0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.11/0.33 % Computer : n024.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1440 0.11/0.33 % WCLimit : 180 0.11/0.33 % DateTime : Thu Jul 4 04:51:08 EDT 2024 0.11/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.49 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=180 /export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p 0.20/0.55 # Version: 3.2.0-ho 0.20/0.55 # Preprocessing class: HSMSSLSSLLLCHFA. 0.20/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.55 # Starting new_ho_10 with 900s (5) cores 0.20/0.55 # Starting sh5l with 180s (1) cores 0.20/0.55 # Starting new_bool_1 with 180s (1) cores 0.20/0.55 # Starting new_bool_2 with 180s (1) cores 0.20/0.55 # new_ho_10 with pid 14034 completed with status 0 0.20/0.55 # Result found by new_ho_10 0.20/0.55 # Preprocessing class: HSMSSLSSLLLCHFA. 0.20/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.55 # Starting new_ho_10 with 900s (5) cores 0.20/0.55 # No SInE strategy applied 0.20/0.55 # Search class: HGHSM-FSLM31-SHFMMMBN 0.20/0.55 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.20/0.55 # Starting ho_unfolding_3 with 487s (1) cores 0.20/0.55 # Starting new_ho_10 with 91s (1) cores 0.20/0.55 # Starting lpo1_def_fix with 82s (1) cores 0.20/0.55 # Starting full_lambda_2 with 82s (1) cores 0.20/0.55 # Starting new_ho_14 with 82s (1) cores 0.20/0.55 # new_ho_10 with pid 14042 completed with status 0 0.20/0.55 # Result found by new_ho_10 0.20/0.55 # Preprocessing class: HSMSSLSSLLLCHFA. 0.20/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.55 # Starting new_ho_10 with 900s (5) cores 0.20/0.55 # No SInE strategy applied 0.20/0.55 # Search class: HGHSM-FSLM31-SHFMMMBN 0.20/0.55 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.20/0.55 # Starting ho_unfolding_3 with 487s (1) cores 0.20/0.55 # Starting new_ho_10 with 91s (1) cores 0.20/0.55 # Preprocessing time : 0.003 s 0.20/0.55 # Presaturation interreduction done 0.20/0.55 0.20/0.55 # Proof found! 0.20/0.55 # SZS status Theorem 0.20/0.55 # SZS output start CNFRefutation 0.20/0.55 thf(decl_22, type, in: $i > $i > $o). 0.20/0.55 thf(decl_23, type, exu: ($i > $o) > $o). 0.20/0.55 thf(decl_24, type, setextAx: $o). 0.20/0.55 thf(decl_25, type, emptyset: $i). 0.20/0.55 thf(decl_26, type, emptysetAx: $o). 0.20/0.55 thf(decl_27, type, setadjoin: $i > $i > $i). 0.20/0.55 thf(decl_28, type, setadjoinAx: $o). 0.20/0.55 thf(decl_29, type, powerset: $i > $i). 0.20/0.55 thf(decl_30, type, powersetAx: $o). 0.20/0.55 thf(decl_31, type, setunion: $i > $i). 0.20/0.55 thf(decl_32, type, setunionAx: $o). 0.20/0.55 thf(decl_33, type, omega: $i). 0.20/0.55 thf(decl_34, type, omega0Ax: $o). 0.20/0.55 thf(decl_35, type, omegaSAx: $o). 0.20/0.55 thf(decl_36, type, omegaIndAx: $o). 0.20/0.55 thf(decl_37, type, replAx: $o). 0.20/0.55 thf(decl_38, type, foundationAx: $o). 0.20/0.55 thf(decl_39, type, wellorderingAx: $o). 0.20/0.55 thf(decl_40, type, descr: ($i > $o) > $i). 0.20/0.55 thf(decl_41, type, descrp: $o). 0.20/0.55 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.20/0.55 thf(decl_43, type, dsetconstrI: $o). 0.20/0.55 thf(decl_44, type, dsetconstrEL: $o). 0.20/0.55 thf(decl_45, type, dsetconstrER: $o). 0.20/0.55 thf(decl_46, type, exuE1: $o). 0.20/0.55 thf(decl_47, type, prop2set: $o > $i). 0.20/0.55 thf(decl_48, type, prop2setE: $o). 0.20/0.55 thf(decl_49, type, emptysetE: $o). 0.20/0.55 thf(decl_50, type, emptysetimpfalse: $o). 0.20/0.55 thf(decl_51, type, notinemptyset: $o). 0.20/0.55 thf(decl_52, type, exuE3e: $o). 0.20/0.55 thf(decl_53, type, setext: $o). 0.20/0.55 thf(decl_54, type, emptyI: $o). 0.20/0.55 thf(decl_55, type, noeltsimpempty: $o). 0.20/0.55 thf(decl_56, type, setbeta: $o). 0.20/0.55 thf(decl_57, type, nonempty: $i > $o). 0.20/0.55 thf(decl_58, type, nonemptyE1: $o). 0.20/0.55 thf(decl_59, type, nonemptyI: $o). 0.20/0.55 thf(decl_60, type, nonemptyI1: $o). 0.20/0.55 thf(decl_61, type, setadjoinIL: $o). 0.20/0.55 thf(decl_62, type, emptyinunitempty: $o). 0.20/0.55 thf(decl_63, type, setadjoinIR: $o). 0.20/0.55 thf(decl_64, type, setadjoinE: $o). 0.20/0.55 thf(decl_65, type, setadjoinOr: $o). 0.20/0.55 thf(decl_66, type, setoftrueEq: $o). 0.20/0.55 thf(decl_67, type, powersetI: $o). 0.20/0.55 thf(decl_68, type, emptyinPowerset: $o). 0.20/0.55 thf(decl_69, type, emptyInPowerset: $o). 0.20/0.55 thf(decl_70, type, powersetE: $o). 0.20/0.55 thf(decl_71, type, setunionI: $o). 0.20/0.55 thf(decl_72, type, setunionE: $o). 0.20/0.55 thf(decl_73, type, subPowSU: $o). 0.20/0.55 thf(decl_74, type, exuE2: $o). 0.20/0.55 thf(decl_75, type, nonemptyImpWitness: $o). 0.20/0.55 thf(decl_76, type, uniqinunit: $o). 0.20/0.55 thf(decl_77, type, notinsingleton: $o). 0.20/0.55 thf(decl_78, type, eqinunit: $o). 0.20/0.55 thf(decl_79, type, singletonsswitch: $o). 0.20/0.55 thf(decl_80, type, upairsetE: $o). 0.20/0.55 thf(decl_81, type, upairsetIL: $o). 0.20/0.55 thf(decl_82, type, upairsetIR: $o). 0.20/0.55 thf(decl_83, type, emptyE1: $o). 0.20/0.55 thf(decl_84, type, vacuousDall: $o). 0.20/0.55 thf(decl_85, type, quantDeMorgan1: $o). 0.20/0.55 thf(decl_86, type, quantDeMorgan2: $o). 0.20/0.55 thf(decl_87, type, quantDeMorgan3: $o). 0.20/0.55 thf(decl_88, type, quantDeMorgan4: $o). 0.20/0.55 thf(decl_89, type, prop2setI: $o). 0.20/0.55 thf(decl_90, type, set2prop: $i > $o). 0.20/0.55 thf(decl_91, type, prop2set2propI: $o). 0.20/0.55 thf(decl_92, type, notdexE: $o). 0.20/0.55 thf(decl_93, type, notdallE: $o). 0.20/0.55 thf(decl_94, type, exuI1: $o). 0.20/0.55 thf(decl_95, type, exuI3: $o). 0.20/0.55 thf(decl_96, type, exuI2: $o). 0.20/0.55 thf(decl_97, type, inCongP: $o). 0.20/0.55 thf(decl_98, type, in__Cong: $o). 0.20/0.55 thf(decl_99, type, exuE3u: $o). 