TSTP Solution File: LCL107-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL107-1 : 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/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 : n016.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 10:47:23 EDT 2023
% Result : Unsatisfiable 7.22s 2.88s
% Output : CNFRefutation 7.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 18 unt; 6 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 8 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 147 (; 147 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > equivalent > #nlpp > e > 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(e,type,
e: $i ).
tff(c,type,
c: $i ).
tff(f_37,axiom,
! [V6,W,U,Z,X,Y,V] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(Z,equivalent(equivalent(Y,X),V6)))),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_39,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [V6_3,Y_8,Z_6,V_9,U_5,X_7,W_4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7,Y_8),Z_6),equivalent(equivalent(U_5,V_9),equivalent(equivalent(equivalent(W_4,V_9),equivalent(W_4,U_5)),V6_3))),equivalent(Z_6,equivalent(equivalent(Y_8,X_7),V6_3)))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_8,plain,
! [V_17,V6_12,X_15,Z_14,W_18,Y_13,U_16] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_15,Y_13),Z_14),equivalent(equivalent(U_16,V_17),equivalent(equivalent(equivalent(W_18,V_17),equivalent(W_18,U_16)),V6_12))),equivalent(Z_14,equivalent(equivalent(Y_13,X_15),V6_12)))),
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_35]) ).
tff(c_13,plain,
! [U_24,X_25,Y_22,V_20,Z_23,V6_21,W_19] :
( is_a_theorem(equivalent(Z_23,equivalent(equivalent(Y_22,X_25),V6_21)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_25,Y_22),Z_23),equivalent(equivalent(U_24,V_20),equivalent(equivalent(equivalent(W_19,V_20),equivalent(W_19,U_24)),V6_21)))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_19,plain,
! [V_32,W_27,U_28,W_31,U_29,V6_26,V_30] : is_a_theorem(equivalent(equivalent(equivalent(U_29,V_30),equivalent(equivalent(equivalent(W_31,V_30),equivalent(W_31,U_29)),V6_26)),equivalent(equivalent(equivalent(U_28,V_32),equivalent(equivalent(W_27,U_28),equivalent(W_27,V_32))),V6_26))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_12,plain,
! [V_17,V6_12,X_15,Z_14,W_18,Y_13,U_16] :
( is_a_theorem(equivalent(Z_14,equivalent(equivalent(Y_13,X_15),V6_12)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_15,Y_13),Z_14),equivalent(equivalent(U_16,V_17),equivalent(equivalent(equivalent(W_18,V_17),equivalent(W_18,U_16)),V6_12)))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_30,plain,
! [V6_45,U_42,V_46,W_47,W_44,V_43,W_40,U_41] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(W_40,V_43),equivalent(W_40,U_42)),equivalent(equivalent(equivalent(W_44,equivalent(equivalent(W_47,U_41),equivalent(W_47,V_46))),equivalent(W_44,equivalent(U_41,V_46))),V6_45)),equivalent(equivalent(V_43,U_42),V6_45))),
inference(resolution,[status(thm)],[c_19,c_12]) ).
tff(c_153,plain,
! [W_104,W_96,V_101,V6_100,W_103,U_102,U_97,W_99,V_98] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(W_104,equivalent(equivalent(W_96,U_97),equivalent(W_96,V_98))),equivalent(W_104,equivalent(U_97,V_98))),equivalent(equivalent(equivalent(W_99,U_102),equivalent(W_99,V_101)),V6_100)),equivalent(equivalent(equivalent(W_103,U_102),equivalent(W_103,V_101)),V6_100))),
inference(resolution,[status(thm)],[c_30,c_12]) ).
tff(c_39,plain,
! [V6_45,U_42,V_46,W_47,W_44,V_43,W_40,U_41] :
( is_a_theorem(equivalent(equivalent(V_43,U_42),V6_45))
| ~ is_a_theorem(equivalent(equivalent(equivalent(W_40,V_43),equivalent(W_40,U_42)),equivalent(equivalent(equivalent(W_44,equivalent(equivalent(W_47,U_41),equivalent(W_47,V_46))),equivalent(W_44,equivalent(U_41,V_46))),V6_45))) ),
inference(resolution,[status(thm)],[c_30,c_2]) ).
