TSTP Solution File: LCL199-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL199-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n007.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 33.66s 23.83s
% Output : CNFRefutation 33.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 53 ( 19 unt; 6 typ; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 4 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 114 (; 114 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #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(f_53,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X,Z,Y] :
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_86,axiom,
~ theorem(or(not(not(or(p,q))),not(p))),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_90,plain,
! [Y_37,Z_38,X_39] :
( ~ theorem(or(not(Y_37),Z_38))
| ~ axiom(or(not(X_39),Y_37))
| theorem(or(not(X_39),Z_38)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_333,plain,
! [X_81,Y_82,Z_83] :
( ~ axiom(or(not(X_81),Y_82))
| theorem(or(not(X_81),Z_83))
| ~ axiom(or(not(Y_82),Z_83)) ),
inference(resolution,[status(thm)],[c_12,c_90]) ).
tff(c_394,plain,
! [A_89,Z_90,B_91] :
( theorem(or(not(A_89),Z_90))
| ~ axiom(or(not(or(B_91,A_89)),Z_90)) ),
inference(resolution,[status(thm)],[c_4,c_333]) ).
tff(c_416,plain,
! [A_92] : theorem(or(not(A_92),A_92)),
inference(resolution,[status(thm)],[c_2,c_394]) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(or(not(or(A_4,B_5)),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_27,plain,
! [Y_24,X_25] :
( ~ theorem(Y_24)
| ~ axiom(or(not(Y_24),X_25))
| theorem(X_25) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_37,plain,
! [A_4,B_5] :
( ~ theorem(or(A_4,B_5))
| theorem(or(B_5,A_4)) ),
inference(resolution,[status(thm)],[c_6,c_27]) ).
tff(c_426,plain,
! [A_92] : theorem(or(A_92,not(A_92))),
inference(resolution,[status(thm)],[c_416,c_37]) ).
tff(c_39,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_27]) ).
tff(c_59,plain,
! [A_29,B_30,C_31] : axiom(or(not(or(A_29,or(B_30,C_31))),or(B_30,or(A_29,C_31)))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_14,plain,
! [Y_14,X_13] :
( ~ theorem(Y_14)
| ~ axiom(or(not(Y_14),X_13))
| theorem(X_13) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_125,plain,
! [A_45,B_46,C_47] :
( ~ theorem(or(A_45,or(B_46,C_47)))
| theorem(or(B_46,or(A_45,C_47))) ),
inference(resolution,[status(thm)],[c_59,c_14]) ).
tff(c_171,plain,
! [B_54,B_55,C_56] :
( theorem(or(B_54,or(B_55,C_56)))
| ~ theorem(or(B_54,C_56)) ),
inference(resolution,[status(thm)],[c_39,c_125]) ).
tff(c_16,plain,
! [Y_17,Z_16,X_15] :
( ~ theorem(or(not(Y_17),Z_16))
| ~ axiom(or(not(X_15),Y_17))
| theorem(or(not(X_15),Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_3697,plain,
! [X_491,Y_492,B_493,C_494] :
( ~ axiom(or(not(X_491),Y_492))
| theorem(or(not(X_491),or(B_493,C_494)))
| ~ theorem(or(not(Y_492),C_494)) ),
inference(resolution,[status(thm)],[c_171,c_16]) ).
tff(c_11159,plain,
! [A_1216,B_1217,B_1218,C_1219] :
( theorem(or(not(or(A_1216,B_1217)),or(B_1218,C_1219)))
| ~ theorem(or(not(or(B_1217,A_1216)),C_1219)) ),
inference(resolution,[status(thm)],[c_6,c_3697]) ).
tff(c_3712,plain,
! [A_2,B_493,C_494,B_3] :
( theorem(or(not(A_2),or(B_493,C_494)))
| ~ theorem(or(not(or(B_3,A_2)),C_494)) ),
inference(resolution,[status(thm)],[c_4,c_3697]) ).
tff(c_46804,plain,
! [B_4115,C_4116,B_4113,A_4114,B_4112] :
( theorem(or(not(B_4115),or(B_4112,or(B_4113,C_4116))))
| ~ theorem(or(not(or(B_4115,A_4114)),C_4116)) ),
inference(resolution,[status(thm)],[c_11159,c_3712]) ).
tff(c_49111,plain,
! [B_4122,B_4123,B_4124,A_4125] : theorem(or(not(B_4122),or(B_4123,or(B_4124,not(not(or(B_4122,A_4125))))))),
inference(resolution,[status(thm)],[c_426,c_46804]) ).
tff(c_63,plain,
! [A_29,B_30,C_31] :
( ~ theorem(or(A_29,or(B_30,C_31)))
| theorem(or(B_30,or(A_29,C_31))) ),
inference(resolution,[status(thm)],[c_59,c_14]) ).
tff(c_49241,plain,
! [B_4140,B_4141,B_4142,A_4143] : theorem(or(B_4140,or(not(B_4141),or(B_4142,not(not(or(B_4141,A_4143))))))),
inference(resolution,[status(thm)],[c_49111,c_63]) ).
tff(c_38,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_27]) ).