0.20/0.55 thf(decl_100, type, exu__Cong: $o). 0.20/0.55 thf(decl_101, type, emptyset__Cong: $o). 0.20/0.55 thf(decl_102, type, setadjoin__Cong: $o). 0.20/0.55 thf(decl_103, type, powerset__Cong: $o). 0.20/0.55 thf(decl_104, type, setunion__Cong: $o). 0.20/0.55 thf(decl_105, type, omega__Cong: $o). 0.20/0.55 thf(decl_106, type, exuEu: $o). 0.20/0.55 thf(decl_107, type, descr__Cong: $o). 0.20/0.55 thf(decl_108, type, dsetconstr__Cong: $o). 0.20/0.55 thf(decl_109, type, subset: $i > $i > $o). 0.20/0.55 thf(decl_112, type, subsetI1: $o). 0.20/0.55 thf(decl_113, type, eqimpsubset2: $o). 0.20/0.55 thf(decl_114, type, eqimpsubset1: $o). 0.20/0.55 thf(decl_115, type, subsetI2: $o). 0.20/0.55 thf(decl_116, type, emptysetsubset: $o). 0.20/0.55 thf(decl_117, type, epred1_0: $o). 0.20/0.55 thf(decl_118, type, esk1_2: $i > $i > $i). 0.20/0.55 thf(decl_119, type, esk2_2: $i > $i > $i). 0.20/0.55 thf(decl_120, type, esk3_2: $i > $i > $i). 0.20/0.55 thf(decl_121, type, esk4_1: $i > $i). 0.20/0.55 thf(decl_122, type, esk5_2: ($i > $i > $o) > $i > $i). 0.20/0.55 thf(decl_123, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.20/0.55 thf(decl_124, type, esk7_2: ($i > $i > $o) > $i > $i). 0.20/0.55 thf(decl_125, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.20/0.55 thf(decl_126, type, esk9_1: $i > $i). 0.20/0.55 thf(decl_127, type, esk10_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_128, type, esk11_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_129, type, esk12_1: ($i > $o) > $i). 0.20/0.55 thf(decl_130, type, esk13_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_131, type, esk14_1: ($i > $o) > $i). 0.20/0.55 thf(decl_132, type, esk15_2: $i > $i > $i). 0.20/0.55 thf(decl_133, type, esk16_2: $i > $i > $i). 0.20/0.55 thf(decl_134, type, esk17_1: $i > $i). 0.20/0.55 thf(decl_135, type, esk18_1: $i > $i). 0.20/0.55 thf(decl_136, type, esk19_1: $i > $i). 0.20/0.55 thf(decl_137, type, esk20_2: $i > $i > $i). 0.20/0.55 thf(decl_138, type, esk21_3: $i > $i > $o > $i). 0.20/0.55 thf(decl_139, type, esk22_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_140, type, esk23_1: ($i > $o) > $i). 0.20/0.55 thf(decl_141, type, esk24_1: $i > $i). 0.20/0.55 thf(decl_142, type, esk25_2: $i > ($i > $o) > $i). 0.20/0.55 thf(decl_143, type, esk26_2: $i > ($i > $o) > $i). 0.20/0.55 thf(decl_144, type, esk27_2: $i > ($i > $o) > $i). 0.20/0.55 thf(decl_145, type, esk28_2: $i > ($i > $o) > $i). 0.20/0.55 thf(decl_146, type, esk29_2: $i > ($i > $o) > $i). 0.20/0.55 thf(decl_147, type, esk30_2: $i > ($i > $o) > $i). 0.20/0.55 thf(decl_148, type, esk31_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_149, type, esk32_1: ($i > $o) > $i). 0.20/0.55 thf(decl_150, type, esk33_1: ($i > $o) > $i). 0.20/0.55 thf(decl_151, type, esk34_1: ($i > $o) > $i). 0.20/0.55 thf(decl_152, type, esk35_1: ($i > $o) > $i). 0.20/0.55 thf(decl_153, type, esk36_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_154, type, esk37_1: ($i > $o) > $i). 0.20/0.55 thf(decl_155, type, esk38_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_156, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_157, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_158, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.20/0.55 thf(decl_159, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_160, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.20/0.55 thf(decl_161, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_162, type, esk45_2: ($i > $o) > $i > $i). 0.20/0.55 thf(decl_163, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_164, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_165, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.20/0.55 thf(decl_166, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.20/0.55 thf(decl_167, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_168, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.20/0.55 thf(decl_169, type, esk52_2: $i > $i > $i). 0.20/0.55 thf(decl_170, type, esk53_2: $i > $i > $i). 0.20/0.55 thf(decl_171, type, esk54_0: $i). 0.20/0.55 thf(decl_172, type, esk55_0: $i). 0.20/0.55 thf(decl_173, type, esk56_0: $i). 0.20/0.55 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', replAx)). 0.20/0.55 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exu)). 0.20/0.55 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', descrp)). 0.20/0.55 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuE1)). 0.20/0.55 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuE3e)). 0.20/0.55 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', nonempty)). 0.20/0.55 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', nonemptyI)). 0.20/0.55 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuE2)). 0.20/0.55 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuI1)). 0.20/0.55 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuI3)). 0.20/0.55 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuI2)). 0.20/0.55 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuE3u)). 0.20/0.55 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exu__Cong)). 0.20/0.55 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', exuEu)). 0.20/0.55 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', descr__Cong)). 0.20/0.55 thf(subset, axiom, ((subset)=(^[X4:$i, X5:$i]:(![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', subset)). 0.20/0.55 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', dsetconstrI)). 0.20/0.55 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', dsetconstrEL)). 0.20/0.55 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', dsetconstrER)). 0.20/0.55 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setbeta)). 0.20/0.55 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', nonemptyE1)). 