tff(c_173,plain,
! [U_109,V6_107,V_106,W_108,W_105] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(W_108,U_109),equivalent(equivalent(W_105,W_108),equivalent(W_105,V_106))),equivalent(U_109,V_106)),V6_107),V6_107)),
inference(resolution,[status(thm)],[c_153,c_39]) ).
tff(c_193,plain,
! [V_112,V6_110,W_113,U_114,W_111] :
( is_a_theorem(V6_110)
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(W_111,U_114),equivalent(equivalent(W_113,W_111),equivalent(W_113,V_112))),equivalent(U_114,V_112)),V6_110)) ),
inference(resolution,[status(thm)],[c_173,c_2]) ).
tff(c_198,plain,
! [V6_3,V_9,U_5,W_113,X_7,W_4] : is_a_theorem(equivalent(equivalent(equivalent(W_113,X_7),equivalent(W_113,equivalent(equivalent(equivalent(W_4,V_9),equivalent(W_4,U_5)),V6_3))),equivalent(equivalent(equivalent(U_5,V_9),X_7),V6_3))),
inference(resolution,[status(thm)],[c_4,c_193]) ).
tff(c_27,plain,
! [V_32,W_27,V6_12,U_28,W_31,U_29,V_30,W_18] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(W_31,V_30),equivalent(W_31,U_29)),equivalent(equivalent(equivalent(W_18,equivalent(equivalent(W_27,U_28),equivalent(W_27,V_32))),equivalent(W_18,equivalent(U_28,V_32))),V6_12)),equivalent(equivalent(V_30,U_29),V6_12))),
inference(resolution,[status(thm)],[c_19,c_12]) ).
tff(c_40,plain,
! [W_53,V_51,W_48,W_55,U_49,V_50,V6_54,U_52] :
( is_a_theorem(equivalent(equivalent(V_51,U_52),V6_54))
| ~ is_a_theorem(equivalent(equivalent(equivalent(W_53,V_51),equivalent(W_53,U_52)),equivalent(equivalent(equivalent(W_55,equivalent(equivalent(W_48,U_49),equivalent(W_48,V_50))),equivalent(W_55,equivalent(U_49,V_50))),V6_54))) ),
inference(resolution,[status(thm)],[c_30,c_2]) ).
tff(c_51,plain,
! [W_57,V6_58,W_56,V_61,W_60,U_59] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(W_57,equivalent(equivalent(W_60,equivalent(W_56,U_59)),equivalent(W_60,equivalent(W_56,V_61)))),equivalent(W_57,equivalent(U_59,V_61))),V6_58),V6_58)),
inference(resolution,[status(thm)],[c_27,c_40]) ).
tff(c_66,plain,
! [W_64,U_67,V_66,W_62,W_63,V6_65] :
( is_a_theorem(V6_65)
| ~ is_a_theorem(equivalent(equivalent(equivalent(W_62,equivalent(equivalent(W_64,equivalent(W_63,U_67)),equivalent(W_64,equivalent(W_63,V_66)))),equivalent(W_62,equivalent(U_67,V_66))),V6_65)) ),
inference(resolution,[status(thm)],[c_51,c_2]) ).
tff(c_138,plain,
! [V6_90,W_93,V_94,W_91,U_92,W_95] : is_a_theorem(equivalent(equivalent(equivalent(W_91,equivalent(W_93,equivalent(equivalent(W_95,V_94),equivalent(W_95,U_92)))),equivalent(W_91,equivalent(W_93,V6_90))),equivalent(equivalent(V_94,U_92),V6_90))),
inference(resolution,[status(thm)],[c_4,c_66]) ).
tff(c_261,plain,
! [W_148,W_147,U_144,V_146,W_145,V6_143] :
( is_a_theorem(equivalent(equivalent(V_146,U_144),V6_143))
| ~ is_a_theorem(equivalent(equivalent(W_147,equivalent(W_148,equivalent(equivalent(W_145,V_146),equivalent(W_145,U_144)))),equivalent(W_147,equivalent(W_148,V6_143)))) ),
inference(resolution,[status(thm)],[c_138,c_2]) ).
