%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP547-1 : TPTP v9.0.0. 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 : n026.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 : Wed Apr 9 06:26:29 PM UTC 2025
% Result : Unsatisfiable 15.43s 6.07s
% Output : CNFRefutation 15.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 66 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 124 ( 124 !; 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_27,axiom,
! [A] : ( inverse(A) = divide(identity,A) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = divide(A,divide(identity,B)) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = divide(A,A) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( divide(divide(identity,divide(A,B)),divide(divide(B,C),A)) = C ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_6,plain,
! [A_6] : ( divide(identity,A_6) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
! [A_4,B_5] : ( divide(A_4,divide(identity,B_5)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_11,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_42,plain,
! [A_10,B_11] : ( divide(A_10,inverse(B_11)) = multiply(A_10,B_11) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_49,plain,
! [B_11] : ( inverse(inverse(B_11)) = multiply(identity,B_11) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_6]) ).
tff(c_8,plain,
! [A_7] : ( divide(A_7,A_7) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_20,plain,
! [A_9] : ( divide(identity,A_9) = inverse(A_9) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_27,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20,c_8]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(divide(identity,divide(A_1,B_2)),divide(divide(B_2,C_3),A_1)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_183,plain,
! [A_17,B_18,C_19] : ( divide(inverse(divide(A_17,B_18)),divide(divide(B_18,C_19),A_17)) = C_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_220,plain,
! [A_7,C_19] : ( divide(inverse(identity),divide(divide(A_7,C_19),A_7)) = C_19 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_183]) ).
tff(c_237,plain,
! [A_20,C_21] : ( inverse(divide(divide(A_20,C_21),A_20)) = C_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_27,c_220]) ).
tff(c_277,plain,
! [A_7] : ( inverse(divide(identity,A_7)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_237]) ).
tff(c_281,plain,
! [A_7] : ( multiply(identity,A_7) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_277]) ).
tff(c_284,plain,
! [B_11] : ( inverse(inverse(B_11)) = B_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_281,c_49]) ).
tff(c_335,plain,
! [A_24] : ( inverse(divide(inverse(A_24),identity)) = A_24 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_237]) ).
tff(c_12,plain,
! [A_1,B_2,C_3] : ( divide(inverse(divide(A_1,B_2)),divide(divide(B_2,C_3),A_1)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_347,plain,
! [A_24,C_3] : ( divide(A_24,divide(divide(identity,C_3),inverse(A_24))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_335,c_12]) ).
tff(c_1351,plain,
! [A_50,C_51] : ( divide(A_50,multiply(inverse(C_51),A_50)) = C_51 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_6,c_347]) ).
tff(c_1423,plain,
! [A_50,B_11] : ( divide(A_50,multiply(B_11,A_50)) = inverse(B_11) ),
inference(superposition,[status(thm),theory(equality)],[c_284,c_1351]) ).
tff(c_305,plain,
! [B_23] : ( inverse(inverse(B_23)) = B_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_281,c_49]) ).
tff(c_317,plain,
! [A_4,B_23] : ( multiply(A_4,inverse(B_23)) = divide(A_4,B_23) ),
inference(superposition,[status(thm),theory(equality)],[c_305,c_11]) ).
tff(c_1864,plain,
! [A_60,A_61,B_62] : ( divide(inverse(divide(A_60,A_61)),divide(multiply(A_61,B_62),A_60)) = inverse(B_62) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_183]) ).
tff(c_223,plain,
! [A_17,A_7] : ( divide(inverse(divide(A_17,A_7)),divide(identity,A_17)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_183]) ).
tff(c_236,plain,
! [A_17,A_7] : ( multiply(inverse(divide(A_17,A_7)),A_17) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_6,c_223]) ).
tff(c_1888,plain,
! [B_62,A_60,A_61] : ( multiply(inverse(inverse(B_62)),inverse(divide(A_60,A_61))) = divide(multiply(A_61,B_62),A_60) ),
inference(superposition,[status(thm),theory(equality)],[c_1864,c_236]) ).
tff(c_19618,plain,
! [A_223,B_224,A_225] : ( divide(multiply(A_223,B_224),A_225) = divide(B_224,divide(A_225,A_223)) ),
inference(demodulation,[status(thm),theory(equality)],[c_317,c_284,c_1888]) ).
tff(c_235,plain,
! [A_7,C_19] : ( inverse(divide(divide(A_7,C_19),A_7)) = C_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_27,c_220]) ).
tff(c_519,plain,
! [A_28,A_29] : ( multiply(inverse(divide(A_28,A_29)),A_28) = A_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_6,c_223]) ).
tff(c_531,plain,
! [C_19,A_7] : ( multiply(C_19,divide(A_7,C_19)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_235,c_519]) ).
tff(c_23946,plain,
! [A_253,B_254,A_255] : ( multiply(A_253,divide(B_254,divide(A_253,A_255))) = multiply(A_255,B_254) ),
inference(superposition,[status(thm),theory(equality)],[c_19618,c_531]) ).
tff(c_24302,plain,
! [A_50,B_254,B_11] : ( multiply(A_50,divide(B_254,inverse(B_11))) = multiply(multiply(B_11,A_50),B_254) ),
inference(superposition,[status(thm),theory(equality)],[c_1423,c_23946]) ).
