0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : vampire_hol --schedule thf_2019 --mode portfolio --time_limit %ds %s
0.12/0.33	% Computer   : n023.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 14:57:52 EDT 2019
0.12/0.33	% CPUTime    : 
0.18/0.41	% lrs-3_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark
1.54/1.71	% Time limit reached!
1.54/1.71	% ------------------------------
1.54/1.71	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
1.54/1.71	% Termination reason: Time limit
1.54/1.71	% Termination phase: Saturation
1.54/1.71	
1.54/1.71	% Memory used [KB]: 44519
1.54/1.71	% Time elapsed: 1.300 s
1.54/1.71	% ------------------------------
1.54/1.71	% ------------------------------
1.54/1.77	% lrs+1011_5:4_anc=none:bsr=on:ccuc=small_ones:irw=on:stl=300d:fde=unused:holscev=on:sp=reverse_arity:sos=on:foolp=on:acc=on:afp=10000:gs=on:nwc=1.2:holcelim=on:updr=off:sac=on:afea=on:newcnf=on:gsem=off:cond=on:add=large:en=on:combelim=inference_rules:gsaa=from_current:amm=off:nm=2:afq=2:cunif=on_38 on theBenchmark
5.62/5.77	% Time limit reached!
5.62/5.77	% ------------------------------
5.62/5.77	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
5.62/5.77	% Termination reason: Time limit
5.62/5.77	% Termination phase: Saturation
5.62/5.77	
5.62/5.77	% Memory used [KB]: 80723
5.62/5.77	% Time elapsed: 4.0000 s
5.62/5.77	% ------------------------------
5.62/5.77	% ------------------------------
5.71/5.84	% ott+11_16_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_16 on theBenchmark
7.55/7.63	% Time limit reached!
7.55/7.63	% ------------------------------
7.55/7.63	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
7.55/7.63	% Termination reason: Time limit
7.55/7.63	% Termination phase: Saturation
7.55/7.63	
7.55/7.63	% Memory used [KB]: 35692
7.55/7.63	% Time elapsed: 1.800 s
7.55/7.63	% ------------------------------
7.55/7.63	% ------------------------------
7.55/7.66	% lrs+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=40000:nwc=2.5:holcelim=on:flr=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=both:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark
8.08/8.16	% Time limit reached!
8.08/8.16	% ------------------------------
8.08/8.16	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
8.08/8.16	% Termination reason: Time limit
8.08/8.16	% Termination phase: Saturation
8.08/8.16	
8.08/8.16	% Memory used [KB]: 23539
8.08/8.16	% Time elapsed: 0.500 s
8.08/8.16	% ------------------------------
8.08/8.16	% ------------------------------
8.08/8.19	% ott+11_16_sas=z3:irw=on:e2e=off:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:gs=on:nwc=1.3:holcelim=on:afea=on:newcnf=on:gsem=on:en=on:combelim=inference_rules:nm=64:av=off_16 on theBenchmark
9.96/9.99	% Time limit reached!
9.96/9.99	% ------------------------------
9.96/9.99	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
9.96/9.99	% Termination reason: Time limit
9.96/9.99	% Termination phase: Saturation
9.96/9.99	
9.96/9.99	% Memory used [KB]: 40169
9.96/9.99	% Time elapsed: 1.800 s
9.96/9.99	% ------------------------------
9.96/9.99	% ------------------------------
9.98/10.02	% lrs+1011_7_anc=none:stl=300d:holscev=on:foolp=on:lma=on:afp=4000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:combelim=inference_rules:amm=off:bd=off:nm=4:fsr=off:csl=3:afq=1.4:afr=on:er=known_2 on theBenchmark
10.48/10.52	% Time limit reached!
10.48/10.52	% ------------------------------
10.48/10.52	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
10.48/10.52	% Termination reason: Time limit
10.48/10.52	% Termination phase: Saturation
10.48/10.52	
10.48/10.52	% Memory used [KB]: 28400
10.48/10.52	% Time elapsed: 0.500 s
10.48/10.52	% ------------------------------
10.48/10.52	% ------------------------------
10.48/10.56	% lrs+1011_7_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark
11.03/11.05	% Time limit reached!
11.03/11.05	% ------------------------------
11.03/11.05	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
11.03/11.05	% Termination reason: Time limit
11.03/11.05	% Termination phase: Saturation
11.03/11.05	
11.03/11.05	% Memory used [KB]: 37995
11.03/11.05	% Time elapsed: 0.500 s
11.03/11.05	% ------------------------------
11.03/11.05	% ------------------------------
11.03/11.09	% ott+1011_1024_anc=none:e2e=off:holscev=on:foolp=on:abs=on:acc=on:urr=on:nwc=1.5:holcelim=on:updr=off:sac=on:afea=on:newcnf=on:cond=on:add=off:combelim=both:amm=off:nm=32:afq=1:afr=on_300 on theBenchmark
41.74/41.28	% Time limit reached!
41.74/41.28	% ------------------------------
41.74/41.28	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
41.74/41.28	% Termination reason: Time limit
41.74/41.28	% Termination phase: Saturation
41.74/41.28	
41.74/41.28	% Memory used [KB]: 914569
41.74/41.28	% Time elapsed: 30.200 s
41.74/41.28	% ------------------------------
41.74/41.28	% ------------------------------
41.83/41.35	% dis+10_4_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
42.93/42.45	% Time limit reached!
42.93/42.45	% ------------------------------
42.93/42.45	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
42.93/42.45	% Termination reason: Time limit
42.93/42.45	% Termination phase: Saturation
42.93/42.45	
42.93/42.45	% Memory used [KB]: 18038
42.93/42.45	% Time elapsed: 1.100 s
42.93/42.45	% ------------------------------
42.93/42.45	% ------------------------------
42.93/42.48	% lrs+1011_7_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark
43.43/42.98	% Time limit reached!
