TSTP Solution File: LCL257-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL257-1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n027.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 10:47:50 EDT 2023
% Result : Unsatisfiable 9.95s 3.53s
% Output : CNFRefutation 9.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 16 unt; 5 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 82 (; 82 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > equivalent > #nlpp > z > y > x
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(x,type,
x: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(y,type,
y: $i ).
tff(z,type,
z: $i ).
tff(equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(f_37,axiom,
! [X,Y,Z] : is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_40,axiom,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(equivalent(equivalent(X_3,Y_4),equivalent(equivalent(Z_5,Y_4),equivalent(X_3,Z_5)))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_8,plain,
! [X_8,Y_9,Z_10] : is_a_theorem(equivalent(equivalent(X_8,Y_9),equivalent(equivalent(Z_10,Y_9),equivalent(X_8,Z_10)))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(equivalent(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_13,plain,
! [Z_11,Y_12,X_13] :
( is_a_theorem(equivalent(equivalent(Z_11,Y_12),equivalent(X_13,Z_11)))
| ~ is_a_theorem(equivalent(X_13,Y_12)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_18,plain,
! [X_14,Z_15,Y_16] :
( is_a_theorem(equivalent(X_14,Z_15))
| ~ is_a_theorem(equivalent(Z_15,Y_16))
| ~ is_a_theorem(equivalent(X_14,Y_16)) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_32,plain,
! [X_21,X_22,Y_23,Z_24] :
( is_a_theorem(equivalent(X_21,equivalent(X_22,Y_23)))
| ~ is_a_theorem(equivalent(X_21,equivalent(equivalent(Z_24,Y_23),equivalent(X_22,Z_24)))) ),
inference(resolution,[status(thm)],[c_4,c_18]) ).
tff(c_41,plain,
! [X_3,Y_4] : is_a_theorem(equivalent(equivalent(X_3,Y_4),equivalent(X_3,Y_4))),
inference(resolution,[status(thm)],[c_4,c_32]) ).
tff(c_42,plain,
! [X_25,Y_26] : is_a_theorem(equivalent(equivalent(X_25,Y_26),equivalent(X_25,Y_26))),
inference(resolution,[status(thm)],[c_4,c_32]) ).
tff(c_24,plain,
! [X_14,X_3,Y_4,Z_5] :
( is_a_theorem(equivalent(X_14,equivalent(X_3,Y_4)))
| ~ is_a_theorem(equivalent(X_14,equivalent(equivalent(Z_5,Y_4),equivalent(X_3,Z_5)))) ),
inference(resolution,[status(thm)],[c_4,c_18]) ).
tff(c_58,plain,
! [Z_27,Y_28,X_29] : is_a_theorem(equivalent(equivalent(equivalent(Z_27,Y_28),equivalent(X_29,Z_27)),equivalent(X_29,Y_28))),
inference(resolution,[status(thm)],[c_42,c_24]) ).
tff(c_74,plain,
! [X_30,Y_31,Z_32] :
( is_a_theorem(equivalent(X_30,Y_31))
| ~ is_a_theorem(equivalent(equivalent(Z_32,Y_31),equivalent(X_30,Z_32))) ),
inference(resolution,[status(thm)],[c_58,c_2]) ).
tff(c_82,plain,
! [Y_4] : is_a_theorem(equivalent(Y_4,Y_4)),
inference(resolution,[status(thm)],[c_41,c_74]) ).
tff(c_12,plain,
! [Z_10,Y_9,X_8] :
( is_a_theorem(equivalent(equivalent(Z_10,Y_9),equivalent(X_8,Z_10)))
| ~ is_a_theorem(equivalent(X_8,Y_9)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_164,plain,
! [X_44,Z_45,Y_46,Y_47] :
( is_a_theorem(equivalent(equivalent(equivalent(X_44,Z_45),Y_46),equivalent(X_44,Y_47)))
| ~ is_a_theorem(equivalent(equivalent(Z_45,Y_47),Y_46)) ),
inference(resolution,[status(thm)],[c_12,c_32]) ).
tff(c_73,plain,
! [X_29,Y_28,Z_27] :
( is_a_theorem(equivalent(X_29,Y_28))
| ~ is_a_theorem(equivalent(equivalent(Z_27,Y_28),equivalent(X_29,Z_27))) ),
inference(resolution,[status(thm)],[c_58,c_2]) ).
tff(c_191,plain,
! [X_48,Y_49,Z_50] :
( is_a_theorem(equivalent(X_48,Y_49))
| ~ is_a_theorem(equivalent(equivalent(Z_50,equivalent(X_48,Z_50)),Y_49)) ),
inference(resolution,[status(thm)],[c_164,c_73]) ).
tff(c_217,plain,
! [X_51,Z_52] : is_a_theorem(equivalent(X_51,equivalent(Z_52,equivalent(X_51,Z_52)))),
inference(resolution,[status(thm)],[c_82,c_191]) ).
tff(c_238,plain,
! [Z_52,X_51] :
( is_a_theorem(equivalent(Z_52,equivalent(X_51,Z_52)))
| ~ is_a_theorem(X_51) ),
inference(resolution,[status(thm)],[c_217,c_2]) ).
