%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU512^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:24:19 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU512^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n010.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:47:48 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.25 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p
% 0.22/0.28 % Version: 3.5.1-ho
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting sh5l with 300s (1) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.22/0.28 % new_ho_10 with pid 2879480 completed with status 0
% 0.22/0.28 % Result found by new_ho_10
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.28 % No SInE strategy applied
% 0.22/0.28 % Search class: HGHSS-FFMF31-SHFSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.28 % Starting SubtermCWHack with 151s (1) cores
% 0.22/0.28 % Starting new_ho_10 with 901s (1) cores
% 0.22/0.28 % Starting sh5l with 151s (1) cores
% 0.22/0.28 % Starting new_bool_1 with 151s (1) cores
% 0.22/0.28 % Starting new_bool_2 with 146s (1) cores
% 0.22/0.28 % new_ho_10 with pid 2879487 completed with status 0
% 0.22/0.28 % Result found by new_ho_10
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.28 % No SInE strategy applied
% 0.22/0.28 % Search class: HGHSS-FFMF31-SHFSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.28 % Starting SubtermCWHack with 151s (1) cores
% 0.22/0.28 % Starting new_ho_10 with 901s (1) cores
% 0.22/0.28 % Preprocessing time : 0.002 s
% 0.22/0.28 % Presaturation interreduction done
% 0.22/0.28
% 0.22/0.28 % Proof found!
% 0.22/0.28 % SZS status Theorem
% 0.22/0.28 % SZS output start CNFRefutation
% 0.22/0.28 thf(decl_23, type, in: $i > $i > $o).
% 0.22/0.28 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.22/0.28 thf(decl_25, type, setextAx: $o).
% 0.22/0.28 thf(decl_26, type, emptyset: $i).
% 0.22/0.28 thf(decl_27, type, emptysetAx: $o).
% 0.22/0.28 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.22/0.28 thf(decl_29, type, setadjoinAx: $o).
% 0.22/0.28 thf(decl_30, type, powerset: $i > $i).
% 0.22/0.28 thf(decl_31, type, powersetAx: $o).
% 0.22/0.28 thf(decl_32, type, setunion: $i > $i).
% 0.22/0.28 thf(decl_33, type, setunionAx: $o).
% 0.22/0.28 thf(decl_34, type, omega: $i).
% 0.22/0.28 thf(decl_35, type, omega0Ax: $o).
% 0.22/0.28 thf(decl_36, type, omegaSAx: $o).
% 0.22/0.28 thf(decl_37, type, omegaIndAx: $o).
% 0.22/0.28 thf(decl_38, type, replAx: $o).
% 0.22/0.28 thf(decl_39, type, foundationAx: $o).
% 0.22/0.28 thf(decl_40, type, wellorderingAx: $o).
% 0.22/0.28 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.22/0.28 thf(decl_42, type, descrp: $o).
% 0.22/0.28 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_44, type, dsetconstrI: $o).
% 0.22/0.28 thf(decl_45, type, dsetconstrEL: $o).
% 0.22/0.28 thf(decl_46, type, dsetconstrER: $o).
% 0.22/0.28 thf(decl_47, type, exuE1: $o).
% 0.22/0.28 thf(decl_48, type, prop2set: $o > $i).
% 0.22/0.28 thf(decl_49, type, prop2setE: $o).
% 0.22/0.28 thf(decl_50, type, emptysetE: $o).
% 0.22/0.28 thf(decl_51, type, emptysetimpfalse: $o).
% 0.22/0.28 thf(decl_52, type, notinemptyset: $o).
% 0.22/0.28 thf(decl_53, type, exuE3e: $o).
% 0.22/0.28 thf(decl_54, type, setext: $o).
% 0.22/0.28 thf(decl_55, type, emptyI: $o).
% 0.22/0.28 thf(decl_56, type, noeltsimpempty: $o).
% 0.22/0.28 thf(decl_57, type, setbeta: $o).
% 0.22/0.28 thf(decl_58, type, nonempty: $i > $o).
% 0.22/0.28 thf(decl_59, type, nonemptyE1: $o).
% 0.22/0.28 thf(decl_60, type, nonemptyI: $o).
% 0.22/0.28 thf(decl_61, type, nonemptyI1: $o).
