(multiply(A_5,B_6),D_101)),double_divide(B_6,A_5))),D_130)) ),
inference(superposition,[status(thm),theory(equality)],[c_3095,c_5604]) ).
tff(c_6271,plain,
! [D_133,D_100,D_130] : ( double_divide(D_133,double_divide(D_100,D_133)) = double_divide(D_130,double_divide(D_100,D_130)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3095,c_6099]) ).
tff(c_6289,plain,
! [D_136,D_135,D_134] : ( double_divide(D_136,double_divide(D_135,D_136)) = double_divide(D_134,double_divide(D_135,D_134)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3095,c_6099]) ).
tff(c_7652,plain,
! [D_149,D_150,D_151,D_152] : ( double_divide(double_divide(D_149,D_150),double_divide(D_151,double_divide(D_149,D_151))) = double_divide(D_152,double_divide(D_150,D_152)) ),
inference(superposition,[status(thm),theory(equality)],[c_6271,c_6289]) ).
tff(c_8216,plain,
! [D_151,D_149,D_150,D_152] : ( multiply(double_divide(D_151,double_divide(D_149,D_151)),double_divide(D_149,D_150)) = inverse(double_divide(D_152,double_divide(D_150,D_152))) ),
inference(superposition,[status(thm),theory(equality)],[c_7652,c_4]) ).
tff(c_2647,plain,
! [D_34,D_95,D_98,C_97] : ( multiply(double_divide(D_34,double_divide(D_95,D_34)),multiply(double_divide(D_98,double_divide(inverse(C_97),D_98)),C_97)) = D_95 ),
inference(superposition,[status(thm),theory(equality)],[c_2537,c_343]) ).
tff(c_14956,plain,
! [D_211,D_212,D_213,C_214] : ( multiply(double_divide(D_211,double_divide(D_212,D_211)),inverse(multiply(double_divide(D_213,double_divide(inverse(C_214),D_213)),C_214))) = D_212 ),
inference(superposition,[status(thm),theory(equality)],[c_2647,c_2906]) ).
tff(c_17090,plain,
! [D_231,D_232,D_233,C_234] : ( multiply(double_divide(D_231,double_divide(D_232,D_231)),inverse(inverse(multiply(double_divide(D_233,double_divide(inverse(C_234),D_233)),C_234)))) = D_232 ),
inference(superposition,[status(thm),theory(equality)],[c_14956,c_2647]) ).
tff(c_17420,plain,
! [B_6,D_231,D_232,A_5,D_233] : ( multiply(double_divide(D_231,double_divide(D_232,D_231)),inverse(inverse(multiply(double_divide(D_233,double_divide(multiply(A_5,B_6),D_233)),double_divide(B_6,A_5))))) = D_232 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17090]) ).
tff(c_35,plain,
! [D_10,B_2,C_3,A_1,D_4,A_9] : ( multiply(double_divide(D_4,double_divide(B_2,D_4)),multiply(double_divide(B_2,C_3),A_1)) = double_divide(inverse(A_9),multiply(double_divide(D_10,double_divide(inverse(A_1),D_10)),multiply(C_3,A_9))) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_1775,plain,
! [C_80,B_81,D_83,A_84,C_82] : ( double_divide(C_82,double_divide(multiply(A_84,B_81),multiply(double_divide(D_83,double_divide(C_82,D_83)),multiply(C_80,double_divide(B_81,A_84))))) = C_80 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1466]) ).
tff(c_1873,plain,
! [C_80,B_81,D_83,A_84,C_82] : ( multiply(double_divide(multiply(A_84,B_81),multiply(double_divide(D_83,double_divide(C_82,D_83)),multiply(C_80,double_divide(B_81,A_84)))),C_82) = inverse(C_80) ),
inference(superposition,[status(thm),theory(equality)],[c_1775,c_4]) ).
tff(c_2926,plain,
! [A_84,B_81,D_100,D_101] : ( multiply(double_divide(multiply(A_84,B_81),D_100),D_100) = inverse(double_divide(D_101,double_divide(inverse(double_divide(B_81,A_84)),D_101))) ),
inference(superposition,[status(thm),theory(equality)],[c_2906,c_1873]) ).
tff(c_4632,plain,
! [A_118,B_119,D_121,D_120] : ( multiply(double_divide(multiply(A_118,B_119),D_121),D_121) = multiply(double_divide(multiply(A_118,B_119),D_120),D_120) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2926]) ).
