TSTP Solution File: NUM527+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM527+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 09:41:59 EDT 2022
% Result : Theorem 3.79s 0.85s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM527+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % 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 : Tue Jul 5 08:35:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.37 # No SInE strategy applied
% 0.18/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.18/0.37 # and selection function SelectCQArNTNpEqFirst.
% 0.18/0.37 #
% 0.18/0.37 # Presaturation interreduction done
% 0.18/0.37 # Number of axioms: 83 Number of unprocessed: 78
% 0.18/0.37 # Tableaux proof search.
% 0.18/0.37 # APR header successfully linked.
% 0.18/0.37 # 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 # 78 beginning clauses after preprocessing and clausification
% 0.18/0.38 # Creating start rules for all 2 conjectures.
% 0.18/0.38 # There are 2 start rule candidates:
% 0.18/0.38 # Found 19 unit axioms.
% 0.18/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.38 # 2 start rule tableaux created.
% 0.18/0.38 # 59 extension rule candidate clauses
% 0.18/0.38 # 19 unit axiom clauses
% 0.18/0.38
% 0.18/0.38 # Requested 8, 32 cores available to the main process.
% 0.18/0.38 # There are not enough tableaux to fork, creating more from the initial 2
% 0.18/0.38 # Returning from population with 17 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.38 # We now have 17 tableaux to operate on
% 3.79/0.84 # Creating equality axioms
% 3.79/0.84 # Ran out of tableaux, making start rules for all clauses
% 3.79/0.85 # There were 1 total branch saturation attempts.
% 3.79/0.85 # There were 0 of these attempts blocked.
% 3.79/0.85 # There were 0 deferred branch saturation attempts.
% 3.79/0.85 # There were 0 free duplicated saturations.
% 3.79/0.85 # There were 1 total successful branch saturations.
% 3.79/0.85 # There were 0 successful branch saturations in interreduction.
% 3.79/0.85 # There were 0 successful branch saturations on the branch.
% 3.79/0.85 # There were 1 successful branch saturations after the branch.
% 3.79/0.85 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.79/0.85 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.79/0.85 # Begin clausification derivation
% 3.79/0.85
% 3.79/0.85 # End clausification derivation
% 3.79/0.85 # Begin listing active clauses obtained from FOF to CNF conversion
% 3.79/0.85 cnf(i_0_86, negated_conjecture, (sdtlseqdt0(xn,xm))).
% 3.79/0.85 cnf(i_0_77, hypothesis, (aNaturalNumber0(xn))).
% 3.79/0.85 cnf(i_0_2, plain, (aNaturalNumber0(sz00))).
% 3.79/0.85 cnf(i_0_4, plain, (aNaturalNumber0(sz10))).
% 3.79/0.85 cnf(i_0_76, hypothesis, (aNaturalNumber0(xm))).
% 3.79/0.85 cnf(i_0_75, hypothesis, (aNaturalNumber0(xp))).
% 3.79/0.85 cnf(i_0_80, hypothesis, (isPrime0(xp))).
% 3.79/0.85 cnf(i_0_79, hypothesis, (sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn))).
% 3.79/0.85 cnf(i_0_81, hypothesis, (doDivides0(xp,xn))).
% 3.79/0.85 cnf(i_0_82, hypothesis, (doDivides0(xp,sdtasdt0(xn,xn)))).
% 3.79/0.85 cnf(i_0_83, hypothesis, (sdtsldt0(xn,xp)=xq)).
% 3.79/0.85 cnf(i_0_84, hypothesis, (sdtasdt0(xp,sdtasdt0(xq,xq))=sdtasdt0(xm,xm))).
% 3.79/0.85 cnf(i_0_74, hypothesis, (xn!=sz00)).
% 3.79/0.85 cnf(i_0_73, hypothesis, (xm!=sz00)).
% 3.79/0.85 cnf(i_0_85, negated_conjecture, (~sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))).
% 3.79/0.85 cnf(i_0_3, plain, (sz10!=sz00)).
% 3.79/0.85 cnf(i_0_72, hypothesis, (xp!=sz00)).
% 3.79/0.85 cnf(i_0_67, plain, (~isPrime0(sz00))).
% 3.79/0.85 cnf(i_0_66, plain, (~isPrime0(sz10))).