% 0.22/0.28 thf(decl_62, type, epred1_0: $o).
% 0.22/0.28 thf(decl_63, type, esk1_2: $i > $i > $i).
% 0.22/0.28 thf(decl_64, type, esk2_2: $i > $i > $i).
% 0.22/0.28 thf(decl_65, type, esk3_2: $i > $i > $i).
% 0.22/0.28 thf(decl_66, type, esk4_1: $i > $i).
% 0.22/0.28 thf(decl_67, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_68, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_69, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_70, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_71, type, esk9_1: $i > $i).
% 0.22/0.28 thf(decl_72, type, esk10_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_73, type, esk11_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_74, type, esk12_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_75, type, esk13_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_76, type, esk14_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_77, type, esk15_2: $i > $i > $i).
% 0.22/0.28 thf(decl_78, type, esk16_2: $i > $i > $i).
% 0.22/0.28 thf(decl_79, type, esk17_1: $i > $i).
% 0.22/0.28 thf(decl_80, type, esk18_1: $i > $i).
% 0.22/0.28 thf(decl_81, type, esk19_1: $i > $i).
% 0.22/0.28 thf(decl_82, type, esk20_0: $i).
% 0.22/0.28 thf(decl_83, type, esk21_0: $i).
% 0.22/0.28 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', replAx)).
% 0.22/0.28 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', exu)).
% 0.22/0.28 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', descrp)).
% 0.22/0.28 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', exuE1)).
% 0.22/0.28 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', exuE3e)).
% 0.22/0.28 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', nonempty)).
% 0.22/0.28 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', nonemptyI)).
% 0.22/0.28 thf(setadjoinIL, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', setadjoinIL)).
% 0.22/0.28 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', dsetconstrI)).
% 0.22/0.28 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', dsetconstrEL)).
% 0.22/0.28 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', dsetconstrER)).
% 0.22/0.28 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', setbeta)).
% 0.22/0.28 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', nonemptyE1)).
% 0.22/0.28 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', nonemptyI1)).
% 0.22/0.28 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', setextAx)).
% 0.22/0.28 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', emptysetAx)).
% 0.22/0.28 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', setadjoinAx)).
% 0.22/0.28 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', powersetAx)).
% 0.22/0.28 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', setunionAx)).
% 0.22/0.28 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', omega0Ax)).
% 0.22/0.28 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', omegaSAx)).
% 0.22/0.28 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', omegaIndAx)).
% 0.22/0.28 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/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', foundationAx)).
% 0.22/0.28 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', wellorderingAx)).
% 0.22/0.28 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', prop2setE)).
% 0.22/0.28 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', emptysetE)).
% 0.22/0.28 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', emptysetimpfalse)).
% 0.22/0.28 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', notinemptyset)).
% 0.22/0.28 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/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', setext)).
% 0.22/0.28 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', emptyI)).
% 0.22/0.28 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Zjj3oHqhks/E---3.1_2879452.p', noeltsimpempty)).
% 0.22/0.28 thf(c_0_31, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.28 thf(c_0_32, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.22/0.28 thf(c_0_33, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.22/0.28 thf(c_0_34, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.22/0.28 thf(c_0_35, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.28 thf(c_0_36, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.22/0.28 thf(c_0_37, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.28 thf(c_0_38, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setadjoinIL])).
% 0.22/0.28 thf(c_0_39, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X100:$i]:(((((X6 @ X2 @ X100)))&(![X101:$i]:(((((X6 @ X2 @ X101)))=>(((X100)=(X101)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_31, c_0_32])).
% 0.22/0.28 thf(c_0_40, plain, ((descrp)=(![X1:$i > $o]:((((?[X102:$i]:(((((X1 @ X102)))&(![X103:$i]:(((((X1 @ X103)))=>(((X102)=(X103))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_33, c_0_32])).
% 0.22/0.28 thf(c_0_41, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.28 thf(c_0_42, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.28 thf(c_0_43, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.28 thf(c_0_44, plain, ((exuE1)=(![X1:$i > $o]:((((?[X104:$i]:(((((X1 @ X104)))&(![X105:$i]:(((((X1 @ X105)))=>(((X104)=(X105))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_34, c_0_32])).