tff(c_4881,plain,
! [D_95,D_120,D_121,C_97,D_34,D_98] : ( multiply(double_divide(multiply(double_divide(D_34,double_divide(D_95,D_34)),multiply(double_divide(D_98,double_divide(inverse(C_97),D_98)),C_97)),D_120),D_120) = multiply(double_divide(D_95,D_121),D_121) ),
inference(superposition,[status(thm),theory(equality)],[c_2647,c_4632]) ).
tff(c_5005,plain,
! [D_122,D_124,D_123] : ( multiply(double_divide(D_122,D_124),D_124) = multiply(double_divide(D_122,D_123),D_123) ),
inference(demodulation,[status(thm),theory(equality)],[c_2647,c_4881]) ).
tff(c_10998,plain,
! [D_177,D_178,D_179,D_180] : ( double_divide(inverse(D_177),multiply(double_divide(D_178,double_divide(D_179,D_178)),multiply(double_divide(D_179,D_180),D_180))) = D_177 ),
inference(superposition,[status(thm),theory(equality)],[c_5005,c_7]) ).
tff(c_17896,plain,
! [D_240,A_241,D_242,A_243] : ( double_divide(inverse(D_240),double_divide(inverse(A_241),multiply(double_divide(D_242,double_divide(inverse(A_243),D_242)),multiply(A_243,A_241)))) = D_240 ),
inference(superposition,[status(thm),theory(equality)],[c_35,c_10998]) ).
tff(c_18372,plain,
! [D_240,B_6,A_5,D_101] : ( double_divide(inverse(D_240),double_divide(inverse(double_divide(B_6,A_5)),inverse(double_divide(D_101,double_divide(multiply(A_5,B_6),D_101))))) = D_240 ),
inference(superposition,[status(thm),theory(equality)],[c_3095,c_17896]) ).
tff(c_19356,plain,
! [D_250,A_251,B_252,D_253] : ( double_divide(inverse(D_250),double_divide(multiply(A_251,B_252),multiply(double_divide(multiply(A_251,B_252),D_253),D_253))) = D_250 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_18372]) ).
tff(c_19677,plain,
! [D_253,B_6,D_231,D_250,D_232,A_5,D_233] : ( double_divide(inverse(D_250),double_divide(D_232,multiply(double_divide(multiply(double_divide(D_231,double_divide(D_232,D_231)),inverse(inverse(multiply(double_divide(D_233,double_divide(multiply(A_5,B_6),D_233)),double_divide(B_6,A_5))))),D_253),D_253))) = D_250 ),
inference(superposition,[status(thm),theory(equality)],[c_17420,c_19356]) ).
tff(c_19994,plain,
! [D_254,D_255,D_256] : ( double_divide(inverse(D_254),double_divide(D_255,multiply(double_divide(D_255,D_256),D_256))) = D_254 ),
inference(demodulation,[status(thm),theory(equality)],[c_17420,c_19677]) ).
tff(c_21312,plain,
! [D_264,D_265,D_266] : ( multiply(double_divide(D_264,multiply(double_divide(D_264,D_265),D_265)),inverse(D_266)) = inverse(D_266) ),
inference(superposition,[status(thm),theory(equality)],[c_19994,c_4]) ).
tff(c_21560,plain,
! [D_264,D_265,A_5,B_6] : ( multiply(double_divide(D_264,multiply(double_divide(D_264,D_265),D_265)),multiply(A_5,B_6)) = inverse(double_divide(B_6,A_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_21312]) ).
tff(c_23172,plain,
! [D_278,D_279,A_280,B_281] : ( multiply(double_divide(D_278,multiply(double_divide(D_278,D_279),D_279)),multiply(A_280,B_281)) = multiply(A_280,B_281) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_21560]) ).
tff(c_23385,plain,
! [B_6,D_231,D_278,D_232,A_5,D_233,D_279] : ( multiply(double_divide(D_278,multiply(double_divide(D_278,D_279),D_279)),D_232) = multiply(double_divide(D_231,double_divide(D_232,D_231)),inverse(inverse(multiply(double_divide(D_233,double_divide(multiply(A_5,B_6),D_233)),double_divide(B_6,A_5))))) ),
inference(superposition,[status(thm),theory(equality)],[c_17420,c_23172]) ).
