TSTP Solution File: NUM376+1.010 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM376+1.010 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%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 : 600s
% DateTime : Mon Jul 18 09:40:30 EDT 2022
% Result : Unsatisfiable 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM376+1.010 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.32 % Computer : n027.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Wed Jul 6 07:48:58 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.35 # No SInE strategy applied
% 0.13/0.35 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.35 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.35 #
% 0.13/0.35 # Presaturation interreduction done
% 0.13/0.35 # Number of axioms: 201 Number of unprocessed: 201
% 0.13/0.35 # Tableaux proof search.
% 0.13/0.35 # APR header successfully linked.
% 0.13/0.35 # Hello from C++
% 0.18/0.38 # The folding up rule is enabled...
% 0.18/0.38 # Local unification is enabled...
% 0.18/0.38 # Any saturation attempts will use folding labels...
% 0.18/0.38 # 201 beginning clauses after preprocessing and clausification
% 0.18/0.38 # No conjectures after preprocessing. Attempting to resurrect them from ax_archive.
% 0.18/0.38 # No conjectures.
% 0.18/0.38 # There are 201 start rule candidates:
% 0.18/0.38 # Found 199 unit axioms.
% 0.18/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.38 # 201 start rule tableaux created.
% 0.18/0.38 # 2 extension rule candidate clauses
% 0.18/0.38 # 199 unit axiom clauses
% 0.18/0.38
% 0.18/0.38 # Requested 8, 32 cores available to the main process.
% 0.18/0.41 # Creating equality axioms
% 0.18/0.41 # Ran out of tableaux, making start rules for all clauses
% 0.18/0.42 # There were 1 total branch saturation attempts.
% 0.18/0.42 # There were 0 of these attempts blocked.
% 0.18/0.42 # There were 0 deferred branch saturation attempts.
% 0.18/0.42 # There were 0 free duplicated saturations.
% 0.18/0.42 # There were 1 total successful branch saturations.
% 0.18/0.42 # There were 0 successful branch saturations in interreduction.
% 0.18/0.42 # There were 0 successful branch saturations on the branch.
% 0.18/0.42 # There were 1 successful branch saturations after the branch.
% 0.18/0.42 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 # Begin clausification derivation
% 0.18/0.42
% 0.18/0.42 # End clausification derivation
% 0.18/0.42 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.42 cnf(i_0_201, plain, (succ(n0)=n1)).
% 0.18/0.42 cnf(i_0_200, plain, (succ(n1)=n2)).
% 0.18/0.42 cnf(i_0_199, plain, (succ(n2)=n3)).
% 0.18/0.42 cnf(i_0_198, plain, (succ(n3)=n4)).
% 0.18/0.42 cnf(i_0_197, plain, (succ(n4)=n5)).
% 0.18/0.42 cnf(i_0_196, plain, (succ(n5)=n6)).
% 0.18/0.42 cnf(i_0_195, plain, (succ(n6)=n7)).
% 0.18/0.42 cnf(i_0_194, plain, (succ(n7)=n8)).
% 0.18/0.42 cnf(i_0_193, plain, (succ(n8)=n9)).
% 0.18/0.42 cnf(i_0_192, plain, (succ(n9)=n10)).
% 0.18/0.42 cnf(i_0_191, plain, (succ(n10)=n0)).
% 0.18/0.42 cnf(i_0_190, plain, (pred(n0)=n10)).
% 0.18/0.42 cnf(i_0_189, plain, (pred(n1)=n0)).
% 0.18/0.42 cnf(i_0_188, plain, (pred(n2)=n1)).
% 0.18/0.42 cnf(i_0_187, plain, (pred(n3)=n2)).
% 0.18/0.42 cnf(i_0_186, plain, (pred(n4)=n3)).
% 0.18/0.42 cnf(i_0_185, plain, (pred(n5)=n4)).
% 0.18/0.42 cnf(i_0_184, plain, (pred(n6)=n5)).
% 0.18/0.42 cnf(i_0_183, plain, (pred(n7)=n6)).
% 0.18/0.42 cnf(i_0_182, plain, (pred(n8)=n7)).
% 0.18/0.42 cnf(i_0_181, plain, (pred(n9)=n8)).
% 0.18/0.42 cnf(i_0_180, plain, (pred(n10)=n9)).
% 0.18/0.42 cnf(i_0_179, plain, (sum(n0,n0)=n0)).
% 0.18/0.42 cnf(i_0_178, plain, (sum(n0,n1)=n1)).
% 0.18/0.42 cnf(i_0_177, plain, (sum(n0,n2)=n2)).
