TSTP Solution File: SEU777^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU777^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:30:09 EDT 2024
% Result : Theorem 0.16s 0.57s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU777^1 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 16:30:52 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.39 Running higher-order theorem proving
% 0.16/0.39 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/benchmark/theBenchmark.p
% 0.16/0.57 # Version: 3.1.0-ho
% 0.16/0.57 # Preprocessing class: HSLMSLSSLLLCHFA.
% 0.16/0.57 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.57 # Starting ehoh_best5 with 300s (1) cores
% 0.16/0.57 # Starting almost_fo_3_lam with 300s (1) cores
% 0.16/0.57 # Starting new_bool_5 with 300s (1) cores
% 0.16/0.57 # Starting pre_casc_3 with 300s (1) cores
% 0.16/0.57 # Starting ho_unfolding_8 with 300s (1) cores
% 0.16/0.57 # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.16/0.57 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.57 # Starting new_ho_5 with 300s (1) cores
% 0.16/0.57 # pre_casc_3 with pid 23313 completed with status 0
% 0.16/0.57 # Result found by pre_casc_3
% 0.16/0.57 # Preprocessing class: HSLMSLSSLLLCHFA.
% 0.16/0.57 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.57 # Starting ehoh_best5 with 300s (1) cores
% 0.16/0.57 # Starting almost_fo_3_lam with 300s (1) cores
% 0.16/0.57 # Starting new_bool_5 with 300s (1) cores
% 0.16/0.57 # Starting pre_casc_3 with 300s (1) cores
% 0.16/0.57 # SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.16/0.57 # Search class: HGUSM-FSLM32-MHFMMFBN
% 0.16/0.57 # partial match(2): HGHSM-FSLM32-MHFMMSBN
% 0.16/0.57 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.57 # Starting ho_unfolding_8 with 61s (1) cores
% 0.16/0.57 # ho_unfolding_8 with pid 23319 completed with status 0
% 0.16/0.57 # Result found by ho_unfolding_8
% 0.16/0.57 # Preprocessing class: HSLMSLSSLLLCHFA.
% 0.16/0.57 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.57 # Starting ehoh_best5 with 300s (1) cores
% 0.16/0.57 # Starting almost_fo_3_lam with 300s (1) cores
% 0.16/0.57 # Starting new_bool_5 with 300s (1) cores
% 0.16/0.57 # Starting pre_casc_3 with 300s (1) cores
% 0.16/0.57 # SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.16/0.57 # Search class: HGUSM-FSLM32-MHFMMFBN
% 0.16/0.57 # partial match(2): HGHSM-FSLM32-MHFMMSBN
% 0.16/0.57 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.57 # Starting ho_unfolding_8 with 61s (1) cores
% 0.16/0.57 # Preprocessing time : 0.038 s
% 0.16/0.57 # Presaturation interreduction done
% 0.16/0.57
% 0.16/0.57 # Proof found!
% 0.16/0.57 # SZS status Theorem
% 0.16/0.57 # SZS output start CNFRefutation
% 0.16/0.57 thf(decl_22, type, in: $i > $i > $o).
% 0.16/0.57 thf(decl_24, type, setextAx: $o).
% 0.16/0.57 thf(decl_25, type, emptyset: $i).
% 0.16/0.57 thf(decl_26, type, emptysetAx: $o).
% 0.16/0.57 thf(decl_27, type, setadjoin: $i > $i > $i).
% 0.16/0.57 thf(decl_28, type, setadjoinAx: $o).
% 0.16/0.57 thf(decl_30, type, powersetAx: $o).
% 0.16/0.57 thf(decl_31, type, setunion: $i > $i).
% 0.16/0.57 thf(decl_32, type, setunionAx: $o).
% 0.16/0.57 thf(decl_34, type, omega0Ax: $o).
% 0.16/0.57 thf(decl_35, type, omegaSAx: $o).
% 0.16/0.57 thf(decl_36, type, omegaIndAx: $o).
% 0.16/0.57 thf(decl_37, type, replAx: $o).
% 0.16/0.57 thf(decl_38, type, foundationAx: $o).
% 0.16/0.57 thf(decl_39, type, wellorderingAx: $o).
% 0.16/0.57 thf(decl_41, type, descrp: $o).
% 0.16/0.57 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_43, type, dsetconstrI: $o).
% 0.16/0.57 thf(decl_44, type, dsetconstrEL: $o).
% 0.16/0.57 thf(decl_45, type, dsetconstrER: $o).
% 0.16/0.57 thf(decl_46, type, exuE1: $o).
% 0.16/0.57 thf(decl_48, type, prop2setE: $o).
% 0.16/0.57 thf(decl_49, type, emptysetE: $o).
% 0.16/0.57 thf(decl_50, type, emptysetimpfalse: $o).
% 0.16/0.57 thf(decl_51, type, notinemptyset: $o).
% 0.16/0.57 thf(decl_52, type, exuE3e: $o).
% 0.16/0.57 thf(decl_53, type, setext: $o).
% 0.16/0.57 thf(decl_54, type, emptyI: $o).
% 0.16/0.57 thf(decl_55, type, noeltsimpempty: $o).
% 0.16/0.57 thf(decl_56, type, setbeta: $o).
% 0.16/0.57 thf(decl_58, type, nonemptyE1: $o).
% 0.16/0.57 thf(decl_59, type, nonemptyI: $o).
% 0.16/0.57 thf(decl_60, type, nonemptyI1: $o).
% 0.16/0.57 thf(decl_61, type, setadjoinIL: $o).
% 0.16/0.57 thf(decl_62, type, emptyinunitempty: $o).
% 0.16/0.57 thf(decl_63, type, setadjoinIR: $o).
% 0.16/0.57 thf(decl_64, type, setadjoinE: $o).
% 0.16/0.57 thf(decl_65, type, setadjoinOr: $o).
% 0.16/0.57 thf(decl_66, type, setoftrueEq: $o).
% 0.16/0.57 thf(decl_67, type, powersetI: $o).
% 0.16/0.57 thf(decl_68, type, emptyinPowerset: $o).
% 0.16/0.57 thf(decl_69, type, emptyInPowerset: $o).
% 0.16/0.57 thf(decl_70, type, powersetE: $o).
% 0.16/0.57 thf(decl_71, type, setunionI: $o).
% 0.16/0.57 thf(decl_72, type, setunionE: $o).
% 0.16/0.57 thf(decl_73, type, subPowSU: $o).
% 0.16/0.57 thf(decl_74, type, exuE2: $o).
% 0.16/0.57 thf(decl_75, type, nonemptyImpWitness: $o).
% 0.16/0.57 thf(decl_76, type, uniqinunit: $o).
% 0.16/0.57 thf(decl_77, type, notinsingleton: $o).
% 0.16/0.57 thf(decl_78, type, eqinunit: $o).
% 0.16/0.57 thf(decl_79, type, singletonsswitch: $o).
% 0.16/0.57 thf(decl_80, type, upairsetE: $o).
% 0.16/0.57 thf(decl_81, type, upairsetIL: $o).
% 0.16/0.57 thf(decl_82, type, upairsetIR: $o).
% 0.16/0.57 thf(decl_83, type, emptyE1: $o).
% 0.16/0.57 thf(decl_84, type, vacuousDall: $o).
% 0.16/0.57 thf(decl_85, type, quantDeMorgan1: $o).
% 0.16/0.57 thf(decl_86, type, quantDeMorgan2: $o).
% 0.16/0.57 thf(decl_87, type, quantDeMorgan3: $o).
% 0.16/0.57 thf(decl_88, type, quantDeMorgan4: $o).
% 0.16/0.57 thf(decl_89, type, prop2setI: $o).
% 0.16/0.57 thf(decl_91, type, prop2set2propI: $o).
% 0.16/0.57 thf(decl_92, type, notdexE: $o).
% 0.16/0.57 thf(decl_93, type, notdallE: $o).
% 0.16/0.57 thf(decl_94, type, exuI1: $o).
% 0.16/0.57 thf(decl_95, type, exuI3: $o).
% 0.16/0.57 thf(decl_96, type, exuI2: $o).
% 0.16/0.57 thf(decl_97, type, inCongP: $o).
% 0.16/0.57 thf(decl_98, type, in__Cong: $o).
% 0.16/0.57 thf(decl_99, type, exuE3u: $o).
% 0.16/0.57 thf(decl_100, type, exu__Cong: $o).
% 0.16/0.57 thf(decl_101, type, emptyset__Cong: $o).
% 0.16/0.57 thf(decl_102, type, setadjoin__Cong: $o).