tff(c_24338,plain,
! [D_289,D_290,D_291] : ( multiply(double_divide(D_289,multiply(double_divide(D_289,D_290),D_290)),D_291) = D_291 ),
inference(demodulation,[status(thm),theory(equality)],[c_17420,c_23385]) ).
tff(c_32605,plain,
! [D_331,D_332,D_333,D_334] : ( multiply(double_divide(D_331,D_332),D_332) = double_divide(inverse(D_333),multiply(double_divide(D_334,double_divide(D_331,D_334)),D_333)) ),
inference(superposition,[status(thm),theory(equality)],[c_24338,c_7]) ).
tff(c_33516,plain,
! [D_149,D_332,D_150,D_152] : ( multiply(double_divide(D_149,D_332),D_332) = double_divide(inverse(double_divide(D_149,D_150)),inverse(double_divide(D_152,double_divide(D_150,D_152)))) ),
inference(superposition,[status(thm),theory(equality)],[c_8216,c_32605]) ).
tff(c_33731,plain,
! [D_335,D_336,D_337,D_338] : ( multiply(double_divide(D_335,D_336),D_336) = double_divide(multiply(D_337,D_335),multiply(double_divide(D_337,D_338),D_338)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_33516]) ).
tff(c_23609,plain,
! [D_278,D_279,D_232] : ( multiply(double_divide(D_278,multiply(double_divide(D_278,D_279),D_279)),D_232) = D_232 ),
inference(demodulation,[status(thm),theory(equality)],[c_17420,c_23385]) ).
tff(c_34883,plain,
! [D_339,D_340,D_341,D_342] : ( multiply(double_divide(D_339,double_divide(multiply(D_340,D_339),multiply(double_divide(D_340,D_341),D_341))),D_342) = D_342 ),
inference(superposition,[status(thm),theory(equality)],[c_33731,c_23609]) ).
tff(c_35209,plain,
! [D_99,D_100,D_340,D_341] : ( multiply(double_divide(D_99,double_divide(D_100,D_99)),double_divide(multiply(double_divide(D_340,D_341),D_341),D_340)) = D_100 ),
inference(superposition,[status(thm),theory(equality)],[c_34883,c_3095]) ).
tff(c_20171,plain,
! [D_255,D_256,D_254,D_130] : ( double_divide(double_divide(D_255,multiply(double_divide(D_255,D_256),D_256)),D_254) = double_divide(D_130,double_divide(inverse(D_254),D_130)) ),
inference(superposition,[status(thm),theory(equality)],[c_19994,c_6271]) ).
tff(c_2335,plain,
! [D_88,C_87,C_48,D_85] : ( multiply(double_divide(D_88,double_divide(C_87,D_88)),C_48) = multiply(double_divide(D_85,double_divide(C_87,D_85)),C_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_644,c_2235]) ).
tff(c_35718,plain,
! [D_85,D_340,D_341,C_48] : ( multiply(double_divide(D_85,double_divide(multiply(D_340,multiply(double_divide(D_340,D_341),D_341)),D_85)),C_48) = C_48 ),
inference(superposition,[status(thm),theory(equality)],[c_2335,c_34883]) ).
tff(c_1455,plain,
! [C_3,A_67,D_70,C_71] : ( double_divide(C_3,double_divide(inverse(A_67),multiply(double_divide(D_70,double_divide(C_3,D_70)),multiply(C_71,A_67)))) = C_71 ),
inference(demodulation,[status(thm),theory(equality)],[c_343,c_1384]) ).
tff(c_37894,plain,
! [D_354,D_355,D_356,C_357] : ( multiply(double_divide(D_354,double_divide(multiply(D_355,multiply(double_divide(D_355,D_356),D_356)),D_354)),C_357) = C_357 ),
inference(superposition,[status(thm),theory(equality)],[c_2335,c_34883]) ).
tff(c_38762,plain,
! [D_70,C_357,D_355,A_67,C_71,D_356] : ( multiply(double_divide(double_divide(inverse(A_67),multiply(double_divide(D_70,double_divide(multiply(D_355,multiply(double_divide(D_355,D_356),D_356)),D_70)),multiply(C_71,A_67))),C_71),C_357) = C_357 ),
inference(superposition,[status(thm),theory(equality)],[c_1455,c_37894]) ).
tff(c_38831,plain,
! [A_358,C_359,C_360] : ( multiply(double_divide(double_divide(inverse(A_358),multiply(C_359,A_358)),C_359),C_360) = C_360 ),
inference(demodulation,[status(thm),theory(equality)],[c_35718,c_38762]) ).
