TSTP Solution File: GRP609-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP609-1 : 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 10:41:38 EDT 2023
% Result : Unsatisfiable 40.14s 27.02s
% Output : CNFRefutation 40.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 57 unt; 5 typ; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 125 (; 125 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > b1 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $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] : ( inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
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] : ( inverse(double_divide(inverse(double_divide(inverse(double_divide(A_1,B_2)),C_3)),double_divide(A_1,C_3))) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [A_8,C_9,B_10] : ( multiply(double_divide(A_8,C_9),multiply(C_9,multiply(B_10,A_8))) = B_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_7,plain,
! [A_1,C_3,B_2] : ( multiply(double_divide(A_1,C_3),multiply(C_3,multiply(B_2,A_1))) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_64,plain,
! [C_14,B_15,A_16,C_17] : ( multiply(double_divide(multiply(C_14,multiply(B_15,A_16)),C_17),multiply(C_17,B_15)) = double_divide(A_16,C_14) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_23,plain,
! [B_10,A_8,C_9] : ( multiply(double_divide(multiply(B_10,A_8),double_divide(A_8,C_9)),B_10) = C_9 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_83,plain,
! [A_16,B_15,C_9] : ( double_divide(A_16,multiply(double_divide(multiply(B_15,A_16),C_9),B_15)) = C_9 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_20,plain,
! [C_9,B_10,A_8,C_3] : ( multiply(double_divide(multiply(C_9,multiply(B_10,A_8)),C_3),multiply(C_3,B_10)) = double_divide(A_8,C_9) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_127,plain,
! [A_18,B_19,C_20] : ( double_divide(A_18,multiply(double_divide(multiply(B_19,A_18),C_20),B_19)) = C_20 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_175,plain,
! [B_21,A_22,C_23] : ( double_divide(multiply(B_21,A_22),double_divide(A_22,multiply(C_23,B_21))) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_296,plain,
! [A_27,C_28,B_29] : ( multiply(double_divide(A_27,multiply(C_28,B_29)),multiply(B_29,A_27)) = inverse(C_28) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_335,plain,
! [A_27,C_28,B_29] : ( multiply(double_divide(A_27,double_divide(A_27,multiply(C_28,B_29))),inverse(C_28)) = B_29 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_380,plain,
! [A_30,C_31,B_32] : ( multiply(double_divide(A_30,double_divide(A_30,multiply(C_31,B_32))),inverse(C_31)) = B_32 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_461,plain,
! [C_33,A_34,B_35] : ( double_divide(multiply(inverse(C_33),A_34),multiply(C_33,B_35)) = double_divide(A_34,B_35) ),
inference(superposition,[status(thm),theory(equality)],[c_380,c_83]) ).
tff(c_596,plain,
! [A_39,B_40,C_41] : ( double_divide(A_39,multiply(double_divide(A_39,B_40),inverse(C_41))) = multiply(C_41,B_40) ),
inference(superposition,[status(thm),theory(equality)],[c_461,c_83]) ).
tff(c_669,plain,
! [C_42,A_43,B_44] : ( multiply(C_42,double_divide(A_43,multiply(C_42,B_44))) = double_divide(A_43,B_44) ),
inference(superposition,[status(thm),theory(equality)],[c_335,c_596]) ).
tff(c_755,plain,
! [B_45,A_46,C_47] : ( multiply(double_divide(multiply(B_45,A_46),C_47),C_47) = double_divide(A_46,B_45) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_669]) ).
tff(c_197,plain,
! [A_22,C_23,B_21] : ( multiply(double_divide(A_22,multiply(C_23,B_21)),multiply(B_21,A_22)) = inverse(C_23) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_788,plain,
! [B_45,A_46] : ( inverse(multiply(B_45,A_46)) = double_divide(A_46,B_45) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_825,plain,
! [A_46,C_9] : ( double_divide(A_46,double_divide(A_46,C_9)) = C_9 ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_23]) ).
tff(c_1268,plain,
! [C_60,B_61] : ( multiply(multiply(C_60,B_61),inverse(C_60)) = B_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_15006,plain,
! [C_182,B_183] : ( double_divide(inverse(C_182),multiply(C_182,B_183)) = inverse(B_183) ),
inference(superposition,[status(thm),theory(equality)],[c_1268,c_788]) ).
