TSTP Solution File: PRD001+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PRD001+1 : TPTP v8.1.0. Released v6.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 : Sun Sep 18 13:40:39 EDT 2022
% Result : Theorem 1.52s 1.29s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRD001+1 : TPTP v8.1.0. Released v6.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 17:46:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 1.52/1.29 % SZS status Theorem
% 1.52/1.29 % SZS output start Proof
% 1.52/1.29 tff(locatedin_type, type, (
% 1.52/1.29 locatedin: ( $i * $i ) > $o)).
% 1.52/1.29 tff(usregion_type, type, (
% 1.52/1.29 usregion: $i)).
% 1.52/1.29 tff(californiaregion_type, type, (
% 1.52/1.29 californiaregion: $i)).
% 1.52/1.29 tff(locatedin_aux_type, type, (
% 1.52/1.29 locatedin_aux: ( $i * $i ) > $o)).
% 1.52/1.29 tff(madefromfruit_type, type, (
% 1.52/1.29 madefromfruit: ( $i * $i ) > $o)).
% 1.52/1.29 tff(semillongrape_type, type, (
% 1.52/1.29 semillongrape: $i)).
% 1.52/1.29 tff(chateaudychemsauterne_type, type, (
% 1.52/1.29 chateaudychemsauterne: $i)).
% 1.52/1.29 tff(madefromgrape_type, type, (
% 1.52/1.29 madefromgrape: ( $i * $i ) > $o)).
% 1.52/1.29 tff(madefromgrape_aux_type, type, (
% 1.52/1.29 madefromgrape_aux: ( $i * $i ) > $o)).
% 1.52/1.29 tff(madeintowine_type, type, (
% 1.52/1.29 madeintowine: ( $i * $i ) > $o)).
% 1.52/1.29 tff(loire_type, type, (
% 1.52/1.29 loire: $i > $o)).
% 1.52/1.29 tff(rosedanjou_type, type, (
% 1.52/1.29 rosedanjou: $i)).
% 1.52/1.29 tff(anjou_type, type, (
% 1.52/1.29 anjou: $i > $o)).
% 1.52/1.29 tff(anjou_aux_type, type, (
% 1.52/1.29 anjou_aux: $i > $o)).
% 1.52/1.29 tff(hasmaker_type, type, (
% 1.52/1.29 hasmaker: ( $i * $i ) > $o)).
% 1.52/1.29 tff(pulignymontrachet_type, type, (
% 1.52/1.29 pulignymontrachet: $i)).
% 1.52/1.29 tff(pulignymontrachetwhiteburgundy_type, type, (
% 1.52/1.29 pulignymontrachetwhiteburgundy: $i)).
% 1.52/1.29 tff(hasmaker_aux_type, type, (
% 1.52/1.29 hasmaker_aux: ( $i * $i ) > $o)).
% 1.52/1.29 tff(hassugar_type, type, (
% 1.52/1.29 hassugar: ( $i * $i ) > $o)).
% 1.52/1.29 tff(dry_type, type, (
% 1.52/1.29 dry: $i)).
% 1.52/1.29 tff(hassugar_aux_type, type, (
% 1.52/1.29 hassugar_aux: ( $i * $i ) > $o)).
% 1.52/1.29 tff(pauillac_type, type, (
% 1.52/1.29 pauillac: $i > $o)).
% 1.52/1.29 tff(chateaulafiterothschildpauillac_type, type, (
% 1.52/1.29 chateaulafiterothschildpauillac: $i)).
% 1.52/1.29 tff(pauillac_aux_type, type, (
% 1.52/1.29 pauillac_aux: $i > $o)).
% 1.52/1.29 tff(pinotblanc_type, type, (
% 1.52/1.29 pinotblanc: $i > $o)).
% 1.52/1.29 tff(sevreetmainemuscadet_type, type, (
% 1.52/1.29 sevreetmainemuscadet: $i)).
% 1.52/1.29 tff(q24_type, type, (
% 1.52/1.29 q24: $i > $o)).
% 1.52/1.29 tff(muscadet_type, type, (
% 1.52/1.29 muscadet: $i > $o)).
% 1.52/1.29 tff(muscadet_aux_type, type, (
% 1.52/1.29 muscadet_aux: $i > $o)).
% 1.52/1.29 tff(sweetwine_type, type, (
% 1.52/1.29 sweetwine: $i > $o)).
% 1.52/1.29 tff(q71_type, type, (
% 1.52/1.29 q71: $i > $o)).
% 1.52/1.29 tff(ot____nom1_type, type, (
% 1.52/1.29 ot____nom1: $i > $o)).
% 1.52/1.29 tff(q70_type, type, (
% 1.52/1.29 q70: $i > $o)).
% 1.52/1.29 tff(lateharvest_type, type, (
% 1.52/1.29 lateharvest: $i > $o)).
% 1.52/1.29 tff(sauternes_type, type, (
% 1.52/1.29 sauternes: $i > $o)).
% 1.52/1.29 tff(sauternes_aux_type, type, (
% 1.52/1.29 sauternes_aux: $i > $o)).
% 1.52/1.29 tff(kaon2namedobjects_type, type, (
% 1.52/1.29 kaon2namedobjects: $i > $o)).
% 1.52/1.29 tff(wine_type, type, (
% 1.52/1.29 wine: $i > $o)).
% 1.52/1.29 tff(tablewine_type, type, (
% 1.52/1.29 tablewine: $i > $o)).
% 1.52/1.29 tff(mariettaoldvinesred_type, type, (
% 1.52/1.29 mariettaoldvinesred: $i)).
% 1.52/1.29 tff(redtablewine_type, type, (
% 1.52/1.29 redtablewine: $i > $o)).
% 1.52/1.29 tff(redtablewine_aux_type, type, (
% 1.52/1.29 redtablewine_aux: $i > $o)).
% 1.52/1.29 tff(texaswine_type, type, (
% 1.52/1.29 texaswine: $i > $o)).
% 1.52/1.29 tff(stgenevievetexaswhite_type, type, (
% 1.52/1.29 stgenevievetexaswhite: $i)).
% 1.52/1.29 tff(q74_type, type, (
% 1.52/1.29 q74: $i > $o)).
% 1.52/1.29 tff(texasregion_type, type, (
% 1.52/1.29 texasregion: $i)).
% 1.52/1.29 tff(centraltexasregion_type, type, (
% 1.52/1.29 centraltexasregion: $i)).
% 1.52/1.29 tff(ot____nom10_type, type, (
% 1.52/1.29 ot____nom10: $i > $o)).
% 1.52/1.29 tff(ot____nom10_aux_type, type, (
% 1.52/1.29 ot____nom10_aux: $i > $o)).
% 1.52/1.29 tff(whitewine_type, type, (
% 1.52/1.29 whitewine: $i > $o)).
% 1.52/1.29 tff(whitewine_aux_type, type, (
% 1.52/1.29 whitewine_aux: $i > $o)).
% 1.52/1.29 tff(petitesyrah_type, type, (
% 1.52/1.29 petitesyrah: $i > $o)).
% 1.52/1.29 tff(mariettapetitesyrah_type, type, (
% 1.52/1.29 mariettapetitesyrah: $i)).
% 1.52/1.29 tff(petitesyrah_aux_type, type, (
% 1.52/1.29 petitesyrah_aux: $i > $o)).
% 1.52/1.29 tff(haswinedescriptor_type, type, (
% 1.52/1.29 haswinedescriptor: ( $i * $i ) > $o)).
% 1.52/1.29 tff(riesling_type, type, (
% 1.52/1.29 riesling: $i > $o)).
% 1.52/1.29 tff(corbansdrywhiteriesling_type, type, (
% 1.52/1.29 corbansdrywhiteriesling: $i)).
% 1.52/1.29 tff(riesling_aux_type, type, (
% 1.52/1.29 riesling_aux: $i > $o)).
% 1.52/1.29 tff(region_type, type, (
% 1.52/1.29 region: $i > $o)).
% 1.52/1.29 tff(region_aux_type, type, (
% 1.52/1.29 region_aux: $i > $o)).
% 1.52/1.29 tff(redwine_type, type, (
% 1.52/1.29 redwine: $i > $o)).
% 1.52/1.29 tff(taylorport_type, type, (
% 1.52/1.29 taylorport: $i)).
% 1.52/1.29 tff(port_type, type, (
% 1.52/1.29 port: $i > $o)).
% 1.52/1.29 tff(port_aux_type, type, (
% 1.52/1.29 port_aux: $i > $o)).
% 1.52/1.29 tff(redburgundy_type, type, (
% 1.52/1.29 redburgundy: $i > $o)).
% 1.52/1.29 tff(closdevougeotcotesdor_type, type, (
% 1.52/1.29 closdevougeotcotesdor: $i)).
% 1.52/1.29 tff(cotesdor_type, type, (
% 1.52/1.29 cotesdor: $i > $o)).
% 1.52/1.29 tff(cotesdor_aux_type, type, (
% 1.52/1.29 cotesdor_aux: $i > $o)).
% 1.52/1.29 tff(margaux_type, type, (
% 1.52/1.29 margaux: $i > $o)).
% 1.52/1.29 tff(chateaumargaux_type, type, (
% 1.52/1.29 chateaumargaux: $i)).
% 1.52/1.29 tff(margaux_aux_type, type, (
% 1.52/1.29 margaux_aux: $i > $o)).
% 1.52/1.29 tff(redbordeaux_type, type, (
% 1.52/1.29 redbordeaux: $i > $o)).
% 1.52/1.29 tff(chateauchevalblancstemilion_type, type, (
% 1.52/1.29 chateauchevalblancstemilion: $i)).
% 1.52/1.29 tff(q41_type, type, (
% 1.52/1.29 q41: $i > $o)).
% 1.52/1.29 tff(q0_type, type, (
% 1.52/1.29 q0: $i > $o)).
% 1.52/1.29 tff(stemilion_type, type, (
% 1.52/1.29 stemilion: $i > $o)).
% 1.52/1.29 tff(stemilion_aux_type, type, (
% 1.52/1.29 stemilion_aux: $i > $o)).
% 1.52/1.29 tff(bordeaux_type, type, (
% 1.52/1.29 bordeaux: $i > $o)).
% 1.52/1.29 tff(meursault_type, type, (
% 1.52/1.29 meursault: $i > $o)).
% 1.52/1.29 tff(chateaudemeursaultmeursault_type, type, (
% 1.52/1.29 chateaudemeursaultmeursault: $i)).
% 1.52/1.29 tff(meursault_aux_type, type, (
% 1.52/1.29 meursault_aux: $i > $o)).
% 1.52/1.29 tff(hasvintageyear_type, type, (
% 1.52/1.29 hasvintageyear: ( $i * $i ) > $o)).
% 1.52/1.29 tff(year1998_type, type, (
% 1.52/1.29 year1998: $i)).
% 1.52/1.29 tff(saucelitocanyonzinfandel1998_type, type, (
% 1.52/1.29 saucelitocanyonzinfandel1998: $i)).
% 1.52/1.29 tff(hasvintageyear_aux_type, type, (
% 1.52/1.29 hasvintageyear_aux: ( $i * $i ) > $o)).
% 1.52/1.29 tff(sweetriesling_type, type, (
% 1.52/1.29 sweetriesling: $i > $o)).
% 1.52/1.29 tff(schlossrothermeltrochenbierenausleseriesling_type, type, (
% 1.52/1.29 schlossrothermeltrochenbierenausleseriesling: $i)).
% 1.52/1.29 tff(sweetriesling_aux_type, type, (
% 1.52/1.29 sweetriesling_aux: $i > $o)).
% 1.52/1.29 tff(potableliquid_type, type, (
% 1.52/1.29 potableliquid: $i > $o)).
% 1.52/1.29 tff(pinotnoir_type, type, (
% 1.52/1.29 pinotnoir: $i > $o)).
% 1.52/1.29 tff(mountadampinotnoir_type, type, (
% 1.52/1.29 mountadampinotnoir: $i)).
% 1.52/1.29 tff(pinotnoir_aux_type, type, (
% 1.52/1.29 pinotnoir_aux: $i > $o)).
% 1.52/1.29 tff(medoc_type, type, (
% 1.52/1.29 medoc: $i > $o)).
% 1.52/1.29 tff(meritage_type, type, (
% 1.52/1.29 meritage: $i > $o)).
% 1.52/1.29 tff(kathrynkennedylateral_type, type, (
% 1.52/1.29 kathrynkennedylateral: $i)).
% 1.52/1.29 tff(meritage_aux_type, type, (
% 1.52/1.29 meritage_aux: $i > $o)).
% 1.52/1.29 tff(winesugar_type, type, (
% 1.52/1.29 winesugar: $i > $o)).
% 1.52/1.29 tff(sweet_type, type, (
% 1.52/1.29 sweet: $i)).
% 1.52/1.29 tff(winesugar_aux_type, type, (
% 1.52/1.29 winesugar_aux: $i > $o)).
% 1.52/1.29 tff(sancerre_type, type, (
% 1.52/1.29 sancerre: $i > $o)).
% 1.52/1.29 tff(closdelapoussiesancerre_type, type, (
% 1.52/1.29 closdelapoussiesancerre: $i)).
% 1.52/1.29 tff(sancerre_aux_type, type, (
% 1.52/1.29 sancerre_aux: $i > $o)).
% 1.52/1.29 tff(rosewine_type, type, (
% 1.52/1.30 rosewine: $i > $o)).
% 1.52/1.30 tff(q15_type, type, (
% 1.52/1.30 q15: $i > $o)).
% 1.52/1.30 tff(winedescriptor_type, type, (
% 1.52/1.30 winedescriptor: $i > $o)).
% 1.52/1.30 tff(white_type, type, (
% 1.52/1.30 white: $i)).
% 1.52/1.30 tff(winecolor_type, type, (
% 1.52/1.30 winecolor: $i > $o)).
% 1.52/1.30 tff(winecolor_aux_type, type, (
% 1.52/1.30 winecolor_aux: $i > $o)).
% 1.52/1.30 tff(wineflavor_type, type, (
% 1.52/1.30 wineflavor: $i > $o)).
% 1.52/1.30 tff(delicate_type, type, (
% 1.52/1.30 delicate: $i)).
% 1.52/1.30 tff(wineflavor_aux_type, type, (
% 1.52/1.30 wineflavor_aux: $i > $o)).
% 1.52/1.30 tff(winegrape_type, type, (
% 1.52/1.30 winegrape: $i > $o)).
% 1.52/1.30 tff(petitesyrahgrape_type, type, (
% 1.52/1.30 petitesyrahgrape: $i)).
% 1.52/1.30 tff(winegrape_aux_type, type, (
% 1.52/1.30 winegrape_aux: $i > $o)).
% 1.52/1.30 tff(vintage_type, type, (
% 1.52/1.30 vintage: $i > $o)).
% 1.52/1.30 tff(vintageyear_type, type, (
% 1.52/1.30 vintageyear: $i > $o)).
% 1.52/1.30 tff(vintageyear_aux_type, type, (
% 1.52/1.30 vintageyear_aux: $i > $o)).
% 1.52/1.30 tff(merlot_type, type, (
% 1.52/1.30 merlot: $i > $o)).
% 1.52/1.30 tff(garyfarrellmerlot_type, type, (
% 1.52/1.30 garyfarrellmerlot: $i)).
% 1.52/1.30 tff(merlot_aux_type, type, (
% 1.52/1.30 merlot_aux: $i > $o)).
% 1.52/1.30 tff(produceswine_type, type, (
% 1.52/1.30 produceswine: ( $i * $i ) > $o)).
% 1.52/1.30 tff(selaksicewine_type, type, (
% 1.52/1.30 selaksicewine: $i)).
% 1.52/1.30 tff(icewine_type, type, (
% 1.52/1.30 icewine: $i > $o)).
% 1.52/1.30 tff(icewine_aux_type, type, (
% 1.52/1.30 icewine_aux: $i > $o)).
% 1.52/1.30 tff(italianwine_type, type, (
% 1.52/1.30 italianwine: $i > $o)).
% 1.52/1.30 tff(chianticlassico_type, type, (
% 1.52/1.30 chianticlassico: $i)).
% 1.52/1.30 tff(chianti_type, type, (
% 1.52/1.30 chianti: $i > $o)).
% 1.52/1.30 tff(chianti_aux_type, type, (
% 1.52/1.30 chianti_aux: $i > $o)).
% 1.52/1.30 tff(grape_type, type, (
% 1.52/1.30 grape: $i > $o)).
% 1.52/1.30 tff(germanwine_type, type, (
% 1.52/1.30 germanwine: $i > $o)).
% 1.52/1.30 tff(q50_type, type, (
% 1.52/1.30 q50: $i > $o)).
% 1.52/1.30 tff(ot____nom17_type, type, (
% 1.52/1.30 ot____nom17: $i > $o)).
% 1.52/1.30 tff(germanyregion_type, type, (
% 1.52/1.30 germanyregion: $i)).
% 1.52/1.30 tff(ot____nom17_aux_type, type, (
% 1.52/1.30 ot____nom17_aux: $i > $o)).
% 1.52/1.30 tff(gamay_type, type, (
% 1.52/1.30 gamay: $i > $o)).
% 1.52/1.30 tff(chateaumorgonbeaujolais_type, type, (
% 1.52/1.30 chateaumorgonbeaujolais: $i)).
% 1.52/1.30 tff(q14_type, type, (
% 1.52/1.30 q14: $i > $o)).
% 1.52/1.30 tff(beaujolais_type, type, (
% 1.52/1.30 beaujolais: $i > $o)).
% 1.52/1.30 tff(beaujolais_aux_type, type, (
% 1.52/1.30 beaujolais_aux: $i > $o)).
% 1.52/1.30 tff(fullbodiedwine_type, type, (
% 1.52/1.30 fullbodiedwine: $i > $o)).
% 1.52/1.30 tff(formanchardonnay_type, type, (
% 1.52/1.30 formanchardonnay: $i)).
% 1.52/1.30 tff(chardonnay_type, type, (
% 1.52/1.30 chardonnay: $i > $o)).
% 1.52/1.30 tff(chardonnay_aux_type, type, (
% 1.52/1.30 chardonnay_aux: $i > $o)).
% 1.52/1.30 tff(ot____nom45_type, type, (
% 1.52/1.30 ot____nom45: $i > $o)).
% 1.52/1.30 tff(full_type, type, (
% 1.52/1.30 full: $i)).
% 1.52/1.30 tff(ot____nom45_aux_type, type, (
% 1.52/1.30 ot____nom45_aux: $i > $o)).
% 1.52/1.30 tff(hasbody_type, type, (
% 1.52/1.30 hasbody: ( $i * $i ) > $o)).
% 1.52/1.30 tff(hasbody_aux_type, type, (
% 1.52/1.30 hasbody_aux: ( $i * $i ) > $o)).
% 1.52/1.30 tff(drywine_type, type, (
% 1.52/1.30 drywine: $i > $o)).
% 1.52/1.30 tff(q46_type, type, (
% 1.52/1.30 q46: $i > $o)).
% 1.52/1.30 tff(ot____nom12_type, type, (
% 1.52/1.30 ot____nom12: $i > $o)).
% 1.52/1.30 tff(ot____nom12_aux_type, type, (
% 1.52/1.30 ot____nom12_aux: $i > $o)).
% 1.52/1.30 tff(drywhitewine_type, type, (
% 1.52/1.30 drywhitewine: $i > $o)).
% 1.52/1.30 tff(winery_type, type, (
% 1.52/1.30 winery: $i > $o)).
% 1.52/1.30 tff(seanthackrey_type, type, (
% 1.52/1.30 seanthackrey: $i)).
% 1.52/1.30 tff(winery_aux_type, type, (
% 1.52/1.30 winery_aux: $i > $o)).
% 1.52/1.30 tff(whitebordeaux_type, type, (
% 1.52/1.30 whitebordeaux: $i > $o)).
% 1.52/1.30 tff(q21_type, type, (
% 1.52/1.30 q21: $i > $o)).
% 1.52/1.30 tff(q12_type, type, (
% 1.52/1.30 q12: $i > $o)).
% 1.52/1.30 tff(whiteburgundy_type, type, (
% 1.52/1.30 whiteburgundy: $i > $o)).
% 1.52/1.30 tff(whiteburgundy_aux_type, type, (
% 1.52/1.30 whiteburgundy_aux: $i > $o)).
% 1.52/1.30 tff(whiteloire_type, type, (
% 1.52/1.30 whiteloire: $i > $o)).
% 1.52/1.30 tff(ot____nom5_type, type, (
% 1.52/1.30 ot____nom5: $i > $o)).
% 1.52/1.30 tff(hascolor_type, type, (
% 1.52/1.30 hascolor: ( $i * $i ) > $o)).
% 1.52/1.30 tff(q31_type, type, (
% 1.52/1.30 q31: $i > $o)).
% 1.52/1.30 tff(whitenonsweetwine_type, type, (
% 1.52/1.30 whitenonsweetwine: $i > $o)).
% 1.52/1.30 tff(whitetablewine_type, type, (
% 1.52/1.30 whitetablewine: $i > $o)).
% 1.52/1.30 tff(kalincellarssemillon_type, type, (
% 1.52/1.30 kalincellarssemillon: $i)).
% 1.52/1.30 tff(semillon_type, type, (
% 1.52/1.30 semillon: $i > $o)).
% 1.52/1.30 tff(semillon_aux_type, type, (
% 1.52/1.30 semillon_aux: $i > $o)).
% 1.52/1.30 tff(semillonorsauvignonblanc_type, type, (
% 1.52/1.30 semillonorsauvignonblanc: $i > $o)).
% 1.52/1.30 tff(formancabernetsauvignon_type, type, (
% 1.52/1.30 formancabernetsauvignon: $i)).
% 1.52/1.30 tff(cabernetsauvignon_type, type, (
% 1.52/1.30 cabernetsauvignon: $i > $o)).
% 1.52/1.30 tff(cabernetsauvignon_aux_type, type, (
% 1.52/1.30 cabernetsauvignon_aux: $i > $o)).
% 1.52/1.30 tff(hasflavor_type, type, (
% 1.52/1.30 hasflavor: ( $i * $i ) > $o)).
% 1.52/1.30 tff(moderate_type, type, (
% 1.52/1.30 moderate: $i)).
% 1.52/1.30 tff(hasflavor_aux_type, type, (
% 1.52/1.30 hasflavor_aux: ( $i * $i ) > $o)).
% 1.52/1.30 tff(hascolor_aux_type, type, (
% 1.52/1.30 hascolor_aux: ( $i * $i ) > $o)).
% 1.52/1.30 tff(winebody_type, type, (
% 1.52/1.30 winebody: $i > $o)).
% 1.52/1.30 tff(light_type, type, (
% 1.52/1.30 light: $i)).
% 1.52/1.30 tff(winebody_aux_type, type, (
% 1.52/1.30 winebody_aux: $i > $o)).
% 1.52/1.30 tff(winetaste_type, type, (
% 1.52/1.30 winetaste: $i > $o)).
% 1.52/1.30 tff(zinfandel_type, type, (
% 1.52/1.30 zinfandel: $i > $o)).
% 1.52/1.30 tff(elysezinfandel_type, type, (
% 1.52/1.30 elysezinfandel: $i)).
% 1.52/1.30 tff(zinfandel_aux_type, type, (
% 1.52/1.30 zinfandel_aux: $i > $o)).
% 1.52/1.30 tff(medium_type, type, (
% 1.52/1.30 medium: $i)).
% 1.52/1.30 tff(dryredwine_type, type, (
% 1.52/1.30 dryredwine: $i > $o)).
% 1.52/1.30 tff(cotturizinfandel_type, type, (
% 1.52/1.30 cotturizinfandel: $i)).
% 1.52/1.30 tff(dryriesling_type, type, (
% 1.52/1.30 dryriesling: $i > $o)).
% 1.52/1.30 tff(mountadamriesling_type, type, (
% 1.52/1.30 mountadamriesling: $i)).
% 1.52/1.30 tff(dryriesling_aux_type, type, (
% 1.52/1.30 dryriesling_aux: $i > $o)).
% 1.52/1.30 tff(sauvignonblanc_type, type, (
% 1.52/1.30 sauvignonblanc: $i > $o)).
% 1.52/1.30 tff(corbansprivatebinsauvignonblanc_type, type, (
% 1.52/1.30 corbansprivatebinsauvignonblanc: $i)).
% 1.52/1.30 tff(sauvignonblanc_aux_type, type, (
% 1.52/1.30 sauvignonblanc_aux: $i > $o)).
% 1.52/1.30 tff(congressspringssemillon_type, type, (
% 1.52/1.30 congressspringssemillon: $i)).
% 1.52/1.30 tff(corbanssauvignonblanc_type, type, (
% 1.52/1.30 corbanssauvignonblanc: $i)).
% 1.52/1.30 tff(dessertwine_type, type, (
% 1.52/1.30 dessertwine: $i > $o)).
% 1.52/1.30 tff(whitehalllaneprimavera_type, type, (
% 1.52/1.30 whitehalllaneprimavera: $i)).
% 1.52/1.30 tff(dessertwine_aux_type, type, (
% 1.52/1.30 dessertwine_aux: $i > $o)).
% 1.52/1.30 tff(cheninblanc_type, type, (
% 1.52/1.30 cheninblanc: $i > $o)).
% 1.52/1.30 tff(foxencheninblanc_type, type, (
% 1.52/1.30 foxencheninblanc: $i)).
% 1.52/1.30 tff(cheninblanc_aux_type, type, (
% 1.52/1.30 cheninblanc_aux: $i > $o)).
% 1.52/1.30 tff(mariettacabernetsauvignon_type, type, (
% 1.52/1.30 mariettacabernetsauvignon: $i)).
% 1.52/1.30 tff(cabernetfranc_type, type, (
% 1.52/1.30 cabernetfranc: $i > $o)).
% 1.52/1.30 tff(whitehalllanecabernetfranc_type, type, (
% 1.52/1.30 whitehalllanecabernetfranc: $i)).
% 1.52/1.30 tff(cabernetfranc_aux_type, type, (
% 1.52/1.30 cabernetfranc_aux: $i > $o)).
% 1.52/1.30 tff(burgundy_type, type, (
% 1.52/1.30 burgundy: $i > $o)).
% 1.52/1.30 tff(americanwine_type, type, (
% 1.52/1.30 americanwine: $i > $o)).
% 1.52/1.30 tff(q27_type, type, (
% 1.52/1.30 q27: $i > $o)).
% 1.52/1.30 tff(ot____nom38_type, type, (
% 1.52/1.30 ot____nom38: $i > $o)).
% 1.52/1.30 tff(sonomaregion_type, type, (
% 1.52/1.30 sonomaregion: $i)).
% 1.52/1.30 tff(q26_type, type, (
% 1.52/1.30 q26: $i > $o)).
% 1.52/1.30 tff(ot____nom38_aux_type, type, (
% 1.52/1.30 ot____nom38_aux: $i > $o)).
% 1.52/1.30 tff(californiawine_type, type, (
% 1.52/1.30 californiawine: $i > $o)).
% 1.52/1.30 tff(q48_type, type, (
% 1.52/1.30 q48: $i > $o)).
% 1.52/1.30 tff(ot____nom15_type, type, (
% 1.52/1.30 ot____nom15: $i > $o)).
% 1.52/1.30 tff(ot____nom15_aux_type, type, (
% 1.52/1.30 ot____nom15_aux: $i > $o)).
% 1.52/1.30 tff(1,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : refl(((~locatedin_aux(X, Y)) | locatedin(X, Y)) <=> ((~locatedin_aux(X, Y)) | locatedin(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(2,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y)) <=> ![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[1])).
% 1.52/1.30 tff(3,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y)) <=> ![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(4,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : rewrite((locatedin_aux(X, Y) => locatedin(X, Y)) <=> ((~locatedin_aux(X, Y)) | locatedin(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(5,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (locatedin_aux(X, Y) => locatedin(X, Y)) <=> ![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[4])).
% 1.52/1.30 tff(6,axiom,(![X: $i, Y: $i] : (locatedin_aux(X, Y) => locatedin(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula2')).
% 1.52/1.30 tff(7,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.52/1.30 tff(8,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[7, 3])).
% 1.52/1.30 tff(9,plain,(
% 1.52/1.30 ![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))),
% 1.52/1.30 inference(skolemize,[status(sab)],[8])).
% 1.52/1.30 tff(10,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[9, 2])).
% 1.52/1.30 tff(11,plain,
% 1.52/1.30 (locatedin_aux(californiaregion, usregion) <=> locatedin_aux(californiaregion, usregion)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(12,axiom,(locatedin_aux(californiaregion, usregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula178')).
% 1.52/1.30 tff(13,plain,
% 1.52/1.30 (locatedin_aux(californiaregion, usregion)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[12, 11])).
% 1.52/1.30 tff(14,plain,
% 1.52/1.30 (((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(californiaregion, usregion)) | locatedin(californiaregion, usregion))) <=> ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(californiaregion, usregion)) | locatedin(californiaregion, usregion))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(15,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(californiaregion, usregion)) | locatedin(californiaregion, usregion))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(16,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(californiaregion, usregion)) | locatedin(californiaregion, usregion)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[15, 14])).
% 1.52/1.30 tff(17,plain,
% 1.52/1.30 (locatedin(californiaregion, usregion)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[16, 13, 10])).
% 1.52/1.30 tff(18,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : refl(((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y)) <=> ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(19,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y)) <=> ![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[18])).
% 1.52/1.30 tff(20,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y)) <=> ![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(21,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : rewrite((madefromgrape_aux(X, Y) => madefromgrape(X, Y)) <=> ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(22,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (madefromgrape_aux(X, Y) => madefromgrape(X, Y)) <=> ![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[21])).
% 1.52/1.30 tff(23,axiom,(![X: $i, Y: $i] : (madefromgrape_aux(X, Y) => madefromgrape(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula1')).
% 1.52/1.30 tff(24,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[23, 22])).
% 1.52/1.30 tff(25,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[24, 20])).
% 1.52/1.30 tff(26,plain,(
% 1.52/1.30 ![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))),
% 1.52/1.30 inference(skolemize,[status(sab)],[25])).
% 1.52/1.30 tff(27,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[26, 19])).
% 1.52/1.30 tff(28,plain,
% 1.52/1.30 (madefromgrape_aux(chateaudychemsauterne, semillongrape) <=> madefromgrape_aux(chateaudychemsauterne, semillongrape)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(29,axiom,(madefromgrape_aux(chateaudychemsauterne, semillongrape)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula243')).
% 1.52/1.30 tff(30,plain,
% 1.52/1.30 (madefromgrape_aux(chateaudychemsauterne, semillongrape)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[29, 28])).
% 1.52/1.30 tff(31,plain,
% 1.52/1.30 (((~![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))) | ((~madefromgrape_aux(chateaudychemsauterne, semillongrape)) | madefromgrape(chateaudychemsauterne, semillongrape))) <=> ((~![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))) | (~madefromgrape_aux(chateaudychemsauterne, semillongrape)) | madefromgrape(chateaudychemsauterne, semillongrape))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(32,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))) | ((~madefromgrape_aux(chateaudychemsauterne, semillongrape)) | madefromgrape(chateaudychemsauterne, semillongrape))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(33,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~madefromgrape_aux(X, Y)) | madefromgrape(X, Y))) | (~madefromgrape_aux(chateaudychemsauterne, semillongrape)) | madefromgrape(chateaudychemsauterne, semillongrape)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[32, 31])).
% 1.52/1.30 tff(34,plain,
% 1.52/1.30 (madefromgrape(chateaudychemsauterne, semillongrape)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[33, 30, 27])).
% 1.52/1.30 tff(35,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : refl(((~madefromgrape(X, Y)) | madefromfruit(X, Y)) <=> ((~madefromgrape(X, Y)) | madefromfruit(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(36,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y)) <=> ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[35])).
% 1.52/1.30 tff(37,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y)) <=> ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(38,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : rewrite((madefromgrape(X, Y) => madefromfruit(X, Y)) <=> ((~madefromgrape(X, Y)) | madefromfruit(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(39,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (madefromgrape(X, Y) => madefromfruit(X, Y)) <=> ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[38])).
% 1.52/1.30 tff(40,axiom,(![X: $i, Y: $i] : (madefromgrape(X, Y) => madefromfruit(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula888')).
% 1.52/1.30 tff(41,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[40, 39])).
% 1.52/1.30 tff(42,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[41, 37])).
% 1.52/1.30 tff(43,plain,(
% 1.52/1.30 ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))),
% 1.52/1.30 inference(skolemize,[status(sab)],[42])).
% 1.52/1.30 tff(44,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[43, 36])).
% 1.52/1.30 tff(45,plain,
% 1.52/1.30 (((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))) | ((~madefromgrape(chateaudychemsauterne, semillongrape)) | madefromfruit(chateaudychemsauterne, semillongrape))) <=> ((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))) | (~madefromgrape(chateaudychemsauterne, semillongrape)) | madefromfruit(chateaudychemsauterne, semillongrape))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(46,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))) | ((~madefromgrape(chateaudychemsauterne, semillongrape)) | madefromfruit(chateaudychemsauterne, semillongrape))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(47,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madefromfruit(X, Y))) | (~madefromgrape(chateaudychemsauterne, semillongrape)) | madefromfruit(chateaudychemsauterne, semillongrape)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[46, 45])).
% 1.52/1.30 tff(48,plain,
% 1.52/1.30 (madefromfruit(chateaudychemsauterne, semillongrape)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[47, 44, 34])).
% 1.52/1.30 tff(49,assumption,(![Y: $i, X: $i] : (~madefromfruit(X, Y))), introduced(assumption)).
% 1.52/1.30 tff(50,plain,
% 1.52/1.30 ((~![Y: $i, X: $i] : (~madefromfruit(X, Y))) | (~madefromfruit(chateaudychemsauterne, semillongrape))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(51,plain,
% 1.52/1.30 ($false),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[50, 49, 48])).
% 1.52/1.30 tff(52,plain,(~![Y: $i, X: $i] : (~madefromfruit(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.30 tff(53,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : refl(((~madefromgrape(X, Y)) | madeintowine(Y, X)) <=> ((~madefromgrape(X, Y)) | madeintowine(Y, X)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(54,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X)) <=> ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[53])).
% 1.52/1.30 tff(55,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X)) <=> ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(56,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : rewrite((madefromgrape(X, Y) => madeintowine(Y, X)) <=> ((~madefromgrape(X, Y)) | madeintowine(Y, X)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(57,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (madefromgrape(X, Y) => madeintowine(Y, X)) <=> ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[56])).
% 1.52/1.30 tff(58,axiom,(![X: $i, Y: $i] : (madefromgrape(X, Y) => madeintowine(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula911')).
% 1.52/1.30 tff(59,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[58, 57])).
% 1.52/1.30 tff(60,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[59, 55])).
% 1.52/1.30 tff(61,plain,(
% 1.52/1.30 ![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))),
% 1.52/1.30 inference(skolemize,[status(sab)],[60])).
% 1.52/1.30 tff(62,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[61, 54])).
% 1.52/1.30 tff(63,plain,
% 1.52/1.30 (((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))) | ((~madefromgrape(chateaudychemsauterne, semillongrape)) | madeintowine(semillongrape, chateaudychemsauterne))) <=> ((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))) | (~madefromgrape(chateaudychemsauterne, semillongrape)) | madeintowine(semillongrape, chateaudychemsauterne))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(64,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))) | ((~madefromgrape(chateaudychemsauterne, semillongrape)) | madeintowine(semillongrape, chateaudychemsauterne))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(65,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~madefromgrape(X, Y)) | madeintowine(Y, X))) | (~madefromgrape(chateaudychemsauterne, semillongrape)) | madeintowine(semillongrape, chateaudychemsauterne)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[64, 63])).
% 1.52/1.30 tff(66,plain,
% 1.52/1.30 (madeintowine(semillongrape, chateaudychemsauterne)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[65, 62, 34])).
% 1.52/1.30 tff(67,assumption,(![Y: $i, X: $i] : (~madeintowine(X, Y))), introduced(assumption)).
% 1.52/1.30 tff(68,plain,
% 1.52/1.30 ((~![Y: $i, X: $i] : (~madeintowine(X, Y))) | (~madeintowine(semillongrape, chateaudychemsauterne))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(69,plain,
% 1.52/1.30 ($false),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[68, 67, 66])).
% 1.52/1.30 tff(70,plain,(~![Y: $i, X: $i] : (~madeintowine(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.30 tff(71,plain,
% 1.52/1.30 (^[X: $i] : refl((anjou(X) | (~anjou_aux(X))) <=> (anjou(X) | (~anjou_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(72,plain,
% 1.52/1.30 (![X: $i] : (anjou(X) | (~anjou_aux(X))) <=> ![X: $i] : (anjou(X) | (~anjou_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[71])).
% 1.52/1.30 tff(73,plain,
% 1.52/1.30 (![X: $i] : (anjou(X) | (~anjou_aux(X))) <=> ![X: $i] : (anjou(X) | (~anjou_aux(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(74,plain,
% 1.52/1.30 (^[X: $i] : rewrite((anjou_aux(X) => anjou(X)) <=> (anjou(X) | (~anjou_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(75,plain,
% 1.52/1.30 (![X: $i] : (anjou_aux(X) => anjou(X)) <=> ![X: $i] : (anjou(X) | (~anjou_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[74])).
% 1.52/1.30 tff(76,axiom,(![X: $i] : (anjou_aux(X) => anjou(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula79')).
% 1.52/1.30 tff(77,plain,
% 1.52/1.30 (![X: $i] : (anjou(X) | (~anjou_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[76, 75])).
% 1.52/1.30 tff(78,plain,
% 1.52/1.30 (![X: $i] : (anjou(X) | (~anjou_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[77, 73])).
% 1.52/1.30 tff(79,plain,(
% 1.52/1.30 ![X: $i] : (anjou(X) | (~anjou_aux(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[78])).
% 1.52/1.30 tff(80,plain,
% 1.52/1.30 (![X: $i] : (anjou(X) | (~anjou_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[79, 72])).
% 1.52/1.30 tff(81,plain,
% 1.52/1.30 (anjou_aux(rosedanjou) <=> anjou_aux(rosedanjou)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(82,axiom,(anjou_aux(rosedanjou)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula423')).
% 1.52/1.30 tff(83,plain,
% 1.52/1.30 (anjou_aux(rosedanjou)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[82, 81])).
% 1.52/1.30 tff(84,plain,
% 1.52/1.30 (((~![X: $i] : (anjou(X) | (~anjou_aux(X)))) | (anjou(rosedanjou) | (~anjou_aux(rosedanjou)))) <=> ((~![X: $i] : (anjou(X) | (~anjou_aux(X)))) | anjou(rosedanjou) | (~anjou_aux(rosedanjou)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(85,plain,
% 1.52/1.30 ((~![X: $i] : (anjou(X) | (~anjou_aux(X)))) | (anjou(rosedanjou) | (~anjou_aux(rosedanjou)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(86,plain,
% 1.52/1.30 ((~![X: $i] : (anjou(X) | (~anjou_aux(X)))) | anjou(rosedanjou) | (~anjou_aux(rosedanjou))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[85, 84])).