% 0.18/0.42 cnf(i_0_176, plain, (sum(n0,n3)=n3)).
% 0.18/0.42 cnf(i_0_175, plain, (sum(n0,n4)=n4)).
% 0.18/0.42 cnf(i_0_174, plain, (sum(n0,n5)=n5)).
% 0.18/0.42 cnf(i_0_173, plain, (sum(n0,n6)=n6)).
% 0.18/0.42 cnf(i_0_172, plain, (sum(n0,n7)=n7)).
% 0.18/0.42 cnf(i_0_171, plain, (sum(n0,n8)=n8)).
% 0.18/0.42 cnf(i_0_170, plain, (sum(n0,n9)=n9)).
% 0.18/0.42 cnf(i_0_169, plain, (sum(n0,n10)=n10)).
% 0.18/0.42 cnf(i_0_168, plain, (sum(n1,n0)=n1)).
% 0.18/0.42 cnf(i_0_167, plain, (sum(n1,n1)=n2)).
% 0.18/0.42 cnf(i_0_166, plain, (sum(n1,n2)=n3)).
% 0.18/0.42 cnf(i_0_165, plain, (sum(n1,n3)=n4)).
% 0.18/0.42 cnf(i_0_164, plain, (sum(n1,n4)=n5)).
% 0.18/0.42 cnf(i_0_163, plain, (sum(n1,n5)=n6)).
% 0.18/0.42 cnf(i_0_162, plain, (sum(n1,n6)=n7)).
% 0.18/0.42 cnf(i_0_161, plain, (sum(n1,n7)=n8)).
% 0.18/0.42 cnf(i_0_160, plain, (sum(n1,n8)=n9)).
% 0.18/0.42 cnf(i_0_159, plain, (sum(n1,n9)=n10)).
% 0.18/0.42 cnf(i_0_158, plain, (sum(n1,n10)=n0)).
% 0.18/0.42 cnf(i_0_157, plain, (sum(n2,n0)=n2)).
% 0.18/0.42 cnf(i_0_156, plain, (sum(n2,n1)=n3)).
% 0.18/0.42 cnf(i_0_155, plain, (sum(n2,n2)=n4)).
% 0.18/0.42 cnf(i_0_154, plain, (sum(n2,n3)=n5)).
% 0.18/0.42 cnf(i_0_153, plain, (sum(n2,n4)=n6)).
% 0.18/0.42 cnf(i_0_152, plain, (sum(n2,n5)=n7)).
% 0.18/0.42 cnf(i_0_151, plain, (sum(n2,n6)=n8)).
% 0.18/0.42 cnf(i_0_150, plain, (sum(n2,n7)=n9)).
% 0.18/0.42 cnf(i_0_149, plain, (sum(n2,n8)=n10)).
% 0.18/0.42 cnf(i_0_148, plain, (sum(n2,n9)=n0)).
% 0.18/0.42 cnf(i_0_147, plain, (sum(n2,n10)=n1)).
% 0.18/0.42 cnf(i_0_146, plain, (sum(n3,n0)=n3)).
% 0.18/0.42 cnf(i_0_145, plain, (sum(n3,n1)=n4)).
% 0.18/0.42 cnf(i_0_144, plain, (sum(n3,n2)=n5)).
% 0.18/0.42 cnf(i_0_143, plain, (sum(n3,n3)=n6)).
% 0.18/0.42 cnf(i_0_142, plain, (sum(n3,n4)=n7)).
% 0.18/0.42 cnf(i_0_141, plain, (sum(n3,n5)=n8)).
% 0.18/0.42 cnf(i_0_140, plain, (sum(n3,n6)=n9)).
% 0.18/0.42 cnf(i_0_139, plain, (sum(n3,n7)=n10)).
% 0.18/0.42 cnf(i_0_138, plain, (sum(n3,n8)=n0)).
% 0.18/0.42 cnf(i_0_137, plain, (sum(n3,n9)=n1)).
% 0.18/0.42 cnf(i_0_136, plain, (sum(n3,n10)=n2)).
% 0.18/0.42 cnf(i_0_135, plain, (sum(n4,n0)=n4)).
% 0.18/0.42 cnf(i_0_134, plain, (sum(n4,n1)=n5)).
% 0.18/0.42 cnf(i_0_133, plain, (sum(n4,n2)=n6)).
% 0.18/0.42 cnf(i_0_132, plain, (sum(n4,n3)=n7)).
% 0.18/0.42 cnf(i_0_131, plain, (sum(n4,n4)=n8)).
