↑ Up

Etableau---0.67.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM538+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 : n018.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 09:42:06 EDT 2022

% Result   : Theorem 0.66s 0.81s
% Output   : CNFRefutation 0.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM538+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jul  6 20:12:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.37  # No SInE strategy applied
% 0.14/0.37  # Auto-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.14/0.37  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.14/0.37  #
% 0.14/0.37  # Number of axioms: 68 Number of unprocessed: 68
% 0.14/0.37  # Tableaux proof search.
% 0.14/0.37  # APR header successfully linked.
% 0.14/0.37  # Hello from C++
% 0.39/0.60  # The folding up rule is enabled...
% 0.39/0.60  # Local unification is enabled...
% 0.39/0.60  # Any saturation attempts will use folding labels...
% 0.39/0.60  # 68 beginning clauses after preprocessing and clausification
% 0.39/0.60  # Creating start rules for all 1 conjectures.
% 0.39/0.60  # There are 1 start rule candidates:
% 0.39/0.60  # Found 8 unit axioms.
% 0.39/0.60  # 1 start rule tableaux created.
% 0.39/0.60  # 60 extension rule candidate clauses
% 0.39/0.60  # 8 unit axiom clauses
% 0.39/0.60  
% 0.39/0.60  # Requested 8, 32 cores available to the main process.
% 0.39/0.60  # There are not enough tableaux to fork, creating more from the initial 1
% 0.66/0.81  # There were 12 total branch saturation attempts.
% 0.66/0.81  # There were 0 of these attempts blocked.
% 0.66/0.81  # There were 0 deferred branch saturation attempts.
% 0.66/0.81  # There were 7 free duplicated saturations.
% 0.66/0.81  # There were 12 total successful branch saturations.
% 0.66/0.81  # There were 0 successful branch saturations in interreduction.
% 0.66/0.81  # There were 0 successful branch saturations on the branch.
% 0.66/0.81  # There were 5 successful branch saturations after the branch.
% 0.66/0.81  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.81  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.81  # Begin clausification derivation
% 0.66/0.81  
% 0.66/0.81  # End clausification derivation
% 0.66/0.81  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.66/0.81  cnf(i_0_45, plain, (aSet0(szNzAzT0))).
% 0.66/0.81  cnf(i_0_71, hypothesis, (aSet0(xS))).
% 0.66/0.81  cnf(i_0_8, plain, (isFinite0(slcrc0))).
% 0.66/0.81  cnf(i_0_73, hypothesis, (isFinite0(xS))).
% 0.66/0.81  cnf(i_0_44, plain, (isCountable0(szNzAzT0))).
% 0.66/0.81  cnf(i_0_7, plain, (aSet0(X1)|X1!=slcrc0)).
% 0.66/0.81  cnf(i_0_46, plain, (aElementOf0(sz00,szNzAzT0))).
% 0.66/0.81  cnf(i_0_72, hypothesis, (aElementOf0(xx,xS))).
% 0.66/0.81  cnf(i_0_68, plain, (sbrdtbr0(X1)=sz00|X1!=slcrc0|~aSet0(X1))).
% 0.66/0.81  cnf(i_0_69, plain, (X1=slcrc0|sbrdtbr0(X1)!=sz00|~aSet0(X1))).
% 0.66/0.81  cnf(i_0_11, plain, (X1!=slcrc0|~aSet0(X1)|~isCountable0(X1))).
% 0.66/0.81  cnf(i_0_65, plain, (aElement0(sbrdtbr0(X1))|~aSet0(X1))).
% 0.66/0.81  cnf(i_0_10, plain, (~aSet0(X1)|~isFinite0(X1)|~isCountable0(X1))).
% 0.66/0.81  cnf(i_0_17, plain, (aSubsetOf0(X1,X1)|~aSet0(X1))).
% 0.66/0.81  cnf(i_0_6, plain, (X2!=slcrc0|~aElementOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_47, plain, (szszuzczcdt0(X1)!=sz00|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_52, plain, (szszuzczcdt0(X1)!=X1|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_5, plain, (X1=slcrc0|aElementOf0(esk1_1(X1),X1)|~aSet0(X1))).
% 0.66/0.81  cnf(i_0_54, plain, (sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_50, plain, (X1=sz00|szszuzczcdt0(esk5_1(X1))=X1|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_66, plain, (aElementOf0(sbrdtbr0(X1),szNzAzT0)|~aSet0(X1)|~isFinite0(X1))).
% 0.66/0.81  cnf(i_0_15, plain, (aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_3, plain, (aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1))).
% 0.66/0.81  cnf(i_0_59, plain, (sdtlseqdt0(X1,X1)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_48, plain, (aElementOf0(szszuzczcdt0(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_58, plain, (sdtlseqdt0(X1,szszuzczcdt0(X1))|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_64, plain, (iLess0(X1,szszuzczcdt0(X1))|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_51, plain, (X1=sz00|aElementOf0(esk5_1(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_67, plain, (isFinite0(X1)|~aSet0(X1)|~aElementOf0(sbrdtbr0(X1),szNzAzT0))).
