TSTP Solution File: GRP559-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP559-1 : 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 : n024.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 10:41:31 EDT 2023
% Result : Unsatisfiable 19.88s 8.87s
% Output : CNFRefutation 20.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 36 unt; 6 typ; 0 def)
% Number of atoms : 36 ( 35 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 : 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 79 (; 79 !; 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_23,axiom,
! [A,B,C] : ( divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = divide(A,inverse(B)) ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_16,plain,
! [A_8,B_9,C_10] : ( divide(A_8,inverse(divide(divide(B_9,C_10),divide(A_8,C_10)))) = B_9 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_4,plain,
! [A_4,B_5] : ( divide(A_4,inverse(B_5)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_28,plain,
! [A_8,B_9,C_10] : ( multiply(A_8,divide(divide(B_9,C_10),divide(A_8,C_10))) = B_9 ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_4]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(A_1,inverse(divide(divide(B_2,C_3),divide(A_1,C_3)))) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_22,plain,
! [A_8,B_2,B_9,C_10] : ( divide(A_8,inverse(divide(divide(B_2,inverse(divide(divide(B_9,C_10),divide(A_8,C_10)))),B_9))) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_2]) ).
tff(c_112,plain,
! [A_17,B_18,B_19,C_20] : ( multiply(A_17,divide(multiply(B_18,divide(divide(B_19,C_20),divide(A_17,C_20))),B_19)) = B_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_22]) ).
tff(c_127,plain,
! [A_8,B_9] : ( multiply(A_8,divide(B_9,B_9)) = A_8 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_112]) ).
tff(c_150,plain,
! [A_21,B_22] : ( multiply(A_21,divide(B_22,B_22)) = A_21 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_112]) ).
tff(c_49,plain,
! [A_8,B_2,B_9,C_10] : ( multiply(A_8,divide(multiply(B_2,divide(divide(B_9,C_10),divide(A_8,C_10))),B_9)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_22]) ).
tff(c_195,plain,
! [B_23,A_24] : ( multiply(B_23,divide(A_24,B_23)) = A_24 ),
inference(superposition,[status(thm),theory(equality)],[c_150,c_49]) ).
tff(c_315,plain,
! [B_31,A_32] : ( multiply(inverse(B_31),multiply(A_32,B_31)) = A_32 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_195]) ).
tff(c_353,plain,
! [B_9,A_8] : ( multiply(inverse(divide(B_9,B_9)),A_8) = A_8 ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_315]) ).
tff(c_503,plain,
! [B_39,A_40] : ( multiply(inverse(divide(B_39,B_39)),A_40) = A_40 ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_315]) ).
tff(c_40,plain,
! [A_8,A_4,B_5] : ( divide(A_8,inverse(divide(multiply(A_4,B_5),divide(A_8,inverse(B_5))))) = A_4 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16]) ).
tff(c_54,plain,
! [A_8,A_4,B_5] : ( multiply(A_8,divide(multiply(A_4,B_5),multiply(A_8,B_5))) = A_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_40]) ).
tff(c_571,plain,
! [A_4,B_5,B_39] : ( divide(multiply(A_4,B_5),multiply(inverse(divide(B_39,B_39)),B_5)) = A_4 ),
inference(superposition,[status(thm),theory(equality)],[c_503,c_54]) ).
tff(c_639,plain,
! [A_41,B_42] : ( divide(multiply(A_41,B_42),B_42) = A_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_353,c_571]) ).
tff(c_157,plain,
! [B_9,A_21] : ( multiply(B_9,divide(A_21,B_9)) = A_21 ),
inference(superposition,[status(thm),theory(equality)],[c_150,c_49]) ).
tff(c_654,plain,
! [B_42,A_41] : ( multiply(B_42,A_41) = multiply(A_41,B_42) ),
inference(superposition,[status(thm),theory(equality)],[c_639,c_157]) ).
tff(c_350,plain,
! [A_21,B_9] : ( multiply(inverse(divide(A_21,B_9)),A_21) = B_9 ),
inference(superposition,[status(thm),theory(equality)],[c_157,c_315]) ).