% 0.22/0.28 thf(c_0_45, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X106:$i]:(((((X1 @ X106)))&(![X107:$i]:(((((X1 @ X107)))=>(((X106)=(X107))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_35, c_0_32])).
% 0.22/0.28 thf(c_0_46, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.28 thf(c_0_47, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_36])).
% 0.22/0.28 thf(c_0_48, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_37, c_0_36])).
% 0.22/0.28 thf(c_0_49, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_36])).
% 0.22/0.28 thf(c_0_50, plain, ((epred1_0)<=>![X137:$i]:(?[X138:$i]:((((![X139:$i]:(((in @ X139 @ X138)=>![X140:$i]:(((in @ X140 @ X139)=>(in @ X140 @ X137)))))&![X141:$i, X142:$i]:((((in @ X141 @ X137)&(in @ X142 @ X137))=>(![X143:$i]:(((in @ X143 @ X138)=>((in @ X141 @ X143)<=>(in @ X142 @ X143))))=>((X141)=(X142))))))&![X144:$i, X145:$i]:((((in @ X144 @ X138)&(in @ X145 @ X138))=>(![X146:$i]:(((in @ X146 @ X144)=>(in @ X146 @ X145)))|![X147:$i]:(((in @ X147 @ X145)=>(in @ X147 @ X144)))))))&![X148:$i]:(((![X149:$i]:(((in @ X149 @ X148)=>(in @ X149 @ X137)))&?[X150:$i]:((in @ X150 @ X148)))=>?[X151:$i, X152:$i]:(((((in @ X151 @ X138)&(in @ X152 @ X148))&~(?[X153:$i]:(((in @ X153 @ X151)&(in @ X153 @ X148)))))&![X154:$i]:(((in @ X154 @ X138)=>(![X155:$i]:(((in @ X155 @ X154)=>(in @ X155 @ X151)))|(in @ X152 @ X154)))))))))))), introduced(definition)).
% 0.22/0.28 thf(c_0_51, negated_conjecture, ~((![X108:$i, X109:$i]:((![X110:$i]:(((in @ X110 @ X108)<=>(in @ X110 @ X109)))=>((X108)=(X109))))=>(![X111:$i]:(~(in @ X111 @ emptyset))=>(![X112:$i, X113:$i, X114:$i]:(((in @ X114 @ (setadjoin @ X112 @ X113))<=>(((X114)=(X112))|(in @ X114 @ X113))))=>(![X115:$i, X116:$i]:(((in @ X116 @ (powerset @ X115))<=>![X117:$i]:(((in @ X117 @ X116)=>(in @ X117 @ X115)))))=>(![X118:$i, X119:$i]:(((in @ X119 @ (setunion @ X118))<=>?[X120:$i]:(((in @ X119 @ X120)&(in @ X120 @ X118)))))=>((in @ emptyset @ omega)=>(![X121:$i]:(((in @ X121 @ omega)=>(in @ (setadjoin @ X121 @ X121) @ omega)))=>(![X122:$i]:((((in @ emptyset @ X122)&![X123:$i]:((((in @ X123 @ omega)&(in @ X123 @ X122))=>(in @ (setadjoin @ X123 @ X123) @ X122))))=>![X124:$i]:(((in @ X124 @ omega)=>(in @ X124 @ X122)))))=>(![X125:$i > $i > $o, X126:$i]:((![X127:$i]:(((in @ X127 @ X126)=>?[X128:$i]:(((X125 @ X127 @ X128)&![X129:$i]:(((X125 @ X127 @ X129)=>((X128)=(X129))))))))=>?[X130:$i]:(![X131:$i]:(((in @ X131 @ X130)<=>?[X132:$i]:(((in @ X132 @ X126)&(X125 @ X132 @ X131))))))))=>(![X133:$i]:((?[X134:$i]:((in @ X134 @ X133))=>?[X135:$i]:(((in @ X135 @ X133)&~(?