TSTP Solution File: MGT002-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT002-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n019.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 10:49:27 EDT 2023
% Result : Unsatisfiable 3.66s 1.89s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 49 ( 17 unt; 11 typ; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 216 ( 111 ~; 105 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 6 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 81 (; 81 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ reproducibility > reorganization_free > inertia > organization > greater > sk1 > #nlpp > sk6 > sk5 > sk4 > sk3 > sk2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(reorganization_free,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(reproducibility,type,
reproducibility: ( $i * $i * $i ) > $o ).
tff(sk2,type,
sk2: $i ).
tff(sk6,type,
sk6: $i ).
tff(inertia,type,
inertia: ( $i * $i * $i ) > $o ).
tff(sk4,type,
sk4: $i ).
tff(sk5,type,
sk5: $i ).
tff(sk3,type,
sk3: $i ).
tff(organization,type,
organization: ( $i * $i ) > $o ).
tff(sk1,type,
sk1: ( $i * $i ) > $i ).
tff(f_117,axiom,
organization(sk2,sk5),
file(unknown,unknown) ).
tff(f_119,axiom,
reorganization_free(sk2,sk5,sk6),
file(unknown,unknown) ).
tff(f_122,axiom,
greater(sk6,sk5),
file(unknown,unknown) ).
tff(f_28,axiom,
! [A,B] :
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ),
file(unknown,unknown) ).
tff(f_118,axiom,
organization(sk2,sk6),
file(unknown,unknown) ).
tff(f_124,axiom,
~ greater(sk4,sk3),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A,B,C] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ),
file(unknown,unknown) ).
tff(f_120,axiom,
inertia(sk2,sk3,sk5),
file(unknown,unknown) ).
tff(f_38,axiom,
! [A,B,C] :
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ),
file(unknown,unknown) ).
tff(f_121,axiom,
inertia(sk2,sk4,sk6),
file(unknown,unknown) ).
tff(f_116,axiom,
! [A,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [H,A,F,G,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(F,E)
| greater(H,G) ),
file(unknown,unknown) ).
tff(c_14,plain,
organization(sk2,sk5),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_18,plain,
reorganization_free(sk2,sk5,sk6),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_24,plain,
greater(sk6,sk5),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_2,plain,
! [A_1,B_2] :
( reproducibility(A_1,sk1(B_2,A_1),B_2)
| ~ organization(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_16,plain,
organization(sk2,sk6),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_26,plain,
~ greater(sk4,sk3),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_35,plain,
! [A_33,B_34,C_35] :
( reorganization_free(A_33,B_34,B_34)
| ~ reorganization_free(A_33,B_34,C_35) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_42,plain,
reorganization_free(sk2,sk5,sk5),
inference(resolution,[status(thm)],[c_18,c_35]) ).
tff(c_20,plain,
inertia(sk2,sk3,sk5),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_27,plain,
! [A_30,C_31,B_32] :
( reorganization_free(A_30,C_31,C_31)
| ~ reorganization_free(A_30,B_32,C_31) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_30,plain,
reorganization_free(sk2,sk6,sk6),
inference(resolution,[status(thm)],[c_18,c_27]) ).
tff(c_22,plain,
inertia(sk2,sk4,sk6),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_52,plain,
! [E_40,D_38,B_42,A_39,C_41] :
( greater(E_40,D_38)
| ~ greater(C_41,B_42)
| ~ reproducibility(A_39,E_40,C_41)
| ~ reproducibility(A_39,D_38,B_42)
| ~ reorganization_free(A_39,B_42,C_41)
| ~ organization(A_39,C_41)
| ~ organization(A_39,B_42) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_56,plain,
! [B_43,A_44,D_45,B_46] :
( greater(sk1(B_43,A_44),D_45)
| ~ greater(B_43,B_46)
| ~ reproducibility(A_44,D_45,B_46)
| ~ reorganization_free(A_44,B_46,B_43)
| ~ organization(A_44,B_46)
| ~ organization(A_44,B_43) ),
inference(resolution,[status(thm)],[c_2,c_52]) ).
