TSTP Solution File: ALG078+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n032.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 : Thu Jul 14 16:51:27 EDT 2022
% Result : Theorem 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.10 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 7 22:10:36 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.32 # No SInE strategy applied
% 0.14/0.32 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.32 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.32 #
% 0.14/0.32 # Presaturation interreduction done
% 0.14/0.32 # Number of axioms: 166 Number of unprocessed: 166
% 0.14/0.32 # Tableaux proof search.
% 0.14/0.32 # APR header successfully linked.
% 0.14/0.32 # Hello from C++
% 0.14/0.32 # The folding up rule is enabled...
% 0.14/0.32 # Local unification is enabled...
% 0.14/0.32 # Any saturation attempts will use folding labels...
% 0.14/0.32 # 166 beginning clauses after preprocessing and clausification
% 0.14/0.32 # Creating start rules for all 61 conjectures.
% 0.14/0.32 # There are 61 start rule candidates:
% 0.14/0.32 # Found 156 unit axioms.
% 0.14/0.32 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.32 # 61 start rule tableaux created.
% 0.14/0.32 # 10 extension rule candidate clauses
% 0.14/0.32 # 156 unit axiom clauses
% 0.14/0.32
% 0.14/0.32 # Requested 8, 32 cores available to the main process.
% 0.14/0.34 # Creating equality axioms
% 0.14/0.34 # Ran out of tableaux, making start rules for all clauses
% 0.14/0.34 # There were 1 total branch saturation attempts.
% 0.14/0.34 # There were 0 of these attempts blocked.
% 0.14/0.34 # There were 0 deferred branch saturation attempts.
% 0.14/0.34 # There were 0 free duplicated saturations.
% 0.14/0.34 # There were 1 total successful branch saturations.
% 0.14/0.34 # There were 0 successful branch saturations in interreduction.
% 0.14/0.34 # There were 0 successful branch saturations on the branch.
% 0.14/0.34 # There were 1 successful branch saturations after the branch.
% 0.14/0.34 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 # Begin clausification derivation
% 0.14/0.34
% 0.14/0.34 # End clausification derivation
% 0.14/0.34 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.34 cnf(i_0_156, negated_conjecture, (epred1_0)).
% 0.14/0.34 cnf(i_0_105, negated_conjecture, (h(j(e20))=e20)).
% 0.14/0.34 cnf(i_0_104, negated_conjecture, (h(j(e21))=e21)).
% 0.14/0.34 cnf(i_0_103, negated_conjecture, (h(j(e22))=e22)).
% 0.14/0.34 cnf(i_0_102, negated_conjecture, (h(j(e23))=e23)).
% 0.14/0.34 cnf(i_0_101, negated_conjecture, (h(j(e24))=e24)).
% 0.14/0.34 cnf(i_0_100, negated_conjecture, (j(h(e10))=e10)).
% 0.14/0.34 cnf(i_0_99, negated_conjecture, (j(h(e11))=e11)).
% 0.14/0.34 cnf(i_0_98, negated_conjecture, (j(h(e12))=e12)).
% 0.14/0.34 cnf(i_0_97, negated_conjecture, (j(h(e13))=e13)).
% 0.14/0.34 cnf(i_0_96, negated_conjecture, (j(h(e14))=e14)).
% 0.14/0.34 cnf(i_0_70, plain, (op1(e10,e10)=e10)).
% 0.14/0.34 cnf(i_0_69, plain, (op1(e10,e11)=e11)).
% 0.14/0.34 cnf(i_0_68, plain, (op1(e10,e12)=e12)).
% 0.14/0.34 cnf(i_0_67, plain, (op1(e10,e13)=e13)).
% 0.14/0.34 cnf(i_0_66, plain, (op1(e10,e14)=e14)).
% 0.14/0.34 cnf(i_0_65, plain, (op1(e11,e10)=e11)).
% 0.14/0.34 cnf(i_0_64, plain, (op1(e11,e11)=e14)).
% 0.14/0.34 cnf(i_0_63, plain, (op1(e11,e12)=e13)).
% 0.14/0.34 cnf(i_0_62, plain, (op1(e11,e13)=e10)).
% 0.14/0.34 cnf(i_0_61, plain, (op1(e11,e14)=e12)).
% 0.14/0.34 cnf(i_0_60, plain, (op1(e12,e10)=e12)).
