TSTP Solution File: LCL011-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL011-1 : 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/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 : n015.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 10:47:11 EDT 2023
% Result : Unsatisfiable 20.23s 11.24s
% Output : CNFRefutation 20.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 14 unt; 5 typ; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 43 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 6 ( 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 : 130 (; 130 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > equivalent > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(b,type,
b: $i ).
tff(equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_35,axiom,
! [X,Y,Z] : is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Y,Z)))),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_38,axiom,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
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,X_3),equivalent(Y_4,Z_5)))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
! [X_8,Y_9,Z_10] : is_a_theorem(equivalent(equivalent(X_8,Y_9),equivalent(equivalent(Z_10,X_8),equivalent(Y_9,Z_10)))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
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_32]) ).
tff(c_12,plain,
! [Z_10,X_8,Y_9] :
( is_a_theorem(equivalent(equivalent(Z_10,X_8),equivalent(Y_9,Z_10)))
| ~ is_a_theorem(equivalent(X_8,Y_9)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_13,plain,
! [Z_11,X_12,Y_13] :
( is_a_theorem(equivalent(equivalent(Z_11,X_12),equivalent(Y_13,Z_11)))
| ~ is_a_theorem(equivalent(X_12,Y_13)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_18,plain,
! [Y_14,Z_15,X_16] :
( is_a_theorem(equivalent(Y_14,Z_15))
| ~ is_a_theorem(equivalent(Z_15,X_16))
| ~ is_a_theorem(equivalent(X_16,Y_14)) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_32,plain,
! [Y_21,X_22,Y_23,Z_24] :
( is_a_theorem(equivalent(Y_21,equivalent(X_22,Y_23)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Z_24,X_22),equivalent(Y_23,Z_24)),Y_21)) ),
inference(resolution,[status(thm)],[c_4,c_18]) ).
tff(c_383,plain,
! [Y_65,Z_66,X_67,Y_68] :
( is_a_theorem(equivalent(equivalent(Y_65,equivalent(Z_66,X_67)),equivalent(X_67,Y_68)))
| ~ is_a_theorem(equivalent(equivalent(Y_68,Z_66),Y_65)) ),
inference(resolution,[status(thm)],[c_12,c_32]) ).
tff(c_668,plain,
! [X_79,Y_80,Y_81,Z_82] :
( is_a_theorem(equivalent(X_79,Y_80))
| ~ is_a_theorem(equivalent(Y_81,equivalent(Z_82,X_79)))
| ~ is_a_theorem(equivalent(equivalent(Y_80,Z_82),Y_81)) ),
inference(resolution,[status(thm)],[c_383,c_2]) ).
tff(c_4093,plain,
! [Y_205,Z_206,Y_207,X_208] :
( is_a_theorem(equivalent(equivalent(Y_205,Z_206),Y_207))
| ~ is_a_theorem(equivalent(equivalent(Y_207,equivalent(Z_206,X_208)),equivalent(X_208,Y_205))) ),
inference(resolution,[status(thm)],[c_4,c_668]) ).
tff(c_4265,plain,
! [Z_206,Z_5,X_3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(Z_206,equivalent(Z_5,X_3)),Z_5),Z_206),X_3)),
inference(resolution,[status(thm)],[c_4,c_4093]) ).
tff(c_41,plain,
! [Y_9,Z_24,X_22,Y_23] :
( is_a_theorem(equivalent(equivalent(Y_9,equivalent(Z_24,X_22)),equivalent(X_22,Y_23)))
| ~ is_a_theorem(equivalent(equivalent(Y_23,Z_24),Y_9)) ),
inference(resolution,[status(thm)],[c_12,c_32]) ).
tff(c_66390,plain,
! [Y_995,Z_992,X_996,Y_993,Y_994] :
( is_a_theorem(equivalent(Y_993,Y_994))
| ~ is_a_theorem(equivalent(equivalent(Y_994,X_996),equivalent(Y_995,equivalent(Z_992,X_996))))
| ~ is_a_theorem(equivalent(equivalent(Y_993,Z_992),Y_995)) ),
inference(resolution,[status(thm)],[c_41,c_668]) ).
tff(c_66983,plain,
! [Y_997,X_998,Z_999] :
( is_a_theorem(equivalent(Y_997,X_998))
| ~ is_a_theorem(equivalent(equivalent(Y_997,Z_999),equivalent(Z_999,X_998))) ),
inference(resolution,[status(thm)],[c_4,c_66390]) ).
tff(c_70411,plain,
! [Z_1020,Z_1021,X_1022] : is_a_theorem(equivalent(equivalent(equivalent(Z_1020,equivalent(Z_1021,equivalent(Z_1020,X_1022))),Z_1021),X_1022)),
inference(resolution,[status(thm)],[c_4265,c_66983]) ).
