TSTP Solution File: GRP594-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP594-1 : 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 : 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 7.56s 2.78s
% Output : CNFRefutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 53 unt; 5 typ; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 126 (; 126 !; 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] : ( inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(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] : ( inverse(double_divide(double_divide(A_1,B_2),inverse(double_divide(A_1,inverse(double_divide(C_3,B_2)))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [B_8,C_9,A_10] : ( multiply(multiply(multiply(B_8,C_9),A_10),double_divide(A_10,B_8)) = C_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_7,plain,
! [B_2,C_3,A_1] : ( multiply(multiply(multiply(B_2,C_3),A_1),double_divide(A_1,B_2)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_20,plain,
! [C_9,A_1,B_8,A_10] : ( multiply(multiply(C_9,A_1),double_divide(A_1,multiply(multiply(B_8,C_9),A_10))) = double_divide(A_10,B_8) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_64,plain,
! [C_14,A_15,B_16,A_17] : ( multiply(multiply(C_14,A_15),double_divide(A_15,multiply(multiply(B_16,C_14),A_17))) = double_divide(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_23,plain,
! [C_9,A_10,B_8] : ( multiply(C_9,double_divide(double_divide(A_10,B_8),multiply(B_8,C_9))) = A_10 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_127,plain,
! [C_18,A_19,B_20] : ( double_divide(multiply(C_18,double_divide(A_19,multiply(B_20,C_18))),B_20) = A_19 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_161,plain,
! [C_9,A_1,B_8] : ( double_divide(double_divide(multiply(C_9,A_1),B_8),multiply(B_8,C_9)) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_175,plain,
! [C_21,A_22,B_23] : ( double_divide(double_divide(multiply(C_21,A_22),B_23),multiply(B_23,C_21)) = A_22 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_197,plain,
! [B_23,C_21,A_22] : ( multiply(multiply(B_23,C_21),double_divide(multiply(C_21,A_22),B_23)) = inverse(A_22) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_83,plain,
! [C_14,A_10,B_16] : ( double_divide(multiply(C_14,double_divide(A_10,multiply(B_16,C_14))),B_16) = A_10 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_296,plain,
! [B_27,C_28,A_29] : ( multiply(multiply(B_27,C_28),double_divide(multiply(C_28,A_29),B_27)) = inverse(A_29) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_335,plain,
! [A_29,C_28,B_27] : ( multiply(inverse(A_29),double_divide(double_divide(multiply(C_28,A_29),B_27),B_27)) = C_28 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_380,plain,
! [A_30,C_31,B_32] : ( multiply(inverse(A_30),double_divide(double_divide(multiply(C_31,A_30),B_32),B_32)) = C_31 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_461,plain,
! [C_33,A_34,B_35] : ( double_divide(multiply(C_33,A_34),multiply(B_35,inverse(A_34))) = double_divide(C_33,B_35) ),
inference(superposition,[status(thm),theory(equality)],[c_380,c_83]) ).
tff(c_596,plain,
! [A_39,C_40,B_41] : ( double_divide(multiply(inverse(A_39),double_divide(C_40,B_41)),B_41) = multiply(C_40,A_39) ),
inference(superposition,[status(thm),theory(equality)],[c_461,c_83]) ).
tff(c_669,plain,
! [C_42,A_43,B_44] : ( multiply(double_divide(multiply(C_42,A_43),B_44),A_43) = double_divide(C_42,B_44) ),
inference(superposition,[status(thm),theory(equality)],[c_335,c_596]) ).
tff(c_755,plain,
! [A_45,B_46,C_47] : ( multiply(A_45,double_divide(A_45,multiply(B_46,C_47))) = double_divide(C_47,B_46) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_669]) ).
tff(c_1057,plain,
! [B_53,C_54] : ( inverse(multiply(B_53,C_54)) = double_divide(C_54,B_53) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_1081,plain,
! [C_21,A_22,B_23] : ( double_divide(double_divide(multiply(C_21,A_22),B_23),multiply(B_23,C_21)) = inverse(inverse(A_22)) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_1057]) ).
tff(c_1098,plain,
! [A_22] : ( inverse(inverse(A_22)) = A_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_1081]) ).
tff(c_788,plain,
! [B_46,C_47] : ( inverse(multiply(B_46,C_47)) = double_divide(C_47,B_46) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_825,plain,
! [A_10,B_46] : ( double_divide(double_divide(A_10,B_46),B_46) = A_10 ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_23]) ).
tff(c_987,plain,
! [A_29,C_28] : ( multiply(inverse(A_29),multiply(C_28,A_29)) = C_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_1267,plain,
! [A_60,C_61] : ( multiply(inverse(A_60),multiply(C_61,A_60)) = C_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_1321,plain,
! [C_28,A_29] : ( multiply(inverse(multiply(C_28,A_29)),C_28) = inverse(A_29) ),
inference(superposition,[status(thm),theory(equality)],[c_987,c_1267]) ).
tff(c_1601,plain,
! [A_66,C_67] : ( multiply(double_divide(A_66,C_67),C_67) = inverse(A_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_1321]) ).
tff(c_1613,plain,
! [C_67,A_66] : ( double_divide(C_67,double_divide(A_66,C_67)) = inverse(inverse(A_66)) ),
inference(superposition,[status(thm),theory(equality)],[c_1601,c_788]) ).
tff(c_1691,plain,
! [C_67,A_66] : ( double_divide(C_67,double_divide(A_66,C_67)) = A_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_1613]) ).
tff(c_1696,plain,
! [C_68,A_69] : ( double_divide(C_68,double_divide(A_69,C_68)) = A_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_1613]) ).
