%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU536^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:26:37 AM UTC 2026
% Result : Theorem 0.23s 0.29s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU536^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n019.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 13:49:03 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.25 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p
% 0.23/0.29 % Version: 3.5.1-ho
% 0.23/0.29 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.23/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29 % Starting sh5l with 300s (1) cores
% 0.23/0.29 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.29 % Starting new_bool_2 with 300s (1) cores
% 0.23/0.29 % new_bool_2 with pid 794438 completed with status 0
% 0.23/0.29 % Result found by new_bool_2
% 0.23/0.29 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.23/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29 % Starting sh5l with 300s (1) cores
% 0.23/0.29 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.29 % Starting new_bool_2 with 300s (1) cores
% 0.23/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.29 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.23/0.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.29 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.29 % SubtermCWHack with pid 794443 completed with status 0
% 0.23/0.29 % Result found by SubtermCWHack
% 0.23/0.29 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.23/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29 % Starting sh5l with 300s (1) cores
% 0.23/0.29 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.29 % Starting new_bool_2 with 300s (1) cores
% 0.23/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.29 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.23/0.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.29 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.29 % Preprocessing time : 0.003 s
% 0.23/0.29
% 0.23/0.29 % Proof found!
% 0.23/0.29 % SZS status Theorem
% 0.23/0.29 % SZS output start CNFRefutation
% 0.23/0.29 thf(decl_23, type, in: $i > $i > $o).
% 0.23/0.29 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.23/0.29 thf(decl_25, type, setextAx: $o).
% 0.23/0.29 thf(decl_26, type, emptyset: $i).
% 0.23/0.29 thf(decl_27, type, emptysetAx: $o).
% 0.23/0.29 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.23/0.29 thf(decl_29, type, setadjoinAx: $o).
% 0.23/0.29 thf(decl_30, type, powerset: $i > $i).
% 0.23/0.29 thf(decl_31, type, powersetAx: $o).
% 0.23/0.29 thf(decl_32, type, setunion: $i > $i).
% 0.23/0.29 thf(decl_33, type, setunionAx: $o).
% 0.23/0.29 thf(decl_34, type, omega: $i).
% 0.23/0.29 thf(decl_35, type, omega0Ax: $o).
% 0.23/0.29 thf(decl_36, type, omegaSAx: $o).
% 0.23/0.29 thf(decl_37, type, omegaIndAx: $o).
% 0.23/0.29 thf(decl_38, type, replAx: $o).
% 0.23/0.29 thf(decl_39, type, foundationAx: $o).
% 0.23/0.29 thf(decl_40, type, wellorderingAx: $o).
% 0.23/0.29 thf(decl_42, type, descrp: $o).
% 0.23/0.29 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.23/0.29 thf(decl_44, type, dsetconstrI: $o).
% 0.23/0.29 thf(decl_45, type, dsetconstrEL: $o).
% 0.23/0.29 thf(decl_46, type, dsetconstrER: $o).
% 0.23/0.29 thf(decl_47, type, exuE1: $o).
% 0.23/0.29 thf(decl_48, type, prop2set: $o > $i).
% 0.23/0.29 thf(decl_49, type, prop2setE: $o).
% 0.23/0.29 thf(decl_50, type, emptysetE: $o).
% 0.23/0.29 thf(decl_51, type, emptysetimpfalse: $o).
% 0.23/0.29 thf(decl_52, type, notinemptyset: $o).
% 0.23/0.29 thf(decl_53, type, exuE3e: $o).
% 0.23/0.29 thf(decl_54, type, setext: $o).
% 0.23/0.29 thf(decl_55, type, emptyI: $o).
% 0.23/0.29 thf(decl_56, type, noeltsimpempty: $o).
% 0.23/0.29 thf(decl_57, type, setbeta: $o).
% 0.23/0.29 thf(decl_58, type, nonempty: $i > $o).
% 0.23/0.29 thf(decl_59, type, nonemptyE1: $o).
% 0.23/0.29 thf(decl_60, type, nonemptyI: $o).
% 0.23/0.29 thf(decl_61, type, nonemptyI1: $o).
% 0.23/0.29 thf(decl_62, type, setadjoinIL: $o).
% 0.23/0.29 thf(decl_63, type, emptyinunitempty: $o).
% 0.23/0.29 thf(decl_64, type, setadjoinIR: $o).
% 0.23/0.29 thf(decl_65, type, setadjoinE: $o).
% 0.23/0.29 thf(decl_66, type, setadjoinOr: $o).
% 0.23/0.29 thf(decl_67, type, setoftrueEq: $o).
% 0.23/0.29 thf(decl_68, type, powersetI: $o).
% 0.23/0.29 thf(decl_69, type, emptyinPowerset: $o).
% 0.23/0.29 thf(decl_70, type, emptyInPowerset: $o).
% 0.23/0.29 thf(decl_71, type, powersetE: $o).
% 0.23/0.29 thf(decl_72, type, setunionI: $o).
% 0.23/0.29 thf(decl_73, type, setunionE: $o).
% 0.23/0.29 thf(decl_74, type, subPowSU: $o).
% 0.23/0.29 thf(decl_75, type, exuE2: $o).
% 0.23/0.29 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.23/0.29 thf(decl_77, type, uniqinunit: $o).
% 0.23/0.29 thf(decl_78, type, notinsingleton: $o).
