TSTP Solution File: LCL180-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL180-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : n018.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 10:47:34 EDT 2023
% Result : Unsatisfiable 13.85s 5.21s
% Output : CNFRefutation 14.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 73 ( 29 unt; 6 typ; 0 def)
% Number of atoms : 116 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 51 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 5 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 144 (; 144 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > #nlpp > not > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(theorem,type,
theorem: $i > $o ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(axiom,type,
axiom: $i > $o ).
tff(p,type,
p: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_48,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : ( implies(X,Y) = or(not(X),Y) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A] : axiom(implies(or(A,A),A)),
file(unknown,unknown) ).
tff(f_54,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file(unknown,unknown) ).
tff(f_77,axiom,
~ theorem(implies(not(not(p)),p)),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(implies(A_2,or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_14,plain,
! [X_14] :
( ~ axiom(X_14)
| theorem(X_14) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_12,plain,
! [X_12,Y_13] : ( or(not(X_12),Y_13) = implies(X_12,Y_13) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_55,plain,
! [A_29,B_30,C_31] : axiom(implies(or(A_29,or(B_30,C_31)),or(B_30,or(A_29,C_31)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_65,plain,
! [X_12,B_30,Y_13] : axiom(implies(or(not(X_12),or(B_30,Y_13)),or(B_30,implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_55]) ).
tff(c_482,plain,
! [X_104,B_105,Y_106] : axiom(implies(implies(X_104,or(B_105,Y_106)),or(B_105,implies(X_104,Y_106)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_65]) ).
tff(c_50,plain,
! [Y_27,X_28] :
( ~ theorem(Y_27)
| ~ theorem(implies(Y_27,X_28))
| theorem(X_28) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_54,plain,
! [Y_27,X_28] :
( ~ theorem(Y_27)
| theorem(X_28)
| ~ axiom(implies(Y_27,X_28)) ),
inference(resolution,[status(thm)],[c_14,c_50]) ).
tff(c_493,plain,
! [X_104,B_105,Y_106] :
( ~ theorem(implies(X_104,or(B_105,Y_106)))
| theorem(or(B_105,implies(X_104,Y_106))) ),
inference(resolution,[status(thm)],[c_482,c_54]) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(implies(or(A_4,B_5),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_75,plain,
! [Y_33,X_34] :
( ~ theorem(Y_33)
| theorem(X_34)
| ~ axiom(implies(Y_33,X_34)) ),
inference(resolution,[status(thm)],[c_14,c_50]) ).
tff(c_99,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_75]) ).
tff(c_8,plain,
! [A_6,B_7,C_8] : axiom(implies(or(A_6,or(B_7,C_8)),or(B_7,or(A_6,C_8)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_343,plain,
! [A_77,B_78,C_79] :
( ~ theorem(or(A_77,or(B_78,C_79)))
| theorem(or(B_78,or(A_77,C_79))) ),
inference(resolution,[status(thm)],[c_8,c_75]) ).
tff(c_496,plain,
! [B_107,B_108,C_109] :
( theorem(or(B_107,or(B_108,C_109)))
| ~ theorem(or(B_107,C_109)) ),
inference(resolution,[status(thm)],[c_99,c_343]) ).
tff(c_511,plain,
! [X_12,B_108,C_109] :
( theorem(implies(X_12,or(B_108,C_109)))
| ~ theorem(or(not(X_12),C_109)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_496]) ).
tff(c_552,plain,
! [X_116,B_117,C_118] :
( theorem(implies(X_116,or(B_117,C_118)))
| ~ theorem(implies(X_116,C_118)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_511]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ theorem(Y_16)
| ~ theorem(implies(Y_16,X_15))
| theorem(X_15) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_814,plain,
! [X_134,B_135,C_136] :
( ~ theorem(X_134)
| theorem(or(B_135,C_136))
| ~ theorem(implies(X_134,C_136)) ),
inference(resolution,[status(thm)],[c_552,c_16]) ).
tff(c_978,plain,
! [X_160,B_161,C_162] :
( ~ theorem(X_160)
| theorem(or(B_161,C_162))
| ~ axiom(implies(X_160,C_162)) ),
inference(resolution,[status(thm)],[c_14,c_814]) ).
tff(c_1312,plain,
! [A_194,B_195,B_196] :
( ~ theorem(or(A_194,B_195))
| theorem(or(B_196,or(B_195,A_194))) ),
inference(resolution,[status(thm)],[c_6,c_978]) ).
tff(c_95,plain,
! [A_6,B_7,C_8] :
( ~ theorem(or(A_6,or(B_7,C_8)))
| theorem(or(B_7,or(A_6,C_8))) ),
inference(resolution,[status(thm)],[c_8,c_75]) ).