tff(c_24437,plain,
! [B_11,A_50,B_254] : ( multiply(multiply(B_11,A_50),B_254) = multiply(A_50,multiply(B_254,B_11)) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_24302]) ).
tff(c_274,plain,
! [A_6] : ( inverse(divide(inverse(A_6),identity)) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_237]) ).
tff(c_405,plain,
! [B_26] : ( inverse(divide(B_26,identity)) = inverse(B_26) ),
inference(superposition,[status(thm),theory(equality)],[c_284,c_335]) ).
tff(c_414,plain,
! [B_26] : ( inverse(divide(inverse(B_26),identity)) = divide(B_26,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_405,c_274]) ).
tff(c_453,plain,
! [B_26] : ( divide(B_26,identity) = B_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_274,c_414]) ).
tff(c_2001,plain,
! [A_6,B_62] : ( divide(inverse(inverse(A_6)),divide(multiply(A_6,B_62),identity)) = inverse(B_62) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1864]) ).
tff(c_2035,plain,
! [A_63,B_64] : ( divide(A_63,multiply(A_63,B_64)) = inverse(B_64) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_284,c_2001]) ).
tff(c_2317,plain,
! [A_67,C_68] : ( inverse(divide(A_67,C_68)) = divide(C_68,A_67) ),
inference(superposition,[status(thm),theory(equality)],[c_531,c_2035]) ).
tff(c_2395,plain,
! [B_5,A_4] : ( divide(inverse(B_5),A_4) = inverse(multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_2317]) ).
tff(c_2011,plain,
! [A_61,B_62,A_60] : ( divide(multiply(A_61,B_62),A_60) = divide(B_62,divide(A_60,A_61)) ),
inference(demodulation,[status(thm),theory(equality)],[c_317,c_284,c_1888]) ).
tff(c_2032,plain,
! [A_6,B_62] : ( divide(A_6,multiply(A_6,B_62)) = inverse(B_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_284,c_2001]) ).
tff(c_243,plain,
! [C_21,A_20,C_3] : ( divide(C_21,divide(divide(A_20,C_3),divide(A_20,C_21))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_237,c_12]) ).
tff(c_5577,plain,
! [C_112,A_113,C_114] : ( divide(C_112,divide(divide(A_113,C_114),divide(A_113,C_112))) = C_114 ),
inference(superposition,[status(thm),theory(equality)],[c_237,c_12]) ).
tff(c_20418,plain,
! [A_229,C_230,C_231] : ( divide(divide(A_229,divide(divide(A_229,C_230),C_231)),C_230) = C_231 ),
inference(superposition,[status(thm),theory(equality)],[c_243,c_5577]) ).
tff(c_20752,plain,
! [A_229,B_62,C_230] : ( divide(divide(A_229,inverse(B_62)),C_230) = multiply(divide(A_229,C_230),B_62) ),
inference(superposition,[status(thm),theory(equality)],[c_2032,c_20418]) ).
tff(c_32697,plain,
! [A_298,C_299,B_300] : ( multiply(divide(A_298,C_299),B_300) = divide(B_300,divide(C_299,A_298)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_11,c_20752]) ).
tff(c_33151,plain,
! [B_300,B_5,A_4] : ( divide(B_300,divide(inverse(B_5),A_4)) = multiply(multiply(A_4,B_5),B_300) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_32697]) ).
tff(c_33264,plain,
! [B_5,B_300,A_4] : ( multiply(B_5,multiply(B_300,A_4)) = multiply(B_300,multiply(A_4,B_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_24437,c_11,c_2395,c_33151]) ).
tff(c_942,plain,
! [A_42,B_43] : ( multiply(A_42,inverse(B_43)) = divide(A_42,B_43) ),
inference(superposition,[status(thm),theory(equality)],[c_305,c_11]) ).
tff(c_468,plain,
! [B_27] : ( divide(B_27,identity) = B_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_274,c_414]) ).
tff(c_488,plain,
! [B_2,C_3] : ( divide(inverse(divide(identity,B_2)),divide(B_2,C_3)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_468,c_12]) ).
tff(c_628,plain,
! [B_33,C_34] : ( divide(B_33,divide(B_33,C_34)) = C_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_284,c_6,c_488]) ).
tff(c_637,plain,
! [B_33,C_34] : ( multiply(divide(B_33,C_34),C_34) = B_33 ),
inference(superposition,[status(thm),theory(equality)],[c_628,c_531]) ).
tff(c_952,plain,
! [B_33,B_43] : ( divide(divide(B_33,inverse(B_43)),B_43) = B_33 ),
inference(superposition,[status(thm),theory(equality)],[c_942,c_637]) ).
tff(c_1013,plain,
! [B_44,B_45] : ( divide(multiply(B_44,B_45),B_45) = B_44 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_952]) ).
tff(c_1025,plain,
! [B_45,B_44] : ( multiply(B_45,B_44) = multiply(B_44,B_45) ),
inference(superposition,[status(thm),theory(equality)],[c_1013,c_531]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_1194,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_1025,c_10]) ).
tff(c_35123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33264,c_1194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP547-1 : TPTP v9.0.0. Released v2.6.0.
% 0.07/0.13 % 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
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 21:55:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 15.43/6.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.46/6.08
% 15.46/6.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------