TSTP Solution File: GRP602-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP602-1 : 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 : n006.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 10:41:37 EDT 2023
% Result : Unsatisfiable 5.52s 2.45s
% Output : CNFRefutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 43 unt; 5 typ; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 112 (; 112 !; 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(inverse(double_divide(A,inverse(double_divide(B,double_divide(A,C))))),C)) = B ),
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(inverse(double_divide(A_1,inverse(double_divide(B_2,double_divide(A_1,C_3))))),C_3)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [C_8,A_9,B_10] : ( multiply(C_8,multiply(multiply(double_divide(A_9,C_8),B_10),A_9)) = B_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_7,plain,
! [C_3,A_1,B_2] : ( multiply(C_3,multiply(multiply(double_divide(A_1,C_3),B_2),A_1)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_34,plain,
! [A_11,A_12,C_13,B_14] : ( multiply(multiply(double_divide(A_11,double_divide(A_12,C_13)),B_14),A_11) = multiply(C_13,multiply(B_14,A_12)) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_40,plain,
! [A_12,C_13,B_14] : ( multiply(double_divide(A_12,C_13),multiply(C_13,multiply(B_14,A_12))) = B_14 ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_7]) ).
tff(c_51,plain,
! [A_15,C_16,B_17] : ( multiply(double_divide(A_15,C_16),multiply(C_16,multiply(B_17,A_15))) = B_17 ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_7]) ).
tff(c_54,plain,
! [C_16,B_17,A_15,C_13] : ( multiply(double_divide(multiply(C_16,multiply(B_17,A_15)),C_13),multiply(C_13,B_17)) = double_divide(A_15,C_16) ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_40]) ).
tff(c_57,plain,
! [B_17,A_15,C_16] : ( multiply(double_divide(multiply(B_17,A_15),double_divide(A_15,C_16)),B_17) = C_16 ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_40]) ).
tff(c_136,plain,
! [C_21,B_22,A_23,C_24] : ( multiply(double_divide(multiply(C_21,multiply(B_22,A_23)),C_24),multiply(C_24,B_22)) = double_divide(A_23,C_21) ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_40]) ).
tff(c_332,plain,
! [A_29,B_30,C_31] : ( double_divide(A_29,multiply(double_divide(multiply(B_30,A_29),C_31),B_30)) = C_31 ),
inference(superposition,[status(thm),theory(equality)],[c_57,c_136]) ).
tff(c_409,plain,
! [B_32,A_33,C_34] : ( double_divide(multiply(B_32,A_33),double_divide(A_33,multiply(C_34,B_32))) = C_34 ),
inference(superposition,[status(thm),theory(equality)],[c_54,c_332]) ).
tff(c_582,plain,
! [A_38,C_39,B_40] : ( multiply(double_divide(A_38,multiply(C_39,B_40)),multiply(B_40,A_38)) = inverse(C_39) ),
inference(superposition,[status(thm),theory(equality)],[c_409,c_4]) ).
tff(c_693,plain,
! [A_41,C_42,B_43] : ( multiply(double_divide(A_41,double_divide(A_41,multiply(C_42,B_43))),inverse(C_42)) = B_43 ),
inference(superposition,[status(thm),theory(equality)],[c_582,c_40]) ).
tff(c_194,plain,
! [A_23,B_22,C_16] : ( double_divide(A_23,multiply(double_divide(multiply(B_22,A_23),C_16),B_22)) = C_16 ),
inference(superposition,[status(thm),theory(equality)],[c_57,c_136]) ).
tff(c_895,plain,
! [C_47,A_48,B_49] : ( double_divide(multiply(inverse(C_47),A_48),multiply(C_47,B_49)) = double_divide(A_48,B_49) ),
inference(superposition,[status(thm),theory(equality)],[c_693,c_194]) ).
tff(c_386,plain,
! [B_17,A_15,C_13] : ( double_divide(multiply(B_17,A_15),double_divide(A_15,multiply(C_13,B_17))) = C_13 ),
inference(superposition,[status(thm),theory(equality)],[c_54,c_332]) ).
tff(c_910,plain,
! [B_49,C_47,A_48] : ( double_divide(multiply(B_49,multiply(inverse(C_47),A_48)),double_divide(A_48,B_49)) = C_47 ),
inference(superposition,[status(thm),theory(equality)],[c_895,c_386]) ).
tff(c_725,plain,
! [C_42,A_23,B_43] : ( double_divide(multiply(inverse(C_42),A_23),multiply(C_42,B_43)) = double_divide(A_23,B_43) ),
inference(superposition,[status(thm),theory(equality)],[c_693,c_194]) ).
tff(c_21,plain,
! [A_9,A_1,C_3,B_10] : ( multiply(multiply(double_divide(A_9,double_divide(A_1,C_3)),B_10),A_9) = multiply(C_3,multiply(B_10,A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_1175,plain,
! [A_60,B_56,A_59,B_57,C_58] : ( multiply(double_divide(A_60,multiply(double_divide(multiply(B_56,A_60),double_divide(A_59,C_58)),B_57)),multiply(C_58,multiply(B_57,A_59))) = B_56 ),
inference(superposition,[status(thm),theory(equality)],[c_21,c_51]) ).
tff(c_1278,plain,
! [C_47,A_48,B_57,B_49] : ( multiply(double_divide(multiply(inverse(C_47),A_48),multiply(C_47,B_57)),multiply(B_49,multiply(B_57,A_48))) = B_49 ),
inference(superposition,[status(thm),theory(equality)],[c_910,c_1175]) ).