% 3.79/0.85 cnf(i_0_32, plain, (sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_9, plain, (sdtpldt0(sz00,X1)=X1|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_15, plain, (sdtasdt0(sz00,X1)=sz00|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_16, plain, (sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_13, plain, (sdtasdt0(sz10,X1)=X1|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_14, plain, (sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_10, plain, (sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_6, plain, (aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_23, plain, (X1=sz00|sdtpldt0(X2,X1)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_24, plain, (X1=sz00|sdtpldt0(X1,X2)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_45, plain, (X1=sz10|X1=sz00|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_5, plain, (aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_11, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_33, plain, (X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_35, plain, (sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_70, plain, (X1=sz10|X1=sz00|aNaturalNumber0(esk4_1(X1))|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_68, plain, (X1=sz10|X1=sz00|isPrime0(esk4_1(X1))|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_28, plain, (aNaturalNumber0(esk1_2(X1,X2))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_52, plain, (aNaturalNumber0(esk2_2(X1,X2))|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_59, plain, (X1=sz00|sdtlseqdt0(X2,X1)|~doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_62, plain, (X1=sz10|X1=sz00|isPrime0(X1)|esk3_1(X1)!=sz10|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_25, plain, (X1=sz00|X2=sz00|sdtasdt0(X1,X2)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_47, plain, (X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_61, plain, (X1=sz10|X1=sz00|isPrime0(X1)|esk3_1(X1)!=X1|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_31, plain, (aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_64, plain, (X1=sz10|X1=sz00|isPrime0(X1)|aNaturalNumber0(esk3_1(X1))|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_69, plain, (X1=sz10|X1=sz00|doDivides0(esk4_1(X1),X1)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_49, plain, (X1=X2|iLess0(X1,X2)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_20, plain, (X1=X2|sdtpldt0(X3,X1)!=sdtpldt0(X3,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3))).
% 3.79/0.85 cnf(i_0_19, plain, (X1=X2|sdtpldt0(X1,X3)!=sdtpldt0(X2,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_7, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_50, plain, (doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_34, plain, (sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_26, plain, (sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_63, plain, (X1=sz10|X1=sz00|isPrime0(X1)|doDivides0(esk3_1(X1),X1)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_51, plain, (sdtasdt0(X1,esk2_2(X1,X2))=X2|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_65, plain, (X1=sz10|X1=X2|~isPrime0(X2)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_58, plain, (doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_56, plain, (doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_27, plain, (sdtpldt0(X1,esk1_2(X1,X2))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_12, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_22, plain, (X1=sz00|X2=X3|sdtasdt0(X1,X2)!=sdtasdt0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_21, plain, (X1=sz00|X2=X3|sdtasdt0(X2,X1)!=sdtasdt0(X3,X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_55, plain, (X1=sz00|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_30, plain, (sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_57, plain, (doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_71, plain, (doDivides0(X1,X2)|doDivides0(X1,X3)|~isPrime0(X1)|~doDivides0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_8, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_54, plain, (sdtasdt0(X1,sdtsldt0(X2,X1))=X2|X1=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_18, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_29, plain, (sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_39, plain, (X1=X2|sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3))).
% 3.79/0.85 cnf(i_0_37, plain, (X1=X2|sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_17, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_43, plain, (X1=sz00|X2=X3|sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))|~sdtlseqdt0(X2,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 cnf(i_0_41, plain, (X1=sz00|X2=X3|sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))|~sdtlseqdt0(X2,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_53, plain, (sdtsldt0(sdtasdt0(X1,X2),X1)=X2|X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 3.79/0.85 cnf(i_0_60, plain, (sdtsldt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtsldt0(X2,X3))|X3=sz00|~doDivides0(X3,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3))).
% 3.79/0.85 cnf(i_0_78, hypothesis, (X1=sz00|X2=sz00|X3=sz00|sdtasdt0(X3,sdtasdt0(X2,X2))!=sdtasdt0(X1,X1)|~isPrime0(X3)|~iLess0(X1,xn)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 3.79/0.85 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 3.79/0.85 # Begin printing tableau
% 3.79/0.85 # Found 6 steps
% 3.79/0.85 cnf(i_0_86, negated_conjecture, (sdtlseqdt0(xn,xm)), inference(start_rule)).
% 3.79/0.85 cnf(i_0_99, plain, (sdtlseqdt0(xn,xm)), inference(extension_rule, [i_0_31])).
% 3.79/0.85 cnf(i_0_447, plain, (~aNaturalNumber0(xn)), inference(closure_rule, [i_0_77])).
% 3.79/0.85 cnf(i_0_448, plain, (~aNaturalNumber0(xm)), inference(closure_rule, [i_0_76])).
% 3.79/0.85 cnf(i_0_445, plain, (aNaturalNumber0(sdtmndt0(xm,xn))), inference(extension_rule, [i_0_32])).
% 3.79/0.85 cnf(i_0_883, plain, (sdtlseqdt0(sdtmndt0(xm,xn),sdtmndt0(xm,xn))), inference(etableau_closure_rule, [i_0_883, ...])).
% 3.79/0.85 # End printing tableau
% 3.79/0.85 # SZS output end
% 3.79/0.85 # Branches closed with saturation will be marked with an "s"
% 3.79/0.85 # Child (16917) has found a proof.
% 3.79/0.85
% 3.79/0.85 # Proof search is over...
% 3.79/0.85 # Freeing feature tree
%------------------------------------------------------------------------------