% 0.16/0.57 thf(decl_103, type, powerset__Cong: $o).
% 0.16/0.57 thf(decl_104, type, setunion__Cong: $o).
% 0.16/0.57 thf(decl_105, type, omega__Cong: $o).
% 0.16/0.57 thf(decl_106, type, exuEu: $o).
% 0.16/0.57 thf(decl_107, type, descr__Cong: $o).
% 0.16/0.57 thf(decl_108, type, dsetconstr__Cong: $o).
% 0.16/0.57 thf(decl_109, type, subset: $i > $i > $o).
% 0.16/0.57 thf(decl_112, type, subsetI1: $o).
% 0.16/0.57 thf(decl_113, type, eqimpsubset2: $o).
% 0.16/0.57 thf(decl_114, type, eqimpsubset1: $o).
% 0.16/0.57 thf(decl_115, type, subsetI2: $o).
% 0.16/0.57 thf(decl_116, type, emptysetsubset: $o).
% 0.16/0.57 thf(decl_117, type, subsetE: $o).
% 0.16/0.57 thf(decl_118, type, subsetE2: $o).
% 0.16/0.57 thf(decl_119, type, notsubsetI: $o).
% 0.16/0.57 thf(decl_120, type, notequalI1: $o).
% 0.16/0.57 thf(decl_121, type, notequalI2: $o).
% 0.16/0.57 thf(decl_122, type, subsetRefl: $o).
% 0.16/0.57 thf(decl_123, type, subsetTrans: $o).
% 0.16/0.57 thf(decl_124, type, setadjoinSub: $o).
% 0.16/0.57 thf(decl_125, type, setadjoinSub2: $o).
% 0.16/0.57 thf(decl_126, type, subset2powerset: $o).
% 0.16/0.57 thf(decl_127, type, setextsub: $o).
% 0.16/0.57 thf(decl_128, type, subsetemptysetimpeq: $o).
% 0.16/0.57 thf(decl_129, type, powersetI1: $o).
% 0.16/0.57 thf(decl_130, type, powersetE1: $o).
% 0.16/0.57 thf(decl_131, type, inPowerset: $o).
% 0.16/0.57 thf(decl_132, type, powersetsubset: $o).
% 0.16/0.57 thf(decl_133, type, sepInPowerset: $o).
% 0.16/0.57 thf(decl_134, type, sepSubset: $o).
% 0.16/0.57 thf(decl_136, type, binunionIL: $o).
% 0.16/0.57 thf(decl_137, type, upairset2IR: $o).
% 0.16/0.57 thf(decl_138, type, binunionIR: $o).
% 0.16/0.57 thf(decl_139, type, binunionEcases: $o).
% 0.16/0.57 thf(decl_140, type, binunionE: $o).
% 0.16/0.57 thf(decl_141, type, binunionLsub: $o).
% 0.16/0.57 thf(decl_142, type, binunionRsub: $o).
% 0.16/0.57 thf(decl_144, type, binintersectI: $o).
% 0.16/0.57 thf(decl_145, type, binintersectSubset5: $o).
% 0.16/0.57 thf(decl_146, type, binintersectEL: $o).
% 0.16/0.57 thf(decl_147, type, binintersectLsub: $o).
% 0.16/0.57 thf(decl_148, type, binintersectSubset2: $o).
% 0.16/0.57 thf(decl_149, type, binintersectSubset3: $o).
% 0.16/0.57 thf(decl_150, type, binintersectER: $o).
% 0.16/0.57 thf(decl_151, type, disjointsetsI1: $o).
% 0.16/0.57 thf(decl_152, type, binintersectRsub: $o).
% 0.16/0.57 thf(decl_153, type, binintersectSubset4: $o).
% 0.16/0.57 thf(decl_154, type, binintersectSubset1: $o).
% 0.16/0.57 thf(decl_155, type, bs114d: $o).
% 0.16/0.57 thf(decl_158, type, setminusI: $o).
% 0.16/0.57 thf(decl_159, type, setminusEL: $o).
% 0.16/0.57 thf(decl_160, type, setminusER: $o).
% 0.16/0.57 thf(decl_161, type, setminusSubset2: $o).
% 0.16/0.57 thf(decl_162, type, setminusERneg: $o).
% 0.16/0.57 thf(decl_163, type, setminusELneg: $o).
% 0.16/0.57 thf(decl_164, type, setminusILneg: $o).
% 0.16/0.57 thf(decl_165, type, setminusIRneg: $o).
% 0.16/0.57 thf(decl_166, type, setminusLsub: $o).
% 0.16/0.57 thf(decl_167, type, setminusSubset1: $o).
% 0.16/0.57 thf(decl_169, type, symdiffE: $o).
% 0.16/0.57 thf(decl_170, type, symdiffI1: $o).
% 0.16/0.57 thf(decl_171, type, symdiffI2: $o).
% 0.16/0.57 thf(decl_172, type, symdiffIneg1: $o).
% 0.16/0.57 thf(decl_173, type, symdiffIneg2: $o).
% 0.16/0.57 thf(decl_174, type, iskpair: $i > $o).
% 0.16/0.57 thf(decl_175, type, secondinupair: $o).
% 0.16/0.57 thf(decl_176, type, setukpairIL: $o).
% 0.16/0.57 thf(decl_177, type, setukpairIR: $o).
% 0.16/0.57 thf(decl_178, type, kpairiskpair: $o).
% 0.16/0.57 thf(decl_179, type, kpair: $i > $i > $i).
% 0.16/0.57 thf(decl_180, type, kpairp: $o).
% 0.16/0.57 thf(decl_181, type, cartprod: $i > $i > $i).
% 0.16/0.57 thf(decl_182, type, singletonsubset: $o).
% 0.16/0.57 thf(decl_183, type, singletoninpowerset: $o).
% 0.16/0.57 thf(decl_184, type, singletoninpowunion: $o).
% 0.16/0.57 thf(decl_185, type, upairset2E: $o).
% 0.16/0.57 thf(decl_186, type, upairsubunion: $o).
% 0.16/0.57 thf(decl_187, type, upairinpowunion: $o).
% 0.16/0.57 thf(decl_188, type, ubforcartprodlem1: $o).
% 0.16/0.57 thf(decl_189, type, ubforcartprodlem2: $o).
% 0.16/0.57 thf(decl_190, type, ubforcartprodlem3: $o).
% 0.16/0.57 thf(decl_191, type, cartprodpairin: $o).
% 0.16/0.57 thf(decl_192, type, cartprodmempair1: $o).
% 0.16/0.57 thf(decl_193, type, cartprodmempair: $o).
% 0.16/0.57 thf(decl_194, type, setunionE2: $o).
% 0.16/0.57 thf(decl_195, type, setunionsingleton1: $o).
% 0.16/0.57 thf(decl_196, type, setunionsingleton2: $o).
% 0.16/0.57 thf(decl_197, type, setunionsingleton: $o).
% 0.16/0.57 thf(decl_198, type, singleton: $i > $o).
% 0.16/0.57 thf(decl_199, type, singletonprop: $o).
% 0.16/0.57 thf(decl_201, type, ex1E1: $o).
% 0.16/0.57 thf(decl_202, type, ex1I: $o).
% 0.16/0.57 thf(decl_203, type, ex1I2: $o).
% 0.16/0.57 thf(decl_204, type, singletonsuniq: $o).
% 0.16/0.57 thf(decl_209, type, setukpairinjL1: $o).
% 0.16/0.57 thf(decl_210, type, kfstsingleton: $o).
% 0.16/0.57 thf(decl_211, type, theprop: $o).
% 0.16/0.57 thf(decl_212, type, kfst: $i > $i).
% 0.16/0.57 thf(decl_213, type, kfstpairEq: $o).
% 0.16/0.57 thf(decl_214, type, cartprodfstin: $o).
% 0.16/0.57 thf(decl_215, type, setukpairinjL2: $o).
% 0.16/0.57 thf(decl_216, type, setukpairinjL: $o).
% 0.16/0.57 thf(decl_217, type, setukpairinjR11: $o).
% 0.16/0.57 thf(decl_218, type, setukpairinjR12: $o).
% 0.16/0.57 thf(decl_219, type, setukpairinjR1: $o).
% 0.16/0.57 thf(decl_220, type, upairequniteq: $o).
% 0.16/0.57 thf(decl_221, type, setukpairinjR2: $o).
% 0.16/0.57 thf(decl_222, type, setukpairinjR: $o).
% 0.16/0.57 thf(decl_223, type, ksndsingleton: $o).