tff(c_1559,plain,
! [A_64,B_65,B_66] : ( multiply(double_divide(A_64,B_65),multiply(B_66,multiply(B_65,A_64))) = B_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_725,c_1278]) ).
tff(c_1678,plain,
! [C_47,B_66,A_48,B_49] : ( multiply(C_47,multiply(B_66,multiply(double_divide(A_48,B_49),multiply(B_49,multiply(inverse(C_47),A_48))))) = B_66 ),
inference(superposition,[status(thm),theory(equality)],[c_910,c_1559]) ).
tff(c_1771,plain,
! [C_67,B_68] : ( multiply(C_67,multiply(B_68,inverse(C_67))) = B_68 ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_1678]) ).
tff(c_2049,plain,
! [C_72,B_73] : ( multiply(double_divide(inverse(C_72),C_72),B_73) = B_73 ),
inference(superposition,[status(thm),theory(equality)],[c_1771,c_7]) ).
tff(c_1763,plain,
! [C_47,B_66] : ( multiply(C_47,multiply(B_66,inverse(C_47))) = B_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_1678]) ).
tff(c_2064,plain,
! [B_66,C_72] : ( multiply(B_66,inverse(double_divide(inverse(C_72),C_72))) = B_66 ),
inference(superposition,[status(thm),theory(equality)],[c_2049,c_1763]) ).
tff(c_2204,plain,
! [B_66,C_72] : ( multiply(B_66,multiply(C_72,inverse(C_72))) = B_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2064]) ).
tff(c_1418,plain,
! [A_48,B_57,B_49] : ( multiply(double_divide(A_48,B_57),multiply(B_49,multiply(B_57,A_48))) = B_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_725,c_1278]) ).
tff(c_2562,plain,
! [C_79,B_80] : ( multiply(double_divide(inverse(C_79),B_80),B_80) = C_79 ),
inference(superposition,[status(thm),theory(equality)],[c_1771,c_1418]) ).
tff(c_447,plain,
! [A_33,C_34,B_32] : ( multiply(double_divide(A_33,multiply(C_34,B_32)),multiply(B_32,A_33)) = inverse(C_34) ),
inference(superposition,[status(thm),theory(equality)],[c_409,c_4]) ).
tff(c_2635,plain,
! [C_79] : ( inverse(inverse(C_79)) = C_79 ),
inference(superposition,[status(thm),theory(equality)],[c_2562,c_447]) ).
tff(c_2856,plain,
! [B_84,C_85] : ( multiply(B_84,multiply(C_85,inverse(C_85))) = B_84 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2064]) ).
tff(c_630,plain,
! [C_39,B_40,A_38] : ( multiply(multiply(C_39,B_40),multiply(inverse(C_39),A_38)) = multiply(B_40,A_38) ),
inference(superposition,[status(thm),theory(equality)],[c_582,c_7]) ).
tff(c_2928,plain,
! [B_40,C_39] : ( multiply(B_40,inverse(inverse(C_39))) = multiply(C_39,B_40) ),
inference(superposition,[status(thm),theory(equality)],[c_2856,c_630]) ).
tff(c_3084,plain,
! [C_39,B_40] : ( multiply(C_39,B_40) = multiply(B_40,C_39) ),
inference(demodulation,[status(thm),theory(equality)],[c_2635,c_2928]) ).
tff(c_6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_3206,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_3084,c_3084,c_6]) ).
tff(c_3209,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2204,c_3206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP602-1 : 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:07:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.52/2.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.52/2.46
% 5.52/2.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.52/2.49
% 5.52/2.49 Inference rules
% 5.52/2.49 ----------------------
% 5.52/2.49 #Ref : 0
% 5.52/2.49 #Sup : 906
% 5.52/2.49 #Fact : 0
% 5.52/2.49 #Define : 0
% 5.52/2.49 #Split : 0
% 5.52/2.49 #Chain : 0
% 5.52/2.49 #Close : 0
% 5.52/2.49
% 5.52/2.49 Ordering : KBO
% 5.52/2.49
% 5.52/2.49 Simplification rules
% 5.52/2.49 ----------------------
% 5.52/2.49 #Subsume : 0
% 5.52/2.49 #Demod : 194
% 5.52/2.49 #Tautology : 158
% 5.52/2.49 #SimpNegUnit : 0
% 5.52/2.49 #BackRed : 6
% 5.52/2.49
% 5.52/2.49 #Partial instantiations: 0
% 5.52/2.49 #Strategies tried : 1
% 5.52/2.49
% 5.52/2.49 Timing (in seconds)
% 5.52/2.49 ----------------------
% 5.52/2.50 Preprocessing : 0.40
% 5.52/2.50 Parsing : 0.21
% 5.52/2.50 CNF conversion : 0.02
% 5.83/2.50 Main loop : 0.95
% 5.83/2.50 Inferencing : 0.38
% 5.83/2.50 Reduction : 0.31
% 5.83/2.50 Demodulation : 0.25
% 5.83/2.50 BG Simplification : 0.06
% 5.83/2.50 Subsumption : 0.14
% 5.83/2.50 Abstraction : 0.07
% 5.83/2.50 MUC search : 0.00
% 5.83/2.50 Cooper : 0.00
% 5.83/2.50 Total : 1.41
% 5.83/2.50 Index Insertion : 0.00
% 5.83/2.50 Index Deletion : 0.00
% 5.83/2.50 Index Matching : 0.00
% 5.83/2.50 BG Taut test : 0.00
%------------------------------------------------------------------------------