% 0.23/0.29 thf(decl_79, type, eqinunit: $o).
% 0.23/0.29 thf(decl_80, type, singletonsswitch: $o).
% 0.23/0.29 thf(decl_81, type, upairsetE: $o).
% 0.23/0.29 thf(decl_82, type, upairsetIL: $o).
% 0.23/0.29 thf(decl_83, type, upairsetIR: $o).
% 0.23/0.29 thf(decl_84, type, emptyE1: $o).
% 0.23/0.29 thf(decl_85, type, vacuousDall: $o).
% 0.23/0.29 thf(decl_86, type, epred1_0: $o).
% 0.23/0.29 thf(decl_87, type, esk1_2: $i > $i > $i).
% 0.23/0.29 thf(decl_88, type, esk2_2: $i > $i > $i).
% 0.23/0.29 thf(decl_89, type, esk3_2: $i > $i > $i).
% 0.23/0.29 thf(decl_90, type, esk4_1: $i > $i).
% 0.23/0.29 thf(decl_91, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.23/0.29 thf(decl_92, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.29 thf(decl_93, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.23/0.29 thf(decl_94, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.29 thf(decl_95, type, esk9_1: $i > $i).
% 0.23/0.29 thf(decl_96, type, esk10_2: ($i > $o) > $i > $i).
% 0.23/0.29 thf(decl_97, type, esk11_1: ($i > $o) > $i).
% 0.23/0.29 thf(decl_98, type, esk12_2: ($i > $o) > $i > $i).
% 0.23/0.29 thf(decl_99, type, esk13_1: ($i > $o) > $i).
% 0.23/0.29 thf(decl_100, type, esk14_2: $i > $i > $i).
% 0.23/0.29 thf(decl_101, type, esk15_2: $i > $i > $i).
% 0.23/0.29 thf(decl_102, type, esk16_1: $i > $i).
% 0.23/0.29 thf(decl_103, type, esk17_1: $i > $i).
% 0.23/0.29 thf(decl_104, type, esk18_1: $i > $i).
% 0.23/0.29 thf(decl_105, type, esk19_2: $i > $i > $i).
% 0.23/0.29 thf(decl_106, type, esk20_3: $i > $i > $o > $i).
% 0.23/0.29 thf(decl_107, type, esk21_2: ($i > $o) > $i > $i).
% 0.23/0.29 thf(decl_108, type, esk22_1: ($i > $o) > $i).
% 0.23/0.29 thf(decl_109, type, esk23_1: $i > $i).
% 0.23/0.29 thf(decl_110, type, esk24_0: $i).
% 0.23/0.29 thf(decl_111, type, epred2_0: $i > $o).
% 0.23/0.29 thf(decl_112, type, esk25_0: $i).
% 0.23/0.29 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', nonempty)).
% 0.23/0.29 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', replAx)).
% 0.23/0.29 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', exu)).
% 0.23/0.29 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', exuE3e)).
% 0.23/0.29 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', prop2set)).
% 0.23/0.29 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', exuE1)).
% 0.23/0.29 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', nonemptyI)).
% 0.23/0.29 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', exuE2)).
% 0.23/0.29 thf(quantDeMorgan1, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', quantDeMorgan1)).
% 0.23/0.29 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', nonemptyImpWitness)).
% 0.23/0.29 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptyE1)).
% 0.23/0.29 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', dsetconstrI)).
% 0.23/0.29 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', dsetconstrEL)).
% 0.23/0.29 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', prop2setE)).
% 0.23/0.29 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', dsetconstrER)).
% 0.23/0.29 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', nonemptyI1)).
% 0.23/0.29 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', nonemptyE1)).
% 0.23/0.29 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setbeta)).
% 0.23/0.29 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setoftrueEq)).
% 0.23/0.29 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', omega0Ax)).
% 0.23/0.29 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', uniqinunit)).
% 0.23/0.29 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', notinsingleton)).
% 0.23/0.29 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', eqinunit)).
% 0.23/0.29 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', singletonsswitch)).
% 0.23/0.29 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X15:$i]:(((in @ X15 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X15)=(X2))|((X15)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', upairsetE)).
% 0.23/0.29 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', upairsetIL)).
% 0.23/0.29 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', upairsetIR)).
% 0.23/0.29 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', vacuousDall)).
% 0.23/0.29 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', wellorderingAx)).
% 0.23/0.29 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', foundationAx)).
% 0.23/0.29 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', omegaIndAx)).
% 0.23/0.29 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', omegaSAx)).
% 0.23/0.29 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptyinPowerset)).
% 0.23/0.29 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', powersetI)).
% 0.23/0.29 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', notinemptyset)).
% 0.23/0.29 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptysetimpfalse)).
% 0.23/0.29 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptysetE)).
% 0.23/0.29 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setext)).
% 0.23/0.29 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setadjoinIL)).
% 0.23/0.29 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', noeltsimpempty)).
% 0.23/0.29 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptyI)).
% 0.23/0.29 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptyinunitempty)).
% 0.23/0.29 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptyInPowerset)).
% 0.23/0.29 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setadjoinOr)).
% 0.23/0.29 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X13:$o]:(((((X3)=(X2))=>(X13))=>(((in @ X3 @ X4)=>(X13))=>(X13))))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setadjoinE)).