43.43/42.98	% ------------------------------
43.43/42.98	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
43.43/42.98	% Termination reason: Time limit
43.43/42.98	% Termination phase: Saturation
43.43/42.98	
43.43/42.98	% Memory used [KB]: 39786
43.43/42.98	% Time elapsed: 0.500 s
43.43/42.98	% ------------------------------
43.43/42.98	% ------------------------------
43.52/43.01	% ott+11_2:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_111 on theBenchmark
55.00/54.31	% Time limit reached!
55.00/54.31	% ------------------------------
55.00/54.31	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
55.00/54.31	% Termination reason: Time limit
55.00/54.31	% Termination phase: Saturation
55.00/54.31	
55.00/54.31	% Memory used [KB]: 228994
55.00/54.31	% Time elapsed: 11.300 s
55.00/54.31	% ------------------------------
55.00/54.31	% ------------------------------
55.00/54.35	% ott+1011_10_bsr=on:erd=off:sas=vampire:fde=none:sp=reverse_arity:sos=all:foolp=on:addc=user:acc=on:afp=4000:fd=off:updr=off:cond=fast:lcm=reverse:add=large:nocto=10:ep=R:nm=16:fsr=off:aup=on:afq=1.1_300 on theBenchmark
85.80/84.55	% Time limit reached!
85.80/84.55	% ------------------------------
85.80/84.55	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
85.80/84.55	% Termination reason: Time limit
85.80/84.55	% Termination phase: Saturation
85.80/84.55	
85.80/84.55	% Memory used [KB]: 330570
85.80/84.55	% Time elapsed: 30.200 s
85.80/84.55	% ------------------------------
85.80/84.55	% ------------------------------
85.88/84.62	% lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=2:updr=off:afea=on:lcm=reverse:en=on:sd=7:amm=sco:bd=off:csl=3:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark
87.25/85.92	% Time limit reached!
87.25/85.92	% ------------------------------
87.25/85.92	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
87.25/85.92	% Termination reason: Time limit
87.25/85.92	% Termination phase: Saturation
87.25/85.92	
87.25/85.92	% Memory used [KB]: 52579
87.25/85.92	% Time elapsed: 1.300 s
87.25/85.92	% ------------------------------
87.25/85.92	% ------------------------------
87.25/85.95	% lrs-3_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark
88.55/87.25	% Time limit reached!
88.55/87.25	% ------------------------------
88.55/87.25	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
88.55/87.25	% Termination reason: Time limit
88.55/87.25	% Termination phase: Saturation
88.55/87.25	
88.55/87.25	% Memory used [KB]: 52323
88.55/87.25	% Time elapsed: 1.300 s
88.55/87.25	% ------------------------------
88.55/87.25	% ------------------------------
88.62/87.28	% lrs+10_3:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark
96.16/94.78	% Time limit reached!
96.16/94.78	% ------------------------------
96.16/94.78	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
96.16/94.78	% Termination reason: Time limit
96.16/94.78	% Termination phase: Saturation
96.16/94.78	
96.16/94.78	% Memory used [KB]: 230273
96.16/94.78	% Time elapsed: 7.500 s
96.16/94.78	% ------------------------------
96.16/94.78	% ------------------------------
96.29/94.82	% lrs-3_4:1_anc=all_dependent:stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:en=on:combelim=inference_rules:sd=1:amm=sco:csl=2:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark
97.60/96.12	% Time limit reached!
97.60/96.12	% ------------------------------
97.60/96.12	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
97.60/96.12	% Termination reason: Time limit
97.60/96.12	% Termination phase: Saturation
97.60/96.12	
97.60/96.12	% Memory used [KB]: 55905
97.60/96.12	% Time elapsed: 1.300 s
97.60/96.12	% ------------------------------
97.60/96.12	% ------------------------------
97.60/96.15	% lrs+1011_3:1_sas=vampire:holscev=on:sp=reverse_arity:sos=all:foolp=on:afp=10000:holcelim=on:updr=off:afea=on:cond=on:add=off:en=on:combelim=both:ep=R:amm=off:nm=16:fsr=off:afq=1.1_300 on theBenchmark
118.04/116.31	% Refutation found. Thanks to Tanya!