0.20/0.55 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', nonemptyI1)). 0.20/0.55 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setoftrueEq)). 0.20/0.55 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', nonemptyImpWitness)). 0.20/0.55 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptyE1)). 0.20/0.55 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', dsetconstr__Cong)). 0.20/0.55 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', subsetI1)). 0.20/0.55 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', eqimpsubset2)). 0.20/0.55 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', eqimpsubset1)). 0.20/0.55 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', subsetI2)). 0.20/0.55 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptysetsubset)). 0.20/0.55 thf(subsetE, conjecture, (((emptysetAx)=>((((((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>(((emptysetimpfalse)=>(((((emptyI)=>(((setbeta)=>((((nonemptyI1)=>((setadjoinIL)=>((((((setoftrueEq)=>((((((setunionI)=>((setunionE)=>(((exuE2)=>((((((singletonsswitch)=>((((((vacuousDall)=>((((quantDeMorgan3)=>((((prop2set2propI)=>(((notdallE)=>((exuI1)=>(((exuI2)=>((((exuE3u)=>(((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>(((omega__Cong)=>((exuEu)=>((((subsetI1)=>((eqimpsubset2)=>(((subsetI2)=>(![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X5)<=(in @ X2 @ X4))))<=(emptysetsubset)))<=(eqimpsubset1))))<=(dsetconstr__Cong))<=(descr__Cong))))<=(setunion__Cong)))))<=(exu__Cong)))<=(in__Cong))<=(inCongP)))<=(exuI3))))<=(notdexE)))<=(prop2setI))<=(quantDeMorgan4)))<=(quantDeMorgan2))<=(quantDeMorgan1)))<=(emptyE1))<=(upairsetIR))<=(upairsetIL))<=(upairsetE)))<=(eqinunit))<=(notinsingleton))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU))))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty))))<=(nonemptyI))<=(nonemptyE1)))<=(noeltsimpempty)))<=(setext))<=(exuE3e))<=(notinemptyset)))<=(emptysetE))))))<=(dsetconstrI))<=(descrp)))))))<=(omega0Ax))<=(setunionAx))<=(powersetAx))<=(setadjoinAx)))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', subsetE)). 0.20/0.55 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setextAx)). 0.20/0.55 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptysetAx)). 0.20/0.55 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setadjoinAx)). 0.20/0.55 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', powersetAx)). 0.20/0.55 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setunionAx)). 0.20/0.55 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', omega0Ax)). 0.20/0.55 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', omegaSAx)). 0.20/0.55 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.E6YtY3ZqYp/E---3.1_13956.p', omegaIndAx)). 0.20/0.55 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.E6YtY3ZqYp/E---3.1_13956.p', foundationAx)). 0.20/0.55 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', wellorderingAx)). 0.20/0.55 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', prop2setE)). 0.20/0.55 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptysetE)). 0.20/0.55 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptysetimpfalse)). 0.20/0.55 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', notinemptyset)). 0.20/0.55 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.E6YtY3ZqYp/E---3.1_13956.p', setext)). 0.20/0.55 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptyI)). 0.20/0.55 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', noeltsimpempty)). 0.20/0.55 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setadjoinIL)). 0.20/0.55 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptyinunitempty)). 0.20/0.55 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setadjoinIR)). 0.20/0.55 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setadjoinE)). 0.20/0.55 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setadjoinOr)). 0.20/0.55 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', powersetI)). 0.20/0.55 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptyinPowerset)). 0.20/0.55 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptyInPowerset)). 0.20/0.55 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', powersetE)). 0.20/0.55 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setunionI)). 0.20/0.55 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setunionE)). 0.20/0.55 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', subPowSU)). 0.20/0.55 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', uniqinunit)). 0.20/0.55 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', notinsingleton)). 0.20/0.55 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', eqinunit)). 0.20/0.55 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', singletonsswitch)). 0.20/0.55 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', upairsetE)). 0.20/0.55 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', upairsetIL)). 0.20/0.55 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', upairsetIR)). 0.20/0.55 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', vacuousDall)). 0.20/0.55 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', quantDeMorgan1)). 0.20/0.55 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', quantDeMorgan2)). 0.20/0.55 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', quantDeMorgan3)). 0.20/0.55 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', quantDeMorgan4)). 0.20/0.55 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', prop2setI)). 0.20/0.55 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', prop2set2propI)). 0.20/0.55 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', notdexE)). 