% 1.52/1.30 tff(87,plain,
% 1.52/1.30 (anjou(rosedanjou)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[86, 83, 80])).
% 1.52/1.30 tff(88,plain,
% 1.52/1.30 (^[X: $i] : refl((loire(X) | (~anjou(X))) <=> (loire(X) | (~anjou(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(89,plain,
% 1.52/1.30 (![X: $i] : (loire(X) | (~anjou(X))) <=> ![X: $i] : (loire(X) | (~anjou(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[88])).
% 1.52/1.30 tff(90,plain,
% 1.52/1.30 (![X: $i] : (loire(X) | (~anjou(X))) <=> ![X: $i] : (loire(X) | (~anjou(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(91,plain,
% 1.52/1.30 (^[X: $i] : rewrite((anjou(X) => loire(X)) <=> (loire(X) | (~anjou(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(92,plain,
% 1.52/1.30 (![X: $i] : (anjou(X) => loire(X)) <=> ![X: $i] : (loire(X) | (~anjou(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[91])).
% 1.52/1.30 tff(93,axiom,(![X: $i] : (anjou(X) => loire(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula482')).
% 1.52/1.30 tff(94,plain,
% 1.52/1.30 (![X: $i] : (loire(X) | (~anjou(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[93, 92])).
% 1.52/1.30 tff(95,plain,
% 1.52/1.30 (![X: $i] : (loire(X) | (~anjou(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[94, 90])).
% 1.52/1.30 tff(96,plain,(
% 1.52/1.30 ![X: $i] : (loire(X) | (~anjou(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[95])).
% 1.52/1.30 tff(97,plain,
% 1.52/1.30 (![X: $i] : (loire(X) | (~anjou(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[96, 89])).
% 1.52/1.30 tff(98,plain,
% 1.52/1.30 (((~![X: $i] : (loire(X) | (~anjou(X)))) | (loire(rosedanjou) | (~anjou(rosedanjou)))) <=> ((~![X: $i] : (loire(X) | (~anjou(X)))) | loire(rosedanjou) | (~anjou(rosedanjou)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(99,plain,
% 1.52/1.30 ((~![X: $i] : (loire(X) | (~anjou(X)))) | (loire(rosedanjou) | (~anjou(rosedanjou)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(100,plain,
% 1.52/1.30 ((~![X: $i] : (loire(X) | (~anjou(X)))) | loire(rosedanjou) | (~anjou(rosedanjou))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[99, 98])).
% 1.52/1.30 tff(101,plain,
% 1.52/1.30 (loire(rosedanjou)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[100, 97, 87])).
% 1.52/1.30 tff(102,assumption,(![X: $i] : (~loire(X))), introduced(assumption)).
% 1.52/1.30 tff(103,plain,
% 1.52/1.30 ((~![X: $i] : (~loire(X))) | (~loire(rosedanjou))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(104,plain,
% 1.52/1.30 ($false),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[103, 102, 101])).
% 1.52/1.30 tff(105,plain,(~![X: $i] : (~loire(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.30 tff(106,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : refl(((~hasmaker_aux(X, Y)) | hasmaker(X, Y)) <=> ((~hasmaker_aux(X, Y)) | hasmaker(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(107,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y)) <=> ![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[106])).
% 1.52/1.30 tff(108,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y)) <=> ![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(109,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : rewrite((hasmaker_aux(X, Y) => hasmaker(X, Y)) <=> ((~hasmaker_aux(X, Y)) | hasmaker(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(110,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (hasmaker_aux(X, Y) => hasmaker(X, Y)) <=> ![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[109])).
% 1.52/1.30 tff(111,axiom,(![X: $i, Y: $i] : (hasmaker_aux(X, Y) => hasmaker(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula4')).
% 1.52/1.30 tff(112,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[111, 110])).
% 1.52/1.30 tff(113,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[112, 108])).
% 1.52/1.30 tff(114,plain,(
% 1.52/1.30 ![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))),
% 1.52/1.30 inference(skolemize,[status(sab)],[113])).
% 1.52/1.30 tff(115,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[114, 107])).
% 1.52/1.30 tff(116,plain,
% 1.52/1.30 (hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet) <=> hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(117,axiom,(hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula86')).
% 1.52/1.30 tff(118,plain,
% 1.52/1.30 (hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[117, 116])).
% 1.52/1.30 tff(119,plain,
% 1.52/1.30 (((~![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))) | ((~hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet)) | hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet))) <=> ((~![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))) | (~hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet)) | hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(120,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))) | ((~hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet)) | hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(121,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~hasmaker_aux(X, Y)) | hasmaker(X, Y))) | (~hasmaker_aux(pulignymontrachetwhiteburgundy, pulignymontrachet)) | hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[120, 119])).
% 1.52/1.30 tff(122,plain,
% 1.52/1.30 (hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[121, 118, 115])).
% 1.52/1.30 tff(123,assumption,(![Y: $i, X: $i] : (~hasmaker(X, Y))), introduced(assumption)).
% 1.52/1.30 tff(124,plain,
% 1.52/1.30 ((~![Y: $i, X: $i] : (~hasmaker(X, Y))) | (~hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(125,plain,
% 1.52/1.30 ($false),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[124, 123, 122])).
% 1.52/1.30 tff(126,plain,(~![Y: $i, X: $i] : (~hasmaker(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.30 tff(127,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : refl(((~hassugar_aux(X, Y)) | hassugar(X, Y)) <=> ((~hassugar_aux(X, Y)) | hassugar(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(128,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y)) <=> ![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[127])).
% 1.52/1.30 tff(129,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y)) <=> ![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(130,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : rewrite((hassugar_aux(X, Y) => hassugar(X, Y)) <=> ((~hassugar_aux(X, Y)) | hassugar(X, Y)))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(131,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (hassugar_aux(X, Y) => hassugar(X, Y)) <=> ![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[130])).
% 1.52/1.30 tff(132,axiom,(![X: $i, Y: $i] : (hassugar_aux(X, Y) => hassugar(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula3')).
% 1.52/1.30 tff(133,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[132, 131])).
% 1.52/1.30 tff(134,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[133, 129])).
% 1.52/1.30 tff(135,plain,(
% 1.52/1.30 ![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))),
% 1.52/1.30 inference(skolemize,[status(sab)],[134])).
% 1.52/1.30 tff(136,plain,
% 1.52/1.30 (![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[135, 128])).
% 1.52/1.30 tff(137,plain,
% 1.52/1.30 (hassugar_aux(pulignymontrachetwhiteburgundy, dry) <=> hassugar_aux(pulignymontrachetwhiteburgundy, dry)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(138,axiom,(hassugar_aux(pulignymontrachetwhiteburgundy, dry)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula138')).
% 1.52/1.30 tff(139,plain,
% 1.52/1.30 (hassugar_aux(pulignymontrachetwhiteburgundy, dry)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[138, 137])).
% 1.52/1.30 tff(140,plain,
% 1.52/1.30 (((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(pulignymontrachetwhiteburgundy, dry)) | hassugar(pulignymontrachetwhiteburgundy, dry))) <=> ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(pulignymontrachetwhiteburgundy, dry)) | hassugar(pulignymontrachetwhiteburgundy, dry))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(141,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(pulignymontrachetwhiteburgundy, dry)) | hassugar(pulignymontrachetwhiteburgundy, dry))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(142,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(pulignymontrachetwhiteburgundy, dry)) | hassugar(pulignymontrachetwhiteburgundy, dry)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[141, 140])).
% 1.52/1.30 tff(143,plain,
% 1.52/1.30 (hassugar(pulignymontrachetwhiteburgundy, dry)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[142, 139, 136])).
% 1.52/1.30 tff(144,assumption,(![Y: $i, X: $i] : (~hassugar(X, Y))), introduced(assumption)).
% 1.52/1.30 tff(145,plain,
% 1.52/1.30 ((~![Y: $i, X: $i] : (~hassugar(X, Y))) | (~hassugar(pulignymontrachetwhiteburgundy, dry))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(146,plain,
% 1.52/1.30 ($false),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[145, 144, 143])).
% 1.52/1.30 tff(147,plain,(~![Y: $i, X: $i] : (~hassugar(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.30 tff(148,plain,
% 1.52/1.30 (^[X: $i] : refl((pauillac(X) | (~pauillac_aux(X))) <=> (pauillac(X) | (~pauillac_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(149,plain,
% 1.52/1.30 (![X: $i] : (pauillac(X) | (~pauillac_aux(X))) <=> ![X: $i] : (pauillac(X) | (~pauillac_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[148])).
% 1.52/1.30 tff(150,plain,
% 1.52/1.30 (![X: $i] : (pauillac(X) | (~pauillac_aux(X))) <=> ![X: $i] : (pauillac(X) | (~pauillac_aux(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(151,plain,
% 1.52/1.30 (^[X: $i] : rewrite((pauillac_aux(X) => pauillac(X)) <=> (pauillac(X) | (~pauillac_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(152,plain,
% 1.52/1.30 (![X: $i] : (pauillac_aux(X) => pauillac(X)) <=> ![X: $i] : (pauillac(X) | (~pauillac_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[151])).
% 1.52/1.30 tff(153,axiom,(![X: $i] : (pauillac_aux(X) => pauillac(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula95')).
% 1.52/1.30 tff(154,plain,
% 1.52/1.30 (![X: $i] : (pauillac(X) | (~pauillac_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[153, 152])).
% 1.52/1.30 tff(155,plain,
% 1.52/1.30 (![X: $i] : (pauillac(X) | (~pauillac_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[154, 150])).
% 1.52/1.30 tff(156,plain,(
% 1.52/1.30 ![X: $i] : (pauillac(X) | (~pauillac_aux(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[155])).
% 1.52/1.30 tff(157,plain,
% 1.52/1.30 (![X: $i] : (pauillac(X) | (~pauillac_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[156, 149])).
% 1.52/1.30 tff(158,plain,
% 1.52/1.30 (pauillac_aux(chateaulafiterothschildpauillac) <=> pauillac_aux(chateaulafiterothschildpauillac)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(159,axiom,(pauillac_aux(chateaulafiterothschildpauillac)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula435')).
% 1.52/1.30 tff(160,plain,
% 1.52/1.30 (pauillac_aux(chateaulafiterothschildpauillac)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[159, 158])).
% 1.52/1.30 tff(161,plain,
% 1.52/1.30 (((~![X: $i] : (pauillac(X) | (~pauillac_aux(X)))) | (pauillac(chateaulafiterothschildpauillac) | (~pauillac_aux(chateaulafiterothschildpauillac)))) <=> ((~![X: $i] : (pauillac(X) | (~pauillac_aux(X)))) | pauillac(chateaulafiterothschildpauillac) | (~pauillac_aux(chateaulafiterothschildpauillac)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(162,plain,
% 1.52/1.30 ((~![X: $i] : (pauillac(X) | (~pauillac_aux(X)))) | (pauillac(chateaulafiterothschildpauillac) | (~pauillac_aux(chateaulafiterothschildpauillac)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(163,plain,
% 1.52/1.30 ((~![X: $i] : (pauillac(X) | (~pauillac_aux(X)))) | pauillac(chateaulafiterothschildpauillac) | (~pauillac_aux(chateaulafiterothschildpauillac))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[162, 161])).
% 1.52/1.30 tff(164,plain,
% 1.52/1.30 (pauillac(chateaulafiterothschildpauillac)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[163, 160, 157])).
% 1.52/1.30 tff(165,assumption,(![X: $i] : (~pauillac(X))), introduced(assumption)).
% 1.52/1.30 tff(166,plain,
% 1.52/1.30 ((~![X: $i] : (~pauillac(X))) | (~pauillac(chateaulafiterothschildpauillac))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(167,plain,
% 1.52/1.30 ($false),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[166, 165, 164])).
% 1.52/1.30 tff(168,plain,(~![X: $i] : (~pauillac(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.30 tff(169,plain,
% 1.52/1.30 (^[X: $i] : refl((muscadet(X) | (~muscadet_aux(X))) <=> (muscadet(X) | (~muscadet_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(170,plain,
% 1.52/1.30 (![X: $i] : (muscadet(X) | (~muscadet_aux(X))) <=> ![X: $i] : (muscadet(X) | (~muscadet_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[169])).
% 1.52/1.30 tff(171,plain,
% 1.52/1.30 (![X: $i] : (muscadet(X) | (~muscadet_aux(X))) <=> ![X: $i] : (muscadet(X) | (~muscadet_aux(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(172,plain,
% 1.52/1.30 (^[X: $i] : rewrite((muscadet_aux(X) => muscadet(X)) <=> (muscadet(X) | (~muscadet_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(173,plain,
% 1.52/1.30 (![X: $i] : (muscadet_aux(X) => muscadet(X)) <=> ![X: $i] : (muscadet(X) | (~muscadet_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[172])).
% 1.52/1.30 tff(174,axiom,(![X: $i] : (muscadet_aux(X) => muscadet(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula94')).
% 1.52/1.30 tff(175,plain,
% 1.52/1.30 (![X: $i] : (muscadet(X) | (~muscadet_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[174, 173])).
% 1.52/1.30 tff(176,plain,
% 1.52/1.30 (![X: $i] : (muscadet(X) | (~muscadet_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[175, 171])).
% 1.52/1.30 tff(177,plain,(
% 1.52/1.30 ![X: $i] : (muscadet(X) | (~muscadet_aux(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[176])).
% 1.52/1.30 tff(178,plain,
% 1.52/1.30 (![X: $i] : (muscadet(X) | (~muscadet_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[177, 170])).
% 1.52/1.30 tff(179,plain,
% 1.52/1.30 (muscadet_aux(sevreetmainemuscadet) <=> muscadet_aux(sevreetmainemuscadet)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(180,axiom,(muscadet_aux(sevreetmainemuscadet)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula410')).
% 1.52/1.30 tff(181,plain,
% 1.52/1.30 (muscadet_aux(sevreetmainemuscadet)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[180, 179])).
% 1.52/1.30 tff(182,plain,
% 1.52/1.30 (((~![X: $i] : (muscadet(X) | (~muscadet_aux(X)))) | (muscadet(sevreetmainemuscadet) | (~muscadet_aux(sevreetmainemuscadet)))) <=> ((~![X: $i] : (muscadet(X) | (~muscadet_aux(X)))) | muscadet(sevreetmainemuscadet) | (~muscadet_aux(sevreetmainemuscadet)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(183,plain,
% 1.52/1.30 ((~![X: $i] : (muscadet(X) | (~muscadet_aux(X)))) | (muscadet(sevreetmainemuscadet) | (~muscadet_aux(sevreetmainemuscadet)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(184,plain,
% 1.52/1.30 ((~![X: $i] : (muscadet(X) | (~muscadet_aux(X)))) | muscadet(sevreetmainemuscadet) | (~muscadet_aux(sevreetmainemuscadet))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[183, 182])).
% 1.52/1.30 tff(185,plain,
% 1.52/1.30 (muscadet(sevreetmainemuscadet)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[184, 181, 178])).
% 1.52/1.30 tff(186,plain,
% 1.52/1.30 (^[X: $i] : refl((q24(X) | (~muscadet(X))) <=> (q24(X) | (~muscadet(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(187,plain,
% 1.52/1.30 (![X: $i] : (q24(X) | (~muscadet(X))) <=> ![X: $i] : (q24(X) | (~muscadet(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[186])).
% 1.52/1.30 tff(188,plain,
% 1.52/1.30 (![X: $i] : (q24(X) | (~muscadet(X))) <=> ![X: $i] : (q24(X) | (~muscadet(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(189,plain,
% 1.52/1.30 (^[X: $i] : rewrite((muscadet(X) => q24(X)) <=> (q24(X) | (~muscadet(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(190,plain,
% 1.52/1.30 (![X: $i] : (muscadet(X) => q24(X)) <=> ![X: $i] : (q24(X) | (~muscadet(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[189])).
% 1.52/1.30 tff(191,axiom,(![X: $i] : (muscadet(X) => q24(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula189')).
% 1.52/1.30 tff(192,plain,
% 1.52/1.30 (![X: $i] : (q24(X) | (~muscadet(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[191, 190])).
% 1.52/1.30 tff(193,plain,
% 1.52/1.30 (![X: $i] : (q24(X) | (~muscadet(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[192, 188])).
% 1.52/1.30 tff(194,plain,(
% 1.52/1.30 ![X: $i] : (q24(X) | (~muscadet(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[193])).
% 1.52/1.30 tff(195,plain,
% 1.52/1.30 (![X: $i] : (q24(X) | (~muscadet(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[194, 187])).
% 1.52/1.30 tff(196,plain,
% 1.52/1.30 (((~![X: $i] : (q24(X) | (~muscadet(X)))) | (q24(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))) <=> ((~![X: $i] : (q24(X) | (~muscadet(X)))) | q24(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(197,plain,
% 1.52/1.30 ((~![X: $i] : (q24(X) | (~muscadet(X)))) | (q24(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(198,plain,
% 1.52/1.30 ((~![X: $i] : (q24(X) | (~muscadet(X)))) | q24(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[197, 196])).
% 1.52/1.30 tff(199,plain,
% 1.52/1.30 (q24(sevreetmainemuscadet)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[198, 195, 185])).
% 1.52/1.30 tff(200,plain,
% 1.52/1.30 (^[X: $i] : refl((pinotblanc(X) | (~q24(X))) <=> (pinotblanc(X) | (~q24(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(201,plain,
% 1.52/1.30 (![X: $i] : (pinotblanc(X) | (~q24(X))) <=> ![X: $i] : (pinotblanc(X) | (~q24(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[200])).
% 1.52/1.30 tff(202,plain,
% 1.52/1.30 (![X: $i] : (pinotblanc(X) | (~q24(X))) <=> ![X: $i] : (pinotblanc(X) | (~q24(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(203,plain,
% 1.52/1.30 (^[X: $i] : rewrite((q24(X) => pinotblanc(X)) <=> (pinotblanc(X) | (~q24(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(204,plain,
% 1.52/1.30 (![X: $i] : (q24(X) => pinotblanc(X)) <=> ![X: $i] : (pinotblanc(X) | (~q24(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[203])).
% 1.52/1.30 tff(205,axiom,(![X: $i] : (q24(X) => pinotblanc(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula505')).
% 1.52/1.30 tff(206,plain,
% 1.52/1.30 (![X: $i] : (pinotblanc(X) | (~q24(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[205, 204])).
% 1.52/1.30 tff(207,plain,
% 1.52/1.30 (![X: $i] : (pinotblanc(X) | (~q24(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[206, 202])).
% 1.52/1.30 tff(208,plain,(
% 1.52/1.30 ![X: $i] : (pinotblanc(X) | (~q24(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[207])).
% 1.52/1.30 tff(209,plain,
% 1.52/1.30 (![X: $i] : (pinotblanc(X) | (~q24(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[208, 201])).
% 1.52/1.30 tff(210,plain,
% 1.52/1.30 (((~![X: $i] : (pinotblanc(X) | (~q24(X)))) | (pinotblanc(sevreetmainemuscadet) | (~q24(sevreetmainemuscadet)))) <=> ((~![X: $i] : (pinotblanc(X) | (~q24(X)))) | pinotblanc(sevreetmainemuscadet) | (~q24(sevreetmainemuscadet)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(211,plain,
% 1.52/1.30 ((~![X: $i] : (pinotblanc(X) | (~q24(X)))) | (pinotblanc(sevreetmainemuscadet) | (~q24(sevreetmainemuscadet)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(212,plain,
% 1.52/1.30 ((~![X: $i] : (pinotblanc(X) | (~q24(X)))) | pinotblanc(sevreetmainemuscadet) | (~q24(sevreetmainemuscadet))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[211, 210])).
% 1.52/1.30 tff(213,plain,
% 1.52/1.30 (pinotblanc(sevreetmainemuscadet)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[212, 209, 199])).
% 1.52/1.30 tff(214,assumption,(![X: $i] : (~pinotblanc(X))), introduced(assumption)).
% 1.52/1.30 tff(215,plain,
% 1.52/1.30 ((~![X: $i] : (~pinotblanc(X))) | (~pinotblanc(sevreetmainemuscadet))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(216,plain,
% 1.52/1.30 ($false),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[215, 214, 213])).
% 1.52/1.30 tff(217,plain,(~![X: $i] : (~pinotblanc(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.30 tff(218,plain,
% 1.52/1.30 (^[X: $i] : refl((sauternes(X) | (~sauternes_aux(X))) <=> (sauternes(X) | (~sauternes_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(219,plain,
% 1.52/1.30 (![X: $i] : (sauternes(X) | (~sauternes_aux(X))) <=> ![X: $i] : (sauternes(X) | (~sauternes_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[218])).
% 1.52/1.30 tff(220,plain,
% 1.52/1.30 (![X: $i] : (sauternes(X) | (~sauternes_aux(X))) <=> ![X: $i] : (sauternes(X) | (~sauternes_aux(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(221,plain,
% 1.52/1.30 (^[X: $i] : rewrite((sauternes_aux(X) => sauternes(X)) <=> (sauternes(X) | (~sauternes_aux(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(222,plain,
% 1.52/1.30 (![X: $i] : (sauternes_aux(X) => sauternes(X)) <=> ![X: $i] : (sauternes(X) | (~sauternes_aux(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[221])).
% 1.52/1.30 tff(223,axiom,(![X: $i] : (sauternes_aux(X) => sauternes(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula103')).
% 1.52/1.30 tff(224,plain,
% 1.52/1.30 (![X: $i] : (sauternes(X) | (~sauternes_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[223, 222])).
% 1.52/1.30 tff(225,plain,
% 1.52/1.30 (![X: $i] : (sauternes(X) | (~sauternes_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[224, 220])).
% 1.52/1.30 tff(226,plain,(
% 1.52/1.30 ![X: $i] : (sauternes(X) | (~sauternes_aux(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[225])).
% 1.52/1.30 tff(227,plain,
% 1.52/1.30 (![X: $i] : (sauternes(X) | (~sauternes_aux(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[226, 219])).
% 1.52/1.30 tff(228,plain,
% 1.52/1.30 (sauternes_aux(chateaudychemsauterne) <=> sauternes_aux(chateaudychemsauterne)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(229,axiom,(sauternes_aux(chateaudychemsauterne)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula481')).
% 1.52/1.30 tff(230,plain,
% 1.52/1.30 (sauternes_aux(chateaudychemsauterne)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[229, 228])).
% 1.52/1.30 tff(231,plain,
% 1.52/1.30 (((~![X: $i] : (sauternes(X) | (~sauternes_aux(X)))) | (sauternes(chateaudychemsauterne) | (~sauternes_aux(chateaudychemsauterne)))) <=> ((~![X: $i] : (sauternes(X) | (~sauternes_aux(X)))) | sauternes(chateaudychemsauterne) | (~sauternes_aux(chateaudychemsauterne)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(232,plain,
% 1.52/1.30 ((~![X: $i] : (sauternes(X) | (~sauternes_aux(X)))) | (sauternes(chateaudychemsauterne) | (~sauternes_aux(chateaudychemsauterne)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(233,plain,
% 1.52/1.30 ((~![X: $i] : (sauternes(X) | (~sauternes_aux(X)))) | sauternes(chateaudychemsauterne) | (~sauternes_aux(chateaudychemsauterne))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[232, 231])).
% 1.52/1.30 tff(234,plain,
% 1.52/1.30 (sauternes(chateaudychemsauterne)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[233, 230, 227])).
% 1.52/1.30 tff(235,plain,
% 1.52/1.30 (^[X: $i] : refl((lateharvest(X) | (~sauternes(X))) <=> (lateharvest(X) | (~sauternes(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(236,plain,
% 1.52/1.30 (![X: $i] : (lateharvest(X) | (~sauternes(X))) <=> ![X: $i] : (lateharvest(X) | (~sauternes(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[235])).
% 1.52/1.30 tff(237,plain,
% 1.52/1.30 (![X: $i] : (lateharvest(X) | (~sauternes(X))) <=> ![X: $i] : (lateharvest(X) | (~sauternes(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(238,plain,
% 1.52/1.30 (^[X: $i] : rewrite((sauternes(X) => lateharvest(X)) <=> (lateharvest(X) | (~sauternes(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(239,plain,
% 1.52/1.30 (![X: $i] : (sauternes(X) => lateharvest(X)) <=> ![X: $i] : (lateharvest(X) | (~sauternes(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[238])).
% 1.52/1.30 tff(240,axiom,(![X: $i] : (sauternes(X) => lateharvest(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula477')).
% 1.52/1.30 tff(241,plain,
% 1.52/1.30 (![X: $i] : (lateharvest(X) | (~sauternes(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[240, 239])).
% 1.52/1.30 tff(242,plain,
% 1.52/1.30 (![X: $i] : (lateharvest(X) | (~sauternes(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[241, 237])).
% 1.52/1.30 tff(243,plain,(
% 1.52/1.30 ![X: $i] : (lateharvest(X) | (~sauternes(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[242])).
% 1.52/1.30 tff(244,plain,
% 1.52/1.30 (![X: $i] : (lateharvest(X) | (~sauternes(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[243, 236])).
% 1.52/1.30 tff(245,plain,
% 1.52/1.30 (((~![X: $i] : (lateharvest(X) | (~sauternes(X)))) | (lateharvest(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))) <=> ((~![X: $i] : (lateharvest(X) | (~sauternes(X)))) | lateharvest(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(246,plain,
% 1.52/1.30 ((~![X: $i] : (lateharvest(X) | (~sauternes(X)))) | (lateharvest(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(247,plain,
% 1.52/1.30 ((~![X: $i] : (lateharvest(X) | (~sauternes(X)))) | lateharvest(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[246, 245])).
% 1.52/1.30 tff(248,plain,
% 1.52/1.30 (lateharvest(chateaudychemsauterne)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[247, 244, 234])).
% 1.52/1.30 tff(249,plain,
% 1.52/1.30 (^[X: $i] : refl((q70(X) | (~lateharvest(X))) <=> (q70(X) | (~lateharvest(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(250,plain,
% 1.52/1.30 (![X: $i] : (q70(X) | (~lateharvest(X))) <=> ![X: $i] : (q70(X) | (~lateharvest(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[249])).
% 1.52/1.30 tff(251,plain,
% 1.52/1.30 (![X: $i] : (q70(X) | (~lateharvest(X))) <=> ![X: $i] : (q70(X) | (~lateharvest(X)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(252,plain,
% 1.52/1.30 (^[X: $i] : rewrite((lateharvest(X) => q70(X)) <=> (q70(X) | (~lateharvest(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(253,plain,
% 1.52/1.30 (![X: $i] : (lateharvest(X) => q70(X)) <=> ![X: $i] : (q70(X) | (~lateharvest(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[252])).
% 1.52/1.30 tff(254,axiom,(![X: $i] : (lateharvest(X) => q70(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula393')).
% 1.52/1.30 tff(255,plain,
% 1.52/1.30 (![X: $i] : (q70(X) | (~lateharvest(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[254, 253])).
% 1.52/1.30 tff(256,plain,
% 1.52/1.30 (![X: $i] : (q70(X) | (~lateharvest(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[255, 251])).
% 1.52/1.30 tff(257,plain,(
% 1.52/1.30 ![X: $i] : (q70(X) | (~lateharvest(X)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[256])).
% 1.52/1.30 tff(258,plain,
% 1.52/1.30 (![X: $i] : (q70(X) | (~lateharvest(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[257, 250])).
% 1.52/1.30 tff(259,plain,
% 1.52/1.30 (((~![X: $i] : (q70(X) | (~lateharvest(X)))) | (q70(chateaudychemsauterne) | (~lateharvest(chateaudychemsauterne)))) <=> ((~![X: $i] : (q70(X) | (~lateharvest(X)))) | q70(chateaudychemsauterne) | (~lateharvest(chateaudychemsauterne)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(260,plain,
% 1.52/1.30 ((~![X: $i] : (q70(X) | (~lateharvest(X)))) | (q70(chateaudychemsauterne) | (~lateharvest(chateaudychemsauterne)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(261,plain,
% 1.52/1.30 ((~![X: $i] : (q70(X) | (~lateharvest(X)))) | q70(chateaudychemsauterne) | (~lateharvest(chateaudychemsauterne))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[260, 259])).
% 1.52/1.30 tff(262,plain,
% 1.52/1.30 (q70(chateaudychemsauterne)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[261, 258, 248])).
% 1.52/1.30 tff(263,plain,
% 1.52/1.30 (^[X: $i] : refl((ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X))) <=> (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(264,plain,
% 1.52/1.30 (![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[263])).
% 1.52/1.30 tff(265,plain,
% 1.52/1.30 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q70(X) & kaon2namedobjects(X)) <=> (~((~q70(X)) | (~kaon2namedobjects(X))))), ((~(q70(X) & kaon2namedobjects(X))) <=> (~(~((~q70(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~q70(X)) | (~kaon2namedobjects(X))))) <=> ((~q70(X)) | (~kaon2namedobjects(X)))), ((~(q70(X) & kaon2namedobjects(X))) <=> ((~q70(X)) | (~kaon2namedobjects(X))))), ((ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X)))) <=> (ot____nom1(X) | ((~q70(X)) | (~kaon2namedobjects(X)))))), rewrite((ot____nom1(X) | ((~q70(X)) | (~kaon2namedobjects(X)))) <=> (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))), ((ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X)))) <=> (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(266,plain,
% 1.52/1.30 (![X: $i] : (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[265])).
% 1.52/1.30 tff(267,plain,
% 1.52/1.30 (![X: $i] : (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X))))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(268,plain,
% 1.52/1.30 (^[X: $i] : rewrite(((q70(X) & kaon2namedobjects(X)) => ot____nom1(X)) <=> (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X)))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(269,plain,
% 1.52/1.30 (![X: $i] : ((q70(X) & kaon2namedobjects(X)) => ot____nom1(X)) <=> ![X: $i] : (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X))))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[268])).
% 1.52/1.30 tff(270,axiom,(![X: $i] : ((q70(X) & kaon2namedobjects(X)) => ot____nom1(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula676')).
% 1.52/1.30 tff(271,plain,
% 1.52/1.30 (![X: $i] : (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X))))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[270, 269])).
% 1.52/1.30 tff(272,plain,
% 1.52/1.30 (![X: $i] : (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X))))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[271, 267])).
% 1.52/1.30 tff(273,plain,(
% 1.52/1.30 ![X: $i] : (ot____nom1(X) | (~(q70(X) & kaon2namedobjects(X))))),
% 1.52/1.30 inference(skolemize,[status(sab)],[272])).
% 1.52/1.30 tff(274,plain,
% 1.52/1.30 (![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[273, 266])).
% 1.52/1.30 tff(275,plain,
% 1.52/1.30 (![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[274, 264])).
% 1.52/1.30 tff(276,plain,
% 1.52/1.30 (kaon2namedobjects(chateaudychemsauterne) <=> kaon2namedobjects(chateaudychemsauterne)),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(277,axiom,(kaon2namedobjects(chateaudychemsauterne)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula620')).
% 1.52/1.30 tff(278,plain,
% 1.52/1.30 (kaon2namedobjects(chateaudychemsauterne)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[277, 276])).
% 1.52/1.30 tff(279,plain,
% 1.52/1.30 (((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(chateaudychemsauterne)) | (~q70(chateaudychemsauterne)) | ot____nom1(chateaudychemsauterne))) <=> ((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(chateaudychemsauterne)) | (~q70(chateaudychemsauterne)) | ot____nom1(chateaudychemsauterne))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(280,plain,
% 1.52/1.30 ((ot____nom1(chateaudychemsauterne) | (~q70(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne))) <=> ((~kaon2namedobjects(chateaudychemsauterne)) | (~q70(chateaudychemsauterne)) | ot____nom1(chateaudychemsauterne))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(281,plain,
% 1.52/1.30 (((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | (ot____nom1(chateaudychemsauterne) | (~q70(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne)))) <=> ((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(chateaudychemsauterne)) | (~q70(chateaudychemsauterne)) | ot____nom1(chateaudychemsauterne)))),
% 1.52/1.30 inference(monotonicity,[status(thm)],[280])).
% 1.52/1.30 tff(282,plain,
% 1.52/1.30 (((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | (ot____nom1(chateaudychemsauterne) | (~q70(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne)))) <=> ((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(chateaudychemsauterne)) | (~q70(chateaudychemsauterne)) | ot____nom1(chateaudychemsauterne))),
% 1.52/1.30 inference(transitivity,[status(thm)],[281, 279])).
% 1.52/1.30 tff(283,plain,
% 1.52/1.30 ((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | (ot____nom1(chateaudychemsauterne) | (~q70(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(284,plain,
% 1.52/1.30 ((~![X: $i] : (ot____nom1(X) | (~q70(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(chateaudychemsauterne)) | (~q70(chateaudychemsauterne)) | ot____nom1(chateaudychemsauterne)),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[283, 282])).
% 1.52/1.30 tff(285,plain,
% 1.52/1.30 ((~q70(chateaudychemsauterne)) | ot____nom1(chateaudychemsauterne)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[284, 278, 275])).
% 1.52/1.30 tff(286,plain,
% 1.52/1.30 (ot____nom1(chateaudychemsauterne)),
% 1.52/1.30 inference(unit_resolution,[status(thm)],[285, 262])).
% 1.52/1.30 tff(287,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : refl((wine(X) | (~madefromgrape(X, Y))) <=> (wine(X) | (~madefromgrape(X, Y))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(288,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y))) <=> ![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[287])).
% 1.52/1.30 tff(289,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y))) <=> ![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(290,plain,
% 1.52/1.30 (^[X: $i, Y: $i] : rewrite((madefromgrape(X, Y) => wine(X)) <=> (wine(X) | (~madefromgrape(X, Y))))),
% 1.52/1.30 inference(bind,[status(th)],[])).
% 1.52/1.30 tff(291,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (madefromgrape(X, Y) => wine(X)) <=> ![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))),
% 1.52/1.30 inference(quant_intro,[status(thm)],[290])).
% 1.52/1.30 tff(292,axiom,(![X: $i, Y: $i] : (madefromgrape(X, Y) => wine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula604')).
% 1.52/1.30 tff(293,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[292, 291])).
% 1.52/1.30 tff(294,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[293, 289])).
% 1.52/1.30 tff(295,plain,(
% 1.52/1.30 ![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))),
% 1.52/1.30 inference(skolemize,[status(sab)],[294])).
% 1.52/1.30 tff(296,plain,
% 1.52/1.30 (![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[295, 288])).
% 1.52/1.30 tff(297,plain,
% 1.52/1.30 (((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(chateaudychemsauterne) | (~madefromgrape(chateaudychemsauterne, semillongrape)))) <=> ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(chateaudychemsauterne) | (~madefromgrape(chateaudychemsauterne, semillongrape)))),
% 1.52/1.30 inference(rewrite,[status(thm)],[])).
% 1.52/1.30 tff(298,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(chateaudychemsauterne) | (~madefromgrape(chateaudychemsauterne, semillongrape)))),
% 1.52/1.30 inference(quant_inst,[status(thm)],[])).
% 1.52/1.30 tff(299,plain,
% 1.52/1.30 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(chateaudychemsauterne) | (~madefromgrape(chateaudychemsauterne, semillongrape))),
% 1.52/1.30 inference(modus_ponens,[status(thm)],[298, 297])).
% 1.52/1.31 tff(300,plain,
% 1.52/1.31 (wine(chateaudychemsauterne)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[299, 296, 34])).
% 1.52/1.31 tff(301,plain,
% 1.52/1.31 (^[X: $i] : refl((hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X))) <=> (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(302,plain,
% 1.52/1.31 (![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[301])).
% 1.52/1.31 tff(303,plain,
% 1.52/1.31 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((wine(X) & kaon2namedobjects(X)) <=> (~((~wine(X)) | (~kaon2namedobjects(X))))), ((~(wine(X) & kaon2namedobjects(X))) <=> (~(~((~wine(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~wine(X)) | (~kaon2namedobjects(X))))) <=> ((~wine(X)) | (~kaon2namedobjects(X)))), ((~(wine(X) & kaon2namedobjects(X))) <=> ((~wine(X)) | (~kaon2namedobjects(X))))), (((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X)) <=> (((~wine(X)) | (~kaon2namedobjects(X))) | hassugar(X, X)))), rewrite((((~wine(X)) | (~kaon2namedobjects(X))) | hassugar(X, X)) <=> (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))), (((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X)) <=> (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(304,plain,
% 1.52/1.31 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X)) <=> ![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[303])).
% 1.52/1.31 tff(305,plain,
% 1.52/1.31 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X)) <=> ![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(306,plain,
% 1.52/1.31 (^[X: $i] : rewrite(((wine(X) & kaon2namedobjects(X)) => hassugar(X, X)) <=> ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X)))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(307,plain,
% 1.52/1.31 (![X: $i] : ((wine(X) & kaon2namedobjects(X)) => hassugar(X, X)) <=> ![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[306])).
% 1.52/1.31 tff(308,axiom,(![X: $i] : ((wine(X) & kaon2namedobjects(X)) => hassugar(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula843')).
% 1.52/1.31 tff(309,plain,
% 1.52/1.31 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[308, 307])).
% 1.52/1.31 tff(310,plain,
% 1.52/1.31 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[309, 305])).
% 1.52/1.31 tff(311,plain,(
% 1.52/1.31 ![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hassugar(X, X))),
% 1.52/1.31 inference(skolemize,[status(sab)],[310])).
% 1.52/1.31 tff(312,plain,
% 1.52/1.31 (![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[311, 304])).
% 1.52/1.31 tff(313,plain,
% 1.52/1.31 (![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[312, 302])).
% 1.52/1.31 tff(314,plain,
% 1.52/1.31 (((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(chateaudychemsauterne)) | (~wine(chateaudychemsauterne)) | hassugar(chateaudychemsauterne, chateaudychemsauterne))) <=> ((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(chateaudychemsauterne)) | (~wine(chateaudychemsauterne)) | hassugar(chateaudychemsauterne, chateaudychemsauterne))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(315,plain,
% 1.52/1.31 ((hassugar(chateaudychemsauterne, chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne))) <=> ((~kaon2namedobjects(chateaudychemsauterne)) | (~wine(chateaudychemsauterne)) | hassugar(chateaudychemsauterne, chateaudychemsauterne))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(316,plain,
% 1.52/1.31 (((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hassugar(chateaudychemsauterne, chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne)))) <=> ((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(chateaudychemsauterne)) | (~wine(chateaudychemsauterne)) | hassugar(chateaudychemsauterne, chateaudychemsauterne)))),
% 1.52/1.31 inference(monotonicity,[status(thm)],[315])).