tff(c_59,plain,
! [B_43,A_1,B_2] :
( greater(sk1(B_43,A_1),sk1(B_2,A_1))
| ~ greater(B_43,B_2)
| ~ reorganization_free(A_1,B_2,B_43)
| ~ organization(A_1,B_43)
| ~ organization(A_1,B_2) ),
inference(resolution,[status(thm)],[c_2,c_56]) ).
tff(c_61,plain,
! [E_55,F_57,B_51,H_53,A_56,D_50,C_54,G_52] :
( greater(H_53,G_52)
| ~ greater(F_57,E_55)
| ~ inertia(C_54,H_53,D_50)
| ~ inertia(A_56,G_52,B_51)
| ~ reproducibility(C_54,F_57,D_50)
| ~ reproducibility(A_56,E_55,B_51)
| ~ reorganization_free(C_54,D_50,D_50)
| ~ reorganization_free(A_56,B_51,B_51)
| ~ organization(C_54,D_50)
| ~ organization(A_56,B_51) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_110,plain,
! [C_103,A_102,D_96,A_101,B_99,B_97,H_98,B_100,G_104] :
( greater(H_98,G_104)
| ~ inertia(C_103,H_98,D_96)
| ~ inertia(A_102,G_104,B_99)
| ~ reproducibility(C_103,sk1(B_97,A_101),D_96)
| ~ reproducibility(A_102,sk1(B_100,A_101),B_99)
| ~ reorganization_free(C_103,D_96,D_96)
| ~ reorganization_free(A_102,B_99,B_99)
| ~ organization(C_103,D_96)
| ~ organization(A_102,B_99)
| ~ greater(B_97,B_100)
| ~ reorganization_free(A_101,B_100,B_97)
| ~ organization(A_101,B_97)
| ~ organization(A_101,B_100) ),
inference(resolution,[status(thm)],[c_59,c_61]) ).
tff(c_112,plain,
! [A_102,A_101,B_99,B_97,B_100,G_104] :
( greater(sk4,G_104)
| ~ inertia(A_102,G_104,B_99)
| ~ reproducibility(sk2,sk1(B_97,A_101),sk6)
| ~ reproducibility(A_102,sk1(B_100,A_101),B_99)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reorganization_free(A_102,B_99,B_99)
| ~ organization(sk2,sk6)
| ~ organization(A_102,B_99)
| ~ greater(B_97,B_100)
| ~ reorganization_free(A_101,B_100,B_97)
| ~ organization(A_101,B_97)
| ~ organization(A_101,B_100) ),
inference(resolution,[status(thm)],[c_22,c_110]) ).
tff(c_148,plain,
! [B_118,B_119,G_116,A_120,A_115,B_117] :
( greater(sk4,G_116)
| ~ inertia(A_120,G_116,B_118)
| ~ reproducibility(sk2,sk1(B_117,A_115),sk6)
| ~ reproducibility(A_120,sk1(B_119,A_115),B_118)
| ~ reorganization_free(A_120,B_118,B_118)
| ~ organization(A_120,B_118)
| ~ greater(B_117,B_119)
| ~ reorganization_free(A_115,B_119,B_117)
| ~ organization(A_115,B_117)
| ~ organization(A_115,B_119) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_30,c_112]) ).
tff(c_152,plain,
! [B_117,A_115,B_119] :
( greater(sk4,sk3)
| ~ reproducibility(sk2,sk1(B_117,A_115),sk6)
| ~ reproducibility(sk2,sk1(B_119,A_115),sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ organization(sk2,sk5)
| ~ greater(B_117,B_119)
| ~ reorganization_free(A_115,B_119,B_117)
| ~ organization(A_115,B_117)
| ~ organization(A_115,B_119) ),
inference(resolution,[status(thm)],[c_20,c_148]) ).