0.20/0.55 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', notdallE)). 0.20/0.55 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', inCongP)). 0.20/0.55 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', in__Cong)). 0.20/0.55 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', emptyset__Cong)). 0.20/0.55 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setadjoin__Cong)). 0.20/0.55 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', powerset__Cong)). 0.20/0.55 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', setunion__Cong)). 0.20/0.55 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.E6YtY3ZqYp/E---3.1_13956.p', omega__Cong)). 0.20/0.55 thf(c_0_84, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.20/0.55 thf(c_0_85, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.20/0.55 thf(c_0_86, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.20/0.55 thf(c_0_87, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.20/0.55 thf(c_0_88, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.20/0.55 thf(c_0_89, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.20/0.55 thf(c_0_90, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.20/0.55 thf(c_0_91, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.20/0.55 thf(c_0_92, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 0.20/0.55 thf(c_0_93, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.20/0.55 thf(c_0_94, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.20/0.55 thf(c_0_95, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 0.20/0.55 thf(c_0_96, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.20/0.55 thf(c_0_97, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.20/0.55 thf(c_0_98, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.20/0.55 thf(c_0_99, plain, ((subset)=(^[Z0/* 19 */:$i, Z1:$i]:(![X2:$i]:(((in @ X2 @ Z0)=>(in @ X2 @ Z1)))))), inference(fof_simplification,[status(thm)],[subset])). 0.20/0.55 thf(c_0_100, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X245:$i]:((((X6 @ X2 @ X245))&![X246:$i]:((((X6 @ X2 @ X246))=>((X245)=(X246)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_84, c_0_85])). 0.20/0.55 thf(c_0_101, plain, ((descrp)=(![X1:$i > $o]:(((?[X247:$i]:((((X1 @ X247))&![X248:$i]:((((X1 @ X248))=>((X247)=(X248)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_85])). 0.20/0.55 thf(c_0_102, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.20/0.55 thf(c_0_103, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.20/0.55 thf(c_0_104, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.20/0.55 thf(c_0_105, plain, ((exuE1)=(![X1:$i > $o]:(((?[X249:$i]:((((X1 @ X249))&![X250:$i]:((((X1 @ X250))=>((X249)=(X250)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_87, c_0_85])). 0.20/0.55 thf(c_0_106, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X251:$i]:((((X1 @ X251))&![X252:$i]:((((X1 @ X252))=>((X251)=(X252)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_88, c_0_85])). 0.20/0.55 thf(c_0_107, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.20/0.55 thf(c_0_108, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_89])). 0.20/0.55 thf(c_0_109, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_89])). 0.20/0.55 thf(c_0_110, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_89])). 0.20/0.55 thf(c_0_111, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.20/0.55 thf(c_0_112, plain, ((exuE2)=(![X1:$i > $o]:(((?[X253:$i]:((((X1 @ X253))&![X254:$i]:((((X1 @ X254))=>((X253)=(X254)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_85])). 0.20/0.55 thf(c_0_113, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_89])). 0.20/0.55 thf(c_0_114, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])). 0.20/0.55 thf(c_0_115, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X255:$i]:((((X1 @ X255))&![X256:$i]:((((X1 @ X256))=>((X255)=(X256))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_85])). 0.20/0.55 thf(c_0_116, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X257:$i]:((((X1 @ X257))&![X258:$i]:((((X1 @ X258))=>((X257)=(X258)))))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_85])). 0.20/0.55 thf(c_0_117, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X259:$i]:((((X1 @ X259))&![X260:$i]:((((X1 @ X260))=>((X259)=(X260))))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_85])). 0.20/0.55 thf(c_0_118, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X261:$i]:((((X1 @ X261))&![X262:$i]:((((X1 @ X262))=>((X261)=(X262)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_85])). 0.20/0.55 thf(c_0_119, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X263:$i]:((((X1 @ X263))&![X264:$i]:((((X1 @ X264))=>((X263)=(X264)))))))<=>(?[X265:$i]:((((X17 @ X265))&![X266:$i]:((((X17 @ X266))=>((X265)=(X266)))))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_85])). 0.20/0.55 thf(c_0_120, plain, ((exuEu)=(![X1:$i > $o]:(((?[X267:$i]:((((X1 @ X267))&![X268:$i]:((((X1 @ X268))=>((X267)=(X268)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_85])). 0.20/0.55 thf(c_0_121, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X269:$i]:((((X1 @ X269))&![X270:$i]:((((X1 @ X270))=>((X269)=(X270)))))))=>((?[X271:$i]:((((X17 @ X271))&![X272:$i]:((((X17 @ X272))=>((X271)=(X272)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_85])). 0.20/0.55 thf(c_0_122, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.20/0.55 thf(c_0_123, axiom, ((subsetI1)=(![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X273:$i]:(((in @ X273 @ X4)=>(in @ X273 @ X5)))))))), inference(apply_def,[status(thm)],[subsetI1, c_0_99])). 0.20/0.55 thf(c_0_124, axiom, ((eqimpsubset2)=(![X4:$i, X5:$i]:((((X4)=(X5))=>(![X274:$i]:(((in @ X274 @ X5)=>(in @ X274 @ X4)))))))), inference(apply_def,[status(thm)],[eqimpsubset2, c_0_99])). 