% 1.52/1.31 tff(317,plain,
% 1.52/1.31 (((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hassugar(chateaudychemsauterne, chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne)))) <=> ((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(chateaudychemsauterne)) | (~wine(chateaudychemsauterne)) | hassugar(chateaudychemsauterne, chateaudychemsauterne))),
% 1.52/1.31 inference(transitivity,[status(thm)],[316, 314])).
% 1.52/1.31 tff(318,plain,
% 1.52/1.31 ((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hassugar(chateaudychemsauterne, chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~kaon2namedobjects(chateaudychemsauterne)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(319,plain,
% 1.52/1.31 ((~![X: $i] : (hassugar(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(chateaudychemsauterne)) | (~wine(chateaudychemsauterne)) | hassugar(chateaudychemsauterne, chateaudychemsauterne)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[318, 317])).
% 1.52/1.31 tff(320,plain,
% 1.52/1.31 ((~wine(chateaudychemsauterne)) | hassugar(chateaudychemsauterne, chateaudychemsauterne)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[319, 278, 313])).
% 1.52/1.31 tff(321,plain,
% 1.52/1.31 (hassugar(chateaudychemsauterne, chateaudychemsauterne)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[320, 300])).
% 1.52/1.31 tff(322,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : refl((q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y))) <=> (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(323,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y))) <=> ![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[322])).
% 1.52/1.31 tff(324,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((hassugar(X, Y) & ot____nom1(Y)) <=> (~((~hassugar(X, Y)) | (~ot____nom1(Y))))), ((~(hassugar(X, Y) & ot____nom1(Y))) <=> (~(~((~hassugar(X, Y)) | (~ot____nom1(Y))))))), rewrite((~(~((~hassugar(X, Y)) | (~ot____nom1(Y))))) <=> ((~hassugar(X, Y)) | (~ot____nom1(Y)))), ((~(hassugar(X, Y) & ot____nom1(Y))) <=> ((~hassugar(X, Y)) | (~ot____nom1(Y))))), ((q71(X) | (~(hassugar(X, Y) & ot____nom1(Y)))) <=> (q71(X) | ((~hassugar(X, Y)) | (~ot____nom1(Y)))))), rewrite((q71(X) | ((~hassugar(X, Y)) | (~ot____nom1(Y)))) <=> (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))), ((q71(X) | (~(hassugar(X, Y) & ot____nom1(Y)))) <=> (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(325,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y)))) <=> ![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[324])).
% 1.52/1.31 tff(326,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y)))) <=> ![X: $i, Y: $i] : (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y))))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(327,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : rewrite(((hassugar(X, Y) & ot____nom1(Y)) => q71(X)) <=> (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(328,plain,
% 1.52/1.31 (![X: $i, Y: $i] : ((hassugar(X, Y) & ot____nom1(Y)) => q71(X)) <=> ![X: $i, Y: $i] : (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y))))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[327])).
% 1.52/1.31 tff(329,axiom,(![X: $i, Y: $i] : ((hassugar(X, Y) & ot____nom1(Y)) => q71(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula396')).
% 1.52/1.31 tff(330,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[329, 328])).
% 1.52/1.31 tff(331,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[330, 326])).
% 1.52/1.31 tff(332,plain,(
% 1.52/1.31 ![X: $i, Y: $i] : (q71(X) | (~(hassugar(X, Y) & ot____nom1(Y))))),
% 1.52/1.31 inference(skolemize,[status(sab)],[331])).
% 1.52/1.31 tff(333,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[332, 325])).
% 1.52/1.31 tff(334,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[333, 323])).
% 1.52/1.31 tff(335,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | (q71(chateaudychemsauterne) | (~ot____nom1(chateaudychemsauterne)) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)))) <=> ((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | q71(chateaudychemsauterne) | (~ot____nom1(chateaudychemsauterne)) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(336,plain,
% 1.52/1.31 ((q71(chateaudychemsauterne) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)) | (~ot____nom1(chateaudychemsauterne))) <=> (q71(chateaudychemsauterne) | (~ot____nom1(chateaudychemsauterne)) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(337,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | (q71(chateaudychemsauterne) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)) | (~ot____nom1(chateaudychemsauterne)))) <=> ((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | (q71(chateaudychemsauterne) | (~ot____nom1(chateaudychemsauterne)) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne))))),
% 1.52/1.31 inference(monotonicity,[status(thm)],[336])).
% 1.52/1.31 tff(338,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | (q71(chateaudychemsauterne) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)) | (~ot____nom1(chateaudychemsauterne)))) <=> ((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | q71(chateaudychemsauterne) | (~ot____nom1(chateaudychemsauterne)) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)))),
% 1.52/1.31 inference(transitivity,[status(thm)],[337, 335])).
% 1.52/1.31 tff(339,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | (q71(chateaudychemsauterne) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne)) | (~ot____nom1(chateaudychemsauterne)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(340,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : (q71(X) | (~hassugar(X, Y)) | (~ot____nom1(Y)))) | q71(chateaudychemsauterne) | (~ot____nom1(chateaudychemsauterne)) | (~hassugar(chateaudychemsauterne, chateaudychemsauterne))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[339, 338])).
% 1.52/1.31 tff(341,plain,
% 1.52/1.31 (q71(chateaudychemsauterne) | (~ot____nom1(chateaudychemsauterne))),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[340, 334, 321])).
% 1.52/1.31 tff(342,plain,
% 1.52/1.31 (q71(chateaudychemsauterne)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[341, 286])).
% 1.52/1.31 tff(343,plain,
% 1.52/1.31 (^[X: $i] : refl((sweetwine(X) | (~wine(X)) | (~q71(X))) <=> (sweetwine(X) | (~wine(X)) | (~q71(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(344,plain,
% 1.52/1.31 (![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X))) <=> ![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[343])).
% 1.52/1.31 tff(345,plain,
% 1.52/1.31 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q71(X) & wine(X)) <=> (~((~q71(X)) | (~wine(X))))), ((~(q71(X) & wine(X))) <=> (~(~((~q71(X)) | (~wine(X))))))), rewrite((~(~((~q71(X)) | (~wine(X))))) <=> ((~q71(X)) | (~wine(X)))), ((~(q71(X) & wine(X))) <=> ((~q71(X)) | (~wine(X))))), ((sweetwine(X) | (~(q71(X) & wine(X)))) <=> (sweetwine(X) | ((~q71(X)) | (~wine(X)))))), rewrite((sweetwine(X) | ((~q71(X)) | (~wine(X)))) <=> (sweetwine(X) | (~wine(X)) | (~q71(X)))), ((sweetwine(X) | (~(q71(X) & wine(X)))) <=> (sweetwine(X) | (~wine(X)) | (~q71(X)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(346,plain,
% 1.52/1.31 (![X: $i] : (sweetwine(X) | (~(q71(X) & wine(X)))) <=> ![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[345])).
% 1.52/1.31 tff(347,plain,
% 1.52/1.31 (![X: $i] : (sweetwine(X) | (~(q71(X) & wine(X)))) <=> ![X: $i] : (sweetwine(X) | (~(q71(X) & wine(X))))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(348,plain,
% 1.52/1.31 (^[X: $i] : rewrite(((q71(X) & wine(X)) => sweetwine(X)) <=> (sweetwine(X) | (~(q71(X) & wine(X)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(349,plain,
% 1.52/1.31 (![X: $i] : ((q71(X) & wine(X)) => sweetwine(X)) <=> ![X: $i] : (sweetwine(X) | (~(q71(X) & wine(X))))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[348])).
% 1.52/1.31 tff(350,axiom,(![X: $i] : ((q71(X) & wine(X)) => sweetwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula556')).
% 1.52/1.31 tff(351,plain,
% 1.52/1.31 (![X: $i] : (sweetwine(X) | (~(q71(X) & wine(X))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[350, 349])).
% 1.52/1.31 tff(352,plain,
% 1.52/1.31 (![X: $i] : (sweetwine(X) | (~(q71(X) & wine(X))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[351, 347])).
% 1.52/1.31 tff(353,plain,(
% 1.52/1.31 ![X: $i] : (sweetwine(X) | (~(q71(X) & wine(X))))),
% 1.52/1.31 inference(skolemize,[status(sab)],[352])).
% 1.52/1.31 tff(354,plain,
% 1.52/1.31 (![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[353, 346])).
% 1.52/1.31 tff(355,plain,
% 1.52/1.31 (![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[354, 344])).
% 1.52/1.31 tff(356,plain,
% 1.52/1.31 (((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | ((~wine(chateaudychemsauterne)) | sweetwine(chateaudychemsauterne) | (~q71(chateaudychemsauterne)))) <=> ((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | (~wine(chateaudychemsauterne)) | sweetwine(chateaudychemsauterne) | (~q71(chateaudychemsauterne)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(357,plain,
% 1.52/1.31 ((sweetwine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q71(chateaudychemsauterne))) <=> ((~wine(chateaudychemsauterne)) | sweetwine(chateaudychemsauterne) | (~q71(chateaudychemsauterne)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(358,plain,
% 1.52/1.31 (((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | (sweetwine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q71(chateaudychemsauterne)))) <=> ((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | ((~wine(chateaudychemsauterne)) | sweetwine(chateaudychemsauterne) | (~q71(chateaudychemsauterne))))),
% 1.52/1.31 inference(monotonicity,[status(thm)],[357])).
% 1.52/1.31 tff(359,plain,
% 1.52/1.31 (((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | (sweetwine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q71(chateaudychemsauterne)))) <=> ((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | (~wine(chateaudychemsauterne)) | sweetwine(chateaudychemsauterne) | (~q71(chateaudychemsauterne)))),
% 1.52/1.31 inference(transitivity,[status(thm)],[358, 356])).
% 1.52/1.31 tff(360,plain,
% 1.52/1.31 ((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | (sweetwine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q71(chateaudychemsauterne)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(361,plain,
% 1.52/1.31 ((~![X: $i] : (sweetwine(X) | (~wine(X)) | (~q71(X)))) | (~wine(chateaudychemsauterne)) | sweetwine(chateaudychemsauterne) | (~q71(chateaudychemsauterne))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[360, 359])).
% 1.52/1.31 tff(362,plain,
% 1.52/1.31 (sweetwine(chateaudychemsauterne) | (~q71(chateaudychemsauterne))),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[361, 355, 300])).
% 1.52/1.31 tff(363,plain,
% 1.52/1.31 (sweetwine(chateaudychemsauterne)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[362, 342])).
% 1.52/1.31 tff(364,assumption,(![X: $i] : (~sweetwine(X))), introduced(assumption)).
% 1.52/1.31 tff(365,plain,
% 1.52/1.31 ((~![X: $i] : (~sweetwine(X))) | (~sweetwine(chateaudychemsauterne))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(366,plain,
% 1.52/1.31 ($false),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[365, 364, 363])).
% 1.52/1.31 tff(367,plain,(~![X: $i] : (~sweetwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.31 tff(368,plain,
% 1.52/1.31 (^[X: $i] : refl((redtablewine(X) | (~redtablewine_aux(X))) <=> (redtablewine(X) | (~redtablewine_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(369,plain,
% 1.52/1.31 (![X: $i] : (redtablewine(X) | (~redtablewine_aux(X))) <=> ![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[368])).
% 1.52/1.31 tff(370,plain,
% 1.52/1.31 (![X: $i] : (redtablewine(X) | (~redtablewine_aux(X))) <=> ![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(371,plain,
% 1.52/1.31 (^[X: $i] : rewrite((redtablewine_aux(X) => redtablewine(X)) <=> (redtablewine(X) | (~redtablewine_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(372,plain,
% 1.52/1.31 (![X: $i] : (redtablewine_aux(X) => redtablewine(X)) <=> ![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[371])).
% 1.52/1.31 tff(373,axiom,(![X: $i] : (redtablewine_aux(X) => redtablewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula99')).
% 1.52/1.31 tff(374,plain,
% 1.52/1.31 (![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[373, 372])).
% 1.52/1.31 tff(375,plain,
% 1.52/1.31 (![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[374, 370])).
% 1.52/1.31 tff(376,plain,(
% 1.52/1.31 ![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))),
% 1.52/1.31 inference(skolemize,[status(sab)],[375])).
% 1.52/1.31 tff(377,plain,
% 1.52/1.31 (![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[376, 369])).
% 1.52/1.31 tff(378,plain,
% 1.52/1.31 (redtablewine_aux(mariettaoldvinesred) <=> redtablewine_aux(mariettaoldvinesred)),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(379,axiom,(redtablewine_aux(mariettaoldvinesred)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula442')).
% 1.52/1.31 tff(380,plain,
% 1.52/1.31 (redtablewine_aux(mariettaoldvinesred)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[379, 378])).
% 1.52/1.31 tff(381,plain,
% 1.52/1.31 (((~![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))) | (redtablewine(mariettaoldvinesred) | (~redtablewine_aux(mariettaoldvinesred)))) <=> ((~![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))) | redtablewine(mariettaoldvinesred) | (~redtablewine_aux(mariettaoldvinesred)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(382,plain,
% 1.52/1.31 ((~![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))) | (redtablewine(mariettaoldvinesred) | (~redtablewine_aux(mariettaoldvinesred)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(383,plain,
% 1.52/1.31 ((~![X: $i] : (redtablewine(X) | (~redtablewine_aux(X)))) | redtablewine(mariettaoldvinesred) | (~redtablewine_aux(mariettaoldvinesred))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[382, 381])).
% 1.52/1.31 tff(384,plain,
% 1.52/1.31 (redtablewine(mariettaoldvinesred)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[383, 380, 377])).
% 1.52/1.31 tff(385,plain,
% 1.52/1.31 (^[X: $i] : refl((tablewine(X) | (~redtablewine(X))) <=> (tablewine(X) | (~redtablewine(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(386,plain,
% 1.52/1.31 (![X: $i] : (tablewine(X) | (~redtablewine(X))) <=> ![X: $i] : (tablewine(X) | (~redtablewine(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[385])).
% 1.52/1.31 tff(387,plain,
% 1.52/1.31 (![X: $i] : (tablewine(X) | (~redtablewine(X))) <=> ![X: $i] : (tablewine(X) | (~redtablewine(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(388,plain,
% 1.52/1.31 (^[X: $i] : rewrite((redtablewine(X) => tablewine(X)) <=> (tablewine(X) | (~redtablewine(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(389,plain,
% 1.52/1.31 (![X: $i] : (redtablewine(X) => tablewine(X)) <=> ![X: $i] : (tablewine(X) | (~redtablewine(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[388])).
% 1.52/1.31 tff(390,axiom,(![X: $i] : (redtablewine(X) => tablewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula559')).
% 1.52/1.31 tff(391,plain,
% 1.52/1.31 (![X: $i] : (tablewine(X) | (~redtablewine(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[390, 389])).
% 1.52/1.31 tff(392,plain,
% 1.52/1.31 (![X: $i] : (tablewine(X) | (~redtablewine(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[391, 387])).
% 1.52/1.31 tff(393,plain,(
% 1.52/1.31 ![X: $i] : (tablewine(X) | (~redtablewine(X)))),
% 1.52/1.31 inference(skolemize,[status(sab)],[392])).
% 1.52/1.31 tff(394,plain,
% 1.52/1.31 (![X: $i] : (tablewine(X) | (~redtablewine(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[393, 386])).
% 1.52/1.31 tff(395,plain,
% 1.52/1.31 (((~![X: $i] : (tablewine(X) | (~redtablewine(X)))) | (tablewine(mariettaoldvinesred) | (~redtablewine(mariettaoldvinesred)))) <=> ((~![X: $i] : (tablewine(X) | (~redtablewine(X)))) | tablewine(mariettaoldvinesred) | (~redtablewine(mariettaoldvinesred)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(396,plain,
% 1.52/1.31 ((~![X: $i] : (tablewine(X) | (~redtablewine(X)))) | (tablewine(mariettaoldvinesred) | (~redtablewine(mariettaoldvinesred)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(397,plain,
% 1.52/1.31 ((~![X: $i] : (tablewine(X) | (~redtablewine(X)))) | tablewine(mariettaoldvinesred) | (~redtablewine(mariettaoldvinesred))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[396, 395])).
% 1.52/1.31 tff(398,plain,
% 1.52/1.31 (tablewine(mariettaoldvinesred)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[397, 394, 384])).
% 1.52/1.31 tff(399,assumption,(![X: $i] : (~tablewine(X))), introduced(assumption)).
% 1.52/1.31 tff(400,plain,
% 1.52/1.31 ((~![X: $i] : (~tablewine(X))) | (~tablewine(mariettaoldvinesred))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(401,plain,
% 1.52/1.31 ($false),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[400, 399, 398])).
% 1.52/1.31 tff(402,plain,(~![X: $i] : (~tablewine(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.31 tff(403,plain,
% 1.52/1.31 (locatedin_aux(centraltexasregion, texasregion) <=> locatedin_aux(centraltexasregion, texasregion)),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(404,axiom,(locatedin_aux(centraltexasregion, texasregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula197')).
% 1.52/1.31 tff(405,plain,
% 1.52/1.31 (locatedin_aux(centraltexasregion, texasregion)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[404, 403])).
% 1.52/1.31 tff(406,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(centraltexasregion, texasregion)) | locatedin(centraltexasregion, texasregion))) <=> ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(centraltexasregion, texasregion)) | locatedin(centraltexasregion, texasregion))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(407,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(centraltexasregion, texasregion)) | locatedin(centraltexasregion, texasregion))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(408,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(centraltexasregion, texasregion)) | locatedin(centraltexasregion, texasregion)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[407, 406])).
% 1.52/1.31 tff(409,plain,
% 1.52/1.31 (locatedin(centraltexasregion, texasregion)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[408, 405, 10])).
% 1.52/1.31 tff(410,plain,
% 1.52/1.31 (locatedin_aux(stgenevievetexaswhite, centraltexasregion) <=> locatedin_aux(stgenevievetexaswhite, centraltexasregion)),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(411,axiom,(locatedin_aux(stgenevievetexaswhite, centraltexasregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula181')).
% 1.52/1.31 tff(412,plain,
% 1.52/1.31 (locatedin_aux(stgenevievetexaswhite, centraltexasregion)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[411, 410])).
% 1.52/1.31 tff(413,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(stgenevievetexaswhite, centraltexasregion)) | locatedin(stgenevievetexaswhite, centraltexasregion))) <=> ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(stgenevievetexaswhite, centraltexasregion)) | locatedin(stgenevievetexaswhite, centraltexasregion))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(414,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(stgenevievetexaswhite, centraltexasregion)) | locatedin(stgenevievetexaswhite, centraltexasregion))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(415,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(stgenevievetexaswhite, centraltexasregion)) | locatedin(stgenevievetexaswhite, centraltexasregion)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[414, 413])).
% 1.52/1.31 tff(416,plain,
% 1.52/1.31 (locatedin(stgenevievetexaswhite, centraltexasregion)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[415, 412, 10])).
% 1.52/1.31 tff(417,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(418,plain,
% 1.52/1.31 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((locatedin(X, Y) & locatedin(Y, Z)) <=> (~((~locatedin(Y, Z)) | (~locatedin(X, Y))))), ((~(locatedin(X, Y) & locatedin(Y, Z))) <=> (~(~((~locatedin(Y, Z)) | (~locatedin(X, Y))))))), rewrite((~(~((~locatedin(Y, Z)) | (~locatedin(X, Y))))) <=> ((~locatedin(Y, Z)) | (~locatedin(X, Y)))), ((~(locatedin(X, Y) & locatedin(Y, Z))) <=> ((~locatedin(Y, Z)) | (~locatedin(X, Y))))), (((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z)) <=> (((~locatedin(Y, Z)) | (~locatedin(X, Y))) | locatedin(X, Z)))), rewrite((((~locatedin(Y, Z)) | (~locatedin(X, Y))) | locatedin(X, Z)) <=> (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))), (((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z)) <=> (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(419,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[418])).
% 1.52/1.31 tff(420,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(421,plain,
% 1.52/1.31 (^[X: $i, Y: $i, Z: $i] : rewrite(((locatedin(X, Y) & locatedin(Y, Z)) => locatedin(X, Z)) <=> ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z)))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(422,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : ((locatedin(X, Y) & locatedin(Y, Z)) => locatedin(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[421])).
% 1.52/1.31 tff(423,axiom,(![X: $i, Y: $i, Z: $i] : ((locatedin(X, Y) & locatedin(Y, Z)) => locatedin(X, Z))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula886')).
% 1.52/1.31 tff(424,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[423, 422])).
% 1.52/1.31 tff(425,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[424, 420])).
% 1.52/1.31 tff(426,plain,(
% 1.52/1.31 ![X: $i, Y: $i, Z: $i] : ((~(locatedin(X, Y) & locatedin(Y, Z))) | locatedin(X, Z))),
% 1.52/1.31 inference(skolemize,[status(sab)],[425])).
% 1.52/1.31 tff(427,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[426, 419])).
% 1.52/1.31 tff(428,plain,
% 1.52/1.31 (![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[427, 417])).
% 1.52/1.31 tff(429,plain,
% 1.52/1.31 (((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (locatedin(stgenevievetexaswhite, texasregion) | (~locatedin(centraltexasregion, texasregion)) | (~locatedin(stgenevievetexaswhite, centraltexasregion)))) <=> ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | locatedin(stgenevievetexaswhite, texasregion) | (~locatedin(centraltexasregion, texasregion)) | (~locatedin(stgenevievetexaswhite, centraltexasregion)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(430,plain,
% 1.52/1.31 ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (locatedin(stgenevievetexaswhite, texasregion) | (~locatedin(centraltexasregion, texasregion)) | (~locatedin(stgenevievetexaswhite, centraltexasregion)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(431,plain,
% 1.52/1.31 ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | locatedin(stgenevievetexaswhite, texasregion) | (~locatedin(centraltexasregion, texasregion)) | (~locatedin(stgenevievetexaswhite, centraltexasregion))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[430, 429])).
% 1.52/1.31 tff(432,plain,
% 1.52/1.31 (locatedin(stgenevievetexaswhite, texasregion)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[431, 428, 416, 409])).
% 1.52/1.31 tff(433,plain,
% 1.52/1.31 (^[X: $i] : refl((ot____nom10(X) | (~ot____nom10_aux(X))) <=> (ot____nom10(X) | (~ot____nom10_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(434,plain,
% 1.52/1.31 (![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X))) <=> ![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[433])).
% 1.52/1.31 tff(435,plain,
% 1.52/1.31 (![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X))) <=> ![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(436,plain,
% 1.52/1.31 (^[X: $i] : rewrite((ot____nom10_aux(X) => ot____nom10(X)) <=> (ot____nom10(X) | (~ot____nom10_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(437,plain,
% 1.52/1.31 (![X: $i] : (ot____nom10_aux(X) => ot____nom10(X)) <=> ![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[436])).
% 1.52/1.31 tff(438,axiom,(![X: $i] : (ot____nom10_aux(X) => ot____nom10(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula11')).
% 1.52/1.31 tff(439,plain,
% 1.52/1.31 (![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[438, 437])).
% 1.52/1.31 tff(440,plain,
% 1.52/1.31 (![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[439, 435])).
% 1.52/1.31 tff(441,plain,(
% 1.52/1.31 ![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))),
% 1.52/1.31 inference(skolemize,[status(sab)],[440])).
% 1.52/1.31 tff(442,plain,
% 1.52/1.31 (![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[441, 434])).
% 1.52/1.31 tff(443,plain,
% 1.52/1.31 (ot____nom10_aux(texasregion) <=> ot____nom10_aux(texasregion)),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(444,axiom,(ot____nom10_aux(texasregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula246')).
% 1.52/1.31 tff(445,plain,
% 1.52/1.31 (ot____nom10_aux(texasregion)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[444, 443])).
% 1.52/1.31 tff(446,plain,
% 1.52/1.31 (((~![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))) | (ot____nom10(texasregion) | (~ot____nom10_aux(texasregion)))) <=> ((~![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))) | ot____nom10(texasregion) | (~ot____nom10_aux(texasregion)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(447,plain,
% 1.52/1.31 ((~![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))) | (ot____nom10(texasregion) | (~ot____nom10_aux(texasregion)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(448,plain,
% 1.52/1.31 ((~![X: $i] : (ot____nom10(X) | (~ot____nom10_aux(X)))) | ot____nom10(texasregion) | (~ot____nom10_aux(texasregion))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[447, 446])).
% 1.52/1.31 tff(449,plain,
% 1.52/1.31 (ot____nom10(texasregion)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[448, 445, 442])).
% 1.52/1.31 tff(450,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : refl((q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y))) <=> (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(451,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y))) <=> ![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[450])).
% 1.52/1.31 tff(452,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((locatedin(X, Y) & ot____nom10(Y)) <=> (~((~locatedin(X, Y)) | (~ot____nom10(Y))))), ((~(locatedin(X, Y) & ot____nom10(Y))) <=> (~(~((~locatedin(X, Y)) | (~ot____nom10(Y))))))), rewrite((~(~((~locatedin(X, Y)) | (~ot____nom10(Y))))) <=> ((~locatedin(X, Y)) | (~ot____nom10(Y)))), ((~(locatedin(X, Y) & ot____nom10(Y))) <=> ((~locatedin(X, Y)) | (~ot____nom10(Y))))), ((q74(X) | (~(locatedin(X, Y) & ot____nom10(Y)))) <=> (q74(X) | ((~locatedin(X, Y)) | (~ot____nom10(Y)))))), rewrite((q74(X) | ((~locatedin(X, Y)) | (~ot____nom10(Y)))) <=> (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))), ((q74(X) | (~(locatedin(X, Y) & ot____nom10(Y)))) <=> (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(453,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y)))) <=> ![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[452])).
% 1.52/1.31 tff(454,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y)))) <=> ![X: $i, Y: $i] : (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y))))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(455,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : rewrite(((locatedin(X, Y) & ot____nom10(Y)) => q74(X)) <=> (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(456,plain,
% 1.52/1.31 (![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom10(Y)) => q74(X)) <=> ![X: $i, Y: $i] : (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y))))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[455])).
% 1.52/1.31 tff(457,axiom,(![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom10(Y)) => q74(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula405')).
% 1.52/1.31 tff(458,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[457, 456])).
% 1.52/1.31 tff(459,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[458, 454])).
% 1.52/1.31 tff(460,plain,(
% 1.52/1.31 ![X: $i, Y: $i] : (q74(X) | (~(locatedin(X, Y) & ot____nom10(Y))))),
% 1.52/1.31 inference(skolemize,[status(sab)],[459])).
% 1.52/1.31 tff(461,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[460, 453])).
% 1.52/1.31 tff(462,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[461, 451])).
% 1.52/1.31 tff(463,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | (q74(stgenevievetexaswhite) | (~ot____nom10(texasregion)) | (~locatedin(stgenevievetexaswhite, texasregion)))) <=> ((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | q74(stgenevievetexaswhite) | (~ot____nom10(texasregion)) | (~locatedin(stgenevievetexaswhite, texasregion)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(464,plain,
% 1.52/1.31 ((q74(stgenevievetexaswhite) | (~locatedin(stgenevievetexaswhite, texasregion)) | (~ot____nom10(texasregion))) <=> (q74(stgenevievetexaswhite) | (~ot____nom10(texasregion)) | (~locatedin(stgenevievetexaswhite, texasregion)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(465,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | (q74(stgenevievetexaswhite) | (~locatedin(stgenevievetexaswhite, texasregion)) | (~ot____nom10(texasregion)))) <=> ((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | (q74(stgenevievetexaswhite) | (~ot____nom10(texasregion)) | (~locatedin(stgenevievetexaswhite, texasregion))))),
% 1.52/1.31 inference(monotonicity,[status(thm)],[464])).
% 1.52/1.31 tff(466,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | (q74(stgenevievetexaswhite) | (~locatedin(stgenevievetexaswhite, texasregion)) | (~ot____nom10(texasregion)))) <=> ((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | q74(stgenevievetexaswhite) | (~ot____nom10(texasregion)) | (~locatedin(stgenevievetexaswhite, texasregion)))),
% 1.52/1.31 inference(transitivity,[status(thm)],[465, 463])).
% 1.52/1.31 tff(467,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | (q74(stgenevievetexaswhite) | (~locatedin(stgenevievetexaswhite, texasregion)) | (~ot____nom10(texasregion)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(468,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : (q74(X) | (~locatedin(X, Y)) | (~ot____nom10(Y)))) | q74(stgenevievetexaswhite) | (~ot____nom10(texasregion)) | (~locatedin(stgenevievetexaswhite, texasregion))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[467, 466])).
% 1.52/1.31 tff(469,plain,
% 1.52/1.31 (q74(stgenevievetexaswhite)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[468, 462, 449, 432])).
% 1.52/1.31 tff(470,plain,
% 1.52/1.31 (^[X: $i] : refl((whitewine(X) | (~whitewine_aux(X))) <=> (whitewine(X) | (~whitewine_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(471,plain,
% 1.52/1.31 (![X: $i] : (whitewine(X) | (~whitewine_aux(X))) <=> ![X: $i] : (whitewine(X) | (~whitewine_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[470])).
% 1.52/1.31 tff(472,plain,
% 1.52/1.31 (![X: $i] : (whitewine(X) | (~whitewine_aux(X))) <=> ![X: $i] : (whitewine(X) | (~whitewine_aux(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(473,plain,
% 1.52/1.31 (^[X: $i] : rewrite((whitewine_aux(X) => whitewine(X)) <=> (whitewine(X) | (~whitewine_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(474,plain,
% 1.52/1.31 (![X: $i] : (whitewine_aux(X) => whitewine(X)) <=> ![X: $i] : (whitewine(X) | (~whitewine_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[473])).
% 1.52/1.31 tff(475,axiom,(![X: $i] : (whitewine_aux(X) => whitewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula110')).
% 1.52/1.31 tff(476,plain,
% 1.52/1.31 (![X: $i] : (whitewine(X) | (~whitewine_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[475, 474])).
% 1.52/1.31 tff(477,plain,
% 1.52/1.31 (![X: $i] : (whitewine(X) | (~whitewine_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[476, 472])).
% 1.52/1.31 tff(478,plain,(
% 1.52/1.31 ![X: $i] : (whitewine(X) | (~whitewine_aux(X)))),
% 1.52/1.31 inference(skolemize,[status(sab)],[477])).
% 1.52/1.31 tff(479,plain,
% 1.52/1.31 (![X: $i] : (whitewine(X) | (~whitewine_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[478, 471])).
% 1.52/1.31 tff(480,plain,
% 1.52/1.31 (whitewine_aux(stgenevievetexaswhite) <=> whitewine_aux(stgenevievetexaswhite)),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(481,axiom,(whitewine_aux(stgenevievetexaswhite)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula409')).
% 1.52/1.31 tff(482,plain,
% 1.52/1.31 (whitewine_aux(stgenevievetexaswhite)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[481, 480])).
% 1.52/1.31 tff(483,plain,
% 1.52/1.31 (((~![X: $i] : (whitewine(X) | (~whitewine_aux(X)))) | (whitewine(stgenevievetexaswhite) | (~whitewine_aux(stgenevievetexaswhite)))) <=> ((~![X: $i] : (whitewine(X) | (~whitewine_aux(X)))) | whitewine(stgenevievetexaswhite) | (~whitewine_aux(stgenevievetexaswhite)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(484,plain,
% 1.52/1.31 ((~![X: $i] : (whitewine(X) | (~whitewine_aux(X)))) | (whitewine(stgenevievetexaswhite) | (~whitewine_aux(stgenevievetexaswhite)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(485,plain,
% 1.52/1.31 ((~![X: $i] : (whitewine(X) | (~whitewine_aux(X)))) | whitewine(stgenevievetexaswhite) | (~whitewine_aux(stgenevievetexaswhite))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[484, 483])).
% 1.52/1.31 tff(486,plain,
% 1.52/1.31 (whitewine(stgenevievetexaswhite)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[485, 482, 479])).
% 1.52/1.31 tff(487,plain,
% 1.52/1.31 (^[X: $i] : refl((wine(X) | (~whitewine(X))) <=> (wine(X) | (~whitewine(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(488,plain,
% 1.52/1.31 (![X: $i] : (wine(X) | (~whitewine(X))) <=> ![X: $i] : (wine(X) | (~whitewine(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[487])).
% 1.52/1.31 tff(489,plain,
% 1.52/1.31 (![X: $i] : (wine(X) | (~whitewine(X))) <=> ![X: $i] : (wine(X) | (~whitewine(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(490,plain,
% 1.52/1.31 (^[X: $i] : rewrite((whitewine(X) => wine(X)) <=> (wine(X) | (~whitewine(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(491,plain,
% 1.52/1.31 (![X: $i] : (whitewine(X) => wine(X)) <=> ![X: $i] : (wine(X) | (~whitewine(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[490])).
% 1.52/1.31 tff(492,axiom,(![X: $i] : (whitewine(X) => wine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula627')).
% 1.52/1.31 tff(493,plain,
% 1.52/1.31 (![X: $i] : (wine(X) | (~whitewine(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[492, 491])).
% 1.52/1.31 tff(494,plain,
% 1.52/1.31 (![X: $i] : (wine(X) | (~whitewine(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[493, 489])).
% 1.52/1.31 tff(495,plain,(
% 1.52/1.31 ![X: $i] : (wine(X) | (~whitewine(X)))),
% 1.52/1.31 inference(skolemize,[status(sab)],[494])).
% 1.52/1.31 tff(496,plain,
% 1.52/1.31 (![X: $i] : (wine(X) | (~whitewine(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[495, 488])).
% 1.52/1.31 tff(497,plain,
% 1.52/1.31 (((~![X: $i] : (wine(X) | (~whitewine(X)))) | (wine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite)))) <=> ((~![X: $i] : (wine(X) | (~whitewine(X)))) | wine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(498,plain,
% 1.52/1.31 ((~![X: $i] : (wine(X) | (~whitewine(X)))) | (wine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(499,plain,
% 1.52/1.31 ((~![X: $i] : (wine(X) | (~whitewine(X)))) | wine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[498, 497])).
% 1.52/1.31 tff(500,plain,
% 1.52/1.31 (wine(stgenevievetexaswhite)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[499, 496, 486])).
% 1.52/1.31 tff(501,plain,
% 1.52/1.31 (^[X: $i] : refl((texaswine(X) | (~wine(X)) | (~q74(X))) <=> (texaswine(X) | (~wine(X)) | (~q74(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(502,plain,
% 1.52/1.31 (![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X))) <=> ![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[501])).
% 1.52/1.31 tff(503,plain,
% 1.52/1.31 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q74(X) & wine(X)) <=> (~((~q74(X)) | (~wine(X))))), ((~(q74(X) & wine(X))) <=> (~(~((~q74(X)) | (~wine(X))))))), rewrite((~(~((~q74(X)) | (~wine(X))))) <=> ((~q74(X)) | (~wine(X)))), ((~(q74(X) & wine(X))) <=> ((~q74(X)) | (~wine(X))))), ((texaswine(X) | (~(q74(X) & wine(X)))) <=> (texaswine(X) | ((~q74(X)) | (~wine(X)))))), rewrite((texaswine(X) | ((~q74(X)) | (~wine(X)))) <=> (texaswine(X) | (~wine(X)) | (~q74(X)))), ((texaswine(X) | (~(q74(X) & wine(X)))) <=> (texaswine(X) | (~wine(X)) | (~q74(X)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(504,plain,
% 1.52/1.31 (![X: $i] : (texaswine(X) | (~(q74(X) & wine(X)))) <=> ![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[503])).
% 1.52/1.31 tff(505,plain,
% 1.52/1.31 (![X: $i] : (texaswine(X) | (~(q74(X) & wine(X)))) <=> ![X: $i] : (texaswine(X) | (~(q74(X) & wine(X))))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(506,plain,
% 1.52/1.31 (^[X: $i] : rewrite(((q74(X) & wine(X)) => texaswine(X)) <=> (texaswine(X) | (~(q74(X) & wine(X)))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(507,plain,
% 1.52/1.31 (![X: $i] : ((q74(X) & wine(X)) => texaswine(X)) <=> ![X: $i] : (texaswine(X) | (~(q74(X) & wine(X))))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[506])).
% 1.52/1.31 tff(508,axiom,(![X: $i] : ((q74(X) & wine(X)) => texaswine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula562')).
% 1.52/1.31 tff(509,plain,
% 1.52/1.31 (![X: $i] : (texaswine(X) | (~(q74(X) & wine(X))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[508, 507])).
% 1.52/1.31 tff(510,plain,
% 1.52/1.31 (![X: $i] : (texaswine(X) | (~(q74(X) & wine(X))))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[509, 505])).
% 1.52/1.31 tff(511,plain,(
% 1.52/1.31 ![X: $i] : (texaswine(X) | (~(q74(X) & wine(X))))),
% 1.52/1.31 inference(skolemize,[status(sab)],[510])).
% 1.52/1.31 tff(512,plain,
% 1.52/1.31 (![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[511, 504])).
% 1.52/1.31 tff(513,plain,
% 1.52/1.31 (![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[512, 502])).
% 1.52/1.31 tff(514,plain,
% 1.52/1.31 (((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | ((~wine(stgenevievetexaswhite)) | texaswine(stgenevievetexaswhite) | (~q74(stgenevievetexaswhite)))) <=> ((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | (~wine(stgenevievetexaswhite)) | texaswine(stgenevievetexaswhite) | (~q74(stgenevievetexaswhite)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(515,plain,
% 1.52/1.31 ((texaswine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q74(stgenevievetexaswhite))) <=> ((~wine(stgenevievetexaswhite)) | texaswine(stgenevievetexaswhite) | (~q74(stgenevievetexaswhite)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(516,plain,
% 1.52/1.31 (((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | (texaswine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q74(stgenevievetexaswhite)))) <=> ((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | ((~wine(stgenevievetexaswhite)) | texaswine(stgenevievetexaswhite) | (~q74(stgenevievetexaswhite))))),
% 1.52/1.31 inference(monotonicity,[status(thm)],[515])).
% 1.52/1.31 tff(517,plain,
% 1.52/1.31 (((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | (texaswine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q74(stgenevievetexaswhite)))) <=> ((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | (~wine(stgenevievetexaswhite)) | texaswine(stgenevievetexaswhite) | (~q74(stgenevievetexaswhite)))),
% 1.52/1.31 inference(transitivity,[status(thm)],[516, 514])).
% 1.52/1.31 tff(518,plain,
% 1.52/1.31 ((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | (texaswine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q74(stgenevievetexaswhite)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(519,plain,
% 1.52/1.31 ((~![X: $i] : (texaswine(X) | (~wine(X)) | (~q74(X)))) | (~wine(stgenevievetexaswhite)) | texaswine(stgenevievetexaswhite) | (~q74(stgenevievetexaswhite))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[518, 517])).
% 1.52/1.31 tff(520,plain,
% 1.52/1.31 (texaswine(stgenevievetexaswhite) | (~q74(stgenevievetexaswhite))),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[519, 513, 500])).
