TSTP Solution File: LCL056-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL056-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n005.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 10:47:16 EDT 2023
% Result : Unsatisfiable 47.86s 36.08s
% Output : CNFRefutation 47.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 25 unt; 4 typ; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 108 ( 55 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 161 (; 161 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(not,type,
not: $i > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_42,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file(unknown,unknown) ).
tff(f_40,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file(unknown,unknown) ).
tff(f_46,axiom,
~ is_a_theorem(implies(not(not(a)),a)),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_6] : is_a_theorem(implies(implies(not(X_6),X_6),X_6)),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_23,plain,
! [X_15,Y_16,Z_17] : is_a_theorem(implies(implies(X_15,Y_16),implies(implies(Y_16,Z_17),implies(X_15,Z_17)))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(implies(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_43,plain,
! [Y_20,Z_21,X_22] :
( is_a_theorem(implies(implies(Y_20,Z_21),implies(X_22,Z_21)))
| ~ is_a_theorem(implies(X_22,Y_20)) ),
inference(resolution,[status(thm)],[c_23,c_2]) ).
tff(c_49,plain,
! [X_24,Z_25,Y_26] :
( is_a_theorem(implies(X_24,Z_25))
| ~ is_a_theorem(implies(Y_26,Z_25))
| ~ is_a_theorem(implies(X_24,Y_26)) ),
inference(resolution,[status(thm)],[c_43,c_2]) ).
tff(c_87,plain,
! [X_33,X_34] :
( is_a_theorem(implies(X_33,X_34))
| ~ is_a_theorem(implies(X_33,implies(not(X_34),X_34))) ),
inference(resolution,[status(thm)],[c_6,c_49]) ).
tff(c_111,plain,
! [X_34] : is_a_theorem(implies(implies(not(implies(not(X_34),X_34)),implies(not(X_34),X_34)),X_34)),
inference(resolution,[status(thm)],[c_6,c_87]) ).
tff(c_8,plain,
! [X_7,Y_8] : is_a_theorem(implies(X_7,implies(not(X_7),Y_8))),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_74,plain,
! [X_30,X_31,Y_32] :
( is_a_theorem(implies(X_30,implies(not(X_31),Y_32)))
| ~ is_a_theorem(implies(X_30,X_31)) ),
inference(resolution,[status(thm)],[c_8,c_49]) ).
tff(c_47,plain,
! [X_22,Z_21,Y_20] :
( is_a_theorem(implies(X_22,Z_21))
| ~ is_a_theorem(implies(Y_20,Z_21))
| ~ is_a_theorem(implies(X_22,Y_20)) ),
inference(resolution,[status(thm)],[c_43,c_2]) ).
tff(c_967,plain,
! [X_105,X_106,Y_107,X_108] :
( is_a_theorem(implies(X_105,implies(not(X_106),Y_107)))
| ~ is_a_theorem(implies(X_105,X_108))
| ~ is_a_theorem(implies(X_108,X_106)) ),
inference(resolution,[status(thm)],[c_74,c_47]) ).
tff(c_1756,plain,
! [X_154,X_155,Y_156,Y_157] :
( is_a_theorem(implies(X_154,implies(not(X_155),Y_156)))
| ~ is_a_theorem(implies(implies(not(X_154),Y_157),X_155)) ),
inference(resolution,[status(thm)],[c_8,c_967]) ).
tff(c_1813,plain,
! [X_34,Y_156] : is_a_theorem(implies(implies(not(X_34),X_34),implies(not(X_34),Y_156))),
inference(resolution,[status(thm)],[c_111,c_1756]) ).
tff(c_27,plain,
! [Y_16,Z_17,X_15] :
( is_a_theorem(implies(implies(Y_16,Z_17),implies(X_15,Z_17)))
| ~ is_a_theorem(implies(X_15,Y_16)) ),
inference(resolution,[status(thm)],[c_23,c_2]) ).
tff(c_376,plain,
! [X_64,Y_65,X_66] :
( is_a_theorem(implies(not(X_64),Y_65))
| ~ is_a_theorem(X_66)
| ~ is_a_theorem(implies(X_66,X_64)) ),
inference(resolution,[status(thm)],[c_74,c_2]) ).
tff(c_11499,plain,
! [X_481,Z_482,Y_483,Y_484] :
( is_a_theorem(implies(not(implies(X_481,Z_482)),Y_483))
| ~ is_a_theorem(implies(Y_484,Z_482))
| ~ is_a_theorem(implies(X_481,Y_484)) ),
inference(resolution,[status(thm)],[c_27,c_376]) ).
