TSTP Solution File: NUM534+2 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM534+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 : n017.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 09:42:03 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM534+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % 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 : n017.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 : Thu Jul 7 06:08:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.37 # No SInE strategy applied
% 0.20/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.37 #
% 0.20/0.37 # Presaturation interreduction done
% 0.20/0.37 # Number of axioms: 46 Number of unprocessed: 46
% 0.20/0.37 # Tableaux proof search.
% 0.20/0.37 # APR header successfully linked.
% 0.20/0.37 # Hello from C++
% 0.20/0.37 # The folding up rule is enabled...
% 0.20/0.37 # Local unification is enabled...
% 0.20/0.37 # Any saturation attempts will use folding labels...
% 0.20/0.37 # 46 beginning clauses after preprocessing and clausification
% 0.20/0.37 # Creating start rules for all 11 conjectures.
% 0.20/0.37 # There are 11 start rule candidates:
% 0.20/0.37 # Found 10 unit axioms.
% 0.20/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.37 # 11 start rule tableaux created.
% 0.20/0.37 # 36 extension rule candidate clauses
% 0.20/0.37 # 10 unit axiom clauses
% 0.20/0.37
% 0.20/0.37 # Requested 8, 32 cores available to the main process.
% 0.20/0.50 # There were 2 total branch saturation attempts.
% 0.20/0.50 # There were 0 of these attempts blocked.
% 0.20/0.50 # There were 0 deferred branch saturation attempts.
% 0.20/0.50 # There were 0 free duplicated saturations.
% 0.20/0.50 # There were 2 total successful branch saturations.
% 0.20/0.50 # There were 0 successful branch saturations in interreduction.
% 0.20/0.50 # There were 0 successful branch saturations on the branch.
% 0.20/0.50 # There were 2 successful branch saturations after the branch.
% 0.20/0.50 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 # Begin clausification derivation
% 0.20/0.50
% 0.20/0.50 # End clausification derivation
% 0.20/0.50 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.50 cnf(i_0_38, hypothesis, (aSet0(xS))).
% 0.20/0.50 cnf(i_0_39, hypothesis, (aElementOf0(xx,xS))).
% 0.20/0.50 cnf(i_0_50, negated_conjecture, (aSet0(sdtmndt0(xS,xx)))).
% 0.20/0.50 cnf(i_0_45, negated_conjecture, (aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))).
% 0.20/0.50 cnf(i_0_8, plain, (isFinite0(slcrc0))).
% 0.20/0.50 cnf(i_0_7, plain, (aSet0(slcrc0))).
% 0.20/0.50 cnf(i_0_40, negated_conjecture, (sdtpldt0(sdtmndt0(xS,xx),xx)!=xS)).
% 0.20/0.50 cnf(i_0_6, plain, (~aElementOf0(X1,slcrc0))).
% 0.20/0.50 cnf(i_0_47, negated_conjecture, (~aElementOf0(xx,sdtmndt0(xS,xx)))).
% 0.20/0.50 cnf(i_0_11, plain, (~isCountable0(slcrc0))).
% 0.20/0.50 cnf(i_0_10, plain, (~isCountable0(X1)|~isFinite0(X1)|~aSet0(X1))).
% 0.20/0.50 cnf(i_0_49, negated_conjecture, (aElement0(X1)|~aElementOf0(X1,sdtmndt0(xS,xx)))).
% 0.20/0.50 cnf(i_0_48, negated_conjecture, (aElementOf0(X1,xS)|~aElementOf0(X1,sdtmndt0(xS,xx)))).
% 0.20/0.50 cnf(i_0_44, negated_conjecture, (aElement0(X1)|~aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)))).
% 0.20/0.50 cnf(i_0_17, plain, (aSubsetOf0(X1,X1)|~aSet0(X1))).
% 0.20/0.50 cnf(i_0_15, plain, (aSet0(X1)|~aSubsetOf0(X1,X2)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_3, plain, (aElement0(X1)|~aElementOf0(X1,X2)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_16, plain, (isFinite0(X1)|~aSubsetOf0(X1,X2)|~isFinite0(X2)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_28, plain, (aSet0(sdtpldt0(X1,X2))|~aElement0(X2)|~aSet0(X1))).
