TSTP Solution File: NUM471+2 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM471+2 : 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 : n021.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 09:41:22 EDT 2022
% Result : Theorem 6.58s 1.19s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM471+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 06:34:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.37 # No SInE strategy applied
% 0.13/0.37 # Auto-Mode selected heuristic U_____100_C07_23_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.37 #
% 0.13/0.37 # Presaturation interreduction done
% 0.13/0.37 # Number of axioms: 72 Number of unprocessed: 67
% 0.13/0.37 # Tableaux proof search.
% 0.13/0.37 # APR header successfully linked.
% 0.13/0.37 # Hello from C++
% 0.13/0.37 # The folding up rule is enabled...
% 0.13/0.37 # Local unification is enabled...
% 0.13/0.37 # Any saturation attempts will use folding labels...
% 0.13/0.37 # 67 beginning clauses after preprocessing and clausification
% 0.13/0.37 # Creating start rules for all 2 conjectures.
% 0.13/0.37 # There are 2 start rule candidates:
% 0.13/0.37 # Found 20 unit axioms.
% 0.13/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37 # 2 start rule tableaux created.
% 0.13/0.37 # 47 extension rule candidate clauses
% 0.13/0.37 # 20 unit axiom clauses
% 0.13/0.37
% 0.13/0.37 # Requested 8, 32 cores available to the main process.
% 0.13/0.37 # There are not enough tableaux to fork, creating more from the initial 2
% 0.13/0.37 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37 # We now have 11 tableaux to operate on
% 6.58/1.19 # There were 5 total branch saturation attempts.
% 6.58/1.19 # There were 0 of these attempts blocked.
% 6.58/1.19 # There were 0 deferred branch saturation attempts.
% 6.58/1.19 # There were 0 free duplicated saturations.
% 6.58/1.19 # There were 5 total successful branch saturations.
% 6.58/1.19 # There were 0 successful branch saturations in interreduction.
% 6.58/1.19 # There were 0 successful branch saturations on the branch.
% 6.58/1.19 # There were 5 successful branch saturations after the branch.
% 6.58/1.19 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.58/1.19 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.58/1.19 # Begin clausification derivation
% 6.58/1.19
% 6.58/1.19 # End clausification derivation
% 6.58/1.19 # Begin listing active clauses obtained from FOF to CNF conversion
% 6.58/1.19 cnf(i_0_2, plain, (aNaturalNumber0(sz00))).
% 6.58/1.19 cnf(i_0_4, plain, (aNaturalNumber0(sz10))).
% 6.58/1.19 cnf(i_0_60, hypothesis, (aNaturalNumber0(xl))).
% 6.58/1.19 cnf(i_0_59, hypothesis, (aNaturalNumber0(xm))).
% 6.58/1.19 cnf(i_0_58, hypothesis, (aNaturalNumber0(xn))).
% 6.58/1.19 cnf(i_0_70, hypothesis, (aNaturalNumber0(xp))).
% 6.58/1.19 cnf(i_0_73, hypothesis, (aNaturalNumber0(xq))).
% 6.58/1.19 cnf(i_0_66, hypothesis, (aNaturalNumber0(esk3_0))).
% 6.58/1.19 cnf(i_0_63, hypothesis, (aNaturalNumber0(esk4_0))).
% 6.58/1.19 cnf(i_0_64, hypothesis, (doDivides0(xl,xm))).
% 6.58/1.19 cnf(i_0_69, hypothesis, (sdtasdt0(xl,xp)=xm)).
% 6.58/1.19 cnf(i_0_65, hypothesis, (sdtasdt0(xl,esk3_0)=xm)).
% 6.58/1.19 cnf(i_0_68, hypothesis, (sdtsldt0(xm,xl)=xp)).
% 6.58/1.19 cnf(i_0_72, hypothesis, (sdtpldt0(xm,xn)=sdtasdt0(xl,xq))).
% 6.58/1.19 cnf(i_0_62, hypothesis, (sdtasdt0(xl,esk4_0)=sdtasdt0(xl,xq))).
% 6.58/1.19 cnf(i_0_61, hypothesis, (doDivides0(xl,sdtasdt0(xl,xq)))).
% 6.58/1.19 cnf(i_0_71, hypothesis, (sdtsldt0(sdtasdt0(xl,xq),xl)=xq)).
% 6.58/1.19 cnf(i_0_3, plain, (sz10!=sz00)).
% 6.58/1.19 cnf(i_0_67, hypothesis, (xl!=sz00)).
% 6.58/1.19 cnf(i_0_74, negated_conjecture, (~sdtlseqdt0(xp,xq))).