% 0.66/0.81  cnf(i_0_16, plain, (isFinite0(X2)|~aSet0(X1)|~isFinite0(X1)|~aSubsetOf0(X2,X1))).
% 0.66/0.81  cnf(i_0_28, plain, (aSet0(X1)|X1!=sdtpldt0(X2,X3)|~aSet0(X2)|~aElement0(X3))).
% 0.66/0.81  cnf(i_0_37, plain, (aSet0(X1)|X1!=sdtmndt0(X2,X3)|~aSet0(X2)|~aElement0(X3))).
% 0.66/0.81  cnf(i_0_55, plain, (~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X1),sz00))).
% 0.66/0.81  cnf(i_0_42, plain, (isFinite0(sdtpldt0(X2,X1))|~aSet0(X2)|~aElement0(X1)|~isFinite0(X2))).
% 0.66/0.81  cnf(i_0_43, plain, (isFinite0(sdtmndt0(X2,X1))|~aSet0(X2)|~aElement0(X1)|~isFinite0(X2))).
% 0.66/0.81  cnf(i_0_40, plain, (isCountable0(sdtpldt0(X2,X1))|~aSet0(X2)|~aElement0(X1)|~isCountable0(X2))).
% 0.66/0.81  cnf(i_0_41, plain, (isCountable0(sdtmndt0(X2,X1))|~aSet0(X2)|~aElement0(X1)|~isCountable0(X2))).
% 0.66/0.81  cnf(i_0_49, plain, (X1=X2|szszuzczcdt0(X1)!=szszuzczcdt0(X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_18, plain, (X1=X2|~aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_24, plain, (aElementOf0(X1,X3)|X1!=X2|X3!=sdtpldt0(X4,X2)|~aSet0(X4)|~aElement0(X2)|~aElement0(X1))).
% 0.66/0.81  cnf(i_0_34, plain, (X1!=X2|X3!=sdtmndt0(X4,X2)|~aSet0(X4)|~aElement0(X2)|~aElementOf0(X1,X3))).
% 0.66/0.81  cnf(i_0_27, plain, (aElement0(X1)|X2!=sdtpldt0(X3,X4)|~aSet0(X3)|~aElement0(X4)|~aElementOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_36, plain, (aElement0(X1)|X2!=sdtmndt0(X3,X4)|~aSet0(X3)|~aElement0(X4)|~aElementOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_14, plain, (aElementOf0(X1,X3)|~aSet0(X3)|~aElementOf0(X1,X2)|~aSubsetOf0(X2,X3))).
% 0.66/0.81  cnf(i_0_13, plain, (aSubsetOf0(X2,X1)|aElementOf0(esk2_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))).
% 0.66/0.81  cnf(i_0_39, plain, (sdtmndt0(sdtpldt0(X2,X1),X1)=X2|aElementOf0(X1,X2)|~aSet0(X2)|~aElement0(X1))).
% 0.66/0.81  cnf(i_0_38, plain, (sdtpldt0(sdtmndt0(X1,X2),X2)=X1|~aSet0(X1)|~aElementOf0(X2,X1))).
% 0.66/0.81  cnf(i_0_35, plain, (aElementOf0(X1,X2)|X3!=sdtmndt0(X2,X4)|~aSet0(X2)|~aElement0(X4)|~aElementOf0(X1,X3))).
% 0.66/0.81  cnf(i_0_62, plain, (sdtlseqdt0(X1,X2)|sdtlseqdt0(szszuzczcdt0(X2),X1)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_70, plain, (sbrdtbr0(sdtpldt0(X1,X2))=szszuzczcdt0(sbrdtbr0(X1))|aElementOf0(X2,X1)|~aSet0(X1)|~aElement0(X2)|~isFinite0(X1))).
% 0.66/0.81  cnf(i_0_26, plain, (X1=X3|aElementOf0(X1,X2)|X4!=sdtpldt0(X2,X3)|~aSet0(X2)|~aElement0(X3)|~aElementOf0(X1,X4))).
% 0.66/0.81  cnf(i_0_19, plain, (aSubsetOf0(X1,X3)|~aSet0(X3)|~aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X3)|~aSubsetOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_74, negated_conjecture, (szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))!=sbrdtbr0(xS))).
% 0.66/0.81  cnf(i_0_25, plain, (aElementOf0(X1,X3)|X3!=sdtpldt0(X2,X4)|~aSet0(X2)|~aElement0(X4)|~aElement0(X1)|~aElementOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_33, plain, (X1=X3|aElementOf0(X1,X4)|X4!=sdtmndt0(X2,X3)|~aSet0(X2)|~aElement0(X3)|~aElement0(X1)|~aElementOf0(X1,X2))).
% 0.66/0.81  cnf(i_0_60, plain, (X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_57, plain, (sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_12, plain, (aSubsetOf0(X2,X1)|~aSet0(X2)|~aSet0(X1)|~aElementOf0(esk2_2(X1,X2),X1))).
% 0.66/0.81  cnf(i_0_56, plain, (sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)))).