tff(c_2820,plain,
! [A_76,B_77] : ( inverse(divide(A_76,B_77)) = divide(B_77,A_76) ),
inference(superposition,[status(thm),theory(equality)],[c_350,c_639]) ).
tff(c_2888,plain,
! [B_5,A_4] : ( divide(inverse(B_5),A_4) = inverse(multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2820]) ).
tff(c_233,plain,
! [B_5,A_4] : ( multiply(inverse(B_5),multiply(A_4,B_5)) = A_4 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_195]) ).
tff(c_694,plain,
! [A_4,B_5] : ( divide(A_4,multiply(A_4,B_5)) = inverse(B_5) ),
inference(superposition,[status(thm),theory(equality)],[c_233,c_639]) ).
tff(c_688,plain,
! [A_21,B_9] : ( inverse(divide(A_21,B_9)) = divide(B_9,A_21) ),
inference(superposition,[status(thm),theory(equality)],[c_350,c_639]) ).
tff(c_669,plain,
! [A_1,A_41,B_42] : ( divide(A_1,inverse(divide(A_41,divide(A_1,B_42)))) = multiply(A_41,B_42) ),
inference(superposition,[status(thm),theory(equality)],[c_639,c_2]) ).
tff(c_15081,plain,
! [A_198,B_199,A_200] : ( divide(A_198,divide(divide(A_198,B_199),A_200)) = multiply(A_200,B_199) ),
inference(demodulation,[status(thm),theory(equality)],[c_688,c_669]) ).
tff(c_15306,plain,
! [A_4,B_5,A_200] : ( divide(A_4,divide(inverse(B_5),A_200)) = multiply(A_200,multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_694,c_15081]) ).
tff(c_15401,plain,
! [A_4,A_200,B_5] : ( multiply(A_4,multiply(A_200,B_5)) = multiply(A_200,multiply(A_4,B_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2888,c_15306]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_725,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_654,c_6]) ).
tff(c_56019,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_15401,c_725]) ).
tff(c_56022,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_654,c_56019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP559-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % 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 : n024.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 22:15:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 19.88/8.87 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.88/8.88
% 19.88/8.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.02/8.94
% 20.02/8.94 Inference rules
% 20.02/8.94 ----------------------
% 20.02/8.94 #Ref : 0
% 20.02/8.94 #Sup : 14003
% 20.02/8.94 #Fact : 0
% 20.02/8.94 #Define : 0
% 20.02/8.94 #Split : 0
% 20.02/8.94 #Chain : 0
% 20.02/8.94 #Close : 0
% 20.02/8.94
% 20.02/8.94 Ordering : KBO
% 20.02/8.94
% 20.02/8.94 Simplification rules
% 20.02/8.94 ----------------------
% 20.02/8.94 #Subsume : 916
% 20.02/8.94 #Demod : 28130
% 20.02/8.94 #Tautology : 5329
% 20.02/8.94 #SimpNegUnit : 0
% 20.02/8.94 #BackRed : 61
% 20.02/8.94
% 20.02/8.94 #Partial instantiations: 0
% 20.02/8.94 #Strategies tried : 1
% 20.02/8.94
% 20.02/8.94 Timing (in seconds)
% 20.02/8.94 ----------------------
% 20.02/8.94 Preprocessing : 0.37
% 20.02/8.95 Parsing : 0.20
% 20.02/8.95 CNF conversion : 0.02
% 20.02/8.95 Main loop : 7.46
% 20.02/8.95 Inferencing : 1.55
% 20.02/8.95 Reduction : 4.64
% 20.02/8.95 Demodulation : 4.34
% 20.02/8.95 BG Simplification : 0.22
% 20.02/8.95 Subsumption : 0.70
% 20.02/8.95 Abstraction : 0.39
% 20.02/8.95 MUC search : 0.00
% 20.02/8.95 Cooper : 0.00
% 20.02/8.95 Total : 7.92
% 20.02/8.95 Index Insertion : 0.00
% 20.02/8.95 Index Deletion : 0.00
% 20.02/8.95 Index Matching : 0.00
% 20.02/8.95 BG Taut test : 0.00
%------------------------------------------------------------------------------