% 0.16/0.57 thf(decl_224, type, ksnd: $i > $i).
% 0.16/0.57 thf(decl_225, type, ksndpairEq: $o).
% 0.16/0.57 thf(decl_226, type, kpairsurjEq: $o).
% 0.16/0.57 thf(decl_227, type, cartprodsndin: $o).
% 0.16/0.57 thf(decl_228, type, cartprodpairmemEL: $o).
% 0.16/0.57 thf(decl_229, type, cartprodpairmemER: $o).
% 0.16/0.57 thf(decl_230, type, cartprodmempaircEq: $o).
% 0.16/0.57 thf(decl_231, type, cartprodfstpairEq: $o).
% 0.16/0.57 thf(decl_232, type, cartprodsndpairEq: $o).
% 0.16/0.57 thf(decl_233, type, cartprodpairsurjEq: $o).
% 0.16/0.57 thf(decl_234, type, breln: $i > $i > $i > $o).
% 0.16/0.57 thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.16/0.57 thf(decl_236, type, dpsetconstrI: $o).
% 0.16/0.57 thf(decl_237, type, dpsetconstrSub: $o).
% 0.16/0.57 thf(decl_238, type, setOfPairsIsBReln: $o).
% 0.16/0.57 thf(decl_239, type, dpsetconstrERa: $o).
% 0.16/0.57 thf(decl_240, type, dpsetconstrEL1: $o).
% 0.16/0.57 thf(decl_241, type, dpsetconstrEL2: $o).
% 0.16/0.57 thf(decl_242, type, dpsetconstrER: $o).
% 0.16/0.57 thf(decl_243, type, func: $i > $i > $i > $o).
% 0.16/0.57 thf(decl_245, type, funcImageSingleton: $o).
% 0.16/0.57 thf(decl_246, type, apProp: $o).
% 0.16/0.57 thf(decl_248, type, app: $o).
% 0.16/0.57 thf(decl_249, type, infuncsetfunc: $o).
% 0.16/0.57 thf(decl_250, type, ap2p: $o).
% 0.16/0.57 thf(decl_251, type, funcinfuncset: $o).
% 0.16/0.57 thf(decl_252, type, lamProp: $o).
% 0.16/0.57 thf(decl_254, type, lamp: $o).
% 0.16/0.57 thf(decl_255, type, lam2p: $o).
% 0.16/0.57 thf(decl_256, type, brelnall1: $o).
% 0.16/0.57 thf(decl_257, type, brelnall2: $o).
% 0.16/0.57 thf(decl_258, type, ex1E2: $o).
% 0.16/0.57 thf(decl_259, type, funcGraphProp1: $o).
% 0.16/0.57 thf(decl_260, type, funcGraphProp3: $o).
% 0.16/0.57 thf(decl_261, type, funcGraphProp2: $o).
% 0.16/0.57 thf(decl_262, type, funcextLem: $o).
% 0.16/0.57 thf(decl_263, type, funcGraphProp4: $o).
% 0.16/0.57 thf(decl_264, type, subbreln: $o).
% 0.16/0.57 thf(decl_265, type, eqbreln: $o).
% 0.16/0.57 thf(decl_266, type, funcext: $o).
% 0.16/0.57 thf(decl_267, type, funcext2: $o).
% 0.16/0.57 thf(decl_268, type, ap2apEq1: $o).
% 0.16/0.57 thf(decl_269, type, ap2apEq2: $o).
% 0.16/0.57 thf(decl_270, type, beta1: $o).
% 0.16/0.57 thf(decl_271, type, eta1: $o).
% 0.16/0.57 thf(decl_272, type, lam2lamEq: $o).
% 0.16/0.57 thf(decl_273, type, beta2: $o).
% 0.16/0.57 thf(decl_274, type, eta2: $o).
% 0.16/0.57 thf(decl_275, type, iffalseProp1: $o).
% 0.16/0.57 thf(decl_276, type, iffalseProp2: $o).
% 0.16/0.57 thf(decl_277, type, iftrueProp1: $o).
% 0.16/0.57 thf(decl_278, type, iftrueProp2: $o).
% 0.16/0.57 thf(decl_279, type, ifSingleton: $o).
% 0.16/0.57 thf(decl_281, type, ifp: $o).
% 0.16/0.57 thf(decl_282, type, theeq: $o).
% 0.16/0.57 thf(decl_283, type, iftrue: $o).
% 0.16/0.57 thf(decl_284, type, iffalse: $o).
% 0.16/0.57 thf(decl_285, type, iftrueorfalse: $o).
% 0.16/0.57 thf(decl_286, type, binintersectT_lem: $o).
% 0.16/0.57 thf(decl_287, type, binunionT_lem: $o).
% 0.16/0.57 thf(decl_288, type, powersetT_lem: $o).
% 0.16/0.57 thf(decl_289, type, setminusT_lem: $o).
% 0.16/0.57 thf(decl_290, type, complementT_lem: $o).
% 0.16/0.57 thf(decl_291, type, setextT: $o).
% 0.16/0.57 thf(decl_292, type, subsetTI: $o).
% 0.16/0.57 thf(decl_293, type, powersetTI1: $o).
% 0.16/0.57 thf(decl_294, type, powersetTE1: $o).
% 0.16/0.57 thf(decl_295, type, complementTI1: $o).
% 0.16/0.57 thf(decl_296, type, complementTE1: $o).
% 0.16/0.57 thf(decl_297, type, binintersectTELcontra: $o).
% 0.16/0.57 thf(decl_298, type, binintersectTERcontra: $o).
% 0.16/0.57 thf(decl_299, type, contrasubsetT: $o).
% 0.16/0.57 thf(decl_300, type, contrasubsetT1: $o).
% 0.16/0.57 thf(decl_301, type, contrasubsetT2: $o).
% 0.16/0.57 thf(decl_302, type, contrasubsetT3: $o).
% 0.16/0.57 thf(decl_303, type, doubleComplementI1: $o).
% 0.16/0.57 thf(decl_304, type, doubleComplementE1: $o).
% 0.16/0.57 thf(decl_305, type, doubleComplementSub1: $o).
% 0.16/0.57 thf(decl_306, type, doubleComplementSub2: $o).
% 0.16/0.57 thf(decl_307, type, doubleComplementEq: $o).
% 0.16/0.57 thf(decl_308, type, complementTnotintersectT: $o).
% 0.16/0.57 thf(decl_309, type, complementImpComplementIntersect: $o).
% 0.16/0.57 thf(decl_310, type, complementSubsetComplementIntersect: $o).
% 0.16/0.57 thf(decl_311, type, complementInPowersetComplementIntersect: $o).
% 0.16/0.57 thf(decl_312, type, contraSubsetComplement: $o).
% 0.16/0.57 thf(decl_313, type, complementTcontraSubset: $o).
% 0.16/0.57 thf(decl_314, type, binunionTILcontra: $o).
% 0.16/0.57 thf(decl_315, type, binunionTIRcontra: $o).
% 0.16/0.57 thf(decl_316, type, inIntersectImpInUnion: $o).
% 0.16/0.57 thf(decl_317, type, inIntersectImpInUnion2: $o).
% 0.16/0.57 thf(decl_318, type, inIntersectImpInIntersectUnions: $o).
% 0.16/0.57 thf(decl_319, type, intersectInPowersetIntersectUnions: $o).
% 0.16/0.57 thf(decl_320, type, inComplementUnionImpNotIn1: $o).
% 0.16/0.57 thf(decl_321, type, inComplementUnionImpInComplement1: $o).
% 0.16/0.57 thf(decl_322, type, binunionTE: $o).
% 0.16/0.57 thf(decl_323, type, binunionTEcontra: $o).
% 0.16/0.57 thf(decl_324, type, demorgan2a1: $o).
% 0.16/0.57 thf(decl_325, type, complementUnionInPowersetComplement: $o).
% 0.16/0.57 thf(decl_326, type, demorgan2a2: $o).
% 0.16/0.57 thf(decl_327, type, demorgan1a: $o).
% 0.16/0.57 thf(decl_328, type, demorgan1b: $o).
% 0.16/0.57 thf(decl_329, type, demorgan1: $o).
% 0.16/0.57 thf(decl_330, type, demorgan2a: $o).
% 0.16/0.57 thf(decl_331, type, demorgan2b2: $o).
% 0.16/0.57 thf(decl_332, type, demorgan2b: $o).
% 0.16/0.57 thf(decl_333, type, demorgan2: $o).
% 0.16/0.57 thf(decl_334, type, woz13rule0: $o).