% 1.52/1.31 tff(521,plain,
% 1.52/1.31 (texaswine(stgenevievetexaswhite)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[520, 469])).
% 1.52/1.31 tff(522,assumption,(![X: $i] : (~texaswine(X))), introduced(assumption)).
% 1.52/1.31 tff(523,plain,
% 1.52/1.31 ((~![X: $i] : (~texaswine(X))) | (~texaswine(stgenevievetexaswhite))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(524,plain,
% 1.52/1.31 ($false),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[523, 522, 521])).
% 1.52/1.31 tff(525,plain,(~![X: $i] : (~texaswine(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.31 tff(526,plain,
% 1.52/1.31 (^[X: $i] : refl((petitesyrah(X) | (~petitesyrah_aux(X))) <=> (petitesyrah(X) | (~petitesyrah_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(527,plain,
% 1.52/1.31 (![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X))) <=> ![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[526])).
% 1.52/1.31 tff(528,plain,
% 1.52/1.31 (![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X))) <=> ![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(529,plain,
% 1.52/1.31 (^[X: $i] : rewrite((petitesyrah_aux(X) => petitesyrah(X)) <=> (petitesyrah(X) | (~petitesyrah_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(530,plain,
% 1.52/1.31 (![X: $i] : (petitesyrah_aux(X) => petitesyrah(X)) <=> ![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[529])).
% 1.52/1.31 tff(531,axiom,(![X: $i] : (petitesyrah_aux(X) => petitesyrah(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula96')).
% 1.52/1.31 tff(532,plain,
% 1.52/1.31 (![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[531, 530])).
% 1.52/1.31 tff(533,plain,
% 1.52/1.31 (![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[532, 528])).
% 1.52/1.31 tff(534,plain,(
% 1.52/1.31 ![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))),
% 1.52/1.31 inference(skolemize,[status(sab)],[533])).
% 1.52/1.31 tff(535,plain,
% 1.52/1.31 (![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[534, 527])).
% 1.52/1.31 tff(536,plain,
% 1.52/1.31 (petitesyrah_aux(mariettapetitesyrah) <=> petitesyrah_aux(mariettapetitesyrah)),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(537,axiom,(petitesyrah_aux(mariettapetitesyrah)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula436')).
% 1.52/1.31 tff(538,plain,
% 1.52/1.31 (petitesyrah_aux(mariettapetitesyrah)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[537, 536])).
% 1.52/1.31 tff(539,plain,
% 1.52/1.31 (((~![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))) | (petitesyrah(mariettapetitesyrah) | (~petitesyrah_aux(mariettapetitesyrah)))) <=> ((~![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))) | petitesyrah(mariettapetitesyrah) | (~petitesyrah_aux(mariettapetitesyrah)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(540,plain,
% 1.52/1.31 ((~![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))) | (petitesyrah(mariettapetitesyrah) | (~petitesyrah_aux(mariettapetitesyrah)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(541,plain,
% 1.52/1.31 ((~![X: $i] : (petitesyrah(X) | (~petitesyrah_aux(X)))) | petitesyrah(mariettapetitesyrah) | (~petitesyrah_aux(mariettapetitesyrah))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[540, 539])).
% 1.52/1.31 tff(542,plain,
% 1.52/1.31 (petitesyrah(mariettapetitesyrah)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[541, 538, 535])).
% 1.52/1.31 tff(543,assumption,(![X: $i] : (~petitesyrah(X))), introduced(assumption)).
% 1.52/1.31 tff(544,plain,
% 1.52/1.31 ((~![X: $i] : (~petitesyrah(X))) | (~petitesyrah(mariettapetitesyrah))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(545,plain,
% 1.52/1.31 ($false),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[544, 543, 542])).
% 1.52/1.31 tff(546,plain,(~![X: $i] : (~petitesyrah(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.31 tff(547,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : refl(((~hassugar(X, Y)) | haswinedescriptor(X, Y)) <=> ((~hassugar(X, Y)) | haswinedescriptor(X, Y)))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(548,plain,
% 1.52/1.31 (![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y)) <=> ![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[547])).
% 1.52/1.31 tff(549,plain,
% 1.52/1.31 (![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y)) <=> ![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(550,plain,
% 1.52/1.31 (^[X: $i, Y: $i] : rewrite((hassugar(X, Y) => haswinedescriptor(X, Y)) <=> ((~hassugar(X, Y)) | haswinedescriptor(X, Y)))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(551,plain,
% 1.52/1.31 (![X: $i, Y: $i] : (hassugar(X, Y) => haswinedescriptor(X, Y)) <=> ![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[550])).
% 1.52/1.31 tff(552,axiom,(![X: $i, Y: $i] : (hassugar(X, Y) => haswinedescriptor(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula856')).
% 1.52/1.31 tff(553,plain,
% 1.52/1.31 (![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[552, 551])).
% 1.52/1.31 tff(554,plain,
% 1.52/1.31 (![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[553, 549])).
% 1.52/1.31 tff(555,plain,(
% 1.52/1.31 ![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))),
% 1.52/1.31 inference(skolemize,[status(sab)],[554])).
% 1.52/1.31 tff(556,plain,
% 1.52/1.31 (![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[555, 548])).
% 1.52/1.31 tff(557,plain,
% 1.52/1.31 (((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | ((~hassugar(pulignymontrachetwhiteburgundy, dry)) | haswinedescriptor(pulignymontrachetwhiteburgundy, dry))) <=> ((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | (~hassugar(pulignymontrachetwhiteburgundy, dry)) | haswinedescriptor(pulignymontrachetwhiteburgundy, dry))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(558,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | ((~hassugar(pulignymontrachetwhiteburgundy, dry)) | haswinedescriptor(pulignymontrachetwhiteburgundy, dry))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(559,plain,
% 1.52/1.31 ((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | (~hassugar(pulignymontrachetwhiteburgundy, dry)) | haswinedescriptor(pulignymontrachetwhiteburgundy, dry)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[558, 557])).
% 1.52/1.31 tff(560,plain,
% 1.52/1.31 (haswinedescriptor(pulignymontrachetwhiteburgundy, dry)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[559, 556, 143])).
% 1.52/1.31 tff(561,assumption,(![Y: $i, X: $i] : (~haswinedescriptor(X, Y))), introduced(assumption)).
% 1.52/1.31 tff(562,plain,
% 1.52/1.31 ((~![Y: $i, X: $i] : (~haswinedescriptor(X, Y))) | (~haswinedescriptor(pulignymontrachetwhiteburgundy, dry))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(563,plain,
% 1.52/1.31 ($false),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[562, 561, 560])).
% 1.52/1.31 tff(564,plain,(~![Y: $i, X: $i] : (~haswinedescriptor(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.31 tff(565,plain,
% 1.52/1.31 (^[X: $i] : refl((riesling(X) | (~riesling_aux(X))) <=> (riesling(X) | (~riesling_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(566,plain,
% 1.52/1.31 (![X: $i] : (riesling(X) | (~riesling_aux(X))) <=> ![X: $i] : (riesling(X) | (~riesling_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[565])).
% 1.52/1.31 tff(567,plain,
% 1.52/1.31 (![X: $i] : (riesling(X) | (~riesling_aux(X))) <=> ![X: $i] : (riesling(X) | (~riesling_aux(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(568,plain,
% 1.52/1.31 (^[X: $i] : rewrite((riesling_aux(X) => riesling(X)) <=> (riesling(X) | (~riesling_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(569,plain,
% 1.52/1.31 (![X: $i] : (riesling_aux(X) => riesling(X)) <=> ![X: $i] : (riesling(X) | (~riesling_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[568])).
% 1.52/1.31 tff(570,axiom,(![X: $i] : (riesling_aux(X) => riesling(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula101')).
% 1.52/1.31 tff(571,plain,
% 1.52/1.31 (![X: $i] : (riesling(X) | (~riesling_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[570, 569])).
% 1.52/1.31 tff(572,plain,
% 1.52/1.31 (![X: $i] : (riesling(X) | (~riesling_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[571, 567])).
% 1.52/1.31 tff(573,plain,(
% 1.52/1.31 ![X: $i] : (riesling(X) | (~riesling_aux(X)))),
% 1.52/1.31 inference(skolemize,[status(sab)],[572])).
% 1.52/1.31 tff(574,plain,
% 1.52/1.31 (![X: $i] : (riesling(X) | (~riesling_aux(X)))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[573, 566])).
% 1.52/1.31 tff(575,plain,
% 1.52/1.31 (riesling_aux(corbansdrywhiteriesling) <=> riesling_aux(corbansdrywhiteriesling)),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(576,axiom,(riesling_aux(corbansdrywhiteriesling)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula479')).
% 1.52/1.31 tff(577,plain,
% 1.52/1.31 (riesling_aux(corbansdrywhiteriesling)),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[576, 575])).
% 1.52/1.31 tff(578,plain,
% 1.52/1.31 (((~![X: $i] : (riesling(X) | (~riesling_aux(X)))) | (riesling(corbansdrywhiteriesling) | (~riesling_aux(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (riesling(X) | (~riesling_aux(X)))) | riesling(corbansdrywhiteriesling) | (~riesling_aux(corbansdrywhiteriesling)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.31 tff(579,plain,
% 1.52/1.31 ((~![X: $i] : (riesling(X) | (~riesling_aux(X)))) | (riesling(corbansdrywhiteriesling) | (~riesling_aux(corbansdrywhiteriesling)))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(580,plain,
% 1.52/1.31 ((~![X: $i] : (riesling(X) | (~riesling_aux(X)))) | riesling(corbansdrywhiteriesling) | (~riesling_aux(corbansdrywhiteriesling))),
% 1.52/1.31 inference(modus_ponens,[status(thm)],[579, 578])).
% 1.52/1.31 tff(581,plain,
% 1.52/1.31 (riesling(corbansdrywhiteriesling)),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[580, 577, 574])).
% 1.52/1.31 tff(582,assumption,(![X: $i] : (~riesling(X))), introduced(assumption)).
% 1.52/1.31 tff(583,plain,
% 1.52/1.31 ((~![X: $i] : (~riesling(X))) | (~riesling(corbansdrywhiteriesling))),
% 1.52/1.31 inference(quant_inst,[status(thm)],[])).
% 1.52/1.31 tff(584,plain,
% 1.52/1.31 ($false),
% 1.52/1.31 inference(unit_resolution,[status(thm)],[583, 582, 581])).
% 1.52/1.31 tff(585,plain,(~![X: $i] : (~riesling(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.31 tff(586,plain,
% 1.52/1.31 (^[X: $i] : refl((region(X) | (~region_aux(X))) <=> (region(X) | (~region_aux(X))))),
% 1.52/1.31 inference(bind,[status(th)],[])).
% 1.52/1.31 tff(587,plain,
% 1.52/1.31 (![X: $i] : (region(X) | (~region_aux(X))) <=> ![X: $i] : (region(X) | (~region_aux(X)))),
% 1.52/1.31 inference(quant_intro,[status(thm)],[586])).
% 1.52/1.31 tff(588,plain,
% 1.52/1.31 (![X: $i] : (region(X) | (~region_aux(X))) <=> ![X: $i] : (region(X) | (~region_aux(X)))),
% 1.52/1.31 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(589,plain,
% 1.52/1.32 (^[X: $i] : rewrite((region_aux(X) => region(X)) <=> (region(X) | (~region_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(590,plain,
% 1.52/1.32 (![X: $i] : (region_aux(X) => region(X)) <=> ![X: $i] : (region(X) | (~region_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[589])).
% 1.52/1.32 tff(591,axiom,(![X: $i] : (region_aux(X) => region(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula100')).
% 1.52/1.32 tff(592,plain,
% 1.52/1.32 (![X: $i] : (region(X) | (~region_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[591, 590])).
% 1.52/1.32 tff(593,plain,
% 1.52/1.32 (![X: $i] : (region(X) | (~region_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[592, 588])).
% 1.52/1.32 tff(594,plain,(
% 1.52/1.32 ![X: $i] : (region(X) | (~region_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[593])).
% 1.52/1.32 tff(595,plain,
% 1.52/1.32 (![X: $i] : (region(X) | (~region_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[594, 587])).
% 1.52/1.32 tff(596,plain,
% 1.52/1.32 (region_aux(californiaregion) <=> region_aux(californiaregion)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(597,axiom,(region_aux(californiaregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula443')).
% 1.52/1.32 tff(598,plain,
% 1.52/1.32 (region_aux(californiaregion)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[597, 596])).
% 1.52/1.32 tff(599,plain,
% 1.52/1.32 (((~![X: $i] : (region(X) | (~region_aux(X)))) | (region(californiaregion) | (~region_aux(californiaregion)))) <=> ((~![X: $i] : (region(X) | (~region_aux(X)))) | region(californiaregion) | (~region_aux(californiaregion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(600,plain,
% 1.52/1.32 ((~![X: $i] : (region(X) | (~region_aux(X)))) | (region(californiaregion) | (~region_aux(californiaregion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(601,plain,
% 1.52/1.32 ((~![X: $i] : (region(X) | (~region_aux(X)))) | region(californiaregion) | (~region_aux(californiaregion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[600, 599])).
% 1.52/1.32 tff(602,plain,
% 1.52/1.32 (region(californiaregion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[601, 598, 595])).
% 1.52/1.32 tff(603,assumption,(![X: $i] : (~region(X))), introduced(assumption)).
% 1.52/1.32 tff(604,plain,
% 1.52/1.32 ((~![X: $i] : (~region(X))) | (~region(californiaregion))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(605,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[604, 603, 602])).
% 1.52/1.32 tff(606,plain,(~![X: $i] : (~region(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(607,plain,
% 1.52/1.32 (^[X: $i] : refl((port(X) | (~port_aux(X))) <=> (port(X) | (~port_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(608,plain,
% 1.52/1.32 (![X: $i] : (port(X) | (~port_aux(X))) <=> ![X: $i] : (port(X) | (~port_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[607])).
% 1.52/1.32 tff(609,plain,
% 1.52/1.32 (![X: $i] : (port(X) | (~port_aux(X))) <=> ![X: $i] : (port(X) | (~port_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(610,plain,
% 1.52/1.32 (^[X: $i] : rewrite((port_aux(X) => port(X)) <=> (port(X) | (~port_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(611,plain,
% 1.52/1.32 (![X: $i] : (port_aux(X) => port(X)) <=> ![X: $i] : (port(X) | (~port_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[610])).
% 1.52/1.32 tff(612,axiom,(![X: $i] : (port_aux(X) => port(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula98')).
% 1.52/1.32 tff(613,plain,
% 1.52/1.32 (![X: $i] : (port(X) | (~port_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[612, 611])).
% 1.52/1.32 tff(614,plain,
% 1.52/1.32 (![X: $i] : (port(X) | (~port_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[613, 609])).
% 1.52/1.32 tff(615,plain,(
% 1.52/1.32 ![X: $i] : (port(X) | (~port_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[614])).
% 1.52/1.32 tff(616,plain,
% 1.52/1.32 (![X: $i] : (port(X) | (~port_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[615, 608])).
% 1.52/1.32 tff(617,plain,
% 1.52/1.32 (port_aux(taylorport) <=> port_aux(taylorport)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(618,axiom,(port_aux(taylorport)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula441')).
% 1.52/1.32 tff(619,plain,
% 1.52/1.32 (port_aux(taylorport)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[618, 617])).
% 1.52/1.32 tff(620,plain,
% 1.52/1.32 (((~![X: $i] : (port(X) | (~port_aux(X)))) | (port(taylorport) | (~port_aux(taylorport)))) <=> ((~![X: $i] : (port(X) | (~port_aux(X)))) | port(taylorport) | (~port_aux(taylorport)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(621,plain,
% 1.52/1.32 ((~![X: $i] : (port(X) | (~port_aux(X)))) | (port(taylorport) | (~port_aux(taylorport)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(622,plain,
% 1.52/1.32 ((~![X: $i] : (port(X) | (~port_aux(X)))) | port(taylorport) | (~port_aux(taylorport))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[621, 620])).
% 1.52/1.32 tff(623,plain,
% 1.52/1.32 (port(taylorport)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[622, 619, 616])).
% 1.52/1.32 tff(624,plain,
% 1.52/1.32 (^[X: $i] : refl((redwine(X) | (~port(X))) <=> (redwine(X) | (~port(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(625,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~port(X))) <=> ![X: $i] : (redwine(X) | (~port(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[624])).
% 1.52/1.32 tff(626,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~port(X))) <=> ![X: $i] : (redwine(X) | (~port(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(627,plain,
% 1.52/1.32 (^[X: $i] : rewrite((port(X) => redwine(X)) <=> (redwine(X) | (~port(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(628,plain,
% 1.52/1.32 (![X: $i] : (port(X) => redwine(X)) <=> ![X: $i] : (redwine(X) | (~port(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[627])).
% 1.52/1.32 tff(629,axiom,(![X: $i] : (port(X) => redwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula524')).
% 1.52/1.32 tff(630,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~port(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[629, 628])).
% 1.52/1.32 tff(631,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~port(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[630, 626])).
% 1.52/1.32 tff(632,plain,(
% 1.52/1.32 ![X: $i] : (redwine(X) | (~port(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[631])).
% 1.52/1.32 tff(633,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~port(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[632, 625])).
% 1.52/1.32 tff(634,plain,
% 1.52/1.32 (((~![X: $i] : (redwine(X) | (~port(X)))) | (redwine(taylorport) | (~port(taylorport)))) <=> ((~![X: $i] : (redwine(X) | (~port(X)))) | redwine(taylorport) | (~port(taylorport)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(635,plain,
% 1.52/1.32 ((~![X: $i] : (redwine(X) | (~port(X)))) | (redwine(taylorport) | (~port(taylorport)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(636,plain,
% 1.52/1.32 ((~![X: $i] : (redwine(X) | (~port(X)))) | redwine(taylorport) | (~port(taylorport))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[635, 634])).
% 1.52/1.32 tff(637,plain,
% 1.52/1.32 (redwine(taylorport)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[636, 633, 623])).
% 1.52/1.32 tff(638,assumption,(![X: $i] : (~redwine(X))), introduced(assumption)).
% 1.52/1.32 tff(639,plain,
% 1.52/1.32 ((~![X: $i] : (~redwine(X))) | (~redwine(taylorport))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(640,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[639, 638, 637])).
% 1.52/1.32 tff(641,plain,(~![X: $i] : (~redwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(642,assumption,(![X: $i] : (~redtablewine(X))), introduced(assumption)).
% 1.52/1.32 tff(643,plain,
% 1.52/1.32 ((~![X: $i] : (~redtablewine(X))) | (~redtablewine(mariettaoldvinesred))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(644,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[643, 642, 384])).
% 1.52/1.32 tff(645,plain,(~![X: $i] : (~redtablewine(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(646,plain,
% 1.52/1.32 (^[X: $i] : refl((cotesdor(X) | (~cotesdor_aux(X))) <=> (cotesdor(X) | (~cotesdor_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(647,plain,
% 1.52/1.32 (![X: $i] : (cotesdor(X) | (~cotesdor_aux(X))) <=> ![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[646])).
% 1.52/1.32 tff(648,plain,
% 1.52/1.32 (![X: $i] : (cotesdor(X) | (~cotesdor_aux(X))) <=> ![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(649,plain,
% 1.52/1.32 (^[X: $i] : rewrite((cotesdor_aux(X) => cotesdor(X)) <=> (cotesdor(X) | (~cotesdor_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(650,plain,
% 1.52/1.32 (![X: $i] : (cotesdor_aux(X) => cotesdor(X)) <=> ![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[649])).
% 1.52/1.32 tff(651,axiom,(![X: $i] : (cotesdor_aux(X) => cotesdor(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula86')).
% 1.52/1.32 tff(652,plain,
% 1.52/1.32 (![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[651, 650])).
% 1.52/1.32 tff(653,plain,
% 1.52/1.32 (![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[652, 648])).
% 1.52/1.32 tff(654,plain,(
% 1.52/1.32 ![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[653])).
% 1.52/1.32 tff(655,plain,
% 1.52/1.32 (![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[654, 647])).
% 1.52/1.32 tff(656,plain,
% 1.52/1.32 (cotesdor_aux(closdevougeotcotesdor) <=> cotesdor_aux(closdevougeotcotesdor)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(657,axiom,(cotesdor_aux(closdevougeotcotesdor)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula432')).
% 1.52/1.32 tff(658,plain,
% 1.52/1.32 (cotesdor_aux(closdevougeotcotesdor)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[657, 656])).
% 1.52/1.32 tff(659,plain,
% 1.52/1.32 (((~![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))) | (cotesdor(closdevougeotcotesdor) | (~cotesdor_aux(closdevougeotcotesdor)))) <=> ((~![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))) | cotesdor(closdevougeotcotesdor) | (~cotesdor_aux(closdevougeotcotesdor)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(660,plain,
% 1.52/1.32 ((~![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))) | (cotesdor(closdevougeotcotesdor) | (~cotesdor_aux(closdevougeotcotesdor)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(661,plain,
% 1.52/1.32 ((~![X: $i] : (cotesdor(X) | (~cotesdor_aux(X)))) | cotesdor(closdevougeotcotesdor) | (~cotesdor_aux(closdevougeotcotesdor))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[660, 659])).
% 1.52/1.32 tff(662,plain,
% 1.52/1.32 (cotesdor(closdevougeotcotesdor)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[661, 658, 655])).
% 1.52/1.32 tff(663,plain,
% 1.52/1.32 (^[X: $i] : refl((redburgundy(X) | (~cotesdor(X))) <=> (redburgundy(X) | (~cotesdor(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(664,plain,
% 1.52/1.32 (![X: $i] : (redburgundy(X) | (~cotesdor(X))) <=> ![X: $i] : (redburgundy(X) | (~cotesdor(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[663])).
% 1.52/1.32 tff(665,plain,
% 1.52/1.32 (![X: $i] : (redburgundy(X) | (~cotesdor(X))) <=> ![X: $i] : (redburgundy(X) | (~cotesdor(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(666,plain,
% 1.52/1.32 (^[X: $i] : rewrite((cotesdor(X) => redburgundy(X)) <=> (redburgundy(X) | (~cotesdor(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(667,plain,
% 1.52/1.32 (![X: $i] : (cotesdor(X) => redburgundy(X)) <=> ![X: $i] : (redburgundy(X) | (~cotesdor(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[666])).
% 1.52/1.32 tff(668,axiom,(![X: $i] : (cotesdor(X) => redburgundy(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula516')).
% 1.52/1.32 tff(669,plain,
% 1.52/1.32 (![X: $i] : (redburgundy(X) | (~cotesdor(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[668, 667])).
% 1.52/1.32 tff(670,plain,
% 1.52/1.32 (![X: $i] : (redburgundy(X) | (~cotesdor(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[669, 665])).
% 1.52/1.32 tff(671,plain,(
% 1.52/1.32 ![X: $i] : (redburgundy(X) | (~cotesdor(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[670])).
% 1.52/1.32 tff(672,plain,
% 1.52/1.32 (![X: $i] : (redburgundy(X) | (~cotesdor(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[671, 664])).
% 1.52/1.32 tff(673,plain,
% 1.52/1.32 (((~![X: $i] : (redburgundy(X) | (~cotesdor(X)))) | (redburgundy(closdevougeotcotesdor) | (~cotesdor(closdevougeotcotesdor)))) <=> ((~![X: $i] : (redburgundy(X) | (~cotesdor(X)))) | redburgundy(closdevougeotcotesdor) | (~cotesdor(closdevougeotcotesdor)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(674,plain,
% 1.52/1.32 ((~![X: $i] : (redburgundy(X) | (~cotesdor(X)))) | (redburgundy(closdevougeotcotesdor) | (~cotesdor(closdevougeotcotesdor)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(675,plain,
% 1.52/1.32 ((~![X: $i] : (redburgundy(X) | (~cotesdor(X)))) | redburgundy(closdevougeotcotesdor) | (~cotesdor(closdevougeotcotesdor))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[674, 673])).
% 1.52/1.32 tff(676,plain,
% 1.52/1.32 (redburgundy(closdevougeotcotesdor)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[675, 672, 662])).
% 1.52/1.32 tff(677,assumption,(![X: $i] : (~redburgundy(X))), introduced(assumption)).
% 1.52/1.32 tff(678,plain,
% 1.52/1.32 ((~![X: $i] : (~redburgundy(X))) | (~redburgundy(closdevougeotcotesdor))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(679,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[678, 677, 676])).
% 1.52/1.32 tff(680,plain,(~![X: $i] : (~redburgundy(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(681,plain,
% 1.52/1.32 (^[X: $i] : refl((margaux(X) | (~margaux_aux(X))) <=> (margaux(X) | (~margaux_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(682,plain,
% 1.52/1.32 (![X: $i] : (margaux(X) | (~margaux_aux(X))) <=> ![X: $i] : (margaux(X) | (~margaux_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[681])).
% 1.52/1.32 tff(683,plain,
% 1.52/1.32 (![X: $i] : (margaux(X) | (~margaux_aux(X))) <=> ![X: $i] : (margaux(X) | (~margaux_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(684,plain,
% 1.52/1.32 (^[X: $i] : rewrite((margaux_aux(X) => margaux(X)) <=> (margaux(X) | (~margaux_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(685,plain,
% 1.52/1.32 (![X: $i] : (margaux_aux(X) => margaux(X)) <=> ![X: $i] : (margaux(X) | (~margaux_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[684])).
% 1.52/1.32 tff(686,axiom,(![X: $i] : (margaux_aux(X) => margaux(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula90')).
% 1.52/1.32 tff(687,plain,
% 1.52/1.32 (![X: $i] : (margaux(X) | (~margaux_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[686, 685])).
% 1.52/1.32 tff(688,plain,
% 1.52/1.32 (![X: $i] : (margaux(X) | (~margaux_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[687, 683])).
% 1.52/1.32 tff(689,plain,(
% 1.52/1.32 ![X: $i] : (margaux(X) | (~margaux_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[688])).
% 1.52/1.32 tff(690,plain,
% 1.52/1.32 (![X: $i] : (margaux(X) | (~margaux_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[689, 682])).
% 1.52/1.32 tff(691,plain,
% 1.52/1.32 (margaux_aux(chateaumargaux) <=> margaux_aux(chateaumargaux)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(692,axiom,(margaux_aux(chateaumargaux)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula413')).
% 1.52/1.32 tff(693,plain,
% 1.52/1.32 (margaux_aux(chateaumargaux)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[692, 691])).
% 1.52/1.32 tff(694,plain,
% 1.52/1.32 (((~![X: $i] : (margaux(X) | (~margaux_aux(X)))) | (margaux(chateaumargaux) | (~margaux_aux(chateaumargaux)))) <=> ((~![X: $i] : (margaux(X) | (~margaux_aux(X)))) | margaux(chateaumargaux) | (~margaux_aux(chateaumargaux)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(695,plain,
% 1.52/1.32 ((~![X: $i] : (margaux(X) | (~margaux_aux(X)))) | (margaux(chateaumargaux) | (~margaux_aux(chateaumargaux)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(696,plain,
% 1.52/1.32 ((~![X: $i] : (margaux(X) | (~margaux_aux(X)))) | margaux(chateaumargaux) | (~margaux_aux(chateaumargaux))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[695, 694])).
% 1.52/1.32 tff(697,plain,
% 1.52/1.32 (margaux(chateaumargaux)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[696, 693, 690])).
% 1.52/1.32 tff(698,assumption,(![X: $i] : (~margaux(X))), introduced(assumption)).
% 1.52/1.32 tff(699,plain,
% 1.52/1.32 ((~![X: $i] : (~margaux(X))) | (~margaux(chateaumargaux))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(700,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[699, 698, 697])).
% 1.52/1.32 tff(701,plain,(~![X: $i] : (~margaux(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(702,plain,
% 1.52/1.32 (^[X: $i] : refl((stemilion(X) | (~stemilion_aux(X))) <=> (stemilion(X) | (~stemilion_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(703,plain,
% 1.52/1.32 (![X: $i] : (stemilion(X) | (~stemilion_aux(X))) <=> ![X: $i] : (stemilion(X) | (~stemilion_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[702])).
% 1.52/1.32 tff(704,plain,
% 1.52/1.32 (![X: $i] : (stemilion(X) | (~stemilion_aux(X))) <=> ![X: $i] : (stemilion(X) | (~stemilion_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(705,plain,
% 1.52/1.32 (^[X: $i] : rewrite((stemilion_aux(X) => stemilion(X)) <=> (stemilion(X) | (~stemilion_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(706,plain,
% 1.52/1.32 (![X: $i] : (stemilion_aux(X) => stemilion(X)) <=> ![X: $i] : (stemilion(X) | (~stemilion_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[705])).
% 1.52/1.32 tff(707,axiom,(![X: $i] : (stemilion_aux(X) => stemilion(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula106')).
% 1.52/1.32 tff(708,plain,
% 1.52/1.32 (![X: $i] : (stemilion(X) | (~stemilion_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[707, 706])).
% 1.52/1.32 tff(709,plain,
% 1.52/1.32 (![X: $i] : (stemilion(X) | (~stemilion_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[708, 704])).
% 1.52/1.32 tff(710,plain,(
% 1.52/1.32 ![X: $i] : (stemilion(X) | (~stemilion_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[709])).
% 1.52/1.32 tff(711,plain,
% 1.52/1.32 (![X: $i] : (stemilion(X) | (~stemilion_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[710, 703])).
% 1.52/1.32 tff(712,plain,
% 1.52/1.32 (stemilion_aux(chateauchevalblancstemilion) <=> stemilion_aux(chateauchevalblancstemilion)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(713,axiom,(stemilion_aux(chateauchevalblancstemilion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula488')).
% 1.52/1.32 tff(714,plain,
% 1.52/1.32 (stemilion_aux(chateauchevalblancstemilion)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[713, 712])).
% 1.52/1.32 tff(715,plain,
% 1.52/1.32 (((~![X: $i] : (stemilion(X) | (~stemilion_aux(X)))) | (stemilion(chateauchevalblancstemilion) | (~stemilion_aux(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (stemilion(X) | (~stemilion_aux(X)))) | stemilion(chateauchevalblancstemilion) | (~stemilion_aux(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(716,plain,
% 1.52/1.32 ((~![X: $i] : (stemilion(X) | (~stemilion_aux(X)))) | (stemilion(chateauchevalblancstemilion) | (~stemilion_aux(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(717,plain,
% 1.52/1.32 ((~![X: $i] : (stemilion(X) | (~stemilion_aux(X)))) | stemilion(chateauchevalblancstemilion) | (~stemilion_aux(chateauchevalblancstemilion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[716, 715])).
% 1.52/1.32 tff(718,plain,
% 1.52/1.32 (stemilion(chateauchevalblancstemilion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[717, 714, 711])).
% 1.52/1.32 tff(719,plain,
% 1.52/1.32 (^[X: $i] : refl((q0(X) | (~stemilion(X))) <=> (q0(X) | (~stemilion(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(720,plain,
% 1.52/1.32 (![X: $i] : (q0(X) | (~stemilion(X))) <=> ![X: $i] : (q0(X) | (~stemilion(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[719])).
% 1.52/1.32 tff(721,plain,
% 1.52/1.32 (![X: $i] : (q0(X) | (~stemilion(X))) <=> ![X: $i] : (q0(X) | (~stemilion(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(722,plain,
% 1.52/1.32 (^[X: $i] : rewrite((stemilion(X) => q0(X)) <=> (q0(X) | (~stemilion(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(723,plain,
% 1.52/1.32 (![X: $i] : (stemilion(X) => q0(X)) <=> ![X: $i] : (q0(X) | (~stemilion(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[722])).
% 1.52/1.32 tff(724,axiom,(![X: $i] : (stemilion(X) => q0(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula125')).
% 1.52/1.32 tff(725,plain,
% 1.52/1.32 (![X: $i] : (q0(X) | (~stemilion(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[724, 723])).
% 1.52/1.32 tff(726,plain,
% 1.52/1.32 (![X: $i] : (q0(X) | (~stemilion(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[725, 721])).
% 1.52/1.32 tff(727,plain,(
% 1.52/1.32 ![X: $i] : (q0(X) | (~stemilion(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[726])).
% 1.52/1.32 tff(728,plain,
% 1.52/1.32 (![X: $i] : (q0(X) | (~stemilion(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[727, 720])).
% 1.52/1.32 tff(729,plain,
% 1.52/1.32 (((~![X: $i] : (q0(X) | (~stemilion(X)))) | (q0(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (q0(X) | (~stemilion(X)))) | q0(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(730,plain,
% 1.52/1.32 ((~![X: $i] : (q0(X) | (~stemilion(X)))) | (q0(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(731,plain,
% 1.52/1.32 ((~![X: $i] : (q0(X) | (~stemilion(X)))) | q0(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[730, 729])).
% 1.52/1.32 tff(732,plain,
% 1.52/1.32 (q0(chateauchevalblancstemilion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[731, 728, 718])).
% 1.52/1.32 tff(733,plain,
% 1.52/1.32 (^[X: $i] : refl((q41(X) | (~q0(X))) <=> (q41(X) | (~q0(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(734,plain,
% 1.52/1.32 (![X: $i] : (q41(X) | (~q0(X))) <=> ![X: $i] : (q41(X) | (~q0(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[733])).
% 1.52/1.32 tff(735,plain,
% 1.52/1.32 (![X: $i] : (q41(X) | (~q0(X))) <=> ![X: $i] : (q41(X) | (~q0(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(736,plain,
% 1.52/1.32 (^[X: $i] : rewrite((q0(X) => q41(X)) <=> (q41(X) | (~q0(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(737,plain,
% 1.52/1.32 (![X: $i] : (q0(X) => q41(X)) <=> ![X: $i] : (q41(X) | (~q0(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[736])).
% 1.52/1.32 tff(738,axiom,(![X: $i] : (q0(X) => q41(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula277')).
% 1.52/1.32 tff(739,plain,
% 1.52/1.32 (![X: $i] : (q41(X) | (~q0(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[738, 737])).
% 1.52/1.32 tff(740,plain,
% 1.52/1.32 (![X: $i] : (q41(X) | (~q0(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[739, 735])).
% 1.52/1.32 tff(741,plain,(
% 1.52/1.32 ![X: $i] : (q41(X) | (~q0(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[740])).
% 1.52/1.32 tff(742,plain,
% 1.52/1.32 (![X: $i] : (q41(X) | (~q0(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[741, 734])).
% 1.52/1.32 tff(743,plain,
% 1.52/1.32 (((~![X: $i] : (q41(X) | (~q0(X)))) | (q41(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (q41(X) | (~q0(X)))) | q41(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(744,plain,
% 1.52/1.32 ((~![X: $i] : (q41(X) | (~q0(X)))) | (q41(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(745,plain,
% 1.52/1.32 ((~![X: $i] : (q41(X) | (~q0(X)))) | q41(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[744, 743])).
% 1.52/1.32 tff(746,plain,
% 1.52/1.32 (q41(chateauchevalblancstemilion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[745, 742, 732])).
% 1.52/1.32 tff(747,plain,
% 1.52/1.32 (^[X: $i] : refl((wine(X) | (~q0(X))) <=> (wine(X) | (~q0(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(748,plain,
% 1.52/1.32 (![X: $i] : (wine(X) | (~q0(X))) <=> ![X: $i] : (wine(X) | (~q0(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[747])).
% 1.52/1.32 tff(749,plain,
% 1.52/1.32 (![X: $i] : (wine(X) | (~q0(X))) <=> ![X: $i] : (wine(X) | (~q0(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(750,plain,
% 1.52/1.32 (^[X: $i] : rewrite((q0(X) => wine(X)) <=> (wine(X) | (~q0(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(751,plain,
% 1.52/1.32 (![X: $i] : (q0(X) => wine(X)) <=> ![X: $i] : (wine(X) | (~q0(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[750])).
% 1.52/1.32 tff(752,axiom,(![X: $i] : (q0(X) => wine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula603')).
% 1.52/1.32 tff(753,plain,
% 1.52/1.32 (![X: $i] : (wine(X) | (~q0(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[752, 751])).
% 1.52/1.32 tff(754,plain,
% 1.52/1.32 (![X: $i] : (wine(X) | (~q0(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[753, 749])).
% 1.52/1.32 tff(755,plain,(
% 1.52/1.32 ![X: $i] : (wine(X) | (~q0(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[754])).
% 1.52/1.32 tff(756,plain,
% 1.52/1.32 (![X: $i] : (wine(X) | (~q0(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[755, 748])).
% 1.52/1.32 tff(757,plain,
% 1.52/1.32 (((~![X: $i] : (wine(X) | (~q0(X)))) | (wine(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (wine(X) | (~q0(X)))) | wine(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(758,plain,
% 1.52/1.32 ((~![X: $i] : (wine(X) | (~q0(X)))) | (wine(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(759,plain,
% 1.52/1.32 ((~![X: $i] : (wine(X) | (~q0(X)))) | wine(chateauchevalblancstemilion) | (~q0(chateauchevalblancstemilion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[758, 757])).
% 1.52/1.32 tff(760,plain,
% 1.52/1.32 (wine(chateauchevalblancstemilion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[759, 756, 732])).
% 1.52/1.32 tff(761,plain,
% 1.52/1.32 (^[X: $i] : refl((redwine(X) | (~wine(X)) | (~q41(X))) <=> (redwine(X) | (~wine(X)) | (~q41(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(762,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X))) <=> ![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[761])).
% 1.52/1.32 tff(763,plain,
% 1.52/1.32 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q41(X) & wine(X)) <=> (~((~q41(X)) | (~wine(X))))), ((~(q41(X) & wine(X))) <=> (~(~((~q41(X)) | (~wine(X))))))), rewrite((~(~((~q41(X)) | (~wine(X))))) <=> ((~q41(X)) | (~wine(X)))), ((~(q41(X) & wine(X))) <=> ((~q41(X)) | (~wine(X))))), ((redwine(X) | (~(q41(X) & wine(X)))) <=> (redwine(X) | ((~q41(X)) | (~wine(X)))))), rewrite((redwine(X) | ((~q41(X)) | (~wine(X)))) <=> (redwine(X) | (~wine(X)) | (~q41(X)))), ((redwine(X) | (~(q41(X) & wine(X)))) <=> (redwine(X) | (~wine(X)) | (~q41(X)))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(764,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~(q41(X) & wine(X)))) <=> ![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[763])).
% 1.52/1.32 tff(765,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~(q41(X) & wine(X)))) <=> ![X: $i] : (redwine(X) | (~(q41(X) & wine(X))))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(766,plain,
% 1.52/1.32 (^[X: $i] : rewrite(((q41(X) & wine(X)) => redwine(X)) <=> (redwine(X) | (~(q41(X) & wine(X)))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(767,plain,
% 1.52/1.32 (![X: $i] : ((q41(X) & wine(X)) => redwine(X)) <=> ![X: $i] : (redwine(X) | (~(q41(X) & wine(X))))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[766])).