[X136:$i]:(((in @ X136 @ X135)&(in @ X136 @ X133))))))))=>((epred1_0)=>(![X156:$i > $o]:((?[X157:$i]:(((X156 @ X157)&![X158:$i]:(((X156 @ X158)=>((X157)=(X158))))))=>(X156 @ (descr @ (^[Z0:$i]:(X156 @ Z0))))))=>(![X159:$i, X160:$i > $o, X161:$i]:(((in @ X161 @ X159)=>((X160 @ X161)=>(in @ X161 @ (dsetconstr @ X159 @ X160)))))=>(![X162:$i, X163:$i > $o, X164:$i]:(((in @ X164 @ (dsetconstr @ X162 @ X163))=>(in @ X164 @ X162)))=>(![X165:$i, X166:$i > $o, X167:$i]:(((in @ X167 @ (dsetconstr @ X165 @ X166))=>(X166 @ X167)))=>(![X168:$i > $o]:((?[X169:$i]:(((X168 @ X169)&![X170:$i]:(((X168 @ X170)=>((X169)=(X170))))))=>?[X171:$i]:(((X168 @ X171)&![X172:$i]:(((X168 @ X172)=>((X171)=(X172))))))))=>(![X173:$o, X174:$i]:(((in @ X174 @ (prop2set @ ((X173))))=>(X173)))=>(![X175:$i]:(((in @ X175 @ emptyset)=>![X176:$o]:((X176))))=>(![X177:$i]:(((in @ X177 @ emptyset)=>~($true)))=>(![X178:$i]:(~(in @ X178 @ emptyset))=>(![X179:$i > $o]:((?[X180:$i]:(((X179 @ X180)&![X181:$i]:(((X179 @ X181)=>((X180)=(X181))))))=>?[X182:$i]:((X179 @ X182))))=>(![X183:$i, X184:$i]:((![X185:$i]:(((in @ X185 @ X183)=>(in @ X185 @ X184)))=>(![X186:$i]:(((in @ X186 @ X184)=>(in @ X186 @ X183)))=>((X183)=(X184)))))=>(![X187:$i]:((![X188:$i]:(~(in @ X188 @ X187))=>((X187)=(emptyset))))=>(![X189:$i]:((![X190:$i]:(~(in @ X190 @ X189))=>((X189)=(emptyset))))=>(![X191:$i, X192:$i > $o, X193:$i]:(((in @ X193 @ X191)=>((in @ X193 @ (dsetconstr @ X191 @ X192))<=>(X192 @ X193))))=>(![X194:$i]:((((X194)!=(emptyset))=>?[X195:$i]:((in @ X195 @ X194))))=>(![X196:$i, X197:$i > $o, X198:$i]:(((in @ X198 @ X196)=>((X197 @ X198)=>((dsetconstr @ X196 @ X197)!=(emptyset)))))=>(![X199:$i]:((?[X200:$i]:((in @ X200 @ X199))=>((X199)!=(emptyset))))=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[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_38, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_39]), foundationAx]), wellorderingAx]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_45]), setext]), emptyI]), noeltsimpempty]), c_0_46]), c_0_47]), c_0_48]), c_0_49])])]), c_0_50])).
% 0.22/0.28 thf(c_0_52, negated_conjecture, ![X203:$i, X204:$i, X206:$i, X207:$i, X208:$i, X209:$i, X210:$i, X211:$i, X212:$i, X213:$i, X214:$i, X216:$i, X217:$i, X219:$i, X220:$i, X221:$i, X222:$i, X223:$i, X225:$i, X226:$i > $i > $o, X227:$i, X229:$i, X232:$i, X234:$i, X235:$i, X236:$i, X237:$i, X239:$i, X240:$i > $o, X241:$i, X243:$i, X244:$i > $o, X245:$i, X246:$i, X247:$i > $o, X248:$i, X249:$i, X250:$i > $o, X251:$i, X252:$i > $o, X253:$i, X256:$i, X257:$o, X258:$i, X259:$i, X260:$o, X261:$i, X262:$i, X263:$i > $o, X264:$i, X267:$i, X268:$i, X271:$i, X273:$i, X275:$i, X276:$i > $o, X277:$i, X278:$i, X280:$i, X281:$i > $o, X282:$i, X283:$i, X284:$i]:((((~(in @ (esk1_2 @ X203 @ X204) @ X203)|~(in @ (esk1_2 @ X203 @ X204) @ X204)|((X203)=(X204)))&((in @ (esk1_2 @ X203 @ X204) @ X203)|(in @ (esk1_2 @ X203 @ X204) @ X204)|((X203)=(X204))))&(~(in @ X206 @ emptyset)&(((~(in @ X209 @ (setadjoin @ X207 @ X208))|(((X209)=(X207))|(in @ X209 @ X208)))&((((X209)!=(X207))|(in @ X209 @ (setadjoin @ X207 @ X208)))&(~(in @ X209 @ X208)|(in @ X209 @ (setadjoin @ X207 @ X208)))))&(((~(in @ X211 @ (powerset @ X210))|(~(in @ X212 @ X211)|(in @ X212 @ X210)))&(((in @ (esk2_2 @ X213 @ X214) @ X214)|(in @ X214 @ (powerset @ X213)))&(~(in @ (esk2_2 @ X213 @ X214) @ X213)|(in @ X214 @ (powerset @ X213)))))&(((((in @ X217 @ (esk3_2 @ X216 @ X217))|~(in @ X217 @ (setunion @ X216)))&((in @ (esk3_2 @ X216 @ X217) @ X216)|~(in @ X217 @ (setunion @ X216))))&(~(in @ X220 @ X221)|~(in @ X221 @ X219)|(in @ X220 @ (setunion @ X219))))&((in @ emptyset @ omega)&((~(in @ X222 @ omega)|(in @ (setadjoin @ X222 @ X222) @ omega))&(((((in @ (esk4_1 @ X223) @ omega)|~(in @ emptyset @ X223)|(~(in @ X225 @ omega)|(in @ X225 @ X223)))&((in @ (esk4_1 @ X223) @ X223)|~(in @ emptyset @ X223)|(~(in @ X225 @ omega)|(in @ X225 @ X223))))&(~(in @ (setadjoin @ (esk4_1 @ X223) @ (esk4_1 @ X223)) @ X223)|~(in @ emptyset @ X223)|(~(in @ X225 @ omega)|(in @ X225 @ X223))))&((((((in @ (esk8_3 @ X226 @ X227 @ X232) @ X227)|~(in @ X232 @ (esk7_2 @ X226 @ X227))|(in @ (esk5_2 @ X226 @ X227) @ X227))&((X226 @ (esk8_3 @ X226 @ X227 @ X232) @ X232)|~(in @ X232 @ (esk7_2 @ X226 @ X227))|(in @ (esk5_2 @ X226 @ X227) @ X227)))&(~(in @ X235 @ X227)|~(X226 @ X235 @ X234)|(in @ X234 @ (esk7_2 @ X226 @ X227))|(in @ (esk5_2 @ X226 @ X227) @ X227)))&(((((in @ (esk8_3 @ X226 @ X227 @ X232) @ X227)|~(in @ X232 @ (esk7_2 @ X226 @ X227))|((X226 @ (esk5_2 @ X226 @ X227) @ (esk6_3 @ X226 @ X227 @ X229))|~(X226 @ (esk5_2 @ X226 @ X227) @ X229)))&((X226 @ (esk8_3 @ X226 @ X227 @ X232) @ X232)|~(in @ X232 @ (esk7_2 @ X226 @ X227))|((X226 @ (esk5_2 @ X226 @ X227) @ (esk6_3 @ X226 @ X227 @ X229))|~(X226 @ (esk5_2 @ X226 @ X227) @ X229))))&(~(in @ X235 @ X227)|~(X226 @ X235 @ X234)|(in @ X234 @ (esk7_2 @ X226 @ X227))|((X226 @ (esk5_2 @ X226 @ X227) @ (esk6_3 @ X226 @ X227 @ X229))|~(X226 @ (esk5_2 @ X226 @ X227) @ X229))))&((((in @ (esk8_3 @ X226 @ X227 @ X232) @ X227)|~(in @ X232 @ (esk7_2 @ X226 @ X227))|(((X229)!=(esk6_3 @ X226 @ X227 @ X229))|~(X226 @ (esk5_2 @ X226 @ X227) @ X229)))&((X226 @ (esk8_3 @ X226 @ X227 @ X232) @ X232)|~(in @ X232 @ (esk7_2 @ X226 @ X227))|(((X229)!