% 0.23/0.29 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setunionI)).
% 0.23/0.29 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setunionE)).
% 0.23/0.29 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', subPowSU)).
% 0.23/0.29 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setadjoinIR)).
% 0.23/0.29 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', powersetE)).
% 0.23/0.29 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setunionAx)).
% 0.23/0.29 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', powersetAx)).
% 0.23/0.29 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setadjoinAx)).
% 0.23/0.29 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', emptysetAx)).
% 0.23/0.29 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.3J3cja6vZK/E---3.1_794394.p', setextAx)).
% 0.23/0.29 thf(c_0_55, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.23/0.29 thf(c_0_56, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.23/0.29 thf(c_0_57, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.23/0.29 thf(c_0_58, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.23/0.29 thf(c_0_59, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.23/0.29 thf(c_0_60, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.23/0.29 thf(c_0_61, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.23/0.29 thf(c_0_62, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.23/0.29 thf(c_0_63, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[quantDeMorgan1])).
% 0.23/0.29 thf(c_0_64, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_55])).
% 0.23/0.29 thf(c_0_65, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.23/0.29 thf(c_0_66, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.23/0.29 thf(c_0_67, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X159:$i]:(((((X6 @ X2 @ X159)))&(![X160:$i]:(((((X6 @ X2 @ X160)))=>(((X159)=(X160)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_56, c_0_57])).
% 0.23/0.29 thf(c_0_68, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.23/0.29 thf(c_0_69, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X163:$i]:(((((X1 @ X163)))&(![X164:$i]:(((((X1 @ X164)))=>(((X163)=(X164))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_58, c_0_57])).
% 0.23/0.29 thf(c_0_70, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_59])).
% 0.23/0.29 thf(c_0_71, plain, ((exuE1)=(![X1:$i > $o]:((((?[X161:$i]:(((((X1 @ X161)))&(![X162:$i]:(((((X1 @ X162)))=>(((X161)=(X162))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_60, c_0_57])).
% 0.23/0.29 thf(c_0_72, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.23/0.29 thf(c_0_73, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_55])).
% 0.23/0.29 thf(c_0_74, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_61, c_0_55])).
% 0.23/0.29 thf(c_0_75, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_55])).
% 0.23/0.29 thf(c_0_76, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.23/0.29 thf(c_0_77, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.23/0.29 thf(c_0_78, plain, ((exuE2)=(![X1:$i > $o]:((((?[X165:$i]:(((((X1 @ X165)))&(![X166:$i]:(((((X1 @ X166)))=>(((X165)=(X166))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_62, c_0_57])).
% 0.23/0.29 thf(c_0_79, plain, ((epred1_0)<=>![X196:$i]:(?[X197:$i]:((((![X198:$i]:(((in @ X198 @ X197)=>![X199:$i]:(((in @ X199 @ X198)=>(in @ X199 @ X196)))))&![X200:$i, X201:$i]:((((in @ X200 @ X196)&(in @ X201 @ X196))=>(![X202:$i]:(((in @ X202 @ X197)=>((in @ X200 @ X202)<=>(in @ X201 @ X202))))=>((X200)=(X201))))))&![X203:$i, X204:$i]:((((in @ X203 @ X197)&(in @ X204 @ X197))=>(![X205:$i]:(((in @ X205 @ X203)=>(in @ X205 @ X204)))|![X206:$i]:(((in @ X206 @ X204)=>(in @ X206 @ X203)))))))&![X207:$i]:(((![X208:$i]:(((in @ X208 @ X207)=>(in @ X208 @ X196)))&?[X209:$i]:((in @ X209 @ X207)))=>?[X210:$i, X211:$i]:(((((in @ X210 @ X197)&(in @ X211 @ X207))&~(?[X212:$i]:(((in @ X212 @ X210)&(in @ X212 @ X207)))))&![X213:$i]:(((in @ X213 @ X197)=>(![X214:$i]:(((in @ X214 @ X213)=>(in @ X214 @ X210)))|(in @ X211 @ X213)))))))))))), introduced(definition)).