118.04/116.31	% SZS status Theorem for theBenchmark
118.04/116.31	% SZS output start Proof for theBenchmark
118.04/116.31	5. (powersetAx = ! [X3,X4] : (((in @ X4) @ (powerset @ X3)) <=> ! [X1] : (((in @ X1) @ X4) => ((in @ X1) @ X3)))) [input]
118.04/116.31	81. (subsetI2 = ! [X3,X4] : (! [X1] : (((in @ X1) @ X3) => ((in @ X1) @ X4)) => ((subset @ X3) @ X4))) [input]
118.04/116.31	84. (subsetE2 = ! [X3,X4,X1] : (((subset @ X3) @ X4) => (~((in @ X1) @ X4) => ~((in @ X1) @ X3)))) [input]
118.04/116.31	125. (setminusELneg = ! [X3,X4,X1] : (~((in @ X1) @ ((setminus @ X3) @ X4)) => (~((in @ X1) @ X4) => ~((in @ X1) @ X3)))) [input]
118.04/116.31	127. (setminusIRneg = ! [X3,X4,X1] : (((in @ X1) @ X4) => ~((in @ X1) @ ((setminus @ X3) @ X4)))) [input]
118.04/116.31	258. 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 => ! [X3,X11] : (((in @ X11) @ (powerset @ X3)) => ! [X16] : (((in @ X16) @ (powerset @ X3)) => (((subset @ X11) @ ((setminus @ X3) @ X16)) => ((subset @ X16) @ ((setminus @ X3) @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [input]
118.04/116.31	259. ~(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 => ! [X3,X11] : (((in @ X11) @ (powerset @ X3)) => ! [X16] : (((in @ X16) @ (powerset @ X3)) => (((subset @ X11) @ ((setminus @ X3) @ X16)) => ((subset @ X16) @ ((setminus @ X3) @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [negated conjecture 258]
118.04/116.31	261. ~(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 => ! [X0,X1] : (((in @ X1) @ (powerset @ X0)) => ! [X2] : (((in @ X2) @ (powerset @ X0)) => (((subset @ X1) @ ((setminus @ X0) @ X2)) => ((subset @ X2) @ ((setminus @ X0) @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [rectify 259]
118.04/116.31	262. ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ! [X0,X1] : (($true = in @ X1 @ (powerset @ X0)) => ! [X2] : (($true = in @ X2 @ (powerset @ X0)) => (($true = subset @ X1 @ (setminus @ X0 @ X2)) => ($true = subset @ X2 @ (setminus @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [fool elimination 261]
118.04/116.31	408. (subsetI2 = ! [X0,X1] : (! [X2] : (((in @ X2) @ X0) => ((in @ X2) @ X1)) => ((subset @ X0) @ X1))) [rectify 81]
118.04/116.31	409. (subsetI2 = $true) <=> ! [X0,X1] : (! [X2] : (($true = in @ X2 @ X0) => ($true = in @ X2 @ X1)) => ($true = subset @ X0 @ X1)) [fool elimination 408]
118.04/116.31	518. (powersetAx = ! [X0,X1] : (((in @ X1) @ (powerset @ X0)) <=> ! [X2] : (((in @ X2) @ X1) => ((in @ X2) @ X0)))) [rectify 5]
118.04/116.31	519. (powersetAx = $true) <=> ! [X0,X1] : (($true = in @ X1 @ (powerset @ X0)) <=> ! [X2] : (($true = in @ X2 @ X1) => ($true = in @ X2 @ X0))) [fool elimination 518]
118.04/116.31	564. (setminusELneg = ! [X0,X1,X2] : (~((in @ X2) @ ((setminus @ X0) @ X1)) => (~((in @ X2) @ X1) => ~((in @ X2) @ X0)))) [rectify 125]
118.04/116.31	565. (setminusELneg = $true) <=> ! [X0,X1,X2] : (~($true = in @ X2 @ (setminus @ X0 @ X1)) => (~($true = in @ X2 @ X1) => ~($true = in @ X2 @ X0))) [fool elimination 564]
118.04/116.31	580. (subsetE2 = ! [X0,X1,X2] : (((subset @ X0) @ X1) => (~((in @ X2) @ X1) => ~((in @ X2) @ X0)))) [rectify 84]
118.04/116.31	581. (subsetE2 = $true) <=> ! [X0,X1,X2] : (($true = subset @ X0 @ X1) => (~($true = in @ X2 @ X1) => ~($true = in @ X2 @ X0))) [fool elimination 580]
118.04/116.31	612. (setminusIRneg = ! [X0,X1,X2] : (((in @ X2) @ X1) => ~((in @ X2) @ ((setminus @ X0) @ X1)))) [rectify 127]
118.04/116.31	613. (setminusIRneg = $true) <=> ! [X0,X1,X2] : (($true = in @ X2 @ X1) => ~($true = in @ X2 @ (setminus @ X0 @ X1))) [fool elimination 612]
118.04/116.31	845. (setminusELneg = $true) <=> ! [X0,X1,X2] : (($true != in @ X2 @ (setminus @ X0 @ X1)) => (($true != in @ X2 @ X1) => ($true != in @ X2 @ X0))) [flattening 565]
118.04/116.31	847. (subsetE2 = $true) <=> ! [X0,X1,X2] : (($true = subset @ X0 @ X1) => (($true != in @ X2 @ X1) => ($true != in @ X2 @ X0))) [flattening 581]
118.04/116.31	853. (setminusIRneg = $true) <=> ! [X0,X1,X2] : (($true = in @ X2 @ X1) => ($true != in @ X2 @ (setminus @ X0 @ X1))) [flattening 613]
118.04/116.31	873. ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : ((($true != subset @ X2 @ (setminus @ X0 @ X1)) & ($true = subset @ X1 @ (setminus @ X0 @ X2))) & ($true = in @ X2 @ (powerset @ X0))) & ($true = in @ X1 @ (powerset @ X0))) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true) [ennf transformation 262]