0.20/0.55 thf(c_0_125, axiom, ((eqimpsubset1)=(![X4:$i, X5:$i]:((((X4)=(X5))=>(![X275:$i]:(((in @ X275 @ X4)=>(in @ X275 @ X5)))))))), inference(apply_def,[status(thm)],[eqimpsubset1, c_0_99])). 0.20/0.55 thf(c_0_126, axiom, ((subsetI2)=(![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X276:$i]:(((in @ X276 @ X4)=>(in @ X276 @ X5)))))))), inference(apply_def,[status(thm)],[subsetI2, c_0_99])). 0.20/0.55 thf(c_0_127, axiom, ((emptysetsubset)=(![X4:$i]:((![X277:$i]:(((in @ X277 @ emptyset)=>(in @ X277 @ X4))))))), inference(apply_def,[status(thm)],[emptysetsubset, c_0_99])). 0.20/0.55 thf(c_0_128, plain, ((epred1_0)<=>![X295:$i]:(?[X296:$i]:((((![X297:$i]:(((in @ X297 @ X296)=>![X298:$i]:(((in @ X298 @ X297)=>(in @ X298 @ X295)))))&![X299:$i, X300:$i]:((((in @ X299 @ X295)&(in @ X300 @ X295))=>(![X301:$i]:(((in @ X301 @ X296)=>((in @ X299 @ X301)<=>(in @ X300 @ X301))))=>((X299)=(X300))))))&![X302:$i, X303:$i]:((((in @ X302 @ X296)&(in @ X303 @ X296))=>(![X304:$i]:(((in @ X304 @ X302)=>(in @ X304 @ X303)))|![X305:$i]:(((in @ X305 @ X303)=>(in @ X305 @ X302)))))))&![X306:$i]:(((![X307:$i]:(((in @ X307 @ X306)=>(in @ X307 @ X295)))&?[X308:$i]:((in @ X308 @ X306)))=>?[X309:$i, X310:$i]:(((((in @ X309 @ X296)&(in @ X310 @ X306))&~(?[X311:$i]:(((in @ X311 @ X309)&(in @ X311 @ X306)))))&![X312:$i]:(((in @ X312 @ X296)=>(![X313:$i]:(((in @ X313 @ X312)=>(in @ X313 @ X309)))|(in @ X310 @ X312)))))))))))), introduced(definition)). 0.20/0.55 thf(c_0_129, negated_conjecture, ~((![X532:$i, X533:$i]:((![X534:$i]:(((in @ X534 @ X532)<=>(in @ X534 @ X533)))=>((X532)=(X533))))=>(![X278:$i]:(~(in @ X278 @ emptyset))=>(![X529:$i, X530:$i, X531:$i]:(((in @ X531 @ (setadjoin @ X529 @ X530))<=>(((X531)=(X529))|(in @ X531 @ X530))))=>(![X526:$i, X527:$i]:(((in @ X527 @ (powerset @ X526))<=>![X528:$i]:(((in @ X528 @ X527)=>(in @ X528 @ X526)))))=>(![X523:$i, X524:$i]:(((in @ X524 @ (setunion @ X523))<=>?[X525:$i]:(((in @ X524 @ X525)&(in @ X525 @ X523)))))=>((in @ emptyset @ omega)=>(![X279:$i]:(((in @ X279 @ omega)=>(in @ (setadjoin @ X279 @ X279) @ omega)))=>(![X280:$i]:((((in @ emptyset @ X280)&![X281:$i]:((((in @ X281 @ omega)&(in @ X281 @ X280))=>(in @ (setadjoin @ X281 @ X281) @ X280))))=>![X282:$i]:(((in @ X282 @ omega)=>(in @ X282 @ X280)))))=>(![X283:$i > $i > $o, X284:$i]:((![X285:$i]:(((in @ X285 @ X284)=>?[X286:$i]:(((X283 @ X285 @ X286)&![X287:$i]:(((X283 @ X285 @ X287)=>((X286)=(X287))))))))=>?[X288:$i]:(![X289:$i]:(((in @ X289 @ X288)<=>?[X290:$i]:(((in @ X290 @ X284)&(X283 @ X290 @ X289))))))))=>(![X291:$i]:((?[X292:$i]:((in @ X292 @ X291))=>?[X293:$i]:(((in @ X293 @ X291)&~(?[X294:$i]:(((in @ X294 @ X293)&(in @ X294 @ X291))))))))=>((epred1_0)=>(![X520:$i > $o]:((?[X521:$i]:(((X520 @ X521)&![X522:$i]:(((X520 @ X522)=>((X521)=(X522))))))=>(X520 @ (descr @ (^[Z0/* 17 */:$i]:(X520 @ Z0))))))=>(![X517:$i, X518:$i > $o, X519:$i]:(((in @ X519 @ X517)=>((X518 @ X519)=>(in @ X519 @ (dsetconstr @ X517 @ X518)))))=>(![X314:$i, X315:$i > $o, X316:$i]:(((in @ X316 @ (dsetconstr @ X314 @ X315))=>(in @ X316 @ X314)))=>(![X317:$i, X318:$i > $o, X319:$i]:(((in @ X319 @ (dsetconstr @ X317 @ X318))=>(X318 @ X319)))=>(![X320:$i > $o]:((?[X321:$i]:(((X320 @ X321)&![X322:$i]:(((X320 @ X322)=>((X321)=(X322))))))=>?[X323:$i]:(((X320 @ X323)&![X324:$i]:(((X320 @ X324)=>((X323)=(X324))))))))=>(![X325:$o, X326:$i]:(((in @ X326 @ (prop2set @ ((X325))))=>(X325)))=>(![X515:$i]:(((in @ X515 @ emptyset)=>![X516:$o]:((X516))))=>(![X327:$i]:(((in @ X327 @ emptyset)=>~($true)))=>(![X514:$i]:(~(in @ X514 @ emptyset))=>(![X510:$i > $o]:((?[X511:$i]:(((X510 @ X511)&![X512:$i]:(((X510 @ X512)=>((X511)=(X512))))))=>?[X513:$i]:((X510 @ X513))))=>(![X506:$i, X507:$i]:((![X508:$i]:(((in @ X508 @ X506)=>(in @ X508 @ X507)))=>(![X509:$i]:(((in @ X509 @ X507)=>(in @ X509 @ X506)))=>((X506)=(X507)))))=>(![X328:$i]:((![X329:$i]:(~(in @ X329 @ X328))=>((X328)=(emptyset))))=>(![X504:$i]:((![X505:$i]:(~(in @ X505 @ X504))=>((X504)=(emptyset))))=>(![X330:$i, X331:$i > $o, X332:$i]:(((in @ X332 @ X330)=>((in @ X332 @ (dsetconstr @ X330 @ X331))<=>(X331 @ X332))))=>(![X502:$i]:((((X502)!=(emptyset))=>?[X503:$i]:((in @ X503 @ X502))))=>(![X499:$i, X500:$i > $o, X501:$i]:(((in @ X501 @ X499)=>((X500 @ X501)=>((dsetconstr @ X499 @ X500)!=(emptyset)))))=>(![X333:$i]:((?[X334:$i]:((in @ X334 @ X333))=>((X333)!=(emptyset))))=>(![X335:$i, X336:$i]:((in @ X335 @ (setadjoin @ X335 @ X336)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X496:$i, X497:$i, X498:$i]:(((in @ X498 @ X497)=>(in @ X498 @ (setadjoin @ X496 @ X497))))=>(![X492:$i, X493:$i, X494:$i]:(((in @ X494 @ (setadjoin @ X492 @ X493))=>![X495:$o]:(((((X494)=(X492))=>(X495))=>(((in @ X494 @ X493)=>(X495))=>(X495))))))=>(![X489:$i, X490:$i, X491:$i]:(((in @ X491 @ (setadjoin @ X489 @ X490))=>(((X491)=(X489))|(in @ X491 @ X490))))=>(![X337:$i]:(((dsetconstr @ X337 @ (^[Z0/* 1 */:$i]:($true)))=(X337)))=>(![X486:$i, X487:$i]:((![X488:$i]:(((in @ X488 @ X487)=>(in @ X488 @ X486)))=>(in @ X487 @ (powerset @ X486))))=>(![X485:$i]:((in @ emptyset @ (powerset @ X485)))=>(![X484:$i]:((in @ emptyset @ (powerset @ X484)))=>(![X481:$i, X482:$i, X483:$i]:(((in @ X482 @ (powerset @ X481))=>((in @ X483 @ X482)=>(in @ X483 @ X481))))=>(![X338:$i, X339:$i, X340:$i]:(((in @ X339 @ X340)=>((in @ X340 @ X338)=>(in @ X339 @ (setunion @ X338)))))=>(![X341:$i, X342:$i]:(((in @ X342 @ (setunion @ X341))=>![X343:$o]:((![X344:$i]:(((in @ X342 @ X344)=>((in @ X344 @ X341)=>(X343))))=>(X343)))))=>(![X479:$i, X480:$i]:(((in @ X480 @ X479)=>(in @ X480 @ (powerset @ (setunion @ X479)))))=>(![X345:$i > $o]:((?[X346:$i]:(((X345 @ X346)&![X347:$i]:(((X345 @ X347)=>((X346)=(X347))))))=>?