TSTP Solution File: GRP447-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP447-1 : 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 : 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 10:41:16 EDT 2023
% Result : Unsatisfiable 12.91s 4.65s
% Output : CNFRefutation 13.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 57 unt; 6 typ; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 129 (; 129 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > 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(f_28,axiom,
! [A,B] : ( inverse(A) = divide(divide(B,B),A) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,B,C] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B ),
file(unknown,unknown) ).
tff(f_30,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_6,plain,
! [B_8,A_7] : ( divide(divide(B_8,B_8),A_7) = inverse(A_7) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
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_26]) ).
tff(c_9,plain,
! [A_4,B_5] : ( divide(A_4,inverse(B_5)) = multiply(A_4,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(A_1,divide(divide(divide(divide(A_1,A_1),B_2),C_3),divide(divide(divide(A_1,A_1),A_1),C_3))) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_282,plain,
! [A_27,B_28,C_29] : ( divide(A_27,divide(divide(inverse(B_28),C_29),divide(inverse(A_27),C_29))) = B_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_370,plain,
! [A_27,B_28] : ( divide(A_27,inverse(divide(inverse(A_27),inverse(B_28)))) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_282]) ).
tff(c_389,plain,
! [A_30,B_31] : ( multiply(A_30,multiply(inverse(A_30),B_31)) = B_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_9,c_370]) ).
tff(c_387,plain,
! [A_27,B_28] : ( multiply(A_27,multiply(inverse(A_27),B_28)) = B_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_9,c_370]) ).
tff(c_654,plain,
! [A_38,B_39] : ( multiply(inverse(inverse(A_38)),B_39) = multiply(A_38,B_39) ),
inference(superposition,[status(thm),theory(equality)],[c_389,c_387]) ).
tff(c_666,plain,
! [A_38,B_39] : ( multiply(inverse(A_38),multiply(A_38,B_39)) = B_39 ),
inference(superposition,[status(thm),theory(equality)],[c_654,c_387]) ).
tff(c_11,plain,
! [B_9,A_10] : ( divide(divide(B_9,B_9),A_10) = inverse(A_10) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_22,plain,
! [B_8,A_10] : ( divide(inverse(divide(B_8,B_8)),A_10) = inverse(A_10) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_11]) ).
tff(c_374,plain,
! [B_28,C_29,B_8] : ( inverse(divide(divide(inverse(B_28),C_29),divide(inverse(divide(B_8,B_8)),C_29))) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_282]) ).
tff(c_491,plain,
! [B_33,C_34] : ( inverse(multiply(divide(inverse(B_33),C_34),C_34)) = B_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_22,c_374]) ).
tff(c_866,plain,
! [A_44,B_45] : ( inverse(multiply(inverse(A_44),A_44)) = divide(B_45,B_45) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_491]) ).
tff(c_547,plain,
! [A_10,B_8] : ( inverse(multiply(inverse(A_10),A_10)) = divide(B_8,B_8) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_491]) ).
tff(c_1037,plain,
! [B_47,B_46] : ( divide(B_47,B_47) = divide(B_46,B_46) ),
inference(superposition,[status(thm),theory(equality)],[c_866,c_547]) ).
tff(c_1428,plain,
! [B_50,B_51] : ( multiply(inverse(B_50),B_50) = divide(B_51,B_51) ),
inference(superposition,[status(thm),theory(equality)],[c_1037,c_9]) ).
tff(c_1476,plain,
! [B_50,B_51] : ( multiply(B_50,divide(B_51,B_51)) = B_50 ),
inference(superposition,[status(thm),theory(equality)],[c_1428,c_387]) ).
tff(c_1835,plain,
! [B_54,B_55] : ( multiply(B_54,divide(B_55,B_55)) = B_54 ),
inference(superposition,[status(thm),theory(equality)],[c_1428,c_387]) ).
tff(c_393,plain,
! [A_27,B_31] : ( multiply(inverse(inverse(A_27)),B_31) = multiply(A_27,B_31) ),
inference(superposition,[status(thm),theory(equality)],[c_389,c_387]) ).
tff(c_1857,plain,
! [A_27,B_55] : ( multiply(A_27,divide(B_55,B_55)) = inverse(inverse(A_27)) ),
inference(superposition,[status(thm),theory(equality)],[c_1835,c_393]) ).