% 0.18/0.42 cnf(i_0_130, plain, (sum(n4,n5)=n9)).
% 0.18/0.42 cnf(i_0_129, plain, (sum(n4,n6)=n10)).
% 0.18/0.42 cnf(i_0_128, plain, (sum(n4,n7)=n0)).
% 0.18/0.42 cnf(i_0_127, plain, (sum(n4,n8)=n1)).
% 0.18/0.42 cnf(i_0_126, plain, (sum(n4,n9)=n2)).
% 0.18/0.42 cnf(i_0_125, plain, (sum(n4,n10)=n3)).
% 0.18/0.42 cnf(i_0_124, plain, (sum(n5,n0)=n5)).
% 0.18/0.42 cnf(i_0_123, plain, (sum(n5,n1)=n6)).
% 0.18/0.42 cnf(i_0_122, plain, (sum(n5,n2)=n7)).
% 0.18/0.42 cnf(i_0_121, plain, (sum(n5,n3)=n8)).
% 0.18/0.42 cnf(i_0_120, plain, (sum(n5,n4)=n9)).
% 0.18/0.42 cnf(i_0_119, plain, (sum(n5,n5)=n10)).
% 0.18/0.42 cnf(i_0_118, plain, (sum(n5,n6)=n0)).
% 0.18/0.42 cnf(i_0_117, plain, (sum(n5,n7)=n1)).
% 0.18/0.42 cnf(i_0_116, plain, (sum(n5,n8)=n2)).
% 0.18/0.42 cnf(i_0_115, plain, (sum(n5,n9)=n3)).
% 0.18/0.42 cnf(i_0_114, plain, (sum(n5,n10)=n4)).
% 0.18/0.42 cnf(i_0_113, plain, (sum(n6,n0)=n6)).
% 0.18/0.42 cnf(i_0_112, plain, (sum(n6,n1)=n7)).
% 0.18/0.42 cnf(i_0_111, plain, (sum(n6,n2)=n8)).
% 0.18/0.42 cnf(i_0_110, plain, (sum(n6,n3)=n9)).
% 0.18/0.42 cnf(i_0_109, plain, (sum(n6,n4)=n10)).
% 0.18/0.42 cnf(i_0_108, plain, (sum(n6,n5)=n0)).
% 0.18/0.42 cnf(i_0_107, plain, (sum(n6,n6)=n1)).
% 0.18/0.42 cnf(i_0_106, plain, (sum(n6,n7)=n2)).
% 0.18/0.42 cnf(i_0_105, plain, (sum(n6,n8)=n3)).
% 0.18/0.42 cnf(i_0_104, plain, (sum(n6,n9)=n4)).
% 0.18/0.42 cnf(i_0_103, plain, (sum(n6,n10)=n5)).
% 0.18/0.42 cnf(i_0_102, plain, (sum(n7,n0)=n7)).
% 0.18/0.42 cnf(i_0_101, plain, (sum(n7,n1)=n8)).
% 0.18/0.42 cnf(i_0_100, plain, (sum(n7,n2)=n9)).
% 0.18/0.42 cnf(i_0_99, plain, (sum(n7,n3)=n10)).
% 0.18/0.42 cnf(i_0_98, plain, (sum(n7,n4)=n0)).
% 0.18/0.42 cnf(i_0_97, plain, (sum(n7,n5)=n1)).
% 0.18/0.42 cnf(i_0_96, plain, (sum(n7,n6)=n2)).
% 0.18/0.42 cnf(i_0_95, plain, (sum(n7,n7)=n3)).
% 0.18/0.42 cnf(i_0_94, plain, (sum(n7,n8)=n4)).
% 0.18/0.42 cnf(i_0_93, plain, (sum(n7,n9)=n5)).
% 0.18/0.42 cnf(i_0_92, plain, (sum(n7,n10)=n6)).
% 0.18/0.42 cnf(i_0_91, plain, (sum(n8,n0)=n8)).
% 0.18/0.42 cnf(i_0_90, plain, (sum(n8,n1)=n9)).
% 0.18/0.42 cnf(i_0_89, plain, (sum(n8,n2)=n10)).
% 0.18/0.42 cnf(i_0_88, plain, (sum(n8,n3)=n0)).
% 0.18/0.42 cnf(i_0_87, plain, (sum(n8,n4)=n1)).
% 0.18/0.42 cnf(i_0_86, plain, (sum(n8,n5)=n2)).
% 0.18/0.42 cnf(i_0_85, plain, (sum(n8,n6)=n3)).