[X348:$i]:(![X349:$i]:(((X345 @ X349)<=>((X349)=(X348)))))))=>(![X477:$i]:((((X477)!=(emptyset))=>?[X478:$i]:(((in @ X478 @ X477)&$true))))=>(![X475:$i, X476:$i]:(((in @ X475 @ (setadjoin @ X476 @ emptyset))=>((X475)=(X476))))=>(![X473:$i, X474:$i]:((((X473)!=(X474))=>~(in @ X474 @ (setadjoin @ X473 @ emptyset))))=>(![X471:$i, X472:$i]:((((X471)=(X472))=>(in @ X471 @ (setadjoin @ X472 @ emptyset))))=>(![X350:$i, X351:$i]:(((in @ X350 @ (setadjoin @ X351 @ emptyset))=>(in @ X351 @ (setadjoin @ X350 @ emptyset))))=>(![X468:$i, X469:$i, X470:$i]:(((in @ X470 @ (setadjoin @ X468 @ (setadjoin @ X469 @ emptyset)))=>(((X470)=(X468))|((X470)=(X469)))))=>(![X466:$i, X467:$i]:((in @ X466 @ (setadjoin @ X466 @ (setadjoin @ X467 @ emptyset))))=>(![X464:$i, X465:$i]:((in @ X465 @ (setadjoin @ X464 @ (setadjoin @ X465 @ emptyset))))=>(![X461:$i, X462:$i > $o]:((?[X463:$i]:(((in @ X463 @ X461)&(X462 @ X463)))=>(((dsetconstr @ X461 @ X462)=(emptyset))=>~($true))))=>(![X352:$i > $o, X353:$i]:(((in @ X353 @ emptyset)=>(X352 @ X353)))=>(![X457:$i, X458:$i > $o]:((~(![X459:$i]:(((in @ X459 @ X457)=>(X458 @ X459))))=>?[X460:$i]:(((in @ X460 @ X457)&~((X458 @ X460))))))=>(![X453:$i, X454:$i > $o]:((![X455:$i]:(((in @ X455 @ X453)=>~((X454 @ X455))))=>~(?[X456:$i]:(((in @ X456 @ X453)&(X454 @ X456))))))=>(![X354:$i, X355:$i > $o]:((~(?[X356:$i]:(((in @ X356 @ X354)&(X355 @ X356))))=>![X357:$i]:(((in @ X357 @ X354)=>~((X355 @ X357))))))=>(![X449:$i, X450:$i > $o]:((?[X451:$i]:(((in @ X451 @ X449)&~((X450 @ X451))))=>~(![X452:$i]:(((in @ X452 @ X449)=>(X450 @ X452))))))=>(![X448:$o]:(((X448)=>(in @ emptyset @ (prop2set @ ((X448))))))=>(![X358:$o]:(((X358)=>(set2prop @ (prop2set @ ((X358))))))=>(![X444:$i, X445:$i > $o]:((~(?[X446:$i]:(((in @ X446 @ X444)&(X445 @ X446))))=>![X447:$i]:(((in @ X447 @ X444)=>~((X445 @ X447))))))=>(![X359:$i, X360:$i > $o]:((~(![X361:$i]:(((in @ X361 @ X359)=>(X360 @ X361))))=>?[X362:$i]:(((in @ X362 @ X359)&~((X360 @ X362))))))=>(![X363:$i > $o]:((?[X364:$i]:(((X363 @ X364)&![X365:$i]:(((X363 @ X365)=>((X364)=(X365))))))=>?[X366:$i]:(((X363 @ X366)&![X367:$i]:(((X363 @ X367)=>((X366)=(X367))))))))=>(![X438:$i > $o]:((?[X439:$i]:((X438 @ X439))=>(![X440:$i, X441:$i]:(((X438 @ X440)=>((X438 @ X441)=>((X440)=(X441)))))=>?[X442:$i]:(((X438 @ X442)&![X443:$i]:(((X438 @ X443)=>((X442)=(X443)))))))))=>(![X368:$i > $o]:((?[X369:$i]:(![X370:$i]:(((X368 @ X370)<=>((X370)=(X369)))))=>?[X371:$i]:(((X368 @ X371)&![X372:$i]:(((X368 @ X372)=>((X371)=(X372))))))))=>(![X434:$i, X435:$i]:((((X434)=(X435))=>![X436:$i, X437:$i]:((((X436)=(X437))=>((in @ X436 @ X434)=>(in @ X437 @ X435))))))=>(![X430:$i, X431:$i]:((((X430)=(X431))=>![X432:$i, X433:$i]:((((X432)=(X433))=>((in @ X432 @ X430)<=>(in @ X433 @ X431))))))=>(![X373:$i > $o]:((?[X374:$i]:(((X373 @ X374)&![X375:$i]:(((X373 @ X375)=>((X374)=(X375))))))=>![X376:$i, X377:$i]:(((X373 @ X376)=>((X373 @ X377)=>((X376)=(X377)))))))=>(![X422:$i > $o, X423:$i > $o]:((![X424:$i, X425:$i]:((((X424)=(X425))=>((X422 @ X424)<=>(X423 @ X425))))=>(?[X426:$i]:(((X422 @ X426)&![X427:$i]:(((X422 @ X427)=>((X426)=(X427))))))<=>?[X428:$i]:(((X423 @ X428)&![X429:$i]:(((X423 @ X429)=>((X428)=(X429)))))))))=>(((emptyset)=(emptyset))=>(![X378:$i, X379:$i]:((((X378)=(X379))=>![X380:$i, X381:$i]:((((X380)=(X381))=>((setadjoin @ X378 @ X380)=(setadjoin @ X379 @ X381))))))=>(![X382:$i, X383:$i]:((((X382)=(X383))=>((powerset @ X382)=(powerset @ X383))))=>(![X420:$i, X421:$i]:((((X420)=(X421))=>((setunion @ X420)=(setunion @ X421))))=>(((omega)=(omega))=>(![X384:$i > $o]:((?[X385:$i]:(((X384 @ X385)&![X386:$i]:(((X384 @ X386)=>((X385)=(X386))))))=>![X387:$i, X388:$i]:(((X384 @ X387)=>((X384 @ X388)=>((X387)=(X388)))))))=>(![X412:$i > $o, X413:$i > $o]:((![X414:$i, X415:$i]:((((X414)=(X415))=>((X412 @ X414)<=>(X413 @ X415))))=>(?[X416:$i]:(((X412 @ X416)&![X417:$i]:(((X412 @ X417)=>((X416)=(X417))))))=>(?[X418:$i]:(((X413 @ X418)&![X419:$i]:(((X413 @ X419)=>((X418)=(X419))))))=>((descr @ X412)=(descr @ X413))))))=>(![X406:$i, X407:$i]:((((X406)=(X407))=>![X408:$i > $o, X409:$i > $o]:((![X410:$i]:(((in @ X410 @ X406)=>![X411:$i]:(((in @ X411 @ X407)=>(((X410)=(X411))=>((X408 @ X410)<=>(X409 @ X411)))))))=>((dsetconstr @ X406 @ X408)=(dsetconstr @ X407 @ X409))))))=>(![X389:$i, X390:$i]:((![X391:$i]:(((in @ X391 @ X389)=>(in @ X391 @ X390)))=>![X392:$i]:(((in @ X392 @ X389)=>(in @ X392 @ X390)))))=>(![X393:$i, X394:$i]:((((X393)=(X394))=>![X395:$i]:(((in @ X395 @ X394)=>(in @ X395 @ X393)))))=>(![X403:$i, X404:$i]:((((X403)=(X404))=>![X405:$i]:(((in @ X405 @ X403)=>(in @ X405 @ X404)))))=>(![X396:$i, X397:$i]:((![X398:$i]:(((in @ X398 @ X396)=>(in @ X398 @ X397)))=>![X399:$i]:(((in @ X399 @ X396)=>(in @ X399 @ X397)))))=>(![X401:$i, X402:$i]:(((in @ X402 @ emptyset)=>(in @ X402 @ X401)))=>![X4:$i, X5:$i, X2:$i]:((![X400:$i]:(((in @ X400 @ X4)=>(in @ X400 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[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)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[subsetE]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_100]), foundationAx]), wellorderingAx]), c_0_101]), c_0_102]), c_0_103]), c_0_104]), c_0_105]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_106]), setext]), emptyI]), noeltsimpempty]), c_0_107]), c_0_108]), c_0_109]), c_0_110]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_111]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_112]), c_0_113]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_114]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_115]), c_0_116]), c_0_117]), inCongP]), in__Cong]), c_0_118]), c_0_119]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_120]), c_0_121]), c_0_122]), c_0_99]), c_0_123]), c_0_124]), c_0_125]), c_0_126]), c_0_127])])]), c_0_128])). 