% 0.16/0.57 thf(decl_335, type, woz13rule1: $o).
% 0.16/0.57 thf(decl_336, type, woz13rule2: $o).
% 0.16/0.57 thf(decl_337, type, woz13rule3: $o).
% 0.16/0.57 thf(decl_338, type, woz13rule4: $o).
% 0.16/0.57 thf(decl_339, type, woz1_1: $o).
% 0.16/0.57 thf(decl_340, type, woz1_2: $o).
% 0.16/0.57 thf(decl_341, type, woz1_3: $o).
% 0.16/0.57 thf(decl_342, type, woz1_4: $o).
% 0.16/0.57 thf(decl_343, type, woz1_5: $o).
% 0.16/0.57 thf(decl_344, type, breln1: $i > $i > $o).
% 0.16/0.57 thf(decl_345, type, breln1all2: $o).
% 0.16/0.57 thf(decl_346, type, breln1Set: $i > $i).
% 0.16/0.57 thf(decl_347, type, breln1SetBreln1: $o).
% 0.16/0.57 thf(decl_353, type, reflwellordering: $i > $i > $o).
% 0.16/0.57 thf(decl_354, type, choice2fnsingleton: $o).
% 0.16/0.57 thf(decl_355, type, setOfPairsIsBReln1: $o).
% 0.16/0.57 thf(decl_356, type, breln1all1: $o).
% 0.16/0.57 thf(decl_357, type, subbreln1: $o).
% 0.16/0.57 thf(decl_358, type, eqbreln1: $o).
% 0.16/0.57 thf(decl_359, type, breln1invset: $i > $i > $i).
% 0.16/0.57 thf(decl_360, type, breln1invprop: $o).
% 0.16/0.57 thf(decl_361, type, breln1invI: $o).
% 0.16/0.57 thf(decl_362, type, esk1_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_363, type, esk2_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_364, type, esk3_2: $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_365, type, esk4_2: $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_366, type, esk5_3: $i > $i > ($i > $i) > $i).
% 0.16/0.57 thf(decl_367, type, esk6_4: $i > $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_368, type, esk7_4: $i > $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_369, type, esk8_4: $i > $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_370, type, esk9_4: $i > $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_371, type, esk10_4: $i > $i > $i > $i > $i).
% 0.16/0.57 thf(decl_372, type, esk11_4: $i > $i > $i > $i > $i).
% 0.16/0.57 thf(decl_373, type, esk12_4: $i > $i > $i > $i > $i).
% 0.16/0.57 thf(decl_374, type, esk13_4: $i > $i > $i > $i > $i).
% 0.16/0.57 thf(decl_375, type, esk14_4: $i > $i > $i > $i > $i).
% 0.16/0.57 thf(decl_376, type, esk15_4: $i > $i > $i > $i > $i).
% 0.16/0.57 thf(decl_377, type, esk16_3: $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_378, type, esk17_3: $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_379, type, esk18_3: $i > $i > ($i > $i > $o) > $i).
% 0.16/0.57 thf(decl_380, type, esk19_3: $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_381, type, esk20_3: $i > $i > ($i > $o) > $i).
% 0.16/0.57 thf(decl_382, type, esk21_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_383, type, esk22_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_384, type, esk23_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_385, type, esk24_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_386, type, esk25_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_387, type, esk26_3: $i > $i > $i > $i).
% 0.16/0.57 thf(decl_388, type, esk27_0: $i).
% 0.16/0.57 thf(decl_389, type, esk28_0: $i).
% 0.16/0.57 thf(decl_390, type, esk29_0: $i).
% 0.16/0.57 thf(decl_391, type, esk30_0: $i).
% 0.16/0.57 thf(decl_398, type, epred7_1: $i > $i > $i > $o).
% 0.16/0.57 thf(breln1, axiom, ((breln1)=(^[X4:$i, X33:$i]:((breln @ X4 @ X4 @ X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1)).
% 0.16/0.57 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln)).
% 0.16/0.57 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setOfPairsIsBReln)).
% 0.16/0.57 thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setOfPairsIsBReln1)).
% 0.16/0.57 thf(breln1invprop, axiom, ((breln1invprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invprop)).
% 0.16/0.57 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall1)).
% 0.16/0.57 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lamProp)).
% 0.16/0.57 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrER)).
% 0.16/0.57 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL2)).
% 0.16/0.57 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrEL1)).
% 0.16/0.57 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrERa)).
% 0.16/0.57 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrSub)).
% 0.16/0.57 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrI)).
% 0.16/0.57 thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqbreln1)).
% 0.16/0.57 thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subbreln1)).
% 0.16/0.57 thf(breln1all1, axiom, ((breln1all1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1all1)).
% 0.16/0.57 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifSingleton)).
% 0.16/0.57 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', funcImageSingleton)).
% 0.16/0.57 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndsingleton)).
% 0.16/0.57 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstsingleton)).
% 0.16/0.57 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonprop)).
% 0.16/0.57 thf(choice2fnsingleton, axiom, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:(((X52 @ X2 @ X3)&![X14:$i]:(((in @ X14 @ X5)=>((X52 @ X2 @ X14)=>(in @ (kpair @ X3 @ X14) @ X33))))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', choice2fnsingleton)).
% 0.16/0.57 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqbreln)).
% 0.16/0.57 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subbreln)).
% 0.16/0.57 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', brelnall2)).
% 0.16/0.57 thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1SetBreln1)).
% 0.16/0.57 thf(breln1all2, axiom, ((breln1all2)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1all2)).
% 0.16/0.57 thf(breln1invI, axiom, ((breln1invI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invI)).
% 0.16/0.57 thf(breln1invE, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>((breln1invprop)=>((breln1invI)=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invE)).
% 0.16/0.57 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndpairEq)).
% 0.16/0.57 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ksndpairEq)).
% 0.16/0.57 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstpairEq)).
% 0.16/0.57 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstpairEq)).
% 0.16/0.57 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairsurjEq)).
% 0.16/0.57 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairp)).
% 0.16/0.57 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairiskpair)).
% 0.16/0.57 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theeq)).
% 0.16/0.57 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theprop)).
% 0.16/0.57 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairsurjEq)).
% 0.16/0.57 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemER)).
% 0.16/0.57 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairmemEL)).
% 0.16/0.57 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodsndin)).
% 0.16/0.57 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstin)).
% 0.16/0.57 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair)).
% 0.16/0.57 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair1)).
% 0.16/0.57 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairin)).
% 0.16/0.57 thf(breln1invset, axiom, ((breln1invset)=(^[X4:$i, X33:$i]:(dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((in @ (kpair @ X3 @ X2) @ X33)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invset)).
% 0.16/0.57 thf(c_0_47, plain, ((breln1)=(^[Z0/* 19 */:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(fof_simplification,[status(thm)],[breln1])).
% 0.16/0.57 thf(c_0_48, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 0.16/0.57 thf(c_0_49, plain, ((breln1)=(^[Z0/* 19 */:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(apply_def,[status(thm)],[c_0_47, c_0_48])).
% 0.16/0.57 thf(c_0_50, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 0.16/0.57 thf(c_0_51, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0/* 19 */:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
% 0.16/0.57 thf(c_0_52, axiom, ((breln1invprop)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>((subset @ (breln1invset @ X4 @ X33) @ (cartprod @ X4 @ X4))))))), inference(apply_def,[status(thm)],[breln1invprop, c_0_49])).
% 0.16/0.57 thf(c_0_53, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_48])).
% 0.16/0.57 thf(c_0_54, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
% 0.16/0.57 thf(c_0_55, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 0.16/0.57 thf(c_0_56, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 0.16/0.57 thf(c_0_57, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 0.16/0.57 thf(c_0_58, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 0.16/0.57 thf(c_0_59, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_50, c_0_48])).
% 0.16/0.57 thf(c_0_60, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 0.16/0.57 thf(c_0_61, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 0.16/0.57 thf(c_0_62, axiom, ((eqbreln1)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X4)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35)))))))))), inference(apply_def,[status(thm)],[eqbreln1, c_0_49])).
% 0.16/0.57 thf(c_0_63, axiom, ((subbreln1)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X4)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35)))))))), inference(apply_def,[status(thm)],[subbreln1, c_0_49])).
% 0.16/0.57 thf(c_0_64, axiom, ((breln1all1)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[breln1all1, c_0_49])).
% 0.16/0.57 thf(c_0_65, plain, ((setOfPairsIsBReln1)=(![X4:$i, X53:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X4 @ (^[Z0/* 19 */:$i, Z1:$i]:((X53 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X4)))))), inference(apply_def,[status(thm)],[c_0_51, c_0_49])).