% 0.23/0.29 thf(c_0_80, negated_conjecture, ~((![X167:$i, X168:$i]:((![X169:$i]:(((in @ X169 @ X167)<=>(in @ X169 @ X168)))=>((X167)=(X168))))=>(![X170:$i]:(~(in @ X170 @ emptyset))=>(![X171:$i, X172:$i, X173:$i]:(((in @ X173 @ (setadjoin @ X171 @ X172))<=>(((X173)=(X171))|(in @ X173 @ X172))))=>(![X174:$i, X175:$i]:(((in @ X175 @ (powerset @ X174))<=>![X176:$i]:(((in @ X176 @ X175)=>(in @ X176 @ X174)))))=>(![X177:$i, X178:$i]:(((in @ X178 @ (setunion @ X177))<=>?[X179:$i]:(((in @ X178 @ X179)&(in @ X179 @ X177)))))=>((in @ emptyset @ omega)=>(![X180:$i]:(((in @ X180 @ omega)=>(in @ (setadjoin @ X180 @ X180) @ omega)))=>(![X181:$i]:((((in @ emptyset @ X181)&![X182:$i]:((((in @ X182 @ omega)&(in @ X182 @ X181))=>(in @ (setadjoin @ X182 @ X182) @ X181))))=>![X183:$i]:(((in @ X183 @ omega)=>(in @ X183 @ X181)))))=>(![X184:$i > $i > $o, X185:$i]:((![X186:$i]:(((in @ X186 @ X185)=>?[X187:$i]:(((X184 @ X186 @ X187)&![X188:$i]:(((X184 @ X186 @ X188)=>((X187)=(X188))))))))=>?[X189:$i]:(![X190:$i]:(((in @ X190 @ X189)<=>?[X191:$i]:(((in @ X191 @ X185)&(X184 @ X191 @ X190))))))))=>(![X192:$i]:((?[X193:$i]:((in @ X193 @ X192))=>?[X194:$i]:(((in @ X194 @ X192)&~(?[X195:$i]:(((in @ X195 @ X194)&(in @ X195 @ X192))))))))=>((epred1_0)=>((descrp)=>(![X215:$i, X216:$i > $o, X217:$i]:(((in @ X217 @ X215)=>((X216 @ X217)=>(in @ X217 @ (dsetconstr @ X215 @ (^[Z0:$i]:((X216 @ Z0))))))))=>(![X218:$i, X219:$i > $o, X220:$i]:(((in @ X220 @ (dsetconstr @ X218 @ (^[Z0:$i]:((X219 @ Z0)))))=>(in @ X220 @ X218)))=>(![X221:$i, X222:$i > $o, X223:$i]:(((in @ X223 @ (dsetconstr @ X221 @ (^[Z0:$i]:((X222 @ Z0)))))=>(X222 @ X223)))=>(![X224:$i > $o]:((?[X225:$i]:(((X224 @ X225)&![X226:$i]:(((X224 @ X226)=>((X225)=(X226))))))=>?[X227:$i]:(((X224 @ X227)&![X228:$i]:(((X224 @ X228)=>((X227)=(X228))))))))=>(![X229:$o, X230:$i]:(((in @ X230 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X229)))))=>(X229)))=>(![X231:$i]:(((in @ X231 @ emptyset)=>![X232:$o]:((X232))))=>(![X233:$i]:(~(in @ X233 @ emptyset))=>(![X234:$i]:(~(in @ X234 @ emptyset))=>(![X235:$i > $o]:((?[X236:$i]:(((X235 @ X236)&![X237:$i]:(((X235 @ X237)=>((X236)=(X237))))))=>?[X238:$i]:((X235 @ X238))))=>(![X239:$i, X240:$i]:((![X241:$i]:(((in @ X241 @ X239)=>(in @ X241 @ X240)))=>(![X242:$i]:(((in @ X242 @ X240)=>(in @ X242 @ X239)))=>((X239)=(X240)))))=>(![X243:$i]:((![X244:$i]:(~(in @ X244 @ X243))=>((X243)=(emptyset))))=>(![X245:$i]:((![X246:$i]:(~(in @ X246 @ X245))=>((X245)=(emptyset))))=>(![X247:$i, X248:$i > $o, X249:$i]:(((in @ X249 @ X247)=>((in @ X249 @ (dsetconstr @ X247 @ (^[Z0:$i]:((X248 @ Z0)))))<=>(X248 @ X249))))=>(![X250:$i]:((((X250)!=(emptyset))=>?[X251:$i]:((in @ X251 @ X250))))=>(![X252:$i, X253:$i > $o, X254:$i]:(((in @ X254 @ X252)=>((X253 @ X254)=>((dsetconstr @ X252 @ (^[Z0:$i]:((X253 @ Z0))))!=(emptyset)))))=>(![X255:$i]:((?[X256:$i]:((in @ X256 @ X255))=>((X255)!=(emptyset))))=>(![X257:$i, X258:$i]:((in @ X257 @ (setadjoin @ X257 @ X258)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X259:$i, X260:$i, X261:$i]:(((in @ X261 @ X260)=>(in @ X261 @ (setadjoin @ X259 @ X260))))=>(![X262:$i, X263:$i, X264:$i]:(((in @ X264 @ (setadjoin @ X262 @ X263))=>![X265:$o]:(((((X264)=(X262))=>(X265))=>(((in @ X264 @ X263)=>(X265))=>(X265))))))=>(![X266:$i, X267:$i, X268:$i]:(((in @ X268 @ (setadjoin @ X266 @ X267))=>(((X268)=(X266))|(in @ X268 @ X267))))=>(![X269:$i]:(((dsetconstr @ X269 @ (^[Z0:$i]:(($true))))=(X269)))=>(![X270:$i, X271:$i]:((![X272:$i]:(((in @ X272 @ X271)=>(in @ X272 @ X270)))=>(in @ X271 @ (powerset @ X270))))=>(![X273:$i]:((in @ emptyset @ (powerset @ X273)))=>(![X274:$i]:((in @ emptyset @ (powerset @ X274)))=>(![X275:$i, X276:$i, X277:$i]:(((in @ X276 @ (powerset @ X275))=>((in @ X277 @ X276)=>(in @ X277 @ X275))))=>(![X278:$i, X279:$i, X280:$i]:(((in @ X279 @ X280)=>((in @ X280 @ X278)=>(in @ X279 @ (setunion @ X278)))))=>(![X281:$i, X282:$i]:(((in @ X282 @ (setunion @ X281))=>![X283:$o]:((![X284:$i]:(((in @ X282 @ X284)=>((in @ X284 @ X281)=>(X283))))=>(X283)))))=>(![X285:$i, X286:$i]:(((in @ X286 @ X285)=>(in @ X286 @ (powerset @ (setunion @ X285)))))=>(![X287:$i > $o]:((?[X288:$i]:(((X287 @ X288)&![X289:$i]:(((X287 @ X289)=>((X288)=(X289))))))=>?[X290:$i]:(![X291:$i]:(((X287 @ X291)<=>((X291)=(X290)))))))=>(![X292:$i]:((((X292)!=(emptyset))=>?[X293:$i]:((in @ X293 @ X292))))=>(![X294:$i, X295:$i]:(((in @ X294 @ (setadjoin @ X295 @ emptyset))=>((X294)=(X295))))=>(![X296:$i, X297:$i]:((((X296)!=(X297))=>~(in @ X297 @ (setadjoin @ X296 @ emptyset))))=>(![X298:$i, X299:$i]:((((X298)=(X299))=>(in @ X298 @ (setadjoin @ X299 @ emptyset))))=>(![X300:$i, X301:$i]:(((in @ X300 @ (setadjoin @ X301 @ emptyset))=>(in @ X301 @ (setadjoin @ X300 @ emptyset))))=>(![X302:$i, X303:$i, X304:$i]:(((in @ X304 @ (setadjoin @ X302 @ (setadjoin @ X303 @ emptyset)))=>(((X304)=(X302))|((X304)=(X303)))))=>(![X305:$i, X306:$i]:((in @ X305 @ (setadjoin @ X305 @ (setadjoin @ X306 @ emptyset))))=>(![X307:$i, X308:$i]:((in @ X308 @ (setadjoin @ X307 @ (setadjoin @ X308 @ emptyset))))=>(![X309:$i, X310:$i > $o]:((?[X311:$i]:(((in @ X311 @ X309)&(X310 @ X311)))=>((dsetconstr @ X309 @ (^[Z0:$i]:((X310 @ Z0))))!=(emptyset))))=>(![X312:$i > $o, X313:$i]:(((in @ X313 @ emptyset)=>(X312 @ X313)))=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_63, omega0Ax]), c_0_64]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_65]), vacuousDall]), c_0_66]), wellorderingAx]), foundationAx]), c_0_67]), omegaIndAx]), omegaSAx]), emptyinPowerset]), powersetI]), c_0_68]), c_0_69]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_70]), c_0_71]), c_0_72]), setext]), setadjoinIL]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), noeltsimpempty]), emptyI]), emptyinunitempty]), emptyInPowerset]), c_0_77]), setadjoinOr]), setadjoinE]), setunionI]), setunionE]), subPowSU]), c_0_78]), setadjoinIR]), powersetE]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])]), c_0_79])).
% 0.23/0.29 thf(c_0_81, negated_conjecture, ![X314:$i, X315:$i, X317:$i, X318:$i, X319:$i, X320:$i, X321:$i, X322:$i, X323:$i, X324:$i, X325:$i, X327:$i, X328:$i, X330:$i, X331:$i, X332:$i, X333:$i, X334:$i, X336:$i, X337:$i > $i > $o, X338:$i, X340:$i, X343:$i, X345:$i, X346:$i, X347:$i, X348:$i, X350:$i, X351:$i, X352:$i > $o, X353:$i, X354:$i, X355:$i > $o, X356:$i, X357:$i, X358:$i > $o, X359:$i, X360:$i > $o, X361:$i, X364:$i, X365:$o, X366:$i, X367:$i, X368:$o, X369:$i, X370:$i, X371:$i > $o, X372:$i, X375:$i, X376:$i, X379:$i, X381:$i, X383:$i, X384:$i > $o, X385:$i, X386:$i, X388:$i, X389:$i > $o, X390:$i, X391:$i, X392:$i, X393:$i, X394:$i, X395:$i, X396:$i, X397:$i, X398:$i, X399:$i, X400:$i, X401:$o, X402:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X409:$i, X410:$i, X411:$i, X412:$i, X413:$i, X414:$i, X415:$i, X416:$i, X417:$i, X418:$i, X419:$o, X421:$i, X422:$i, X423:$i > $o, X424:$i, X427:$i, X428:$i, X429:$i, X431:$i, X432:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i > $o, X448:$i, X449:$i > $o, X450:$i, X454:$i]:((((~(in @ (esk1_2 @ X314 @ X315) @ X314)|~(in @ (esk1_2 @ X314 @ X315) @ X315)|((X314)=(X315)))&((in @ (esk1_2 @ X314 @ X315) @ X314)|(in @ (esk1_2 @ X314 @ X315) @ X315)|((X314)=(X315))))&(~(in @ X317 @ emptyset)&(((~(in @ X320 @ (setadjoin @ X318 @ X319))|(((X320)=(X318))|(in @ X320 @ X319)))&((((X320)!