0.20/0.55 thf(c_0_130, negated_conjecture, ![X535:$i, X536:$i, X538:$i, X539:$i, X540:$i, X541:$i, X542:$i, X543:$i, X544:$i, X545:$i, X546:$i, X548:$i, X549:$i, X551:$i, X552:$i, X553:$i, X554:$i, X555:$i, X557:$i, X558:$i > $i > $o, X559:$i, X561:$i, X564:$i, X566:$i, X567:$i, X568:$i, X569:$i, X571:$i, X572:$i > $o, X573:$i, X575:$i, X576:$i > $o, X577:$i, X578:$i, X579:$i > $o, X580:$i, X581:$i, X582:$i > $o, X583:$i, X584:$i > $o, X585:$i, X588:$i, X589:$o, X590:$i, X591:$i, X592:$o, X593:$i, X594:$i, X595:$i > $o, X596:$i, X599:$i, X600:$i, X603:$i, X605:$i, X607:$i, X608:$i > $o, X609:$i, X610:$i, X612:$i, X613:$i > $o, X614:$i, X615:$i, X616:$i, X617:$i, X618:$i, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$o, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$i, X643:$o, X645:$i, X646:$i, X647:$i > $o, X648:$i, X651:$i, X652:$i, X653:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i > $o, X672:$i, X673:$i > $o, X674:$i, X675:$i, X676:$i > $o, X677:$i, X679:$i, X680:$i > $o, X682:$i, X683:$i, X684:$i > $o, X686:$i, X687:$i, X688:$i > $o, X689:$i, X691:$o, X692:$o, X693:$i, X694:$i > $o, X696:$i, X697:$i, X698:$i > $o, X699:$i, X701:$i > $o, X702:$i, X705:$i, X706:$i > $o, X707:$i, X711:$i, X712:$i > $o, X713:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i > $o, X726:$i, X728:$i, X729:$i, X730:$i > $o, X731:$i > $o, X734:$i, X737:$i, X738:$i, X741:$i, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X750:$i > $o, X751:$i, X753:$i, X754:$i, X755:$i > $o, X756:$i > $o, X759:$i, X761:$i, X763:$i, X764:$i, X765:$i > $o, X766:$i > $o, X769:$i, X770:$i, X772:$i, X773:$i, X774:$i, 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@ X731))|~(X731 @ (esk40_2 @ X730 @ X731))))&(~(X730 @ X741)|((esk44_2 @ X730 @ X731)=(X741))|((X731 @ (esk43_3 @ X730 @ X731 @ X738))|~(X731 @ X738))|(~(X730 @ (esk39_2 @ X730 @ X731))|~(X731 @ (esk40_2 @ X730 @ X731)))))&(((X730 @ (esk44_2 @ X730 @ X731))|(((X738)!=(esk43_3 @ X730 @ X731 @ X738))|~(X731 @ X738))|(~(X730 @ (esk39_2 @ X730 @ X731))|~(X731 @ (esk40_2 @ X730 @ X731))))&(~(X730 @ X741)|((esk44_2 @ X730 @ X731)=(X741))|(((X738)!=(esk43_3 @ X730 @ X731 @ X738))|~(X731 @ X738))|(~(X730 @ (esk39_2 @ X730 @ X731))|~(X731 @ (esk40_2 @ X730 @ X731)))))))&(((((X731 @ (esk42_2 @ X730 @ X731))|((X730 @ (esk41_3 @ X730 @ X731 @ X734))|~(X730 @ X734))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731))))&(~(X731 @ X737)|((esk42_2 @ X730 @ X731)=(X737))|((X730 @ (esk41_3 @ X730 @ X731 @ X734))|~(X730 @ X734))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731)))))&(((X731 @ (esk42_2 @ X730 @ X731))|(((X734)!=(esk41_3 @ X730 @ X731 @ X734))|~(X730 @ X734))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731))))&(~(X731 @ X737)|((esk42_2 @ X730 @ X731)=(X737))|(((X734)!=(esk41_3 @ X730 @ X731 @ X734))|~(X730 @ X734))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731))))))&((((X730 @ (esk44_2 @ X730 @ X731))|((X731 @ (esk43_3 @ X730 @ X731 @ X738))|~(X731 @ X738))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731))))&(~(X730 @ X741)|((esk44_2 @ X730 @ X731)=(X741))|((X731 @ (esk43_3 @ X730 @ X731 @ X738))|~(X731 @ X738))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731)))))&(((X730 @ (esk44_2 @ X730 @ X731))|(((X738)!=(esk43_3 @ X730 @ X731 @ X738))|~(X731 @ X738))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731))))&(~(X730 @ X741)|((esk44_2 @ X730 @ X731)=(X741))|(((X738)!=(esk43_3 @ X730 @ X731 @ X738))|~(X731 @ X738))|((X730 @ (esk39_2 @ X730 @ X731))|(X731 @ (esk40_2 @ X730 @ X731)))))))))&(((emptyset)=(emptyset))&((((X742)!=(X743))|(((X744)!=(X745))|((setadjoin @ X742 @ X744)=(setadjoin @ X743 @ X745))))&((((X746)!=(X747))|((powerset @ X746)=(powerset @ X747)))&((((X748)!=(X749))|((setunion @ X748)=(setunion @ X749)))&(((omega)=(omega))&((((X750 @ (esk45_2 @ X750 @ X751))|~(X750 @ X751)|(~(X750 @ X753)|(~(X750 @ X754)|((X753)=(X754)))))&(((X751)!=(esk45_2 @ X750 @ X751))|~(X750 @ X751)|(~(X750 @ X753)|(~(X750 @ X754)|((X753)=(X754))))))&((((((X756 @ (esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|((X755 @ (esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((esk46_2 @ X755 @ X756)=(esk47_2 @ X755 @ X756)))&(((X761)!=(esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|((X755 @ (esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((esk46_2 @ X755 @ X756)=(esk47_2 @ X755 @ X756))))&(((X756 @ (esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|(((X759)!=(esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((esk46_2 @ X755 @ X756)=(esk47_2 @ X755 @ X756)))&(((X761)!=(esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|(((X759)!=(esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((esk46_2 @ X755 @ X756)=(esk47_2 @ X755 @ X756)))))&(((((X756 @ (esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|((X755 @ (esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|(~(X755 @ (esk46_2 @ X755 @ X756))|~(X756 @ (esk47_2 @ X755 @ X756))))&(((X761)!=(esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|((X755 @ (esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|(~(X755 @ (esk46_2 @ X755 @ X756))|~(X756 @ (esk47_2 @ X755 @ X756)))))&(((X756 @ (esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|(((X759)!=(esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|(~(X755 @ (esk46_2 @ X755 @ X756))|~(X756 @ (esk47_2 @ X755 @ X756))))&(((X761)!=(esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|(((X759)!=(esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|(~(X755 @ (esk46_2 @ X755 @ X756))|~(X756 @ (esk47_2 @ X755 @ X756))))))&((((X756 @ (esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|((X755 @ (esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((X755 @ (esk46_2 @ X755 @ X756))|(X756 @ (esk47_2 @ X755 @ X756))))&(((X761)!