% 0.16/0.57 thf(c_0_66, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X43)&((Z0)=(X2)))|(~((X43))&((Z0)=(X3))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 0.16/0.57 thf(c_0_67, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 0.16/0.57 thf(c_0_68, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 0.16/0.57 thf(c_0_69, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 0.16/0.57 thf(c_0_70, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 0.16/0.57 thf(c_0_71, plain, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 8 */:$i]:(((X52 @ X2 @ Z0)&![X14:$i]:(((in @ X14 @ X5)=>((X52 @ X2 @ X14)=>(in @ (kpair @ Z0 @ X14) @ X33))))))))))))))))), inference(fof_simplification,[status(thm)],[choice2fnsingleton])).
% 0.16/0.57 thf(c_0_72, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35)))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_48])).
% 0.16/0.57 thf(c_0_73, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35)))))))), inference(apply_def,[status(thm)],[subbreln, c_0_48])).
% 0.16/0.57 thf(c_0_74, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_48])).
% 0.16/0.57 thf(c_0_75, axiom, ((breln1SetBreln1)=(![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>((subset @ X33 @ (cartprod @ X4 @ X4))))))), inference(apply_def,[status(thm)],[breln1SetBreln1, c_0_49])).
% 0.16/0.57 thf(c_0_76, axiom, ((breln1all2)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[breln1all2, c_0_49])).
% 0.16/0.57 thf(c_0_77, axiom, ((breln1invI)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))))))))))), inference(apply_def,[status(thm)],[breln1invI, c_0_49])).
% 0.16/0.57 thf(c_0_78, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>(![X226:$i, X227:$i]:((iskpair @ (setadjoin @ (setadjoin @ X226 @ emptyset) @ (setadjoin @ (setadjoin @ X226 @ (setadjoin @ X227 @ emptyset)) @ emptyset))))=>(![X228:$i, X229:$i]:((iskpair @ (kpair @ X228 @ X229)))=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>(![X230:$i, X231:$i, X232:$i]:(((in @ X232 @ X230)=>![X233:$i]:(((in @ X233 @ X231)=>(in @ (kpair @ X232 @ X233) @ (cartprod @ X230 @ X231))))))=>(![X234:$i, X235:$i, X236:$i]:(((in @ X236 @ (cartprod @ X234 @ X235))=>?[X237:$i]:(((in @ X237 @ X234)&?[X238:$i]:(((in @ X238 @ X235)&((X236)=(kpair @ X237 @ X238))))))))=>(![X239:$i, X240:$i, X241:$i]:(((in @ X241 @ (cartprod @ X239 @ X240))=>(iskpair @ X241)))=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>(![X242:$i, X243:$i > $o]:((![X244:$i]:(((in @ X244 @ X242)=>![X245:$i]:(((in @ X245 @ X242)=>((X243 @ X244)=>((X243 @ X245)=>((X244)=(X245))))))))=>(?[X246:$i]:(((in @ X246 @ X242)&(X243 @ X246)))=>(singleton @ (dsetconstr @ X242 @ X243)))))=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>(![X247:$i]:(((iskpair @ X247)=>(singleton @ (dsetconstr @ (setunion @ X247) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X247)))))))=>(![X248:$i]:(((singleton @ X248)=>(in @ (setunion @ X248) @ X248)))=>(![X249:$i, X250:$i]:(((kfst @ (kpair @ X249 @ X250))=(X249)))=>(![X251:$i, X252:$i, X253:$i]:(((in @ X253 @ (cartprod @ X251 @ X252))=>(in @ (kfst @ X253) @ X251)))=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>(![X254:$i]:(((iskpair @ X254)=>(singleton @ (dsetconstr @ (setunion @ X254) @ (^[Z0/* 3 */:$i]:(((X254)=(kpair @ (kfst @ X254) @ Z0))))))))=>(![X255:$i, X256:$i]:(((ksnd @ (kpair @ X255 @ X256))=(X256)))=>(![X257:$i]:(((iskpair @ X257)=>((kpair @ (kfst @ X257) @ (ksnd @ X257))=(X257))))=>(![X258:$i, X259:$i, X260:$i]:(((in @ X260 @ (cartprod @ X258 @ X259))=>(in @ (ksnd @ X260) @ X259)))=>(![X261:$i, X262:$i, X263:$i, X264:$i]:(((in @ (kpair @ X263 @ X264) @ (cartprod @ X261 @ X262))=>(in @ X263 @ X261)))=>(![X265:$i, X266:$i, X267:$i, X268:$i]:(((in @ (kpair @ X267 @ X268) @ (cartprod @ X265 @ X266))=>(in @ X268 @ X266)))=>((cartprodmempaircEq)=>(![X269:$i, X270:$i, X271:$i]:(((in @ X271 @ X269)=>![X272:$i]:(((in @ X272 @ X270)=>((kfst @ (kpair @ X271 @ X272))=(X271))))))=>(![X273:$i, X274:$i, X275:$i]:(((in @ X275 @ X273)=>![X276:$i]:(((in @ X276 @ X274)=>((ksnd @ (kpair @ X275 @ X276))=(X276))))))=>(![X277:$i, X278:$i, X279:$i]:(((in @ X279 @ (cartprod @ X277 @ X278))=>((kpair @ (kfst @ X279) @ (ksnd @ X279))=(X279))))=>(![X280:$i, X281:$i, X282:$i > $i > $o, X283:$i]:(((in @ X283 @ X280)=>![X284:$i]:(((in @ X284 @ X281)=>((X282 @ X283 @ X284)=>(in @ (kpair @ X283 @ X284) @ (dpsetconstr @ X280 @ X281 @ X282)))))))=>(![X285:$i, X286:$i, X287:$i > $i > $o]:((subset @ (dpsetconstr @ X285 @ X286 @ X287) @ (cartprod @ X285 @ X286)))=>(![X288:$i, X289:$i, X290:$i > $i > $o]:((subset @ (dpsetconstr @ X288 @ X289 @ X290) @ (cartprod @ X288 @ X289)))=>(![X291:$i, X292:$i, X293:$i > $i > $o, X294:$i]:(((in @ X294 @ X291)=>![X295:$i]:(((in @ X295 @ X292)=>((in @ (kpair @ X294 @ X295) @ (dpsetconstr @ X291 @ X292 @ X293))=>(X293 @ X294 @ X295))))))=>(![X296:$i, X297:$i, X298:$i > $i > $o, X299:$i, X300:$i]:(((in @ (kpair @ X299 @ X300) @ (dpsetconstr @ X296 @ X297 @ X298))=>(in @ X299 @ X296)))=>(![X301:$i, X302:$i, X303:$i > $i > $o, X304:$i, X305:$i]:(((in @ (kpair @ X304 @ X305) @ (dpsetconstr @ X301 @ X302 @ X303))=>(in @ X305 @ X302)))=>(![X306:$i, X307:$i, X308:$i > $i > $o, X309:$i, X310:$i]:(((in @ (kpair @ X309 @ X310) @ (dpsetconstr @ X306 @ X307 @ X308))=>(X308 @ X309 @ X310)))=>(![X311:$i, X312:$i, X313:$i]:(((func @ X311 @ X312 @ X313)=>![X314:$i]:(((in @ X314 @ X311)=>(singleton @ (dsetconstr @ X312 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X314 @ Z0) @ X313)))))))))=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>(![X315:$i, X316:$i, X317:$i > $i]:((![X318:$i]:(((in @ X318 @ X315)=>(in @ (X317 @ X318) @ X316)))=>(func @ X315 @ X316 @ (dpsetconstr @ X315 @ X316 @ (^[Z0/* 3 */:$i]:($eq @ (X317 @ Z0)))))))=>((lamp)=>((lam2p)=>(![X319:$i, X320:$i, X321:$i]:(((subset @ X321 @ (cartprod @ X319 @ X320))=>![X322:$i > $o]:((![X323:$i]:(((in @ X323 @ X319)=>![X324:$i]:(((in @ X324 @ X320)=>((in @ (kpair @ X323 @ X324) @ X321)=>(X322 @ (kpair @ X323 @ X324)))))))=>![X325:$i]:(((in @ X325 @ X321)=>(X322 @ X325)))))))=>(![X326:$i, X327:$i, X328:$i]:(((subset @ X328 @ (cartprod @ X326 @ X327))=>![X329:$i > $o]:((![X330:$i]:(((in @ X330 @ X326)=>![X331:$i]:(((in @ X331 @ X327)=>((in @ (kpair @ X330 @ X331) @ X328)=>(X329 @ (kpair @ X330 @ X331)))))))=>![X332:$i]:(((in @ X332 @ X328)=>(X329 @ X332)))))))=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>(![X333:$i, X334:$i, X335:$i]:(((subset @ X335 @ (cartprod @ X333 @ X334))=>![X336:$i]:(((subset @ X336 @ (cartprod @ X333 @ X334))=>(![X337:$i]:(((in @ X337 @ X333)=>![X338:$i]:(((in @ X338 @ X334)=>((in @ (kpair @ X337 @ X338) @ X335)=>(in @ (kpair @ X337 @ X338) @ X336))))))=>(subset @ X335 @ X336))))))=>(![X339:$i, X340:$i, X341:$i]:(((subset @ X341 @ (cartprod @ X339 @ X340))=>![X342:$i]:(((subset @ X342 @ (cartprod @ X339 @ X340))=>(![X343:$i]:(((in @ X343 @ X339)=>![X344:$i]:(((in @ X344 @ X340)=>((in @ (kpair @ X343 @ X344) @ X341)=>(in @ (kpair @ X343 @ X344) @ X342))))))=>(![X345:$i]:(((in @ X345 @ X339)=>![X346:$i]:(((in @ X346 @ X340)=>((in @ (kpair @ X345 @ X346) @ X342)=>(in @ (kpair @ X345 @ X346) @ X341))))))=>((X341)=(X342))))))))=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>(![X347:$i, X348:$o, X349:$i]:(((in @ X349 @ X347)=>![X350:$i]:(((in @ X350 @ X347)=>(singleton @ (dsetconstr @ X347 @ (^[Z0/* 9 */:$i]:((((X348)&((Z0)=(X349)))|(~((X348))&((Z0)=(X350))))))))))))=>((ifp)=>(![X351:$i]:(((singleton @ X351)=>![X352:$i]:(((in @ X352 @ X351)=>((setunion @ X351)=(X352))))))=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>(![X353:$i, X354:$i]:(((subset @ X354 @ (cartprod @ X353 @ X353))=>![X355:$i > $o]:((![X356:$i]:(((in @ X356 @ X353)=>![X357:$i]:(((in @ X357 @ X353)=>((in @ (kpair @ X356 @ X357) @ X354)=>(X355 @ (kpair @ X356 @ X357)))))))=>![X358:$i]:(((in @ X358 @ X354)=>(X355 @ X358)))))))=>(![X359:$i, X360:$i]:(((in @ X360 @ (breln1Set @ X359))=>(subset @ X360 @ (cartprod @ X359 @ X359))))=>(![X361:$i, X362:$i, X363:$i > $i > $o]:((![X364:$i]:(((in @ X364 @ X361)=>?[X365:$i]:(((in @ X365 @ X362)&(X363 @ X364 @ X365)))))=>![X366:$i]:(((in @ X366 @ (breln1Set @ X362))=>((reflwellordering @ X362 @ X366)=>![X367:$i]:(((in @ X367 @ X361)=>(singleton @ (dsetconstr @ X362 @ (^[Z0/* 8 */:$i]:((X363 @ X367 @ Z0&![X368:$i]:(((in @ X368 @ X362)=>(X363 @ X367 @ X368=>(in @ (kpair @ Z0 @ X368) @ X366))))))))))))))))=>(![X369:$i, X370:$i > $i > $o]:((subset @ (dpsetconstr @ X369 @ X369 @ X370) @ (cartprod @ X369 @ X369)))=>(![X371:$i, X372:$i]:(((subset @ X372 @ (cartprod @ X371 @ X371))=>![X373:$i > $o]:((![X374:$i]:(((in @ X374 @ X371)=>![X375:$i]:(((in @ X375 @ X371)=>((in @ (kpair @ X374 @ X375) @ X372)=>(X373 @ (kpair @ X374 @ X375)))))))=>![X376:$i]:(((in @ X376 @ X372)=>(X373 @ X376)))))))=>(![X377:$i, X378:$i]:(((subset @ X378 @ (cartprod @ X377 @ X377))=>![X379:$i]:(((subset @ X379 @ (cartprod @ X377 @ X377))=>(![X380:$i]:(((in @ X380 @ X377)=>![X381:$i]:(((in @ X381 @ X377)=>((in @ (kpair @ X380 @ X381) @ X378)=>(in @ (kpair @ X380 @ X381) @ X379))))))=>(subset @ X378 @ X379))))))=>(![X382:$i, X383:$i]:(((subset @ X383 @ (cartprod @ X382 @ X382))=>![X384:$i]:(((subset @ X384 @ (cartprod @ X382 @ X382))=>(![X385:$i]:(((in @ X385 @ X382)=>![X386:$i]:(((in @ X386 @ X382)=>((in @ (kpair @ X385 @ X386) @ X383)=>(in @ (kpair @ X385 @ X386) @ X384))))))=>(![X387:$i]:(((in @ X387 @ X382)=>![X388:$i]:(((in @ X388 @ X382)=>((in @ (kpair @ X387 @ X388) @ X384)=>(in @ (kpair @ X387 @ X388) @ X383))))))=>((X383)=(X384))))))))=>(![X389:$i, X390:$i]:(((subset @ X390 @ (cartprod @ X389 @ X389))=>(subset @ (breln1invset @ X389 @ X390) @ (cartprod @ X389 @ X389))))=>(![X391:$i, X392:$i]:(((subset @ X392 @ (cartprod @ X391 @ X391))=>![X393:$i]:(((in @ X393 @ X391)=>![X394:$i]:(((in @ X394 @ X391)=>((in @ (kpair @ X393 @ X394) @ X392)=>(in @ (kpair @ X394 @ X393) @ (breln1invset @ X391 @ X392)))))))))=>![X4:$i, X33:$i]:(((subset @ X33 @ (cartprod @ X4 @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[breln1invE]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), cartprodsndpairEq]), ksndpairEq]), cartprodfstpairEq]), kfstpairEq]), kpairsurjEq]), kpairp]), kpairiskpair]), theeq]), c_0_66]), c_0_67]), c_0_68]), theprop]), c_0_69]), c_0_70]), cartprodpairsurjEq]), cartprodpairmemER]), cartprodpairmemEL]), cartprodsndin]), cartprodfstin]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_49]), c_0_77])])).
% 0.16/0.57 thf(c_0_79, plain, ![X395:$i, X396:$i]:(((breln1invset @ X395 @ X396)=(dpsetconstr @ X395 @ X395 @ (^[Z0/* 19 */:$i, Z1:$i]:((in @ (kpair @ Z1 @ Z0) @ X396)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[breln1invset])])).
