TSTP Solution File: GRP591-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP591-1 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:41:35 EDT 2023
% Result : Unsatisfiable 85.38s 61.00s
% Output : CNFRefutation 85.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 9
% Syntax : Number of formulae : 73 ( 67 unt; 6 typ; 0 def)
% Number of atoms : 67 ( 66 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 : 7 ( 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 : 146 (; 146 !; 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] : ( double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = 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_5,A_4] : ( inverse(double_divide(B_5,A_4)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(inverse(double_divide(double_divide(A_1,B_2),inverse(double_divide(A_1,inverse(C_3))))),B_2) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [C_8,A_9,B_10] : ( double_divide(multiply(multiply(inverse(C_8),A_9),double_divide(A_9,B_10)),B_10) = C_8 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_38,plain,
! [B_11,C_12,A_13] : ( multiply(B_11,multiply(multiply(inverse(C_12),A_13),double_divide(A_13,B_11))) = inverse(C_12) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_62,plain,
! [B_11,A_4,B_5,A_13] : ( multiply(B_11,multiply(multiply(multiply(A_4,B_5),A_13),double_divide(A_13,B_11))) = inverse(double_divide(B_5,A_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38]) ).
tff(c_65,plain,
! [B_11,A_4,B_5,A_13] : ( multiply(B_11,multiply(multiply(multiply(A_4,B_5),A_13),double_divide(A_13,B_11))) = multiply(A_4,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_62]) ).
tff(c_26,plain,
! [B_10,C_8,A_9] : ( multiply(B_10,multiply(multiply(inverse(C_8),A_9),double_divide(A_9,B_10))) = inverse(C_8) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_7,plain,
! [C_3,A_1,B_2] : ( double_divide(multiply(multiply(inverse(C_3),A_1),double_divide(A_1,B_2)),B_2) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_102,plain,
! [C_18,C_19,A_20,B_21] : ( double_divide(multiply(multiply(inverse(C_18),multiply(multiply(inverse(C_19),A_20),double_divide(A_20,B_21))),C_19),B_21) = C_18 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_149,plain,
! [C_22,C_23] : ( double_divide(multiply(inverse(C_22),C_22),inverse(C_23)) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_102]) ).
tff(c_179,plain,
! [C_24,C_25] : ( multiply(inverse(C_24),multiply(inverse(C_25),C_25)) = inverse(C_24) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_4]) ).
tff(c_137,plain,
! [C_8,C_18] : ( double_divide(multiply(inverse(C_8),C_8),inverse(C_18)) = C_18 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_102]) ).
tff(c_220,plain,
! [C_26,C_27] : ( double_divide(inverse(multiply(inverse(C_26),C_26)),inverse(C_27)) = C_27 ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_137]) ).
tff(c_238,plain,
! [C_27,C_26] : ( multiply(inverse(C_27),inverse(multiply(inverse(C_26),C_26))) = inverse(C_27) ),
inference(superposition,[status(thm),theory(equality)],[c_220,c_4]) ).
tff(c_190,plain,
! [C_25,C_18] : ( double_divide(inverse(multiply(inverse(C_25),C_25)),inverse(C_18)) = C_18 ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_137]) ).
tff(c_167,plain,
! [C_23,C_22] : ( multiply(inverse(C_23),multiply(inverse(C_22),C_22)) = inverse(C_23) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_4]) ).
tff(c_348,plain,
! [C_32,A_33,B_34] : ( double_divide(multiply(inverse(C_32),C_32),multiply(A_33,B_34)) = double_divide(B_34,A_33) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_149]) ).
tff(c_363,plain,
! [C_3,C_32,B_34,A_33] : ( double_divide(multiply(multiply(inverse(C_3),multiply(inverse(C_32),C_32)),double_divide(B_34,A_33)),multiply(A_33,B_34)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_348,c_7]) ).
tff(c_479,plain,
! [C_38,B_39,A_40] : ( double_divide(multiply(inverse(C_38),double_divide(B_39,A_40)),multiply(A_40,B_39)) = C_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_167,c_363]) ).