% 0.66/0.81  cnf(i_0_61, plain, (sdtlseqdt0(X1,X3)|~sdtlseqdt0(X2,X3)|~sdtlseqdt0(X1,X2)|~aElementOf0(X3,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0))).
% 0.66/0.81  cnf(i_0_29, plain, (X3=sdtmndt0(X1,X2)|aElementOf0(esk4_3(X1,X2,X3),X3)|esk4_3(X1,X2,X3)!=X2|~aSet0(X3)|~aSet0(X1)|~aElement0(X2))).
% 0.66/0.81  cnf(i_0_21, plain, (X3=sdtpldt0(X1,X2)|aElement0(esk3_3(X1,X2,X3))|aElementOf0(esk3_3(X1,X2,X3),X3)|~aSet0(X3)|~aSet0(X1)|~aElement0(X2))).
% 0.66/0.81  cnf(i_0_31, plain, (X3=sdtmndt0(X1,X2)|aElement0(esk4_3(X1,X2,X3))|aElementOf0(esk4_3(X1,X2,X3),X3)|~aSet0(X3)|~aSet0(X1)|~aElement0(X2))).
% 0.66/0.81  cnf(i_0_30, plain, (X3=sdtmndt0(X1,X2)|aElementOf0(esk4_3(X1,X2,X3),X3)|aElementOf0(esk4_3(X1,X2,X3),X1)|~aSet0(X3)|~aSet0(X1)|~aElement0(X2))).
% 0.66/0.81  cnf(i_0_20, plain, (X3=sdtpldt0(X1,X2)|esk3_3(X1,X2,X3)=X2|aElementOf0(esk3_3(X1,X2,X3),X3)|aElementOf0(esk3_3(X1,X2,X3),X1)|~aSet0(X3)|~aSet0(X1)|~aElement0(X2))).
% 0.66/0.81  cnf(i_0_22, plain, (X3=sdtpldt0(X1,X2)|esk3_3(X1,X2,X3)!=X2|~aSet0(X3)|~aSet0(X1)|~aElement0(X2)|~aElement0(esk3_3(X1,X2,X3))|~aElementOf0(esk3_3(X1,X2,X3),X3))).
% 0.66/0.81  cnf(i_0_23, plain, (X3=sdtpldt0(X1,X2)|~aSet0(X3)|~aSet0(X1)|~aElement0(X2)|~aElement0(esk3_3(X1,X2,X3))|~aElementOf0(esk3_3(X1,X2,X3),X3)|~aElementOf0(esk3_3(X1,X2,X3),X1))).
% 0.66/0.81  cnf(i_0_32, plain, (X3=sdtmndt0(X1,X2)|esk4_3(X1,X2,X3)=X2|~aSet0(X3)|~aSet0(X1)|~aElement0(X2)|~aElement0(esk4_3(X1,X2,X3))|~aElementOf0(esk4_3(X1,X2,X3),X3)|~aElementOf0(esk4_3(X1,X2,X3),X1))).
% 0.66/0.81  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.66/0.81  # Begin printing tableau
% 0.66/0.81  # Found 9 steps
% 0.66/0.81  cnf(i_0_74, negated_conjecture, (szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))!=sbrdtbr0(xS)), inference(start_rule)).
% 0.66/0.81  cnf(i_0_75, plain, (szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))!=sbrdtbr0(xS)), inference(extension_rule, [i_0_60])).
% 0.66/0.81  cnf(i_0_248, plain, (~aElementOf0(sbrdtbr0(xS),szNzAzT0)), inference(extension_rule, [i_0_39])).
% 0.66/0.81  cnf(i_0_16254, plain, (~aSet0(szNzAzT0)), inference(closure_rule, [i_0_45])).
% 0.66/0.81  cnf(i_0_246, plain, (~sdtlseqdt0(sbrdtbr0(xS),szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))))), inference(etableau_closure_rule, [i_0_246, ...])).
% 0.66/0.81  cnf(i_0_247, plain, (~sdtlseqdt0(szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))),sbrdtbr0(xS))), inference(etableau_closure_rule, [i_0_247, ...])).
% 0.66/0.81  cnf(i_0_249, plain, (~aElementOf0(szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))),szNzAzT0)), inference(etableau_closure_rule, [i_0_249, ...])).
% 0.66/0.81  cnf(i_0_16252, plain, (sdtmndt0(sdtpldt0(szNzAzT0,sbrdtbr0(xS)),sbrdtbr0(xS))=szNzAzT0), inference(etableau_closure_rule, [i_0_16252, ...])).
% 0.66/0.81  cnf(i_0_16255, plain, (~aElement0(sbrdtbr0(xS))), inference(etableau_closure_rule, [i_0_16255, ...])).
% 0.66/0.81  # End printing tableau
% 0.66/0.81  # SZS output end
% 0.66/0.81  # Branches closed with saturation will be marked with an "s"
% 0.66/0.81  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.66/0.81  # We now have 8 tableaux to operate on
% 0.66/0.81  # Found closed tableau during pool population.
% 0.66/0.81  # Proof search is over...
% 0.66/0.81  # Freeing feature tree
%------------------------------------------------------------------------------