TSTP Solution File: GRP613-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP613-1 : 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 : n004.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 41.66s 25.54s
% Output : CNFRefutation 41.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 70 unt; 5 typ; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 169 (; 169 !; 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] : ( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(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] : ( double_divide(inverse(double_divide(inverse(double_divide(A_1,inverse(B_2))),C_3)),double_divide(A_1,C_3)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_7,plain,
! [C_3,B_2,A_1] : ( double_divide(multiply(C_3,multiply(inverse(B_2),A_1)),double_divide(A_1,C_3)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_17,plain,
! [C_8,B_9,A_10] : ( double_divide(multiply(C_8,multiply(inverse(B_9),A_10)),double_divide(A_10,C_8)) = B_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_277,plain,
! [A_32,C_33,B_34,B_35] : ( double_divide(multiply(double_divide(A_32,C_33),multiply(inverse(B_34),multiply(C_33,multiply(inverse(B_35),A_32)))),B_35) = B_34 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_310,plain,
! [B_35,A_32,C_33,B_34] : ( multiply(B_35,multiply(double_divide(A_32,C_33),multiply(inverse(B_34),multiply(C_33,multiply(inverse(B_35),A_32))))) = inverse(B_34) ),
inference(superposition,[status(thm),theory(equality)],[c_277,c_4]) ).
tff(c_574,plain,
! [B_48,A_49,C_50,B_51] : ( multiply(B_48,multiply(double_divide(A_49,C_50),multiply(inverse(B_51),multiply(C_50,multiply(inverse(B_48),A_49))))) = inverse(B_51) ),
inference(superposition,[status(thm),theory(equality)],[c_277,c_4]) ).
tff(c_665,plain,
! [B_34,C_33,B_51,A_32] : ( multiply(B_34,multiply(double_divide(multiply(C_33,multiply(inverse(inverse(B_51)),A_32)),double_divide(A_32,C_33)),inverse(B_34))) = inverse(B_51) ),
inference(superposition,[status(thm),theory(equality)],[c_310,c_574]) ).
tff(c_779,plain,
! [B_54,B_55] : ( multiply(B_54,multiply(inverse(B_55),inverse(B_54))) = inverse(B_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_665]) ).
tff(c_887,plain,
! [B_56,B_57] : ( double_divide(inverse(B_56),double_divide(inverse(B_57),B_57)) = B_56 ),
inference(superposition,[status(thm),theory(equality)],[c_779,c_7]) ).
tff(c_1596,plain,
! [A_74,B_75,B_76] : ( double_divide(multiply(A_74,B_75),double_divide(inverse(B_76),B_76)) = double_divide(B_75,A_74) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_887]) ).
tff(c_20,plain,
! [A_10,C_8,B_2,B_9] : ( double_divide(multiply(double_divide(A_10,C_8),multiply(inverse(B_2),multiply(C_8,multiply(inverse(B_9),A_10)))),B_9) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_617,plain,
! [C_50,B_2,A_49,B_51] : ( double_divide(multiply(double_divide(multiply(C_50,multiply(inverse(inverse(B_2)),A_49)),double_divide(A_49,C_50)),inverse(B_51)),B_51) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_574,c_20]) ).
tff(c_719,plain,
! [B_52,B_53] : ( double_divide(multiply(inverse(B_52),inverse(B_53)),B_53) = B_52 ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_617]) ).
tff(c_776,plain,
! [B_52,A_4,B_5] : ( double_divide(multiply(inverse(B_52),multiply(A_4,B_5)),double_divide(B_5,A_4)) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_719]) ).
tff(c_1610,plain,
! [B_76,B_52] : ( double_divide(multiply(B_76,inverse(B_76)),inverse(B_52)) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_1596,c_776]) ).
tff(c_872,plain,
! [B_54,A_4,B_5] : ( multiply(B_54,multiply(multiply(A_4,B_5),inverse(B_54))) = inverse(double_divide(B_5,A_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_779]) ).
tff(c_989,plain,
! [B_60,A_61,B_62] : ( multiply(B_60,multiply(multiply(A_61,B_62),inverse(B_60))) = multiply(A_61,B_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_872]) ).