tff(c_532,plain,
! [C_38,C_18,C_25] : ( double_divide(multiply(inverse(C_38),C_18),multiply(inverse(C_18),inverse(multiply(inverse(C_25),C_25)))) = C_38 ),
inference(superposition,[status(thm),theory(equality)],[c_190,c_479]) ).
tff(c_564,plain,
! [C_41,C_42] : ( double_divide(multiply(inverse(C_41),C_42),inverse(C_42)) = C_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_238,c_532]) ).
tff(c_621,plain,
! [C_43,C_44] : ( multiply(inverse(C_43),multiply(inverse(C_44),C_43)) = inverse(C_44) ),
inference(superposition,[status(thm),theory(equality)],[c_564,c_4]) ).
tff(c_559,plain,
! [C_38,C_18] : ( double_divide(multiply(inverse(C_38),C_18),inverse(C_18)) = C_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_238,c_532]) ).
tff(c_1126,plain,
! [C_55,C_56] : ( double_divide(inverse(C_55),inverse(multiply(inverse(C_55),C_56))) = C_56 ),
inference(superposition,[status(thm),theory(equality)],[c_621,c_559]) ).
tff(c_1150,plain,
! [C_25,C_56] : ( multiply(inverse(multiply(inverse(C_25),C_25)),C_56) = C_56 ),
inference(superposition,[status(thm),theory(equality)],[c_1126,c_190]) ).
tff(c_601,plain,
! [C_23,C_22] : ( double_divide(inverse(C_23),inverse(multiply(inverse(C_22),C_22))) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_167,c_564]) ).
tff(c_1223,plain,
! [C_57,C_58] : ( multiply(inverse(multiply(inverse(C_57),C_57)),C_58) = C_58 ),
inference(superposition,[status(thm),theory(equality)],[c_1126,c_190]) ).
tff(c_1396,plain,
! [C_59,C_60] : ( multiply(inverse(C_59),C_59) = double_divide(C_60,inverse(C_60)) ),
inference(superposition,[status(thm),theory(equality)],[c_1223,c_559]) ).
tff(c_1402,plain,
! [C_60,C_56] : ( multiply(inverse(double_divide(C_60,inverse(C_60))),C_56) = C_56 ),
inference(superposition,[status(thm),theory(equality)],[c_1396,c_1150]) ).
tff(c_1563,plain,
! [C_61,C_62] : ( multiply(multiply(inverse(C_61),C_61),C_62) = C_62 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1402]) ).
tff(c_1802,plain,
! [B_67,C_68] : ( multiply(B_67,double_divide(C_68,B_67)) = inverse(C_68) ),
inference(superposition,[status(thm),theory(equality)],[c_1563,c_26]) ).
tff(c_1915,plain,
! [C_22,C_23] : ( multiply(inverse(multiply(inverse(C_22),C_22)),C_23) = inverse(inverse(C_23)) ),
inference(superposition,[status(thm),theory(equality)],[c_601,c_1802]) ).
tff(c_1957,plain,
! [C_23] : ( inverse(inverse(C_23)) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_1150,c_1915]) ).
tff(c_1607,plain,
! [B_10,C_61] : ( multiply(B_10,double_divide(C_61,B_10)) = inverse(C_61) ),
inference(superposition,[status(thm),theory(equality)],[c_1563,c_26]) ).
tff(c_1961,plain,
! [C_69] : ( inverse(inverse(C_69)) = C_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_1150,c_1915]) ).
tff(c_630,plain,
! [C_44,C_43] : ( double_divide(inverse(C_44),inverse(multiply(inverse(C_44),C_43))) = C_43 ),
inference(superposition,[status(thm),theory(equality)],[c_621,c_559]) ).
tff(c_1985,plain,
! [C_69,C_43] : ( double_divide(C_69,inverse(multiply(inverse(inverse(C_69)),C_43))) = C_43 ),
inference(superposition,[status(thm),theory(equality)],[c_1961,c_630]) ).
