TSTP Solution File: GRP453-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP453-1 : 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 : n031.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 10:41:17 EDT 2023
% Result : Unsatisfiable 17.13s 7.13s
% Output : CNFRefutation 17.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 68 ( 62 unt; 6 typ; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 10 ( 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 : 154 (; 154 !; 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_27,axiom,
! [A,B] : ( inverse(A) = divide(divide(B,B),A) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B,C] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ),
file(unknown,unknown) ).
tff(f_29,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_6,plain,
! [B_8,A_7] : ( divide(divide(B_8,B_8),A_7) = inverse(A_7) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
! [A_4,C_6,B_5] : ( divide(A_4,divide(divide(C_6,C_6),B_5)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_9,plain,
! [A_4,B_5] : ( divide(A_4,inverse(B_5)) = multiply(A_4,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(divide(divide(A_1,A_1),divide(A_1,divide(B_2,divide(divide(divide(A_1,A_1),A_1),C_3)))),C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_10,plain,
! [A_1,B_2,C_3] : ( divide(inverse(divide(A_1,divide(B_2,divide(inverse(A_1),C_3)))),C_3) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_28,plain,
! [A_11,B_12] : ( divide(A_11,inverse(B_12)) = multiply(A_11,B_12) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_46,plain,
! [B_8,B_12] : ( multiply(divide(B_8,B_8),B_12) = inverse(inverse(B_12)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_11,plain,
! [B_9,A_10] : ( divide(divide(B_9,B_9),A_10) = inverse(A_10) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_22,plain,
! [B_8,A_10] : ( divide(inverse(divide(B_8,B_8)),A_10) = inverse(A_10) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_11]) ).
tff(c_282,plain,
! [A_27,B_28,C_29] : ( divide(inverse(divide(A_27,divide(B_28,divide(inverse(A_27),C_29)))),C_29) = B_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_363,plain,
! [B_28,B_8,C_29] : ( divide(inverse(inverse(divide(B_28,divide(inverse(divide(B_8,B_8)),C_29)))),C_29) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_282]) ).
tff(c_379,plain,
! [B_30,C_31] : ( divide(inverse(inverse(multiply(B_30,C_31))),C_31) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_22,c_363]) ).
tff(c_704,plain,
! [B_41,B_42] : ( divide(inverse(inverse(inverse(inverse(B_41)))),B_41) = divide(B_42,B_42) ),
inference(superposition,[status(thm),theory(equality)],[c_46,c_379]) ).
tff(c_405,plain,
! [B_12,B_8] : ( divide(inverse(inverse(inverse(inverse(B_12)))),B_12) = divide(B_8,B_8) ),
inference(superposition,[status(thm),theory(equality)],[c_46,c_379]) ).
tff(c_820,plain,
! [B_44,B_43] : ( divide(B_44,B_44) = divide(B_43,B_43) ),
inference(superposition,[status(thm),theory(equality)],[c_704,c_405]) ).
tff(c_938,plain,
! [B_8,B_44] : ( inverse(divide(B_8,B_8)) = divide(B_44,B_44) ),
inference(superposition,[status(thm),theory(equality)],[c_820,c_6]) ).
tff(c_3783,plain,
! [A_73,B_74,A_75,C_76] : ( inverse(divide(A_73,divide(B_74,divide(inverse(A_73),divide(inverse(A_75),C_76))))) = divide(inverse(divide(A_75,B_74)),C_76) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_282]) ).
tff(c_3957,plain,
! [A_73,B_8,A_75,C_76] : ( inverse(divide(A_73,inverse(divide(B_8,B_8)))) = divide(inverse(divide(A_75,divide(inverse(A_73),divide(inverse(A_75),C_76)))),C_76) ),
inference(superposition,[status(thm),theory(equality)],[c_938,c_3783]) ).
tff(c_4523,plain,
! [A_79,B_80] : ( inverse(multiply(A_79,divide(B_80,B_80))) = inverse(A_79) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_9,c_3957]) ).
tff(c_378,plain,
! [B_28,C_29] : ( divide(inverse(inverse(multiply(B_28,C_29))),C_29) = B_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_22,c_363]) ).
tff(c_4593,plain,
! [A_79,B_80] : ( divide(inverse(inverse(A_79)),divide(B_80,B_80)) = A_79 ),
inference(superposition,[status(thm),theory(equality)],[c_4523,c_378]) ).
tff(c_5061,plain,
! [A_83,B_84] : ( divide(inverse(inverse(A_83)),divide(B_84,B_84)) = A_83 ),
inference(superposition,[status(thm),theory(equality)],[c_4523,c_378]) ).
tff(c_708,plain,
! [B_8,B_42] : ( divide(B_8,B_8) = divide(B_42,B_42) ),
inference(superposition,[status(thm),theory(equality)],[c_704,c_405]) ).
tff(c_3998,plain,
! [A_73,B_8,A_75,C_76] : ( inverse(divide(A_73,divide(B_8,B_8))) = divide(inverse(divide(A_75,divide(inverse(A_73),divide(inverse(A_75),C_76)))),C_76) ),
inference(superposition,[status(thm),theory(equality)],[c_708,c_3783]) ).