tff(c_1964,plain,
! [A_27] : ( inverse(inverse(A_27)) = A_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_1476,c_1857]) ).
tff(c_1984,plain,
! [A_56] : ( inverse(inverse(A_56)) = A_56 ),
inference(demodulation,[status(thm),theory(equality)],[c_1476,c_1857]) ).
tff(c_2026,plain,
! [A_4,A_56] : ( multiply(A_4,inverse(A_56)) = divide(A_4,A_56) ),
inference(superposition,[status(thm),theory(equality)],[c_1984,c_9]) ).
tff(c_366,plain,
! [A_27,B_28,B_5] : ( divide(A_27,divide(divide(inverse(B_28),inverse(B_5)),multiply(inverse(A_27),B_5))) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_9,c_282]) ).
tff(c_386,plain,
! [A_27,B_28,B_5] : ( divide(A_27,divide(multiply(inverse(B_28),B_5),multiply(inverse(A_27),B_5))) = B_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_366]) ).
tff(c_1057,plain,
! [B_28,B_47] : ( divide(B_28,divide(B_47,B_47)) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_1037,c_386]) ).
tff(c_1469,plain,
! [B_50,B_28,B_51] : ( divide(B_50,divide(multiply(inverse(B_28),B_50),divide(B_51,B_51))) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_1428,c_386]) ).
tff(c_3278,plain,
! [B_73,B_74] : ( divide(B_73,multiply(inverse(B_74),B_73)) = B_74 ),
inference(demodulation,[status(thm),theory(equality)],[c_1057,c_1469]) ).
tff(c_3393,plain,
! [A_75,B_76] : ( divide(multiply(A_75,B_76),B_76) = A_75 ),
inference(superposition,[status(thm),theory(equality)],[c_666,c_3278]) ).
tff(c_3422,plain,
! [A_75,B_5] : ( multiply(multiply(A_75,inverse(B_5)),B_5) = A_75 ),
inference(superposition,[status(thm),theory(equality)],[c_3393,c_9]) ).
tff(c_5620,plain,
! [A_75,B_5] : ( multiply(divide(A_75,B_5),B_5) = A_75 ),
inference(demodulation,[status(thm),theory(equality)],[c_2026,c_3422]) ).
tff(c_559,plain,
! [A_35,B_36,B_37] : ( divide(A_35,divide(multiply(inverse(B_36),B_37),multiply(inverse(A_35),B_37))) = B_36 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_366]) ).
tff(c_617,plain,
! [A_35,B_36,B_28] : ( divide(A_35,divide(multiply(inverse(B_36),multiply(inverse(inverse(A_35)),B_28)),B_28)) = B_36 ),
inference(superposition,[status(thm),theory(equality)],[c_387,c_559]) ).
tff(c_10952,plain,
! [A_35,B_36,B_28] : ( divide(A_35,divide(multiply(inverse(B_36),multiply(A_35,B_28)),B_28)) = B_36 ),
inference(demodulation,[status(thm),theory(equality)],[c_1964,c_617]) ).
tff(c_10,plain,
! [A_1,B_2,C_3] : ( divide(A_1,divide(divide(inverse(B_2),C_3),divide(inverse(A_1),C_3))) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_534,plain,
! [B_2,C_3,B_33] : ( inverse(multiply(B_2,divide(divide(inverse(B_2),C_3),divide(inverse(inverse(B_33)),C_3)))) = B_33 ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_491]) ).
tff(c_11269,plain,
! [B_146,C_147,B_148] : ( inverse(multiply(B_146,divide(divide(inverse(B_146),C_147),divide(B_148,C_147)))) = B_148 ),
inference(demodulation,[status(thm),theory(equality)],[c_1964,c_534]) ).
tff(c_11437,plain,
! [B_36,B_146,B_28] : ( multiply(inverse(B_36),multiply(divide(inverse(B_146),B_28),B_28)) = inverse(multiply(B_146,B_36)) ),
inference(superposition,[status(thm),theory(equality)],[c_10952,c_11269]) ).
tff(c_11702,plain,
! [B_36,B_146] : ( divide(inverse(B_36),B_146) = inverse(multiply(B_146,B_36)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2026,c_5620,c_11437]) ).
tff(c_509,plain,
! [B_33,C_34,B_2,C_3] : ( divide(multiply(divide(inverse(B_33),C_34),C_34),divide(divide(inverse(B_2),C_3),divide(B_33,C_3))) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_491,c_10]) ).