tff(c_95,plain,
! [C_17,A_18,B_19,A_20] : ( double_divide(multiply(C_17,multiply(multiply(A_18,B_19),A_20)),double_divide(A_20,C_17)) = double_divide(B_19,A_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_110,plain,
! [A_20,C_17,A_18,B_19] : ( multiply(double_divide(A_20,C_17),multiply(C_17,multiply(multiply(A_18,B_19),A_20))) = inverse(double_divide(B_19,A_18)) ),
inference(superposition,[status(thm),theory(equality)],[c_95,c_4]) ).
tff(c_131,plain,
! [A_20,C_17,A_18,B_19] : ( multiply(double_divide(A_20,C_17),multiply(C_17,multiply(multiply(A_18,B_19),A_20))) = multiply(A_18,B_19) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_110]) ).
tff(c_1408,plain,
! [B_71,A_72,B_73] : ( multiply(double_divide(inverse(B_71),B_71),multiply(A_72,B_73)) = multiply(A_72,B_73) ),
inference(superposition,[status(thm),theory(equality)],[c_989,c_131]) ).
tff(c_716,plain,
! [B_34,B_51] : ( multiply(B_34,multiply(inverse(B_51),inverse(B_34))) = inverse(B_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_7,c_665]) ).
tff(c_1431,plain,
! [B_51,B_71] : ( multiply(inverse(B_51),inverse(double_divide(inverse(B_71),B_71))) = inverse(B_51) ),
inference(superposition,[status(thm),theory(equality)],[c_1408,c_716]) ).
tff(c_1837,plain,
! [B_79,B_80] : ( multiply(inverse(B_79),multiply(B_80,inverse(B_80))) = inverse(B_79) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1431]) ).
tff(c_38,plain,
! [A_11,C_12,B_13] : ( multiply(double_divide(A_11,C_12),multiply(C_12,multiply(inverse(B_13),A_11))) = inverse(B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_49,plain,
! [B_13,A_11,B_2] : ( double_divide(inverse(B_13),double_divide(multiply(inverse(B_13),A_11),double_divide(A_11,inverse(B_2)))) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_7]) ).
tff(c_1920,plain,
! [B_79,B_80,B_2] : ( double_divide(inverse(B_79),double_divide(inverse(B_79),double_divide(multiply(B_80,inverse(B_80)),inverse(B_2)))) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_1837,c_49]) ).
tff(c_2100,plain,
! [B_85,B_86] : ( double_divide(inverse(B_85),double_divide(inverse(B_85),B_86)) = B_86 ),
inference(demodulation,[status(thm),theory(equality)],[c_1610,c_1920]) ).
tff(c_1127,plain,
! [B_63,A_64,B_65] : ( double_divide(multiply(inverse(B_63),multiply(A_64,B_65)),double_divide(B_65,A_64)) = B_63 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_719]) ).
tff(c_1184,plain,
! [B_51,B_63] : ( double_divide(inverse(B_51),double_divide(inverse(inverse(B_63)),inverse(B_51))) = B_63 ),
inference(superposition,[status(thm),theory(equality)],[c_716,c_1127]) ).
tff(c_2110,plain,
! [B_63] : ( inverse(inverse(B_63)) = B_63 ),
inference(superposition,[status(thm),theory(equality)],[c_2100,c_1184]) ).
tff(c_2180,plain,
! [B_87] : ( inverse(inverse(B_87)) = B_87 ),
inference(superposition,[status(thm),theory(equality)],[c_2100,c_1184]) ).
tff(c_2246,plain,
! [B_34,B_87] : ( multiply(B_34,multiply(B_87,inverse(B_34))) = inverse(inverse(B_87)) ),
inference(superposition,[status(thm),theory(equality)],[c_2180,c_716]) ).
tff(c_2801,plain,
! [B_94,B_95] : ( multiply(B_94,multiply(B_95,inverse(B_94))) = B_95 ),
inference(demodulation,[status(thm),theory(equality)],[c_2110,c_2246]) ).
tff(c_2832,plain,
! [B_95,B_52] : ( double_divide(B_95,double_divide(inverse(inverse(B_52)),B_95)) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_2801,c_776]) ).
tff(c_2991,plain,
! [B_96,B_97] : ( double_divide(B_96,double_divide(B_97,B_96)) = B_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_2110,c_2832]) ).