tff(c_4175,plain,
! [A_73,B_8] : ( inverse(divide(A_73,divide(B_8,B_8))) = inverse(A_73) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_3998]) ).
tff(c_5274,plain,
! [A_85] : ( inverse(inverse(inverse(A_85))) = inverse(A_85) ),
inference(superposition,[status(thm),theory(equality)],[c_5061,c_4175]) ).
tff(c_5286,plain,
! [A_85,B_80] : ( divide(inverse(inverse(A_85)),divide(B_80,B_80)) = inverse(inverse(A_85)) ),
inference(superposition,[status(thm),theory(equality)],[c_5274,c_4593]) ).
tff(c_5419,plain,
! [A_85] : ( inverse(inverse(A_85)) = A_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_4593,c_5286]) ).
tff(c_5437,plain,
! [B_28,C_29] : ( divide(multiply(B_28,C_29),C_29) = B_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_5419,c_378]) ).
tff(c_5149,plain,
! [A_73,B_84,B_8] : ( divide(inverse(inverse(A_73)),divide(B_84,B_84)) = divide(A_73,divide(B_8,B_8)) ),
inference(superposition,[status(thm),theory(equality)],[c_4175,c_5061]) ).
tff(c_5264,plain,
! [A_73,B_8] : ( divide(A_73,divide(B_8,B_8)) = A_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_4593,c_5149]) ).
tff(c_359,plain,
! [A_27,C_29,B_8] : ( divide(inverse(divide(A_27,inverse(divide(inverse(A_27),C_29)))),C_29) = divide(B_8,B_8) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_282]) ).
tff(c_377,plain,
! [A_27,C_29,B_8] : ( divide(inverse(multiply(A_27,divide(inverse(A_27),C_29))),C_29) = divide(B_8,B_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_359]) ).
tff(c_49,plain,
! [B_13,A_14] : ( divide(inverse(divide(B_13,B_13)),A_14) = inverse(A_14) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_11]) ).
tff(c_83,plain,
! [B_8,A_14] : ( divide(inverse(inverse(divide(B_8,B_8))),A_14) = inverse(A_14) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_49]) ).
tff(c_2824,plain,
! [A_65,B_66,C_67,B_68] : ( divide(inverse(divide(divide(A_65,divide(B_66,divide(inverse(A_65),C_67))),divide(B_68,B_66))),C_67) = B_68 ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_282]) ).
tff(c_3102,plain,
! [B_66,B_8,C_67,B_68] : ( divide(inverse(divide(inverse(divide(B_66,divide(inverse(inverse(divide(B_8,B_8))),C_67))),divide(B_68,B_66))),C_67) = B_68 ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_2824]) ).
tff(c_8729,plain,
! [B_121,C_122,B_123] : ( divide(inverse(divide(inverse(multiply(B_121,C_122)),divide(B_123,B_121))),C_122) = B_123 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_83,c_3102]) ).
tff(c_8899,plain,
! [A_27,C_29,C_122,B_8] : ( inverse(multiply(A_27,divide(inverse(A_27),C_29))) = divide(inverse(divide(inverse(multiply(C_29,C_122)),divide(B_8,B_8))),C_122) ),
inference(superposition,[status(thm),theory(equality)],[c_377,c_8729]) ).
tff(c_13150,plain,
! [A_162,C_163] : ( inverse(multiply(A_162,divide(inverse(A_162),C_163))) = C_163 ),
inference(demodulation,[status(thm),theory(equality)],[c_5437,c_5419,c_5264,c_8899]) ).
tff(c_1177,plain,
! [A_47,C_48,B_49] : ( divide(inverse(multiply(A_47,divide(inverse(A_47),C_48))),C_48) = divide(B_49,B_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_359]) ).
tff(c_10350,plain,
! [B_135,C_136,B_137] : ( divide(inverse(multiply(inverse(multiply(B_135,C_136)),B_135)),C_136) = divide(B_137,B_137) ),
inference(superposition,[status(thm),theory(equality)],[c_378,c_1177]) ).
tff(c_299,plain,
! [A_1,B_2,C_3,B_28] : ( divide(inverse(divide(divide(A_1,divide(B_2,divide(inverse(A_1),C_3))),divide(B_28,B_2))),C_3) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_282]) ).
tff(c_10460,plain,
! [B_137,C_136,C_3,A_1,B_135] : ( inverse(multiply(inverse(multiply(B_135,C_136)),B_135)) = divide(inverse(divide(divide(A_1,divide(C_136,divide(inverse(A_1),C_3))),divide(B_137,B_137))),C_3) ),
inference(superposition,[status(thm),theory(equality)],[c_10350,c_299]) ).
tff(c_10718,plain,
! [B_135,C_136] : ( inverse(multiply(inverse(multiply(B_135,C_136)),B_135)) = C_136 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_5264,c_10460]) ).
