TSTP Solution File: GRP535-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP535-1 : 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 : n028.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 10:41:28 EDT 2023
% Result : Unsatisfiable 30.42s 20.25s
% Output : CNFRefutation 30.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 66 unt; 7 typ; 0 def)
% Number of atoms : 66 ( 65 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 : 6 ( 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 : 150 (; 150 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > identity > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(identity,type,
identity: $i ).
tff(f_29,axiom,
! [A] : ( identity = divide(A,A) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A,B] : ( inverse(A) = divide(divide(B,B),A) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B,C] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( divide(divide(A,divide(divide(A,B),C)),B) = C ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_8,plain,
! [A_9] : ( divide(A_9,A_9) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_6,plain,
! [B_8,A_7] : ( divide(divide(B_8,B_8),A_7) = inverse(A_7) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_11,plain,
! [A_7] : ( divide(identity,A_7) = inverse(A_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_4,plain,
! [A_4,C_6,B_5] : ( divide(A_4,divide(divide(C_6,C_6),B_5)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_12,plain,
! [A_4,B_5] : ( divide(A_4,inverse(B_5)) = multiply(A_4,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_8,c_4]) ).
tff(c_70,plain,
! [A_14,B_15,C_16] : ( divide(divide(A_14,divide(divide(A_14,B_15),C_16)),B_15) = C_16 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_113,plain,
! [A_9,C_16] : ( divide(divide(A_9,divide(identity,C_16)),A_9) = C_16 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_70]) ).
tff(c_124,plain,
! [A_9,C_16] : ( divide(multiply(A_9,C_16),A_9) = C_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_11,c_113]) ).
tff(c_42,plain,
! [A_12,B_13] : ( divide(A_12,inverse(B_13)) = multiply(A_12,B_13) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_8,c_4]) ).
tff(c_53,plain,
! [B_13] : ( multiply(inverse(B_13),B_13) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_8]) ).
tff(c_166,plain,
! [A_19,C_20] : ( divide(multiply(A_19,C_20),A_19) = C_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_11,c_113]) ).
tff(c_193,plain,
! [B_21] : ( divide(identity,inverse(B_21)) = B_21 ),
inference(superposition,[status(thm),theory(equality)],[c_53,c_166]) ).
tff(c_228,plain,
! [B_22] : ( multiply(identity,B_22) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_193,c_12]) ).
tff(c_234,plain,
! [B_22] : ( divide(B_22,identity) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_228,c_124]) ).
tff(c_407,plain,
! [B_27] : ( divide(B_27,identity) = B_27 ),
inference(superposition,[status(thm),theory(equality)],[c_228,c_124]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(divide(A_1,divide(divide(A_1,B_2),C_3)),B_2) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_425,plain,
! [A_1,C_3] : ( divide(A_1,divide(divide(A_1,identity),C_3)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_2]) ).
tff(c_586,plain,
! [A_32,C_33] : ( divide(A_32,divide(A_32,C_33)) = C_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_234,c_425]) ).
tff(c_625,plain,
! [A_9,C_16] : ( divide(multiply(A_9,C_16),C_16) = A_9 ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_586]) ).
tff(c_199,plain,
! [B_21,C_3] : ( divide(divide(identity,divide(B_21,C_3)),inverse(B_21)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_193,c_2]) ).
tff(c_762,plain,
! [B_38,C_39] : ( multiply(inverse(divide(B_38,C_39)),B_38) = C_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_11,c_199]) ).
tff(c_189,plain,
! [B_5,C_20] : ( multiply(multiply(inverse(B_5),C_20),B_5) = C_20 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_166]) ).
tff(c_824,plain,
! [C_40,B_41] : ( multiply(C_40,divide(B_41,C_40)) = B_41 ),
inference(superposition,[status(thm),theory(equality)],[c_762,c_189]) ).
tff(c_847,plain,
! [C_16,A_9] : ( multiply(C_16,A_9) = multiply(A_9,C_16) ),
inference(superposition,[status(thm),theory(equality)],[c_625,c_824]) ).
tff(c_185,plain,
! [B_13] : ( divide(identity,inverse(B_13)) = B_13 ),
inference(superposition,[status(thm),theory(equality)],[c_53,c_166]) ).
tff(c_1288,plain,
! [A_50,C_51,B_52] : ( divide(divide(A_50,C_51),divide(divide(A_50,B_52),C_51)) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_70,c_2]) ).
tff(c_1396,plain,
! [C_51,B_13] : ( divide(divide(identity,C_51),divide(B_13,C_51)) = inverse(B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_185,c_1288]) ).