% 0.16/0.57 thf(c_0_80, negated_conjecture, ![X397:$i, X398:$i, X399:$i, X400:$i, X401:$i, X402:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X410:$i, X411:$i, X412:$i, X413:$i, X414:$i > $o, X417:$i, X418:$i, X419:$i, X420:$i, X421:$i, X422:$i, X423:$i, X424:$i, X425:$i, X426:$i, X427:$i, X428:$i, X429:$i, X430:$i, X431:$i, X432:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i, X448:$i, X449:$i, X450:$i, X451:$i, X452:$i, X453:$i > $i > $o, X454:$i, X455:$i, X456:$i, X457:$i, X458:$i > $i > $o, X459:$i, X460:$i, X461:$i > $i > $o, X462:$i, X463:$i, X464:$i > $i > $o, X465:$i, X466:$i, X467:$i, X468:$i, X469:$i > $i > $o, X470:$i, X471:$i, X472:$i, X473:$i, X474:$i > $i > $o, X475:$i, X476:$i, X477:$i, X478:$i, X479:$i > $i > $o, X480:$i, X481:$i, X482:$i, X483:$i, X484:$i, X485:$i, X486:$i, X487:$i, X488:$i > $i, X490:$i, X491:$i, X492:$i, X493:$i > $o, X496:$i, X497:$i, X498:$i, X499:$i, X500:$i > $o, X503:$i, X504:$i, X505:$i, X506:$i, X507:$i, X510:$i, X511:$i, X512:$i, X513:$i, X518:$i, X519:$o, X520:$i, X521:$i, X522:$i, X523:$i, X524:$i, X525:$i, X526:$i > $o, X529:$i, X530:$i, X531:$i, X532:$i, X533:$i, X534:$i > $i > $o, X536:$i, X537:$i, X538:$i, X539:$i, X540:$i > $i > $o, X541:$i, X542:$i, X543:$i > $o, X546:$i, X547:$i, X548:$i, X549:$i, X552:$i, X553:$i, X554:$i, X559:$i, X560:$i, X561:$i, X562:$i, X563:$i, 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@ (setadjoin @ (setadjoin @ X397 @ emptyset) @ (setadjoin @ (setadjoin @ X397 @ (setadjoin @ X398 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X399 @ X400))&((singletonsubset)&((singletoninpowerset)&((singletoninpowunion)&((upairset2E)&((upairsubunion)&((upairinpowunion)&((ubforcartprodlem1)&((ubforcartprodlem2)&((ubforcartprodlem3)&((~(in @ X403 @ X401)|(~(in @ X404 @ X402)|(in @ (kpair @ X403 @ X404) @ (cartprod @ X401 @ X402))))&((((in @ (esk1_3 @ X405 @ X406 @ X407) @ X405)|~(in @ X407 @ (cartprod @ X405 @ X406)))&(((in @ (esk2_3 @ X405 @ X406 @ X407) @ X406)|~(in @ X407 @ (cartprod @ X405 @ X406)))&(((X407)=(kpair @ (esk1_3 @ X405 @ X406 @ X407) @ (esk2_3 @ X405 @ X406 @ X407)))|~(in @ X407 @ (cartprod @ X405 @ X406)))))&((~(in @ X412 @ (cartprod @ X410 @ X411))|(iskpair @ X412))&((setunionE2)&((setunionsingleton1)&((setunionsingleton2)&((setunionsingleton)&((((in @ (esk3_2 @ X413 @ X414) @ X413)|(~(in @ X417 @ X413)|~(X414 @ X417)|(singleton @ (dsetconstr @ X413 @ 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(dpsetconstr @ X451 @ X452 @ X453)))))&((subset @ (dpsetconstr @ X456 @ X457 @ X458) @ (cartprod @ X456 @ X457))&((subset @ (dpsetconstr @ X459 @ X460 @ X461) @ (cartprod @ X459 @ X460))&((~(in @ X465 @ X462)|(~(in @ X466 @ X463)|(~(in @ (kpair @ X465 @ X466) @ (dpsetconstr @ X462 @ X463 @ X464))|(X464 @ X465 @ X466))))&((~(in @ (kpair @ X470 @ X471) @ (dpsetconstr @ X467 @ X468 @ X469))|(in @ X470 @ X467))&((~(in @ (kpair @ X475 @ X476) @ (dpsetconstr @ X472 @ X473 @ X474))|(in @ X476 @ X473))&((~(in @ (kpair @ X480 @ X481) @ (dpsetconstr @ X477 @ X478 @ X479))|(X479 @ X480 @ X481))&((~(func @ X482 @ X483 @ X484)|(~(in @ X485 @ X482)|(singleton @ (dsetconstr @ X483 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X485 @ Z0) @ X484)))))))&((apProp)&((app)&((infuncsetfunc)&((ap2p)&((funcinfuncset)&((((in @ (esk5_3 @ X486 @ X487 @ X488) @ X486)|(func @ X486 @ X487 @ (dpsetconstr @ X486 @ X487 @ (^[Z0/* 3 */:$i]:($eq @ (X488 @ Z0))))))&(~(in @ (X488 @ (esk5_3 @ X486 @ X487 @ X488)) @ X487)|(func @ X486 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@ (esk16_3 @ X524 @ X525 @ X526) @ X524)|(~(in @ X529 @ X525)|(X526 @ X529))|~(subset @ X525 @ (cartprod @ X524 @ X524)))&(((in @ (esk17_3 @ X524 @ X525 @ X526) @ X524)|(~(in @ X529 @ X525)|(X526 @ X529))|~(subset @ X525 @ (cartprod @ X524 @ X524)))&(((in @ (kpair @ (esk16_3 @ X524 @ X525 @ X526) @ (esk17_3 @ X524 @ X525 @ X526)) @ X525)|(~(in @ X529 @ X525)|(X526 @ X529))|~(subset @ X525 @ (cartprod @ X524 @ X524)))&(~(X526 @ (kpair @ (esk16_3 @ X524 @ X525 @ X526) @ (esk17_3 @ X524 @ X525 @ X526)))|(~(in @ X529 @ X525)|(X526 @ X529))|~(subset @ X525 @ (cartprod @ X524 @ X524))))))&((~(in @ X531 @ (breln1Set @ X530))|(subset @ X531 @ (cartprod @ X530 @ X530)))&((((in @ (esk18_3 @ X532 @ X533 @ X534) @ X532)|(~(in @ X537 @ (breln1Set @ X533))|(~(reflwellordering @ X533 @ X537)|(~(in @ X538 @ X532)|(singleton @ (dsetconstr @ X533 @ (^[Z0/* 8 */:$i]:((X534 @ X538 @ Z0&![X368:$i]:(((in @ X368 @ X533)=>(X534 @ X538 @ X368=>(in @ (kpair @ Z0 @ X368) @ X537)))))))))))))&(~(in @ X536 @ X533)|~(X534 @ (esk18_3 @ X532 @ X533 @ X534) @ X536)|(~(in @ X537 @ (breln1Set @ X533))|(~(reflwellordering @ X533 @ X537)|(~(in @ X538 @ X532)|(singleton @ (dsetconstr @ X533 @ (^[Z0/* 8 */:$i]:((X534 @ X538 @ Z0&![X368:$i]:(((in @ X368 @ X533)=>(X534 @ X538 @ X368=>(in @ (kpair @ Z0 @ X368) @ X537))))))))))))))&((subset @ (dpsetconstr @ X539 @ X539 @ X540) @ (cartprod @ X539 @ X539))&((((in @ (esk19_3 @ X541 @ X542 @ X543) @ X541)|(~(in @ X546 @ X542)|(X543 @ X546))|~(subset @ X542 @ (cartprod @ X541 @ X541)))&(((in @ (esk20_3 @ X541 @ X542 @ X543) @ X541)|(~(in @ X546 @ X542)|(X543 @ X546))|~(subset @ X542 @ (cartprod @ X541 @ X541)))&(((in @ (kpair @ (esk19_3 @ X541 @ X542 @ X543) @ (esk20_3 @ X541 @ X542 @ X543)) @ X542)|(~(in @ X546 @ X542)|(X543 @ X546))|~(subset @ X542 @ (cartprod @ X541 @ X541)))&(~(X543 @ (kpair @ (esk19_3 @ X541 @ X542 @ X543) @ (esk20_3 @ X541 @ X542 @ X543)))|(~(in @ X546 @ X542)|(X543 @ X546))|~(subset @ X542 @ (cartprod @ X541 @ X541))))))&((((in @ (esk21_3 @ X547 @ X548 @ X549) @ X547)|(subset @ X548 @ X549)|~(subset @ X549 @ (cartprod @ X547 @ X547))|~(subset @ X548 @ (cartprod @ X547 @ X547)))&(((in @ (esk22_3 @ X547 @ X548 @ X549) @ X547)|(subset @ X548 @ X549)|~(subset @ X549 @ (cartprod @ X547 @ X547))|~(subset @ X548 @ (cartprod @ X547 @ X547)))&(((in @ (kpair @ (esk21_3 @ X547 @ X548 @ X549) @ (esk22_3 @ X547 @ X548 @ X549)) @ X548)|(subset @ X548 @ X549)|~(subset @ X549 @ (cartprod @ X547 @ X547))|~(subset @ X548 @ (cartprod @ X547 @ X547)))&(~(in @ (kpair @ (esk21_3 @ X547 @ X548 @ X549) @ (esk22_3 @ X547 @ X548 @ X549)) @ X549)|(subset @ X548 @ X549)|~(subset @ X549 @ (cartprod @ X547 @ X547))|~(subset @ X548 @ (cartprod @ X547 @ X547))))))&(((((in @ (esk25_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|(in @ (esk23_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (esk26_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|(in @ (esk23_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X554)|((X553)=(X554))|(in @ (esk23_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(~(in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X553)|((X553)=(X554))|(in @ (esk23_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552))))))&((((in @ (esk25_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|(in @ (esk24_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (esk26_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|(in @ (esk24_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X554)|((X553)=(X554))|(in @ (esk24_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(~(in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X553)|((X553)=(X554))|(in @ (esk24_3 @ X552 @ X553 @ X554) @ X552)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552))))))&((((in @ (esk25_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X553)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (esk26_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X553)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X554)|((X553)=(X554))|(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X553)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(~(in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X553)|((X553)=(X554))|(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X553)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552))))))&(((in @ (esk25_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|~(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X554)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (esk26_3 @ X552 @ X553 @ X554) @ X552)|((X553)=(X554))|~(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X554)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(((in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X554)|((X553)=(X554))|~(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X554)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))&(~(in @ (kpair @ (esk25_3 @ X552 @ X553 @ X554) @ (esk26_3 @ X552 @ X553 @ X554)) @ X553)|((X553)=(X554))|~(in @ (kpair @ (esk23_3 @ X552 @ X553 @ X554) @ (esk24_3 @ X552 @ X553 @ X554)) @ X554)|~(subset @ X554 @ (cartprod @ X552 @ X552))|~(subset @ X553 @ (cartprod @ X552 @ X552)))))))))&((~(subset @ X560 @ (cartprod @ X559 @ X559))|(subset @ (breln1invset @ X559 @ X560) @ (cartprod @ X559 @ X559)))&((~(subset @ X562 @ (cartprod @ X561 @ X561))|(~(in @ X563 @ X561)|(~(in @ X564 @ X561)|(~(in @ (kpair @ X563 @ X564) @ X562)|(in @ (kpair @ X564 @ X563) @ (breln1invset @ X561 @ X562))))))&((subset @ esk28_0 @ (cartprod @ esk27_0 @ esk27_0))&((in @ esk29_0 @ esk27_0)&((in @ esk30_0 @ esk27_0)&((in @ (kpair @ esk30_0 @ esk29_0) @ (breln1invset @ esk27_0 @ esk28_0))&~(in @ (kpair @ esk29_0 @ esk30_0) @ esk28_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(fof_nnf,[status(thm)],[c_0_78])])])])])])).
