TSTP Solution File: NUM536+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM536+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 : n016.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 09:42:05 EDT 2022

% Result   : Theorem 6.46s 6.68s
% Output   : CNFRefutation 6.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM536+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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 : Thu Jul  7 06:09:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 38 Number of unprocessed: 38
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # Hello from C++
% 0.12/0.37  # The folding up rule is enabled...
% 0.12/0.37  # Local unification is enabled...
% 0.12/0.37  # Any saturation attempts will use folding labels...
% 0.12/0.37  # 38 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 1 conjectures.
% 0.12/0.37  # There are 1 start rule candidates:
% 0.12/0.37  # Found 8 unit axioms.
% 0.12/0.37  # 1 start rule tableaux created.
% 0.12/0.37  # 30 extension rule candidate clauses
% 0.12/0.37  # 8 unit axiom clauses
% 0.12/0.37  
% 0.12/0.37  # Requested 8, 32 cores available to the main process.
% 0.12/0.37  # There are not enough tableaux to fork, creating more from the initial 1
% 6.46/6.68  # There were 5 total branch saturation attempts.
% 6.46/6.68  # There were 0 of these attempts blocked.
% 6.46/6.68  # There were 0 deferred branch saturation attempts.
% 6.46/6.68  # There were 0 free duplicated saturations.
% 6.46/6.68  # There were 4 total successful branch saturations.
% 6.46/6.68  # There were 0 successful branch saturations in interreduction.
% 6.46/6.68  # There were 0 successful branch saturations on the branch.
% 6.46/6.68  # There were 4 successful branch saturations after the branch.
% 6.46/6.68  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.46/6.68  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.46/6.68  # Begin clausification derivation
% 6.46/6.68  
% 6.46/6.68  # End clausification derivation
% 6.46/6.68  # Begin listing active clauses obtained from FOF to CNF conversion
% 6.46/6.68  cnf(i_0_39, hypothesis, (aSet0(xS))).
% 6.46/6.68  cnf(i_0_40, hypothesis, (aElement0(xx))).
% 6.46/6.68  cnf(i_0_8, plain, (isFinite0(slcrc0))).
% 6.46/6.68  cnf(i_0_7, plain, (aSet0(slcrc0))).
% 6.46/6.68  cnf(i_0_42, negated_conjecture, (sdtmndt0(sdtpldt0(xS,xx),xx)!=xS)).
% 6.46/6.68  cnf(i_0_41, hypothesis, (~aElementOf0(xx,xS))).
% 6.46/6.68  cnf(i_0_6, plain, (~aElementOf0(X1,slcrc0))).
% 6.46/6.68  cnf(i_0_11, plain, (~isCountable0(slcrc0))).
% 6.46/6.68  cnf(i_0_10, plain, (~isCountable0(X1)|~isFinite0(X1)|~aSet0(X1))).
% 6.46/6.68  cnf(i_0_17, plain, (aSubsetOf0(X1,X1)|~aSet0(X1))).
% 6.46/6.68  cnf(i_0_15, plain, (aSet0(X1)|~aSubsetOf0(X1,X2)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_3, plain, (aElement0(X1)|~aElementOf0(X1,X2)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_38, plain, (sdtpldt0(sdtmndt0(X1,X2),X2)=X1|~aElementOf0(X2,X1)|~aSet0(X1))).
% 6.46/6.68  cnf(i_0_5, plain, (X1=slcrc0|aElementOf0(esk1_1(X1),X1)|~aSet0(X1))).
% 6.46/6.68  cnf(i_0_16, plain, (isFinite0(X1)|~aSubsetOf0(X1,X2)|~isFinite0(X2)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_28, plain, (aSet0(sdtpldt0(X1,X2))|~aElement0(X2)|~aSet0(X1))).
% 6.46/6.68  cnf(i_0_37, plain, (aSet0(sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1))).