118.04/116.31	874. ? [X0,X1] : (? [X2] : (($true != subset @ X2 @ (setminus @ X0 @ X1)) & ($true = subset @ X1 @ (setminus @ X0 @ X2)) & ($true = in @ X2 @ (powerset @ X0))) & ($true = in @ X1 @ (powerset @ X0))) & (contraSubsetComplement = $true) & (complementInPowersetComplementIntersect = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (complementTnotintersectT = $true) & (doubleComplementEq = $true) & (doubleComplementSub2 = $true) & (doubleComplementSub1 = $true) & (doubleComplementE1 = $true) & (doubleComplementI1 = $true) & (contrasubsetT3 = $true) & (contrasubsetT2 = $true) & (contrasubsetT1 = $true) & (contrasubsetT = $true) & (binintersectTERcontra = $true) & (binintersectTELcontra = $true) & (complementTE1 = $true) & (complementTI1 = $true) & (powersetTE1 = $true) & (powersetTI1 = $true) & (subsetTI = $true) & (setextT = $true) & (complementT_lem = $true) & (setminusT_lem = $true) & (powersetT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true) & (iftrueorfalse = $true) & (iffalse = $true) & (iftrue = $true) & (theeq = $true) & (ifp = $true) & (ifSingleton = $true) & (iftrueProp2 = $true) & (iftrueProp1 = $true) & (iffalseProp2 = $true) & (iffalseProp1 = $true) & (eta2 = $true) & (beta2 = $true) & (lam2lamEq = $true) & (eta1 = $true) & (beta1 = $true) & (ap2apEq2 = $true) & (ap2apEq1 = $true) & (funcext2 = $true) & (funcext = $true) & (eqbreln = $true) & (subbreln = $true) & (funcGraphProp4 = $true) & (funcextLem = $true) & (funcGraphProp2 = $true) & (funcGraphProp3 = $true) & (funcGraphProp1 = $true) & (ex1E2 = $true) & (brelnall2 = $true) & (brelnall1 = $true) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true) [flattening 873]
118.04/116.31	939. (subsetI2 = $true) <=> ! [X0,X1] : (($true = subset @ X0 @ X1) | ? [X2] : (($true != in @ X2 @ X1) & ($true = in @ X2 @ X0))) [ennf transformation 409]
118.04/116.31	1014. (powersetAx = $true) <=> ! [X0,X1] : (($true = in @ X1 @ (powerset @ X0)) <=> ! [X2] : (($true = in @ X2 @ X0) | ($true != in @ X2 @ X1))) [ennf transformation 519]
118.04/116.31	1021. (setminusELneg = $true) <=> ! [X0,X1,X2] : ((($true != in @ X2 @ X0) | ($true = in @ X2 @ X1)) | ($true = in @ X2 @ (setminus @ X0 @ X1))) [ennf transformation 845]
118.04/116.31	1022. (setminusELneg = $true) <=> ! [X0,X1,X2] : (($true != in @ X2 @ X0) | ($true = in @ X2 @ X1) | ($true = in @ X2 @ (setminus @ X0 @ X1))) [flattening 1021]
118.04/116.31	1031. (subsetE2 = $true) <=> ! [X0,X1,X2] : ((($true != in @ X2 @ X0) | ($true = in @ X2 @ X1)) | ($true != subset @ X0 @ X1)) [ennf transformation 847]
118.04/116.31	1032. (subsetE2 = $true) <=> ! [X0,X1,X2] : (($true != in @ X2 @ X0) | ($true = in @ X2 @ X1) | ($true != subset @ X0 @ X1)) [flattening 1031]
118.04/116.31	1061. (setminusIRneg = $true) <=> ! [X0,X1,X2] : (($true != in @ X2 @ (setminus @ X0 @ X1)) | ($true != in @ X2 @ X1)) [ennf transformation 853]
118.04/116.31	1197. ? [X0,X1] : (? [X2] : (($true != subset @ X2 @ (setminus @ X0 @ X1)) & ($true = subset @ X1 @ (setminus @ X0 @ X2)) & ($true = in @ X2 @ (powerset @ X0))) & ($true = in @ X1 @ (powerset @ X0))) => (? [X2] : (($true != subset @ X2 @ (setminus @ sK18 @ sK19)) & ($true = subset @ sK19 @ (setminus @ sK18 @ X2)) & ($true = in @ X2 @ (powerset @ sK18))) & ($true = in @ sK19 @ (powerset @ sK18))) [choice axiom]
118.04/116.31	1198. ? [X2] : (($true != subset @ X2 @ (setminus @ X0 @ X1)) & ($true = subset @ X1 @ (setminus @ X0 @ X2)) & ($true = in @ X2 @ (powerset @ X0))) => (($true != subset @ sK20 @ (setminus @ X0 @ X1)) & ($true = subset @ X1 @ (setminus @ X0 @ sK20)) & ($true = in @ sK20 @ (powerset @ X0))) [choice axiom]
118.04/116.31	1199. ((($true != subset @ sK20 @ (setminus @ sK18 @ sK19)) & ($true = subset @ sK19 @ (setminus @ sK18 @ sK20)) & ($true = in @ sK20 @ (powerset @ sK18))) & ($true = in @ sK19 @ (powerset @ sK18))) & (contraSubsetComplement = $true) & (complementInPowersetComplementIntersect = $true) & (complementSubsetComplementIntersect = $true) & (complementImpComplementIntersect = $true) & (complementTnotintersectT = $true) & (doubleComplementEq = $true) & (doubleComplementSub2 = $true) & (doubleComplementSub1 = $true) & (doubleComplementE1 = $true) & (doubleComplementI1 = $true) & (contrasubsetT3 = $true) & (contrasubsetT2 = $true) & (contrasubsetT1 = $true) & (contrasubsetT = $true) & (binintersectTERcontra = $true) & (binintersectTELcontra = $true) & (complementTE1 = $true) & (complementTI1 = $true) & (powersetTE1 = $true) & (powersetTI1 = $true) & (subsetTI = $true) & (setextT = $true) & (complementT_lem = $true) & (setminusT_lem = $true) & (powersetT_lem = $true) & (binunionT_lem = $true) & (binintersectT_lem = $true) & (iftrueorfalse = $true) & (iffalse = $true) & (iftrue = $true) & (theeq = $true) & (ifp = $true) & (ifSingleton = $true) & (iftrueProp2 = $true) & (iftrueProp1 = $true) & (iffalseProp2 = $true) & (iffalseProp1 = $true) & (eta2 = $true) & (beta2 = $true) & (lam2lamEq = $true) & (eta1 = $true) & (beta1 = $true) & (ap2apEq2 = $true) & (ap2apEq1 = $true) & (funcext2 = $true) & (funcext = $true) & (eqbreln = $true) & (subbreln = $true) & (funcGraphProp4 = $true) & (funcextLem = $true) & (funcGraphProp2 = $true) & (funcGraphProp3 = $true) & (funcGraphProp1 = $true) & (ex1E2 = $true) & (brelnall2 = $true) & (brelnall1 = $true) & (lam2p = $true) & (lamp = $true) & (lamProp = $true) & (funcinfuncset = $true) & (ap2p = $true) & (infuncsetfunc = $true) & (app = $true) & (apProp = $true) & (funcImageSingleton = $true) & (dpsetconstrER = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrEL1 = $true) & (dpsetconstrERa = $true) & (setOfPairsIsBReln = $true) & (dpsetconstrSub = $true) & (dpsetconstrI = $true) & (cartprodpairsurjEq = $true) & (cartprodsndpairEq = $true) & (cartprodfstpairEq = $true) & (cartprodmempaircEq = $true) & (cartprodpairmemER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (kpairsurjEq = $true) & (ksndpairEq = $true) & (ksndsingleton = $true) & (setukpairinjR = $true) & (setukpairinjR2 = $true) & (upairequniteq = $true) & (setukpairinjR1 = $true) & (setukpairinjR12 = $true) & (setukpairinjR11 = $true) & (setukpairinjL = $true) & (setukpairinjL2 = $true) & (cartprodfstin = $true) & (kfstpairEq = $true) & (theprop = $true) & (kfstsingleton = $true) & (setukpairinjL1 = $true) & (singletonsuniq = $true) & (ex1I2 = $true) & (ex1I = $true) & (ex1E1 = $true) & (singletonprop = $true) & (setunionsingleton = $true) & (setunionsingleton2 = $true) & (setunionsingleton1 = $true) & (setunionE2 = $true) & (cartprodmempair = $true) & (cartprodmempair1 = $true) & (cartprodpairin = $true) & (ubforcartprodlem3 = $true) & (ubforcartprodlem2 = $true) & (ubforcartprodlem1 = $true) & (upairinpowunion = $true) & (upairsubunion = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (singletoninpowerset = $true) & (singletonsubset = $true) & (kpairp = $true) & (kpairiskpair = $true) & (setukpairIR = $true) & (setukpairIL = $true) & (secondinupair = $true) & (symdiffIneg2 = $true) & (symdiffIneg1 = $true) & (symdiffI2 = $true) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true) [skolemisation 874,1198,1197]
118.04/116.31	1553. ((subsetI2 = $true) | ? [X0,X1] : (($true != subset @ X0 @ X1) & ! [X2] : (($true = in @ X2 @ X1) | ($true != in @ X2 @ X0)))) & (! [X0,X1] : (($true = subset @ X0 @ X1) | ? [X2] : (($true != in @ X2 @ X1) & ($true = in @ X2 @ X0))) | (subsetI2 != $true)) [nnf transformation 939]
118.04/116.31	1554. ((subsetI2 = $true) | ? [X0,X1] : (($true != subset @ X0 @ X1) & ! [X2] : (($true = in @ X2 @ X1) | ($true != in @ X2 @ X0)))) & (! [X3,X4] : (($true = subset @ X3 @ X4) | ? [X5] : (($true != in @ X5 @ X4) & ($true = in @ X5 @ X3))) | (subsetI2 != $true)) [rectify 1553]
118.04/116.31	1555. ? [X0,X1] : (($true != subset @ X0 @ X1) & ! [X2] : (($true = in @ X2 @ X1) | ($true != in @ X2 @ X0))) => (($true != subset @ sK198 @ sK199) & ! [X2] : (($true = in @ X2 @ sK199) | ($true != in @ X2 @ sK198))) [choice axiom]
118.04/116.31	1556. ! [X4,X3] : (? [X5] : (($true != in @ X5 @ X4) & ($true = in @ X5 @ X3)) => (($true != in @ (sK200 @ X4 @ X3) @ X4) & ($true = in @ (sK200 @ X4 @ X3) @ X3))) [choice axiom]
118.04/116.31	1557. ((subsetI2 = $true) | (($true != subset @ sK198 @ sK199) & ! [X2] : (($true = in @ X2 @ sK199) | ($true != in @ X2 @ sK198)))) & (! [X3,X4] : (($true = subset @ X3 @ X4) | (($true != in @ (sK200 @ X4 @ X3) @ X4) & ($true = in @ (sK200 @ X4 @ X3) @ X3))) | (subsetI2 != $true)) [skolemisation 1554,1556,1555]
118.04/116.31	1824. ((powersetAx = $true) | ? [X0,X1] : ((? [X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ X1)) | ($true != in @ X1 @ (powerset @ X0))) & (! [X2] : (($true = in @ X2 @ X0) | ($true != in @ X2 @ X1)) | ($true = in @ X1 @ (powerset @ X0))))) & (! [X0,X1] : ((($true = in @ X1 @ (powerset @ X0)) | ? [X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ X1))) & (! [X2] : (($true = in @ X2 @ X0) | ($true != in @ X2 @ X1)) | ($true != in @ X1 @ (powerset @ X0)))) | (powersetAx != $true)) [nnf transformation 1014]
118.04/116.31	1825. ((powersetAx = $true) | ? [X0,X1] : ((? [X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ X1)) | ($true != in @ X1 @ (powerset @ X0))) & (! [X3] : (($true = in @ X3 @ X0) | ($true != in @ X3 @ X1)) | ($true = in @ X1 @ (powerset @ X0))))) & (! [X4,X5] : ((($true = in @ X5 @ (powerset @ X4)) | ? [X6] : (($true != in @ X6 @ X4) & ($true = in @ X6 @ X5))) & (! [X7] : (($true = in @ X7 @ X4) | ($true != in @ X7 @ X5)) | ($true != in @ X5 @ (powerset @ X4)))) | (powersetAx != $true)) [rectify 1824]
118.04/116.31	1826. ? [X0,X1] : ((? [X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ X1)) | ($true != in @ X1 @ (powerset @ X0))) & (! [X3] : (($true = in @ X3 @ X0) | ($true != in @ X3 @ X1)) | ($true = in @ X1 @ (powerset @ X0)))) => ((? [X2] : (($true != in @ X2 @ sK361) & ($true = in @ X2 @ sK362)) | ($true != in @ sK362 @ (powerset @ sK361))) & (! [X3] : (($true = in @ X3 @ sK361) | ($true != in @ X3 @ sK362)) | ($true = in @ sK362 @ (powerset @ sK361)))) [choice axiom]
118.04/116.31	1827. ? [X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ X1)) => (($true != in @ sK363 @ X0) & ($true = in @ sK363 @ X1)) [choice axiom]