% 0.16/0.57 thf(c_0_81, plain, ![X569:$i, X570:$i]:(((breln1invset @ X569 @ X570)=(dpsetconstr @ X569 @ X569 @ (^[Z0/* 19 */:$i, Z1:$i]:((in @ (kpair @ Z1 @ Z0) @ X570)))))), inference(variable_rename,[status(thm)],[c_0_79])).
% 0.16/0.57 thf(c_0_82, plain, ![X582:$i, X581:$i, X3:$i]:(((epred7_1 @ X3 @ X581 @ X582)<=>(in @ (kpair @ X582 @ X581) @ X3))), introduced(definition)).
% 0.16/0.57 thf(c_0_83, negated_conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i, X6:$i > $i > $o]:(((X6 @ X2 @ X3)|~((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ X6))))), inference(split_conjunct,[status(thm)],[c_0_80])).
% 0.16/0.57 thf(c_0_84, plain, ![X2:$i, X3:$i]:(((breln1invset @ X2 @ X3)=(dpsetconstr @ X2 @ X2 @ (epred7_1 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_81]), c_0_82])).
% 0.16/0.57 thf(c_0_85, plain, ![X583:$i, X584:$i, X585:$i]:(((~(epred7_1 @ X585 @ X584 @ X583)|(in @ (kpair @ X583 @ X584) @ X585))&(~(in @ (kpair @ X583 @ X584) @ X585)|(epred7_1 @ X585 @ X584 @ X583)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])).
% 0.16/0.57 thf(c_0_86, negated_conjecture, ![X3:$i, X5:$i, X4:$i, X2:$i]:(((epred7_1 @ X2 @ X3 @ X4)|~((in @ (kpair @ X3 @ X4) @ (breln1invset @ X5 @ X2))))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
% 0.16/0.57 thf(c_0_87, negated_conjecture, (in @ (kpair @ esk30_0 @ esk29_0) @ (breln1invset @ esk27_0 @ esk28_0)), inference(split_conjunct,[status(thm)],[c_0_80])).
% 0.16/0.57 thf(c_0_88, plain, ![X2:$i, X3:$i, X4:$i]:(((in @ (kpair @ X4 @ X3) @ X2)|~((epred7_1 @ X2 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_85])).
% 0.16/0.57 thf(c_0_89, negated_conjecture, (epred7_1 @ esk28_0 @ esk30_0 @ esk29_0), inference(spm,[status(thm)],[c_0_86, c_0_87])).
% 0.16/0.57 thf(c_0_90, negated_conjecture, ~((in @ (kpair @ esk29_0 @ esk30_0) @ esk28_0)), inference(split_conjunct,[status(thm)],[c_0_80])).
% 0.16/0.57 thf(c_0_91, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90]), ['proof']).
% 0.16/0.57 # SZS output end CNFRefutation
% 0.16/0.57 # Parsed axioms : 639
% 0.16/0.57 # Removed by relevancy pruning/SinE : 592
% 0.16/0.57 # Initial clauses : 375
% 0.16/0.57 # Removed in clause preprocessing : 1
% 0.16/0.57 # Initial clauses in saturation : 374
% 0.16/0.57 # Processed clauses : 770
% 0.16/0.57 # ...of these trivial : 4
% 0.16/0.57 # ...subsumed : 4
% 0.16/0.57 # ...remaining for further processing : 762
% 0.16/0.57 # Other redundant clauses eliminated : 7
% 0.16/0.57 # Clauses deleted for lack of memory : 0
% 0.16/0.57 # Backward-subsumed : 0
% 0.16/0.57 # Backward-rewritten : 0
% 0.16/0.57 # Generated clauses : 1049
% 0.16/0.57 # ...of the previous two non-redundant : 999
% 0.16/0.57 # ...aggressively subsumed : 0
% 0.16/0.57 # Contextual simplify-reflections : 0
% 0.16/0.57 # Paramodulations : 1037
% 0.16/0.57 # Factorizations : 0
% 0.16/0.57 # NegExts : 0
% 0.16/0.57 # Equation resolutions : 7
% 0.16/0.57 # Disequality decompositions : 0
% 0.16/0.57 # Total rewrite steps : 115
% 0.16/0.57 # ...of those cached : 70
% 0.16/0.57 # Propositional unsat checks : 0
% 0.16/0.57 # Propositional check models : 0
% 0.16/0.57 # Propositional check unsatisfiable : 0
% 0.16/0.57 # Propositional clauses : 0
% 0.16/0.57 # Propositional clauses after purity: 0
% 0.16/0.57 # Propositional unsat core size : 0
% 0.16/0.57 # Propositional preprocessing time : 0.000
% 0.16/0.57 # Propositional encoding time : 0.000
% 0.16/0.57 # Propositional solver time : 0.000
% 0.16/0.57 # Success case prop preproc time : 0.000
% 0.16/0.57 # Success case prop encoding time : 0.000
% 0.16/0.57 # Success case prop solver time : 0.000
% 0.16/0.57 # Current number of processed clauses : 390
% 0.16/0.57 # Positive orientable unit clauses : 265
% 0.16/0.57 # Positive unorientable unit clauses: 0
% 0.16/0.57 # Negative unit clauses : 1
% 0.16/0.57 # Non-unit-clauses : 124
% 0.16/0.57 # Current number of unprocessed clauses: 972
% 0.16/0.57 # ...number of literals in the above : 5224
% 0.16/0.57 # Current number of archived formulas : 0
% 0.16/0.57 # Current number of archived clauses : 370
% 0.16/0.57 # Clause-clause subsumption calls (NU) : 5185
% 0.16/0.57 # Rec. Clause-clause subsumption calls : 898
% 0.16/0.57 # Non-unit clause-clause subsumptions : 4
% 0.16/0.57 # Unit Clause-clause subsumption calls : 2175
% 0.16/0.57 # Rewrite failures with RHS unbound : 0
% 0.16/0.57 # BW rewrite match attempts : 11
% 0.16/0.57 # BW rewrite match successes : 0
% 0.16/0.57 # Condensation attempts : 0
% 0.16/0.57 # Condensation successes : 0
% 0.16/0.57 # Termbank termtop insertions : 53637
% 0.16/0.57 # Search garbage collected termcells : 11938
% 0.16/0.57
% 0.16/0.57 # -------------------------------------------------
% 0.16/0.57 # User time : 0.120 s
% 0.16/0.57 # System time : 0.011 s
% 0.16/0.57 # Total time : 0.131 s
% 0.16/0.57 # Maximum resident set size: 5436 pages
% 0.16/0.57
% 0.16/0.57 # -------------------------------------------------
% 0.16/0.57 # User time : 0.130 s
% 0.16/0.57 # System time : 0.013 s
% 0.16/0.57 # Total time : 0.143 s
% 0.16/0.57 # Maximum resident set size: 2480 pages
% 0.16/0.57 % E---3.1 exiting
% 0.16/0.57 % E exiting
%------------------------------------------------------------------------------