TSTP Solution File: NUM535+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM535+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 : n027.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 09:42:04 EDT 2022

% Result   : Theorem 2.66s 2.85s
% Output   : CNFRefutation 2.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : NUM535+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.31  % Computer : n027.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Thu Jul  7 10:37:14 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.35  # No SInE strategy applied
% 0.11/0.35  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.35  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.11/0.35  #
% 0.11/0.35  # Presaturation interreduction done
% 0.11/0.35  # Number of axioms: 36 Number of unprocessed: 36
% 0.11/0.35  # Tableaux proof search.
% 0.11/0.35  # APR header successfully linked.
% 0.11/0.35  # Hello from C++
% 2.22/2.39  # The folding up rule is enabled...
% 2.22/2.39  # Local unification is enabled...
% 2.22/2.39  # Any saturation attempts will use folding labels...
% 2.22/2.39  # 36 beginning clauses after preprocessing and clausification
% 2.22/2.39  # Creating start rules for all 1 conjectures.
% 2.22/2.39  # There are 1 start rule candidates:
% 2.22/2.39  # Found 6 unit axioms.
% 2.22/2.39  # 1 start rule tableaux created.
% 2.22/2.39  # 30 extension rule candidate clauses
% 2.22/2.39  # 6 unit axiom clauses
% 2.22/2.39  
% 2.22/2.39  # Requested 8, 32 cores available to the main process.
% 2.22/2.39  # There are not enough tableaux to fork, creating more from the initial 1
% 2.66/2.85  # There were 4 total branch saturation attempts.
% 2.66/2.85  # There were 0 of these attempts blocked.
% 2.66/2.85  # There were 0 deferred branch saturation attempts.
% 2.66/2.85  # There were 0 free duplicated saturations.
% 2.66/2.85  # There were 4 total successful branch saturations.
% 2.66/2.85  # There were 0 successful branch saturations in interreduction.
% 2.66/2.85  # There were 0 successful branch saturations on the branch.
% 2.66/2.85  # There were 4 successful branch saturations after the branch.
% 2.66/2.85  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.85  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/2.85  # Begin clausification derivation
% 2.66/2.85  
% 2.66/2.85  # End clausification derivation
% 2.66/2.85  # Begin listing active clauses obtained from FOF to CNF conversion
% 2.66/2.85  cnf(i_0_38, hypothesis, (aSet0(xS))).
% 2.66/2.85  cnf(i_0_39, hypothesis, (aElementOf0(xx,xS))).
% 2.66/2.85  cnf(i_0_8, plain, (isFinite0(slcrc0))).
% 2.66/2.85  cnf(i_0_7, plain, (aSet0(slcrc0))).
% 2.66/2.85  cnf(i_0_6, plain, (~aElementOf0(X1,slcrc0))).
% 2.66/2.85  cnf(i_0_11, plain, (~isCountable0(slcrc0))).
% 2.66/2.85  cnf(i_0_40, negated_conjecture, (~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))).
% 2.66/2.85  cnf(i_0_10, plain, (~isCountable0(X1)|~isFinite0(X1)|~aSet0(X1))).
% 2.66/2.85  cnf(i_0_15, plain, (aSet0(X1)|~aSubsetOf0(X1,X2)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_17, plain, (aSubsetOf0(X1,X1)|~aSet0(X1))).
% 2.66/2.85  cnf(i_0_3, plain, (aElement0(X1)|~aElementOf0(X1,X2)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_16, plain, (isFinite0(X1)|~aSubsetOf0(X1,X2)|~isFinite0(X2)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_28, plain, (aSet0(sdtpldt0(X1,X2))|~aElement0(X2)|~aSet0(X1))).
% 2.66/2.85  cnf(i_0_5, plain, (X1=slcrc0|aElementOf0(esk1_1(X1),X1)|~aSet0(X1))).
% 2.66/2.85  cnf(i_0_37, plain, (aSet0(sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1))).