tff(c_39203,plain,
! [D_130,D_256,C_360] : ( multiply(double_divide(D_130,double_divide(inverse(double_divide(inverse(D_256),D_256)),D_130)),C_360) = C_360 ),
inference(superposition,[status(thm),theory(equality)],[c_20171,c_38831]) ).
tff(c_40787,plain,
! [D_368,D_369,C_370] : ( multiply(double_divide(D_368,double_divide(multiply(D_369,inverse(D_369)),D_368)),C_370) = C_370 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_39203]) ).
tff(c_41649,plain,
! [D_371,D_372,D_373] : ( multiply(D_371,inverse(D_371)) = double_divide(multiply(double_divide(D_372,D_373),D_373),D_372) ),
inference(superposition,[status(thm),theory(equality)],[c_40787,c_35209]) ).
tff(c_42290,plain,
! [D_372,B_2,C_3,D_4,D_373] : ( double_divide(inverse(inverse(double_divide(B_2,C_3))),multiply(double_divide(D_4,double_divide(B_2,D_4)),double_divide(multiply(double_divide(D_372,D_373),D_373),D_372))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_41649,c_7]) ).
tff(c_42603,plain,
! [C_3,B_2] : ( double_divide(inverse(multiply(C_3,B_2)),B_2) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_35209,c_4,c_42290]) ).
tff(c_19948,plain,
! [D_250,D_232,D_253] : ( double_divide(inverse(D_250),double_divide(D_232,multiply(double_divide(D_232,D_253),D_253))) = D_250 ),
inference(demodulation,[status(thm),theory(equality)],[c_17420,c_19677]) ).
tff(c_28894,plain,
! [D_319,D_320,D_321,D_322] : ( double_divide(double_divide(D_319,multiply(double_divide(D_319,D_320),D_320)),D_321) = double_divide(D_322,double_divide(inverse(D_321),D_322)) ),
inference(superposition,[status(thm),theory(equality)],[c_19994,c_6271]) ).
tff(c_30199,plain,
! [D_321,D_319,D_320,D_322] : ( multiply(D_321,double_divide(D_319,multiply(double_divide(D_319,D_320),D_320))) = inverse(double_divide(D_322,double_divide(inverse(D_321),D_322))) ),
inference(superposition,[status(thm),theory(equality)],[c_28894,c_4]) ).
tff(c_42615,plain,
! [C_374,B_375] : ( double_divide(inverse(multiply(C_374,B_375)),B_375) = C_374 ),
inference(demodulation,[status(thm),theory(equality)],[c_35209,c_4,c_42290]) ).
tff(c_43119,plain,
! [D_322,D_321,D_319,D_320] : ( double_divide(inverse(inverse(double_divide(D_322,double_divide(inverse(D_321),D_322)))),double_divide(D_319,multiply(double_divide(D_319,D_320),D_320))) = D_321 ),
inference(superposition,[status(thm),theory(equality)],[c_30199,c_42615]) ).
tff(c_43267,plain,
! [D_321,D_322] : ( multiply(double_divide(inverse(D_321),D_322),D_322) = D_321 ),
inference(demodulation,[status(thm),theory(equality)],[c_19948,c_4,c_43119]) ).
tff(c_42183,plain,
! [D_70,D_372,C_3,D_373,D_371] : ( double_divide(C_3,double_divide(inverse(inverse(D_371)),multiply(double_divide(D_70,double_divide(C_3,D_70)),double_divide(multiply(double_divide(D_372,D_373),D_373),D_372)))) = D_371 ),
inference(superposition,[status(thm),theory(equality)],[c_41649,c_1455]) ).
tff(c_45574,plain,
! [C_384,D_385] : ( double_divide(C_384,double_divide(inverse(inverse(D_385)),C_384)) = D_385 ),
inference(demodulation,[status(thm),theory(equality)],[c_35209,c_42183]) ).
tff(c_24559,plain,
! [D_289,D_290,D_291,D_4] : ( multiply(double_divide(D_289,D_290),D_290) = double_divide(inverse(D_291),multiply(double_divide(D_4,double_divide(D_289,D_4)),D_291)) ),
inference(superposition,[status(thm),theory(equality)],[c_24338,c_7]) ).