% 1.52/1.32 tff(768,axiom,(![X: $i] : ((q41(X) & wine(X)) => redwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula525')).
% 1.52/1.32 tff(769,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~(q41(X) & wine(X))))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[768, 767])).
% 1.52/1.32 tff(770,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~(q41(X) & wine(X))))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[769, 765])).
% 1.52/1.32 tff(771,plain,(
% 1.52/1.32 ![X: $i] : (redwine(X) | (~(q41(X) & wine(X))))),
% 1.52/1.32 inference(skolemize,[status(sab)],[770])).
% 1.52/1.32 tff(772,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[771, 764])).
% 1.52/1.32 tff(773,plain,
% 1.52/1.32 (![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[772, 762])).
% 1.52/1.32 tff(774,plain,
% 1.52/1.32 (((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | ((~wine(chateauchevalblancstemilion)) | redwine(chateauchevalblancstemilion) | (~q41(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (~wine(chateauchevalblancstemilion)) | redwine(chateauchevalblancstemilion) | (~q41(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(775,plain,
% 1.52/1.32 ((redwine(chateauchevalblancstemilion) | (~wine(chateauchevalblancstemilion)) | (~q41(chateauchevalblancstemilion))) <=> ((~wine(chateauchevalblancstemilion)) | redwine(chateauchevalblancstemilion) | (~q41(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(776,plain,
% 1.52/1.32 (((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (redwine(chateauchevalblancstemilion) | (~wine(chateauchevalblancstemilion)) | (~q41(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | ((~wine(chateauchevalblancstemilion)) | redwine(chateauchevalblancstemilion) | (~q41(chateauchevalblancstemilion))))),
% 1.52/1.32 inference(monotonicity,[status(thm)],[775])).
% 1.52/1.32 tff(777,plain,
% 1.52/1.32 (((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (redwine(chateauchevalblancstemilion) | (~wine(chateauchevalblancstemilion)) | (~q41(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (~wine(chateauchevalblancstemilion)) | redwine(chateauchevalblancstemilion) | (~q41(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(transitivity,[status(thm)],[776, 774])).
% 1.52/1.32 tff(778,plain,
% 1.52/1.32 ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (redwine(chateauchevalblancstemilion) | (~wine(chateauchevalblancstemilion)) | (~q41(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(779,plain,
% 1.52/1.32 ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (~wine(chateauchevalblancstemilion)) | redwine(chateauchevalblancstemilion) | (~q41(chateauchevalblancstemilion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[778, 777])).
% 1.52/1.32 tff(780,plain,
% 1.52/1.32 (redwine(chateauchevalblancstemilion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[779, 773, 760, 746])).
% 1.52/1.32 tff(781,plain,
% 1.52/1.32 (^[X: $i] : refl((bordeaux(X) | (~stemilion(X))) <=> (bordeaux(X) | (~stemilion(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(782,plain,
% 1.52/1.32 (![X: $i] : (bordeaux(X) | (~stemilion(X))) <=> ![X: $i] : (bordeaux(X) | (~stemilion(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[781])).
% 1.52/1.32 tff(783,plain,
% 1.52/1.32 (![X: $i] : (bordeaux(X) | (~stemilion(X))) <=> ![X: $i] : (bordeaux(X) | (~stemilion(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(784,plain,
% 1.52/1.32 (^[X: $i] : rewrite((stemilion(X) => bordeaux(X)) <=> (bordeaux(X) | (~stemilion(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(785,plain,
% 1.52/1.32 (![X: $i] : (stemilion(X) => bordeaux(X)) <=> ![X: $i] : (bordeaux(X) | (~stemilion(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[784])).
% 1.52/1.32 tff(786,axiom,(![X: $i] : (stemilion(X) => bordeaux(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula421')).
% 1.52/1.32 tff(787,plain,
% 1.52/1.32 (![X: $i] : (bordeaux(X) | (~stemilion(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[786, 785])).
% 1.52/1.32 tff(788,plain,
% 1.52/1.32 (![X: $i] : (bordeaux(X) | (~stemilion(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[787, 783])).
% 1.52/1.32 tff(789,plain,(
% 1.52/1.32 ![X: $i] : (bordeaux(X) | (~stemilion(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[788])).
% 1.52/1.32 tff(790,plain,
% 1.52/1.32 (![X: $i] : (bordeaux(X) | (~stemilion(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[789, 782])).
% 1.52/1.32 tff(791,plain,
% 1.52/1.32 (((~![X: $i] : (bordeaux(X) | (~stemilion(X)))) | (bordeaux(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (bordeaux(X) | (~stemilion(X)))) | bordeaux(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(792,plain,
% 1.52/1.32 ((~![X: $i] : (bordeaux(X) | (~stemilion(X)))) | (bordeaux(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(793,plain,
% 1.52/1.32 ((~![X: $i] : (bordeaux(X) | (~stemilion(X)))) | bordeaux(chateauchevalblancstemilion) | (~stemilion(chateauchevalblancstemilion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[792, 791])).
% 1.52/1.32 tff(794,plain,
% 1.52/1.32 (bordeaux(chateauchevalblancstemilion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[793, 790, 718])).
% 1.52/1.32 tff(795,plain,
% 1.52/1.32 (^[X: $i] : refl((redbordeaux(X) | (~redwine(X)) | (~bordeaux(X))) <=> (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(796,plain,
% 1.52/1.32 (![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X))) <=> ![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[795])).
% 1.52/1.32 tff(797,plain,
% 1.52/1.32 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((redwine(X) & bordeaux(X)) <=> (~((~redwine(X)) | (~bordeaux(X))))), ((~(redwine(X) & bordeaux(X))) <=> (~(~((~redwine(X)) | (~bordeaux(X))))))), rewrite((~(~((~redwine(X)) | (~bordeaux(X))))) <=> ((~redwine(X)) | (~bordeaux(X)))), ((~(redwine(X) & bordeaux(X))) <=> ((~redwine(X)) | (~bordeaux(X))))), ((redbordeaux(X) | (~(redwine(X) & bordeaux(X)))) <=> (redbordeaux(X) | ((~redwine(X)) | (~bordeaux(X)))))), rewrite((redbordeaux(X) | ((~redwine(X)) | (~bordeaux(X)))) <=> (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))), ((redbordeaux(X) | (~(redwine(X) & bordeaux(X)))) <=> (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(798,plain,
% 1.52/1.32 (![X: $i] : (redbordeaux(X) | (~(redwine(X) & bordeaux(X)))) <=> ![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[797])).
% 1.52/1.32 tff(799,plain,
% 1.52/1.32 (![X: $i] : (redbordeaux(X) | (~(redwine(X) & bordeaux(X)))) <=> ![X: $i] : (redbordeaux(X) | (~(redwine(X) & bordeaux(X))))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(800,plain,
% 1.52/1.32 (^[X: $i] : rewrite(((redwine(X) & bordeaux(X)) => redbordeaux(X)) <=> (redbordeaux(X) | (~(redwine(X) & bordeaux(X)))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(801,plain,
% 1.52/1.32 (![X: $i] : ((redwine(X) & bordeaux(X)) => redbordeaux(X)) <=> ![X: $i] : (redbordeaux(X) | (~(redwine(X) & bordeaux(X))))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[800])).
% 1.52/1.32 tff(802,axiom,(![X: $i] : ((redwine(X) & bordeaux(X)) => redbordeaux(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula514')).
% 1.52/1.32 tff(803,plain,
% 1.52/1.32 (![X: $i] : (redbordeaux(X) | (~(redwine(X) & bordeaux(X))))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[802, 801])).
% 1.52/1.32 tff(804,plain,
% 1.52/1.32 (![X: $i] : (redbordeaux(X) | (~(redwine(X) & bordeaux(X))))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[803, 799])).
% 1.52/1.32 tff(805,plain,(
% 1.52/1.32 ![X: $i] : (redbordeaux(X) | (~(redwine(X) & bordeaux(X))))),
% 1.52/1.32 inference(skolemize,[status(sab)],[804])).
% 1.52/1.32 tff(806,plain,
% 1.52/1.32 (![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[805, 798])).
% 1.52/1.32 tff(807,plain,
% 1.52/1.32 (![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[806, 796])).
% 1.52/1.32 tff(808,plain,
% 1.52/1.32 (((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | ((~bordeaux(chateauchevalblancstemilion)) | redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | (~bordeaux(chateauchevalblancstemilion)) | redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(809,plain,
% 1.52/1.32 ((redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)) | (~bordeaux(chateauchevalblancstemilion))) <=> ((~bordeaux(chateauchevalblancstemilion)) | redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(810,plain,
% 1.52/1.32 (((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | (redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)) | (~bordeaux(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | ((~bordeaux(chateauchevalblancstemilion)) | redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion))))),
% 1.52/1.32 inference(monotonicity,[status(thm)],[809])).
% 1.52/1.32 tff(811,plain,
% 1.52/1.32 (((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | (redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)) | (~bordeaux(chateauchevalblancstemilion)))) <=> ((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | (~bordeaux(chateauchevalblancstemilion)) | redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(transitivity,[status(thm)],[810, 808])).
% 1.52/1.32 tff(812,plain,
% 1.52/1.32 ((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | (redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion)) | (~bordeaux(chateauchevalblancstemilion)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(813,plain,
% 1.52/1.32 ((~![X: $i] : (redbordeaux(X) | (~redwine(X)) | (~bordeaux(X)))) | (~bordeaux(chateauchevalblancstemilion)) | redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[812, 811])).
% 1.52/1.32 tff(814,plain,
% 1.52/1.32 (redbordeaux(chateauchevalblancstemilion) | (~redwine(chateauchevalblancstemilion))),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[813, 807, 794])).
% 1.52/1.32 tff(815,plain,
% 1.52/1.32 (redbordeaux(chateauchevalblancstemilion)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[814, 780])).
% 1.52/1.32 tff(816,assumption,(![X: $i] : (~redbordeaux(X))), introduced(assumption)).
% 1.52/1.32 tff(817,plain,
% 1.52/1.32 ((~![X: $i] : (~redbordeaux(X))) | (~redbordeaux(chateauchevalblancstemilion))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(818,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[817, 816, 815])).
% 1.52/1.32 tff(819,plain,(~![X: $i] : (~redbordeaux(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(820,plain,
% 1.52/1.32 (^[X: $i] : refl((meursault(X) | (~meursault_aux(X))) <=> (meursault(X) | (~meursault_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(821,plain,
% 1.52/1.32 (![X: $i] : (meursault(X) | (~meursault_aux(X))) <=> ![X: $i] : (meursault(X) | (~meursault_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[820])).
% 1.52/1.32 tff(822,plain,
% 1.52/1.32 (![X: $i] : (meursault(X) | (~meursault_aux(X))) <=> ![X: $i] : (meursault(X) | (~meursault_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(823,plain,
% 1.52/1.32 (^[X: $i] : rewrite((meursault_aux(X) => meursault(X)) <=> (meursault(X) | (~meursault_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(824,plain,
% 1.52/1.32 (![X: $i] : (meursault_aux(X) => meursault(X)) <=> ![X: $i] : (meursault(X) | (~meursault_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[823])).
% 1.52/1.32 tff(825,axiom,(![X: $i] : (meursault_aux(X) => meursault(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula93')).
% 1.52/1.32 tff(826,plain,
% 1.52/1.32 (![X: $i] : (meursault(X) | (~meursault_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[825, 824])).
% 1.52/1.32 tff(827,plain,
% 1.52/1.32 (![X: $i] : (meursault(X) | (~meursault_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[826, 822])).
% 1.52/1.32 tff(828,plain,(
% 1.52/1.32 ![X: $i] : (meursault(X) | (~meursault_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[827])).
% 1.52/1.32 tff(829,plain,
% 1.52/1.32 (![X: $i] : (meursault(X) | (~meursault_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[828, 821])).
% 1.52/1.32 tff(830,plain,
% 1.52/1.32 (meursault_aux(chateaudemeursaultmeursault) <=> meursault_aux(chateaudemeursaultmeursault)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(831,axiom,(meursault_aux(chateaudemeursaultmeursault)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula411')).
% 1.52/1.32 tff(832,plain,
% 1.52/1.32 (meursault_aux(chateaudemeursaultmeursault)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[831, 830])).
% 1.52/1.32 tff(833,plain,
% 1.52/1.32 (((~![X: $i] : (meursault(X) | (~meursault_aux(X)))) | (meursault(chateaudemeursaultmeursault) | (~meursault_aux(chateaudemeursaultmeursault)))) <=> ((~![X: $i] : (meursault(X) | (~meursault_aux(X)))) | meursault(chateaudemeursaultmeursault) | (~meursault_aux(chateaudemeursaultmeursault)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(834,plain,
% 1.52/1.32 ((~![X: $i] : (meursault(X) | (~meursault_aux(X)))) | (meursault(chateaudemeursaultmeursault) | (~meursault_aux(chateaudemeursaultmeursault)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(835,plain,
% 1.52/1.32 ((~![X: $i] : (meursault(X) | (~meursault_aux(X)))) | meursault(chateaudemeursaultmeursault) | (~meursault_aux(chateaudemeursaultmeursault))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[834, 833])).
% 1.52/1.32 tff(836,plain,
% 1.52/1.32 (meursault(chateaudemeursaultmeursault)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[835, 832, 829])).
% 1.52/1.32 tff(837,assumption,(![X: $i] : (~meursault(X))), introduced(assumption)).
% 1.52/1.32 tff(838,plain,
% 1.52/1.32 ((~![X: $i] : (~meursault(X))) | (~meursault(chateaudemeursaultmeursault))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(839,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[838, 837, 836])).
% 1.52/1.32 tff(840,plain,(~![X: $i] : (~meursault(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(841,assumption,(![X: $i] : (~muscadet(X))), introduced(assumption)).
% 1.52/1.32 tff(842,plain,
% 1.52/1.32 ((~![X: $i] : (~muscadet(X))) | (~muscadet(sevreetmainemuscadet))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(843,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[842, 841, 185])).
% 1.52/1.32 tff(844,plain,(~![X: $i] : (~muscadet(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(845,plain,
% 1.52/1.32 (^[Y: $i, X: $i] : refl(((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X)) <=> ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X)))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(846,plain,
% 1.52/1.32 (![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X)) <=> ![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[845])).
% 1.52/1.32 tff(847,plain,
% 1.52/1.32 (![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X)) <=> ![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(848,plain,
% 1.52/1.32 (^[Y: $i, X: $i] : rewrite((hasvintageyear_aux(Y, X) => hasvintageyear(Y, X)) <=> ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X)))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(849,plain,
% 1.52/1.32 (![Y: $i, X: $i] : (hasvintageyear_aux(Y, X) => hasvintageyear(Y, X)) <=> ![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[848])).
% 1.52/1.32 tff(850,axiom,(![Y: $i, X: $i] : (hasvintageyear_aux(Y, X) => hasvintageyear(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula9')).
% 1.52/1.32 tff(851,plain,
% 1.52/1.32 (![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[850, 849])).
% 1.52/1.32 tff(852,plain,
% 1.52/1.32 (![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[851, 847])).
% 1.52/1.32 tff(853,plain,(
% 1.52/1.32 ![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))),
% 1.52/1.32 inference(skolemize,[status(sab)],[852])).
% 1.52/1.32 tff(854,plain,
% 1.52/1.32 (![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[853, 846])).
% 1.52/1.32 tff(855,plain,
% 1.52/1.32 (hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998) <=> hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(856,axiom,(hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula653')).
% 1.52/1.32 tff(857,plain,
% 1.52/1.32 (hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[856, 855])).
% 1.52/1.32 tff(858,plain,
% 1.52/1.32 (((~![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))) | ((~hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998)) | hasvintageyear(saucelitocanyonzinfandel1998, year1998))) <=> ((~![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))) | (~hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998)) | hasvintageyear(saucelitocanyonzinfandel1998, year1998))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(859,plain,
% 1.52/1.32 ((~![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))) | ((~hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998)) | hasvintageyear(saucelitocanyonzinfandel1998, year1998))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(860,plain,
% 1.52/1.32 ((~![Y: $i, X: $i] : ((~hasvintageyear_aux(Y, X)) | hasvintageyear(Y, X))) | (~hasvintageyear_aux(saucelitocanyonzinfandel1998, year1998)) | hasvintageyear(saucelitocanyonzinfandel1998, year1998)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[859, 858])).
% 1.52/1.32 tff(861,plain,
% 1.52/1.32 (hasvintageyear(saucelitocanyonzinfandel1998, year1998)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[860, 857, 854])).
% 1.52/1.32 tff(862,assumption,(![Y: $i, X: $i] : (~hasvintageyear(X, Y))), introduced(assumption)).
% 1.52/1.32 tff(863,plain,
% 1.52/1.32 ((~![Y: $i, X: $i] : (~hasvintageyear(X, Y))) | (~hasvintageyear(saucelitocanyonzinfandel1998, year1998))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(864,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[863, 862, 861])).
% 1.52/1.32 tff(865,plain,(~![Y: $i, X: $i] : (~hasvintageyear(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(866,plain,
% 1.52/1.32 (^[X: $i] : refl((sweetriesling(X) | (~sweetriesling_aux(X))) <=> (sweetriesling(X) | (~sweetriesling_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(867,plain,
% 1.52/1.32 (![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X))) <=> ![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[866])).
% 1.52/1.32 tff(868,plain,
% 1.52/1.32 (![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X))) <=> ![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(869,plain,
% 1.52/1.32 (^[X: $i] : rewrite((sweetriesling_aux(X) => sweetriesling(X)) <=> (sweetriesling(X) | (~sweetriesling_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(870,plain,
% 1.52/1.32 (![X: $i] : (sweetriesling_aux(X) => sweetriesling(X)) <=> ![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[869])).
% 1.52/1.32 tff(871,axiom,(![X: $i] : (sweetriesling_aux(X) => sweetriesling(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula107')).
% 1.52/1.32 tff(872,plain,
% 1.52/1.32 (![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[871, 870])).
% 1.52/1.32 tff(873,plain,
% 1.52/1.32 (![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[872, 868])).
% 1.52/1.32 tff(874,plain,(
% 1.52/1.32 ![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[873])).
% 1.52/1.32 tff(875,plain,
% 1.52/1.32 (![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[874, 867])).
% 1.52/1.32 tff(876,plain,
% 1.52/1.32 (sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling) <=> sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(877,axiom,(sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula489')).
% 1.52/1.32 tff(878,plain,
% 1.52/1.32 (sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[877, 876])).
% 1.52/1.32 tff(879,plain,
% 1.52/1.32 (((~![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))) | (sweetriesling(schlossrothermeltrochenbierenausleseriesling) | (~sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling)))) <=> ((~![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))) | sweetriesling(schlossrothermeltrochenbierenausleseriesling) | (~sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(880,plain,
% 1.52/1.32 ((~![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))) | (sweetriesling(schlossrothermeltrochenbierenausleseriesling) | (~sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(881,plain,
% 1.52/1.32 ((~![X: $i] : (sweetriesling(X) | (~sweetriesling_aux(X)))) | sweetriesling(schlossrothermeltrochenbierenausleseriesling) | (~sweetriesling_aux(schlossrothermeltrochenbierenausleseriesling))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[880, 879])).
% 1.52/1.32 tff(882,plain,
% 1.52/1.32 (sweetriesling(schlossrothermeltrochenbierenausleseriesling)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[881, 878, 875])).
% 1.52/1.32 tff(883,assumption,(![X: $i] : (~sweetriesling(X))), introduced(assumption)).
% 1.52/1.32 tff(884,plain,
% 1.52/1.32 ((~![X: $i] : (~sweetriesling(X))) | (~sweetriesling(schlossrothermeltrochenbierenausleseriesling))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(885,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[884, 883, 882])).
% 1.52/1.32 tff(886,plain,(~![X: $i] : (~sweetriesling(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(887,assumption,(![X: $i] : (~stemilion(X))), introduced(assumption)).
% 1.52/1.32 tff(888,plain,
% 1.52/1.32 ((~![X: $i] : (~stemilion(X))) | (~stemilion(chateauchevalblancstemilion))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(889,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[888, 887, 718])).
% 1.52/1.32 tff(890,plain,(~![X: $i] : (~stemilion(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(891,plain,
% 1.52/1.32 (^[X: $i] : refl((potableliquid(X) | (~wine(X))) <=> (potableliquid(X) | (~wine(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(892,plain,
% 1.52/1.32 (![X: $i] : (potableliquid(X) | (~wine(X))) <=> ![X: $i] : (potableliquid(X) | (~wine(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[891])).
% 1.52/1.32 tff(893,plain,
% 1.52/1.32 (![X: $i] : (potableliquid(X) | (~wine(X))) <=> ![X: $i] : (potableliquid(X) | (~wine(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(894,plain,
% 1.52/1.32 (^[X: $i] : rewrite((wine(X) => potableliquid(X)) <=> (potableliquid(X) | (~wine(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(895,plain,
% 1.52/1.32 (![X: $i] : (wine(X) => potableliquid(X)) <=> ![X: $i] : (potableliquid(X) | (~wine(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[894])).
% 1.52/1.32 tff(896,axiom,(![X: $i] : (wine(X) => potableliquid(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula512')).
% 1.52/1.32 tff(897,plain,
% 1.52/1.32 (![X: $i] : (potableliquid(X) | (~wine(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[896, 895])).
% 1.52/1.32 tff(898,plain,
% 1.52/1.32 (![X: $i] : (potableliquid(X) | (~wine(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[897, 893])).
% 1.52/1.32 tff(899,plain,(
% 1.52/1.32 ![X: $i] : (potableliquid(X) | (~wine(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[898])).
% 1.52/1.32 tff(900,plain,
% 1.52/1.32 (![X: $i] : (potableliquid(X) | (~wine(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[899, 892])).
% 1.52/1.32 tff(901,plain,
% 1.52/1.32 (((~![X: $i] : (potableliquid(X) | (~wine(X)))) | (potableliquid(chateaudychemsauterne) | (~wine(chateaudychemsauterne)))) <=> ((~![X: $i] : (potableliquid(X) | (~wine(X)))) | potableliquid(chateaudychemsauterne) | (~wine(chateaudychemsauterne)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(902,plain,
% 1.52/1.32 ((~![X: $i] : (potableliquid(X) | (~wine(X)))) | (potableliquid(chateaudychemsauterne) | (~wine(chateaudychemsauterne)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(903,plain,
% 1.52/1.32 ((~![X: $i] : (potableliquid(X) | (~wine(X)))) | potableliquid(chateaudychemsauterne) | (~wine(chateaudychemsauterne))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[902, 901])).
% 1.52/1.32 tff(904,plain,
% 1.52/1.32 (potableliquid(chateaudychemsauterne)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[903, 900, 300])).
% 1.52/1.32 tff(905,assumption,(![X: $i] : (~potableliquid(X))), introduced(assumption)).
% 1.52/1.32 tff(906,plain,
% 1.52/1.32 ((~![X: $i] : (~potableliquid(X))) | (~potableliquid(chateaudychemsauterne))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(907,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[906, 905, 904])).
% 1.52/1.32 tff(908,plain,(~![X: $i] : (~potableliquid(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(909,assumption,(![X: $i] : (~port(X))), introduced(assumption)).
% 1.52/1.32 tff(910,plain,
% 1.52/1.32 ((~![X: $i] : (~port(X))) | (~port(taylorport))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(911,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[910, 909, 623])).
% 1.52/1.32 tff(912,plain,(~![X: $i] : (~port(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(913,plain,
% 1.52/1.32 (^[X: $i] : refl((pinotnoir(X) | (~pinotnoir_aux(X))) <=> (pinotnoir(X) | (~pinotnoir_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(914,plain,
% 1.52/1.32 (![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X))) <=> ![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[913])).
% 1.52/1.32 tff(915,plain,
% 1.52/1.32 (![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X))) <=> ![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(916,plain,
% 1.52/1.32 (^[X: $i] : rewrite((pinotnoir_aux(X) => pinotnoir(X)) <=> (pinotnoir(X) | (~pinotnoir_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(917,plain,
% 1.52/1.32 (![X: $i] : (pinotnoir_aux(X) => pinotnoir(X)) <=> ![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[916])).
% 1.52/1.32 tff(918,axiom,(![X: $i] : (pinotnoir_aux(X) => pinotnoir(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula97')).
% 1.52/1.32 tff(919,plain,
% 1.52/1.32 (![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[918, 917])).
% 1.52/1.32 tff(920,plain,
% 1.52/1.32 (![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[919, 915])).
% 1.52/1.32 tff(921,plain,(
% 1.52/1.32 ![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[920])).
% 1.52/1.32 tff(922,plain,
% 1.52/1.32 (![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[921, 914])).
% 1.52/1.32 tff(923,plain,
% 1.52/1.32 (pinotnoir_aux(mountadampinotnoir) <=> pinotnoir_aux(mountadampinotnoir)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(924,axiom,(pinotnoir_aux(mountadampinotnoir)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula438')).
% 1.52/1.32 tff(925,plain,
% 1.52/1.32 (pinotnoir_aux(mountadampinotnoir)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[924, 923])).
% 1.52/1.32 tff(926,plain,
% 1.52/1.32 (((~![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))) | (pinotnoir(mountadampinotnoir) | (~pinotnoir_aux(mountadampinotnoir)))) <=> ((~![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))) | pinotnoir(mountadampinotnoir) | (~pinotnoir_aux(mountadampinotnoir)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(927,plain,
% 1.52/1.32 ((~![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))) | (pinotnoir(mountadampinotnoir) | (~pinotnoir_aux(mountadampinotnoir)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(928,plain,
% 1.52/1.32 ((~![X: $i] : (pinotnoir(X) | (~pinotnoir_aux(X)))) | pinotnoir(mountadampinotnoir) | (~pinotnoir_aux(mountadampinotnoir))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[927, 926])).
% 1.52/1.32 tff(929,plain,
% 1.52/1.32 (pinotnoir(mountadampinotnoir)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[928, 925, 922])).
% 1.52/1.32 tff(930,assumption,(![X: $i] : (~pinotnoir(X))), introduced(assumption)).
% 1.52/1.32 tff(931,plain,
% 1.52/1.32 ((~![X: $i] : (~pinotnoir(X))) | (~pinotnoir(mountadampinotnoir))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(932,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[931, 930, 929])).
% 1.52/1.32 tff(933,plain,(~![X: $i] : (~pinotnoir(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(934,assumption,(![X: $i] : (~sauternes(X))), introduced(assumption)).
% 1.52/1.32 tff(935,plain,
% 1.52/1.32 ((~![X: $i] : (~sauternes(X))) | (~sauternes(chateaudychemsauterne))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(936,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[935, 934, 234])).
% 1.52/1.32 tff(937,plain,(~![X: $i] : (~sauternes(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(938,plain,
% 1.52/1.32 (^[X: $i] : refl((medoc(X) | (~margaux(X))) <=> (medoc(X) | (~margaux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(939,plain,
% 1.52/1.32 (![X: $i] : (medoc(X) | (~margaux(X))) <=> ![X: $i] : (medoc(X) | (~margaux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[938])).
% 1.52/1.32 tff(940,plain,
% 1.52/1.32 (![X: $i] : (medoc(X) | (~margaux(X))) <=> ![X: $i] : (medoc(X) | (~margaux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(941,plain,
% 1.52/1.32 (^[X: $i] : rewrite((margaux(X) => medoc(X)) <=> (medoc(X) | (~margaux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(942,plain,
% 1.52/1.32 (![X: $i] : (margaux(X) => medoc(X)) <=> ![X: $i] : (medoc(X) | (~margaux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[941])).
% 1.52/1.32 tff(943,axiom,(![X: $i] : (margaux(X) => medoc(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula489')).
% 1.52/1.32 tff(944,plain,
% 1.52/1.32 (![X: $i] : (medoc(X) | (~margaux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[943, 942])).
% 1.52/1.32 tff(945,plain,
% 1.52/1.32 (![X: $i] : (medoc(X) | (~margaux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[944, 940])).
% 1.52/1.32 tff(946,plain,(
% 1.52/1.32 ![X: $i] : (medoc(X) | (~margaux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[945])).
% 1.52/1.32 tff(947,plain,
% 1.52/1.32 (![X: $i] : (medoc(X) | (~margaux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[946, 939])).
% 1.52/1.32 tff(948,plain,
% 1.52/1.32 (((~![X: $i] : (medoc(X) | (~margaux(X)))) | (medoc(chateaumargaux) | (~margaux(chateaumargaux)))) <=> ((~![X: $i] : (medoc(X) | (~margaux(X)))) | medoc(chateaumargaux) | (~margaux(chateaumargaux)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(949,plain,
% 1.52/1.32 ((~![X: $i] : (medoc(X) | (~margaux(X)))) | (medoc(chateaumargaux) | (~margaux(chateaumargaux)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(950,plain,
% 1.52/1.32 ((~![X: $i] : (medoc(X) | (~margaux(X)))) | medoc(chateaumargaux) | (~margaux(chateaumargaux))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[949, 948])).
% 1.52/1.32 tff(951,plain,
% 1.52/1.32 (medoc(chateaumargaux)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[950, 947, 697])).
% 1.52/1.32 tff(952,assumption,(![X: $i] : (~medoc(X))), introduced(assumption)).
% 1.52/1.32 tff(953,plain,
% 1.52/1.32 ((~![X: $i] : (~medoc(X))) | (~medoc(chateaumargaux))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(954,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[953, 952, 951])).
% 1.52/1.32 tff(955,plain,(~![X: $i] : (~medoc(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(956,plain,
% 1.52/1.32 (^[X: $i] : refl((meritage(X) | (~meritage_aux(X))) <=> (meritage(X) | (~meritage_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(957,plain,
% 1.52/1.32 (![X: $i] : (meritage(X) | (~meritage_aux(X))) <=> ![X: $i] : (meritage(X) | (~meritage_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[956])).
% 1.52/1.32 tff(958,plain,
% 1.52/1.32 (![X: $i] : (meritage(X) | (~meritage_aux(X))) <=> ![X: $i] : (meritage(X) | (~meritage_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(959,plain,
% 1.52/1.32 (^[X: $i] : rewrite((meritage_aux(X) => meritage(X)) <=> (meritage(X) | (~meritage_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(960,plain,
% 1.52/1.32 (![X: $i] : (meritage_aux(X) => meritage(X)) <=> ![X: $i] : (meritage(X) | (~meritage_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[959])).
% 1.52/1.32 tff(961,axiom,(![X: $i] : (meritage_aux(X) => meritage(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula91')).
% 1.52/1.32 tff(962,plain,
% 1.52/1.32 (![X: $i] : (meritage(X) | (~meritage_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[961, 960])).
% 1.52/1.32 tff(963,plain,
% 1.52/1.32 (![X: $i] : (meritage(X) | (~meritage_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[962, 958])).
% 1.52/1.32 tff(964,plain,(
% 1.52/1.32 ![X: $i] : (meritage(X) | (~meritage_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[963])).
% 1.52/1.32 tff(965,plain,
% 1.52/1.32 (![X: $i] : (meritage(X) | (~meritage_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[964, 957])).
% 1.52/1.32 tff(966,plain,
% 1.52/1.32 (meritage_aux(kathrynkennedylateral) <=> meritage_aux(kathrynkennedylateral)),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(967,axiom,(meritage_aux(kathrynkennedylateral)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula412')).
% 1.52/1.32 tff(968,plain,
% 1.52/1.32 (meritage_aux(kathrynkennedylateral)),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[967, 966])).
% 1.52/1.32 tff(969,plain,
% 1.52/1.32 (((~![X: $i] : (meritage(X) | (~meritage_aux(X)))) | (meritage(kathrynkennedylateral) | (~meritage_aux(kathrynkennedylateral)))) <=> ((~![X: $i] : (meritage(X) | (~meritage_aux(X)))) | meritage(kathrynkennedylateral) | (~meritage_aux(kathrynkennedylateral)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(970,plain,
% 1.52/1.32 ((~![X: $i] : (meritage(X) | (~meritage_aux(X)))) | (meritage(kathrynkennedylateral) | (~meritage_aux(kathrynkennedylateral)))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(971,plain,
% 1.52/1.32 ((~![X: $i] : (meritage(X) | (~meritage_aux(X)))) | meritage(kathrynkennedylateral) | (~meritage_aux(kathrynkennedylateral))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[970, 969])).
% 1.52/1.32 tff(972,plain,
% 1.52/1.32 (meritage(kathrynkennedylateral)),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[971, 968, 965])).
% 1.52/1.32 tff(973,assumption,(![X: $i] : (~meritage(X))), introduced(assumption)).
% 1.52/1.32 tff(974,plain,
% 1.52/1.32 ((~![X: $i] : (~meritage(X))) | (~meritage(kathrynkennedylateral))),
% 1.52/1.32 inference(quant_inst,[status(thm)],[])).
% 1.52/1.32 tff(975,plain,
% 1.52/1.32 ($false),
% 1.52/1.32 inference(unit_resolution,[status(thm)],[974, 973, 972])).
% 1.52/1.32 tff(976,plain,(~![X: $i] : (~meritage(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.32 tff(977,plain,
% 1.52/1.32 (^[X: $i] : refl((winesugar(X) | (~winesugar_aux(X))) <=> (winesugar(X) | (~winesugar_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(978,plain,
% 1.52/1.32 (![X: $i] : (winesugar(X) | (~winesugar_aux(X))) <=> ![X: $i] : (winesugar(X) | (~winesugar_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[977])).
% 1.52/1.32 tff(979,plain,
% 1.52/1.32 (![X: $i] : (winesugar(X) | (~winesugar_aux(X))) <=> ![X: $i] : (winesugar(X) | (~winesugar_aux(X)))),
% 1.52/1.32 inference(rewrite,[status(thm)],[])).
% 1.52/1.32 tff(980,plain,
% 1.52/1.32 (^[X: $i] : rewrite((winesugar_aux(X) => winesugar(X)) <=> (winesugar(X) | (~winesugar_aux(X))))),
% 1.52/1.32 inference(bind,[status(th)],[])).
% 1.52/1.32 tff(981,plain,
% 1.52/1.32 (![X: $i] : (winesugar_aux(X) => winesugar(X)) <=> ![X: $i] : (winesugar(X) | (~winesugar_aux(X)))),
% 1.52/1.32 inference(quant_intro,[status(thm)],[980])).
% 1.52/1.32 tff(982,axiom,(![X: $i] : (winesugar_aux(X) => winesugar(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula77')).
% 1.52/1.32 tff(983,plain,
% 1.52/1.32 (![X: $i] : (winesugar(X) | (~winesugar_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[982, 981])).
% 1.52/1.32 tff(984,plain,
% 1.52/1.32 (![X: $i] : (winesugar(X) | (~winesugar_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[983, 979])).
% 1.52/1.32 tff(985,plain,(
% 1.52/1.32 ![X: $i] : (winesugar(X) | (~winesugar_aux(X)))),
% 1.52/1.32 inference(skolemize,[status(sab)],[984])).
% 1.52/1.32 tff(986,plain,
% 1.52/1.32 (![X: $i] : (winesugar(X) | (~winesugar_aux(X)))),
% 1.52/1.32 inference(modus_ponens,[status(thm)],[985, 978])).
% 1.52/1.32 tff(987,plain,
% 1.52/1.33 (winesugar_aux(sweet) <=> winesugar_aux(sweet)),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(988,axiom,(winesugar_aux(sweet)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula350')).
% 1.52/1.33 tff(989,plain,
% 1.52/1.33 (winesugar_aux(sweet)),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[988, 987])).
% 1.52/1.33 tff(990,plain,
% 1.52/1.33 (((~![X: $i] : (winesugar(X) | (~winesugar_aux(X)))) | (winesugar(sweet) | (~winesugar_aux(sweet)))) <=> ((~![X: $i] : (winesugar(X) | (~winesugar_aux(X)))) | winesugar(sweet) | (~winesugar_aux(sweet)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(991,plain,
% 1.52/1.33 ((~![X: $i] : (winesugar(X) | (~winesugar_aux(X)))) | (winesugar(sweet) | (~winesugar_aux(sweet)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(992,plain,
% 1.52/1.33 ((~![X: $i] : (winesugar(X) | (~winesugar_aux(X)))) | winesugar(sweet) | (~winesugar_aux(sweet))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[991, 990])).
% 1.52/1.33 tff(993,plain,
% 1.52/1.33 (winesugar(sweet)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[992, 989, 986])).
% 1.52/1.33 tff(994,assumption,(![X: $i] : (~winesugar(X))), introduced(assumption)).
% 1.52/1.33 tff(995,plain,
% 1.52/1.33 ((~![X: $i] : (~winesugar(X))) | (~winesugar(sweet))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(996,plain,
% 1.52/1.33 ($false),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[995, 994, 993])).
% 1.52/1.33 tff(997,plain,(~![X: $i] : (~winesugar(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.33 tff(998,plain,
% 1.52/1.33 (^[X: $i] : refl((sancerre(X) | (~sancerre_aux(X))) <=> (sancerre(X) | (~sancerre_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(999,plain,
% 1.52/1.33 (![X: $i] : (sancerre(X) | (~sancerre_aux(X))) <=> ![X: $i] : (sancerre(X) | (~sancerre_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[998])).
% 1.52/1.33 tff(1000,plain,
% 1.52/1.33 (![X: $i] : (sancerre(X) | (~sancerre_aux(X))) <=> ![X: $i] : (sancerre(X) | (~sancerre_aux(X)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1001,plain,
% 1.52/1.33 (^[X: $i] : rewrite((sancerre_aux(X) => sancerre(X)) <=> (sancerre(X) | (~sancerre_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1002,plain,
% 1.52/1.33 (![X: $i] : (sancerre_aux(X) => sancerre(X)) <=> ![X: $i] : (sancerre(X) | (~sancerre_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1001])).
% 1.52/1.33 tff(1003,axiom,(![X: $i] : (sancerre_aux(X) => sancerre(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula102')).
% 1.52/1.33 tff(1004,plain,
% 1.52/1.33 (![X: $i] : (sancerre(X) | (~sancerre_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 1.52/1.33 tff(1005,plain,
% 1.52/1.33 (![X: $i] : (sancerre(X) | (~sancerre_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1004, 1000])).
% 1.52/1.33 tff(1006,plain,(
% 1.52/1.33 ![X: $i] : (sancerre(X) | (~sancerre_aux(X)))),
% 1.52/1.33 inference(skolemize,[status(sab)],[1005])).
% 1.52/1.33 tff(1007,plain,
% 1.52/1.33 (![X: $i] : (sancerre(X) | (~sancerre_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1006, 999])).
% 1.52/1.33 tff(1008,plain,
% 1.52/1.33 (sancerre_aux(closdelapoussiesancerre) <=> sancerre_aux(closdelapoussiesancerre)),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1009,axiom,(sancerre_aux(closdelapoussiesancerre)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula480')).
