TSTP Solution File: GRP563-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP563-1 : 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 : n010.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 33.49s 19.45s
% Output : CNFRefutation 33.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 39 unt; 6 typ; 0 def)
% Number of atoms : 39 ( 38 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 : 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 : 92 (; 92 !; 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_25,axiom,
! [A,B] : ( multiply(A,B) = divide(A,inverse(B)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
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_2,plain,
! [A_1,B_2,C_3] : ( divide(divide(divide(A_1,inverse(B_2)),C_3),divide(A_1,C_3)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_7,plain,
! [A_1,B_2,C_3] : ( divide(divide(multiply(A_1,B_2),C_3),divide(A_1,C_3)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_17,plain,
! [A_8,B_9,C_10] : ( divide(divide(multiply(A_8,B_9),C_10),divide(A_8,C_10)) = B_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_57,plain,
! [A_14,B_15,C_16,B_17] : ( divide(divide(multiply(divide(multiply(A_14,B_15),C_16),B_17),divide(A_14,C_16)),B_15) = B_17 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_148,plain,
! [A_25,B_26,C_27,B_28] : ( multiply(divide(multiply(divide(multiply(A_25,inverse(B_26)),C_27),B_28),divide(A_25,C_27)),B_26) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_57]) ).
tff(c_20,plain,
! [A_8,B_9,C_10,B_2] : ( divide(divide(multiply(divide(multiply(A_8,B_9),C_10),B_2),divide(A_8,C_10)),B_9) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_180,plain,
! [B_28,A_25,B_26,C_27] : ( divide(divide(B_28,divide(divide(multiply(A_25,inverse(B_26)),C_27),divide(A_25,C_27))),B_28) = B_26 ),
inference(superposition,[status(thm),theory(equality)],[c_148,c_20]) ).
tff(c_233,plain,
! [B_28,B_26] : ( divide(multiply(B_28,B_26),B_28) = B_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_7,c_180]) ).
tff(c_238,plain,
! [B_29,B_30] : ( divide(multiply(B_29,B_30),B_29) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_7,c_180]) ).
tff(c_684,plain,
! [B_43,B_44] : ( multiply(multiply(inverse(B_43),B_44),B_43) = B_44 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_238]) ).
tff(c_1151,plain,
! [B_51,B_52] : ( divide(B_51,multiply(inverse(B_52),B_51)) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_684,c_233]) ).
tff(c_36,plain,
! [A_4,B_9,B_5] : ( divide(divide(multiply(A_4,B_9),inverse(B_5)),multiply(A_4,B_5)) = B_9 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_41,plain,
! [A_11,B_12,B_13] : ( divide(multiply(multiply(A_11,B_12),B_13),multiply(A_11,B_13)) = B_12 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36]) ).
tff(c_47,plain,
! [B_12,A_11,B_13] : ( divide(B_12,divide(multiply(A_11,B_12),multiply(A_11,B_13))) = B_13 ),
inference(superposition,[status(thm),theory(equality)],[c_41,c_7]) ).
tff(c_1176,plain,
! [B_52,B_12] : ( multiply(inverse(B_52),B_12) = divide(B_12,B_52) ),
inference(superposition,[status(thm),theory(equality)],[c_1151,c_47]) ).
tff(c_282,plain,
! [B_5,B_30] : ( multiply(multiply(inverse(B_5),B_30),B_5) = B_30 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_238]) ).
tff(c_1374,plain,
! [B_57,B_58] : ( multiply(divide(B_57,B_58),B_58) = B_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_1176,c_282]) ).
tff(c_1472,plain,
! [B_28,B_26] : ( multiply(B_28,B_26) = multiply(B_26,B_28) ),
inference(superposition,[status(thm),theory(equality)],[c_233,c_1374]) ).
tff(c_101,plain,
! [B_18,A_19,B_20] : ( divide(B_18,divide(multiply(A_19,B_18),multiply(A_19,B_20))) = B_20 ),
inference(superposition,[status(thm),theory(equality)],[c_41,c_7]) ).
tff(c_6581,plain,
! [B_123,A_124,A_125,B_126] : ( divide(B_123,divide(A_124,divide(multiply(A_125,multiply(A_124,B_126)),multiply(A_125,B_123)))) = B_126 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_7]) ).
tff(c_287,plain,
! [B_31,B_32] : ( divide(B_31,divide(B_32,B_32)) = B_31 ),
inference(superposition,[status(thm),theory(equality)],[c_238,c_7]) ).