tff(c_1969,plain,
! [B_79,B_2] : ( double_divide(inverse(B_79),double_divide(inverse(B_79),B_2)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_1610,c_1920]) ).
tff(c_2189,plain,
! [B_87,B_2] : ( double_divide(B_87,double_divide(inverse(inverse(B_87)),B_2)) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_2180,c_1969]) ).
tff(c_2321,plain,
! [B_87,B_2] : ( double_divide(B_87,double_divide(B_87,B_2)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_2110,c_2189]) ).
tff(c_3000,plain,
! [B_97,B_96] : ( double_divide(B_97,B_96) = double_divide(B_96,B_97) ),
inference(superposition,[status(thm),theory(equality)],[c_2991,c_2321]) ).
tff(c_2543,plain,
! [B_90,B_91] : ( double_divide(B_90,double_divide(B_90,B_91)) = B_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_2110,c_2189]) ).
tff(c_3619,plain,
! [B_107,B_108] : ( multiply(double_divide(B_107,B_108),B_107) = inverse(B_108) ),
inference(superposition,[status(thm),theory(equality)],[c_2543,c_4]) ).
tff(c_2327,plain,
! [B_34,B_87] : ( multiply(B_34,multiply(B_87,inverse(B_34))) = B_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_2110,c_2246]) ).
tff(c_3633,plain,
! [B_34,B_108] : ( multiply(B_34,inverse(B_108)) = double_divide(inverse(B_34),B_108) ),
inference(superposition,[status(thm),theory(equality)],[c_3619,c_2327]) ).
tff(c_2318,plain,
! [A_4,B_5] : ( inverse(multiply(A_4,B_5)) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2180]) ).
tff(c_18366,plain,
! [B_222,B_223] : ( double_divide(multiply(B_222,inverse(B_222)),B_223) = inverse(B_223) ),
inference(superposition,[status(thm),theory(equality)],[c_2180,c_1610]) ).
tff(c_866,plain,
! [B_55,B_54] : ( double_divide(inverse(B_55),double_divide(inverse(B_54),B_54)) = B_55 ),
inference(superposition,[status(thm),theory(equality)],[c_779,c_7]) ).
tff(c_12539,plain,
! [B_186,B_185] : ( double_divide(inverse(B_186),B_186) = double_divide(inverse(B_185),B_185) ),
inference(superposition,[status(thm),theory(equality)],[c_866,c_2100]) ).
tff(c_16136,plain,
! [B_208,B_209] : ( double_divide(inverse(B_208),B_208) = double_divide(B_209,inverse(B_209)) ),
inference(superposition,[status(thm),theory(equality)],[c_2110,c_12539]) ).
tff(c_16427,plain,
! [B_208,B_209] : ( multiply(B_208,inverse(B_208)) = inverse(double_divide(B_209,inverse(B_209))) ),
inference(superposition,[status(thm),theory(equality)],[c_16136,c_4]) ).
tff(c_18373,plain,
! [B_208,B_222] : ( multiply(B_208,inverse(B_208)) = inverse(inverse(inverse(multiply(B_222,inverse(B_222))))) ),
inference(superposition,[status(thm),theory(equality)],[c_18366,c_16427]) ).
tff(c_29021,plain,
! [B_273,B_274] : ( multiply(B_273,inverse(B_273)) = double_divide(B_274,inverse(B_274)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3000,c_2318,c_2110,c_18373]) ).
tff(c_26,plain,
! [A_10,C_8,B_9] : ( multiply(double_divide(A_10,C_8),multiply(C_8,multiply(inverse(B_9),A_10))) = inverse(B_9) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_346,plain,
! [B_36,A_37,A_38,B_39] : ( double_divide(inverse(B_36),double_divide(multiply(inverse(B_36),A_37),double_divide(A_37,multiply(A_38,B_39)))) = double_divide(B_39,A_38) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_95]) ).
tff(c_367,plain,
! [B_36,A_37,A_38,B_39] : ( multiply(double_divide(multiply(inverse(B_36),A_37),double_divide(A_37,multiply(A_38,B_39))),inverse(B_36)) = inverse(double_divide(B_39,A_38)) ),
inference(superposition,[status(thm),theory(equality)],[c_346,c_4]) ).