tff(c_13201,plain,
! [X_517,X_518,Y_519] :
( is_a_theorem(implies(not(implies(X_517,X_518)),Y_519))
| ~ is_a_theorem(implies(X_517,implies(not(X_518),X_518))) ),
inference(resolution,[status(thm)],[c_6,c_11499]) ).
tff(c_16867,plain,
! [Y_581,Y_582] : is_a_theorem(implies(not(implies(implies(not(Y_581),Y_581),Y_581)),Y_582)),
inference(resolution,[status(thm)],[c_1813,c_13201]) ).
tff(c_13,plain,
! [Y_12,X_13] :
( is_a_theorem(Y_12)
| ~ is_a_theorem(X_13)
| ~ is_a_theorem(implies(X_13,Y_12)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_21,plain,
! [X_7,Y_8] :
( is_a_theorem(implies(not(X_7),Y_8))
| ~ is_a_theorem(X_7) ),
inference(resolution,[status(thm)],[c_8,c_13]) ).
tff(c_113,plain,
! [X_35,X_36,Z_37,Y_38] :
( is_a_theorem(implies(X_35,implies(X_36,Z_37)))
| ~ is_a_theorem(implies(X_35,implies(Y_38,Z_37)))
| ~ is_a_theorem(implies(X_36,Y_38)) ),
inference(resolution,[status(thm)],[c_27,c_49]) ).
tff(c_198,plain,
! [X_44,X_45,Y_46] :
( is_a_theorem(implies(X_44,implies(X_45,Y_46)))
| ~ is_a_theorem(implies(X_45,not(X_44))) ),
inference(resolution,[status(thm)],[c_8,c_113]) ).
tff(c_220,plain,
! [X_47,X_48,Y_49] :
( is_a_theorem(implies(X_47,implies(not(X_48),Y_49)))
| ~ is_a_theorem(X_48) ),
inference(resolution,[status(thm)],[c_21,c_198]) ).
tff(c_63,plain,
! [X_24,X_6] :
( is_a_theorem(implies(X_24,X_6))
| ~ is_a_theorem(implies(X_24,implies(not(X_6),X_6))) ),
inference(resolution,[status(thm)],[c_6,c_49]) ).
tff(c_241,plain,
! [X_50,Y_51] :
( is_a_theorem(implies(X_50,Y_51))
| ~ is_a_theorem(Y_51) ),
inference(resolution,[status(thm)],[c_220,c_63]) ).
tff(c_269,plain,
! [X_50,X_6] :
( is_a_theorem(implies(X_50,X_6))
| ~ is_a_theorem(implies(not(X_6),X_6)) ),
inference(resolution,[status(thm)],[c_241,c_63]) ).
tff(c_17113,plain,
! [X_583,Y_584] : is_a_theorem(implies(X_583,implies(implies(not(Y_584),Y_584),Y_584))),
inference(resolution,[status(thm)],[c_16867,c_269]) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(implies(implies(X_3,Y_4),implies(implies(Y_4,Z_5),implies(X_3,Z_5)))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_2016,plain,
! [X_167,Y_168,X_169,Z_170] :
( is_a_theorem(implies(implies(X_167,Y_168),implies(X_169,implies(X_167,Z_170))))
| ~ is_a_theorem(implies(X_169,implies(Y_168,Z_170))) ),
inference(resolution,[status(thm)],[c_4,c_113]) ).
tff(c_2055,plain,
! [X_167,Y_168,Z_170] :
( is_a_theorem(implies(implies(X_167,Y_168),implies(X_167,Z_170)))
| ~ is_a_theorem(implies(not(implies(X_167,Z_170)),implies(Y_168,Z_170))) ),
inference(resolution,[status(thm)],[c_2016,c_63]) ).
tff(c_17273,plain,
! [X_167,Y_584] : is_a_theorem(implies(implies(X_167,implies(not(Y_584),Y_584)),implies(X_167,Y_584))),
inference(resolution,[status(thm)],[c_17113,c_2055]) ).
tff(c_112,plain,
! [Y_8] : is_a_theorem(implies(Y_8,Y_8)),
inference(resolution,[status(thm)],[c_8,c_87]) ).
tff(c_317,plain,
! [X_57,Y_58,Z_59,X_60] :
( is_a_theorem(implies(X_57,implies(implies(Y_58,Z_59),implies(X_60,Z_59))))
| ~ is_a_theorem(implies(X_57,implies(X_60,Y_58))) ),
inference(resolution,[status(thm)],[c_4,c_49]) ).