tff(c_988,plain,
! [A_51,C_52] : ( double_divide(A_51,double_divide(A_51,C_52)) = C_52 ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_23]) ).
tff(c_1028,plain,
! [A_51,C_52] : ( multiply(double_divide(A_51,C_52),A_51) = inverse(C_52) ),
inference(superposition,[status(thm),theory(equality)],[c_988,c_4]) ).
tff(c_15093,plain,
! [B_183,C_182] : ( multiply(inverse(B_183),inverse(C_182)) = inverse(multiply(C_182,B_183)) ),
inference(superposition,[status(thm),theory(equality)],[c_15006,c_1028]) ).
tff(c_22300,plain,
! [B_222,C_223] : ( multiply(inverse(B_222),inverse(C_223)) = double_divide(B_222,C_223) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_15093]) ).
tff(c_161,plain,
! [B_10,A_8,C_3] : ( double_divide(multiply(B_10,A_8),double_divide(A_8,multiply(C_3,B_10))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_1058,plain,
! [B_53,A_54] : ( inverse(multiply(B_53,A_54)) = double_divide(A_54,B_53) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_1082,plain,
! [B_21,A_22,C_23] : ( double_divide(multiply(B_21,A_22),double_divide(A_22,multiply(C_23,B_21))) = inverse(inverse(C_23)) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_1058]) ).
tff(c_1099,plain,
! [C_23] : ( inverse(inverse(C_23)) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_1082]) ).
tff(c_857,plain,
! [C_23,C_47,B_21,A_22] : ( multiply(double_divide(inverse(C_23),C_47),C_47) = double_divide(multiply(B_21,A_22),double_divide(A_22,multiply(C_23,B_21))) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_755]) ).
tff(c_1482,plain,
! [C_64,C_65] : ( multiply(double_divide(inverse(C_64),C_65),C_65) = C_64 ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_857]) ).
tff(c_479,plain,
! [A_34,B_35,C_33] : ( double_divide(A_34,multiply(double_divide(A_34,B_35),inverse(C_33))) = multiply(C_33,B_35) ),
inference(superposition,[status(thm),theory(equality)],[c_461,c_83]) ).
tff(c_15338,plain,
! [C_184,C_185] : ( multiply(C_184,inverse(C_184)) = double_divide(inverse(C_185),C_185) ),
inference(superposition,[status(thm),theory(equality)],[c_1482,c_479]) ).
tff(c_15708,plain,
! [C_184,C_23] : ( multiply(C_184,inverse(C_184)) = double_divide(C_23,inverse(C_23)) ),
inference(superposition,[status(thm),theory(equality)],[c_1099,c_15338]) ).
tff(c_22331,plain,
! [C_23,B_222] : ( double_divide(C_23,inverse(C_23)) = double_divide(B_222,inverse(B_222)) ),
inference(superposition,[status(thm),theory(equality)],[c_22300,c_15708]) ).
tff(c_987,plain,
! [C_28,B_29] : ( multiply(multiply(C_28,B_29),inverse(C_28)) = B_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_1322,plain,
! [B_29,C_28] : ( multiply(B_29,inverse(multiply(C_28,B_29))) = inverse(C_28) ),
inference(superposition,[status(thm),theory(equality)],[c_987,c_1268]) ).
tff(c_1601,plain,
! [B_66,C_67] : ( multiply(B_66,double_divide(B_66,C_67)) = inverse(C_67) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_1322]) ).
tff(c_1613,plain,
! [B_66,C_67] : ( double_divide(double_divide(B_66,C_67),B_66) = inverse(inverse(C_67)) ),
inference(superposition,[status(thm),theory(equality)],[c_1601,c_788]) ).
tff(c_1696,plain,
! [B_68,C_69] : ( double_divide(double_divide(B_68,C_69),B_68) = C_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_1613]) ).
tff(c_1757,plain,
! [C_9,A_46] : ( double_divide(C_9,A_46) = double_divide(A_46,C_9) ),
inference(superposition,[status(thm),theory(equality)],[c_825,c_1696]) ).