% 1.52/1.33 tff(1010,plain,
% 1.52/1.33 (sancerre_aux(closdelapoussiesancerre)),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 1.52/1.33 tff(1011,plain,
% 1.52/1.33 (((~![X: $i] : (sancerre(X) | (~sancerre_aux(X)))) | (sancerre(closdelapoussiesancerre) | (~sancerre_aux(closdelapoussiesancerre)))) <=> ((~![X: $i] : (sancerre(X) | (~sancerre_aux(X)))) | sancerre(closdelapoussiesancerre) | (~sancerre_aux(closdelapoussiesancerre)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1012,plain,
% 1.52/1.33 ((~![X: $i] : (sancerre(X) | (~sancerre_aux(X)))) | (sancerre(closdelapoussiesancerre) | (~sancerre_aux(closdelapoussiesancerre)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1013,plain,
% 1.52/1.33 ((~![X: $i] : (sancerre(X) | (~sancerre_aux(X)))) | sancerre(closdelapoussiesancerre) | (~sancerre_aux(closdelapoussiesancerre))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 1.52/1.33 tff(1014,plain,
% 1.52/1.33 (sancerre(closdelapoussiesancerre)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1013, 1010, 1007])).
% 1.52/1.33 tff(1015,assumption,(![X: $i] : (~sancerre(X))), introduced(assumption)).
% 1.52/1.33 tff(1016,plain,
% 1.52/1.33 ((~![X: $i] : (~sancerre(X))) | (~sancerre(closdelapoussiesancerre))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1017,plain,
% 1.52/1.33 ($false),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1016, 1015, 1014])).
% 1.52/1.33 tff(1018,plain,(~![X: $i] : (~sancerre(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.33 tff(1019,plain,
% 1.52/1.33 (^[X: $i] : refl((q15(X) | (~anjou(X))) <=> (q15(X) | (~anjou(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1020,plain,
% 1.52/1.33 (![X: $i] : (q15(X) | (~anjou(X))) <=> ![X: $i] : (q15(X) | (~anjou(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1019])).
% 1.52/1.33 tff(1021,plain,
% 1.52/1.33 (![X: $i] : (q15(X) | (~anjou(X))) <=> ![X: $i] : (q15(X) | (~anjou(X)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1022,plain,
% 1.52/1.33 (^[X: $i] : rewrite((anjou(X) => q15(X)) <=> (q15(X) | (~anjou(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1023,plain,
% 1.52/1.33 (![X: $i] : (anjou(X) => q15(X)) <=> ![X: $i] : (q15(X) | (~anjou(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1022])).
% 1.52/1.33 tff(1024,axiom,(![X: $i] : (anjou(X) => q15(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula154')).
% 1.52/1.33 tff(1025,plain,
% 1.52/1.33 (![X: $i] : (q15(X) | (~anjou(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 1.52/1.33 tff(1026,plain,
% 1.52/1.33 (![X: $i] : (q15(X) | (~anjou(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1025, 1021])).
% 1.52/1.33 tff(1027,plain,(
% 1.52/1.33 ![X: $i] : (q15(X) | (~anjou(X)))),
% 1.52/1.33 inference(skolemize,[status(sab)],[1026])).
% 1.52/1.33 tff(1028,plain,
% 1.52/1.33 (![X: $i] : (q15(X) | (~anjou(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1027, 1020])).
% 1.52/1.33 tff(1029,plain,
% 1.52/1.33 (((~![X: $i] : (q15(X) | (~anjou(X)))) | (q15(rosedanjou) | (~anjou(rosedanjou)))) <=> ((~![X: $i] : (q15(X) | (~anjou(X)))) | q15(rosedanjou) | (~anjou(rosedanjou)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1030,plain,
% 1.52/1.33 ((~![X: $i] : (q15(X) | (~anjou(X)))) | (q15(rosedanjou) | (~anjou(rosedanjou)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1031,plain,
% 1.52/1.33 ((~![X: $i] : (q15(X) | (~anjou(X)))) | q15(rosedanjou) | (~anjou(rosedanjou))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 1.52/1.33 tff(1032,plain,
% 1.52/1.33 (q15(rosedanjou)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1031, 1028, 87])).
% 1.52/1.33 tff(1033,plain,
% 1.52/1.33 (^[X: $i] : refl((rosewine(X) | (~q15(X))) <=> (rosewine(X) | (~q15(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1034,plain,
% 1.52/1.33 (![X: $i] : (rosewine(X) | (~q15(X))) <=> ![X: $i] : (rosewine(X) | (~q15(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1033])).
% 1.52/1.33 tff(1035,plain,
% 1.52/1.33 (![X: $i] : (rosewine(X) | (~q15(X))) <=> ![X: $i] : (rosewine(X) | (~q15(X)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1036,plain,
% 1.52/1.33 (^[X: $i] : rewrite((q15(X) => rosewine(X)) <=> (rosewine(X) | (~q15(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1037,plain,
% 1.52/1.33 (![X: $i] : (q15(X) => rosewine(X)) <=> ![X: $i] : (rosewine(X) | (~q15(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1036])).
% 1.52/1.33 tff(1038,axiom,(![X: $i] : (q15(X) => rosewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula536')).
% 1.52/1.33 tff(1039,plain,
% 1.52/1.33 (![X: $i] : (rosewine(X) | (~q15(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 1.52/1.33 tff(1040,plain,
% 1.52/1.33 (![X: $i] : (rosewine(X) | (~q15(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1039, 1035])).
% 1.52/1.33 tff(1041,plain,(
% 1.52/1.33 ![X: $i] : (rosewine(X) | (~q15(X)))),
% 1.52/1.33 inference(skolemize,[status(sab)],[1040])).
% 1.52/1.33 tff(1042,plain,
% 1.52/1.33 (![X: $i] : (rosewine(X) | (~q15(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1041, 1034])).
% 1.52/1.33 tff(1043,plain,
% 1.52/1.33 (((~![X: $i] : (rosewine(X) | (~q15(X)))) | (rosewine(rosedanjou) | (~q15(rosedanjou)))) <=> ((~![X: $i] : (rosewine(X) | (~q15(X)))) | rosewine(rosedanjou) | (~q15(rosedanjou)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1044,plain,
% 1.52/1.33 ((~![X: $i] : (rosewine(X) | (~q15(X)))) | (rosewine(rosedanjou) | (~q15(rosedanjou)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1045,plain,
% 1.52/1.33 ((~![X: $i] : (rosewine(X) | (~q15(X)))) | rosewine(rosedanjou) | (~q15(rosedanjou))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 1.52/1.33 tff(1046,plain,
% 1.52/1.33 (rosewine(rosedanjou)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1045, 1042, 1032])).
% 1.52/1.33 tff(1047,assumption,(![X: $i] : (~rosewine(X))), introduced(assumption)).
% 1.52/1.33 tff(1048,plain,
% 1.52/1.33 ((~![X: $i] : (~rosewine(X))) | (~rosewine(rosedanjou))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1049,plain,
% 1.52/1.33 ($false),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1048, 1047, 1046])).
% 1.52/1.33 tff(1050,plain,(~![X: $i] : (~rosewine(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.33 tff(1051,plain,
% 1.52/1.33 (^[X: $i] : refl((winecolor(X) | (~winecolor_aux(X))) <=> (winecolor(X) | (~winecolor_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1052,plain,
% 1.52/1.33 (![X: $i] : (winecolor(X) | (~winecolor_aux(X))) <=> ![X: $i] : (winecolor(X) | (~winecolor_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1051])).
% 1.52/1.33 tff(1053,plain,
% 1.52/1.33 (![X: $i] : (winecolor(X) | (~winecolor_aux(X))) <=> ![X: $i] : (winecolor(X) | (~winecolor_aux(X)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1054,plain,
% 1.52/1.33 (^[X: $i] : rewrite((winecolor_aux(X) => winecolor(X)) <=> (winecolor(X) | (~winecolor_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1055,plain,
% 1.52/1.33 (![X: $i] : (winecolor_aux(X) => winecolor(X)) <=> ![X: $i] : (winecolor(X) | (~winecolor_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1054])).
% 1.52/1.33 tff(1056,axiom,(![X: $i] : (winecolor_aux(X) => winecolor(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula112')).
% 1.52/1.33 tff(1057,plain,
% 1.52/1.33 (![X: $i] : (winecolor(X) | (~winecolor_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1056, 1055])).
% 1.52/1.33 tff(1058,plain,
% 1.52/1.33 (![X: $i] : (winecolor(X) | (~winecolor_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1057, 1053])).
% 1.52/1.33 tff(1059,plain,(
% 1.52/1.33 ![X: $i] : (winecolor(X) | (~winecolor_aux(X)))),
% 1.52/1.33 inference(skolemize,[status(sab)],[1058])).
% 1.52/1.33 tff(1060,plain,
% 1.52/1.33 (![X: $i] : (winecolor(X) | (~winecolor_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1059, 1052])).
% 1.52/1.33 tff(1061,plain,
% 1.52/1.33 (winecolor_aux(white) <=> winecolor_aux(white)),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1062,axiom,(winecolor_aux(white)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula404')).
% 1.52/1.33 tff(1063,plain,
% 1.52/1.33 (winecolor_aux(white)),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 1.52/1.33 tff(1064,plain,
% 1.52/1.33 (((~![X: $i] : (winecolor(X) | (~winecolor_aux(X)))) | (winecolor(white) | (~winecolor_aux(white)))) <=> ((~![X: $i] : (winecolor(X) | (~winecolor_aux(X)))) | winecolor(white) | (~winecolor_aux(white)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1065,plain,
% 1.52/1.33 ((~![X: $i] : (winecolor(X) | (~winecolor_aux(X)))) | (winecolor(white) | (~winecolor_aux(white)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1066,plain,
% 1.52/1.33 ((~![X: $i] : (winecolor(X) | (~winecolor_aux(X)))) | winecolor(white) | (~winecolor_aux(white))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 1.52/1.33 tff(1067,plain,
% 1.52/1.33 (winecolor(white)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1066, 1063, 1060])).
% 1.52/1.33 tff(1068,plain,
% 1.52/1.33 (^[X: $i] : refl((winedescriptor(X) | (~winecolor(X))) <=> (winedescriptor(X) | (~winecolor(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1069,plain,
% 1.52/1.33 (![X: $i] : (winedescriptor(X) | (~winecolor(X))) <=> ![X: $i] : (winedescriptor(X) | (~winecolor(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1068])).
% 1.52/1.33 tff(1070,plain,
% 1.52/1.33 (![X: $i] : (winedescriptor(X) | (~winecolor(X))) <=> ![X: $i] : (winedescriptor(X) | (~winecolor(X)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1071,plain,
% 1.52/1.33 (^[X: $i] : rewrite((winecolor(X) => winedescriptor(X)) <=> (winedescriptor(X) | (~winecolor(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1072,plain,
% 1.52/1.33 (![X: $i] : (winecolor(X) => winedescriptor(X)) <=> ![X: $i] : (winedescriptor(X) | (~winecolor(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1071])).
% 1.52/1.33 tff(1073,axiom,(![X: $i] : (winecolor(X) => winedescriptor(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula655')).
% 1.52/1.33 tff(1074,plain,
% 1.52/1.33 (![X: $i] : (winedescriptor(X) | (~winecolor(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 1.52/1.33 tff(1075,plain,
% 1.52/1.33 (![X: $i] : (winedescriptor(X) | (~winecolor(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1074, 1070])).
% 1.52/1.33 tff(1076,plain,(
% 1.52/1.33 ![X: $i] : (winedescriptor(X) | (~winecolor(X)))),
% 1.52/1.33 inference(skolemize,[status(sab)],[1075])).
% 1.52/1.33 tff(1077,plain,
% 1.52/1.33 (![X: $i] : (winedescriptor(X) | (~winecolor(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1076, 1069])).
% 1.52/1.33 tff(1078,plain,
% 1.52/1.33 (((~![X: $i] : (winedescriptor(X) | (~winecolor(X)))) | (winedescriptor(white) | (~winecolor(white)))) <=> ((~![X: $i] : (winedescriptor(X) | (~winecolor(X)))) | winedescriptor(white) | (~winecolor(white)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1079,plain,
% 1.52/1.33 ((~![X: $i] : (winedescriptor(X) | (~winecolor(X)))) | (winedescriptor(white) | (~winecolor(white)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1080,plain,
% 1.52/1.33 ((~![X: $i] : (winedescriptor(X) | (~winecolor(X)))) | winedescriptor(white) | (~winecolor(white))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 1.52/1.33 tff(1081,plain,
% 1.52/1.33 (winedescriptor(white)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1080, 1077, 1067])).
% 1.52/1.33 tff(1082,assumption,(![X: $i] : (~winedescriptor(X))), introduced(assumption)).
% 1.52/1.33 tff(1083,plain,
% 1.52/1.33 ((~![X: $i] : (~winedescriptor(X))) | (~winedescriptor(white))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1084,plain,
% 1.52/1.33 ($false),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1083, 1082, 1081])).
% 1.52/1.33 tff(1085,plain,(~![X: $i] : (~winedescriptor(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.33 tff(1086,plain,
% 1.52/1.33 (^[X: $i] : refl((wineflavor(X) | (~wineflavor_aux(X))) <=> (wineflavor(X) | (~wineflavor_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1087,plain,
% 1.52/1.33 (![X: $i] : (wineflavor(X) | (~wineflavor_aux(X))) <=> ![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1086])).
% 1.52/1.33 tff(1088,plain,
% 1.52/1.33 (![X: $i] : (wineflavor(X) | (~wineflavor_aux(X))) <=> ![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1089,plain,
% 1.52/1.33 (^[X: $i] : rewrite((wineflavor_aux(X) => wineflavor(X)) <=> (wineflavor(X) | (~wineflavor_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1090,plain,
% 1.52/1.33 (![X: $i] : (wineflavor_aux(X) => wineflavor(X)) <=> ![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1089])).
% 1.52/1.33 tff(1091,axiom,(![X: $i] : (wineflavor_aux(X) => wineflavor(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula78')).
% 1.52/1.33 tff(1092,plain,
% 1.52/1.33 (![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 1.52/1.33 tff(1093,plain,
% 1.52/1.33 (![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1092, 1088])).
% 1.52/1.33 tff(1094,plain,(
% 1.52/1.33 ![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))),
% 1.52/1.33 inference(skolemize,[status(sab)],[1093])).
% 1.52/1.33 tff(1095,plain,
% 1.52/1.33 (![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1094, 1087])).
% 1.52/1.33 tff(1096,plain,
% 1.52/1.33 (wineflavor_aux(delicate) <=> wineflavor_aux(delicate)),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1097,axiom,(wineflavor_aux(delicate)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula331')).
% 1.52/1.33 tff(1098,plain,
% 1.52/1.33 (wineflavor_aux(delicate)),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 1.52/1.33 tff(1099,plain,
% 1.52/1.33 (((~![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))) | (wineflavor(delicate) | (~wineflavor_aux(delicate)))) <=> ((~![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))) | wineflavor(delicate) | (~wineflavor_aux(delicate)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1100,plain,
% 1.52/1.33 ((~![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))) | (wineflavor(delicate) | (~wineflavor_aux(delicate)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1101,plain,
% 1.52/1.33 ((~![X: $i] : (wineflavor(X) | (~wineflavor_aux(X)))) | wineflavor(delicate) | (~wineflavor_aux(delicate))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 1.52/1.33 tff(1102,plain,
% 1.52/1.33 (wineflavor(delicate)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1101, 1098, 1095])).
% 1.52/1.33 tff(1103,assumption,(![X: $i] : (~wineflavor(X))), introduced(assumption)).
% 1.52/1.33 tff(1104,plain,
% 1.52/1.33 ((~![X: $i] : (~wineflavor(X))) | (~wineflavor(delicate))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1105,plain,
% 1.52/1.33 ($false),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1104, 1103, 1102])).
% 1.52/1.33 tff(1106,plain,(~![X: $i] : (~wineflavor(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.33 tff(1107,plain,
% 1.52/1.33 (^[X: $i] : refl((winegrape(X) | (~winegrape_aux(X))) <=> (winegrape(X) | (~winegrape_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1108,plain,
% 1.52/1.33 (![X: $i] : (winegrape(X) | (~winegrape_aux(X))) <=> ![X: $i] : (winegrape(X) | (~winegrape_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1107])).
% 1.52/1.33 tff(1109,plain,
% 1.52/1.33 (![X: $i] : (winegrape(X) | (~winegrape_aux(X))) <=> ![X: $i] : (winegrape(X) | (~winegrape_aux(X)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1110,plain,
% 1.52/1.33 (^[X: $i] : rewrite((winegrape_aux(X) => winegrape(X)) <=> (winegrape(X) | (~winegrape_aux(X))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1111,plain,
% 1.52/1.33 (![X: $i] : (winegrape_aux(X) => winegrape(X)) <=> ![X: $i] : (winegrape(X) | (~winegrape_aux(X)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1110])).
% 1.52/1.33 tff(1112,axiom,(![X: $i] : (winegrape_aux(X) => winegrape(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula76')).
% 1.52/1.33 tff(1113,plain,
% 1.52/1.33 (![X: $i] : (winegrape(X) | (~winegrape_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1112, 1111])).
% 1.52/1.33 tff(1114,plain,
% 1.52/1.33 (![X: $i] : (winegrape(X) | (~winegrape_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1113, 1109])).
% 1.52/1.33 tff(1115,plain,(
% 1.52/1.33 ![X: $i] : (winegrape(X) | (~winegrape_aux(X)))),
% 1.52/1.33 inference(skolemize,[status(sab)],[1114])).
% 1.52/1.33 tff(1116,plain,
% 1.52/1.33 (![X: $i] : (winegrape(X) | (~winegrape_aux(X)))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1115, 1108])).
% 1.52/1.33 tff(1117,plain,
% 1.52/1.33 (winegrape_aux(petitesyrahgrape) <=> winegrape_aux(petitesyrahgrape)),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1118,axiom,(winegrape_aux(petitesyrahgrape)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula334')).
% 1.52/1.33 tff(1119,plain,
% 1.52/1.33 (winegrape_aux(petitesyrahgrape)),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 1.52/1.33 tff(1120,plain,
% 1.52/1.33 (((~![X: $i] : (winegrape(X) | (~winegrape_aux(X)))) | (winegrape(petitesyrahgrape) | (~winegrape_aux(petitesyrahgrape)))) <=> ((~![X: $i] : (winegrape(X) | (~winegrape_aux(X)))) | winegrape(petitesyrahgrape) | (~winegrape_aux(petitesyrahgrape)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1121,plain,
% 1.52/1.33 ((~![X: $i] : (winegrape(X) | (~winegrape_aux(X)))) | (winegrape(petitesyrahgrape) | (~winegrape_aux(petitesyrahgrape)))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1122,plain,
% 1.52/1.33 ((~![X: $i] : (winegrape(X) | (~winegrape_aux(X)))) | winegrape(petitesyrahgrape) | (~winegrape_aux(petitesyrahgrape))),
% 1.52/1.33 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 1.52/1.33 tff(1123,plain,
% 1.52/1.33 (winegrape(petitesyrahgrape)),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1122, 1119, 1116])).
% 1.52/1.33 tff(1124,assumption,(![X: $i] : (~winegrape(X))), introduced(assumption)).
% 1.52/1.33 tff(1125,plain,
% 1.52/1.33 ((~![X: $i] : (~winegrape(X))) | (~winegrape(petitesyrahgrape))),
% 1.52/1.33 inference(quant_inst,[status(thm)],[])).
% 1.52/1.33 tff(1126,plain,
% 1.52/1.33 ($false),
% 1.52/1.33 inference(unit_resolution,[status(thm)],[1125, 1124, 1123])).
% 1.52/1.33 tff(1127,plain,(~![X: $i] : (~winegrape(X))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.33 tff(1128,plain,
% 1.52/1.33 (^[X: $i, Y: $i] : refl((vintage(X) | (~hasvintageyear(X, Y))) <=> (vintage(X) | (~hasvintageyear(X, Y))))),
% 1.52/1.33 inference(bind,[status(th)],[])).
% 1.52/1.33 tff(1129,plain,
% 1.52/1.33 (![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y))) <=> ![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))),
% 1.52/1.33 inference(quant_intro,[status(thm)],[1128])).
% 1.52/1.33 tff(1130,plain,
% 1.52/1.33 (![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y))) <=> ![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))),
% 1.52/1.33 inference(rewrite,[status(thm)],[])).
% 1.52/1.33 tff(1131,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : rewrite((hasvintageyear(X, Y) => vintage(X)) <=> (vintage(X) | (~hasvintageyear(X, Y))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1132,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (hasvintageyear(X, Y) => vintage(X)) <=> ![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1131])).
% 1.65/1.33 tff(1133,axiom,(![X: $i, Y: $i] : (hasvintageyear(X, Y) => vintage(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula566')).
% 1.65/1.33 tff(1134,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1133, 1132])).
% 1.65/1.33 tff(1135,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1134, 1130])).
% 1.65/1.33 tff(1136,plain,(
% 1.65/1.33 ![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1135])).
% 1.65/1.33 tff(1137,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1136, 1129])).
% 1.65/1.33 tff(1138,plain,
% 1.65/1.33 (((~![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))) | (vintage(saucelitocanyonzinfandel1998) | (~hasvintageyear(saucelitocanyonzinfandel1998, year1998)))) <=> ((~![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))) | vintage(saucelitocanyonzinfandel1998) | (~hasvintageyear(saucelitocanyonzinfandel1998, year1998)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1139,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))) | (vintage(saucelitocanyonzinfandel1998) | (~hasvintageyear(saucelitocanyonzinfandel1998, year1998)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1140,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : (vintage(X) | (~hasvintageyear(X, Y)))) | vintage(saucelitocanyonzinfandel1998) | (~hasvintageyear(saucelitocanyonzinfandel1998, year1998))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 1.65/1.33 tff(1141,plain,
% 1.65/1.33 (vintage(saucelitocanyonzinfandel1998)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1140, 1137, 861])).
% 1.65/1.33 tff(1142,assumption,(![X: $i] : (~vintage(X))), introduced(assumption)).
% 1.65/1.33 tff(1143,plain,
% 1.65/1.33 ((~![X: $i] : (~vintage(X))) | (~vintage(saucelitocanyonzinfandel1998))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1144,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1143, 1142, 1141])).
% 1.65/1.33 tff(1145,plain,(~![X: $i] : (~vintage(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1146,plain,
% 1.65/1.33 (^[X: $i] : refl((vintageyear(X) | (~vintageyear_aux(X))) <=> (vintageyear(X) | (~vintageyear_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1147,plain,
% 1.65/1.33 (![X: $i] : (vintageyear(X) | (~vintageyear_aux(X))) <=> ![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1146])).
% 1.65/1.33 tff(1148,plain,
% 1.65/1.33 (![X: $i] : (vintageyear(X) | (~vintageyear_aux(X))) <=> ![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1149,plain,
% 1.65/1.33 (^[X: $i] : rewrite((vintageyear_aux(X) => vintageyear(X)) <=> (vintageyear(X) | (~vintageyear_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1150,plain,
% 1.65/1.33 (![X: $i] : (vintageyear_aux(X) => vintageyear(X)) <=> ![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1149])).
% 1.65/1.33 tff(1151,axiom,(![X: $i] : (vintageyear_aux(X) => vintageyear(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula108')).
% 1.65/1.33 tff(1152,plain,
% 1.65/1.33 (![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 1.65/1.33 tff(1153,plain,
% 1.65/1.33 (![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1152, 1148])).
% 1.65/1.33 tff(1154,plain,(
% 1.65/1.33 ![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1153])).
% 1.65/1.33 tff(1155,plain,
% 1.65/1.33 (![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1154, 1147])).
% 1.65/1.33 tff(1156,plain,
% 1.65/1.33 (vintageyear_aux(year1998) <=> vintageyear_aux(year1998)),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1157,axiom,(vintageyear_aux(year1998)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula652')).
% 1.65/1.33 tff(1158,plain,
% 1.65/1.33 (vintageyear_aux(year1998)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 1.65/1.33 tff(1159,plain,
% 1.65/1.33 (((~![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))) | (vintageyear(year1998) | (~vintageyear_aux(year1998)))) <=> ((~![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))) | vintageyear(year1998) | (~vintageyear_aux(year1998)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1160,plain,
% 1.65/1.33 ((~![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))) | (vintageyear(year1998) | (~vintageyear_aux(year1998)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1161,plain,
% 1.65/1.33 ((~![X: $i] : (vintageyear(X) | (~vintageyear_aux(X)))) | vintageyear(year1998) | (~vintageyear_aux(year1998))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1160, 1159])).
% 1.65/1.33 tff(1162,plain,
% 1.65/1.33 (vintageyear(year1998)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1161, 1158, 1155])).
% 1.65/1.33 tff(1163,assumption,(![X: $i] : (~vintageyear(X))), introduced(assumption)).
% 1.65/1.33 tff(1164,plain,
% 1.65/1.33 ((~![X: $i] : (~vintageyear(X))) | (~vintageyear(year1998))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1165,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1164, 1163, 1162])).
% 1.65/1.33 tff(1166,plain,(~![X: $i] : (~vintageyear(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1167,plain,
% 1.65/1.33 (^[X: $i] : refl((merlot(X) | (~merlot_aux(X))) <=> (merlot(X) | (~merlot_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1168,plain,
% 1.65/1.33 (![X: $i] : (merlot(X) | (~merlot_aux(X))) <=> ![X: $i] : (merlot(X) | (~merlot_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1167])).
% 1.65/1.33 tff(1169,plain,
% 1.65/1.33 (![X: $i] : (merlot(X) | (~merlot_aux(X))) <=> ![X: $i] : (merlot(X) | (~merlot_aux(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1170,plain,
% 1.65/1.33 (^[X: $i] : rewrite((merlot_aux(X) => merlot(X)) <=> (merlot(X) | (~merlot_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1171,plain,
% 1.65/1.33 (![X: $i] : (merlot_aux(X) => merlot(X)) <=> ![X: $i] : (merlot(X) | (~merlot_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1170])).
% 1.65/1.33 tff(1172,axiom,(![X: $i] : (merlot_aux(X) => merlot(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula92')).
% 1.65/1.33 tff(1173,plain,
% 1.65/1.33 (![X: $i] : (merlot(X) | (~merlot_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1172, 1171])).
% 1.65/1.33 tff(1174,plain,
% 1.65/1.33 (![X: $i] : (merlot(X) | (~merlot_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1173, 1169])).
% 1.65/1.33 tff(1175,plain,(
% 1.65/1.33 ![X: $i] : (merlot(X) | (~merlot_aux(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1174])).
% 1.65/1.33 tff(1176,plain,
% 1.65/1.33 (![X: $i] : (merlot(X) | (~merlot_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1175, 1168])).
% 1.65/1.33 tff(1177,plain,
% 1.65/1.33 (merlot_aux(garyfarrellmerlot) <=> merlot_aux(garyfarrellmerlot)),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1178,axiom,(merlot_aux(garyfarrellmerlot)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula433')).
% 1.65/1.33 tff(1179,plain,
% 1.65/1.33 (merlot_aux(garyfarrellmerlot)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 1.65/1.33 tff(1180,plain,
% 1.65/1.33 (((~![X: $i] : (merlot(X) | (~merlot_aux(X)))) | (merlot(garyfarrellmerlot) | (~merlot_aux(garyfarrellmerlot)))) <=> ((~![X: $i] : (merlot(X) | (~merlot_aux(X)))) | merlot(garyfarrellmerlot) | (~merlot_aux(garyfarrellmerlot)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1181,plain,
% 1.65/1.33 ((~![X: $i] : (merlot(X) | (~merlot_aux(X)))) | (merlot(garyfarrellmerlot) | (~merlot_aux(garyfarrellmerlot)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1182,plain,
% 1.65/1.33 ((~![X: $i] : (merlot(X) | (~merlot_aux(X)))) | merlot(garyfarrellmerlot) | (~merlot_aux(garyfarrellmerlot))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 1.65/1.33 tff(1183,plain,
% 1.65/1.33 (merlot(garyfarrellmerlot)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1182, 1179, 1176])).
% 1.65/1.33 tff(1184,assumption,(![X: $i] : (~merlot(X))), introduced(assumption)).
% 1.65/1.33 tff(1185,plain,
% 1.65/1.33 ((~![X: $i] : (~merlot(X))) | (~merlot(garyfarrellmerlot))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1186,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1185, 1184, 1183])).
% 1.65/1.33 tff(1187,plain,(~![X: $i] : (~merlot(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1188,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : refl(((~hasmaker(X, Y)) | produceswine(Y, X)) <=> ((~hasmaker(X, Y)) | produceswine(Y, X)))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1189,plain,
% 1.65/1.33 (![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X)) <=> ![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1188])).
% 1.65/1.33 tff(1190,plain,
% 1.65/1.33 (![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X)) <=> ![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1191,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : rewrite((hasmaker(X, Y) => produceswine(Y, X)) <=> ((~hasmaker(X, Y)) | produceswine(Y, X)))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1192,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (hasmaker(X, Y) => produceswine(Y, X)) <=> ![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1191])).
% 1.65/1.33 tff(1193,axiom,(![X: $i, Y: $i] : (hasmaker(X, Y) => produceswine(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula914')).
% 1.65/1.33 tff(1194,plain,
% 1.65/1.33 (![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 1.65/1.33 tff(1195,plain,
% 1.65/1.33 (![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1194, 1190])).
% 1.65/1.33 tff(1196,plain,(
% 1.65/1.33 ![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1195])).
% 1.65/1.33 tff(1197,plain,
% 1.65/1.33 (![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1196, 1189])).
% 1.65/1.33 tff(1198,plain,
% 1.65/1.33 (((~![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))) | ((~hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet)) | produceswine(pulignymontrachet, pulignymontrachetwhiteburgundy))) <=> ((~![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))) | (~hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet)) | produceswine(pulignymontrachet, pulignymontrachetwhiteburgundy))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1199,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))) | ((~hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet)) | produceswine(pulignymontrachet, pulignymontrachetwhiteburgundy))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1200,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~hasmaker(X, Y)) | produceswine(Y, X))) | (~hasmaker(pulignymontrachetwhiteburgundy, pulignymontrachet)) | produceswine(pulignymontrachet, pulignymontrachetwhiteburgundy)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 1.65/1.33 tff(1201,plain,
% 1.65/1.33 (produceswine(pulignymontrachet, pulignymontrachetwhiteburgundy)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1200, 1197, 122])).
% 1.65/1.33 tff(1202,assumption,(![Y: $i, X: $i] : (~produceswine(X, Y))), introduced(assumption)).
% 1.65/1.33 tff(1203,plain,
% 1.65/1.33 ((~![Y: $i, X: $i] : (~produceswine(X, Y))) | (~produceswine(pulignymontrachet, pulignymontrachetwhiteburgundy))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1204,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1203, 1202, 1201])).
% 1.65/1.33 tff(1205,plain,(~![Y: $i, X: $i] : (~produceswine(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1206,plain,
% 1.65/1.33 (^[X: $i] : refl((icewine(X) | (~icewine_aux(X))) <=> (icewine(X) | (~icewine_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1207,plain,
% 1.65/1.33 (![X: $i] : (icewine(X) | (~icewine_aux(X))) <=> ![X: $i] : (icewine(X) | (~icewine_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1206])).
% 1.65/1.33 tff(1208,plain,
% 1.65/1.33 (![X: $i] : (icewine(X) | (~icewine_aux(X))) <=> ![X: $i] : (icewine(X) | (~icewine_aux(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1209,plain,
% 1.65/1.33 (^[X: $i] : rewrite((icewine_aux(X) => icewine(X)) <=> (icewine(X) | (~icewine_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1210,plain,
% 1.65/1.33 (![X: $i] : (icewine_aux(X) => icewine(X)) <=> ![X: $i] : (icewine(X) | (~icewine_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1209])).
% 1.65/1.33 tff(1211,axiom,(![X: $i] : (icewine_aux(X) => icewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula89')).
% 1.65/1.33 tff(1212,plain,
% 1.65/1.33 (![X: $i] : (icewine(X) | (~icewine_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 1.65/1.33 tff(1213,plain,
% 1.65/1.33 (![X: $i] : (icewine(X) | (~icewine_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1212, 1208])).
% 1.65/1.33 tff(1214,plain,(
% 1.65/1.33 ![X: $i] : (icewine(X) | (~icewine_aux(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1213])).
% 1.65/1.33 tff(1215,plain,
% 1.65/1.33 (![X: $i] : (icewine(X) | (~icewine_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1214, 1207])).
% 1.65/1.33 tff(1216,plain,
% 1.65/1.33 (icewine_aux(selaksicewine) <=> icewine_aux(selaksicewine)),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1217,axiom,(icewine_aux(selaksicewine)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula414')).
% 1.65/1.33 tff(1218,plain,
% 1.65/1.33 (icewine_aux(selaksicewine)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 1.65/1.33 tff(1219,plain,
% 1.65/1.33 (((~![X: $i] : (icewine(X) | (~icewine_aux(X)))) | (icewine(selaksicewine) | (~icewine_aux(selaksicewine)))) <=> ((~![X: $i] : (icewine(X) | (~icewine_aux(X)))) | icewine(selaksicewine) | (~icewine_aux(selaksicewine)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1220,plain,
% 1.65/1.33 ((~![X: $i] : (icewine(X) | (~icewine_aux(X)))) | (icewine(selaksicewine) | (~icewine_aux(selaksicewine)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1221,plain,
% 1.65/1.33 ((~![X: $i] : (icewine(X) | (~icewine_aux(X)))) | icewine(selaksicewine) | (~icewine_aux(selaksicewine))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 1.65/1.33 tff(1222,plain,
% 1.65/1.33 (icewine(selaksicewine)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1221, 1218, 1215])).
% 1.65/1.33 tff(1223,plain,
% 1.65/1.33 (^[X: $i] : refl((lateharvest(X) | (~icewine(X))) <=> (lateharvest(X) | (~icewine(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1224,plain,
% 1.65/1.33 (![X: $i] : (lateharvest(X) | (~icewine(X))) <=> ![X: $i] : (lateharvest(X) | (~icewine(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1223])).
% 1.65/1.33 tff(1225,plain,
% 1.65/1.33 (![X: $i] : (lateharvest(X) | (~icewine(X))) <=> ![X: $i] : (lateharvest(X) | (~icewine(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1226,plain,
% 1.65/1.33 (^[X: $i] : rewrite((icewine(X) => lateharvest(X)) <=> (lateharvest(X) | (~icewine(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1227,plain,
% 1.65/1.33 (![X: $i] : (icewine(X) => lateharvest(X)) <=> ![X: $i] : (lateharvest(X) | (~icewine(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1226])).
% 1.65/1.33 tff(1228,axiom,(![X: $i] : (icewine(X) => lateharvest(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula476')).
% 1.65/1.33 tff(1229,plain,
% 1.65/1.33 (![X: $i] : (lateharvest(X) | (~icewine(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 1.65/1.33 tff(1230,plain,
% 1.65/1.33 (![X: $i] : (lateharvest(X) | (~icewine(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1229, 1225])).
% 1.65/1.33 tff(1231,plain,(
% 1.65/1.33 ![X: $i] : (lateharvest(X) | (~icewine(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1230])).
% 1.65/1.33 tff(1232,plain,
% 1.65/1.33 (![X: $i] : (lateharvest(X) | (~icewine(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1231, 1224])).
% 1.65/1.33 tff(1233,plain,
% 1.65/1.33 (((~![X: $i] : (lateharvest(X) | (~icewine(X)))) | (lateharvest(selaksicewine) | (~icewine(selaksicewine)))) <=> ((~![X: $i] : (lateharvest(X) | (~icewine(X)))) | lateharvest(selaksicewine) | (~icewine(selaksicewine)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1234,plain,
% 1.65/1.33 ((~![X: $i] : (lateharvest(X) | (~icewine(X)))) | (lateharvest(selaksicewine) | (~icewine(selaksicewine)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1235,plain,
% 1.65/1.33 ((~![X: $i] : (lateharvest(X) | (~icewine(X)))) | lateharvest(selaksicewine) | (~icewine(selaksicewine))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 1.65/1.33 tff(1236,plain,
% 1.65/1.33 (lateharvest(selaksicewine)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1235, 1232, 1222])).
% 1.65/1.33 tff(1237,assumption,(![X: $i] : (~lateharvest(X))), introduced(assumption)).
% 1.65/1.33 tff(1238,plain,
% 1.65/1.33 ((~![X: $i] : (~lateharvest(X))) | (~lateharvest(selaksicewine))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1239,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1238, 1237, 1236])).
% 1.65/1.33 tff(1240,plain,(~![X: $i] : (~lateharvest(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1241,plain,
% 1.65/1.33 (^[X: $i] : refl((chianti(X) | (~chianti_aux(X))) <=> (chianti(X) | (~chianti_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1242,plain,
% 1.65/1.33 (![X: $i] : (chianti(X) | (~chianti_aux(X))) <=> ![X: $i] : (chianti(X) | (~chianti_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1241])).
% 1.65/1.33 tff(1243,plain,
% 1.65/1.33 (![X: $i] : (chianti(X) | (~chianti_aux(X))) <=> ![X: $i] : (chianti(X) | (~chianti_aux(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1244,plain,
% 1.65/1.33 (^[X: $i] : rewrite((chianti_aux(X) => chianti(X)) <=> (chianti(X) | (~chianti_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1245,plain,
% 1.65/1.33 (![X: $i] : (chianti_aux(X) => chianti(X)) <=> ![X: $i] : (chianti(X) | (~chianti_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1244])).
% 1.65/1.33 tff(1246,axiom,(![X: $i] : (chianti_aux(X) => chianti(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula85')).
% 1.65/1.33 tff(1247,plain,
% 1.65/1.33 (![X: $i] : (chianti(X) | (~chianti_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 1.65/1.33 tff(1248,plain,
% 1.65/1.33 (![X: $i] : (chianti(X) | (~chianti_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1247, 1243])).
% 1.65/1.33 tff(1249,plain,(
% 1.65/1.33 ![X: $i] : (chianti(X) | (~chianti_aux(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1248])).
% 1.65/1.33 tff(1250,plain,
% 1.65/1.33 (![X: $i] : (chianti(X) | (~chianti_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1249, 1242])).
% 1.65/1.33 tff(1251,plain,
% 1.65/1.33 (chianti_aux(chianticlassico) <=> chianti_aux(chianticlassico)),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1252,axiom,(chianti_aux(chianticlassico)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula431')).
% 1.65/1.33 tff(1253,plain,
% 1.65/1.33 (chianti_aux(chianticlassico)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1252, 1251])).