tff(c_5890,plain,
! [C_114,B_115] : ( divide(inverse(C_114),divide(B_115,C_114)) = inverse(B_115) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_1396]) ).
tff(c_6067,plain,
! [A_9,C_16] : ( divide(inverse(A_9),C_16) = inverse(multiply(A_9,C_16)) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_5890]) ).
tff(c_803,plain,
! [C_16,A_9] : ( multiply(inverse(C_16),multiply(A_9,C_16)) = A_9 ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_762]) ).
tff(c_76,plain,
! [A_14,C_16,B_15] : ( divide(divide(A_14,C_16),divide(divide(A_14,B_15),C_16)) = B_15 ),
inference(superposition,[status(thm),theory(equality)],[c_70,c_2]) ).
tff(c_83,plain,
! [A_14,B_5,C_16] : ( multiply(divide(A_14,divide(divide(A_14,inverse(B_5)),C_16)),B_5) = C_16 ),
inference(superposition,[status(thm),theory(equality)],[c_70,c_12]) ).
tff(c_119,plain,
! [A_14,B_5,C_16] : ( multiply(divide(A_14,divide(multiply(A_14,B_5),C_16)),B_5) = C_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_83]) ).
tff(c_2126,plain,
! [A_65,B_66,C_67] : ( multiply(divide(A_65,divide(multiply(A_65,B_66),C_67)),B_66) = C_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_83]) ).
tff(c_26882,plain,
! [A_253,B_254,C_255,C_256] : ( multiply(divide(divide(A_253,divide(multiply(A_253,B_254),C_255)),divide(C_255,C_256)),B_254) = C_256 ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_2126]) ).
tff(c_32818,plain,
! [A_283,B_284,B_285] : ( divide(multiply(A_283,B_284),divide(A_283,B_285)) = multiply(B_285,B_284) ),
inference(superposition,[status(thm),theory(equality)],[c_76,c_26882]) ).
tff(c_33307,plain,
! [A_9,C_16,B_285] : ( divide(A_9,divide(inverse(C_16),B_285)) = multiply(B_285,multiply(A_9,C_16)) ),
inference(superposition,[status(thm),theory(equality)],[c_803,c_32818]) ).
tff(c_33434,plain,
! [B_285,A_9,C_16] : ( multiply(B_285,multiply(A_9,C_16)) = multiply(A_9,multiply(C_16,B_285)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6067,c_33307]) ).
tff(c_4043,plain,
! [A_94,B_95,C_96,C_97] : ( divide(divide(divide(A_94,divide(divide(A_94,B_95),C_96)),divide(C_96,C_97)),B_95) = C_97 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_70]) ).
tff(c_4228,plain,
! [A_14,B_95,B_15] : ( divide(divide(A_14,B_95),divide(A_14,B_15)) = divide(B_15,B_95) ),
inference(superposition,[status(thm),theory(equality)],[c_76,c_4043]) ).
tff(c_3616,plain,
! [A_88,B_89,B_90] : ( divide(divide(A_88,multiply(divide(A_88,B_89),B_90)),B_89) = inverse(B_90) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_70]) ).
tff(c_3670,plain,
! [A_88,B_90,B_89] : ( divide(divide(A_88,inverse(B_90)),multiply(divide(A_88,B_89),B_90)) = B_89 ),
inference(superposition,[status(thm),theory(equality)],[c_3616,c_2]) ).
tff(c_3797,plain,
! [A_88,B_90,B_89] : ( divide(multiply(A_88,B_90),multiply(divide(A_88,B_89),B_90)) = B_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_3670]) ).
tff(c_11498,plain,
! [C_163,A_164,B_165] : ( divide(C_163,divide(divide(multiply(A_164,C_163),B_165),A_164)) = B_165 ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_1288]) ).
tff(c_11676,plain,
! [A_88,B_89,B_90] : ( multiply(divide(A_88,B_89),B_90) = divide(B_90,divide(B_89,A_88)) ),
inference(superposition,[status(thm),theory(equality)],[c_3797,c_11498]) ).
tff(c_3289,plain,
! [A_83,C_84,C_85] : ( divide(divide(multiply(A_83,C_84),divide(C_84,C_85)),A_83) = C_85 ),
inference(superposition,[status(thm),theory(equality)],[c_166,c_2]) ).
tff(c_3340,plain,
! [A_83,C_84,C_85] : ( divide(divide(multiply(A_83,C_84),C_85),divide(C_84,C_85)) = A_83 ),
inference(superposition,[status(thm),theory(equality)],[c_3289,c_2]) ).
tff(c_40114,plain,
! [A_317,B_318,B_319] : ( divide(multiply(A_317,B_318),divide(B_318,divide(B_319,A_317))) = B_319 ),
inference(demodulation,[status(thm),theory(equality)],[c_11676,c_3797]) ).