=(esk6_3 @ X226 @ X227 @ X229))|~(X226 @ (esk5_2 @ X226 @ X227) @ X229))))&(~(in @ X235 @ X227)|~(X226 @ X235 @ X234)|(in @ X234 @ (esk7_2 @ X226 @ X227))|(((X229)!=(esk6_3 @ X226 @ X227 @ X229))|~(X226 @ (esk5_2 @ X226 @ X227) @ X229))))))&((((in @ (esk9_1 @ X236) @ X236)|~(in @ X237 @ X236))&(~(in @ X239 @ (esk9_1 @ X236))|~(in @ X239 @ X236)|~(in @ X237 @ X236)))&((epred1_0)&((((X240 @ (esk10_2 @ X240 @ X241))|~(X240 @ X241)|(X240 @ (descr @ X240)))&(((X241)!=(esk10_2 @ X240 @ X241))|~(X240 @ X241)|(X240 @ (descr @ X240))))&((~(in @ X245 @ X243)|(~(X244 @ X245)|(in @ X245 @ (dsetconstr @ X243 @ X244))))&((~(in @ X248 @ (dsetconstr @ X246 @ X247))|(in @ X248 @ X246))&((~(in @ X251 @ (dsetconstr @ X249 @ X250))|(X250 @ X251))&(((((X252 @ (esk12_1 @ X252))|((X252 @ (esk11_2 @ X252 @ X253))|~(X252 @ X253)))&(~(X252 @ X256)|((esk12_1 @ X252)=(X256))|((X252 @ (esk11_2 @ X252 @ X253))|~(X252 @ X253))))&(((X252 @ (esk12_1 @ X252))|(((X253)!=(esk11_2 @ X252 @ X253))|~(X252 @ X253)))&(~(X252 @ X256)|((esk12_1 @ X252)=(X256))|(((X253)!=(esk11_2 @ X252 @ X253))|~(X252 @ X253)))))&((~(in @ X258 @ (prop2set @ ((X257))))|(X257))&((~(in @ X259 @ emptyset)|(X260))&((~(in @ X261 @ emptyset)|~($true))&(~(in @ X262 @ emptyset)&((((X263 @ (esk13_2 @ X263 @ X264))|~(X263 @ X264)|(X263 @ (esk14_1 @ X263)))&(((X264)!=(esk13_2 @ X263 @ X264))|~(X263 @ X264)|(X263 @ (esk14_1 @ X263))))&(((((in @ (esk16_2 @ X267 @ X268) @ X268)|((X267)=(X268))|(in @ (esk15_2 @ X267 @ X268) @ X267))&(~(in @ (esk16_2 @ X267 @ X268) @ X267)|((X267)=(X268))|(in @ (esk15_2 @ X267 @ X268) @ X267)))&(((in @ (esk16_2 @ X267 @ X268) @ X268)|((X267)=(X268))|~(in @ (esk15_2 @ X267 @ X268) @ X268))&(~(in @ (esk16_2 @ X267 @ X268) @ X267)|((X267)=(X268))|~(in @ (esk15_2 @ X267 @ X268) @ X268))))&(((in @ (esk17_1 @ X271) @ X271)|((X271)=(emptyset)))&(((in @ (esk18_1 @ X273) @ X273)|((X273)=(emptyset)))&(((~(in @ X277 @ (dsetconstr @ X275 @ X276))|(X276 @ X277)|~(in @ X277 @ X275))&(~(X276 @ X277)|(in @ X277 @ (dsetconstr @ X275 @ X276))|~(in @ X277 @ X275)))&((((X278)=(emptyset))|(in @ (esk19_1 @ X278) @ X278))&((~(in @ X282 @ X280)|(~(X281 @ X282)|((dsetconstr @ X280 @ X281)!=(emptyset))))&((~(in @ X284 @ X283)|((X283)!=(emptyset)))&~(in @ esk20_0 @ (setadjoin @ esk20_0 @ esk21_0))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])])])])).
% 0.22/0.28 thf(c_0_53, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ X4))|((X2)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_52])).
% 0.22/0.28 thf(c_0_54, negated_conjecture, ~((in @ esk20_0 @ (setadjoin @ esk20_0 @ esk21_0))), inference(split_conjunct,[status(thm)],[c_0_52])).