tff(c_297,plain,
! [W_149,U_150] : is_a_theorem(equivalent(equivalent(equivalent(W_149,W_149),U_150),U_150)),
inference(resolution,[status(thm)],[c_198,c_261]) ).
tff(c_387,plain,
! [U_161,W_162] :
( is_a_theorem(U_161)
| ~ is_a_theorem(equivalent(equivalent(W_162,W_162),U_161)) ),
inference(resolution,[status(thm)],[c_297,c_2]) ).
tff(c_442,plain,
! [W_4,V_9,U_5,V6_3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(W_4,V_9),equivalent(W_4,U_5)),V6_3),equivalent(equivalent(V_9,U_5),V6_3))),
inference(resolution,[status(thm)],[c_4,c_387]) ).
tff(c_485,plain,
! [W_164,V_165,U_166,V6_167] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(W_164,V_165),equivalent(W_164,U_166)),V6_167),equivalent(equivalent(V_165,U_166),V6_167))),
inference(resolution,[status(thm)],[c_4,c_387]) ).
tff(c_1275,plain,
! [V_226,U_227,V6_228,W_229] :
( is_a_theorem(equivalent(equivalent(V_226,U_227),V6_228))
| ~ is_a_theorem(equivalent(equivalent(equivalent(W_229,V_226),equivalent(W_229,U_227)),V6_228)) ),
inference(resolution,[status(thm)],[c_485,c_2]) ).
tff(c_1354,plain,
! [W_4,U_5,U_227,V_9] : is_a_theorem(equivalent(equivalent(equivalent(W_4,U_5),U_227),equivalent(equivalent(V_9,U_5),equivalent(equivalent(W_4,V_9),U_227)))),
inference(resolution,[status(thm)],[c_442,c_1275]) ).
tff(c_6,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_6239,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL107-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.19/0.36 % Computer : n016.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Thu Aug 3 14:28:07 EDT 2023
% 0.19/0.36 % CPUTime :
% 7.22/2.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.22/2.88
% 7.22/2.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.22/2.93
% 7.22/2.93 Inference rules
% 7.22/2.93 ----------------------
% 7.22/2.93 #Ref : 0
% 7.22/2.93 #Sup : 1256
% 7.22/2.93 #Fact : 0
% 7.22/2.93 #Define : 0
% 7.22/2.93 #Split : 0
% 7.22/2.93 #Chain : 0
% 7.22/2.93 #Close : 0
% 7.22/2.93
% 7.22/2.93 Ordering : KBO
% 7.22/2.93
% 7.22/2.93 Simplification rules
% 7.22/2.93 ----------------------
% 7.22/2.93 #Subsume : 84
% 7.22/2.93 #Demod : 353
% 7.22/2.93 #Tautology : 360
% 7.22/2.93 #SimpNegUnit : 0
% 7.22/2.93 #BackRed : 1
% 7.22/2.93
% 7.22/2.93 #Partial instantiations: 0
% 7.22/2.93 #Strategies tried : 1
% 7.22/2.93
% 7.22/2.93 Timing (in seconds)
% 7.22/2.93 ----------------------
% 7.22/2.94 Preprocessing : 0.42
% 7.22/2.94 Parsing : 0.23
% 7.22/2.94 CNF conversion : 0.02
% 7.22/2.94 Main loop : 1.36
% 7.22/2.94 Inferencing : 0.53
% 7.22/2.94 Reduction : 0.37
% 7.22/2.94 Demodulation : 0.30
% 7.22/2.94 BG Simplification : 0.03
% 7.22/2.94 Subsumption : 0.34
% 7.22/2.94 Abstraction : 0.04
% 7.22/2.94 MUC search : 0.00
% 7.22/2.94 Cooper : 0.00
% 7.22/2.94 Total : 1.85
% 7.22/2.94 Index Insertion : 0.00
% 7.22/2.94 Index Deletion : 0.00
% 7.22/2.94 Index Matching : 0.00
% 7.22/2.94 BG Taut test : 0.00
%------------------------------------------------------------------------------