% 1.65/1.33 tff(1254,plain,
% 1.65/1.33 (((~![X: $i] : (chianti(X) | (~chianti_aux(X)))) | (chianti(chianticlassico) | (~chianti_aux(chianticlassico)))) <=> ((~![X: $i] : (chianti(X) | (~chianti_aux(X)))) | chianti(chianticlassico) | (~chianti_aux(chianticlassico)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1255,plain,
% 1.65/1.33 ((~![X: $i] : (chianti(X) | (~chianti_aux(X)))) | (chianti(chianticlassico) | (~chianti_aux(chianticlassico)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1256,plain,
% 1.65/1.33 ((~![X: $i] : (chianti(X) | (~chianti_aux(X)))) | chianti(chianticlassico) | (~chianti_aux(chianticlassico))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 1.65/1.33 tff(1257,plain,
% 1.65/1.33 (chianti(chianticlassico)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1256, 1253, 1250])).
% 1.65/1.33 tff(1258,plain,
% 1.65/1.33 (^[X: $i] : refl((italianwine(X) | (~chianti(X))) <=> (italianwine(X) | (~chianti(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1259,plain,
% 1.65/1.33 (![X: $i] : (italianwine(X) | (~chianti(X))) <=> ![X: $i] : (italianwine(X) | (~chianti(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1258])).
% 1.65/1.33 tff(1260,plain,
% 1.65/1.33 (![X: $i] : (italianwine(X) | (~chianti(X))) <=> ![X: $i] : (italianwine(X) | (~chianti(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1261,plain,
% 1.65/1.33 (^[X: $i] : rewrite((chianti(X) => italianwine(X)) <=> (italianwine(X) | (~chianti(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1262,plain,
% 1.65/1.33 (![X: $i] : (chianti(X) => italianwine(X)) <=> ![X: $i] : (italianwine(X) | (~chianti(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1261])).
% 1.65/1.33 tff(1263,axiom,(![X: $i] : (chianti(X) => italianwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula473')).
% 1.65/1.33 tff(1264,plain,
% 1.65/1.33 (![X: $i] : (italianwine(X) | (~chianti(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1263, 1262])).
% 1.65/1.33 tff(1265,plain,
% 1.65/1.33 (![X: $i] : (italianwine(X) | (~chianti(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1264, 1260])).
% 1.65/1.33 tff(1266,plain,(
% 1.65/1.33 ![X: $i] : (italianwine(X) | (~chianti(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1265])).
% 1.65/1.33 tff(1267,plain,
% 1.65/1.33 (![X: $i] : (italianwine(X) | (~chianti(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1266, 1259])).
% 1.65/1.33 tff(1268,plain,
% 1.65/1.33 (((~![X: $i] : (italianwine(X) | (~chianti(X)))) | (italianwine(chianticlassico) | (~chianti(chianticlassico)))) <=> ((~![X: $i] : (italianwine(X) | (~chianti(X)))) | italianwine(chianticlassico) | (~chianti(chianticlassico)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1269,plain,
% 1.65/1.33 ((~![X: $i] : (italianwine(X) | (~chianti(X)))) | (italianwine(chianticlassico) | (~chianti(chianticlassico)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1270,plain,
% 1.65/1.33 ((~![X: $i] : (italianwine(X) | (~chianti(X)))) | italianwine(chianticlassico) | (~chianti(chianticlassico))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 1.65/1.33 tff(1271,plain,
% 1.65/1.33 (italianwine(chianticlassico)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1270, 1267, 1257])).
% 1.65/1.33 tff(1272,assumption,(![X: $i] : (~italianwine(X))), introduced(assumption)).
% 1.65/1.33 tff(1273,plain,
% 1.65/1.33 ((~![X: $i] : (~italianwine(X))) | (~italianwine(chianticlassico))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1274,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1273, 1272, 1271])).
% 1.65/1.33 tff(1275,plain,(~![X: $i] : (~italianwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1276,assumption,(![X: $i] : (~icewine(X))), introduced(assumption)).
% 1.65/1.33 tff(1277,plain,
% 1.65/1.33 ((~![X: $i] : (~icewine(X))) | (~icewine(selaksicewine))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1278,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1277, 1276, 1222])).
% 1.65/1.33 tff(1279,plain,(~![X: $i] : (~icewine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1280,plain,
% 1.65/1.33 (^[X: $i] : refl((grape(X) | (~winegrape(X))) <=> (grape(X) | (~winegrape(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1281,plain,
% 1.65/1.33 (![X: $i] : (grape(X) | (~winegrape(X))) <=> ![X: $i] : (grape(X) | (~winegrape(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1280])).
% 1.65/1.33 tff(1282,plain,
% 1.65/1.33 (![X: $i] : (grape(X) | (~winegrape(X))) <=> ![X: $i] : (grape(X) | (~winegrape(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1283,plain,
% 1.65/1.33 (^[X: $i] : rewrite((winegrape(X) => grape(X)) <=> (grape(X) | (~winegrape(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1284,plain,
% 1.65/1.33 (![X: $i] : (winegrape(X) => grape(X)) <=> ![X: $i] : (grape(X) | (~winegrape(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1283])).
% 1.65/1.33 tff(1285,axiom,(![X: $i] : (winegrape(X) => grape(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula469')).
% 1.65/1.33 tff(1286,plain,
% 1.65/1.33 (![X: $i] : (grape(X) | (~winegrape(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 1.65/1.33 tff(1287,plain,
% 1.65/1.33 (![X: $i] : (grape(X) | (~winegrape(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1286, 1282])).
% 1.65/1.33 tff(1288,plain,(
% 1.65/1.33 ![X: $i] : (grape(X) | (~winegrape(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1287])).
% 1.65/1.33 tff(1289,plain,
% 1.65/1.33 (![X: $i] : (grape(X) | (~winegrape(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1288, 1281])).
% 1.65/1.33 tff(1290,plain,
% 1.65/1.33 (((~![X: $i] : (grape(X) | (~winegrape(X)))) | (grape(petitesyrahgrape) | (~winegrape(petitesyrahgrape)))) <=> ((~![X: $i] : (grape(X) | (~winegrape(X)))) | grape(petitesyrahgrape) | (~winegrape(petitesyrahgrape)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1291,plain,
% 1.65/1.33 ((~![X: $i] : (grape(X) | (~winegrape(X)))) | (grape(petitesyrahgrape) | (~winegrape(petitesyrahgrape)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1292,plain,
% 1.65/1.33 ((~![X: $i] : (grape(X) | (~winegrape(X)))) | grape(petitesyrahgrape) | (~winegrape(petitesyrahgrape))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 1.65/1.33 tff(1293,plain,
% 1.65/1.33 (grape(petitesyrahgrape)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1292, 1289, 1123])).
% 1.65/1.33 tff(1294,assumption,(![X: $i] : (~grape(X))), introduced(assumption)).
% 1.65/1.33 tff(1295,plain,
% 1.65/1.33 ((~![X: $i] : (~grape(X))) | (~grape(petitesyrahgrape))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1296,plain,
% 1.65/1.33 ($false),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1295, 1294, 1293])).
% 1.65/1.33 tff(1297,plain,(~![X: $i] : (~grape(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.33 tff(1298,plain,
% 1.65/1.33 (hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet) <=> hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet)),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1299,axiom,(hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula152')).
% 1.65/1.33 tff(1300,plain,
% 1.65/1.33 (hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 1.65/1.33 tff(1301,plain,
% 1.65/1.33 (((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet)) | hassugar(schlossrothermeltrochenbierenausleseriesling, sweet))) <=> ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet)) | hassugar(schlossrothermeltrochenbierenausleseriesling, sweet))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1302,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet)) | hassugar(schlossrothermeltrochenbierenausleseriesling, sweet))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1303,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(schlossrothermeltrochenbierenausleseriesling, sweet)) | hassugar(schlossrothermeltrochenbierenausleseriesling, sweet)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1302, 1301])).
% 1.65/1.33 tff(1304,plain,
% 1.65/1.33 (hassugar(schlossrothermeltrochenbierenausleseriesling, sweet)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1303, 1300, 136])).
% 1.65/1.33 tff(1305,plain,
% 1.65/1.33 (((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | ((~hassugar(schlossrothermeltrochenbierenausleseriesling, sweet)) | haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet))) <=> ((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | (~hassugar(schlossrothermeltrochenbierenausleseriesling, sweet)) | haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1306,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | ((~hassugar(schlossrothermeltrochenbierenausleseriesling, sweet)) | haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1307,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~hassugar(X, Y)) | haswinedescriptor(X, Y))) | (~hassugar(schlossrothermeltrochenbierenausleseriesling, sweet)) | haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 1.65/1.33 tff(1308,plain,
% 1.65/1.33 (haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1307, 556, 1304])).
% 1.65/1.33 tff(1309,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : refl((wine(X) | (~haswinedescriptor(X, Y))) <=> (wine(X) | (~haswinedescriptor(X, Y))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1310,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y))) <=> ![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1309])).
% 1.65/1.33 tff(1311,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y))) <=> ![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1312,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : rewrite((haswinedescriptor(X, Y) => wine(X)) <=> (wine(X) | (~haswinedescriptor(X, Y))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1313,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (haswinedescriptor(X, Y) => wine(X)) <=> ![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1312])).
% 1.65/1.33 tff(1314,axiom,(![X: $i, Y: $i] : (haswinedescriptor(X, Y) => wine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula595')).
% 1.65/1.33 tff(1315,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 1.65/1.33 tff(1316,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1315, 1311])).
% 1.65/1.33 tff(1317,plain,(
% 1.65/1.33 ![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1316])).
% 1.65/1.33 tff(1318,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1317, 1310])).
% 1.65/1.33 tff(1319,plain,
% 1.65/1.33 (((~![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))) | (wine(schlossrothermeltrochenbierenausleseriesling) | (~haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet)))) <=> ((~![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))) | wine(schlossrothermeltrochenbierenausleseriesling) | (~haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1320,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))) | (wine(schlossrothermeltrochenbierenausleseriesling) | (~haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1321,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : (wine(X) | (~haswinedescriptor(X, Y)))) | wine(schlossrothermeltrochenbierenausleseriesling) | (~haswinedescriptor(schlossrothermeltrochenbierenausleseriesling, sweet))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 1.65/1.33 tff(1322,plain,
% 1.65/1.33 (wine(schlossrothermeltrochenbierenausleseriesling)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1321, 1318, 1308])).
% 1.65/1.33 tff(1323,plain,
% 1.65/1.33 (^[X: $i] : refl((ot____nom17(X) | (~ot____nom17_aux(X))) <=> (ot____nom17(X) | (~ot____nom17_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1324,plain,
% 1.65/1.33 (![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X))) <=> ![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1323])).
% 1.65/1.33 tff(1325,plain,
% 1.65/1.33 (![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X))) <=> ![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1326,plain,
% 1.65/1.33 (^[X: $i] : rewrite((ot____nom17_aux(X) => ot____nom17(X)) <=> (ot____nom17(X) | (~ot____nom17_aux(X))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1327,plain,
% 1.65/1.33 (![X: $i] : (ot____nom17_aux(X) => ot____nom17(X)) <=> ![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1326])).
% 1.65/1.33 tff(1328,axiom,(![X: $i] : (ot____nom17_aux(X) => ot____nom17(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula18')).
% 1.65/1.33 tff(1329,plain,
% 1.65/1.33 (![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 1.65/1.33 tff(1330,plain,
% 1.65/1.33 (![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1329, 1325])).
% 1.65/1.33 tff(1331,plain,(
% 1.65/1.33 ![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))),
% 1.65/1.33 inference(skolemize,[status(sab)],[1330])).
% 1.65/1.33 tff(1332,plain,
% 1.65/1.33 (![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1331, 1324])).
% 1.65/1.33 tff(1333,plain,
% 1.65/1.33 (ot____nom17_aux(germanyregion) <=> ot____nom17_aux(germanyregion)),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1334,axiom,(ot____nom17_aux(germanyregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula253')).
% 1.65/1.33 tff(1335,plain,
% 1.65/1.33 (ot____nom17_aux(germanyregion)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1334, 1333])).
% 1.65/1.33 tff(1336,plain,
% 1.65/1.33 (((~![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))) | (ot____nom17(germanyregion) | (~ot____nom17_aux(germanyregion)))) <=> ((~![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))) | ot____nom17(germanyregion) | (~ot____nom17_aux(germanyregion)))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1337,plain,
% 1.65/1.33 ((~![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))) | (ot____nom17(germanyregion) | (~ot____nom17_aux(germanyregion)))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1338,plain,
% 1.65/1.33 ((~![X: $i] : (ot____nom17(X) | (~ot____nom17_aux(X)))) | ot____nom17(germanyregion) | (~ot____nom17_aux(germanyregion))),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1337, 1336])).
% 1.65/1.33 tff(1339,plain,
% 1.65/1.33 (ot____nom17(germanyregion)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1338, 1335, 1332])).
% 1.65/1.33 tff(1340,plain,
% 1.65/1.33 (locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion) <=> locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion)),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1341,axiom,(locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula198')).
% 1.65/1.33 tff(1342,plain,
% 1.65/1.33 (locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 1.65/1.33 tff(1343,plain,
% 1.65/1.33 (((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion))) <=> ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1344,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion))),
% 1.65/1.33 inference(quant_inst,[status(thm)],[])).
% 1.65/1.33 tff(1345,plain,
% 1.65/1.33 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)),
% 1.65/1.33 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 1.65/1.33 tff(1346,plain,
% 1.65/1.33 (locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)),
% 1.65/1.33 inference(unit_resolution,[status(thm)],[1345, 1342, 10])).
% 1.65/1.33 tff(1347,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : refl((q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y))) <=> (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1348,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y))) <=> ![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1347])).
% 1.65/1.33 tff(1349,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((locatedin(X, Y) & ot____nom17(Y)) <=> (~((~locatedin(X, Y)) | (~ot____nom17(Y))))), ((~(locatedin(X, Y) & ot____nom17(Y))) <=> (~(~((~locatedin(X, Y)) | (~ot____nom17(Y))))))), rewrite((~(~((~locatedin(X, Y)) | (~ot____nom17(Y))))) <=> ((~locatedin(X, Y)) | (~ot____nom17(Y)))), ((~(locatedin(X, Y) & ot____nom17(Y))) <=> ((~locatedin(X, Y)) | (~ot____nom17(Y))))), ((q50(X) | (~(locatedin(X, Y) & ot____nom17(Y)))) <=> (q50(X) | ((~locatedin(X, Y)) | (~ot____nom17(Y)))))), rewrite((q50(X) | ((~locatedin(X, Y)) | (~ot____nom17(Y)))) <=> (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))), ((q50(X) | (~(locatedin(X, Y) & ot____nom17(Y)))) <=> (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1350,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y)))) <=> ![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1349])).
% 1.65/1.33 tff(1351,plain,
% 1.65/1.33 (![X: $i, Y: $i] : (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y)))) <=> ![X: $i, Y: $i] : (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y))))),
% 1.65/1.33 inference(rewrite,[status(thm)],[])).
% 1.65/1.33 tff(1352,plain,
% 1.65/1.33 (^[X: $i, Y: $i] : rewrite(((locatedin(X, Y) & ot____nom17(Y)) => q50(X)) <=> (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y)))))),
% 1.65/1.33 inference(bind,[status(th)],[])).
% 1.65/1.33 tff(1353,plain,
% 1.65/1.33 (![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom17(Y)) => q50(X)) <=> ![X: $i, Y: $i] : (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y))))),
% 1.65/1.33 inference(quant_intro,[status(thm)],[1352])).
% 1.65/1.33 tff(1354,axiom,(![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom17(Y)) => q50(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula329')).
% 1.65/1.34 tff(1355,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 1.65/1.34 tff(1356,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1355, 1351])).
% 1.65/1.34 tff(1357,plain,(
% 1.65/1.34 ![X: $i, Y: $i] : (q50(X) | (~(locatedin(X, Y) & ot____nom17(Y))))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1356])).
% 1.65/1.34 tff(1358,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1357, 1350])).
% 1.65/1.34 tff(1359,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1358, 1348])).
% 1.65/1.34 tff(1360,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | ((~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | q50(schlossrothermeltrochenbierenausleseriesling) | (~ot____nom17(germanyregion)))) <=> ((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | (~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | q50(schlossrothermeltrochenbierenausleseriesling) | (~ot____nom17(germanyregion)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1361,plain,
% 1.65/1.34 ((q50(schlossrothermeltrochenbierenausleseriesling) | (~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | (~ot____nom17(germanyregion))) <=> ((~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | q50(schlossrothermeltrochenbierenausleseriesling) | (~ot____nom17(germanyregion)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1362,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | (q50(schlossrothermeltrochenbierenausleseriesling) | (~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | (~ot____nom17(germanyregion)))) <=> ((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | ((~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | q50(schlossrothermeltrochenbierenausleseriesling) | (~ot____nom17(germanyregion))))),
% 1.65/1.34 inference(monotonicity,[status(thm)],[1361])).
% 1.65/1.34 tff(1363,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | (q50(schlossrothermeltrochenbierenausleseriesling) | (~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | (~ot____nom17(germanyregion)))) <=> ((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | (~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | q50(schlossrothermeltrochenbierenausleseriesling) | (~ot____nom17(germanyregion)))),
% 1.65/1.34 inference(transitivity,[status(thm)],[1362, 1360])).
% 1.65/1.34 tff(1364,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | (q50(schlossrothermeltrochenbierenausleseriesling) | (~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | (~ot____nom17(germanyregion)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1365,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : (q50(X) | (~locatedin(X, Y)) | (~ot____nom17(Y)))) | (~locatedin(schlossrothermeltrochenbierenausleseriesling, germanyregion)) | q50(schlossrothermeltrochenbierenausleseriesling) | (~ot____nom17(germanyregion))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 1.65/1.34 tff(1366,plain,
% 1.65/1.34 (q50(schlossrothermeltrochenbierenausleseriesling)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1365, 1359, 1346, 1339])).
% 1.65/1.34 tff(1367,plain,
% 1.65/1.34 (^[X: $i] : refl((germanwine(X) | (~wine(X)) | (~q50(X))) <=> (germanwine(X) | (~wine(X)) | (~q50(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1368,plain,
% 1.65/1.34 (![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X))) <=> ![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1367])).
% 1.65/1.34 tff(1369,plain,
% 1.65/1.34 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q50(X) & wine(X)) <=> (~((~q50(X)) | (~wine(X))))), ((~(q50(X) & wine(X))) <=> (~(~((~q50(X)) | (~wine(X))))))), rewrite((~(~((~q50(X)) | (~wine(X))))) <=> ((~q50(X)) | (~wine(X)))), ((~(q50(X) & wine(X))) <=> ((~q50(X)) | (~wine(X))))), ((germanwine(X) | (~(q50(X) & wine(X)))) <=> (germanwine(X) | ((~q50(X)) | (~wine(X)))))), rewrite((germanwine(X) | ((~q50(X)) | (~wine(X)))) <=> (germanwine(X) | (~wine(X)) | (~q50(X)))), ((germanwine(X) | (~(q50(X) & wine(X)))) <=> (germanwine(X) | (~wine(X)) | (~q50(X)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1370,plain,
% 1.65/1.34 (![X: $i] : (germanwine(X) | (~(q50(X) & wine(X)))) <=> ![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1369])).
% 1.65/1.34 tff(1371,plain,
% 1.65/1.34 (![X: $i] : (germanwine(X) | (~(q50(X) & wine(X)))) <=> ![X: $i] : (germanwine(X) | (~(q50(X) & wine(X))))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1372,plain,
% 1.65/1.34 (^[X: $i] : rewrite(((q50(X) & wine(X)) => germanwine(X)) <=> (germanwine(X) | (~(q50(X) & wine(X)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1373,plain,
% 1.65/1.34 (![X: $i] : ((q50(X) & wine(X)) => germanwine(X)) <=> ![X: $i] : (germanwine(X) | (~(q50(X) & wine(X))))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1372])).
% 1.65/1.34 tff(1374,axiom,(![X: $i] : ((q50(X) & wine(X)) => germanwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula467')).
% 1.65/1.34 tff(1375,plain,
% 1.65/1.34 (![X: $i] : (germanwine(X) | (~(q50(X) & wine(X))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1374, 1373])).
% 1.65/1.34 tff(1376,plain,
% 1.65/1.34 (![X: $i] : (germanwine(X) | (~(q50(X) & wine(X))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1375, 1371])).
% 1.65/1.34 tff(1377,plain,(
% 1.65/1.34 ![X: $i] : (germanwine(X) | (~(q50(X) & wine(X))))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1376])).
% 1.65/1.34 tff(1378,plain,
% 1.65/1.34 (![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1377, 1370])).
% 1.65/1.34 tff(1379,plain,
% 1.65/1.34 (![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1378, 1368])).
% 1.65/1.34 tff(1380,plain,
% 1.65/1.34 (((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | ((~wine(schlossrothermeltrochenbierenausleseriesling)) | germanwine(schlossrothermeltrochenbierenausleseriesling) | (~q50(schlossrothermeltrochenbierenausleseriesling)))) <=> ((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | (~wine(schlossrothermeltrochenbierenausleseriesling)) | germanwine(schlossrothermeltrochenbierenausleseriesling) | (~q50(schlossrothermeltrochenbierenausleseriesling)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1381,plain,
% 1.65/1.34 ((germanwine(schlossrothermeltrochenbierenausleseriesling) | (~wine(schlossrothermeltrochenbierenausleseriesling)) | (~q50(schlossrothermeltrochenbierenausleseriesling))) <=> ((~wine(schlossrothermeltrochenbierenausleseriesling)) | germanwine(schlossrothermeltrochenbierenausleseriesling) | (~q50(schlossrothermeltrochenbierenausleseriesling)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1382,plain,
% 1.65/1.34 (((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | (germanwine(schlossrothermeltrochenbierenausleseriesling) | (~wine(schlossrothermeltrochenbierenausleseriesling)) | (~q50(schlossrothermeltrochenbierenausleseriesling)))) <=> ((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | ((~wine(schlossrothermeltrochenbierenausleseriesling)) | germanwine(schlossrothermeltrochenbierenausleseriesling) | (~q50(schlossrothermeltrochenbierenausleseriesling))))),
% 1.65/1.34 inference(monotonicity,[status(thm)],[1381])).
% 1.65/1.34 tff(1383,plain,
% 1.65/1.34 (((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | (germanwine(schlossrothermeltrochenbierenausleseriesling) | (~wine(schlossrothermeltrochenbierenausleseriesling)) | (~q50(schlossrothermeltrochenbierenausleseriesling)))) <=> ((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | (~wine(schlossrothermeltrochenbierenausleseriesling)) | germanwine(schlossrothermeltrochenbierenausleseriesling) | (~q50(schlossrothermeltrochenbierenausleseriesling)))),
% 1.65/1.34 inference(transitivity,[status(thm)],[1382, 1380])).
% 1.65/1.34 tff(1384,plain,
% 1.65/1.34 ((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | (germanwine(schlossrothermeltrochenbierenausleseriesling) | (~wine(schlossrothermeltrochenbierenausleseriesling)) | (~q50(schlossrothermeltrochenbierenausleseriesling)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1385,plain,
% 1.65/1.34 ((~![X: $i] : (germanwine(X) | (~wine(X)) | (~q50(X)))) | (~wine(schlossrothermeltrochenbierenausleseriesling)) | germanwine(schlossrothermeltrochenbierenausleseriesling) | (~q50(schlossrothermeltrochenbierenausleseriesling))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 1.65/1.34 tff(1386,plain,
% 1.65/1.34 ((~wine(schlossrothermeltrochenbierenausleseriesling)) | germanwine(schlossrothermeltrochenbierenausleseriesling)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1385, 1379, 1366])).
% 1.65/1.34 tff(1387,plain,
% 1.65/1.34 (germanwine(schlossrothermeltrochenbierenausleseriesling)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1386, 1322])).
% 1.65/1.34 tff(1388,assumption,(![X: $i] : (~germanwine(X))), introduced(assumption)).
% 1.65/1.34 tff(1389,plain,
% 1.65/1.34 ((~![X: $i] : (~germanwine(X))) | (~germanwine(schlossrothermeltrochenbierenausleseriesling))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1390,plain,
% 1.65/1.34 ($false),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1389, 1388, 1387])).
% 1.65/1.34 tff(1391,plain,(~![X: $i] : (~germanwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.34 tff(1392,plain,
% 1.65/1.34 (^[X: $i] : refl((beaujolais(X) | (~beaujolais_aux(X))) <=> (beaujolais(X) | (~beaujolais_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1393,plain,
% 1.65/1.34 (![X: $i] : (beaujolais(X) | (~beaujolais_aux(X))) <=> ![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1392])).
% 1.65/1.34 tff(1394,plain,
% 1.65/1.34 (![X: $i] : (beaujolais(X) | (~beaujolais_aux(X))) <=> ![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1395,plain,
% 1.65/1.34 (^[X: $i] : rewrite((beaujolais_aux(X) => beaujolais(X)) <=> (beaujolais(X) | (~beaujolais_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1396,plain,
% 1.65/1.34 (![X: $i] : (beaujolais_aux(X) => beaujolais(X)) <=> ![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1395])).
% 1.65/1.34 tff(1397,axiom,(![X: $i] : (beaujolais_aux(X) => beaujolais(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula80')).
% 1.65/1.34 tff(1398,plain,
% 1.65/1.34 (![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 1.65/1.34 tff(1399,plain,
% 1.65/1.34 (![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1398, 1394])).
% 1.65/1.34 tff(1400,plain,(
% 1.65/1.34 ![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1399])).
% 1.65/1.34 tff(1401,plain,
% 1.65/1.34 (![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1400, 1393])).
% 1.65/1.34 tff(1402,plain,
% 1.65/1.34 (beaujolais_aux(chateaumorgonbeaujolais) <=> beaujolais_aux(chateaumorgonbeaujolais)),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1403,axiom,(beaujolais_aux(chateaumorgonbeaujolais)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula422')).
% 1.65/1.34 tff(1404,plain,
% 1.65/1.34 (beaujolais_aux(chateaumorgonbeaujolais)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 1.65/1.34 tff(1405,plain,
% 1.65/1.34 (((~![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))) | (beaujolais(chateaumorgonbeaujolais) | (~beaujolais_aux(chateaumorgonbeaujolais)))) <=> ((~![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))) | beaujolais(chateaumorgonbeaujolais) | (~beaujolais_aux(chateaumorgonbeaujolais)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1406,plain,
% 1.65/1.34 ((~![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))) | (beaujolais(chateaumorgonbeaujolais) | (~beaujolais_aux(chateaumorgonbeaujolais)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1407,plain,
% 1.65/1.34 ((~![X: $i] : (beaujolais(X) | (~beaujolais_aux(X)))) | beaujolais(chateaumorgonbeaujolais) | (~beaujolais_aux(chateaumorgonbeaujolais))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 1.65/1.34 tff(1408,plain,
% 1.65/1.34 (beaujolais(chateaumorgonbeaujolais)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1407, 1404, 1401])).
% 1.65/1.34 tff(1409,plain,
% 1.65/1.34 (^[X: $i] : refl((q14(X) | (~beaujolais(X))) <=> (q14(X) | (~beaujolais(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1410,plain,
% 1.65/1.34 (![X: $i] : (q14(X) | (~beaujolais(X))) <=> ![X: $i] : (q14(X) | (~beaujolais(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1409])).
% 1.65/1.34 tff(1411,plain,
% 1.65/1.34 (![X: $i] : (q14(X) | (~beaujolais(X))) <=> ![X: $i] : (q14(X) | (~beaujolais(X)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1412,plain,
% 1.65/1.34 (^[X: $i] : rewrite((beaujolais(X) => q14(X)) <=> (q14(X) | (~beaujolais(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1413,plain,
% 1.65/1.34 (![X: $i] : (beaujolais(X) => q14(X)) <=> ![X: $i] : (q14(X) | (~beaujolais(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1412])).
% 1.65/1.34 tff(1414,axiom,(![X: $i] : (beaujolais(X) => q14(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula152')).
% 1.65/1.34 tff(1415,plain,
% 1.65/1.34 (![X: $i] : (q14(X) | (~beaujolais(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1414, 1413])).
% 1.65/1.34 tff(1416,plain,
% 1.65/1.34 (![X: $i] : (q14(X) | (~beaujolais(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1415, 1411])).
% 1.65/1.34 tff(1417,plain,(
% 1.65/1.34 ![X: $i] : (q14(X) | (~beaujolais(X)))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1416])).
% 1.65/1.34 tff(1418,plain,
% 1.65/1.34 (![X: $i] : (q14(X) | (~beaujolais(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1417, 1410])).
% 1.65/1.34 tff(1419,plain,
% 1.65/1.34 (((~![X: $i] : (q14(X) | (~beaujolais(X)))) | (q14(chateaumorgonbeaujolais) | (~beaujolais(chateaumorgonbeaujolais)))) <=> ((~![X: $i] : (q14(X) | (~beaujolais(X)))) | q14(chateaumorgonbeaujolais) | (~beaujolais(chateaumorgonbeaujolais)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1420,plain,
% 1.65/1.34 ((~![X: $i] : (q14(X) | (~beaujolais(X)))) | (q14(chateaumorgonbeaujolais) | (~beaujolais(chateaumorgonbeaujolais)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1421,plain,
% 1.65/1.34 ((~![X: $i] : (q14(X) | (~beaujolais(X)))) | q14(chateaumorgonbeaujolais) | (~beaujolais(chateaumorgonbeaujolais))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 1.65/1.34 tff(1422,plain,
% 1.65/1.34 (q14(chateaumorgonbeaujolais)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1421, 1418, 1408])).
% 1.65/1.34 tff(1423,plain,
% 1.65/1.34 (^[X: $i] : refl((gamay(X) | (~q14(X))) <=> (gamay(X) | (~q14(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1424,plain,
% 1.65/1.34 (![X: $i] : (gamay(X) | (~q14(X))) <=> ![X: $i] : (gamay(X) | (~q14(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1423])).
% 1.65/1.34 tff(1425,plain,
% 1.65/1.34 (![X: $i] : (gamay(X) | (~q14(X))) <=> ![X: $i] : (gamay(X) | (~q14(X)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1426,plain,
% 1.65/1.34 (^[X: $i] : rewrite((q14(X) => gamay(X)) <=> (gamay(X) | (~q14(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1427,plain,
% 1.65/1.34 (![X: $i] : (q14(X) => gamay(X)) <=> ![X: $i] : (gamay(X) | (~q14(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1426])).
% 1.65/1.34 tff(1428,axiom,(![X: $i] : (q14(X) => gamay(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula464')).
% 1.65/1.34 tff(1429,plain,
% 1.65/1.34 (![X: $i] : (gamay(X) | (~q14(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 1.65/1.34 tff(1430,plain,
% 1.65/1.34 (![X: $i] : (gamay(X) | (~q14(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1429, 1425])).
% 1.65/1.34 tff(1431,plain,(
% 1.65/1.34 ![X: $i] : (gamay(X) | (~q14(X)))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1430])).
% 1.65/1.34 tff(1432,plain,
% 1.65/1.34 (![X: $i] : (gamay(X) | (~q14(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1431, 1424])).
% 1.65/1.34 tff(1433,plain,
% 1.65/1.34 (((~![X: $i] : (gamay(X) | (~q14(X)))) | (gamay(chateaumorgonbeaujolais) | (~q14(chateaumorgonbeaujolais)))) <=> ((~![X: $i] : (gamay(X) | (~q14(X)))) | gamay(chateaumorgonbeaujolais) | (~q14(chateaumorgonbeaujolais)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1434,plain,
% 1.65/1.34 ((~![X: $i] : (gamay(X) | (~q14(X)))) | (gamay(chateaumorgonbeaujolais) | (~q14(chateaumorgonbeaujolais)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1435,plain,
% 1.65/1.34 ((~![X: $i] : (gamay(X) | (~q14(X)))) | gamay(chateaumorgonbeaujolais) | (~q14(chateaumorgonbeaujolais))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 1.65/1.34 tff(1436,plain,
% 1.65/1.34 (gamay(chateaumorgonbeaujolais)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1435, 1432, 1422])).
% 1.65/1.34 tff(1437,assumption,(![X: $i] : (~gamay(X))), introduced(assumption)).
% 1.65/1.34 tff(1438,plain,
% 1.65/1.34 ((~![X: $i] : (~gamay(X))) | (~gamay(chateaumorgonbeaujolais))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1439,plain,
% 1.65/1.34 ($false),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1438, 1437, 1436])).
% 1.65/1.34 tff(1440,plain,(~![X: $i] : (~gamay(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.34 tff(1441,plain,
% 1.65/1.34 (^[X: $i] : refl((chardonnay(X) | (~chardonnay_aux(X))) <=> (chardonnay(X) | (~chardonnay_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1442,plain,
% 1.65/1.34 (![X: $i] : (chardonnay(X) | (~chardonnay_aux(X))) <=> ![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1441])).
% 1.65/1.34 tff(1443,plain,
% 1.65/1.34 (![X: $i] : (chardonnay(X) | (~chardonnay_aux(X))) <=> ![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1444,plain,
% 1.65/1.34 (^[X: $i] : rewrite((chardonnay_aux(X) => chardonnay(X)) <=> (chardonnay(X) | (~chardonnay_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1445,plain,
% 1.65/1.34 (![X: $i] : (chardonnay_aux(X) => chardonnay(X)) <=> ![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1444])).
% 1.65/1.34 tff(1446,axiom,(![X: $i] : (chardonnay_aux(X) => chardonnay(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula83')).
% 1.65/1.34 tff(1447,plain,
% 1.65/1.34 (![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1446, 1445])).
% 1.65/1.34 tff(1448,plain,
% 1.65/1.34 (![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1447, 1443])).
% 1.65/1.34 tff(1449,plain,(
% 1.65/1.34 ![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1448])).
% 1.65/1.34 tff(1450,plain,
% 1.65/1.34 (![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1449, 1442])).
% 1.65/1.34 tff(1451,plain,
% 1.65/1.34 (chardonnay_aux(formanchardonnay) <=> chardonnay_aux(formanchardonnay)),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1452,axiom,(chardonnay_aux(formanchardonnay)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula424')).
% 1.65/1.34 tff(1453,plain,
% 1.65/1.34 (chardonnay_aux(formanchardonnay)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 1.65/1.34 tff(1454,plain,
% 1.65/1.34 (((~![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))) | (chardonnay(formanchardonnay) | (~chardonnay_aux(formanchardonnay)))) <=> ((~![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))) | chardonnay(formanchardonnay) | (~chardonnay_aux(formanchardonnay)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1455,plain,
% 1.65/1.34 ((~![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))) | (chardonnay(formanchardonnay) | (~chardonnay_aux(formanchardonnay)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1456,plain,
% 1.65/1.34 ((~![X: $i] : (chardonnay(X) | (~chardonnay_aux(X)))) | chardonnay(formanchardonnay) | (~chardonnay_aux(formanchardonnay))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 1.65/1.34 tff(1457,plain,
% 1.65/1.34 (chardonnay(formanchardonnay)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1456, 1453, 1450])).
% 1.65/1.34 tff(1458,plain,
% 1.65/1.34 (^[X: $i] : refl((wine(X) | (~chardonnay(X))) <=> (wine(X) | (~chardonnay(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1459,plain,
% 1.65/1.34 (![X: $i] : (wine(X) | (~chardonnay(X))) <=> ![X: $i] : (wine(X) | (~chardonnay(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1458])).
% 1.65/1.34 tff(1460,plain,
% 1.65/1.34 (![X: $i] : (wine(X) | (~chardonnay(X))) <=> ![X: $i] : (wine(X) | (~chardonnay(X)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1461,plain,
% 1.65/1.34 (^[X: $i] : rewrite((chardonnay(X) => wine(X)) <=> (wine(X) | (~chardonnay(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1462,plain,
% 1.65/1.34 (![X: $i] : (chardonnay(X) => wine(X)) <=> ![X: $i] : (wine(X) | (~chardonnay(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1461])).
% 1.65/1.34 tff(1463,axiom,(![X: $i] : (chardonnay(X) => wine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula640')).
% 1.65/1.34 tff(1464,plain,
% 1.65/1.34 (![X: $i] : (wine(X) | (~chardonnay(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 1.65/1.34 tff(1465,plain,
% 1.65/1.34 (![X: $i] : (wine(X) | (~chardonnay(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1464, 1460])).
% 1.65/1.34 tff(1466,plain,(
% 1.65/1.34 ![X: $i] : (wine(X) | (~chardonnay(X)))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1465])).
% 1.65/1.34 tff(1467,plain,
% 1.65/1.34 (![X: $i] : (wine(X) | (~chardonnay(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1466, 1459])).
% 1.65/1.34 tff(1468,plain,
% 1.65/1.34 (((~![X: $i] : (wine(X) | (~chardonnay(X)))) | (wine(formanchardonnay) | (~chardonnay(formanchardonnay)))) <=> ((~![X: $i] : (wine(X) | (~chardonnay(X)))) | wine(formanchardonnay) | (~chardonnay(formanchardonnay)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1469,plain,
% 1.65/1.34 ((~![X: $i] : (wine(X) | (~chardonnay(X)))) | (wine(formanchardonnay) | (~chardonnay(formanchardonnay)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1470,plain,
% 1.65/1.34 ((~![X: $i] : (wine(X) | (~chardonnay(X)))) | wine(formanchardonnay) | (~chardonnay(formanchardonnay))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1469, 1468])).
% 1.65/1.34 tff(1471,plain,
% 1.65/1.34 (wine(formanchardonnay)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1470, 1467, 1457])).
% 1.65/1.34 tff(1472,plain,
% 1.65/1.34 (^[X: $i] : refl((ot____nom45(X) | (~ot____nom45_aux(X))) <=> (ot____nom45(X) | (~ot____nom45_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1473,plain,
% 1.65/1.34 (![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X))) <=> ![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1472])).
% 1.65/1.34 tff(1474,plain,
% 1.65/1.34 (![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X))) <=> ![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1475,plain,
% 1.65/1.34 (^[X: $i] : rewrite((ot____nom45_aux(X) => ot____nom45(X)) <=> (ot____nom45(X) | (~ot____nom45_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1476,plain,
% 1.65/1.34 (![X: $i] : (ot____nom45_aux(X) => ot____nom45(X)) <=> ![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1475])).
% 1.65/1.34 tff(1477,axiom,(![X: $i] : (ot____nom45_aux(X) => ot____nom45(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula49')).
% 1.65/1.34 tff(1478,plain,
% 1.65/1.34 (![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1477, 1476])).
% 1.65/1.34 tff(1479,plain,
% 1.65/1.34 (![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1478, 1474])).
% 1.65/1.34 tff(1480,plain,(
% 1.65/1.34 ![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1479])).
% 1.65/1.34 tff(1481,plain,
% 1.65/1.34 (![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1480, 1473])).