tff(c_158,plain,
! [B_117,A_115,B_119] :
( greater(sk4,sk3)
| ~ reproducibility(sk2,sk1(B_117,A_115),sk6)
| ~ reproducibility(sk2,sk1(B_119,A_115),sk5)
| ~ greater(B_117,B_119)
| ~ reorganization_free(A_115,B_119,B_117)
| ~ organization(A_115,B_117)
| ~ organization(A_115,B_119) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_42,c_152]) ).
tff(c_161,plain,
! [B_121,A_122,B_123] :
( ~ reproducibility(sk2,sk1(B_121,A_122),sk6)
| ~ reproducibility(sk2,sk1(B_123,A_122),sk5)
| ~ greater(B_121,B_123)
| ~ reorganization_free(A_122,B_123,B_121)
| ~ organization(A_122,B_121)
| ~ organization(A_122,B_123) ),
inference(negUnitSimplification,[status(thm)],[c_26,c_158]) ).
tff(c_164,plain,
! [B_123] :
( ~ reproducibility(sk2,sk1(B_123,sk2),sk5)
| ~ greater(sk6,B_123)
| ~ reorganization_free(sk2,B_123,sk6)
| ~ organization(sk2,B_123)
| ~ organization(sk2,sk6) ),
inference(resolution,[status(thm)],[c_2,c_161]) ).
tff(c_168,plain,
! [B_124] :
( ~ reproducibility(sk2,sk1(B_124,sk2),sk5)
| ~ greater(sk6,B_124)
| ~ reorganization_free(sk2,B_124,sk6)
| ~ organization(sk2,B_124) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_164]) ).
tff(c_172,plain,
( ~ greater(sk6,sk5)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ organization(sk2,sk5) ),
inference(resolution,[status(thm)],[c_2,c_168]) ).
tff(c_176,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_18,c_24,c_172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT002-1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.17/0.35 % Computer : n019.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 20:34:16 EDT 2023
% 0.17/0.35 % CPUTime :
% 3.66/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/1.90
% 3.66/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.73/1.94
% 3.73/1.94 Inference rules
% 3.73/1.94 ----------------------
% 3.73/1.94 #Ref : 0
% 3.73/1.94 #Sup : 28
% 3.73/1.94 #Fact : 0
% 3.73/1.94 #Define : 0
% 3.73/1.94 #Split : 6
% 3.73/1.94 #Chain : 0
% 3.73/1.94 #Close : 0
% 3.73/1.94
% 3.73/1.94 Ordering : KBO
% 3.73/1.94
% 3.73/1.94 Simplification rules
% 3.73/1.94 ----------------------
% 3.73/1.94 #Subsume : 0
% 3.73/1.94 #Demod : 28
% 3.73/1.94 #Tautology : 4
% 3.73/1.94 #SimpNegUnit : 1
% 3.73/1.94 #BackRed : 0
% 3.73/1.94
% 3.73/1.94 #Partial instantiations: 0
% 3.73/1.94 #Strategies tried : 1
% 3.73/1.94
% 3.73/1.94 Timing (in seconds)
% 3.73/1.94 ----------------------
% 3.73/1.94 Preprocessing : 0.46
% 3.73/1.94 Parsing : 0.26
% 3.73/1.94 CNF conversion : 0.03
% 3.73/1.94 Main loop : 0.40
% 3.73/1.94 Inferencing : 0.16
% 3.73/1.94 Reduction : 0.09
% 3.73/1.94 Demodulation : 0.06
% 3.73/1.94 BG Simplification : 0.02
% 3.73/1.94 Subsumption : 0.10
% 3.73/1.94 Abstraction : 0.01
% 3.73/1.94 MUC search : 0.00
% 3.73/1.94 Cooper : 0.00
% 3.73/1.94 Total : 0.92
% 3.73/1.94 Index Insertion : 0.00
% 3.73/1.94 Index Deletion : 0.00
% 3.73/1.94 Index Matching : 0.00
% 3.73/1.94 BG Taut test : 0.00
%------------------------------------------------------------------------------