% 0.14/0.34 cnf(i_0_59, plain, (op1(e12,e11)=e10)).
% 0.14/0.34 cnf(i_0_58, plain, (op1(e12,e12)=e14)).
% 0.14/0.34 cnf(i_0_57, plain, (op1(e12,e13)=e11)).
% 0.14/0.34 cnf(i_0_56, plain, (op1(e12,e14)=e13)).
% 0.14/0.34 cnf(i_0_55, plain, (op1(e13,e10)=e13)).
% 0.14/0.34 cnf(i_0_54, plain, (op1(e13,e11)=e12)).
% 0.14/0.34 cnf(i_0_53, plain, (op1(e13,e12)=e10)).
% 0.14/0.34 cnf(i_0_52, plain, (op1(e13,e13)=e14)).
% 0.14/0.34 cnf(i_0_51, plain, (op1(e13,e14)=e11)).
% 0.14/0.34 cnf(i_0_50, plain, (op1(e14,e10)=e14)).
% 0.14/0.34 cnf(i_0_49, plain, (op1(e14,e11)=e13)).
% 0.14/0.34 cnf(i_0_48, plain, (op1(e14,e12)=e11)).
% 0.14/0.34 cnf(i_0_47, plain, (op1(e14,e13)=e12)).
% 0.14/0.34 cnf(i_0_46, plain, (op1(e14,e14)=e10)).
% 0.14/0.34 cnf(i_0_95, plain, (op2(e20,e20)=e20)).
% 0.14/0.34 cnf(i_0_94, plain, (op2(e20,e21)=e21)).
% 0.14/0.34 cnf(i_0_93, plain, (op2(e20,e22)=e22)).
% 0.14/0.34 cnf(i_0_92, plain, (op2(e20,e23)=e23)).
% 0.14/0.34 cnf(i_0_91, plain, (op2(e20,e24)=e24)).
% 0.14/0.34 cnf(i_0_90, plain, (op2(e21,e20)=e21)).
% 0.14/0.34 cnf(i_0_89, plain, (op2(e21,e21)=e22)).
% 0.14/0.34 cnf(i_0_88, plain, (op2(e21,e22)=e24)).
% 0.14/0.34 cnf(i_0_87, plain, (op2(e21,e23)=e20)).
% 0.14/0.34 cnf(i_0_86, plain, (op2(e21,e24)=e23)).
% 0.14/0.34 cnf(i_0_85, plain, (op2(e22,e20)=e22)).
% 0.14/0.34 cnf(i_0_84, plain, (op2(e22,e21)=e20)).
% 0.14/0.34 cnf(i_0_83, plain, (op2(e22,e22)=e23)).
% 0.14/0.34 cnf(i_0_82, plain, (op2(e22,e23)=e24)).
% 0.14/0.34 cnf(i_0_81, plain, (op2(e22,e24)=e21)).
% 0.14/0.34 cnf(i_0_80, plain, (op2(e23,e20)=e23)).
% 0.14/0.34 cnf(i_0_79, plain, (op2(e23,e21)=e24)).
% 0.14/0.34 cnf(i_0_78, plain, (op2(e23,e22)=e20)).
% 0.14/0.34 cnf(i_0_77, plain, (op2(e23,e23)=e21)).
% 0.14/0.34 cnf(i_0_76, plain, (op2(e23,e24)=e22)).
% 0.14/0.34 cnf(i_0_75, plain, (op2(e24,e20)=e24)).
% 0.14/0.34 cnf(i_0_74, plain, (op2(e24,e21)=e23)).
% 0.14/0.34 cnf(i_0_73, plain, (op2(e24,e22)=e21)).
% 0.14/0.34 cnf(i_0_72, plain, (op2(e24,e23)=e22)).
% 0.14/0.34 cnf(i_0_71, plain, (op2(e24,e24)=e20)).
% 0.14/0.34 cnf(i_0_155, negated_conjecture, (op2(h(e10),h(e10))=h(e10))).
% 0.14/0.34 cnf(i_0_154, negated_conjecture, (op2(h(e10),h(e11))=h(e11))).
% 0.14/0.34 cnf(i_0_153, negated_conjecture, (op2(h(e10),h(e12))=h(e12))).