tff(c_2213,plain,
! [A_76,C_77] : ( double_divide(double_divide(A_76,C_77),A_76) = C_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1691,c_1696]) ).
tff(c_2291,plain,
! [C_9,C_77] : ( multiply(C_9,C_77) = multiply(C_77,C_9) ),
inference(superposition,[status(thm),theory(equality)],[c_2213,c_23]) ).
tff(c_988,plain,
! [A_51,B_52] : ( double_divide(double_divide(A_51,B_52),B_52) = A_51 ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_23]) ).
tff(c_1028,plain,
! [B_52,A_51] : ( multiply(B_52,double_divide(A_51,B_52)) = inverse(A_51) ),
inference(superposition,[status(thm),theory(equality)],[c_988,c_4]) ).
tff(c_857,plain,
! [A_45,A_22,C_21,B_23] : ( multiply(A_45,double_divide(A_45,inverse(A_22))) = double_divide(double_divide(multiply(C_21,A_22),B_23),multiply(B_23,C_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_755]) ).
tff(c_1482,plain,
! [A_64,A_65] : ( multiply(A_64,double_divide(A_64,inverse(A_65))) = A_65 ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_857]) ).
tff(c_1492,plain,
! [A_64,A_65] : ( multiply(inverse(double_divide(A_64,inverse(A_65))),A_65) = A_64 ),
inference(superposition,[status(thm),theory(equality)],[c_1482,c_987]) ).
tff(c_2973,plain,
! [A_86,A_87] : ( multiply(multiply(inverse(A_86),A_87),A_86) = A_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1492]) ).
tff(c_3696,plain,
! [A_96,A_97] : ( multiply(A_96,double_divide(A_97,inverse(A_97))) = A_96 ),
inference(superposition,[status(thm),theory(equality)],[c_2973,c_7]) ).
tff(c_38,plain,
! [C_11,A_12,B_13] : ( multiply(C_11,double_divide(double_divide(A_12,B_13),multiply(B_13,C_11))) = A_12 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_41,plain,
! [A_12,B_13,C_11,A_10] : ( multiply(double_divide(double_divide(A_12,B_13),multiply(B_13,C_11)),double_divide(double_divide(A_10,C_11),A_12)) = A_10 ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_23]) ).
tff(c_3749,plain,
! [A_12,A_96,A_10,A_97] : ( multiply(double_divide(double_divide(A_12,A_96),A_96),double_divide(double_divide(A_10,double_divide(A_97,inverse(A_97))),A_12)) = A_10 ),
inference(superposition,[status(thm),theory(equality)],[c_3696,c_41]) ).
tff(c_5311,plain,
! [A_112,A_113] : ( multiply(double_divide(A_112,inverse(A_112)),A_113) = A_113 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1028,c_825,c_3749]) ).
tff(c_1330,plain,
! [A_22,C_61] : ( multiply(A_22,multiply(C_61,inverse(A_22))) = C_61 ),
inference(superposition,[status(thm),theory(equality)],[c_1098,c_1267]) ).
tff(c_5335,plain,
! [C_61,A_112] : ( multiply(C_61,inverse(double_divide(A_112,inverse(A_112)))) = C_61 ),
inference(superposition,[status(thm),theory(equality)],[c_5311,c_1330]) ).
tff(c_5548,plain,
! [C_61,A_112] : ( multiply(C_61,multiply(A_112,inverse(A_112))) = C_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_2291,c_4,c_5335]) ).
tff(c_6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_2663,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_2291,c_2291,c_6]) ).
tff(c_7903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5548,c_2663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 21:56:07 EDT 2023
% 0.16/0.38 % CPUTime :
% 7.56/2.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.56/2.79
% 7.56/2.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.56/2.82
% 7.56/2.82 Inference rules
% 7.56/2.82 ----------------------
% 7.56/2.82 #Ref : 0
% 7.56/2.82 #Sup : 2175
% 7.56/2.82 #Fact : 0
% 7.56/2.83 #Define : 0
% 7.56/2.83 #Split : 0
% 7.56/2.83 #Chain : 0
% 7.56/2.83 #Close : 0
% 7.56/2.83
% 7.56/2.83 Ordering : KBO
% 7.56/2.83
% 7.56/2.83 Simplification rules
% 7.56/2.83 ----------------------
% 7.56/2.83 #Subsume : 26
% 7.56/2.83 #Demod : 871
% 7.56/2.83 #Tautology : 504
% 7.56/2.83 #SimpNegUnit : 0
% 7.56/2.83 #BackRed : 5
% 7.56/2.83
% 7.56/2.83 #Partial instantiations: 0
% 7.56/2.83 #Strategies tried : 1
% 7.56/2.83
% 7.56/2.83 Timing (in seconds)
% 7.56/2.83 ----------------------
% 7.56/2.83 Preprocessing : 0.38
% 7.56/2.83 Parsing : 0.20
% 7.56/2.83 CNF conversion : 0.02
% 7.56/2.83 Main loop : 1.46
% 7.56/2.83 Inferencing : 0.51
% 7.56/2.83 Reduction : 0.56
% 7.56/2.83 Demodulation : 0.48
% 7.56/2.83 BG Simplification : 0.08
% 7.56/2.83 Subsumption : 0.22
% 7.56/2.83 Abstraction : 0.09
% 7.56/2.83 MUC search : 0.00
% 7.56/2.83 Cooper : 0.00
% 7.56/2.83 Total : 1.89
% 7.56/2.83 Index Insertion : 0.00
% 7.56/2.83 Index Deletion : 0.00
% 7.56/2.83 Index Matching : 0.00
% 7.56/2.83 BG Taut test : 0.00
%------------------------------------------------------------------------------