118.04/116.31	1828. ! [X5,X4] : (? [X6] : (($true != in @ X6 @ X4) & ($true = in @ X6 @ X5)) => (($true != in @ (sK364 @ X5 @ X4) @ X4) & ($true = in @ (sK364 @ X5 @ X4) @ X5))) [choice axiom]
118.04/116.31	1829. ((powersetAx = $true) | (((($true != in @ sK363 @ sK361) & ($true = in @ sK363 @ sK362)) | ($true != in @ sK362 @ (powerset @ sK361))) & (! [X3] : (($true = in @ X3 @ sK361) | ($true != in @ X3 @ sK362)) | ($true = in @ sK362 @ (powerset @ sK361))))) & (! [X4,X5] : ((($true = in @ X5 @ (powerset @ X4)) | (($true != in @ (sK364 @ X5 @ X4) @ X4) & ($true = in @ (sK364 @ X5 @ X4) @ X5))) & (! [X7] : (($true = in @ X7 @ X4) | ($true != in @ X7 @ X5)) | ($true != in @ X5 @ (powerset @ X4)))) | (powersetAx != $true)) [skolemisation 1825,1828,1827,1826]
118.04/116.31	1918. ((setminusELneg = $true) | ? [X0,X1,X2] : (($true = in @ X2 @ X0) & ($true != in @ X2 @ X1) & ($true != in @ X2 @ (setminus @ X0 @ X1)))) & (! [X0,X1,X2] : (($true != in @ X2 @ X0) | ($true = in @ X2 @ X1) | ($true = in @ X2 @ (setminus @ X0 @ X1))) | (setminusELneg != $true)) [nnf transformation 1022]
118.04/116.31	1919. ((setminusELneg = $true) | ? [X0,X1,X2] : (($true = in @ X2 @ X0) & ($true != in @ X2 @ X1) & ($true != in @ X2 @ (setminus @ X0 @ X1)))) & (! [X3,X4,X5] : (($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true = in @ X5 @ (setminus @ X3 @ X4))) | (setminusELneg != $true)) [rectify 1918]
118.04/116.31	1920. ? [X0,X1,X2] : (($true = in @ X2 @ X0) & ($true != in @ X2 @ X1) & ($true != in @ X2 @ (setminus @ X0 @ X1))) => (($true = in @ sK416 @ sK414) & ($true != in @ sK416 @ sK415) & ($true != in @ sK416 @ (setminus @ sK414 @ sK415))) [choice axiom]
118.04/116.31	1921. ((setminusELneg = $true) | (($true = in @ sK416 @ sK414) & ($true != in @ sK416 @ sK415) & ($true != in @ sK416 @ (setminus @ sK414 @ sK415)))) & (! [X3,X4,X5] : (($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true = in @ X5 @ (setminus @ X3 @ X4))) | (setminusELneg != $true)) [skolemisation 1919,1920]
118.04/116.31	1958. ((subsetE2 = $true) | ? [X0,X1,X2] : (($true = in @ X2 @ X0) & ($true != in @ X2 @ X1) & ($true = subset @ X0 @ X1))) & (! [X0,X1,X2] : (($true != in @ X2 @ X0) | ($true = in @ X2 @ X1) | ($true != subset @ X0 @ X1)) | (subsetE2 != $true)) [nnf transformation 1032]
118.04/116.31	1959. ((subsetE2 = $true) | ? [X0,X1,X2] : (($true = in @ X2 @ X0) & ($true != in @ X2 @ X1) & ($true = subset @ X0 @ X1))) & (! [X3,X4,X5] : (($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true != subset @ X3 @ X4)) | (subsetE2 != $true)) [rectify 1958]
118.04/116.31	1960. ? [X0,X1,X2] : (($true = in @ X2 @ X0) & ($true != in @ X2 @ X1) & ($true = subset @ X0 @ X1)) => (($true = in @ sK448 @ sK446) & ($true != in @ sK448 @ sK447) & ($true = subset @ sK446 @ sK447)) [choice axiom]
118.04/116.31	1961. ((subsetE2 = $true) | (($true = in @ sK448 @ sK446) & ($true != in @ sK448 @ sK447) & ($true = subset @ sK446 @ sK447))) & (! [X3,X4,X5] : (($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true != subset @ X3 @ X4)) | (subsetE2 != $true)) [skolemisation 1959,1960]
118.04/116.31	2023. ((setminusIRneg = $true) | ? [X0,X1,X2] : (($true = in @ X2 @ (setminus @ X0 @ X1)) & ($true = in @ X2 @ X1))) & (! [X0,X1,X2] : (($true != in @ X2 @ (setminus @ X0 @ X1)) | ($true != in @ X2 @ X1)) | (setminusIRneg != $true)) [nnf transformation 1061]
118.04/116.31	2024. ((setminusIRneg = $true) | ? [X0,X1,X2] : (($true = in @ X2 @ (setminus @ X0 @ X1)) & ($true = in @ X2 @ X1))) & (! [X3,X4,X5] : (($true != in @ X5 @ (setminus @ X3 @ X4)) | ($true != in @ X5 @ X4)) | (setminusIRneg != $true)) [rectify 2023]
118.04/116.31	2025. ? [X0,X1,X2] : (($true = in @ X2 @ (setminus @ X0 @ X1)) & ($true = in @ X2 @ X1)) => (($true = in @ sK497 @ (setminus @ sK495 @ sK496)) & ($true = in @ sK497 @ sK496)) [choice axiom]
118.04/116.31	2026. ((setminusIRneg = $true) | (($true = in @ sK497 @ (setminus @ sK495 @ sK496)) & ($true = in @ sK497 @ sK496))) & (! [X3,X4,X5] : (($true != in @ X5 @ (setminus @ X3 @ X4)) | ($true != in @ X5 @ X4)) | (setminusIRneg != $true)) [skolemisation 2024,2025]
118.04/116.31	2441. (powersetAx = $true) [cnf transformation 1199]
118.04/116.31	2516. (subsetI2 = $true) [cnf transformation 1199]
118.04/116.31	2519. (subsetE2 = $true) [cnf transformation 1199]
118.04/116.31	2560. (setminusELneg = $true) [cnf transformation 1199]
118.04/116.31	2562. (setminusIRneg = $true) [cnf transformation 1199]
118.04/116.31	2692. ($true = in @ sK20 @ (powerset @ sK18)) [cnf transformation 1199]
118.04/116.31	2693. ($true = subset @ sK19 @ (setminus @ sK18 @ sK20)) [cnf transformation 1199]
118.04/116.31	2694. ($true != subset @ sK20 @ (setminus @ sK18 @ sK19)) [cnf transformation 1199]
118.04/116.31	2998. ($true = subset @ X3 @ X4) | ($true = in @ (sK200 @ X4 @ X3) @ X3) | (subsetI2 != $true) [cnf transformation 1557]
