TSTP Solution File: GRP598-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP598-1 : 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 : n020.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 10:41:36 EDT 2023
% Result : Unsatisfiable 6.19s 2.54s
% Output : CNFRefutation 6.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 41 unt; 5 typ; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 105 (; 105 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > b2 > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(a2,type,
a2: $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(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
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(double_divide(A_1,B_2),inverse(double_divide(A_1,inverse(double_divide(inverse(C_3),B_2))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_7,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,B_2),multiply(multiply(B_2,inverse(C_3)),A_1)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_17,plain,
! [A_8,B_9,C_10] : ( double_divide(double_divide(A_8,B_9),multiply(multiply(B_9,inverse(C_10)),A_8)) = C_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_277,plain,
! [C_32,B_33,A_34,C_35] : ( double_divide(C_32,multiply(multiply(multiply(multiply(B_33,inverse(C_32)),A_34),inverse(C_35)),double_divide(A_34,B_33))) = C_35 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_310,plain,
! [B_33,C_32,A_34,C_35] : ( multiply(multiply(multiply(multiply(multiply(B_33,inverse(C_32)),A_34),inverse(C_35)),double_divide(A_34,B_33)),C_32) = inverse(C_35) ),
inference(superposition,[status(thm),theory(equality)],[c_277,c_4]) ).
tff(c_574,plain,
! [B_48,C_49,A_50,C_51] : ( multiply(multiply(multiply(multiply(multiply(B_48,inverse(C_49)),A_50),inverse(C_51)),double_divide(A_50,B_48)),C_49) = inverse(C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_277,c_4]) ).
tff(c_665,plain,
! [C_35,A_34,B_33,C_51] : ( multiply(multiply(inverse(C_35),double_divide(double_divide(A_34,B_33),multiply(multiply(B_33,inverse(inverse(C_51))),A_34))),C_35) = inverse(C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_310,c_574]) ).
tff(c_779,plain,
! [C_54,C_55] : ( multiply(multiply(inverse(C_54),inverse(C_55)),C_54) = inverse(C_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_665]) ).
tff(c_887,plain,
! [C_56,C_57] : ( double_divide(double_divide(C_56,inverse(C_56)),inverse(C_57)) = C_57 ),
inference(superposition,[status(thm),theory(equality)],[c_779,c_7]) ).
tff(c_1597,plain,
! [C_74,A_75,B_76] : ( double_divide(double_divide(C_74,inverse(C_74)),multiply(A_75,B_76)) = double_divide(B_76,A_75) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_887]) ).
tff(c_20,plain,
! [C_10,B_9,A_8,C_3] : ( double_divide(C_10,multiply(multiply(multiply(multiply(B_9,inverse(C_10)),A_8),inverse(C_3)),double_divide(A_8,B_9))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_617,plain,
! [C_51,A_50,B_48,C_3] : ( double_divide(C_51,multiply(inverse(C_51),double_divide(double_divide(A_50,B_48),multiply(multiply(B_48,inverse(inverse(C_3))),A_50)))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_574,c_20]) ).
tff(c_719,plain,
! [C_52,C_53] : ( double_divide(C_52,multiply(inverse(C_52),inverse(C_53))) = C_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_617]) ).
tff(c_773,plain,
! [B_5,A_4,C_53] : ( double_divide(double_divide(B_5,A_4),multiply(multiply(A_4,B_5),inverse(C_53))) = C_53 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_719]) ).
tff(c_1607,plain,
! [C_53,C_74] : ( double_divide(inverse(C_53),multiply(inverse(C_74),C_74)) = C_53 ),
inference(superposition,[status(thm),theory(equality)],[c_1597,c_773]) ).
tff(c_875,plain,
! [C_54,A_4,B_5] : ( multiply(multiply(inverse(C_54),multiply(A_4,B_5)),C_54) = inverse(double_divide(B_5,A_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_779]) ).
tff(c_989,plain,
! [C_60,A_61,B_62] : ( multiply(multiply(inverse(C_60),multiply(A_61,B_62)),C_60) = multiply(A_61,B_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_875]) ).
tff(c_95,plain,
! [A_17,B_18,A_19,B_20] : ( double_divide(double_divide(A_17,B_18),multiply(multiply(B_18,multiply(A_19,B_20)),A_17)) = double_divide(B_20,A_19) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_110,plain,
! [B_18,A_19,B_20,A_17] : ( multiply(multiply(multiply(B_18,multiply(A_19,B_20)),A_17),double_divide(A_17,B_18)) = inverse(double_divide(B_20,A_19)) ),
inference(superposition,[status(thm),theory(equality)],[c_95,c_4]) ).
tff(c_131,plain,
! [B_18,A_19,B_20,A_17] : ( multiply(multiply(multiply(B_18,multiply(A_19,B_20)),A_17),double_divide(A_17,B_18)) = multiply(A_19,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_110]) ).
tff(c_1409,plain,
! [A_71,B_72,C_73] : ( multiply(multiply(A_71,B_72),double_divide(C_73,inverse(C_73))) = multiply(A_71,B_72) ),
inference(superposition,[status(thm),theory(equality)],[c_989,c_131]) ).