tff(c_302,plain,
! [X_57,X_58,Z_59] :
( is_a_theorem(equivalent(X_57,equivalent(X_58,Z_59)))
| ~ is_a_theorem(equivalent(X_58,equivalent(X_57,Z_59))) ),
inference(resolution,[status(thm)],[c_12,c_191]) ).
tff(c_324,plain,
! [X_51,Z_52] :
( is_a_theorem(equivalent(X_51,equivalent(Z_52,Z_52)))
| ~ is_a_theorem(X_51) ),
inference(resolution,[status(thm)],[c_238,c_302]) ).
tff(c_363,plain,
! [X_62,Z_63] : is_a_theorem(equivalent(X_62,equivalent(equivalent(X_62,Z_63),Z_63))),
inference(resolution,[status(thm)],[c_82,c_302]) ).
tff(c_509,plain,
! [Z_72,Y_73] : is_a_theorem(equivalent(equivalent(equivalent(Z_72,Y_73),Z_72),Y_73)),
inference(resolution,[status(thm)],[c_363,c_73]) ).
tff(c_637,plain,
! [Y_78,Z_79] :
( is_a_theorem(Y_78)
| ~ is_a_theorem(equivalent(equivalent(Z_79,Y_78),Z_79)) ),
inference(resolution,[status(thm)],[c_509,c_2]) ).
tff(c_669,plain,
! [Y_80,Z_81] :
( is_a_theorem(Y_80)
| ~ is_a_theorem(equivalent(equivalent(Z_81,Z_81),Y_80)) ),
inference(resolution,[status(thm)],[c_324,c_637]) ).
tff(c_901,plain,
! [Z_90,Y_91] : is_a_theorem(equivalent(equivalent(Z_90,Y_91),equivalent(Y_91,Z_90))),
inference(resolution,[status(thm)],[c_4,c_669]) ).
tff(c_215,plain,
! [X_48,X_8,Z_10] :
( is_a_theorem(equivalent(X_48,equivalent(X_8,Z_10)))
| ~ is_a_theorem(equivalent(X_8,equivalent(X_48,Z_10))) ),
inference(resolution,[status(thm)],[c_12,c_191]) ).
tff(c_937,plain,
! [Y_91,Z_90] : is_a_theorem(equivalent(Y_91,equivalent(equivalent(Z_90,Y_91),Z_90))),
inference(resolution,[status(thm)],[c_901,c_215]) ).
tff(c_17,plain,
! [X_13,Z_11,Y_12] :
( is_a_theorem(equivalent(X_13,Z_11))
| ~ is_a_theorem(equivalent(Z_11,Y_12))
| ~ is_a_theorem(equivalent(X_13,Y_12)) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_10573,plain,
! [X_378,Z_379,Y_380,X_381] :
( is_a_theorem(equivalent(X_378,equivalent(equivalent(Z_379,Y_380),equivalent(X_381,Z_379))))
| ~ is_a_theorem(equivalent(X_378,equivalent(X_381,Y_380))) ),
inference(resolution,[status(thm)],[c_58,c_17]) ).
tff(c_6,plain,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_10676,plain,
~ is_a_theorem(equivalent(x,equivalent(equivalent(z,x),z))),
inference(resolution,[status(thm)],[c_10573,c_6]) ).
tff(c_10713,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_937,c_10676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL257-1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n027.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 13:53:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 9.95/3.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.95/3.54
% 9.95/3.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.95/3.58
% 9.95/3.58 Inference rules
% 9.95/3.58 ----------------------
% 9.95/3.58 #Ref : 0
% 9.95/3.58 #Sup : 2675
% 9.95/3.58 #Fact : 0
% 9.95/3.58 #Define : 0
% 9.95/3.58 #Split : 1
% 9.95/3.58 #Chain : 0
% 9.95/3.58 #Close : 0
% 9.95/3.58
% 9.95/3.58 Ordering : KBO
% 9.95/3.58
% 9.95/3.58 Simplification rules
% 9.95/3.58 ----------------------
% 9.95/3.58 #Subsume : 188
% 9.95/3.58 #Demod : 371
% 9.95/3.58 #Tautology : 410
% 9.95/3.58 #SimpNegUnit : 0
% 9.95/3.58 #BackRed : 0
% 9.95/3.58
% 9.95/3.58 #Partial instantiations: 0
% 9.95/3.58 #Strategies tried : 1
% 9.95/3.58
% 9.95/3.58 Timing (in seconds)
% 9.95/3.58 ----------------------
% 9.95/3.59 Preprocessing : 0.40
% 9.95/3.59 Parsing : 0.23
% 9.95/3.59 CNF conversion : 0.02
% 9.95/3.59 Main loop : 2.02
% 9.95/3.59 Inferencing : 0.51
% 9.95/3.59 Reduction : 0.54
% 9.95/3.59 Demodulation : 0.43
% 9.95/3.59 BG Simplification : 0.04
% 9.95/3.59 Subsumption : 0.79
% 9.95/3.59 Abstraction : 0.05
% 9.95/3.59 MUC search : 0.00
% 9.95/3.59 Cooper : 0.00
% 9.95/3.59 Total : 2.48
% 9.95/3.59 Index Insertion : 0.00
% 9.95/3.59 Index Deletion : 0.00
% 9.95/3.59 Index Matching : 0.00
% 9.95/3.59 BG Taut test : 0.00
%------------------------------------------------------------------------------