tff(c_13165,plain,
! [A_162,C_163] : ( divide(inverse(A_162),C_163) = inverse(multiply(C_163,A_162)) ),
inference(superposition,[status(thm),theory(equality)],[c_13150,c_10718]) ).
tff(c_13207,plain,
! [A_162,C_163] : ( multiply(A_162,divide(inverse(A_162),C_163)) = inverse(C_163) ),
inference(superposition,[status(thm),theory(equality)],[c_13150,c_5419]) ).
tff(c_14639,plain,
! [A_162,C_163] : ( multiply(A_162,inverse(multiply(C_163,A_162))) = inverse(C_163) ),
inference(demodulation,[status(thm),theory(equality)],[c_13165,c_13207]) ).
tff(c_355,plain,
! [A_27,B_28,B_5] : ( multiply(inverse(divide(A_27,divide(B_28,divide(inverse(A_27),inverse(B_5))))),B_5) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_9,c_282]) ).
tff(c_451,plain,
! [A_34,B_35,B_36] : ( multiply(inverse(divide(A_34,divide(B_35,multiply(inverse(A_34),B_36)))),B_36) = B_35 ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_355]) ).
tff(c_464,plain,
! [A_34,B_35,B_36] : ( inverse(divide(A_34,divide(B_35,multiply(inverse(A_34),B_36)))) = divide(inverse(inverse(B_35)),B_36) ),
inference(superposition,[status(thm),theory(equality)],[c_451,c_378]) ).
tff(c_17805,plain,
! [A_199,B_200,B_201] : ( inverse(divide(A_199,divide(B_200,multiply(inverse(A_199),B_201)))) = divide(B_200,B_201) ),
inference(demodulation,[status(thm),theory(equality)],[c_5419,c_464]) ).
tff(c_18054,plain,
! [A_85,B_200,B_201] : ( inverse(divide(inverse(A_85),divide(B_200,multiply(A_85,B_201)))) = divide(B_200,B_201) ),
inference(superposition,[status(thm),theory(equality)],[c_5419,c_17805]) ).
tff(c_43354,plain,
! [B_331,A_332,B_333] : ( multiply(divide(B_331,multiply(A_332,B_333)),A_332) = divide(B_331,B_333) ),
inference(demodulation,[status(thm),theory(equality)],[c_5419,c_13165,c_18054]) ).
tff(c_43631,plain,
! [B_331,C_163,A_162] : ( multiply(divide(B_331,inverse(C_163)),A_162) = divide(B_331,inverse(multiply(C_163,A_162))) ),
inference(superposition,[status(thm),theory(equality)],[c_14639,c_43354]) ).
tff(c_43794,plain,
! [B_331,C_163,A_162] : ( multiply(multiply(B_331,C_163),A_162) = multiply(B_331,multiply(C_163,A_162)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9,c_9,c_43631]) ).
tff(c_8,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_47718,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43794,c_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP453-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n031.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 22:19:00 EDT 2023
% 0.14/0.36 % CPUTime :
% 17.13/7.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.21/7.14
% 17.21/7.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.21/7.18
% 17.21/7.18 Inference rules
% 17.21/7.18 ----------------------
% 17.21/7.18 #Ref : 0
% 17.21/7.18 #Sup : 12174
% 17.21/7.18 #Fact : 0
% 17.21/7.18 #Define : 0
% 17.21/7.18 #Split : 0
% 17.21/7.18 #Chain : 0
% 17.21/7.18 #Close : 0
% 17.21/7.18
% 17.21/7.18 Ordering : KBO
% 17.21/7.18
% 17.21/7.18 Simplification rules
% 17.21/7.18 ----------------------
% 17.21/7.18 #Subsume : 3097
% 17.21/7.18 #Demod : 20377
% 17.21/7.18 #Tautology : 3756
% 17.21/7.18 #SimpNegUnit : 0
% 17.21/7.18 #BackRed : 66
% 17.21/7.18
% 17.21/7.18 #Partial instantiations: 0
% 17.21/7.18 #Strategies tried : 1
% 17.21/7.18
% 17.21/7.18 Timing (in seconds)
% 17.21/7.18 ----------------------
% 17.21/7.18 Preprocessing : 0.41
% 17.21/7.18 Parsing : 0.22
% 17.21/7.18 CNF conversion : 0.02
% 17.21/7.18 Main loop : 5.69
% 17.21/7.18 Inferencing : 1.24
% 17.21/7.18 Reduction : 3.19
% 17.21/7.18 Demodulation : 2.94
% 17.21/7.18 BG Simplification : 0.15
% 17.21/7.18 Subsumption : 0.71
% 17.21/7.18 Abstraction : 0.29
% 17.21/7.18 MUC search : 0.00
% 17.21/7.18 Cooper : 0.00
% 17.21/7.18 Total : 6.16
% 17.21/7.18 Index Insertion : 0.00
% 17.21/7.18 Index Deletion : 0.00
% 17.21/7.18 Index Matching : 0.00
% 17.21/7.18 BG Taut test : 0.00
%------------------------------------------------------------------------------