tff(c_716,plain,
! [C_35,C_51] : ( multiply(multiply(inverse(C_35),inverse(C_51)),C_35) = inverse(C_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_665]) ).
tff(c_1432,plain,
! [C_73,C_51] : ( multiply(inverse(double_divide(C_73,inverse(C_73))),inverse(C_51)) = inverse(C_51) ),
inference(superposition,[status(thm),theory(equality)],[c_1409,c_716]) ).
tff(c_1838,plain,
! [C_79,C_80] : ( multiply(multiply(inverse(C_79),C_79),inverse(C_80)) = inverse(C_80) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1432]) ).
tff(c_38,plain,
! [B_11,C_12,A_13] : ( multiply(multiply(multiply(B_11,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_49,plain,
! [C_3,B_11,C_12] : ( double_divide(double_divide(double_divide(inverse(C_3),B_11),multiply(B_11,inverse(C_12))),inverse(C_12)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_7]) ).
tff(c_1921,plain,
! [C_3,C_79,C_80] : ( double_divide(double_divide(double_divide(inverse(C_3),multiply(inverse(C_79),C_79)),inverse(C_80)),inverse(C_80)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_1838,c_49]) ).
tff(c_2101,plain,
! [C_85,C_86] : ( double_divide(double_divide(C_85,inverse(C_86)),inverse(C_86)) = C_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_1607,c_1921]) ).
tff(c_1222,plain,
! [B_66,A_67,C_68] : ( double_divide(double_divide(B_66,A_67),multiply(multiply(A_67,B_66),inverse(C_68))) = C_68 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_719]) ).
tff(c_1282,plain,
! [C_51,C_68] : ( double_divide(double_divide(inverse(C_51),inverse(inverse(C_68))),inverse(C_51)) = C_68 ),
inference(superposition,[status(thm),theory(equality)],[c_716,c_1222]) ).
tff(c_2111,plain,
! [C_68] : ( inverse(inverse(C_68)) = C_68 ),
inference(superposition,[status(thm),theory(equality)],[c_2101,c_1282]) ).
tff(c_2181,plain,
! [C_87] : ( inverse(inverse(C_87)) = C_87 ),
inference(superposition,[status(thm),theory(equality)],[c_2101,c_1282]) ).
tff(c_1566,plain,
! [C_73,C_51] : ( multiply(multiply(inverse(C_73),C_73),inverse(C_51)) = inverse(C_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1432]) ).
tff(c_2211,plain,
! [C_73,C_87] : ( multiply(multiply(inverse(C_73),C_73),C_87) = inverse(inverse(C_87)) ),
inference(superposition,[status(thm),theory(equality)],[c_2181,c_1566]) ).
tff(c_2326,plain,
! [C_73,C_87] : ( multiply(multiply(inverse(C_73),C_73),C_87) = C_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_2111,c_2211]) ).
tff(c_6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4422,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2326,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP598-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % 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
% 0.19/0.36 % Computer : n020.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Thu Aug 3 22:22:22 EDT 2023
% 0.19/0.37 % CPUTime :
% 6.19/2.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.19/2.55
% 6.19/2.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.46/2.59
% 6.46/2.59 Inference rules
% 6.46/2.59 ----------------------
% 6.46/2.59 #Ref : 0
% 6.46/2.59 #Sup : 1169
% 6.46/2.59 #Fact : 0
% 6.46/2.59 #Define : 0
% 6.46/2.59 #Split : 0
% 6.46/2.59 #Chain : 0
% 6.46/2.59 #Close : 0
% 6.46/2.59
% 6.46/2.59 Ordering : KBO
% 6.46/2.59
% 6.46/2.59 Simplification rules
% 6.46/2.59 ----------------------
% 6.46/2.59 #Subsume : 3
% 6.46/2.59 #Demod : 688
% 6.46/2.59 #Tautology : 420
% 6.46/2.59 #SimpNegUnit : 0
% 6.46/2.59 #BackRed : 2
% 6.46/2.59
% 6.46/2.59 #Partial instantiations: 0
% 6.46/2.59 #Strategies tried : 1
% 6.46/2.59
% 6.46/2.59 Timing (in seconds)
% 6.46/2.59 ----------------------
% 6.46/2.59 Preprocessing : 0.38
% 6.46/2.59 Parsing : 0.20
% 6.46/2.59 CNF conversion : 0.02
% 6.46/2.59 Main loop : 1.09
% 6.46/2.59 Inferencing : 0.44
% 6.46/2.59 Reduction : 0.36
% 6.46/2.59 Demodulation : 0.29
% 6.46/2.59 BG Simplification : 0.06
% 6.46/2.59 Subsumption : 0.17
% 6.46/2.59 Abstraction : 0.08
% 6.46/2.59 MUC search : 0.00
% 6.46/2.59 Cooper : 0.00
% 6.46/2.59 Total : 1.53
% 6.46/2.59 Index Insertion : 0.00
% 6.46/2.59 Index Deletion : 0.00
% 6.46/2.59 Index Matching : 0.00
% 6.46/2.59 BG Taut test : 0.00
%------------------------------------------------------------------------------