=(X318))|(in @ X320 @ (setadjoin @ X318 @ X319)))&(~(in @ X320 @ X319)|(in @ X320 @ (setadjoin @ X318 @ X319)))))&(((~(in @ X322 @ (powerset @ X321))|(~(in @ X323 @ X322)|(in @ X323 @ X321)))&(((in @ (esk2_2 @ X324 @ X325) @ X325)|(in @ X325 @ (powerset @ X324)))&(~(in @ (esk2_2 @ X324 @ X325) @ X324)|(in @ X325 @ (powerset @ X324)))))&(((((in @ X328 @ (esk3_2 @ X327 @ X328))|~(in @ X328 @ (setunion @ X327)))&((in @ (esk3_2 @ X327 @ X328) @ X327)|~(in @ X328 @ (setunion @ X327))))&(~(in @ X331 @ X332)|~(in @ X332 @ X330)|(in @ X331 @ (setunion @ X330))))&((in @ emptyset @ omega)&((~(in @ X333 @ omega)|(in @ (setadjoin @ X333 @ X333) @ omega))&(((((in @ (esk4_1 @ X334) @ omega)|~(in @ emptyset @ X334)|(~(in @ X336 @ omega)|(in @ X336 @ X334)))&((in @ (esk4_1 @ X334) @ X334)|~(in @ emptyset @ X334)|(~(in @ X336 @ omega)|(in @ X336 @ X334))))&(~(in @ (setadjoin @ (esk4_1 @ X334) @ (esk4_1 @ X334)) @ X334)|~(in @ emptyset @ X334)|(~(in @ X336 @ omega)|(in @ X336 @ X334))))&((((((in @ (esk8_3 @ X337 @ X338 @ X343) @ X338)|~(in @ X343 @ (esk7_2 @ X337 @ X338))|(in @ (esk5_2 @ X337 @ X338) @ X338))&((X337 @ (esk8_3 @ X337 @ X338 @ X343) @ X343)|~(in @ X343 @ (esk7_2 @ X337 @ X338))|(in @ (esk5_2 @ X337 @ X338) @ X338)))&(~(in @ X346 @ X338)|~(X337 @ X346 @ X345)|(in @ X345 @ (esk7_2 @ X337 @ X338))|(in @ (esk5_2 @ X337 @ X338) @ X338)))&(((((in @ (esk8_3 @ X337 @ X338 @ X343) @ X338)|~(in @ X343 @ (esk7_2 @ X337 @ X338))|((X337 @ (esk5_2 @ X337 @ X338) @ (esk6_3 @ X337 @ X338 @ X340))|~(X337 @ (esk5_2 @ X337 @ X338) @ X340)))&((X337 @ (esk8_3 @ X337 @ X338 @ X343) @ X343)|~(in @ X343 @ (esk7_2 @ X337 @ X338))|((X337 @ (esk5_2 @ X337 @ X338) @ (esk6_3 @ X337 @ X338 @ X340))|~(X337 @ (esk5_2 @ X337 @ X338) @ X340))))&(~(in @ X346 @ X338)|~(X337 @ X346 @ X345)|(in @ X345 @ (esk7_2 @ X337 @ X338))|((X337 @ (esk5_2 @ X337 @ X338) @ (esk6_3 @ X337 @ X338 @ X340))|~(X337 @ (esk5_2 @ X337 @ X338) @ X340))))&((((in @ (esk8_3 @ X337 @ X338 @ X343) @ X338)|~(in @ X343 @ (esk7_2 @ X337 @ X338))|(((X340)!=(esk6_3 @ X337 @ X338 @ X340))|~(X337 @ (esk5_2 @ X337 @ X338) @ X340)))&((X337 @ (esk8_3 @ X337 @ X338 @ X343) @ X343)|~(in @ X343 @ (esk7_2 @ X337 @ X338))|(((X340)!=(esk6_3 @ X337 @ X338 @ X340))|~(X337 @ (esk5_2 @ X337 @ X338) @ X340))))&(~(in @ X346 @ X338)|~(X337 @ X346 @ X345)|(in @ X345 @ (esk7_2 @ X337 @ X338))|(((X340)!=(esk6_3 @ X337 @ X338 @ X340))|~(X337 @ (esk5_2 @ X337 @ X338) @ X340))))))&((((in @ (esk9_1 @ X347) @ X347)|~(in @ X348 @ X347))&(~(in @ X350 @ (esk9_1 @ X347))|~(in @ X350 @ X347)|~(in @ X348 @ X347)))&((epred1_0)&((descrp)&((~(in @ X353 @ X351)|(~(X352 @ X353)|(in @ X353 @ (dsetconstr @ X351 @ (^[Z0:$i]:((X352 @ Z0)))))))&((~(in @ X356 @ (dsetconstr @ X354 @ (^[Z0:$i]:((X355 @ Z0)))))|(in @ X356 @ X354))&((~(in @ X359 @ (dsetconstr @ X357 @ (^[Z0:$i]:((X358 @ Z0)))))|(X358 @ X359))&(((((X360 @ (esk11_1 @ X360))|((X360 @ (esk10_2 @ X360 @ X361))|~(X360 @ X361)))&(~(X360 @ X364)|((esk11_1 @ X360)=(X364))|((X360 @ (esk10_2 @ X360 @ X361))|~(X360 @ X361))))&(((X360 @ (esk11_1 @ X360))|(((X361)!=(esk10_2 @ X360 @ X361))|~(X360 @ X361)))&(~(X360 @ X364)|((esk11_1 @ X360)=(X364))|(((X361)!=(esk10_2 @ X360 @ X361))|~(X360 @ X361)))))&((~(in @ X366 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X365)))))|(X365))&((~(in @ X367 @ emptyset)|(X368))&(~(in @ X369 @ emptyset)&(~(in @ X370 @ emptyset)&((((X371 @ (esk12_2 @ X371 @ X372))|~(X371 @ X372)|(X371 @ (esk13_1 @ X371)))&(((X372)!