tff(c_391,plain,
! [B_36,A_37,A_38,B_39] : ( multiply(double_divide(multiply(inverse(B_36),A_37),double_divide(A_37,multiply(A_38,B_39))),inverse(B_36)) = multiply(A_38,B_39) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_367]) ).
tff(c_3789,plain,
! [B_110,B_109] : ( double_divide(B_110,B_109) = double_divide(B_109,B_110) ),
inference(superposition,[status(thm),theory(equality)],[c_2991,c_2321]) ).
tff(c_5852,plain,
! [B_130,B_131] : ( inverse(double_divide(B_130,B_131)) = multiply(B_130,B_131) ),
inference(superposition,[status(thm),theory(equality)],[c_3789,c_4]) ).
tff(c_53,plain,
! [B_9,A_10,B_13] : ( multiply(double_divide(multiply(inverse(B_9),A_10),double_divide(A_10,inverse(B_13))),inverse(B_9)) = inverse(B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_38]) ).
tff(c_5951,plain,
! [B_9,A_10,B_130,B_131] : ( multiply(double_divide(multiply(inverse(B_9),A_10),double_divide(A_10,multiply(B_130,B_131))),inverse(B_9)) = inverse(double_divide(B_130,B_131)) ),
inference(superposition,[status(thm),theory(equality)],[c_5852,c_53]) ).
tff(c_6046,plain,
! [B_131,B_130] : ( multiply(B_131,B_130) = multiply(B_130,B_131) ),
inference(demodulation,[status(thm),theory(equality)],[c_391,c_4,c_5951]) ).
tff(c_6,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_6061,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_6046,c_6046,c_6]) ).
tff(c_29154,plain,
! [B_274] : ( multiply(a1,inverse(a1)) != double_divide(B_274,inverse(B_274)) ),
inference(superposition,[status(thm),theory(equality)],[c_29021,c_6061]) ).
tff(c_123879,plain,
! [B_274] : ( double_divide(a1,inverse(a1)) != double_divide(B_274,inverse(B_274)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3000,c_3633,c_29154]) ).
tff(c_123883,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_123879]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP613-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 21:52:26 EDT 2023
% 0.15/0.35 % CPUTime :
% 41.66/25.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.66/25.56
% 41.66/25.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 41.66/25.60
% 41.66/25.60 Inference rules
% 41.66/25.60 ----------------------
% 41.66/25.60 #Ref : 1
% 41.66/25.60 #Sup : 31095
% 41.66/25.60 #Fact : 0
% 41.66/25.60 #Define : 0
% 41.66/25.60 #Split : 0
% 41.66/25.60 #Chain : 0
% 41.66/25.60 #Close : 0
% 41.66/25.60
% 41.66/25.60 Ordering : KBO
% 41.66/25.60
% 41.66/25.60 Simplification rules
% 41.66/25.60 ----------------------
% 41.66/25.60 #Subsume : 2679
% 41.66/25.60 #Demod : 66935
% 41.66/25.60 #Tautology : 9536
% 41.66/25.60 #SimpNegUnit : 0
% 41.66/25.60 #BackRed : 50
% 41.66/25.60
% 41.66/25.60 #Partial instantiations: 0
% 41.66/25.60 #Strategies tried : 1
% 41.66/25.60
% 41.66/25.60 Timing (in seconds)
% 41.66/25.60 ----------------------
% 41.66/25.60 Preprocessing : 0.39
% 41.66/25.60 Parsing : 0.20
% 41.66/25.60 CNF conversion : 0.02
% 41.66/25.60 Main loop : 24.14
% 41.66/25.60 Inferencing : 3.21
% 41.66/25.60 Reduction : 17.14
% 41.66/25.60 Demodulation : 16.43
% 41.66/25.60 BG Simplification : 0.52
% 41.66/25.60 Subsumption : 2.24
% 41.66/25.60 Abstraction : 1.12
% 41.66/25.60 MUC search : 0.00
% 41.66/25.60 Cooper : 0.00
% 41.66/25.60 Total : 24.59
% 41.66/25.60 Index Insertion : 0.00
% 41.66/25.60 Index Deletion : 0.00
% 41.66/25.60 Index Matching : 0.00
% 41.66/25.60 BG Taut test : 0.00
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