=(esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|((X755 @ (esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((X755 @ (esk46_2 @ X755 @ X756))|(X756 @ (esk47_2 @ X755 @ X756)))))&(((X756 @ (esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|(((X759)!=(esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((X755 @ (esk46_2 @ X755 @ X756))|(X756 @ (esk47_2 @ X755 @ X756))))&(((X761)!=(esk49_3 @ X755 @ X756 @ X761))|~(X756 @ X761)|((descr @ X755)=(descr @ X756))|(((X759)!=(esk48_3 @ X755 @ X756 @ X759))|~(X755 @ X759))|((X755 @ (esk46_2 @ X755 @ X756))|(X756 @ (esk47_2 @ X755 @ X756))))))))&((((in @ (esk50_4 @ X763 @ X764 @ X765 @ X766) @ X763)|((dsetconstr @ X763 @ X765)=(dsetconstr @ X764 @ X766))|((X763)!=(X764)))&(((in @ (esk51_4 @ X763 @ X764 @ X765 @ X766) @ X764)|((dsetconstr @ X763 @ X765)=(dsetconstr @ X764 @ X766))|((X763)!=(X764)))&((((esk50_4 @ X763 @ X764 @ X765 @ X766)=(esk51_4 @ X763 @ X764 @ X765 @ X766))|((dsetconstr @ X763 @ X765)=(dsetconstr @ X764 @ X766))|((X763)!=(X764)))&((~(X765 @ (esk50_4 @ X763 @ X764 @ X765 @ X766))|~(X766 @ (esk51_4 @ X763 @ X764 @ X765 @ X766))|((dsetconstr @ X763 @ X765)=(dsetconstr @ X764 @ X766))|((X763)!=(X764)))&((X765 @ (esk50_4 @ X763 @ X764 @ X765 @ X766))|(X766 @ (esk51_4 @ X763 @ X764 @ X765 @ X766))|((dsetconstr @ X763 @ X765)=(dsetconstr @ X764 @ X766))|((X763)!=(X764)))))))&((((in @ (esk52_2 @ X769 @ X770) @ X769)|(~(in @ X772 @ X769)|(in @ X772 @ X770)))&(~(in @ (esk52_2 @ X769 @ X770) @ X770)|(~(in @ X772 @ X769)|(in @ X772 @ X770))))&((((X773)!=(X774))|(~(in @ X775 @ X774)|(in @ X775 @ X773)))&((((X776)!=(X777))|(~(in @ X778 @ X776)|(in @ X778 @ X777)))&((((in @ (esk53_2 @ X779 @ X780) @ X779)|(~(in @ X782 @ X779)|(in @ X782 @ X780)))&(~(in @ (esk53_2 @ X779 @ X780) @ X780)|(~(in @ X782 @ X779)|(in @ X782 @ X780))))&((~(in @ X784 @ emptyset)|(in @ X784 @ X783))&((~(in @ X788 @ esk54_0)|(in @ X788 @ esk55_0))&((in @ esk56_0 @ esk54_0)&~(in @ esk56_0 @ esk55_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_129])])])])])])])). 0.20/0.55 thf(c_0_131, negated_conjecture, ~((in @ esk56_0 @ esk55_0)), inference(split_conjunct,[status(thm)],[c_0_130])). 0.20/0.55 thf(c_0_132, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk55_0)|~((in @ X2 @ esk54_0)))), inference(split_conjunct,[status(thm)],[c_0_130])). 0.20/0.55 thf(c_0_133, negated_conjecture, (in @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_130])). 0.20/0.55 thf(c_0_134, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_133])]), ['proof']). 0.20/0.55 # SZS output end CNFRefutation 0.20/0.55 # Parsed axioms : 179 0.20/0.55 # Removed by relevancy pruning/SinE : 0 0.20/0.55 # Initial clauses : 290 0.20/0.55 # Removed in clause preprocessing : 111 0.20/0.55 # Initial clauses in saturation : 179 0.20/0.55 # Processed clauses : 199 0.20/0.55 # ...of these trivial : 3 0.20/0.55 # ...subsumed : 15 0.20/0.55 # ...remaining for further processing : 181 0.20/0.55 # Other redundant clauses eliminated : 10 0.20/0.55 # Clauses deleted for lack of memory : 0 0.20/0.55 # Backward-subsumed : 0 0.20/0.55 # Backward-rewritten : 1 0.20/0.55 # Generated clauses : 11 0.20/0.55 # ...of the previous two non-redundant : 9 0.20/0.55 # ...aggressively subsumed : 0 0.20/0.55 # Contextual simplify-reflections : 0 0.20/0.55 # Paramodulations : 1 0.20/0.55 # Factorizations : 0 0.20/0.55 # NegExts : 0 0.20/0.55 # Equation resolutions : 10 0.20/0.55 # Disequality decompositions : 0 0.20/0.55 # Total rewrite steps : 19 0.20/0.55 # ...of those cached : 12 0.20/0.55 # Propositional unsat checks : 0 0.20/0.55 # Propositional check models : 0 0.20/0.55 # Propositional check unsatisfiable : 0 0.20/0.55 # Propositional clauses : 0 0.20/0.55 # Propositional clauses after purity: 0 0.20/0.55 # Propositional unsat core size : 0 0.20/0.55 # Propositional preprocessing time : 0.000 0.20/0.55 # Propositional encoding time : 0.000 0.20/0.55 # Propositional solver time : 0.000 0.20/0.55 # Success case prop preproc time : 0.000 0.20/0.55 # Success case prop encoding time : 0.000 0.20/0.55 # Success case prop solver time : 0.000 0.20/0.55 # Current number of processed clauses : 11 0.20/0.55 # Positive orientable unit clauses : 7 0.20/0.55 # Positive unorientable unit clauses: 0 0.20/0.55 # Negative unit clauses : 3 0.20/0.55 # Non-unit-clauses : 1 0.20/0.55 # Current number of unprocessed clauses: 148 0.20/0.55 # ...number of literals in the above : 555 0.20/0.55 # Current number of archived formulas : 0 0.20/0.55 # Current number of archived clauses : 160 0.20/0.55 # Clause-clause subsumption calls (NU) : 5735 0.20/0.55 # Rec. Clause-clause subsumption calls : 1519 0.20/0.55 # Non-unit clause-clause subsumptions : 12 0.20/0.55 # Unit Clause-clause subsumption calls : 6 0.20/0.55 # Rewrite failures with RHS unbound : 0 0.20/0.55 # BW rewrite match attempts : 2 0.20/0.55 # BW rewrite match successes : 1 0.20/0.55 # Condensation attempts : 199 0.20/0.55 # Condensation successes : 3 0.20/0.55 # Termbank termtop insertions : 29388 0.20/0.55 # Search garbage collected termcells : 9734 0.20/0.55 0.20/0.55 # ------------------------------------------------- 0.20/0.55 # User time : 0.039 s 0.20/0.55 # System time : 0.008 s 0.20/0.55 # Total time : 0.047 s 0.20/0.55 # Maximum resident set size: 4472 pages 0.20/0.55 0.20/0.55 # ------------------------------------------------- 0.20/0.55 # User time : 0.120 s 0.20/0.55 # System time : 0.022 s 0.20/0.55 # Total time : 0.142 s 0.20/0.55 # Maximum resident set size: 2048 pages 0.20/0.55 % E---3.1 exiting 0.20/0.55 % E exiting 0.20/0.55 EOF