=(esk12_2 @ X371 @ X372))|~(X371 @ X372)|(X371 @ (esk13_1 @ X371))))&(((((in @ (esk15_2 @ X375 @ X376) @ X376)|((X375)=(X376))|(in @ (esk14_2 @ X375 @ X376) @ X375))&(~(in @ (esk15_2 @ X375 @ X376) @ X375)|((X375)=(X376))|(in @ (esk14_2 @ X375 @ X376) @ X375)))&(((in @ (esk15_2 @ X375 @ X376) @ X376)|((X375)=(X376))|~(in @ (esk14_2 @ X375 @ X376) @ X376))&(~(in @ (esk15_2 @ X375 @ X376) @ X375)|((X375)=(X376))|~(in @ (esk14_2 @ X375 @ X376) @ X376))))&(((in @ (esk16_1 @ X379) @ X379)|((X379)=(emptyset)))&(((in @ (esk17_1 @ X381) @ X381)|((X381)=(emptyset)))&(((~(in @ X385 @ (dsetconstr @ X383 @ (^[Z0:$i]:((X384 @ Z0)))))|(X384 @ X385)|~(in @ X385 @ X383))&(~(X384 @ X385)|(in @ X385 @ (dsetconstr @ X383 @ (^[Z0:$i]:((X384 @ Z0)))))|~(in @ X385 @ X383)))&((((X386)=(emptyset))|(in @ (esk18_1 @ X386) @ X386))&((~(in @ X390 @ X388)|(~(X389 @ X390)|((dsetconstr @ X388 @ (^[Z0:$i]:((X389 @ Z0))))!=(emptyset))))&((~(in @ X392 @ X391)|((X391)!=(emptyset)))&((in @ X393 @ (setadjoin @ X393 @ X394))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X397 @ X396)|(in @ X397 @ (setadjoin @ X395 @ X396)))&(((((in @ X400 @ X399)|(X401)|((X400)=(X398))|~(in @ X400 @ (setadjoin @ X398 @ X399)))&(~(X401)|(X401)|((X400)=(X398))|~(in @ X400 @ (setadjoin @ X398 @ X399))))&(((in @ X400 @ X399)|(X401)|~(X401)|~(in @ X400 @ (setadjoin @ X398 @ X399)))&(~(X401)|(X401)|~(X401)|~(in @ X400 @ (setadjoin @ X398 @ X399)))))&((~(in @ X404 @ (setadjoin @ X402 @ X403))|(((X404)=(X402))|(in @ X404 @ X403)))&(((dsetconstr @ X405 @ (^[Z0:$i]:(($true))))=(X405))&((((in @ (esk19_2 @ X406 @ X407) @ X407)|(in @ X407 @ (powerset @ X406)))&(~(in @ (esk19_2 @ X406 @ X407) @ X406)|(in @ X407 @ (powerset @ X406))))&((in @ emptyset @ (powerset @ X409))&((in @ emptyset @ (powerset @ X410))&((~(in @ X412 @ (powerset @ X411))|(~(in @ X413 @ X412)|(in @ X413 @ X411)))&((~(in @ X415 @ X416)|(~(in @ X416 @ X414)|(in @ X415 @ (setunion @ X414))))&((((in @ X418 @ (esk20_3 @ X417 @ X418 @ X419))|(X419)|~(in @ X418 @ (setunion @ X417)))&(((in @ (esk20_3 @ X417 @ X418 @ X419) @ X417)|(X419)|~(in @ X418 @ (setunion @ X417)))&(~(X419)|(X419)|~(in @ X418 @ (setunion @ X417)))))&((~(in @ X422 @ X421)|(in @ X422 @ (powerset @ (setunion @ X421))))&((((~(X423 @ X427)|((X427)=(esk22_1 @ X423))|((X423 @ (esk21_2 @ X423 @ X424))|~(X423 @ X424)))&(((X428)!=(esk22_1 @ X423))|(X423 @ X428)|((X423 @ (esk21_2 @ X423 @ X424))|~(X423 @ X424))))&((~(X423 @ X427)|((X427)=(esk22_1 @ X423))|(((X424)!=(esk21_2 @ X423 @ X424))|~(X423 @ X424)))&(((X428)!=(esk22_1 @ X423))|(X423 @ X428)|(((X424)!=(esk21_2 @ X423 @ X424))|~(X423 @ X424)))))&((((X429)=(emptyset))|(in @ (esk23_1 @ X429) @ X429))&((~(in @ X431 @ (setadjoin @ X432 @ emptyset))|((X431)=(X432)))&((((X433)=(X434))|~(in @ X434 @ (setadjoin @ X433 @ emptyset)))&((((X435)!=(X436))|(in @ X435 @ (setadjoin @ X436 @ emptyset)))&((~(in @ X437 @ (setadjoin @ X438 @ emptyset))|(in @ X438 @ (setadjoin @ X437 @ emptyset)))&((~(in @ X441 @ (setadjoin @ X439 @ (setadjoin @ X440 @ emptyset)))|(((X441)=(X439))|((X441)=(X440))))&((in @ X442 @ (setadjoin @ X442 @ (setadjoin @ X443 @ emptyset)))&((in @ X445 @ (setadjoin @ X444 @ (setadjoin @ X445 @ emptyset)))&((~(in @ X448 @ X446)|~(X447 @ X448)|((dsetconstr @ X446 @ (^[Z0:$i]:((X447 @ Z0))))!=(emptyset)))&((~(in @ X450 @ emptyset)|(X449 @ X450))&(((in @ esk25_0 @ esk24_0)&~(epred2_0 @ esk25_0))&(~(in @ X454 @ esk24_0)|(epred2_0 @ X454)))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])])])])).