% 2.66/2.85  cnf(i_0_18, plain, (X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_12, plain, (aSubsetOf0(X1,X2)|~aElementOf0(esk2_2(X2,X1),X2)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_13, plain, (aSubsetOf0(X1,X2)|aElementOf0(esk2_2(X2,X1),X1)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_34, plain, (~aElementOf0(X1,sdtmndt0(X2,X1))|~aElement0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_14, plain, (aElementOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aElementOf0(X1,X3)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_19, plain, (aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_24, plain, (aElementOf0(X1,sdtpldt0(X2,X1))|~aElement0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_27, plain, (aElement0(X1)|~aElementOf0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_36, plain, (aElement0(X1)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_35, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_25, plain, (aElementOf0(X1,sdtpldt0(X2,X3))|~aElementOf0(X1,X2)|~aElement0(X3)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_26, plain, (X1=X2|aElementOf0(X1,X3)|~aElementOf0(X1,sdtpldt0(X3,X2))|~aElement0(X2)|~aSet0(X3))).
% 2.66/2.85  cnf(i_0_29, plain, (X1=sdtmndt0(X2,X3)|aElementOf0(esk4_3(X2,X3,X1),X1)|esk4_3(X2,X3,X1)!=X3|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_22, plain, (X1=sdtpldt0(X2,X3)|esk3_3(X2,X3,X1)!=X3|~aElementOf0(esk3_3(X2,X3,X1),X1)|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_23, plain, (X1=sdtpldt0(X2,X3)|~aElementOf0(esk3_3(X2,X3,X1),X1)|~aElementOf0(esk3_3(X2,X3,X1),X2)|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_21, plain, (X1=sdtpldt0(X2,X3)|aElement0(esk3_3(X2,X3,X1))|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_31, plain, (X1=sdtmndt0(X2,X3)|aElement0(esk4_3(X2,X3,X1))|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_33, plain, (X1=X2|aElementOf0(X1,sdtmndt0(X3,X2))|~aElementOf0(X1,X3)|~aElement0(X2)|~aSet0(X3))).
% 2.66/2.85  cnf(i_0_30, plain, (X1=sdtmndt0(X2,X3)|aElementOf0(esk4_3(X2,X3,X1),X2)|aElementOf0(esk4_3(X2,X3,X1),X1)|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 2.66/2.85  cnf(i_0_32, plain, (esk4_3(X1,X2,X3)=X2|X3=sdtmndt0(X1,X2)|~aElementOf0(esk4_3(X1,X2,X3),X3)|~aElementOf0(esk4_3(X1,X2,X3),X1)|~aElement0(X2)|~aSet0(X3)|~aSet0(X1))).
% 2.66/2.85  cnf(i_0_20, plain, (esk3_3(X1,X2,X3)=X2|X3=sdtpldt0(X1,X2)|aElementOf0(esk3_3(X1,X2,X3),X1)|aElementOf0(esk3_3(X1,X2,X3),X3)|~aElement0(X2)|~aSet0(X3)|~aSet0(X1))).
% 2.66/2.85  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 2.66/2.85  # Begin printing tableau
% 2.66/2.85  # Found 9 steps
% 2.66/2.85  cnf(i_0_40, negated_conjecture, (~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)), inference(start_rule)).
% 2.66/2.85  cnf(i_0_57, plain, (~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)), inference(extension_rule, [i_0_19])).
% 2.66/2.85  cnf(i_0_230, plain, (~aSet0(xS)), inference(closure_rule, [i_0_38])).
% 2.66/2.85  cnf(i_0_229, plain, (~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)), inference(extension_rule, [i_0_12])).
% 2.66/2.85  cnf(i_0_467, plain, (~aSet0(xS)), inference(closure_rule, [i_0_38])).
% 2.66/2.85  cnf(i_0_56, plain, (~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))), inference(etableau_closure_rule, [i_0_56, ...])).
% 2.66/2.85  cnf(i_0_228, plain, (~aSubsetOf0(xS,xS)), inference(etableau_closure_rule, [i_0_228, ...])).
% 2.66/2.85  cnf(i_0_465, plain, (~aElementOf0(esk2_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)), inference(etableau_closure_rule, [i_0_465, ...])).
% 2.66/2.85  cnf(i_0_466, plain, (~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))), inference(etableau_closure_rule, [i_0_466, ...])).
% 2.66/2.85  # End printing tableau
% 2.66/2.85  # SZS output end
% 2.66/2.85  # Branches closed with saturation will be marked with an "s"
% 2.66/2.85  # Returning from population with 6 new_tableaux and 0 remaining starting tableaux.
% 2.66/2.85  # We now have 6 tableaux to operate on
% 2.66/2.85  # Found closed tableau during pool population.
% 2.66/2.85  # Proof search is over...
% 2.66/2.85  # Freeing feature tree
%------------------------------------------------------------------------------