tff(c_49313,plain,
! [B_4144,B_4145,A_4146] : theorem(or(not(B_4144),or(B_4145,not(not(or(B_4144,A_4146)))))),
inference(resolution,[status(thm)],[c_49241,c_38]) ).
tff(c_49340,plain,
! [B_4147,B_4148,A_4149] : theorem(or(B_4147,or(not(B_4148),not(not(or(B_4148,A_4149)))))),
inference(resolution,[status(thm)],[c_49313,c_63]) ).
tff(c_185,plain,
! [B_55,C_56,B_54] :
( theorem(or(or(B_55,C_56),B_54))
| ~ theorem(or(B_54,C_56)) ),
inference(resolution,[status(thm)],[c_171,c_37]) ).
tff(c_232,plain,
! [B_62,C_63,B_64] :
( theorem(or(or(B_62,C_63),B_64))
| ~ theorem(or(B_64,C_63)) ),
inference(resolution,[status(thm)],[c_171,c_37]) ).
tff(c_8373,plain,
! [B_962,B_963,C_964,C_965] :
( theorem(or(B_962,or(or(B_963,C_964),C_965)))
| ~ theorem(or(or(B_962,C_965),C_964)) ),
inference(resolution,[status(thm)],[c_232,c_63]) ).
tff(c_30645,plain,
! [B_3138,C_3139,C_3140,B_3141] :
( theorem(or(or(or(B_3138,C_3139),C_3140),B_3141))
| ~ theorem(or(or(B_3141,C_3140),C_3139)) ),
inference(resolution,[status(thm)],[c_8373,c_37]) ).
tff(c_186,plain,
! [B_55,C_56] :
( theorem(or(B_55,C_56))
| ~ theorem(or(or(B_55,C_56),C_56)) ),
inference(resolution,[status(thm)],[c_171,c_38]) ).
tff(c_30684,plain,
! [B_3142,C_3143,B_3144] :
( theorem(or(or(B_3142,C_3143),B_3144))
| ~ theorem(or(or(B_3144,B_3144),C_3143)) ),
inference(resolution,[status(thm)],[c_30645,c_186]) ).
tff(c_33521,plain,
! [B_3201,B_3202,C_3203] :
( theorem(or(or(B_3201,B_3202),C_3203))
| ~ theorem(or(B_3202,C_3203)) ),
inference(resolution,[status(thm)],[c_185,c_30684]) ).
tff(c_33563,plain,
! [B_3201,B_3202] :
( theorem(or(B_3201,B_3202))
| ~ theorem(or(B_3202,or(B_3201,B_3202))) ),
inference(resolution,[status(thm)],[c_33521,c_38]) ).
tff(c_49479,plain,
! [B_4153,A_4154] : theorem(or(not(B_4153),not(not(or(B_4153,A_4154))))),
inference(resolution,[status(thm)],[c_49340,c_33563]) ).
tff(c_49501,plain,
! [B_4153,A_4154] : theorem(or(not(not(or(B_4153,A_4154))),not(B_4153))),
inference(resolution,[status(thm)],[c_49479,c_37]) ).
tff(c_18,plain,
~ theorem(or(not(not(or(p,q))),not(p))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_49505,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49501,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL199-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n007.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 13:22:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 33.66/23.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.66/23.84
% 33.66/23.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.66/23.88
% 33.66/23.88 Inference rules
% 33.66/23.88 ----------------------
% 33.66/23.88 #Ref : 0
% 33.66/23.88 #Sup : 10951
% 33.66/23.88 #Fact : 0
% 33.66/23.88 #Define : 0
% 33.66/23.88 #Split : 0
% 33.66/23.88 #Chain : 0
% 33.66/23.88 #Close : 0
% 33.66/23.88
% 33.66/23.88 Ordering : KBO
% 33.66/23.88
% 33.66/23.88 Simplification rules
% 33.66/23.88 ----------------------
% 33.66/23.88 #Subsume : 822
% 33.66/23.88 #Demod : 4392
% 33.66/23.88 #Tautology : 4397
% 33.66/23.88 #SimpNegUnit : 0
% 33.66/23.88 #BackRed : 1
% 33.66/23.88
% 33.66/23.88 #Partial instantiations: 0
% 33.66/23.88 #Strategies tried : 1
% 33.66/23.88
% 33.66/23.88 Timing (in seconds)
% 33.66/23.88 ----------------------
% 33.66/23.88 Preprocessing : 0.45
% 33.66/23.88 Parsing : 0.25
% 33.66/23.88 CNF conversion : 0.02
% 33.66/23.88 Main loop : 22.34
% 33.66/23.88 Inferencing : 3.47
% 33.66/23.88 Reduction : 8.88
% 33.66/23.88 Demodulation : 7.64
% 33.66/23.88 BG Simplification : 0.07
% 33.66/23.88 Subsumption : 8.98
% 33.66/23.88 Abstraction : 0.12
% 33.66/23.88 MUC search : 0.00
% 33.66/23.88 Cooper : 0.00
% 33.66/23.88 Total : 22.85
% 33.66/23.88 Index Insertion : 0.00
% 33.66/23.88 Index Deletion : 0.00
% 33.66/23.88 Index Matching : 0.00
% 33.66/23.88 BG Taut test : 0.00
%------------------------------------------------------------------------------