% 0.23/0.29 thf(c_0_82, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|~((in @ X2 @ esk24_0)))), inference(split_conjunct,[status(thm)],[c_0_81])).
% 0.23/0.29 thf(c_0_83, negated_conjecture, (in @ esk25_0 @ esk24_0), inference(split_conjunct,[status(thm)],[c_0_81])).
% 0.23/0.29 thf(c_0_84, negated_conjecture, ~((epred2_0 @ esk25_0)), inference(split_conjunct,[status(thm)],[c_0_81])).
% 0.23/0.29 thf(c_0_85, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84]), ['proof']).
% 0.23/0.29 % SZS output end CNFRefutation
% 0.23/0.29 % Parsed axioms : 119
% 0.23/0.29 % Removed by relevancy pruning/SinE : 64
% 0.23/0.29 % Initial clauses : 103
% 0.23/0.29 % Removed in clause preprocessing : 4
% 0.23/0.29 % Initial clauses in saturation : 99
% 0.23/0.29 % Processed clauses : 12
% 0.23/0.29 % ...of these trivial : 1
% 0.23/0.29 % ...subsumed : 3
% 0.23/0.29 % ...remaining for further processing : 8
% 0.23/0.29 % Other redundant clauses eliminated : 0
% 0.23/0.29 % Clauses deleted for lack of memory : 0
% 0.23/0.29 % Backward-subsumed : 0
% 0.23/0.29 % Backward-rewritten : 0
% 0.23/0.29 % Generated clauses : 1
% 0.23/0.29 % ...of the previous two non-redundant : 0
% 0.23/0.29 % ...aggressively subsumed : 0
% 0.23/0.29 % Contextual simplify-reflections : 0
% 0.23/0.29 % Paramodulations : 1
% 0.23/0.29 % Factorizations : 0
% 0.23/0.29 % NegExts : 0
% 0.23/0.29 % Equation resolutions : 0
% 0.23/0.29 % Disequality decompositions : 0
% 0.23/0.29 % Total rewrite steps : 1
% 0.23/0.29 % ...of those cached : 0
% 0.23/0.29 % Propositional unsat checks : 0
% 0.23/0.29 % Propositional check models : 0
% 0.23/0.29 % Propositional check unsatisfiable : 0
% 0.23/0.29 % Propositional clauses : 0
% 0.23/0.29 % Propositional clauses after purity: 0
% 0.23/0.29 % Propositional unsat core size : 0
% 0.23/0.29 % Propositional preprocessing time : 0.000
% 0.23/0.29 % Propositional encoding time : 0.000
% 0.23/0.29 % Propositional solver time : 0.000
% 0.23/0.29 % Success case prop preproc time : 0.000
% 0.23/0.29 % Success case prop encoding time : 0.000
% 0.23/0.29 % Success case prop solver time : 0.000
% 0.23/0.29 % Current number of processed clauses : 8
% 0.23/0.29 % Positive orientable unit clauses : 5
% 0.23/0.29 % Positive unorientable unit clauses: 0
% 0.23/0.29 % Negative unit clauses : 2
% 0.23/0.29 % Non-unit-clauses : 1
% 0.23/0.29 % Current number of unprocessed clauses: 87
% 0.23/0.29 % ...number of literals in the above : 270
% 0.23/0.29 % Current number of archived formulas : 0
% 0.23/0.29 % Current number of archived clauses : 0
% 0.23/0.29 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.29 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.29 % Non-unit clause-clause subsumptions : 0
% 0.23/0.29 % Unit Clause-clause subsumption calls : 0
% 0.23/0.29 % Rewrite failures with RHS unbound : 0
% 0.23/0.29 % BW rewrite match attempts : 0
% 0.23/0.29 % BW rewrite match successes : 0
% 0.23/0.29 % Condensation attempts : 0
% 0.23/0.29 % Condensation successes : 0
% 0.23/0.29 % Termbank termtop insertions : 11337
% 0.23/0.29 % Search garbage collected termcells : 4348
% 0.23/0.29
% 0.23/0.29 % -------------------------------------------------
% 0.23/0.29 % User time : 0.011 s
% 0.23/0.29 % System time : 0.003 s
% 0.23/0.29 % Total time : 0.014 s
% 0.23/0.29 % Maximum resident set size: 5040 pages
% 0.23/0.29
% 0.23/0.29 % -------------------------------------------------
% 0.23/0.29 % User time : 0.015 s
% 0.23/0.29 % System time : 0.007 s
% 0.23/0.29 % Total time : 0.022 s
% 0.23/0.29 % Maximum resident set size: 5120 pages
% 0.23/0.29 % E exiting
%------------------------------------------------------------------------------