% 0.18/0.42 cnf(i_0_84, plain, (sum(n8,n7)=n4)).
% 0.18/0.42 cnf(i_0_83, plain, (sum(n8,n8)=n5)).
% 0.18/0.42 cnf(i_0_82, plain, (sum(n8,n9)=n6)).
% 0.18/0.42 cnf(i_0_81, plain, (sum(n8,n10)=n7)).
% 0.18/0.42 cnf(i_0_80, plain, (sum(n9,n0)=n9)).
% 0.18/0.42 cnf(i_0_79, plain, (sum(n9,n1)=n10)).
% 0.18/0.42 cnf(i_0_78, plain, (sum(n9,n2)=n0)).
% 0.18/0.42 cnf(i_0_77, plain, (sum(n9,n3)=n1)).
% 0.18/0.42 cnf(i_0_76, plain, (sum(n9,n4)=n2)).
% 0.18/0.42 cnf(i_0_75, plain, (sum(n9,n5)=n3)).
% 0.18/0.42 cnf(i_0_74, plain, (sum(n9,n6)=n4)).
% 0.18/0.42 cnf(i_0_73, plain, (sum(n9,n7)=n5)).
% 0.18/0.42 cnf(i_0_72, plain, (sum(n9,n8)=n6)).
% 0.18/0.42 cnf(i_0_71, plain, (sum(n9,n9)=n7)).
% 0.18/0.42 cnf(i_0_70, plain, (sum(n9,n10)=n8)).
% 0.18/0.42 cnf(i_0_69, plain, (sum(n10,n0)=n10)).
% 0.18/0.42 cnf(i_0_68, plain, (sum(n10,n1)=n0)).
% 0.18/0.42 cnf(i_0_67, plain, (sum(n10,n2)=n1)).
% 0.18/0.42 cnf(i_0_66, plain, (sum(n10,n3)=n2)).
% 0.18/0.42 cnf(i_0_65, plain, (sum(n10,n4)=n3)).
% 0.18/0.42 cnf(i_0_64, plain, (sum(n10,n5)=n4)).
% 0.18/0.42 cnf(i_0_63, plain, (sum(n10,n6)=n5)).
% 0.18/0.42 cnf(i_0_62, plain, (sum(n10,n7)=n6)).
% 0.18/0.42 cnf(i_0_61, plain, (sum(n10,n8)=n7)).
% 0.18/0.42 cnf(i_0_60, plain, (sum(n10,n9)=n8)).
% 0.18/0.42 cnf(i_0_59, plain, (sum(n10,n10)=n9)).
% 0.18/0.42 cnf(i_0_55, plain, (n0!=n1)).
% 0.18/0.42 cnf(i_0_54, plain, (n0!=n2)).
% 0.18/0.42 cnf(i_0_45, plain, (n2!=n1)).
% 0.18/0.42 cnf(i_0_53, plain, (n0!=n3)).
% 0.18/0.42 cnf(i_0_44, plain, (n3!=n1)).
% 0.18/0.42 cnf(i_0_36, plain, (n3!=n2)).
% 0.18/0.42 cnf(i_0_52, plain, (n0!=n4)).
% 0.18/0.42 cnf(i_0_43, plain, (n4!=n1)).
% 0.18/0.42 cnf(i_0_35, plain, (n4!=n2)).
% 0.18/0.42 cnf(i_0_28, plain, (n4!=n3)).
% 0.18/0.42 cnf(i_0_51, plain, (n0!=n5)).
% 0.18/0.42 cnf(i_0_42, plain, (n5!=n1)).
% 0.18/0.42 cnf(i_0_34, plain, (n5!=n2)).
% 0.18/0.42 cnf(i_0_27, plain, (n5!=n3)).
% 0.18/0.42 cnf(i_0_21, plain, (n5!=n4)).
% 0.18/0.42 cnf(i_0_50, plain, (n0!=n6)).
% 0.18/0.42 cnf(i_0_41, plain, (n6!=n1)).
% 0.18/0.42 cnf(i_0_33, plain, (n6!=n2)).
% 0.18/0.42 cnf(i_0_26, plain, (n6!=n3)).
% 0.18/0.42 cnf(i_0_20, plain, (n6!=n4)).
% 0.18/0.42 cnf(i_0_15, plain, (n6!=n5)).
% 0.18/0.42 cnf(i_0_49, plain, (n0!=n7)).
% 0.18/0.42 cnf(i_0_40, plain, (n7!=n1)).
% 0.18/0.42 cnf(i_0_32, plain, (n7!=n2)).