tff(c_45645,plain,
! [D_385,D_290,D_291] : ( multiply(double_divide(inverse(inverse(D_385)),D_290),D_290) = double_divide(inverse(D_291),multiply(D_385,D_291)) ),
inference(superposition,[status(thm),theory(equality)],[c_45574,c_24559]) ).
tff(c_46514,plain,
! [D_386,D_387] : ( double_divide(inverse(D_386),multiply(D_387,D_386)) = inverse(D_387) ),
inference(demodulation,[status(thm),theory(equality)],[c_43267,c_45645]) ).
tff(c_47212,plain,
! [D_388,D_389] : ( multiply(inverse(D_388),multiply(D_388,D_389)) = D_389 ),
inference(superposition,[status(thm),theory(equality)],[c_46514,c_43267]) ).
tff(c_46459,plain,
! [D_291,D_385] : ( double_divide(inverse(D_291),multiply(D_385,D_291)) = inverse(D_385) ),
inference(demodulation,[status(thm),theory(equality)],[c_43267,c_45645]) ).
tff(c_47221,plain,
! [D_388,D_389] : ( double_divide(inverse(multiply(D_388,D_389)),D_389) = inverse(inverse(D_388)) ),
inference(superposition,[status(thm),theory(equality)],[c_47212,c_46459]) ).
tff(c_47535,plain,
! [D_388] : ( inverse(inverse(D_388)) = D_388 ),
inference(demodulation,[status(thm),theory(equality)],[c_42603,c_47221]) ).
tff(c_43276,plain,
! [D_376,D_377] : ( multiply(double_divide(inverse(D_376),D_377),D_377) = D_376 ),
inference(demodulation,[status(thm),theory(equality)],[c_19948,c_4,c_43119]) ).
tff(c_20408,plain,
! [D_254,D_88,D_85,C_87] : ( double_divide(inverse(D_254),double_divide(D_88,multiply(double_divide(D_85,double_divide(C_87,D_85)),double_divide(C_87,D_88)))) = D_254 ),
inference(superposition,[status(thm),theory(equality)],[c_2335,c_19994]) ).
tff(c_55328,plain,
! [D_482,D_483] : ( double_divide(inverse(D_482),double_divide(inverse(D_483),D_483)) = D_482 ),
inference(superposition,[status(thm),theory(equality)],[c_43276,c_20408]) ).
tff(c_55458,plain,
! [D_482,A_5,B_6] : ( double_divide(inverse(D_482),double_divide(multiply(A_5,B_6),double_divide(B_6,A_5))) = D_482 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_55328]) ).
tff(c_49168,plain,
! [D_398] : ( inverse(inverse(D_398)) = D_398 ),
inference(demodulation,[status(thm),theory(equality)],[c_42603,c_47221]) ).
tff(c_49384,plain,
! [A_5,B_6] : ( inverse(multiply(A_5,B_6)) = double_divide(B_6,A_5) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49168]) ).
tff(c_42595,plain,
! [C_3,D_371] : ( double_divide(C_3,double_divide(inverse(inverse(D_371)),C_3)) = D_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_35209,c_42183]) ).
tff(c_49163,plain,
! [C_3,D_371] : ( double_divide(C_3,double_divide(D_371,C_3)) = D_371 ),
inference(demodulation,[status(thm),theory(equality)],[c_47535,c_42595]) ).
tff(c_364,plain,
! [B_2,C_3,A_1,D_4,D_34,B_35] : ( multiply(double_divide(D_4,double_divide(B_2,D_4)),multiply(double_divide(B_2,C_3),A_1)) = multiply(double_divide(D_34,double_divide(B_35,D_34)),multiply(double_divide(B_35,C_3),A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_35,c_245]) ).
tff(c_24710,plain,
! [A_293,B_296,D_295,A_294,D_292,D_297,C_298] : ( double_divide(inverse(multiply(double_divide(B_296,C_298),A_294)),multiply(double_divide(D_295,double_divide(D_292,D_295)),double_divide(inverse(A_293),multiply(double_divide(D_297,double_divide(inverse(A_294),D_297)),multiply(C_298,A_293))))) = double_divide(B_296,D_292) ),
inference(superposition,[status(thm),theory(equality)],[c_245,c_7]) ).