% 0.14/0.34 cnf(i_0_152, negated_conjecture, (op2(h(e10),h(e13))=h(e13))).
% 0.14/0.34 cnf(i_0_151, negated_conjecture, (op2(h(e10),h(e14))=h(e14))).
% 0.14/0.34 cnf(i_0_150, negated_conjecture, (op2(h(e11),h(e10))=h(e11))).
% 0.14/0.34 cnf(i_0_149, negated_conjecture, (op2(h(e11),h(e11))=h(e14))).
% 0.14/0.34 cnf(i_0_148, negated_conjecture, (op2(h(e11),h(e12))=h(e13))).
% 0.14/0.34 cnf(i_0_147, negated_conjecture, (op2(h(e11),h(e13))=h(e10))).
% 0.14/0.34 cnf(i_0_146, negated_conjecture, (op2(h(e11),h(e14))=h(e12))).
% 0.14/0.34 cnf(i_0_145, negated_conjecture, (op2(h(e12),h(e10))=h(e12))).
% 0.14/0.34 cnf(i_0_144, negated_conjecture, (op2(h(e12),h(e11))=h(e10))).
% 0.14/0.34 cnf(i_0_143, negated_conjecture, (op2(h(e12),h(e12))=h(e14))).
% 0.14/0.34 cnf(i_0_142, negated_conjecture, (op2(h(e12),h(e13))=h(e11))).
% 0.14/0.34 cnf(i_0_141, negated_conjecture, (op2(h(e12),h(e14))=h(e13))).
% 0.14/0.34 cnf(i_0_140, negated_conjecture, (op2(h(e13),h(e10))=h(e13))).
% 0.14/0.34 cnf(i_0_139, negated_conjecture, (op2(h(e13),h(e11))=h(e12))).
% 0.14/0.34 cnf(i_0_138, negated_conjecture, (op2(h(e13),h(e12))=h(e10))).
% 0.14/0.34 cnf(i_0_137, negated_conjecture, (op2(h(e13),h(e13))=h(e14))).
% 0.14/0.34 cnf(i_0_136, negated_conjecture, (op2(h(e13),h(e14))=h(e11))).
% 0.14/0.34 cnf(i_0_135, negated_conjecture, (op2(h(e14),h(e10))=h(e14))).
% 0.14/0.34 cnf(i_0_134, negated_conjecture, (op2(h(e14),h(e11))=h(e13))).
% 0.14/0.34 cnf(i_0_133, negated_conjecture, (op2(h(e14),h(e12))=h(e11))).
% 0.14/0.34 cnf(i_0_132, negated_conjecture, (op2(h(e14),h(e13))=h(e12))).
% 0.14/0.34 cnf(i_0_131, negated_conjecture, (op2(h(e14),h(e14))=h(e10))).
% 0.14/0.34 cnf(i_0_130, negated_conjecture, (op1(j(e20),j(e20))=j(e20))).
% 0.14/0.34 cnf(i_0_129, negated_conjecture, (op1(j(e20),j(e21))=j(e21))).
% 0.14/0.34 cnf(i_0_128, negated_conjecture, (op1(j(e20),j(e22))=j(e22))).
% 0.14/0.34 cnf(i_0_127, negated_conjecture, (op1(j(e20),j(e23))=j(e23))).
% 0.14/0.34 cnf(i_0_126, negated_conjecture, (op1(j(e20),j(e24))=j(e24))).
% 0.14/0.34 cnf(i_0_125, negated_conjecture, (op1(j(e21),j(e20))=j(e21))).
% 0.14/0.34 cnf(i_0_124, negated_conjecture, (op1(j(e21),j(e21))=j(e22))).
% 0.14/0.34 cnf(i_0_123, negated_conjecture, (op1(j(e21),j(e22))=j(e24))).
% 0.14/0.34 cnf(i_0_122, negated_conjecture, (op1(j(e21),j(e23))=j(e20))).
% 0.14/0.34 cnf(i_0_121, negated_conjecture, (op1(j(e21),j(e24))=j(e23))).
% 0.14/0.34 cnf(i_0_120, negated_conjecture, (op1(j(e22),j(e20))=j(e22))).
% 0.14/0.34 cnf(i_0_119, negated_conjecture, (op1(j(e22),j(e21))=j(e20))).
