TSTP Solution File: LCL844-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL844-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n025.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 : Sun Jul 17 10:25:57 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL844-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 13:33:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 # No SInE strategy applied
% 0.12/0.34 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.12/0.34 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.34 #
% 0.12/0.34 # Number of axioms: 69 Number of unprocessed: 69
% 0.12/0.34 # Tableaux proof search.
% 0.12/0.34 # APR header successfully linked.
% 0.12/0.34 # Hello from C++
% 0.12/0.34 # The folding up rule is enabled...
% 0.12/0.34 # Local unification is enabled...
% 0.12/0.34 # Any saturation attempts will use folding labels...
% 0.12/0.34 # 69 beginning clauses after preprocessing and clausification
% 0.12/0.34 # Creating start rules for all 1 conjectures.
% 0.12/0.34 # There are 1 start rule candidates:
% 0.12/0.34 # Found 26 unit axioms.
% 0.12/0.34 # 1 start rule tableaux created.
% 0.12/0.34 # 43 extension rule candidate clauses
% 0.12/0.34 # 26 unit axiom clauses
% 0.12/0.34
% 0.12/0.34 # Requested 8, 32 cores available to the main process.
% 0.12/0.34 # There are not enough tableaux to fork, creating more from the initial 1
% 0.12/0.34 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.12/0.34 # There were 0 total branch saturation attempts.
% 0.12/0.34 # There were 0 of these attempts blocked.
% 0.12/0.34 # There were 0 deferred branch saturation attempts.
% 0.12/0.34 # There were 0 free duplicated saturations.
% 0.12/0.34 # There were 0 total successful branch saturations.
% 0.12/0.34 # There were 0 successful branch saturations in interreduction.
% 0.12/0.34 # There were 0 successful branch saturations on the branch.
% 0.12/0.34 # There were 0 successful branch saturations after the branch.
% 0.12/0.34 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 # Begin clausification derivation
% 0.12/0.34
% 0.12/0.34 # End clausification derivation
% 0.12/0.34 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.34 cnf(i_0_133, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.12/0.34 cnf(i_0_134, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.12/0.34 cnf(i_0_135, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.12/0.34 cnf(i_0_136, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.12/0.34 cnf(i_0_137, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.12/0.34 cnf(i_0_138, plain, (class_Orderings_Oorder(tc_nat))).
% 0.12/0.34 cnf(i_0_125, plain, (c_InductTermi_OIT(v_ta______))).
% 0.12/0.34 cnf(i_0_129, plain, (c_InductTermi_OIT(c_Lambda_OdB_OVar(X1)))).
% 0.12/0.34 cnf(i_0_132, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______)))).
% 0.12/0.34 cnf(i_0_128, plain, (c_Lambda_OdB_OAbs(X2)!=c_Lambda_OdB_OVar(X1))).
% 0.12/0.34 cnf(i_0_122, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.12/0.34 cnf(i_0_121, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.12/0.34 cnf(i_0_126, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.12/0.34 cnf(i_0_130, plain, (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))|~c_InductTermi_OIT(X1))).
% 0.12/0.34 cnf(i_0_71, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.12/0.34 cnf(i_0_114, plain, (c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OApp(X2,X3))).
% 0.12/0.34 cnf(i_0_124, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OApp(X2,X3))).
% 0.12/0.34 cnf(i_0_106, plain, (c_Lambda_OdB_OApp(X1,X2)!=c_Lambda_OdB_OVar(X3))).
% 0.12/0.34 cnf(i_0_123, plain, (c_Lambda_OdB_OApp(X1,X2)!=c_Lambda_OdB_OAbs(X3))).
% 0.12/0.34 cnf(i_0_118, plain, (~c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X2))).
% 0.12/0.34 cnf(i_0_127, plain, (c_InductTermi_OIT(c_Lambda_Olift(X1,X2))|~c_InductTermi_OIT(X1))).
% 0.12/0.34 cnf(i_0_116, plain, (X2=X4|c_Lambda_OdB_OApp(X1,X2)!=c_Lambda_OdB_OApp(X3,X4))).
% 0.12/0.34 cnf(i_0_117, plain, (X1=X3|c_Lambda_OdB_OApp(X1,X2)!=c_Lambda_OdB_OApp(X3,X4))).
% 0.12/0.34 cnf(i_0_131, plain, (c_Lambda_Obeta(c_Lambda_OdB_OAbs(X1),c_Lambda_OdB_OAbs(X2))|~c_Lambda_Obeta(X1,X2))).
% 0.12/0.34 cnf(i_0_108, plain, (c_InductTermi_OIT(c_Lambda_OdB_OApp(X1,c_Lambda_OdB_OVar(X2)))|~c_InductTermi_OIT(X1))).