tff(c_1422,plain,
! [B_210,B_211,A_212] :
( theorem(or(B_210,or(B_211,A_212)))
| ~ theorem(or(A_212,B_210)) ),
inference(resolution,[status(thm)],[c_1312,c_95]) ).
tff(c_2,plain,
! [A_1] : axiom(implies(or(A_1,A_1),A_1)),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_98,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_75]) ).
tff(c_1698,plain,
! [B_244,A_245] :
( theorem(or(B_244,A_245))
| ~ theorem(or(A_245,or(B_244,A_245))) ),
inference(resolution,[status(thm)],[c_1422,c_98]) ).
tff(c_1781,plain,
! [X_12,Y_13] :
( theorem(or(not(X_12),Y_13))
| ~ theorem(or(Y_13,implies(X_12,Y_13))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1698]) ).
tff(c_1852,plain,
! [X_249,Y_250] :
( theorem(implies(X_249,Y_250))
| ~ theorem(or(Y_250,implies(X_249,Y_250))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1781]) ).
tff(c_2047,plain,
! [X_259,Y_260] :
( theorem(implies(X_259,Y_260))
| ~ theorem(implies(X_259,or(Y_260,Y_260))) ),
inference(resolution,[status(thm)],[c_493,c_1852]) ).
tff(c_2131,plain,
! [X_263,Y_264] :
( theorem(implies(X_263,Y_264))
| ~ axiom(implies(X_263,or(Y_264,Y_264))) ),
inference(resolution,[status(thm)],[c_14,c_2047]) ).
tff(c_2166,plain,
! [A_265] : theorem(implies(A_265,A_265)),
inference(resolution,[status(thm)],[c_4,c_2131]) ).
tff(c_43,plain,
! [A_25,B_26] : axiom(implies(or(A_25,B_26),or(B_26,A_25))),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_228,plain,
! [X_58,Y_59] : axiom(implies(implies(X_58,Y_59),or(Y_59,not(X_58)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_43]) ).
tff(c_276,plain,
! [X_65,Y_66] :
( ~ theorem(implies(X_65,Y_66))
| theorem(or(Y_66,not(X_65))) ),
inference(resolution,[status(thm)],[c_228,c_54]) ).
tff(c_289,plain,
! [X_65,X_12] :
( ~ theorem(implies(X_65,not(X_12)))
| theorem(implies(X_12,not(X_65))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_276]) ).
tff(c_2184,plain,
! [X_12] : theorem(implies(X_12,not(not(X_12)))),
inference(resolution,[status(thm)],[c_2166,c_289]) ).
tff(c_113,plain,
! [A_37,B_38,C_39] : axiom(implies(implies(A_37,B_38),implies(or(C_39,A_37),or(C_39,B_38)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_122,plain,
! [A_37,Y_13,X_12] : axiom(implies(implies(A_37,Y_13),implies(or(not(X_12),A_37),implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_113]) ).
tff(c_440,plain,
! [A_91,Y_92,X_93] : axiom(implies(implies(A_91,Y_92),implies(implies(X_93,A_91),implies(X_93,Y_92)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_122]) ).
tff(c_1498,plain,
! [A_216,Y_217,X_218] :
( ~ theorem(implies(A_216,Y_217))
| theorem(implies(implies(X_218,A_216),implies(X_218,Y_217))) ),
inference(resolution,[status(thm)],[c_440,c_54]) ).
tff(c_2802,plain,
! [X_295,A_296,Y_297] :
( ~ theorem(implies(X_295,A_296))
| theorem(implies(X_295,Y_297))
| ~ theorem(implies(A_296,Y_297)) ),
inference(resolution,[status(thm)],[c_1498,c_16]) ).
tff(c_7587,plain,
! [X_593,Y_594,A_595] :
( theorem(implies(X_593,Y_594))
| ~ theorem(implies(A_595,Y_594))
| ~ axiom(implies(X_593,A_595)) ),
inference(resolution,[status(thm)],[c_14,c_2802]) ).
tff(c_15975,plain,
! [X_848,Y_849,A_850] :
( theorem(implies(X_848,Y_849))
| ~ axiom(implies(X_848,A_850))
| ~ axiom(implies(A_850,Y_849)) ),
inference(resolution,[status(thm)],[c_14,c_7587]) ).
tff(c_16888,plain,
! [A_873,Y_874,B_875] :
( theorem(implies(A_873,Y_874))
| ~ axiom(implies(or(B_875,A_873),Y_874)) ),
inference(resolution,[status(thm)],[c_4,c_15975]) ).
tff(c_16918,plain,
! [B_5,A_4] : theorem(implies(B_5,or(B_5,A_4))),
inference(resolution,[status(thm)],[c_6,c_16888]) ).