tff(c_25462,plain,
! [B_296,D_295,C_3,A_1,A_294,D_34,B_35,D_292] : ( double_divide(inverse(multiply(double_divide(B_296,double_divide(inverse(A_294),C_3)),A_294)),multiply(double_divide(D_295,double_divide(D_292,D_295)),double_divide(inverse(A_1),multiply(double_divide(D_34,double_divide(B_35,D_34)),multiply(double_divide(B_35,C_3),A_1))))) = double_divide(B_296,D_292) ),
inference(superposition,[status(thm),theory(equality)],[c_364,c_24710]) ).
tff(c_25681,plain,
! [B_296,D_295,C_3,A_294,D_292] : ( double_divide(inverse(multiply(double_divide(B_296,double_divide(inverse(A_294),C_3)),A_294)),multiply(double_divide(D_295,double_divide(D_292,D_295)),C_3)) = double_divide(B_296,D_292) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_25462]) ).
tff(c_143865,plain,
! [A_881,B_882,C_883,D_884] : ( double_divide(double_divide(A_881,double_divide(B_882,double_divide(inverse(A_881),C_883))),multiply(D_884,C_883)) = double_divide(B_882,D_884) ),
inference(demodulation,[status(thm),theory(equality)],[c_49384,c_49163,c_25681]) ).
tff(c_144299,plain,
! [A_5,D_482,D_884] : ( double_divide(multiply(A_5,inverse(inverse(D_482))),D_884) = double_divide(D_482,multiply(D_884,A_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_55458,c_143865]) ).
tff(c_289440,plain,
! [A_1189,D_1190,D_1191] : ( double_divide(multiply(A_1189,D_1190),D_1191) = double_divide(D_1190,multiply(D_1191,A_1189)) ),
inference(demodulation,[status(thm),theory(equality)],[c_47535,c_144299]) ).
tff(c_290634,plain,
! [D_1192,D_1193,A_1194] : ( inverse(double_divide(D_1192,multiply(D_1193,A_1194))) = multiply(D_1193,multiply(A_1194,D_1192)) ),
inference(superposition,[status(thm),theory(equality)],[c_289440,c_4]) ).
tff(c_291539,plain,
! [D_1193,A_1194,B_6] : ( multiply(multiply(D_1193,A_1194),B_6) = multiply(D_1193,multiply(A_1194,B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_290634]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_291750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291539,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15 % Problem : GRP501-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 22:37:30 EDT 2023
% 0.16/0.37 % CPUTime :
% 105.67/65.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.67/65.41
% 105.67/65.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 105.67/65.46
% 105.67/65.46 Inference rules
% 105.67/65.46 ----------------------
% 105.67/65.46 #Ref : 0
% 105.67/65.46 #Sup : 76549
% 105.67/65.46 #Fact : 0
% 105.67/65.46 #Define : 0
% 105.67/65.46 #Split : 0
% 105.67/65.46 #Chain : 0
% 105.67/65.46 #Close : 0
% 105.67/65.46
% 105.67/65.46 Ordering : KBO
% 105.67/65.46
% 105.67/65.46 Simplification rules
% 105.67/65.46 ----------------------
% 105.67/65.46 #Subsume : 9021
% 105.67/65.46 #Demod : 118123
% 105.67/65.46 #Tautology : 14772
% 105.67/65.46 #SimpNegUnit : 0
% 105.67/65.46 #BackRed : 169
% 105.67/65.46
% 105.67/65.46 #Partial instantiations: 0
% 105.67/65.46 #Strategies tried : 1
% 105.67/65.46
% 105.67/65.46 Timing (in seconds)
% 105.67/65.46 ----------------------
% 105.67/65.46 Preprocessing : 0.38
% 105.67/65.46 Parsing : 0.20
% 105.67/65.46 CNF conversion : 0.02
% 105.67/65.46 Main loop : 63.96
% 105.67/65.46 Inferencing : 10.49
% 105.67/65.46 Reduction : 40.95
% 105.67/65.46 Demodulation : 39.04
% 105.67/65.46 BG Simplification : 1.53
% 105.67/65.46 Subsumption : 6.36
% 105.67/65.46 Abstraction : 3.04
% 105.67/65.46 MUC search : 0.00
% 105.67/65.46 Cooper : 0.00
% 105.67/65.46 Total : 64.41
% 105.67/65.46 Index Insertion : 0.00
% 105.67/65.46 Index Deletion : 0.00
% 105.67/65.46 Index Matching : 0.00
% 105.67/65.46 BG Taut test : 0.00
%------------------------------------------------------------------------------