% 0.20/0.50 cnf(i_0_41, negated_conjecture, (aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(xx))).
% 0.20/0.50 cnf(i_0_43, negated_conjecture, (X1=xx|aElementOf0(X1,sdtmndt0(xS,xx))|~aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)))).
% 0.20/0.50 cnf(i_0_5, plain, (X1=slcrc0|aElementOf0(esk1_1(X1),X1)|~aSet0(X1))).
% 0.20/0.50 cnf(i_0_46, negated_conjecture, (X1=xx|aElementOf0(X1,sdtmndt0(xS,xx))|~aElementOf0(X1,xS)|~aElement0(X1))).
% 0.20/0.50 cnf(i_0_37, plain, (aSet0(sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1))).
% 0.20/0.50 cnf(i_0_18, plain, (X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_12, plain, (aSubsetOf0(X1,X2)|~aElementOf0(esk2_2(X2,X1),X2)|~aSet0(X1)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_42, negated_conjecture, (aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X1,sdtmndt0(xS,xx)))).
% 0.20/0.50 cnf(i_0_27, plain, (aElement0(X1)|~aElementOf0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_36, plain, (aElement0(X1)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_24, plain, (aElementOf0(X1,sdtpldt0(X2,X1))|~aElement0(X1)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_34, plain, (~aElementOf0(X1,sdtmndt0(X2,X1))|~aElement0(X1)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_14, plain, (aElementOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aElementOf0(X1,X3)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_19, plain, (aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_13, plain, (aSubsetOf0(X1,X2)|aElementOf0(esk2_2(X2,X1),X1)|~aSet0(X1)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_35, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aElement0(X3)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_25, plain, (aElementOf0(X1,sdtpldt0(X2,X3))|~aElementOf0(X1,X2)|~aElement0(X3)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_26, plain, (X1=X2|aElementOf0(X1,X3)|~aElementOf0(X1,sdtpldt0(X3,X2))|~aElement0(X2)|~aSet0(X3))).
% 0.20/0.50 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))).
% 0.20/0.50 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))).
% 0.20/0.50 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))).
% 0.20/0.50 cnf(i_0_21, plain, (X1=sdtpldt0(X2,X3)|aElement0(esk3_3(X2,X3,X1))|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 0.20/0.50 cnf(i_0_33, plain, (X1=X2|aElementOf0(X1,sdtmndt0(X3,X2))|~aElementOf0(X1,X3)|~aElement0(X2)|~aSet0(X3))).
% 0.20/0.50 cnf(i_0_31, plain, (X1=sdtmndt0(X2,X3)|aElement0(esk4_3(X2,X3,X1))|~aElement0(X3)|~aSet0(X1)|~aSet0(X2))).
% 0.20/0.50 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))).
% 0.20/0.50 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))).
% 0.20/0.50 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))).
% 0.20/0.50 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.20/0.50 # Begin printing tableau
% 0.20/0.50 # Found 6 steps
% 0.20/0.50 cnf(i_0_45, negated_conjecture, (aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))), inference(start_rule)).
% 0.20/0.50 cnf(i_0_87, plain, (aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))), inference(extension_rule, [i_0_17])).
% 0.20/0.50 cnf(i_0_374, plain, (aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),sdtpldt0(sdtmndt0(xS,xx),xx))), inference(extension_rule, [i_0_19])).
% 0.20/0.50 cnf(i_0_424, plain, (~aSet0(xS)), inference(closure_rule, [i_0_38])).
% 0.20/0.50 cnf(i_0_421, plain, (aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)), inference(etableau_closure_rule, [i_0_421, ...])).
% 0.20/0.50 cnf(i_0_422, plain, (~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)), inference(etableau_closure_rule, [i_0_422, ...])).
% 0.20/0.50 # End printing tableau
% 0.20/0.50 # SZS output end
% 0.20/0.50 # Branches closed with saturation will be marked with an "s"
% 0.20/0.50 # Child (5843) has found a proof.
% 0.20/0.50
% 0.20/0.50 # Proof search is over...
% 0.20/0.50 # Freeing feature tree
%------------------------------------------------------------------------------