118.04/116.31	2999. ($true = subset @ X3 @ X4) | ($true != in @ (sK200 @ X4 @ X3) @ X4) | (subsetI2 != $true) [cnf transformation 1557]
118.04/116.31	3250. ($true = in @ X7 @ X4) | ($true != in @ X7 @ X5) | ($true != in @ X5 @ (powerset @ X4)) | (powersetAx != $true) [cnf transformation 1829]
118.04/116.31	3306. ($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true = in @ X5 @ (setminus @ X3 @ X4)) | (setminusELneg != $true) [cnf transformation 1921]
118.04/116.31	3340. ($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true != subset @ X3 @ X4) | (subsetE2 != $true) [cnf transformation 1961]
118.04/116.31	3405. ($true != in @ X5 @ (setminus @ X3 @ X4)) | ($true != in @ X5 @ X4) | (setminusIRneg != $true) [cnf transformation 2026]
118.04/116.31	4027. ($true = subset @ X3 @ X4) | ($true != in @ (sK200 @ X4 @ X3) @ X4) | ($true != $true) [definition unfolding 2999,2516]
118.04/116.31	4028. ($true = subset @ X3 @ X4) | ($true = in @ (sK200 @ X4 @ X3) @ X3) | ($true != $true) [definition unfolding 2998,2516]
118.04/116.31	4282. ($true = in @ X7 @ X4) | ($true != in @ X7 @ X5) | ($true != in @ X5 @ (powerset @ X4)) | ($true != $true) [definition unfolding 3250,2441]
118.04/116.31	4336. ($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true = in @ X5 @ (setminus @ X3 @ X4)) | ($true != $true) [definition unfolding 3306,2560]
118.04/116.31	4370. ($true != in @ X5 @ X3) | ($true = in @ X5 @ X4) | ($true != subset @ X3 @ X4) | ($true != $true) [definition unfolding 3340,2519]
118.04/116.31	4434. ($true != in @ X5 @ (setminus @ X3 @ X4)) | ($true != in @ X5 @ X4) | ($true != $true) [definition unfolding 3405,2562]
118.04/116.31	4856. ! [X1 : $o,X0 : $o] : (sQ826_eqProxy(X0,X1) <=> (X0 = X1)) [equality proxy definition]
118.04/116.31	4889. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,sK20),vAPP_8_0(vAPP_9_0(setminus,sK18),sK19))) [equality proxy replacement 2694,4856]
118.04/116.31	4890. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,sK19),vAPP_8_0(vAPP_9_0(setminus,sK18),sK20))) [equality proxy replacement 2693,4856]
118.04/116.31	4891. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,sK20),vAPP_8_0(powerset,sK18))) [equality proxy replacement 2692,4856]
118.04/116.31	5196. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,X4),X3)),X4)) | ~sQ826_eqProxy($true,$true) [equality proxy replacement 4027,4856,4856,4856]
118.04/116.31	5197. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,X4),X3)),X3)) | ~sQ826_eqProxy($true,$true) [equality proxy replacement 4028,4856,4856,4856]
118.04/116.31	5451. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X7),X4)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X7),X5)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(powerset,X4))) | ~sQ826_eqProxy($true,$true) [equality proxy replacement 4282,4856,4856,4856,4856]
118.04/116.31	5505. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X3)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(vAPP_9_0(setminus,X3),X4))) | ~sQ826_eqProxy($true,$true) [equality proxy replacement 4336,4856,4856,4856,4856]
118.04/116.31	5539. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X3)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | ~sQ826_eqProxy($true,$true) [equality proxy replacement 4370,4856,4856,4856,4856]
118.04/116.31	5603. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(vAPP_9_0(setminus,X3),X4))) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4)) | ~sQ826_eqProxy($true,$true) [equality proxy replacement 4434,4856,4856,4856]
118.04/116.31	5957. sQ826_eqProxy(X0,X0) [equality proxy axiom 4856]
118.04/116.31	6562. 1 <=> ~sQ826_eqProxy($true,$true) [avatar definition]
118.04/116.31	6563. ~sQ826_eqProxy($true,$true) <- {1} [avatar component clause 6562]
118.04/116.31	6955. 186 <=> ! [X3,X4] : (sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,X4),X3)),X4))) [avatar definition]
118.04/116.31	6956. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,X4),X3)),X4)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) <- {186} [avatar component clause 6955]
118.04/116.31	6957. ~1 | 186 [avatar split clause 5196,6955,6562]
118.04/116.31	6959. 188 <=> ! [X3,X4] : (sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,X4),X3)),X3))) [avatar definition]
118.04/116.31	6960. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,X4),X3)),X3)) <- {188} [avatar component clause 6959]
118.04/116.31	6961. ~1 | 188 [avatar split clause 5197,6959,6562]
118.04/116.31	7272. 344 <=> ! [X5,X7,X4] : (sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X7),X4)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(powerset,X4))) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X7),X5))) [avatar definition]