% 0.12/0.34 cnf(i_0_72, plain, (X2=X3|c_Nat_Osemiring__1__class_Oof__nat(X2,X1)!=c_Nat_Osemiring__1__class_Oof__nat(X3,X1)|~class_Nat_Osemiring__char__0(X1))).
% 0.12/0.34 cnf(i_0_83, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.12/0.34 cnf(i_0_80, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)).
% 0.12/0.34 cnf(i_0_107, plain, (c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X2,X1))=X1|~c_Lambda_Obeta(c_Lambda_OdB_OAbs(X2),X1))).
% 0.12/0.34 cnf(i_0_119, plain, (c_Lambda_Obeta(X1,c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X1,X2))|~c_Lambda_Obeta(c_Lambda_OdB_OAbs(X1),X2))).
% 0.12/0.34 cnf(i_0_105, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)).
% 0.12/0.34 cnf(i_0_96, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.12/0.34 cnf(i_0_97, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.12/0.34 cnf(i_0_102, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.12/0.34 cnf(i_0_103, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.12/0.34 cnf(i_0_111, plain, (c_Lambda_Obeta(c_Lambda_OdB_OApp(X1,X2),c_Lambda_OdB_OApp(X3,X2))|~c_Lambda_Obeta(X1,X3))).
% 0.12/0.34 cnf(i_0_112, plain, (c_Lambda_Obeta(c_Lambda_OdB_OApp(X1,X2),c_Lambda_OdB_OApp(X1,X3))|~c_Lambda_Obeta(X2,X3))).
% 0.12/0.34 cnf(i_0_109, plain, (c_Lambda_Obeta(c_Lambda_Olift(X1,X2),c_Lambda_Olift(X3,X2))|~c_Lambda_Obeta(X1,X3))).
% 0.12/0.34 cnf(i_0_82, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.12/0.34 cnf(i_0_93, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.12/0.34 cnf(i_0_94, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.12/0.34 cnf(i_0_95, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.12/0.34 cnf(i_0_113, plain, (c_Lambda_OdB_OApp(c_Lambda_Olift(X1,X3),c_Lambda_Olift(X2,X3))=c_Lambda_Olift(c_Lambda_OdB_OApp(X1,X2),X3))).
% 0.12/0.34 cnf(i_0_110, plain, (c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.12/0.34 cnf(i_0_89, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.12/0.34 cnf(i_0_90, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.12/0.34 cnf(i_0_104, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2|c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.12/0.34 cnf(i_0_86, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.12/0.34 cnf(i_0_87, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.12/0.34 cnf(i_0_88, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.12/0.34 cnf(i_0_91, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.12/0.34 cnf(i_0_92, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.12/0.34 cnf(i_0_99, plain, (X1=X3|c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.12/0.34 cnf(i_0_120, plain, (c_InductTermi_OIT(c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))|~c_InductTermi_OIT(X1))).
% 0.12/0.34 cnf(i_0_70, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.12/0.34 cnf(i_0_81, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.12/0.34 cnf(i_0_115, plain, (c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X1),X2),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.12/0.34 cnf(i_0_75, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.12/0.34 cnf(i_0_76, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.12/0.34 cnf(i_0_77, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.12/0.34 cnf(i_0_78, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.12/0.34 cnf(i_0_85, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.12/0.34 cnf(i_0_73, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.12/0.34 cnf(i_0_84, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1))).
% 0.12/0.34 cnf(i_0_74, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1))).
% 0.12/0.34 cnf(i_0_100, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.12/0.34 cnf(i_0_101, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.12/0.34 cnf(i_0_98, plain, (c_Lambda_Obeta(c_Lambda_Osubst(X1,X2,X3),c_Lambda_Osubst(X4,X2,X3))|~c_Lambda_Obeta(X1,X4))).
% 0.12/0.34 cnf(i_0_79, plain, (c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X3,X4),c_Lambda_Osubst(X2,X3,X4))=c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X2),X3,X4))).
% 0.12/0.34 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.12/0.34 # Begin printing tableau
% 0.12/0.34 # Found 3 steps
% 0.12/0.34 cnf(i_0_132, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______))), inference(start_rule)).
% 0.12/0.34 cnf(i_0_139, plain, (~c_InductTermi_OIT(c_Lambda_OdB_OAbs(v_ta______))), inference(extension_rule, [i_0_130])).
% 0.12/0.34 cnf(i_0_145, plain, (~c_InductTermi_OIT(v_ta______)), inference(closure_rule, [i_0_125])).
% 0.12/0.34 # End printing tableau
% 0.12/0.34 # SZS output end
% 0.12/0.34 # Branches closed with saturation will be marked with an "s"
% 0.12/0.34 # Returning from population with 1 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.34 # We now have 1 tableaux to operate on
% 0.12/0.34 # Found closed tableau during pool population.
% 0.12/0.34 # Proof search is over...
% 0.12/0.34 # Freeing feature tree
%------------------------------------------------------------------------------