tff(c_60,plain,
! [X_24,X_15,Z_17,Y_16] :
( is_a_theorem(implies(X_24,implies(X_15,Z_17)))
| ~ is_a_theorem(implies(X_24,implies(Y_16,Z_17)))
| ~ is_a_theorem(implies(X_15,Y_16)) ),
inference(resolution,[status(thm)],[c_27,c_49]) ).
tff(c_3457,plain,
! [X_245,X_248,Y_247,Z_249,X_246] :
( is_a_theorem(implies(X_245,implies(X_248,implies(X_246,Z_249))))
| ~ is_a_theorem(implies(X_248,implies(Y_247,Z_249)))
| ~ is_a_theorem(implies(X_245,implies(X_246,Y_247))) ),
inference(resolution,[status(thm)],[c_317,c_60]) ).
tff(c_7168,plain,
! [X_363,X_364,X_365,Y_366] :
( is_a_theorem(implies(X_363,implies(X_364,implies(X_365,Y_366))))
| ~ is_a_theorem(implies(X_363,implies(X_365,not(X_364)))) ),
inference(resolution,[status(thm)],[c_8,c_3457]) ).
tff(c_8300,plain,
! [X_397,X_398,Y_399] : is_a_theorem(implies(implies(X_397,not(X_398)),implies(X_398,implies(X_397,Y_399)))),
inference(resolution,[status(thm)],[c_112,c_7168]) ).
tff(c_1560,plain,
! [Y_141,Z_142,X_143,X_144] :
( is_a_theorem(implies(implies(Y_141,Z_142),implies(X_143,Z_142)))
| ~ is_a_theorem(implies(X_143,X_144))
| ~ is_a_theorem(implies(X_144,Y_141)) ),
inference(resolution,[status(thm)],[c_27,c_113]) ).
tff(c_1623,plain,
! [Y_141,Z_142,X_7,Y_8] :
( is_a_theorem(implies(implies(Y_141,Z_142),implies(X_7,Z_142)))
| ~ is_a_theorem(implies(implies(not(X_7),Y_8),Y_141)) ),
inference(resolution,[status(thm)],[c_8,c_1560]) ).
tff(c_147017,plain,
! [X_2150,X_2151,Y_2152,Z_2153] : is_a_theorem(implies(implies(implies(X_2150,implies(not(X_2151),Y_2152)),Z_2153),implies(X_2151,Z_2153))),
inference(resolution,[status(thm)],[c_8300,c_1623]) ).
tff(c_237,plain,
! [X_47,Y_49] :
( is_a_theorem(implies(X_47,Y_49))
| ~ is_a_theorem(Y_49) ),
inference(resolution,[status(thm)],[c_220,c_63]) ).
tff(c_177,plain,
! [Y_42,Z_43] :
( is_a_theorem(implies(implies(Y_42,Z_43),Z_43))
| ~ is_a_theorem(implies(not(Z_43),Y_42)) ),
inference(resolution,[status(thm)],[c_27,c_87]) ).
tff(c_602,plain,
! [Z_87,Y_88] :
( is_a_theorem(Z_87)
| ~ is_a_theorem(implies(Y_88,Z_87))
| ~ is_a_theorem(implies(not(Z_87),Y_88)) ),
inference(resolution,[status(thm)],[c_177,c_2]) ).
tff(c_654,plain,
! [Z_87,Y_49] :
( is_a_theorem(Z_87)
| ~ is_a_theorem(implies(Y_49,Z_87))
| ~ is_a_theorem(Y_49) ),
inference(resolution,[status(thm)],[c_237,c_602]) ).
tff(c_157505,plain,
! [X_2237,Z_2238,X_2239,Y_2240] :
( is_a_theorem(implies(X_2237,Z_2238))
| ~ is_a_theorem(implies(implies(X_2239,implies(not(X_2237),Y_2240)),Z_2238)) ),
inference(resolution,[status(thm)],[c_147017,c_654]) ).
tff(c_158670,plain,
! [Y_2241,X_2242] : is_a_theorem(implies(Y_2241,implies(X_2242,Y_2241))),
inference(resolution,[status(thm)],[c_17273,c_157505]) ).
tff(c_3582,plain,
! [X_245,X_7,X_246,Y_8] :
( is_a_theorem(implies(X_245,implies(X_7,implies(X_246,Y_8))))
| ~ is_a_theorem(implies(X_245,implies(X_246,not(X_7)))) ),
inference(resolution,[status(thm)],[c_8,c_3457]) ).