tff(c_236,plain,
! [X_58,Y_59] :
( ~ theorem(implies(X_58,Y_59))
| theorem(or(Y_59,not(X_58))) ),
inference(resolution,[status(thm)],[c_228,c_54]) ).
tff(c_560,plain,
! [B_119,C_120] :
( theorem(or(B_119,C_120))
| ~ theorem(or(or(B_119,C_120),C_120)) ),
inference(resolution,[status(thm)],[c_496,c_98]) ).
tff(c_19156,plain,
! [B_930,X_931] :
( theorem(or(B_930,not(X_931)))
| ~ theorem(implies(X_931,or(B_930,not(X_931)))) ),
inference(resolution,[status(thm)],[c_236,c_560]) ).
tff(c_19314,plain,
! [B_932] : theorem(or(B_932,not(B_932))),
inference(resolution,[status(thm)],[c_16918,c_19156]) ).
tff(c_1679,plain,
! [A_241,B_242,C_243] :
( ~ theorem(implies(A_241,B_242))
| theorem(implies(or(C_243,A_241),or(C_243,B_242))) ),
inference(resolution,[status(thm)],[c_113,c_54]) ).
tff(c_1695,plain,
! [C_243,A_241,B_242] :
( ~ theorem(or(C_243,A_241))
| theorem(or(C_243,B_242))
| ~ theorem(implies(A_241,B_242)) ),
inference(resolution,[status(thm)],[c_1679,c_16]) ).
tff(c_21871,plain,
! [B_1002,B_1003] :
( theorem(or(B_1002,B_1003))
| ~ theorem(implies(not(B_1002),B_1003)) ),
inference(resolution,[status(thm)],[c_19314,c_1695]) ).
tff(c_23088,plain,
! [B_1033] : theorem(or(B_1033,not(not(not(B_1033))))),
inference(resolution,[status(thm)],[c_2184,c_21871]) ).
tff(c_185,plain,
! [Y_50,X_51] : axiom(implies(or(Y_50,not(X_51)),implies(X_51,Y_50))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_43]) ).
tff(c_193,plain,
! [Y_50,X_51] :
( ~ theorem(or(Y_50,not(X_51)))
| theorem(implies(X_51,Y_50)) ),
inference(resolution,[status(thm)],[c_185,c_54]) ).
tff(c_23105,plain,
! [B_1033] : theorem(implies(not(not(B_1033)),B_1033)),
inference(resolution,[status(thm)],[c_23088,c_193]) ).
tff(c_18,plain,
~ theorem(implies(not(not(p)),p)),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_23112,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23105,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL180-3 : TPTP v8.1.2. Released v2.3.0.
% 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
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 14:08:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 13.85/5.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.85/5.22
% 13.85/5.22 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.04/5.26
% 14.04/5.26 Inference rules
% 14.04/5.26 ----------------------
% 14.04/5.26 #Ref : 0
% 14.04/5.26 #Sup : 5413
% 14.04/5.26 #Fact : 0
% 14.04/5.26 #Define : 0
% 14.04/5.26 #Split : 3
% 14.04/5.26 #Chain : 0
% 14.04/5.26 #Close : 0
% 14.04/5.26
% 14.04/5.26 Ordering : KBO
% 14.04/5.26
% 14.04/5.26 Simplification rules
% 14.04/5.26 ----------------------
% 14.04/5.26 #Subsume : 2627
% 14.04/5.26 #Demod : 828
% 14.04/5.26 #Tautology : 607
% 14.04/5.26 #SimpNegUnit : 583
% 14.04/5.26 #BackRed : 192
% 14.04/5.26
% 14.04/5.26 #Partial instantiations: 0
% 14.04/5.26 #Strategies tried : 1
% 14.04/5.26
% 14.04/5.26 Timing (in seconds)
% 14.04/5.26 ----------------------
% 14.04/5.26 Preprocessing : 0.41
% 14.04/5.26 Parsing : 0.23
% 14.04/5.27 CNF conversion : 0.02
% 14.04/5.27 Main loop : 3.74
% 14.04/5.27 Inferencing : 0.95
% 14.04/5.27 Reduction : 0.92
% 14.04/5.27 Demodulation : 0.63
% 14.04/5.27 BG Simplification : 0.05
% 14.04/5.27 Subsumption : 1.55
% 14.04/5.27 Abstraction : 0.06
% 14.04/5.27 MUC search : 0.00
% 14.04/5.27 Cooper : 0.00
% 14.04/5.27 Total : 4.22
% 14.04/5.27 Index Insertion : 0.00
% 14.04/5.27 Index Deletion : 0.00
% 14.04/5.27 Index Matching : 0.00
% 14.04/5.27 BG Taut test : 0.00
%------------------------------------------------------------------------------