% 0.22/0.28 thf(c_0_55, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(er,[status(thm)],[c_0_53])).
% 0.22/0.28 thf(c_0_56, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])]), ['proof']).
% 0.22/0.28 % SZS output end CNFRefutation
% 0.22/0.28 % Parsed axioms : 71
% 0.22/0.28 % Removed by relevancy pruning/SinE : 0
% 0.22/0.28 % Initial clauses : 111
% 0.22/0.28 % Removed in clause preprocessing : 39
% 0.22/0.28 % Initial clauses in saturation : 72
% 0.22/0.28 % Processed clauses : 25
% 0.22/0.28 % ...of these trivial : 0
% 0.22/0.28 % ...subsumed : 4
% 0.22/0.28 % ...remaining for further processing : 21
% 0.22/0.28 % Other redundant clauses eliminated : 2
% 0.22/0.28 % Clauses deleted for lack of memory : 0
% 0.22/0.28 % Backward-subsumed : 0
% 0.22/0.28 % Backward-rewritten : 1
% 0.22/0.28 % Generated clauses : 2
% 0.22/0.28 % ...of the previous two non-redundant : 2
% 0.22/0.28 % ...aggressively subsumed : 0
% 0.22/0.28 % Contextual simplify-reflections : 0
% 0.22/0.28 % Paramodulations : 0
% 0.22/0.28 % Factorizations : 0
% 0.22/0.28 % NegExts : 0
% 0.22/0.28 % Equation resolutions : 2
% 0.22/0.28 % Disequality decompositions : 0
% 0.22/0.28 % Total rewrite steps : 1
% 0.22/0.28 % ...of those cached : 0
% 0.22/0.28 % Propositional unsat checks : 0
% 0.22/0.28 % Propositional check models : 0
% 0.22/0.28 % Propositional check unsatisfiable : 0
% 0.22/0.28 % Propositional clauses : 0
% 0.22/0.28 % Propositional clauses after purity: 0
% 0.22/0.28 % Propositional unsat core size : 0
% 0.22/0.28 % Propositional preprocessing time : 0.000
% 0.22/0.28 % Propositional encoding time : 0.000
% 0.22/0.28 % Propositional solver time : 0.000
% 0.22/0.28 % Success case prop preproc time : 0.000
% 0.22/0.28 % Success case prop encoding time : 0.000
% 0.22/0.28 % Success case prop solver time : 0.000
% 0.22/0.28 % Current number of processed clauses : 18
% 0.22/0.28 % Positive orientable unit clauses : 5
% 0.22/0.28 % Positive unorientable unit clauses: 0
% 0.22/0.28 % Negative unit clauses : 3
% 0.22/0.28 % Non-unit-clauses : 10
% 0.22/0.28 % Current number of unprocessed clauses: 49
% 0.22/0.28 % ...number of literals in the above : 186
% 0.22/0.28 % Current number of archived formulas : 0
% 0.22/0.28 % Current number of archived clauses : 1
% 0.22/0.28 % Clause-clause subsumption calls (NU) : 13
% 0.22/0.28 % Rec. Clause-clause subsumption calls : 12
% 0.22/0.28 % Non-unit clause-clause subsumptions : 1
% 0.22/0.28 % Unit Clause-clause subsumption calls : 11
% 0.22/0.28 % Rewrite failures with RHS unbound : 0
% 0.22/0.28 % BW rewrite match attempts : 1
% 0.22/0.28 % BW rewrite match successes : 1
% 0.22/0.28 % Condensation attempts : 25
% 0.22/0.28 % Condensation successes : 1
% 0.22/0.28 % Termbank termtop insertions : 9405
% 0.22/0.28 % Search garbage collected termcells : 3484
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.007 s
% 0.22/0.28 % System time : 0.004 s
% 0.22/0.28 % Total time : 0.011 s
% 0.22/0.28 % Maximum resident set size: 4424 pages
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.020 s
% 0.22/0.28 % System time : 0.015 s
% 0.22/0.28 % Total time : 0.035 s
% 0.22/0.28 % Maximum resident set size: 4864 pages
% 0.22/0.28 % E exiting
%------------------------------------------------------------------------------