118.04/116.31	7273. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(powerset,X4))) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X7),X4)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X7),X5)) <- {344} [avatar component clause 7272]
118.04/116.31	7274. ~1 | 344 [avatar split clause 5451,7272,6562]
118.04/116.31	7358. 386 <=> ! [X3,X5,X4] : (~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X3)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(vAPP_9_0(setminus,X3),X4))) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4))) [avatar definition]
118.04/116.31	7359. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(vAPP_9_0(setminus,X3),X4))) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X3)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4)) <- {386} [avatar component clause 7358]
118.04/116.31	7360. ~1 | 386 [avatar split clause 5505,7358,6562]
118.04/116.31	7403. 408 <=> ! [X3,X5,X4] : (~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X3)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4))) [avatar definition]
118.04/116.31	7404. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X3),X4)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X3)) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4)) <- {408} [avatar component clause 7403]
118.04/116.31	7405. ~1 | 408 [avatar split clause 5539,7403,6562]
118.04/116.31	7459. 434 <=> ! [X3,X5,X4] : (~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(vAPP_9_0(setminus,X3),X4))) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4))) [avatar definition]
118.04/116.31	7460. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),vAPP_8_0(vAPP_9_0(setminus,X3),X4))) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X5),X4)) <- {434} [avatar component clause 7459]
118.04/116.31	7461. ~1 | 434 [avatar split clause 5603,7459,6562]
118.04/116.31	11303. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK20)) <- {188} [resolution 6960,4889]
118.04/116.31	14763. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X13),vAPP_8_0(vAPP_9_0(setminus,sK18),sK20))) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X13),sK19)) <- {408} [resolution 7404,4890]
118.04/116.31	16036. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X313),sK18)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X313),sK20)) <- {344} [resolution 7273,4891]
118.04/116.31	17832. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(subset,X2),vAPP_8_0(vAPP_9_0(setminus,X0),X1))) | sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,X0),X1)),X2)),X1)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,X0),X1)),X2)),X0)) <- {186, 386} [resolution 7359,6956]
118.04/116.31	23268. $false <- {1} [resolution 6563,5957]
118.04/116.31	23269. 1 [avatar contradiction clause 23268]
118.04/116.31	47724. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X2),sK19)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,X2),sK20)) <- {408, 434} [resolution 14763,7460]
118.04/116.31	102001. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK19)) | ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK18)) <- {186, 386} [resolution 17832,4889]
118.04/116.31	102035. 21097 <=> ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK18)) [avatar definition]
118.04/116.31	102036. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK18)) <- {21097} [avatar component clause 102035]
118.04/116.31	102041. 21098 <=> sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK19)) [avatar definition]
118.04/116.31	102042. sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK19)) <- {21098} [avatar component clause 102041]
118.04/116.31	102043. ~21097 | 21098 | ~186 | ~386 [avatar split clause 102001,7358,6955,102041,102035]
118.04/116.31	190770. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK20)) <- {344, 21097} [resolution 102036,16036]
118.04/116.31	218244. $false <- {188, 344, 21097} [resolution 190770,11303]
118.04/116.31	218248. ~188 | ~344 | 21097 [avatar contradiction clause 218244]
118.04/116.31	218308. ~sQ826_eqProxy($true,vAPP_5_0(vAPP_6_0(in,vAPP_8_0(vAPP_9_0(sK200,vAPP_8_0(vAPP_9_0(setminus,sK18),sK19)),sK20)),sK20)) <- {408, 434, 21098} [resolution 102042,47724]
118.04/116.31	228225. $false <- {188, 408, 434, 21098} [resolution 218308,11303]
118.04/116.31	228229. ~188 | ~408 | ~434 | ~21098 [avatar contradiction clause 228225]
118.04/116.31	228230. $false [avatar sat refutation 228229,6961,23269,7405,7461,102043,6957,7360,218248,7274]
118.04/116.31	% SZS output end Proof for theBenchmark
118.04/116.31	% ------------------------------
118.04/116.31	% Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100)
118.04/116.31	% Termination reason: Refutation
118.04/116.31	
118.04/116.31	% Memory used [KB]: 277735
118.04/116.31	% Time elapsed: 20.162 s
118.04/116.31	% ------------------------------
118.04/116.31	% ------------------------------
118.15/116.34	% Success in time 115.992 s
118.15/116.34	EOF