tff(c_24,plain,
! [Y_14,X_3,Y_4,Z_5] :
( is_a_theorem(equivalent(Y_14,equivalent(X_3,Y_4)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Z_5,X_3),equivalent(Y_4,Z_5)),Y_14)) ),
inference(resolution,[status(thm)],[c_4,c_18]) ).
tff(c_70719,plain,
! [X_1022,Y_4,Z_1020] : is_a_theorem(equivalent(X_1022,equivalent(equivalent(equivalent(Y_4,Z_1020),equivalent(Z_1020,X_1022)),Y_4))),
inference(resolution,[status(thm)],[c_70411,c_24]) ).
tff(c_1434,plain,
! [X_111,Y_112,X_113,Z_114] :
( is_a_theorem(equivalent(equivalent(X_111,Y_112),equivalent(X_113,Z_114)))
| ~ is_a_theorem(equivalent(equivalent(Y_112,Z_114),equivalent(X_111,X_113))) ),
inference(resolution,[status(thm)],[c_383,c_24]) ).
tff(c_1583,plain,
! [Z_118,X_119,Y_120] : is_a_theorem(equivalent(equivalent(equivalent(Z_118,X_119),X_119),equivalent(equivalent(Y_120,Z_118),Y_120))),
inference(resolution,[status(thm)],[c_4,c_1434]) ).
tff(c_25,plain,
! [Y_17,Z_18,X_19,Y_20] :
( is_a_theorem(equivalent(Y_17,equivalent(Z_18,X_19)))
| ~ is_a_theorem(equivalent(equivalent(Y_20,Z_18),Y_17))
| ~ is_a_theorem(equivalent(X_19,Y_20)) ),
inference(resolution,[status(thm)],[c_12,c_18]) ).
tff(c_43,plain,
! [Z_25,X_26,Y_27,X_28] :
( is_a_theorem(equivalent(equivalent(equivalent(Z_25,X_26),equivalent(Y_27,Z_25)),equivalent(Y_27,X_28)))
| ~ is_a_theorem(equivalent(X_28,X_26)) ),
inference(resolution,[status(thm)],[c_4,c_25]) ).
tff(c_57,plain,
! [Y_27,X_28,Z_25,X_26] :
( is_a_theorem(equivalent(Y_27,X_28))
| ~ is_a_theorem(equivalent(equivalent(Z_25,X_26),equivalent(Y_27,Z_25)))
| ~ is_a_theorem(equivalent(X_28,X_26)) ),
inference(resolution,[status(thm)],[c_43,c_2]) ).
tff(c_1625,plain,
! [Z_118,X_119,X_28] :
( is_a_theorem(equivalent(equivalent(equivalent(Z_118,X_119),Z_118),X_28))
| ~ is_a_theorem(equivalent(X_28,X_119)) ),
inference(resolution,[status(thm)],[c_1583,c_57]) ).
tff(c_74,plain,
! [Y_33,X_34,Z_35,X_36] :
( is_a_theorem(equivalent(Y_33,X_34))
| ~ is_a_theorem(equivalent(equivalent(Z_35,X_36),equivalent(Y_33,Z_35)))
| ~ is_a_theorem(equivalent(X_34,X_36)) ),
inference(resolution,[status(thm)],[c_43,c_2]) ).
tff(c_89,plain,
! [Z_5,Y_4,X_34] :
( is_a_theorem(equivalent(equivalent(Z_5,equivalent(Y_4,Z_5)),X_34))
| ~ is_a_theorem(equivalent(X_34,Y_4)) ),
inference(resolution,[status(thm)],[c_4,c_74]) ).
tff(c_4337,plain,
! [Y_212,Y_213,Z_214] :
( is_a_theorem(equivalent(equivalent(Y_212,Y_213),Z_214))
| ~ is_a_theorem(equivalent(equivalent(Z_214,Y_212),Y_213)) ),
inference(resolution,[status(thm)],[c_89,c_4093]) ).
tff(c_4448,plain,
! [Z_118,X_28,X_119] :
( is_a_theorem(equivalent(equivalent(Z_118,X_28),equivalent(Z_118,X_119)))
| ~ is_a_theorem(equivalent(X_28,X_119)) ),
inference(resolution,[status(thm)],[c_1625,c_4337]) ).
tff(c_1520,plain,
! [Z_5,X_3,Y_4] : is_a_theorem(equivalent(equivalent(equivalent(Z_5,X_3),X_3),equivalent(equivalent(Y_4,Z_5),Y_4))),
inference(resolution,[status(thm)],[c_4,c_1434]) ).
tff(c_58,plain,
! [Z_29,Z_30,X_31,Y_32] : is_a_theorem(equivalent(equivalent(equivalent(Z_29,equivalent(Z_30,X_31)),equivalent(equivalent(Y_32,Z_30),Z_29)),equivalent(X_31,Y_32))),
inference(resolution,[status(thm)],[c_4,c_32]) ).