tff(c_2256,plain,
! [C_74,C_75] : ( double_divide(C_74,inverse(multiply(C_74,C_75))) = C_75 ),
inference(demodulation,[status(thm),theory(equality)],[c_1957,c_1985]) ).
tff(c_2317,plain,
! [B_10,C_61] : ( double_divide(B_10,inverse(inverse(C_61))) = double_divide(C_61,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_1607,c_2256]) ).
tff(c_2387,plain,
! [C_76,B_77] : ( double_divide(C_76,B_77) = double_divide(B_77,C_76) ),
inference(demodulation,[status(thm),theory(equality)],[c_1957,c_2317]) ).
tff(c_3578,plain,
! [B_94,C_95] : ( inverse(double_divide(B_94,C_95)) = multiply(B_94,C_95) ),
inference(superposition,[status(thm),theory(equality)],[c_2387,c_4]) ).
tff(c_3662,plain,
! [B_10,B_94,C_95,A_9] : ( multiply(B_10,multiply(multiply(multiply(B_94,C_95),A_9),double_divide(A_9,B_10))) = inverse(double_divide(B_94,C_95)) ),
inference(superposition,[status(thm),theory(equality)],[c_3578,c_26]) ).
tff(c_3729,plain,
! [C_95,B_94] : ( multiply(C_95,B_94) = multiply(B_94,C_95) ),
inference(demodulation,[status(thm),theory(equality)],[c_65,c_4,c_3662]) ).
tff(c_1656,plain,
! [C_63,B_64] : ( double_divide(double_divide(C_63,B_64),B_64) = C_63 ),
inference(superposition,[status(thm),theory(equality)],[c_1563,c_7]) ).
tff(c_9199,plain,
! [C_159,C_160] : ( multiply(inverse(C_159),C_160) = double_divide(C_159,inverse(C_160)) ),
inference(superposition,[status(thm),theory(equality)],[c_559,c_1656]) ).
tff(c_11672,plain,
! [C_188,C_189] : ( double_divide(inverse(C_188),inverse(C_189)) = multiply(C_188,C_189) ),
inference(superposition,[status(thm),theory(equality)],[c_1957,c_9199]) ).
tff(c_23148,plain,
! [C_264,C_265] : ( multiply(C_264,inverse(C_265)) = double_divide(inverse(C_264),C_265) ),
inference(superposition,[status(thm),theory(equality)],[c_1957,c_11672]) ).
tff(c_23445,plain,
! [C_264,B_5,A_4] : ( double_divide(inverse(C_264),double_divide(B_5,A_4)) = multiply(C_264,multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_23148]) ).
tff(c_592,plain,
! [C_42,C_41] : ( multiply(inverse(C_42),multiply(inverse(C_41),C_42)) = inverse(C_41) ),
inference(superposition,[status(thm),theory(equality)],[c_564,c_4]) ).
tff(c_2006,plain,
! [C_42,C_69] : ( multiply(inverse(C_42),multiply(C_69,C_42)) = inverse(inverse(C_69)) ),
inference(superposition,[status(thm),theory(equality)],[c_1961,c_592]) ).
tff(c_3973,plain,
! [C_98,C_99] : ( multiply(inverse(C_98),multiply(C_99,C_98)) = C_99 ),
inference(demodulation,[status(thm),theory(equality)],[c_1957,c_2006]) ).
tff(c_169287,plain,
! [C_731,C_732,B_733] : ( double_divide(multiply(C_731,double_divide(multiply(C_731,C_732),B_733)),B_733) = C_732 ),
inference(superposition,[status(thm),theory(equality)],[c_3973,c_7]) ).
tff(c_1615,plain,
! [C_61,B_2] : ( double_divide(double_divide(C_61,B_2),B_2) = C_61 ),
inference(superposition,[status(thm),theory(equality)],[c_1563,c_7]) ).