% 0.14/0.34 cnf(i_0_118, negated_conjecture, (op1(j(e22),j(e22))=j(e23))).
% 0.14/0.34 cnf(i_0_117, negated_conjecture, (op1(j(e22),j(e23))=j(e24))).
% 0.14/0.34 cnf(i_0_116, negated_conjecture, (op1(j(e22),j(e24))=j(e21))).
% 0.14/0.34 cnf(i_0_115, negated_conjecture, (op1(j(e23),j(e20))=j(e23))).
% 0.14/0.34 cnf(i_0_114, negated_conjecture, (op1(j(e23),j(e21))=j(e24))).
% 0.14/0.34 cnf(i_0_113, negated_conjecture, (op1(j(e23),j(e22))=j(e20))).
% 0.14/0.34 cnf(i_0_112, negated_conjecture, (op1(j(e23),j(e23))=j(e21))).
% 0.14/0.34 cnf(i_0_111, negated_conjecture, (op1(j(e23),j(e24))=j(e22))).
% 0.14/0.34 cnf(i_0_110, negated_conjecture, (op1(j(e24),j(e20))=j(e24))).
% 0.14/0.34 cnf(i_0_109, negated_conjecture, (op1(j(e24),j(e21))=j(e23))).
% 0.14/0.34 cnf(i_0_108, negated_conjecture, (op1(j(e24),j(e22))=j(e21))).
% 0.14/0.34 cnf(i_0_107, negated_conjecture, (op1(j(e24),j(e23))=j(e22))).
% 0.14/0.34 cnf(i_0_106, negated_conjecture, (op1(j(e24),j(e24))=j(e20))).
% 0.14/0.34 cnf(i_0_10, plain, (e11!=e10)).
% 0.14/0.34 cnf(i_0_9, plain, (e12!=e10)).
% 0.14/0.34 cnf(i_0_6, plain, (e12!=e11)).
% 0.14/0.34 cnf(i_0_8, plain, (e13!=e10)).
% 0.14/0.34 cnf(i_0_5, plain, (e13!=e11)).
% 0.14/0.34 cnf(i_0_3, plain, (e13!=e12)).
% 0.14/0.34 cnf(i_0_7, plain, (e14!=e10)).
% 0.14/0.34 cnf(i_0_4, plain, (e14!=e11)).
% 0.14/0.34 cnf(i_0_2, plain, (e14!=e12)).
% 0.14/0.34 cnf(i_0_1, plain, (e14!=e13)).
% 0.14/0.34 cnf(i_0_45, plain, (e10!=e20)).
% 0.14/0.34 cnf(i_0_40, plain, (e11!=e20)).
% 0.14/0.34 cnf(i_0_35, plain, (e12!=e20)).
% 0.14/0.34 cnf(i_0_30, plain, (e13!=e20)).
% 0.14/0.34 cnf(i_0_25, plain, (e14!=e20)).
% 0.14/0.34 cnf(i_0_44, plain, (e10!=e21)).
% 0.14/0.34 cnf(i_0_39, plain, (e11!=e21)).
% 0.14/0.34 cnf(i_0_34, plain, (e12!=e21)).
% 0.14/0.34 cnf(i_0_29, plain, (e13!=e21)).
% 0.14/0.34 cnf(i_0_24, plain, (e14!=e21)).
% 0.14/0.34 cnf(i_0_20, plain, (e21!=e20)).
% 0.14/0.34 cnf(i_0_43, plain, (e10!=e22)).
% 0.14/0.34 cnf(i_0_38, plain, (e11!=e22)).
% 0.14/0.34 cnf(i_0_33, plain, (e12!=e22)).
% 0.14/0.34 cnf(i_0_28, plain, (e13!=e22)).
% 0.14/0.34 cnf(i_0_23, plain, (e14!=e22)).
% 0.14/0.34 cnf(i_0_19, plain, (e22!=e20)).
% 0.14/0.34 cnf(i_0_16, plain, (e22!=e21)).
% 0.14/0.34 cnf(i_0_42, plain, (e10!=e23)).
% 0.14/0.34 cnf(i_0_37, plain, (e11!=e23)).
% 0.14/0.34 cnf(i_0_32, plain, (e12!=e23)).
% 0.14/0.34 cnf(i_0_27, plain, (e13!=e23)).
% 0.14/0.34 cnf(i_0_22, plain, (e14!=e23)).