tff(c_13166,plain,
! [B_160,C_161,B_162] : ( multiply(inverse(B_160),multiply(divide(B_160,C_161),multiply(C_161,B_162))) = B_162 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_11702,c_11702,c_5620,c_509]) ).
tff(c_28,plain,
! [A_11,B_12] : ( divide(A_11,inverse(B_12)) = multiply(A_11,B_12) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_35,plain,
! [B_12,A_7] : ( divide(multiply(inverse(B_12),B_12),A_7) = inverse(A_7) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_4075,plain,
! [A_85,B_86] : ( divide(A_85,inverse(multiply(inverse(A_85),B_86))) = B_86 ),
inference(superposition,[status(thm),theory(equality)],[c_35,c_559]) ).
tff(c_4149,plain,
! [A_27,B_86] : ( divide(inverse(A_27),inverse(multiply(A_27,B_86))) = B_86 ),
inference(superposition,[status(thm),theory(equality)],[c_1964,c_4075]) ).
tff(c_13196,plain,
! [B_160,C_161,B_162] : ( multiply(divide(B_160,C_161),multiply(C_161,B_162)) = divide(inverse(inverse(B_160)),inverse(B_162)) ),
inference(superposition,[status(thm),theory(equality)],[c_13166,c_4149]) ).
tff(c_26858,plain,
! [B_242,C_243,B_244] : ( multiply(divide(B_242,C_243),multiply(C_243,B_244)) = multiply(B_242,B_244) ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_1964,c_13196]) ).
tff(c_27096,plain,
! [B_242,A_38,B_39] : ( multiply(divide(B_242,inverse(A_38)),B_39) = multiply(B_242,multiply(A_38,B_39)) ),
inference(superposition,[status(thm),theory(equality)],[c_666,c_26858]) ).
tff(c_27164,plain,
! [B_242,A_38,B_39] : ( multiply(multiply(B_242,A_38),B_39) = multiply(B_242,multiply(A_38,B_39)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_27096]) ).
tff(c_8,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_27940,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27164,c_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP447-1 : 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
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:37:14 EDT 2023
% 0.15/0.36 % CPUTime :
% 12.91/4.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.91/4.66
% 12.91/4.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.05/4.70
% 13.05/4.70 Inference rules
% 13.05/4.70 ----------------------
% 13.05/4.70 #Ref : 0
% 13.05/4.70 #Sup : 7093
% 13.05/4.70 #Fact : 0
% 13.05/4.70 #Define : 0
% 13.05/4.70 #Split : 0
% 13.05/4.70 #Chain : 0
% 13.05/4.70 #Close : 0
% 13.05/4.70
% 13.05/4.70 Ordering : KBO
% 13.05/4.70
% 13.05/4.70 Simplification rules
% 13.05/4.70 ----------------------
% 13.05/4.70 #Subsume : 2099
% 13.05/4.70 #Demod : 10784
% 13.05/4.70 #Tautology : 3205
% 13.05/4.70 #SimpNegUnit : 0
% 13.05/4.70 #BackRed : 43
% 13.05/4.70
% 13.05/4.70 #Partial instantiations: 0
% 13.05/4.70 #Strategies tried : 1
% 13.05/4.70
% 13.05/4.70 Timing (in seconds)
% 13.05/4.70 ----------------------
% 13.05/4.71 Preprocessing : 0.42
% 13.05/4.71 Parsing : 0.22
% 13.05/4.71 CNF conversion : 0.02
% 13.05/4.71 Main loop : 3.20
% 13.05/4.71 Inferencing : 0.82
% 13.05/4.71 Reduction : 1.57
% 13.05/4.71 Demodulation : 1.40
% 13.05/4.71 BG Simplification : 0.09
% 13.05/4.71 Subsumption : 0.45
% 13.05/4.71 Abstraction : 0.18
% 13.05/4.71 MUC search : 0.00
% 13.05/4.71 Cooper : 0.00
% 13.05/4.71 Total : 3.69
% 13.05/4.71 Index Insertion : 0.00
% 13.05/4.71 Index Deletion : 0.00
% 13.05/4.71 Index Matching : 0.00
% 13.05/4.71 BG Taut test : 0.00
%------------------------------------------------------------------------------