tff(c_2007,plain,
! [X_139,Y_140,Z_141,Z_142] :
( is_a_theorem(equivalent(X_139,Y_140))
| ~ is_a_theorem(equivalent(equivalent(Z_141,equivalent(Z_142,X_139)),equivalent(equivalent(Y_140,Z_142),Z_141))) ),
inference(resolution,[status(thm)],[c_58,c_2]) ).
tff(c_2075,plain,
! [X_139,Z_5] : is_a_theorem(equivalent(X_139,equivalent(Z_5,equivalent(Z_5,X_139)))),
inference(resolution,[status(thm)],[c_1520,c_2007]) ).
tff(c_191,plain,
! [Y_48,Z_49,X_50,X_51] :
( is_a_theorem(equivalent(equivalent(Y_48,Z_49),equivalent(X_50,X_51)))
| ~ is_a_theorem(equivalent(X_51,Z_49))
| ~ is_a_theorem(equivalent(X_50,Y_48)) ),
inference(resolution,[status(thm)],[c_12,c_25]) ).
tff(c_905,plain,
! [X_89,X_90,Y_91,Z_92] :
( is_a_theorem(equivalent(X_89,X_90))
| ~ is_a_theorem(equivalent(Y_91,Z_92))
| ~ is_a_theorem(equivalent(X_90,Z_92))
| ~ is_a_theorem(equivalent(X_89,Y_91)) ),
inference(resolution,[status(thm)],[c_191,c_2]) ).
tff(c_41684,plain,
! [Z_781,Y_782,X_778,X_780,X_779] :
( is_a_theorem(equivalent(X_779,X_778))
| ~ is_a_theorem(equivalent(X_778,equivalent(equivalent(Z_781,X_780),equivalent(Y_782,Z_781))))
| ~ is_a_theorem(equivalent(X_779,equivalent(X_780,Y_782))) ),
inference(resolution,[status(thm)],[c_4,c_905]) ).
tff(c_42221,plain,
! [X_783,X_784,X_785] :
( is_a_theorem(equivalent(X_783,X_784))
| ~ is_a_theorem(equivalent(X_783,equivalent(X_785,equivalent(X_784,X_785)))) ),
inference(resolution,[status(thm)],[c_2075,c_41684]) ).
tff(c_46408,plain,
! [Z_823,X_824,X_825] :
( is_a_theorem(equivalent(equivalent(Z_823,X_824),X_825))
| ~ is_a_theorem(equivalent(X_824,equivalent(X_825,Z_823))) ),
inference(resolution,[status(thm)],[c_4448,c_42221]) ).
tff(c_6,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_46796,plain,
~ is_a_theorem(equivalent(b,equivalent(equivalent(equivalent(a,c),equivalent(c,b)),a))),
inference(resolution,[status(thm)],[c_46408,c_6]) ).
tff(c_72494,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70719,c_46796]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.36 % Computer : n015.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 14:14:44 EDT 2023
% 0.13/0.36 % CPUTime :
% 20.23/11.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.36/11.25
% 20.36/11.25 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.44/11.29
% 20.44/11.29 Inference rules
% 20.44/11.29 ----------------------
% 20.44/11.29 #Ref : 0
% 20.44/11.29 #Sup : 17159
% 20.44/11.29 #Fact : 0
% 20.44/11.29 #Define : 0
% 20.44/11.29 #Split : 4
% 20.44/11.29 #Chain : 0
% 20.44/11.29 #Close : 0
% 20.44/11.29
% 20.44/11.29 Ordering : KBO
% 20.44/11.29
% 20.44/11.29 Simplification rules
% 20.44/11.29 ----------------------
% 20.44/11.29 #Subsume : 1151
% 20.44/11.29 #Demod : 2948
% 20.44/11.29 #Tautology : 2957
% 20.44/11.29 #SimpNegUnit : 0
% 20.44/11.29 #BackRed : 1
% 20.44/11.29
% 20.44/11.29 #Partial instantiations: 0
% 20.44/11.29 #Strategies tried : 1
% 20.44/11.29
% 20.44/11.29 Timing (in seconds)
% 20.44/11.29 ----------------------
% 20.44/11.29 Preprocessing : 0.39
% 20.44/11.29 Parsing : 0.21
% 20.44/11.29 CNF conversion : 0.02
% 20.44/11.29 Main loop : 9.82
% 20.44/11.29 Inferencing : 1.25
% 20.44/11.29 Reduction : 3.02
% 20.44/11.29 Demodulation : 2.64
% 20.44/11.29 BG Simplification : 0.10
% 20.44/11.29 Subsumption : 4.92
% 20.44/11.29 Abstraction : 0.12
% 20.44/11.29 MUC search : 0.00
% 20.44/11.29 Cooper : 0.00
% 20.44/11.29 Total : 10.27
% 20.44/11.29 Index Insertion : 0.00
% 20.44/11.29 Index Deletion : 0.00
% 20.44/11.29 Index Matching : 0.00
% 20.44/11.29 BG Taut test : 0.00
%------------------------------------------------------------------------------