TSTP Solution File: LCL199-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL199-3 : 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/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 : 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 10:47:38 EDT 2023
% Result : Unsatisfiable 22.08s 11.46s
% Output : CNFRefutation 22.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 28 unt; 7 typ; 0 def)
% Number of atoms : 93 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 40 ~; 38 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 117 (; 117 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > #nlpp > not > q > 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(q,type,
q: $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_54,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A] : axiom(implies(or(A,A),A)),
file(unknown,unknown) ).
tff(f_77,axiom,
~ theorem(implies(not(or(p,q)),not(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_107,plain,
! [A_37,B_38,C_39] : axiom(implies(or(A_37,or(B_38,C_39)),or(B_38,or(A_37,C_39)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_120,plain,
! [X_12,B_38,Y_13] : axiom(implies(or(not(X_12),or(B_38,Y_13)),or(B_38,implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_107]) ).
tff(c_378,plain,
! [X_83,B_84,Y_85] : axiom(implies(implies(X_83,or(B_84,Y_85)),or(B_84,implies(X_83,Y_85)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_120]) ).
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_389,plain,
! [X_83,B_84,Y_85] :
( ~ theorem(implies(X_83,or(B_84,Y_85)))
| theorem(or(B_84,implies(X_83,Y_85))) ),
inference(resolution,[status(thm)],[c_378,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_22,plain,
! [X_21,Y_22] : ( or(not(X_21),Y_22) = implies(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_32,plain,
! [Y_22,X_21] : axiom(implies(Y_22,implies(X_21,Y_22))),
inference(superposition,[status(thm),theory(equality)],[c_22,c_4]) ).
tff(c_64,plain,
! [Y_32,X_33] :
( ~ theorem(Y_32)
| theorem(X_33)
| ~ axiom(implies(Y_32,X_33)) ),
inference(resolution,[status(thm)],[c_14,c_50]) ).
tff(c_82,plain,
! [Y_22,X_21] :
( ~ theorem(Y_22)
| theorem(implies(X_21,Y_22)) ),
inference(resolution,[status(thm)],[c_32,c_64]) ).
tff(c_55,plain,
! [A_29,B_30,C_31] : axiom(implies(implies(A_29,B_30),implies(or(C_31,A_29),or(C_31,B_30)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_58,plain,
! [Y_13,B_30,X_12] : axiom(implies(implies(Y_13,B_30),implies(implies(X_12,Y_13),or(not(X_12),B_30)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_55]) ).
tff(c_262,plain,
! [Y_62,B_63,X_64] : axiom(implies(implies(Y_62,B_63),implies(implies(X_64,Y_62),implies(X_64,B_63)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_58]) ).
tff(c_413,plain,
! [Y_92,B_93,X_94] :
( ~ theorem(implies(Y_92,B_93))
| theorem(implies(implies(X_94,Y_92),implies(X_94,B_93))) ),
inference(resolution,[status(thm)],[c_262,c_54]) ).
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_1045,plain,
! [X_169,Y_170,B_171] :
( ~ theorem(implies(X_169,Y_170))
| theorem(implies(X_169,B_171))
| ~ theorem(implies(Y_170,B_171)) ),
inference(resolution,[status(thm)],[c_413,c_16]) ).
tff(c_1077,plain,
! [X_172,B_173,Y_174] :
( theorem(implies(X_172,B_173))
| ~ theorem(implies(Y_174,B_173))
| ~ theorem(Y_174) ),
inference(resolution,[status(thm)],[c_82,c_1045]) ).
tff(c_1109,plain,
! [X_175,B_176,Y_177] :
( theorem(implies(X_175,B_176))
| ~ theorem(Y_177)
| ~ axiom(implies(Y_177,B_176)) ),
inference(resolution,[status(thm)],[c_14,c_1077]) ).
tff(c_1148,plain,
! [X_175,B_5,A_4] :
( theorem(implies(X_175,or(B_5,A_4)))
| ~ theorem(or(A_4,B_5)) ),
inference(resolution,[status(thm)],[c_6,c_1109]) ).
tff(c_418,plain,
! [X_95,B_96,Y_97] :
( ~ theorem(implies(X_95,or(B_96,Y_97)))
| theorem(or(B_96,implies(X_95,Y_97))) ),
inference(resolution,[status(thm)],[c_378,c_54]) ).
tff(c_2,plain,
! [A_1] : axiom(implies(or(A_1,A_1),A_1)),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_83,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_64]) ).
tff(c_1488,plain,
! [X_218,Y_219] :
( theorem(implies(X_218,Y_219))
| ~ theorem(implies(X_218,or(implies(X_218,Y_219),Y_219))) ),
inference(resolution,[status(thm)],[c_418,c_83]) ).
tff(c_1562,plain,
! [X_224,A_225] :
( theorem(implies(X_224,A_225))
| ~ theorem(or(A_225,implies(X_224,A_225))) ),
inference(resolution,[status(thm)],[c_1148,c_1488]) ).
tff(c_1722,plain,
! [X_232,Y_233] :
( theorem(implies(X_232,Y_233))
| ~ theorem(implies(X_232,or(Y_233,Y_233))) ),
inference(resolution,[status(thm)],[c_389,c_1562]) ).
tff(c_1985,plain,
! [X_249,Y_250] :
( theorem(implies(X_249,Y_250))
| ~ axiom(implies(X_249,or(Y_250,Y_250))) ),
inference(resolution,[status(thm)],[c_14,c_1722]) ).
tff(c_2020,plain,
! [A_251] : theorem(implies(A_251,A_251)),
inference(resolution,[status(thm)],[c_4,c_1985]) ).