tff(c_1492,plain,
! [C_64,C_65] : ( multiply(C_64,inverse(double_divide(inverse(C_64),C_65))) = C_65 ),
inference(superposition,[status(thm),theory(equality)],[c_1482,c_987]) ).
tff(c_3378,plain,
! [C_90,C_91] : ( multiply(C_90,multiply(C_91,inverse(C_90))) = C_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1492]) ).
tff(c_3488,plain,
! [C_90,C_52] : ( multiply(C_90,inverse(C_52)) = double_divide(inverse(C_90),C_52) ),
inference(superposition,[status(thm),theory(equality)],[c_1028,c_3378]) ).
tff(c_1691,plain,
! [B_66,C_67] : ( double_divide(double_divide(B_66,C_67),B_66) = C_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_1613]) ).
tff(c_2347,plain,
! [C_76,B_77] : ( double_divide(C_76,double_divide(B_77,C_76)) = B_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1691,c_1696]) ).
tff(c_2429,plain,
! [B_77,B_10] : ( multiply(B_77,B_10) = multiply(B_10,B_77) ),
inference(superposition,[status(thm),theory(equality)],[c_2347,c_23]) ).
tff(c_6,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_2721,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_2429,c_2429,c_6]) ).
tff(c_16533,plain,
double_divide(inverse(b1),b1) != double_divide(inverse(a1),a1),
inference(demodulation,[status(thm),theory(equality)],[c_3488,c_3488,c_2721]) ).
tff(c_16540,plain,
double_divide(b1,inverse(b1)) != double_divide(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_1757,c_1757,c_16533]) ).
tff(c_66707,plain,
! [C_23] : ( double_divide(a1,inverse(a1)) != double_divide(C_23,inverse(C_23)) ),
inference(superposition,[status(thm),theory(equality)],[c_22331,c_16540]) ).
tff(c_125781,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_66707]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15 % Problem : GRP609-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.16 % 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
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 22:41:59 EDT 2023
% 0.22/0.37 % CPUTime :
% 40.14/27.02 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.14/27.03
% 40.14/27.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 40.14/27.06
% 40.14/27.06 Inference rules
% 40.14/27.06 ----------------------
% 40.14/27.06 #Ref : 1
% 40.14/27.06 #Sup : 33452
% 40.14/27.06 #Fact : 0
% 40.14/27.06 #Define : 0
% 40.14/27.06 #Split : 0
% 40.14/27.06 #Chain : 0
% 40.14/27.06 #Close : 0
% 40.14/27.06
% 40.14/27.06 Ordering : KBO
% 40.14/27.06
% 40.14/27.06 Simplification rules
% 40.14/27.06 ----------------------
% 40.14/27.06 #Subsume : 3240
% 40.14/27.06 #Demod : 57199
% 40.14/27.06 #Tautology : 7359
% 40.14/27.06 #SimpNegUnit : 0
% 40.14/27.06 #BackRed : 17
% 40.14/27.06
% 40.14/27.06 #Partial instantiations: 0
% 40.14/27.06 #Strategies tried : 1
% 40.14/27.06
% 40.14/27.06 Timing (in seconds)
% 40.14/27.06 ----------------------
% 40.14/27.07 Preprocessing : 0.40
% 40.14/27.07 Parsing : 0.21
% 40.14/27.07 CNF conversion : 0.02
% 40.14/27.07 Main loop : 25.54
% 40.14/27.07 Inferencing : 3.06
% 40.14/27.07 Reduction : 18.04
% 40.14/27.07 Demodulation : 17.30
% 40.14/27.07 BG Simplification : 0.54
% 40.14/27.07 Subsumption : 2.84
% 40.14/27.07 Abstraction : 0.98
% 40.14/27.07 MUC search : 0.00
% 40.14/27.07 Cooper : 0.00
% 40.14/27.07 Total : 26.00
% 40.14/27.07 Index Insertion : 0.00
% 40.14/27.07 Index Deletion : 0.00
% 40.14/27.07 Index Matching : 0.00
% 40.14/27.07 BG Taut test : 0.00
%------------------------------------------------------------------------------