% 6.58/1.19 cnf(i_0_75, negated_conjecture, (sdtpldt0(xp,X1)!=xq|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_32, plain, (sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_23, plain, (X1=sz00|sdtpldt0(X2,X1)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_24, plain, (X1=sz00|sdtpldt0(X1,X2)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_33, plain, (X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_15, plain, (sdtasdt0(sz00,X1)=sz00|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_16, plain, (sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_9, plain, (sdtpldt0(sz00,X1)=X1|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_13, plain, (sdtasdt0(sz10,X1)=X1|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_10, plain, (sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_14, plain, (sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_45, plain, (X1=sz10|X1=sz00|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_5, plain, (aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_6, plain, (aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_49, plain, (X1=X2|iLess0(X1,X2)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_20, plain, (X1=X2|sdtpldt0(X3,X1)!=sdtpldt0(X3,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3))).
% 6.58/1.19 cnf(i_0_19, plain, (X1=X2|sdtpldt0(X1,X3)!=sdtpldt0(X2,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_25, plain, (X1=sz00|X2=sz00|sdtasdt0(X1,X2)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_28, plain, (aNaturalNumber0(esk1_2(X1,X2))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_52, plain, (aNaturalNumber0(esk2_2(X1,X2))|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_31, plain, (aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_7, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_11, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_35, plain, (sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_47, plain, (X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_50, plain, (doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 cnf(i_0_51, plain, (sdtasdt0(X1,esk2_2(X1,X2))=X2|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 cnf(i_0_27, plain, (sdtpldt0(X1,esk1_2(X1,X2))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_8, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_12, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_18, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_17, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_57, plain, (doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_39, plain, (X1=X2|sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3))).
% 6.58/1.19 cnf(i_0_37, plain, (X1=X2|sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_26, plain, (sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 cnf(i_0_22, plain, (X1=sz00|X2=X3|sdtasdt0(X1,X2)!=sdtasdt0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_21, plain, (X1=sz00|X2=X3|sdtasdt0(X2,X1)!=sdtasdt0(X3,X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 cnf(i_0_34, plain, (sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_56, plain, (doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_55, plain, (X1=sz00|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 cnf(i_0_30, plain, (sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))).
% 6.58/1.19 cnf(i_0_54, plain, (sdtasdt0(X1,sdtsldt0(X2,X1))=X2|X1=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 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))).
% 6.58/1.19 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))).
% 6.58/1.19 cnf(i_0_29, plain, (sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 cnf(i_0_53, plain, (sdtsldt0(sdtasdt0(X1,X2),X1)=X2|X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))).
% 6.58/1.19 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 6.58/1.19 # Begin printing tableau
% 6.58/1.19 # Found 11 steps
% 6.58/1.19 cnf(i_0_75, negated_conjecture, (sdtpldt0(xp,sz00)!=xq|~aNaturalNumber0(sz00)), inference(start_rule)).
% 6.58/1.19 cnf(i_0_86, plain, (~aNaturalNumber0(sz00)), inference(closure_rule, [i_0_2])).
% 6.58/1.19 cnf(i_0_85, plain, (sdtpldt0(xp,sz00)!=xq), inference(extension_rule, [i_0_20])).
% 6.58/1.19 cnf(i_0_132, plain, (~aNaturalNumber0(xq)), inference(closure_rule, [i_0_73])).
% 6.58/1.19 cnf(i_0_134, plain, (~aNaturalNumber0(sz00)), inference(closure_rule, [i_0_2])).
% 6.58/1.19 cnf(i_0_131, plain, (sdtpldt0(sz00,sdtpldt0(xp,sz00))!=sdtpldt0(sz00,xq)), inference(extension_rule, [i_0_33])).
% 6.58/1.19 cnf(i_0_133, plain, (~aNaturalNumber0(sdtpldt0(xp,sz00))), inference(etableau_closure_rule, [i_0_133, ...])).
% 6.58/1.19 cnf(i_0_2813, plain, (~sdtlseqdt0(sdtpldt0(sz00,xq),sdtpldt0(sz00,sdtpldt0(xp,sz00)))), inference(etableau_closure_rule, [i_0_2813, ...])).
% 6.58/1.19 cnf(i_0_2814, plain, (~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,sz00)),sdtpldt0(sz00,xq))), inference(etableau_closure_rule, [i_0_2814, ...])).
% 6.58/1.19 cnf(i_0_2815, plain, (~aNaturalNumber0(sdtpldt0(sz00,xq))), inference(etableau_closure_rule, [i_0_2815, ...])).
% 6.58/1.19 cnf(i_0_2816, plain, (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sz00)))), inference(etableau_closure_rule, [i_0_2816, ...])).
% 6.58/1.19 # End printing tableau
% 6.58/1.19 # SZS output end
% 6.58/1.19 # Branches closed with saturation will be marked with an "s"
% 6.58/1.20 # Child (21434) has found a proof.
% 6.58/1.20
% 6.58/1.20 # Proof search is over...
% 6.58/1.20 # Freeing feature tree
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