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_267,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_280,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_267]) ).
tff(c_2045,plain,
! [X_12] : theorem(implies(X_12,not(not(X_12)))),
inference(resolution,[status(thm)],[c_2020,c_280]) ).
tff(c_6710,plain,
! [X_486,B_487,Y_488] :
( theorem(implies(X_486,B_487))
| ~ theorem(implies(Y_488,B_487))
| ~ axiom(implies(X_486,Y_488)) ),
inference(resolution,[status(thm)],[c_14,c_1045]) ).
tff(c_14617,plain,
! [X_828,B_829,Y_830] :
( theorem(implies(X_828,B_829))
| ~ axiom(implies(X_828,Y_830))
| ~ axiom(implies(Y_830,B_829)) ),
inference(resolution,[status(thm)],[c_14,c_6710]) ).
tff(c_19277,plain,
! [A_946,B_947,B_948] :
( theorem(implies(A_946,B_947))
| ~ axiom(implies(or(B_948,A_946),B_947)) ),
inference(resolution,[status(thm)],[c_4,c_14617]) ).
tff(c_19313,plain,
! [B_949,A_950] : theorem(implies(B_949,or(B_949,A_950))),
inference(resolution,[status(thm)],[c_6,c_19277]) ).
tff(c_417,plain,
! [X_94,Y_92,B_93] :
( ~ theorem(implies(X_94,Y_92))
| theorem(implies(X_94,B_93))
| ~ theorem(implies(Y_92,B_93)) ),
inference(resolution,[status(thm)],[c_413,c_16]) ).
tff(c_45598,plain,
! [B_1701,B_1702,A_1703] :
( theorem(implies(B_1701,B_1702))
| ~ theorem(implies(or(B_1701,A_1703),B_1702)) ),
inference(resolution,[status(thm)],[c_19313,c_417]) ).
tff(c_48388,plain,
! [B_1763,A_1764] : theorem(implies(B_1763,not(not(or(B_1763,A_1764))))),
inference(resolution,[status(thm)],[c_2045,c_45598]) ).
tff(c_48586,plain,
! [B_1763,A_1764] : theorem(implies(not(or(B_1763,A_1764)),not(B_1763))),
inference(resolution,[status(thm)],[c_48388,c_280]) ).
tff(c_18,plain,
~ theorem(implies(not(or(p,q)),not(p))),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_49634,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48586,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL199-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 13:23:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 22.08/11.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.08/11.47
% 22.08/11.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.18/11.50
% 22.18/11.50 Inference rules
% 22.18/11.50 ----------------------
% 22.18/11.50 #Ref : 0
% 22.18/11.50 #Sup : 11970
% 22.18/11.50 #Fact : 0
% 22.18/11.50 #Define : 0
% 22.18/11.50 #Split : 3
% 22.18/11.50 #Chain : 0
% 22.18/11.50 #Close : 0
% 22.18/11.50
% 22.18/11.50 Ordering : KBO
% 22.18/11.50
% 22.18/11.50 Simplification rules
% 22.18/11.50 ----------------------
% 22.18/11.50 #Subsume : 3508
% 22.18/11.50 #Demod : 2497
% 22.18/11.50 #Tautology : 2017
% 22.18/11.50 #SimpNegUnit : 299
% 22.18/11.50 #BackRed : 101
% 22.18/11.50
% 22.18/11.50 #Partial instantiations: 0
% 22.18/11.50 #Strategies tried : 1
% 22.18/11.50
% 22.18/11.50 Timing (in seconds)
% 22.18/11.50 ----------------------
% 22.18/11.51 Preprocessing : 0.42
% 22.18/11.51 Parsing : 0.24
% 22.18/11.51 CNF conversion : 0.02
% 22.18/11.51 Main loop : 9.95
% 22.18/11.51 Inferencing : 1.66
% 22.18/11.51 Reduction : 3.15
% 22.18/11.51 Demodulation : 2.29
% 22.18/11.51 BG Simplification : 0.07
% 22.18/11.51 Subsumption : 4.48
% 22.18/11.51 Abstraction : 0.10
% 22.18/11.51 MUC search : 0.00
% 22.18/11.51 Cooper : 0.00
% 22.18/11.51 Total : 10.44
% 22.18/11.51 Index Insertion : 0.00
% 22.18/11.51 Index Deletion : 0.00
% 22.18/11.51 Index Matching : 0.00
% 22.18/11.51 BG Taut test : 0.00
%------------------------------------------------------------------------------