tff(c_162380,plain,
! [X_2270,X_2271,Y_2272] : is_a_theorem(implies(not(X_2270),implies(X_2270,implies(X_2271,Y_2272)))),
inference(resolution,[status(thm)],[c_158670,c_3582]) ).
tff(c_169011,plain,
! [X_2328,Y_2329] : is_a_theorem(implies(not(not(implies(X_2328,Y_2329))),implies(X_2328,Y_2329))),
inference(resolution,[status(thm)],[c_162380,c_63]) ).
tff(c_219,plain,
! [X_44,Y_46] : is_a_theorem(implies(X_44,implies(implies(not(not(X_44)),not(X_44)),Y_46))),
inference(resolution,[status(thm)],[c_6,c_198]) ).
tff(c_10160,plain,
! [X_450,Z_451,Y_452] :
( is_a_theorem(implies(X_450,Z_451))
| ~ is_a_theorem(implies(X_450,implies(Y_452,Z_451)))
| ~ is_a_theorem(implies(not(Z_451),Y_452)) ),
inference(resolution,[status(thm)],[c_177,c_47]) ).
tff(c_10375,plain,
! [X_44,Y_46] :
( is_a_theorem(implies(X_44,Y_46))
| ~ is_a_theorem(implies(not(Y_46),implies(not(not(X_44)),not(X_44)))) ),
inference(resolution,[status(thm)],[c_219,c_10160]) ).
tff(c_174766,plain,
! [X_2360] : is_a_theorem(implies(X_2360,not(implies(not(not(X_2360)),not(X_2360))))),
inference(resolution,[status(thm)],[c_169011,c_10375]) ).
tff(c_1821,plain,
! [X_154,Y_157,Y_156] : is_a_theorem(implies(X_154,implies(not(implies(not(X_154),Y_157)),Y_156))),
inference(resolution,[status(thm)],[c_112,c_1756]) ).
tff(c_10368,plain,
! [X_154,Y_156,Y_157] :
( is_a_theorem(implies(X_154,Y_156))
| ~ is_a_theorem(implies(not(Y_156),not(implies(not(X_154),Y_157)))) ),
inference(resolution,[status(thm)],[c_1821,c_10160]) ).
tff(c_175163,plain,
! [Y_156] : is_a_theorem(implies(not(not(Y_156)),Y_156)),
inference(resolution,[status(thm)],[c_174766,c_10368]) ).
tff(c_10,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_175287,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175163,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL056-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 13:23:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 47.86/36.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.86/36.09
% 47.86/36.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 47.86/36.14
% 47.86/36.14 Inference rules
% 47.86/36.14 ----------------------
% 47.86/36.14 #Ref : 0
% 47.86/36.14 #Sup : 41860
% 47.86/36.14 #Fact : 0
% 47.86/36.14 #Define : 0
% 47.86/36.14 #Split : 11
% 47.86/36.14 #Chain : 0
% 47.86/36.14 #Close : 0
% 47.86/36.14
% 47.86/36.14 Ordering : KBO
% 47.86/36.14
% 47.86/36.14 Simplification rules
% 47.86/36.14 ----------------------
% 47.86/36.14 #Subsume : 10947
% 47.86/36.14 #Demod : 4548
% 47.86/36.14 #Tautology : 4672
% 47.86/36.14 #SimpNegUnit : 0
% 47.86/36.14 #BackRed : 1
% 47.86/36.14
% 47.86/36.14 #Partial instantiations: 0
% 47.86/36.14 #Strategies tried : 1
% 47.86/36.14
% 47.86/36.14 Timing (in seconds)
% 47.86/36.14 ----------------------
% 47.86/36.15 Preprocessing : 0.38
% 47.86/36.15 Parsing : 0.21
% 47.86/36.15 CNF conversion : 0.02
% 47.86/36.15 Main loop : 34.66
% 47.86/36.15 Inferencing : 2.66
% 47.86/36.15 Reduction : 8.23
% 47.86/36.15 Demodulation : 6.15
% 47.86/36.15 BG Simplification : 0.17
% 47.86/36.15 Subsumption : 21.35
% 47.86/36.15 Abstraction : 0.26
% 47.86/36.15 MUC search : 0.00
% 47.86/36.15 Cooper : 0.00
% 47.86/36.15 Total : 35.11
% 47.86/36.15 Index Insertion : 0.00
% 47.86/36.15 Index Deletion : 0.00
% 47.86/36.15 Index Matching : 0.00
% 47.86/36.15 BG Taut test : 0.00
%------------------------------------------------------------------------------