% 0.18/0.42 cnf(i_0_25, plain, (n7!=n3)).
% 0.18/0.42 cnf(i_0_19, plain, (n7!=n4)).
% 0.18/0.42 cnf(i_0_14, plain, (n7!=n5)).
% 0.18/0.42 cnf(i_0_10, plain, (n7!=n6)).
% 0.18/0.42 cnf(i_0_48, plain, (n0!=n8)).
% 0.18/0.42 cnf(i_0_39, plain, (n8!=n1)).
% 0.18/0.42 cnf(i_0_31, plain, (n8!=n2)).
% 0.18/0.42 cnf(i_0_24, plain, (n8!=n3)).
% 0.18/0.42 cnf(i_0_18, plain, (n8!=n4)).
% 0.18/0.42 cnf(i_0_13, plain, (n8!=n5)).
% 0.18/0.42 cnf(i_0_9, plain, (n8!=n6)).
% 0.18/0.42 cnf(i_0_6, plain, (n8!=n7)).
% 0.18/0.42 cnf(i_0_47, plain, (n0!=n9)).
% 0.18/0.42 cnf(i_0_38, plain, (n9!=n1)).
% 0.18/0.42 cnf(i_0_30, plain, (n9!=n2)).
% 0.18/0.42 cnf(i_0_23, plain, (n9!=n3)).
% 0.18/0.42 cnf(i_0_17, plain, (n9!=n4)).
% 0.18/0.42 cnf(i_0_12, plain, (n9!=n5)).
% 0.18/0.42 cnf(i_0_8, plain, (n9!=n6)).
% 0.18/0.42 cnf(i_0_5, plain, (n9!=n7)).
% 0.18/0.42 cnf(i_0_3, plain, (n9!=n8)).
% 0.18/0.42 cnf(i_0_46, plain, (n0!=n10)).
% 0.18/0.42 cnf(i_0_37, plain, (n10!=n1)).
% 0.18/0.42 cnf(i_0_29, plain, (n10!=n2)).
% 0.18/0.42 cnf(i_0_22, plain, (n10!=n3)).
% 0.18/0.42 cnf(i_0_16, plain, (n10!=n4)).
% 0.18/0.42 cnf(i_0_11, plain, (n10!=n5)).
% 0.18/0.42 cnf(i_0_7, plain, (n10!=n6)).
% 0.18/0.42 cnf(i_0_4, plain, (n10!=n7)).
% 0.18/0.42 cnf(i_0_2, plain, (n10!=n8)).
% 0.18/0.42 cnf(i_0_1, plain, (n10!=n9)).
% 0.18/0.42 cnf(i_0_56, plain, (sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0)))!=sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))))).
% 0.18/0.42 cnf(i_0_58, plain, (esk1_0=n10|esk1_0=n9|esk1_0=n8|esk1_0=n7|esk1_0=n6|esk1_0=n5|esk1_0=n4|esk1_0=n3|esk1_0=n2|esk1_0=n1|esk1_0=n0)).
% 0.18/0.42 cnf(i_0_57, plain, (esk2_0=n10|esk2_0=n9|esk2_0=n8|esk2_0=n7|esk2_0=n6|esk2_0=n5|esk2_0=n4|esk2_0=n3|esk2_0=n2|esk2_0=n1|esk2_0=n0)).
% 0.18/0.42 cnf(i_0_973, plain, (X5=X5)).
% 0.18/0.42 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.18/0.42 # Begin printing tableau
% 0.18/0.42 # Found 5 steps
% 0.18/0.42 cnf(i_0_973, plain, (n0=n0), inference(start_rule)).
% 0.18/0.42 cnf(i_0_1201, plain, (n0=n0), inference(extension_rule, [i_0_977])).
% 0.18/0.42 cnf(i_0_1231, plain, (succ(n0)=succ(n0)), inference(extension_rule, [i_0_976])).
% 0.18/0.42 cnf(i_0_1261, plain, (succ(n0)!=n1), inference(closure_rule, [i_0_201])).
% 0.18/0.42 cnf(i_0_1259, plain, (succ(n0)=n1), inference(etableau_closure_rule, [i_0_1259, ...])).
% 0.18/0.42 # End printing tableau
% 0.18/0.42 # SZS output end
% 0.18/0.42 # Branches closed with saturation will be marked with an "s"
% 0.18/0.43 # Child (27297) has found a proof.
% 0.18/0.43
% 0.18/0.43 # Proof search is over...
% 0.18/0.43 # Freeing feature tree
%------------------------------------------------------------------------------