tff(c_298,plain,
! [B_32,B_26] : ( multiply(divide(B_32,B_32),B_26) = B_26 ),
inference(superposition,[status(thm),theory(equality)],[c_287,c_233]) ).
tff(c_396,plain,
! [B_33,B_34] : ( multiply(divide(B_33,B_33),B_34) = B_34 ),
inference(superposition,[status(thm),theory(equality)],[c_287,c_233]) ).
tff(c_422,plain,
! [B_34,B_33,B_13] : ( divide(B_34,divide(B_34,multiply(divide(B_33,B_33),B_13))) = B_13 ),
inference(superposition,[status(thm),theory(equality)],[c_396,c_47]) ).
tff(c_457,plain,
! [B_34,B_13] : ( divide(B_34,divide(B_34,B_13)) = B_13 ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_422]) ).
tff(c_67858,plain,
! [A_457,A_458,B_459] : ( divide(multiply(A_457,multiply(A_458,B_459)),multiply(A_457,A_458)) = B_459 ),
inference(superposition,[status(thm),theory(equality)],[c_6581,c_457]) ).
tff(c_1302,plain,
! [B_30,B_5] : ( multiply(divide(B_30,B_5),B_5) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_1176,c_282]) ).
tff(c_67924,plain,
! [B_459,A_457,A_458] : ( multiply(B_459,multiply(A_457,A_458)) = multiply(A_457,multiply(A_458,B_459)) ),
inference(superposition,[status(thm),theory(equality)],[c_67858,c_1302]) ).
tff(c_40,plain,
! [A_4,B_9,B_5] : ( divide(multiply(multiply(A_4,B_9),B_5),multiply(A_4,B_5)) = B_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_36]) ).
tff(c_67055,plain,
! [A_451,B_452,B_453] : ( multiply(multiply(A_451,B_452),B_453) = multiply(B_452,multiply(A_451,B_453)) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_1374]) ).
tff(c_67199,plain,
! [B_453,A_451,B_452] : ( multiply(B_453,multiply(A_451,B_452)) = multiply(B_452,multiply(A_451,B_453)) ),
inference(superposition,[status(thm),theory(equality)],[c_67055,c_1472]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_1747,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_1472,c_6]) ).
tff(c_93586,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_67199,c_1747]) ).
tff(c_98084,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1472,c_67924,c_93586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP563-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.35 % Computer : n010.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 21:55:13 EDT 2023
% 0.13/0.36 % CPUTime :
% 33.49/19.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.49/19.46
% 33.49/19.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.49/19.49
% 33.49/19.49 Inference rules
% 33.49/19.49 ----------------------
% 33.49/19.49 #Ref : 0
% 33.49/19.49 #Sup : 24867
% 33.49/19.49 #Fact : 0
% 33.49/19.49 #Define : 0
% 33.49/19.49 #Split : 0
% 33.49/19.49 #Chain : 0
% 33.49/19.49 #Close : 0
% 33.49/19.49
% 33.49/19.49 Ordering : KBO
% 33.49/19.49
% 33.49/19.49 Simplification rules
% 33.49/19.49 ----------------------
% 33.49/19.49 #Subsume : 1432
% 33.49/19.49 #Demod : 49971
% 33.49/19.49 #Tautology : 6362
% 33.49/19.49 #SimpNegUnit : 0
% 33.49/19.49 #BackRed : 87
% 33.49/19.49
% 33.49/19.49 #Partial instantiations: 0
% 33.49/19.49 #Strategies tried : 1
% 33.49/19.49
% 33.49/19.49 Timing (in seconds)
% 33.49/19.49 ----------------------
% 33.49/19.50 Preprocessing : 0.39
% 33.49/19.50 Parsing : 0.21
% 33.49/19.50 CNF conversion : 0.02
% 33.49/19.50 Main loop : 18.01
% 33.49/19.50 Inferencing : 3.05
% 33.49/19.50 Reduction : 11.96
% 33.49/19.50 Demodulation : 11.32
% 33.49/19.50 BG Simplification : 0.54
% 33.49/19.50 Subsumption : 1.62
% 33.49/19.50 Abstraction : 1.00
% 33.49/19.50 MUC search : 0.00
% 33.49/19.50 Cooper : 0.00
% 33.49/19.50 Total : 18.45
% 33.49/19.50 Index Insertion : 0.00
% 33.49/19.50 Index Deletion : 0.00
% 33.49/19.50 Index Matching : 0.00
% 33.49/19.50 BG Taut test : 0.00
%------------------------------------------------------------------------------