% 0.14/0.34 cnf(i_0_18, plain, (e23!=e20)).
% 0.14/0.34 cnf(i_0_15, plain, (e23!=e21)).
% 0.14/0.34 cnf(i_0_13, plain, (e23!=e22)).
% 0.14/0.34 cnf(i_0_41, plain, (e10!=e24)).
% 0.14/0.34 cnf(i_0_36, plain, (e11!=e24)).
% 0.14/0.34 cnf(i_0_31, plain, (e12!=e24)).
% 0.14/0.34 cnf(i_0_26, plain, (e13!=e24)).
% 0.14/0.34 cnf(i_0_21, plain, (e14!=e24)).
% 0.14/0.34 cnf(i_0_17, plain, (e24!=e20)).
% 0.14/0.34 cnf(i_0_14, plain, (e24!=e21)).
% 0.14/0.34 cnf(i_0_12, plain, (e24!=e22)).
% 0.14/0.34 cnf(i_0_11, plain, (e24!=e23)).
% 0.14/0.34 cnf(i_0_166, plain, (h(e10)=e24|h(e10)=e23|h(e10)=e22|h(e10)=e21|h(e10)=e20)).
% 0.14/0.34 cnf(i_0_165, plain, (h(e11)=e24|h(e11)=e23|h(e11)=e22|h(e11)=e21|h(e11)=e20)).
% 0.14/0.34 cnf(i_0_164, plain, (h(e12)=e24|h(e12)=e23|h(e12)=e22|h(e12)=e21|h(e12)=e20)).
% 0.14/0.34 cnf(i_0_163, plain, (h(e13)=e24|h(e13)=e23|h(e13)=e22|h(e13)=e21|h(e13)=e20)).
% 0.14/0.34 cnf(i_0_162, plain, (h(e14)=e24|h(e14)=e23|h(e14)=e22|h(e14)=e21|h(e14)=e20)).
% 0.14/0.34 cnf(i_0_161, plain, (j(e20)=e14|j(e20)=e13|j(e20)=e12|j(e20)=e11|j(e20)=e10)).
% 0.14/0.34 cnf(i_0_160, plain, (j(e21)=e14|j(e21)=e13|j(e21)=e12|j(e21)=e11|j(e21)=e10)).
% 0.14/0.34 cnf(i_0_159, plain, (j(e22)=e14|j(e22)=e13|j(e22)=e12|j(e22)=e11|j(e22)=e10)).
% 0.14/0.34 cnf(i_0_158, plain, (j(e23)=e14|j(e23)=e13|j(e23)=e12|j(e23)=e11|j(e23)=e10)).
% 0.14/0.34 cnf(i_0_157, plain, (j(e24)=e14|j(e24)=e13|j(e24)=e12|j(e24)=e11|j(e24)=e10)).
% 0.14/0.34 cnf(i_0_628, plain, (X1=X1)).
% 0.14/0.34 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.14/0.34 # Begin printing tableau
% 0.14/0.34 # Found 6 steps
% 0.14/0.34 cnf(i_0_628, plain, (X6=X6), inference(start_rule)).
% 0.14/0.34 cnf(i_0_842, plain, (X6=X6), inference(extension_rule, [i_0_632])).
% 0.14/0.34 cnf(i_0_902, plain, (h(j(e20))!=e20), inference(closure_rule, [i_0_105])).
% 0.14/0.34 cnf(i_0_900, plain, (op1(X6,h(j(e20)))=op1(X6,e20)), inference(extension_rule, [i_0_633])).
% 0.14/0.34 cnf(i_0_1372, plain, (h(j(e20))!=e20), inference(closure_rule, [i_0_105])).
% 0.14/0.34 cnf(i_0_1370, plain, (op2(op1(X6,h(j(e20))),h(j(e20)))=op2(op1(X6,e20),e20)), inference(etableau_closure_rule, [i_0_1370, ...])).
% 0.14/0.34 # End printing tableau
% 0.14/0.34 # SZS output end
% 0.14/0.34 # Branches closed with saturation will be marked with an "s"
% 0.14/0.35 # Child (25319) has found a proof.
% 0.14/0.35
% 0.14/0.35 # Proof search is over...
% 0.14/0.35 # Freeing feature tree
%------------------------------------------------------------------------------