% 6.46/6.68  cnf(i_0_13, plain, (aSubsetOf0(X1,X2)|aElementOf0(esk2_2(X2,X1),X1)|~aSet0(X1)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_34, plain, (~aElementOf0(X1,sdtmndt0(X2,X1))|~aElement0(X1)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_18, plain, (X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_12, plain, (aSubsetOf0(X1,X2)|~aElementOf0(esk2_2(X2,X1),X2)|~aSet0(X1)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_24, plain, (aElementOf0(X1,sdtpldt0(X2,X1))|~aElement0(X1)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_14, plain, (aElementOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aElementOf0(X1,X3)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_27, plain, (aElement0(X1)|~aElementOf0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_36, plain, (aElement0(X1)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_35, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_19, plain, (aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_25, plain, (aElementOf0(X1,sdtpldt0(X2,X3))|~aElementOf0(X1,X2)|~aElement0(X3)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_26, plain, (X1=X2|aElementOf0(X1,X3)|~aElementOf0(X1,sdtpldt0(X3,X2))|~aElement0(X2)|~aSet0(X3))).
% 6.46/6.68  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))).
% 6.46/6.68  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))).
% 6.46/6.68  cnf(i_0_21, plain, (X1=sdtpldt0(X2,X3)|aElement0(esk3_3(X2,X3,X1))|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 6.46/6.68  cnf(i_0_33, plain, (X1=X2|aElementOf0(X1,sdtmndt0(X3,X2))|~aElementOf0(X1,X3)|~aElement0(X2)|~aSet0(X3))).
% 6.46/6.68  cnf(i_0_31, plain, (X1=sdtmndt0(X2,X3)|aElement0(esk4_3(X2,X3,X1))|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 6.46/6.68  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))).
% 6.46/6.68  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))).
% 6.46/6.68  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))).
% 6.46/6.68  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))).
% 6.46/6.68  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 6.46/6.68  # Begin printing tableau
% 6.46/6.68  # Found 10 steps
% 6.46/6.68  cnf(i_0_42, negated_conjecture, (sdtmndt0(sdtpldt0(xS,xx),xx)!=xS), inference(start_rule)).
% 6.46/6.68  cnf(i_0_58, plain, (sdtmndt0(sdtpldt0(xS,xx),xx)!=xS), inference(extension_rule, [i_0_30])).
% 6.46/6.68  cnf(i_0_169, plain, (~aElement0(xx)), inference(closure_rule, [i_0_40])).
% 6.46/6.68  cnf(i_0_170, plain, (~aSet0(xS)), inference(closure_rule, [i_0_39])).
% 6.46/6.68  cnf(i_0_167, plain, (aElementOf0(esk4_3(sdtpldt0(xS,xx),xx,xS),sdtpldt0(xS,xx))), inference(extension_rule, [i_0_14])).
% 6.46/6.68  cnf(i_0_533373, plain, (aElementOf0(esk4_3(sdtpldt0(xS,xx),xx,xS),slcrc0)), inference(closure_rule, [i_0_6])).
% 6.46/6.68  cnf(i_0_533376, plain, (~aSet0(slcrc0)), inference(closure_rule, [i_0_7])).
% 6.46/6.68  cnf(i_0_168, plain, (aElementOf0(esk4_3(sdtpldt0(xS,xx),xx,xS),xS)), inference(etableau_closure_rule, [i_0_168, ...])).
% 6.46/6.68  cnf(i_0_171, plain, (~aSet0(sdtpldt0(xS,xx))), inference(etableau_closure_rule, [i_0_171, ...])).
% 6.46/6.68  cnf(i_0_533374, plain, (~aSubsetOf0(sdtpldt0(xS,xx),slcrc0)), inference(etableau_closure_rule, [i_0_533374, ...])).
% 6.46/6.68  # End printing tableau
% 6.46/6.68  # SZS output end
% 6.46/6.68  # Branches closed with saturation will be marked with an "s"
% 6.46/6.68  # Returning from population with 6 new_tableaux and 0 remaining starting tableaux.
% 6.46/6.68  # We now have 6 tableaux to operate on
% 6.46/6.68  # Found closed tableau during pool population.
% 6.46/6.68  # Proof search is over...
% 6.46/6.68  # Freeing feature tree
%------------------------------------------------------------------------------