tff(c_189220,plain,
! [C_767,C_768,B_769] : ( multiply(C_767,double_divide(multiply(C_767,C_768),B_769)) = double_divide(C_768,B_769) ),
inference(superposition,[status(thm),theory(equality)],[c_169287,c_1615]) ).
tff(c_14677,plain,
! [C_210,C_211] : ( double_divide(multiply(C_210,C_211),inverse(C_211)) = inverse(C_210) ),
inference(superposition,[status(thm),theory(equality)],[c_1961,c_559]) ).
tff(c_14866,plain,
! [C_61,B_10] : ( double_divide(inverse(C_61),inverse(double_divide(C_61,B_10))) = inverse(B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_1607,c_14677]) ).
tff(c_18968,plain,
! [C_241,B_242] : ( double_divide(inverse(C_241),multiply(B_242,C_241)) = inverse(B_242) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14866]) ).
tff(c_19043,plain,
! [B_242,C_241] : ( double_divide(inverse(B_242),multiply(B_242,C_241)) = inverse(C_241) ),
inference(superposition,[status(thm),theory(equality)],[c_18968,c_1615]) ).
tff(c_189841,plain,
! [C_767,C_768,B_769] : ( double_divide(inverse(C_767),double_divide(C_768,B_769)) = inverse(double_divide(multiply(C_767,C_768),B_769)) ),
inference(superposition,[status(thm),theory(equality)],[c_189220,c_19043]) ).
tff(c_190731,plain,
! [C_767,B_769,C_768] : ( multiply(C_767,multiply(B_769,C_768)) = multiply(B_769,multiply(C_767,C_768)) ),
inference(demodulation,[status(thm),theory(equality)],[c_23445,c_4,c_189841]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_3750,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_3729,c_6]) ).
tff(c_224562,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_190731,c_3750]) ).
tff(c_224572,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3729,c_224562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP591-1 : 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
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 22:21:33 EDT 2023
% 0.15/0.35 % CPUTime :
% 85.38/61.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.38/61.02
% 85.38/61.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 85.60/61.05
% 85.60/61.05 Inference rules
% 85.60/61.05 ----------------------
% 85.60/61.05 #Ref : 0
% 85.60/61.05 #Sup : 56227
% 85.60/61.05 #Fact : 0
% 85.60/61.05 #Define : 0
% 85.60/61.05 #Split : 0
% 85.60/61.05 #Chain : 0
% 85.60/61.05 #Close : 0
% 85.60/61.05
% 85.60/61.05 Ordering : KBO
% 85.60/61.05
% 85.60/61.05 Simplification rules
% 85.60/61.05 ----------------------
% 85.60/61.05 #Subsume : 7602
% 85.60/61.05 #Demod : 137779
% 85.60/61.05 #Tautology : 15446
% 85.60/61.05 #SimpNegUnit : 0
% 85.60/61.05 #BackRed : 52
% 85.60/61.05
% 85.60/61.05 #Partial instantiations: 0
% 85.60/61.05 #Strategies tried : 1
% 85.60/61.05
% 85.60/61.05 Timing (in seconds)
% 85.60/61.05 ----------------------
% 85.60/61.06 Preprocessing : 0.39
% 85.60/61.06 Parsing : 0.22
% 85.60/61.06 CNF conversion : 0.02
% 85.60/61.06 Main loop : 59.50
% 85.60/61.06 Inferencing : 6.26
% 85.60/61.06 Reduction : 44.49
% 85.60/61.06 Demodulation : 42.84
% 85.60/61.06 BG Simplification : 0.90
% 85.60/61.06 Subsumption : 5.91
% 85.60/61.06 Abstraction : 2.21
% 85.60/61.06 MUC search : 0.00
% 85.60/61.06 Cooper : 0.00
% 85.60/61.06 Total : 59.96
% 85.60/61.06 Index Insertion : 0.00
% 85.60/61.06 Index Deletion : 0.00
% 85.60/61.06 Index Matching : 0.00
% 85.60/61.06 BG Taut test : 0.00
%------------------------------------------------------------------------------