tff(c_40639,plain,
! [C_84,C_85,B_318,A_83] : ( divide(multiply(divide(C_84,C_85),B_318),divide(B_318,A_83)) = divide(multiply(A_83,C_84),C_85) ),
inference(superposition,[status(thm),theory(equality)],[c_3340,c_40114]) ).
tff(c_40861,plain,
! [A_83,C_84,C_85] : ( divide(multiply(A_83,C_84),C_85) = divide(A_83,divide(C_85,C_84)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4228,c_11676,c_40639]) ).
tff(c_20959,plain,
! [A_224,C_225,C_226,B_227] : ( divide(divide(divide(A_224,C_225),C_226),divide(B_227,C_226)) = divide(divide(A_224,B_227),C_225) ),
inference(superposition,[status(thm),theory(equality)],[c_1288,c_76]) ).
tff(c_22200,plain,
! [A_230,C_231,A_232] : ( divide(divide(divide(A_230,C_231),A_232),identity) = divide(divide(A_230,A_232),C_231) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_20959]) ).
tff(c_22650,plain,
! [A_4,B_5,A_232] : ( divide(divide(multiply(A_4,B_5),A_232),identity) = divide(divide(A_4,A_232),inverse(B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_22200]) ).
tff(c_22791,plain,
! [A_4,A_232,B_5] : ( multiply(divide(A_4,A_232),B_5) = divide(multiply(A_4,B_5),A_232) ),
inference(demodulation,[status(thm),theory(equality)],[c_234,c_12,c_22650]) ).
tff(c_53932,plain,
! [B_374,A_375,A_376] : ( divide(B_374,divide(A_375,A_376)) = divide(A_376,divide(A_375,B_374)) ),
inference(demodulation,[status(thm),theory(equality)],[c_40861,c_11676,c_22791]) ).
tff(c_55077,plain,
! [C_16,A_9,B_374] : ( divide(C_16,divide(inverse(A_9),B_374)) = divide(B_374,inverse(multiply(A_9,C_16))) ),
inference(superposition,[status(thm),theory(equality)],[c_6067,c_53932]) ).
tff(c_55479,plain,
! [C_16,A_9,B_374] : ( multiply(C_16,multiply(A_9,B_374)) = multiply(B_374,multiply(A_9,C_16)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6067,c_12,c_55077]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_955,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_847,c_10]) ).
tff(c_78688,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_55479,c_955]) ).
tff(c_116901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_847,c_33434,c_78688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:28:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 30.42/20.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.45/20.26
% 30.45/20.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 30.45/20.30
% 30.45/20.30 Inference rules
% 30.45/20.30 ----------------------
% 30.45/20.30 #Ref : 0
% 30.45/20.30 #Sup : 29860
% 30.45/20.30 #Fact : 0
% 30.45/20.30 #Define : 0
% 30.45/20.30 #Split : 0
% 30.45/20.30 #Chain : 0
% 30.45/20.30 #Close : 0
% 30.45/20.30
% 30.45/20.30 Ordering : KBO
% 30.45/20.30
% 30.45/20.30 Simplification rules
% 30.45/20.30 ----------------------
% 30.45/20.30 #Subsume : 2384
% 30.45/20.30 #Demod : 65009
% 30.45/20.30 #Tautology : 11811
% 30.45/20.30 #SimpNegUnit : 0
% 30.45/20.30 #BackRed : 73
% 30.45/20.30
% 30.45/20.30 #Partial instantiations: 0
% 30.45/20.30 #Strategies tried : 1
% 30.45/20.30
% 30.45/20.30 Timing (in seconds)
% 30.45/20.30 ----------------------
% 30.45/20.30 Preprocessing : 0.42
% 30.45/20.30 Parsing : 0.22
% 30.45/20.30 CNF conversion : 0.02
% 30.45/20.30 Main loop : 18.84
% 30.45/20.30 Inferencing : 2.27
% 30.45/20.30 Reduction : 13.31
% 30.45/20.30 Demodulation : 12.74
% 30.45/20.30 BG Simplification : 0.32
% 30.45/20.30 Subsumption : 1.69
% 30.45/20.30 Abstraction : 0.66
% 30.45/20.30 MUC search : 0.00
% 30.45/20.30 Cooper : 0.00
% 30.45/20.30 Total : 19.32
% 30.45/20.30 Index Insertion : 0.00
% 30.45/20.31 Index Deletion : 0.00
% 30.45/20.31 Index Matching : 0.00
% 30.45/20.31 BG Taut test : 0.00
%------------------------------------------------------------------------------