% 1.65/1.34 tff(1482,plain,
% 1.65/1.34 (ot____nom45_aux(full) <=> ot____nom45_aux(full)),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1483,axiom,(ot____nom45_aux(full)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula290')).
% 1.65/1.34 tff(1484,plain,
% 1.65/1.34 (ot____nom45_aux(full)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 1.65/1.34 tff(1485,plain,
% 1.65/1.34 (((~![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))) | (ot____nom45(full) | (~ot____nom45_aux(full)))) <=> ((~![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))) | ot____nom45(full) | (~ot____nom45_aux(full)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1486,plain,
% 1.65/1.34 ((~![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))) | (ot____nom45(full) | (~ot____nom45_aux(full)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1487,plain,
% 1.65/1.34 ((~![X: $i] : (ot____nom45(X) | (~ot____nom45_aux(X)))) | ot____nom45(full) | (~ot____nom45_aux(full))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1486, 1485])).
% 1.65/1.34 tff(1488,plain,
% 1.65/1.34 (ot____nom45(full)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1487, 1484, 1481])).
% 1.65/1.34 tff(1489,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : refl(((~hasbody_aux(X, Y)) | hasbody(X, Y)) <=> ((~hasbody_aux(X, Y)) | hasbody(X, Y)))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1490,plain,
% 1.65/1.34 (![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y)) <=> ![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1489])).
% 1.65/1.34 tff(1491,plain,
% 1.65/1.34 (![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y)) <=> ![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1492,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : rewrite((hasbody_aux(X, Y) => hasbody(X, Y)) <=> ((~hasbody_aux(X, Y)) | hasbody(X, Y)))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1493,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (hasbody_aux(X, Y) => hasbody(X, Y)) <=> ![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1492])).
% 1.65/1.34 tff(1494,axiom,(![X: $i, Y: $i] : (hasbody_aux(X, Y) => hasbody(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula7')).
% 1.65/1.34 tff(1495,plain,
% 1.65/1.34 (![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 1.65/1.34 tff(1496,plain,
% 1.65/1.34 (![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1495, 1491])).
% 1.65/1.34 tff(1497,plain,(
% 1.65/1.34 ![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1496])).
% 1.65/1.34 tff(1498,plain,
% 1.65/1.34 (![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1497, 1490])).
% 1.65/1.34 tff(1499,plain,
% 1.65/1.34 (hasbody_aux(formanchardonnay, full) <=> hasbody_aux(formanchardonnay, full)),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1500,axiom,(hasbody_aux(formanchardonnay, full)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula2')).
% 1.65/1.34 tff(1501,plain,
% 1.65/1.34 (hasbody_aux(formanchardonnay, full)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 1.65/1.34 tff(1502,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | ((~hasbody_aux(formanchardonnay, full)) | hasbody(formanchardonnay, full))) <=> ((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | (~hasbody_aux(formanchardonnay, full)) | hasbody(formanchardonnay, full))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1503,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | ((~hasbody_aux(formanchardonnay, full)) | hasbody(formanchardonnay, full))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1504,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | (~hasbody_aux(formanchardonnay, full)) | hasbody(formanchardonnay, full)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 1.65/1.34 tff(1505,plain,
% 1.65/1.34 (hasbody(formanchardonnay, full)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1504, 1501, 1498])).
% 1.65/1.34 tff(1506,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : refl((fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y))) <=> (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1507,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y))) <=> ![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1506])).
% 1.65/1.34 tff(1508,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((wine(X) & hasbody(X, Y) & ot____nom45(Y)) <=> (~((~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y))))), ((~(wine(X) & hasbody(X, Y) & ot____nom45(Y))) <=> (~(~((~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y))))))), rewrite((~(~((~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y))))) <=> ((~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))), ((~(wine(X) & hasbody(X, Y) & ot____nom45(Y))) <=> ((~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y))))), ((fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y)))) <=> (fullbodiedwine(X) | ((~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))))), rewrite((fullbodiedwine(X) | ((~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) <=> (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))), ((fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y)))) <=> (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1509,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y)))) <=> ![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1508])).
% 1.65/1.34 tff(1510,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y)))) <=> ![X: $i, Y: $i] : (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y))))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1511,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : trans(monotonicity(rewrite(((wine(X) & hasbody(X, Y)) & ot____nom45(Y)) <=> (wine(X) & hasbody(X, Y) & ot____nom45(Y))), ((((wine(X) & hasbody(X, Y)) & ot____nom45(Y)) => fullbodiedwine(X)) <=> ((wine(X) & hasbody(X, Y) & ot____nom45(Y)) => fullbodiedwine(X)))), rewrite(((wine(X) & hasbody(X, Y) & ot____nom45(Y)) => fullbodiedwine(X)) <=> (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y))))), ((((wine(X) & hasbody(X, Y)) & ot____nom45(Y)) => fullbodiedwine(X)) <=> (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y))))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1512,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (((wine(X) & hasbody(X, Y)) & ot____nom45(Y)) => fullbodiedwine(X)) <=> ![X: $i, Y: $i] : (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y))))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1511])).
% 1.65/1.34 tff(1513,axiom,(![X: $i, Y: $i] : (((wine(X) & hasbody(X, Y)) & ot____nom45(Y)) => fullbodiedwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula463')).
% 1.65/1.34 tff(1514,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 1.65/1.34 tff(1515,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1514, 1510])).
% 1.65/1.34 tff(1516,plain,(
% 1.65/1.34 ![X: $i, Y: $i] : (fullbodiedwine(X) | (~(wine(X) & hasbody(X, Y) & ot____nom45(Y))))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1515])).
% 1.65/1.34 tff(1517,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1516, 1509])).
% 1.65/1.34 tff(1518,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1517, 1507])).
% 1.65/1.34 tff(1519,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | ((~wine(formanchardonnay)) | (~hasbody(formanchardonnay, full)) | fullbodiedwine(formanchardonnay) | (~ot____nom45(full)))) <=> ((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | (~wine(formanchardonnay)) | (~hasbody(formanchardonnay, full)) | fullbodiedwine(formanchardonnay) | (~ot____nom45(full)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1520,plain,
% 1.65/1.34 ((fullbodiedwine(formanchardonnay) | (~hasbody(formanchardonnay, full)) | (~wine(formanchardonnay)) | (~ot____nom45(full))) <=> ((~wine(formanchardonnay)) | (~hasbody(formanchardonnay, full)) | fullbodiedwine(formanchardonnay) | (~ot____nom45(full)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1521,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | (fullbodiedwine(formanchardonnay) | (~hasbody(formanchardonnay, full)) | (~wine(formanchardonnay)) | (~ot____nom45(full)))) <=> ((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | ((~wine(formanchardonnay)) | (~hasbody(formanchardonnay, full)) | fullbodiedwine(formanchardonnay) | (~ot____nom45(full))))),
% 1.65/1.34 inference(monotonicity,[status(thm)],[1520])).
% 1.65/1.34 tff(1522,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | (fullbodiedwine(formanchardonnay) | (~hasbody(formanchardonnay, full)) | (~wine(formanchardonnay)) | (~ot____nom45(full)))) <=> ((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | (~wine(formanchardonnay)) | (~hasbody(formanchardonnay, full)) | fullbodiedwine(formanchardonnay) | (~ot____nom45(full)))),
% 1.65/1.34 inference(transitivity,[status(thm)],[1521, 1519])).
% 1.65/1.34 tff(1523,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | (fullbodiedwine(formanchardonnay) | (~hasbody(formanchardonnay, full)) | (~wine(formanchardonnay)) | (~ot____nom45(full)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1524,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : (fullbodiedwine(X) | (~hasbody(X, Y)) | (~wine(X)) | (~ot____nom45(Y)))) | (~wine(formanchardonnay)) | (~hasbody(formanchardonnay, full)) | fullbodiedwine(formanchardonnay) | (~ot____nom45(full))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 1.65/1.34 tff(1525,plain,
% 1.65/1.34 ((~wine(formanchardonnay)) | fullbodiedwine(formanchardonnay)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1524, 1518, 1505, 1488])).
% 1.65/1.34 tff(1526,plain,
% 1.65/1.34 (fullbodiedwine(formanchardonnay)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1525, 1471])).
% 1.65/1.34 tff(1527,assumption,(![X: $i] : (~fullbodiedwine(X))), introduced(assumption)).
% 1.65/1.34 tff(1528,plain,
% 1.65/1.34 ((~![X: $i] : (~fullbodiedwine(X))) | (~fullbodiedwine(formanchardonnay))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1529,plain,
% 1.65/1.34 ($false),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1528, 1527, 1526])).
% 1.65/1.34 tff(1530,plain,(~![X: $i] : (~fullbodiedwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.34 tff(1531,plain,
% 1.65/1.34 (^[X: $i] : refl((ot____nom12(X) | (~ot____nom12_aux(X))) <=> (ot____nom12(X) | (~ot____nom12_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1532,plain,
% 1.65/1.34 (![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X))) <=> ![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1531])).
% 1.65/1.34 tff(1533,plain,
% 1.65/1.34 (![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X))) <=> ![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1534,plain,
% 1.65/1.34 (^[X: $i] : rewrite((ot____nom12_aux(X) => ot____nom12(X)) <=> (ot____nom12(X) | (~ot____nom12_aux(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1535,plain,
% 1.65/1.34 (![X: $i] : (ot____nom12_aux(X) => ot____nom12(X)) <=> ![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1534])).
% 1.65/1.34 tff(1536,axiom,(![X: $i] : (ot____nom12_aux(X) => ot____nom12(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula13')).
% 1.65/1.34 tff(1537,plain,
% 1.65/1.34 (![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 1.65/1.34 tff(1538,plain,
% 1.65/1.34 (![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1537, 1533])).
% 1.65/1.34 tff(1539,plain,(
% 1.65/1.34 ![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1538])).
% 1.65/1.34 tff(1540,plain,
% 1.65/1.34 (![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1539, 1532])).
% 1.65/1.34 tff(1541,plain,
% 1.65/1.34 (ot____nom12_aux(dry) <=> ot____nom12_aux(dry)),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1542,axiom,(ot____nom12_aux(dry)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula248')).
% 1.65/1.34 tff(1543,plain,
% 1.65/1.34 (ot____nom12_aux(dry)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 1.65/1.34 tff(1544,plain,
% 1.65/1.34 (((~![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))) | (ot____nom12(dry) | (~ot____nom12_aux(dry)))) <=> ((~![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))) | ot____nom12(dry) | (~ot____nom12_aux(dry)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1545,plain,
% 1.65/1.34 ((~![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))) | (ot____nom12(dry) | (~ot____nom12_aux(dry)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1546,plain,
% 1.65/1.34 ((~![X: $i] : (ot____nom12(X) | (~ot____nom12_aux(X)))) | ot____nom12(dry) | (~ot____nom12_aux(dry))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 1.65/1.34 tff(1547,plain,
% 1.65/1.34 (ot____nom12(dry)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1546, 1543, 1540])).
% 1.65/1.34 tff(1548,plain,
% 1.65/1.34 (hassugar_aux(stgenevievetexaswhite, dry) <=> hassugar_aux(stgenevievetexaswhite, dry)),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1549,axiom,(hassugar_aux(stgenevievetexaswhite, dry)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula140')).
% 1.65/1.34 tff(1550,plain,
% 1.65/1.34 (hassugar_aux(stgenevievetexaswhite, dry)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 1.65/1.34 tff(1551,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(stgenevievetexaswhite, dry)) | hassugar(stgenevievetexaswhite, dry))) <=> ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(stgenevievetexaswhite, dry)) | hassugar(stgenevievetexaswhite, dry))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1552,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(stgenevievetexaswhite, dry)) | hassugar(stgenevievetexaswhite, dry))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1553,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(stgenevievetexaswhite, dry)) | hassugar(stgenevievetexaswhite, dry)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 1.65/1.34 tff(1554,plain,
% 1.65/1.34 (hassugar(stgenevievetexaswhite, dry)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1553, 1550, 136])).
% 1.65/1.34 tff(1555,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : refl((q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y))) <=> (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1556,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y))) <=> ![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1555])).
% 1.65/1.34 tff(1557,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((hassugar(X, Y) & ot____nom12(Y)) <=> (~((~hassugar(X, Y)) | (~ot____nom12(Y))))), ((~(hassugar(X, Y) & ot____nom12(Y))) <=> (~(~((~hassugar(X, Y)) | (~ot____nom12(Y))))))), rewrite((~(~((~hassugar(X, Y)) | (~ot____nom12(Y))))) <=> ((~hassugar(X, Y)) | (~ot____nom12(Y)))), ((~(hassugar(X, Y) & ot____nom12(Y))) <=> ((~hassugar(X, Y)) | (~ot____nom12(Y))))), ((q46(X) | (~(hassugar(X, Y) & ot____nom12(Y)))) <=> (q46(X) | ((~hassugar(X, Y)) | (~ot____nom12(Y)))))), rewrite((q46(X) | ((~hassugar(X, Y)) | (~ot____nom12(Y)))) <=> (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))), ((q46(X) | (~(hassugar(X, Y) & ot____nom12(Y)))) <=> (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1558,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y)))) <=> ![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1557])).
% 1.65/1.34 tff(1559,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y)))) <=> ![X: $i, Y: $i] : (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y))))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1560,plain,
% 1.65/1.34 (^[X: $i, Y: $i] : rewrite(((hassugar(X, Y) & ot____nom12(Y)) => q46(X)) <=> (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1561,plain,
% 1.65/1.34 (![X: $i, Y: $i] : ((hassugar(X, Y) & ot____nom12(Y)) => q46(X)) <=> ![X: $i, Y: $i] : (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y))))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1560])).
% 1.65/1.34 tff(1562,axiom,(![X: $i, Y: $i] : ((hassugar(X, Y) & ot____nom12(Y)) => q46(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula294')).
% 1.65/1.34 tff(1563,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 1.65/1.34 tff(1564,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1563, 1559])).
% 1.65/1.34 tff(1565,plain,(
% 1.65/1.34 ![X: $i, Y: $i] : (q46(X) | (~(hassugar(X, Y) & ot____nom12(Y))))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1564])).
% 1.65/1.34 tff(1566,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1565, 1558])).
% 1.65/1.34 tff(1567,plain,
% 1.65/1.34 (![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1566, 1556])).
% 1.65/1.34 tff(1568,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | ((~ot____nom12(dry)) | (~hassugar(stgenevievetexaswhite, dry)) | q46(stgenevievetexaswhite))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(stgenevievetexaswhite, dry)) | q46(stgenevievetexaswhite))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1569,plain,
% 1.65/1.34 ((q46(stgenevievetexaswhite) | (~hassugar(stgenevievetexaswhite, dry)) | (~ot____nom12(dry))) <=> ((~ot____nom12(dry)) | (~hassugar(stgenevievetexaswhite, dry)) | q46(stgenevievetexaswhite))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1570,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(stgenevievetexaswhite) | (~hassugar(stgenevievetexaswhite, dry)) | (~ot____nom12(dry)))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | ((~ot____nom12(dry)) | (~hassugar(stgenevievetexaswhite, dry)) | q46(stgenevievetexaswhite)))),
% 1.65/1.34 inference(monotonicity,[status(thm)],[1569])).
% 1.65/1.34 tff(1571,plain,
% 1.65/1.34 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(stgenevievetexaswhite) | (~hassugar(stgenevievetexaswhite, dry)) | (~ot____nom12(dry)))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(stgenevievetexaswhite, dry)) | q46(stgenevievetexaswhite))),
% 1.65/1.34 inference(transitivity,[status(thm)],[1570, 1568])).
% 1.65/1.34 tff(1572,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(stgenevievetexaswhite) | (~hassugar(stgenevievetexaswhite, dry)) | (~ot____nom12(dry)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1573,plain,
% 1.65/1.34 ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(stgenevievetexaswhite, dry)) | q46(stgenevievetexaswhite)),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 1.65/1.34 tff(1574,plain,
% 1.65/1.34 (q46(stgenevievetexaswhite)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1573, 1567, 1554, 1547])).
% 1.65/1.34 tff(1575,plain,
% 1.65/1.34 (^[X: $i] : refl((drywine(X) | (~wine(X)) | (~q46(X))) <=> (drywine(X) | (~wine(X)) | (~q46(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1576,plain,
% 1.65/1.34 (![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X))) <=> ![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1575])).
% 1.65/1.34 tff(1577,plain,
% 1.65/1.34 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q46(X) & wine(X)) <=> (~((~q46(X)) | (~wine(X))))), ((~(q46(X) & wine(X))) <=> (~(~((~q46(X)) | (~wine(X))))))), rewrite((~(~((~q46(X)) | (~wine(X))))) <=> ((~q46(X)) | (~wine(X)))), ((~(q46(X) & wine(X))) <=> ((~q46(X)) | (~wine(X))))), ((drywine(X) | (~(q46(X) & wine(X)))) <=> (drywine(X) | ((~q46(X)) | (~wine(X)))))), rewrite((drywine(X) | ((~q46(X)) | (~wine(X)))) <=> (drywine(X) | (~wine(X)) | (~q46(X)))), ((drywine(X) | (~(q46(X) & wine(X)))) <=> (drywine(X) | (~wine(X)) | (~q46(X)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1578,plain,
% 1.65/1.34 (![X: $i] : (drywine(X) | (~(q46(X) & wine(X)))) <=> ![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1577])).
% 1.65/1.34 tff(1579,plain,
% 1.65/1.34 (![X: $i] : (drywine(X) | (~(q46(X) & wine(X)))) <=> ![X: $i] : (drywine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1580,plain,
% 1.65/1.34 (^[X: $i] : rewrite(((q46(X) & wine(X)) => drywine(X)) <=> (drywine(X) | (~(q46(X) & wine(X)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1581,plain,
% 1.65/1.34 (![X: $i] : ((q46(X) & wine(X)) => drywine(X)) <=> ![X: $i] : (drywine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1580])).
% 1.65/1.34 tff(1582,axiom,(![X: $i] : ((q46(X) & wine(X)) => drywine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula456')).
% 1.65/1.34 tff(1583,plain,
% 1.65/1.34 (![X: $i] : (drywine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 1.65/1.34 tff(1584,plain,
% 1.65/1.34 (![X: $i] : (drywine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1583, 1579])).
% 1.65/1.34 tff(1585,plain,(
% 1.65/1.34 ![X: $i] : (drywine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1584])).
% 1.65/1.34 tff(1586,plain,
% 1.65/1.34 (![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1585, 1578])).
% 1.65/1.34 tff(1587,plain,
% 1.65/1.34 (![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1586, 1576])).
% 1.65/1.34 tff(1588,plain,
% 1.65/1.34 (((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | ((~wine(stgenevievetexaswhite)) | drywine(stgenevievetexaswhite) | (~q46(stgenevievetexaswhite)))) <=> ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (~wine(stgenevievetexaswhite)) | drywine(stgenevievetexaswhite) | (~q46(stgenevievetexaswhite)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1589,plain,
% 1.65/1.34 ((drywine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q46(stgenevievetexaswhite))) <=> ((~wine(stgenevievetexaswhite)) | drywine(stgenevievetexaswhite) | (~q46(stgenevievetexaswhite)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1590,plain,
% 1.65/1.34 (((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (drywine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q46(stgenevievetexaswhite)))) <=> ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | ((~wine(stgenevievetexaswhite)) | drywine(stgenevievetexaswhite) | (~q46(stgenevievetexaswhite))))),
% 1.65/1.34 inference(monotonicity,[status(thm)],[1589])).
% 1.65/1.34 tff(1591,plain,
% 1.65/1.34 (((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (drywine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q46(stgenevievetexaswhite)))) <=> ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (~wine(stgenevievetexaswhite)) | drywine(stgenevievetexaswhite) | (~q46(stgenevievetexaswhite)))),
% 1.65/1.34 inference(transitivity,[status(thm)],[1590, 1588])).
% 1.65/1.34 tff(1592,plain,
% 1.65/1.34 ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (drywine(stgenevievetexaswhite) | (~wine(stgenevievetexaswhite)) | (~q46(stgenevievetexaswhite)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1593,plain,
% 1.65/1.34 ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (~wine(stgenevievetexaswhite)) | drywine(stgenevievetexaswhite) | (~q46(stgenevievetexaswhite))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1592, 1591])).
% 1.65/1.34 tff(1594,plain,
% 1.65/1.34 (drywine(stgenevievetexaswhite)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1593, 1587, 500, 1574])).
% 1.65/1.34 tff(1595,assumption,(![X: $i] : (~drywine(X))), introduced(assumption)).
% 1.65/1.34 tff(1596,plain,
% 1.65/1.34 ((~![X: $i] : (~drywine(X))) | (~drywine(stgenevievetexaswhite))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1597,plain,
% 1.65/1.34 ($false),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1596, 1595, 1594])).
% 1.65/1.34 tff(1598,plain,(~![X: $i] : (~drywine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.34 tff(1599,plain,
% 1.65/1.34 (^[X: $i] : refl((drywhitewine(X) | (~whitewine(X)) | (~drywine(X))) <=> (drywhitewine(X) | (~whitewine(X)) | (~drywine(X))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1600,plain,
% 1.65/1.34 (![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X))) <=> ![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1599])).
% 1.65/1.34 tff(1601,plain,
% 1.65/1.34 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((drywine(X) & whitewine(X)) <=> (~((~drywine(X)) | (~whitewine(X))))), ((~(drywine(X) & whitewine(X))) <=> (~(~((~drywine(X)) | (~whitewine(X))))))), rewrite((~(~((~drywine(X)) | (~whitewine(X))))) <=> ((~drywine(X)) | (~whitewine(X)))), ((~(drywine(X) & whitewine(X))) <=> ((~drywine(X)) | (~whitewine(X))))), ((drywhitewine(X) | (~(drywine(X) & whitewine(X)))) <=> (drywhitewine(X) | ((~drywine(X)) | (~whitewine(X)))))), rewrite((drywhitewine(X) | ((~drywine(X)) | (~whitewine(X)))) <=> (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))), ((drywhitewine(X) | (~(drywine(X) & whitewine(X)))) <=> (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1602,plain,
% 1.65/1.34 (![X: $i] : (drywhitewine(X) | (~(drywine(X) & whitewine(X)))) <=> ![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1601])).
% 1.65/1.34 tff(1603,plain,
% 1.65/1.34 (![X: $i] : (drywhitewine(X) | (~(drywine(X) & whitewine(X)))) <=> ![X: $i] : (drywhitewine(X) | (~(drywine(X) & whitewine(X))))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1604,plain,
% 1.65/1.34 (^[X: $i] : rewrite(((drywine(X) & whitewine(X)) => drywhitewine(X)) <=> (drywhitewine(X) | (~(drywine(X) & whitewine(X)))))),
% 1.65/1.34 inference(bind,[status(th)],[])).
% 1.65/1.34 tff(1605,plain,
% 1.65/1.34 (![X: $i] : ((drywine(X) & whitewine(X)) => drywhitewine(X)) <=> ![X: $i] : (drywhitewine(X) | (~(drywine(X) & whitewine(X))))),
% 1.65/1.34 inference(quant_intro,[status(thm)],[1604])).
% 1.65/1.34 tff(1606,axiom,(![X: $i] : ((drywine(X) & whitewine(X)) => drywhitewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula452')).
% 1.65/1.34 tff(1607,plain,
% 1.65/1.34 (![X: $i] : (drywhitewine(X) | (~(drywine(X) & whitewine(X))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 1.65/1.34 tff(1608,plain,
% 1.65/1.34 (![X: $i] : (drywhitewine(X) | (~(drywine(X) & whitewine(X))))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1607, 1603])).
% 1.65/1.34 tff(1609,plain,(
% 1.65/1.34 ![X: $i] : (drywhitewine(X) | (~(drywine(X) & whitewine(X))))),
% 1.65/1.34 inference(skolemize,[status(sab)],[1608])).
% 1.65/1.34 tff(1610,plain,
% 1.65/1.34 (![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1609, 1602])).
% 1.65/1.34 tff(1611,plain,
% 1.65/1.34 (![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1610, 1600])).
% 1.65/1.34 tff(1612,plain,
% 1.65/1.34 (((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | ((~whitewine(stgenevievetexaswhite)) | drywhitewine(stgenevievetexaswhite) | (~drywine(stgenevievetexaswhite)))) <=> ((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | (~whitewine(stgenevievetexaswhite)) | drywhitewine(stgenevievetexaswhite) | (~drywine(stgenevievetexaswhite)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1613,plain,
% 1.65/1.34 ((drywhitewine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite)) | (~drywine(stgenevievetexaswhite))) <=> ((~whitewine(stgenevievetexaswhite)) | drywhitewine(stgenevievetexaswhite) | (~drywine(stgenevievetexaswhite)))),
% 1.65/1.34 inference(rewrite,[status(thm)],[])).
% 1.65/1.34 tff(1614,plain,
% 1.65/1.34 (((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | (drywhitewine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite)) | (~drywine(stgenevievetexaswhite)))) <=> ((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | ((~whitewine(stgenevievetexaswhite)) | drywhitewine(stgenevievetexaswhite) | (~drywine(stgenevievetexaswhite))))),
% 1.65/1.34 inference(monotonicity,[status(thm)],[1613])).
% 1.65/1.34 tff(1615,plain,
% 1.65/1.34 (((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | (drywhitewine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite)) | (~drywine(stgenevievetexaswhite)))) <=> ((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | (~whitewine(stgenevievetexaswhite)) | drywhitewine(stgenevievetexaswhite) | (~drywine(stgenevievetexaswhite)))),
% 1.65/1.34 inference(transitivity,[status(thm)],[1614, 1612])).
% 1.65/1.34 tff(1616,plain,
% 1.65/1.34 ((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | (drywhitewine(stgenevievetexaswhite) | (~whitewine(stgenevievetexaswhite)) | (~drywine(stgenevievetexaswhite)))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.34 tff(1617,plain,
% 1.65/1.34 ((~![X: $i] : (drywhitewine(X) | (~whitewine(X)) | (~drywine(X)))) | (~whitewine(stgenevievetexaswhite)) | drywhitewine(stgenevievetexaswhite) | (~drywine(stgenevievetexaswhite))),
% 1.65/1.34 inference(modus_ponens,[status(thm)],[1616, 1615])).
% 1.65/1.34 tff(1618,plain,
% 1.65/1.34 (drywhitewine(stgenevievetexaswhite) | (~drywine(stgenevievetexaswhite))),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1617, 1611, 486])).
% 1.65/1.34 tff(1619,plain,
% 1.65/1.34 (drywhitewine(stgenevievetexaswhite)),
% 1.65/1.34 inference(unit_resolution,[status(thm)],[1618, 1594])).
% 1.65/1.34 tff(1620,assumption,(![X: $i] : (~drywhitewine(X))), introduced(assumption)).
% 1.65/1.34 tff(1621,plain,
% 1.65/1.34 ((~![X: $i] : (~drywhitewine(X))) | (~drywhitewine(stgenevievetexaswhite))),
% 1.65/1.34 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1622,plain,
% 1.65/1.35 ($false),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1621, 1620, 1619])).
% 1.65/1.35 tff(1623,plain,(~![X: $i] : (~drywhitewine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.35 tff(1624,plain,
% 1.65/1.35 (^[X: $i] : refl((winery(X) | (~winery_aux(X))) <=> (winery(X) | (~winery_aux(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1625,plain,
% 1.65/1.35 (![X: $i] : (winery(X) | (~winery_aux(X))) <=> ![X: $i] : (winery(X) | (~winery_aux(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1624])).
% 1.65/1.35 tff(1626,plain,
% 1.65/1.35 (![X: $i] : (winery(X) | (~winery_aux(X))) <=> ![X: $i] : (winery(X) | (~winery_aux(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1627,plain,
% 1.65/1.35 (^[X: $i] : rewrite((winery_aux(X) => winery(X)) <=> (winery(X) | (~winery_aux(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1628,plain,
% 1.65/1.35 (![X: $i] : (winery_aux(X) => winery(X)) <=> ![X: $i] : (winery(X) | (~winery_aux(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1627])).
% 1.65/1.35 tff(1629,axiom,(![X: $i] : (winery_aux(X) => winery(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula75')).
% 1.65/1.35 tff(1630,plain,
% 1.65/1.35 (![X: $i] : (winery(X) | (~winery_aux(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 1.65/1.35 tff(1631,plain,
% 1.65/1.35 (![X: $i] : (winery(X) | (~winery_aux(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1630, 1626])).
% 1.65/1.35 tff(1632,plain,(
% 1.65/1.35 ![X: $i] : (winery(X) | (~winery_aux(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1631])).
% 1.65/1.35 tff(1633,plain,
% 1.65/1.35 (![X: $i] : (winery(X) | (~winery_aux(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1632, 1625])).
% 1.65/1.35 tff(1634,plain,
% 1.65/1.35 (winery_aux(seanthackrey) <=> winery_aux(seanthackrey)),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1635,axiom,(winery_aux(seanthackrey)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula353')).
% 1.65/1.35 tff(1636,plain,
% 1.65/1.35 (winery_aux(seanthackrey)),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1635, 1634])).
% 1.65/1.35 tff(1637,plain,
% 1.65/1.35 (((~![X: $i] : (winery(X) | (~winery_aux(X)))) | (winery(seanthackrey) | (~winery_aux(seanthackrey)))) <=> ((~![X: $i] : (winery(X) | (~winery_aux(X)))) | winery(seanthackrey) | (~winery_aux(seanthackrey)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1638,plain,
% 1.65/1.35 ((~![X: $i] : (winery(X) | (~winery_aux(X)))) | (winery(seanthackrey) | (~winery_aux(seanthackrey)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1639,plain,
% 1.65/1.35 ((~![X: $i] : (winery(X) | (~winery_aux(X)))) | winery(seanthackrey) | (~winery_aux(seanthackrey))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 1.65/1.35 tff(1640,plain,
% 1.65/1.35 (winery(seanthackrey)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1639, 1636, 1633])).
% 1.65/1.35 tff(1641,assumption,(![X: $i] : (~winery(X))), introduced(assumption)).
% 1.65/1.35 tff(1642,plain,
% 1.65/1.35 ((~![X: $i] : (~winery(X))) | (~winery(seanthackrey))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1643,plain,
% 1.65/1.35 ($false),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1642, 1641, 1640])).
% 1.65/1.35 tff(1644,plain,(~![X: $i] : (~winery(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.35 tff(1645,plain,
% 1.65/1.35 (^[X: $i] : refl((q12(X) | (~sauternes(X))) <=> (q12(X) | (~sauternes(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1646,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~sauternes(X))) <=> ![X: $i] : (q12(X) | (~sauternes(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1645])).
% 1.65/1.35 tff(1647,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~sauternes(X))) <=> ![X: $i] : (q12(X) | (~sauternes(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1648,plain,
% 1.65/1.35 (^[X: $i] : rewrite((sauternes(X) => q12(X)) <=> (q12(X) | (~sauternes(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1649,plain,
% 1.65/1.35 (![X: $i] : (sauternes(X) => q12(X)) <=> ![X: $i] : (q12(X) | (~sauternes(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1648])).
% 1.65/1.35 tff(1650,axiom,(![X: $i] : (sauternes(X) => q12(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula144')).
% 1.65/1.35 tff(1651,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~sauternes(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 1.65/1.35 tff(1652,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~sauternes(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1651, 1647])).
% 1.65/1.35 tff(1653,plain,(
% 1.65/1.35 ![X: $i] : (q12(X) | (~sauternes(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1652])).
% 1.65/1.35 tff(1654,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~sauternes(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1653, 1646])).
% 1.65/1.35 tff(1655,plain,
% 1.65/1.35 (((~![X: $i] : (q12(X) | (~sauternes(X)))) | (q12(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))) <=> ((~![X: $i] : (q12(X) | (~sauternes(X)))) | q12(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1656,plain,
% 1.65/1.35 ((~![X: $i] : (q12(X) | (~sauternes(X)))) | (q12(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1657,plain,
% 1.65/1.35 ((~![X: $i] : (q12(X) | (~sauternes(X)))) | q12(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 1.65/1.35 tff(1658,plain,
% 1.65/1.35 (q12(chateaudychemsauterne)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1657, 1654, 234])).
% 1.65/1.35 tff(1659,plain,
% 1.65/1.35 (^[X: $i] : refl((q21(X) | (~q12(X))) <=> (q21(X) | (~q12(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1660,plain,
% 1.65/1.35 (![X: $i] : (q21(X) | (~q12(X))) <=> ![X: $i] : (q21(X) | (~q12(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1659])).
% 1.65/1.35 tff(1661,plain,
% 1.65/1.35 (![X: $i] : (q21(X) | (~q12(X))) <=> ![X: $i] : (q21(X) | (~q12(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1662,plain,
% 1.65/1.35 (^[X: $i] : rewrite((q12(X) => q21(X)) <=> (q21(X) | (~q12(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1663,plain,
% 1.65/1.35 (![X: $i] : (q12(X) => q21(X)) <=> ![X: $i] : (q21(X) | (~q12(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1662])).
% 1.65/1.35 tff(1664,axiom,(![X: $i] : (q12(X) => q21(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula179')).
% 1.65/1.35 tff(1665,plain,
% 1.65/1.35 (![X: $i] : (q21(X) | (~q12(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1664, 1663])).
% 1.65/1.35 tff(1666,plain,
% 1.65/1.35 (![X: $i] : (q21(X) | (~q12(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1665, 1661])).
% 1.65/1.35 tff(1667,plain,(
% 1.65/1.35 ![X: $i] : (q21(X) | (~q12(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1666])).
% 1.65/1.35 tff(1668,plain,
% 1.65/1.35 (![X: $i] : (q21(X) | (~q12(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1667, 1660])).
% 1.65/1.35 tff(1669,plain,
% 1.65/1.35 (((~![X: $i] : (q21(X) | (~q12(X)))) | (q21(chateaudychemsauterne) | (~q12(chateaudychemsauterne)))) <=> ((~![X: $i] : (q21(X) | (~q12(X)))) | q21(chateaudychemsauterne) | (~q12(chateaudychemsauterne)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1670,plain,
% 1.65/1.35 ((~![X: $i] : (q21(X) | (~q12(X)))) | (q21(chateaudychemsauterne) | (~q12(chateaudychemsauterne)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1671,plain,
% 1.65/1.35 ((~![X: $i] : (q21(X) | (~q12(X)))) | q21(chateaudychemsauterne) | (~q12(chateaudychemsauterne))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 1.65/1.35 tff(1672,plain,
% 1.65/1.35 (q21(chateaudychemsauterne)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1671, 1668, 1658])).
% 1.65/1.35 tff(1673,plain,
% 1.65/1.35 (^[X: $i] : refl((whitewine(X) | (~wine(X)) | (~q21(X))) <=> (whitewine(X) | (~wine(X)) | (~q21(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1674,plain,
% 1.65/1.35 (![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X))) <=> ![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1673])).
% 1.65/1.35 tff(1675,plain,
% 1.65/1.35 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q21(X) & wine(X)) <=> (~((~q21(X)) | (~wine(X))))), ((~(q21(X) & wine(X))) <=> (~(~((~q21(X)) | (~wine(X))))))), rewrite((~(~((~q21(X)) | (~wine(X))))) <=> ((~q21(X)) | (~wine(X)))), ((~(q21(X) & wine(X))) <=> ((~q21(X)) | (~wine(X))))), ((whitewine(X) | (~(q21(X) & wine(X)))) <=> (whitewine(X) | ((~q21(X)) | (~wine(X)))))), rewrite((whitewine(X) | ((~q21(X)) | (~wine(X)))) <=> (whitewine(X) | (~wine(X)) | (~q21(X)))), ((whitewine(X) | (~(q21(X) & wine(X)))) <=> (whitewine(X) | (~wine(X)) | (~q21(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1676,plain,
% 1.65/1.35 (![X: $i] : (whitewine(X) | (~(q21(X) & wine(X)))) <=> ![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1675])).
% 1.65/1.35 tff(1677,plain,
% 1.65/1.35 (![X: $i] : (whitewine(X) | (~(q21(X) & wine(X)))) <=> ![X: $i] : (whitewine(X) | (~(q21(X) & wine(X))))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1678,plain,
% 1.65/1.35 (^[X: $i] : rewrite(((q21(X) & wine(X)) => whitewine(X)) <=> (whitewine(X) | (~(q21(X) & wine(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1679,plain,
% 1.65/1.35 (![X: $i] : ((q21(X) & wine(X)) => whitewine(X)) <=> ![X: $i] : (whitewine(X) | (~(q21(X) & wine(X))))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1678])).
% 1.65/1.35 tff(1680,axiom,(![X: $i] : ((q21(X) & wine(X)) => whitewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula588')).
% 1.65/1.35 tff(1681,plain,
% 1.65/1.35 (![X: $i] : (whitewine(X) | (~(q21(X) & wine(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 1.65/1.35 tff(1682,plain,
% 1.65/1.35 (![X: $i] : (whitewine(X) | (~(q21(X) & wine(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1681, 1677])).
% 1.65/1.35 tff(1683,plain,(
% 1.65/1.35 ![X: $i] : (whitewine(X) | (~(q21(X) & wine(X))))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1682])).
% 1.65/1.35 tff(1684,plain,
% 1.65/1.35 (![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1683, 1676])).
% 1.65/1.35 tff(1685,plain,
% 1.65/1.35 (![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1684, 1674])).
% 1.65/1.35 tff(1686,plain,
% 1.65/1.35 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | ((~wine(chateaudychemsauterne)) | whitewine(chateaudychemsauterne) | (~q21(chateaudychemsauterne)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(chateaudychemsauterne)) | whitewine(chateaudychemsauterne) | (~q21(chateaudychemsauterne)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1687,plain,
% 1.65/1.35 ((whitewine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q21(chateaudychemsauterne))) <=> ((~wine(chateaudychemsauterne)) | whitewine(chateaudychemsauterne) | (~q21(chateaudychemsauterne)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1688,plain,
% 1.65/1.35 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q21(chateaudychemsauterne)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | ((~wine(chateaudychemsauterne)) | whitewine(chateaudychemsauterne) | (~q21(chateaudychemsauterne))))),
% 1.65/1.35 inference(monotonicity,[status(thm)],[1687])).
% 1.65/1.35 tff(1689,plain,
% 1.65/1.35 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q21(chateaudychemsauterne)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(chateaudychemsauterne)) | whitewine(chateaudychemsauterne) | (~q21(chateaudychemsauterne)))),
% 1.65/1.35 inference(transitivity,[status(thm)],[1688, 1686])).
% 1.65/1.35 tff(1690,plain,
% 1.65/1.35 ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(chateaudychemsauterne) | (~wine(chateaudychemsauterne)) | (~q21(chateaudychemsauterne)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1691,plain,
% 1.65/1.35 ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(chateaudychemsauterne)) | whitewine(chateaudychemsauterne) | (~q21(chateaudychemsauterne))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 1.65/1.35 tff(1692,plain,
% 1.65/1.35 (whitewine(chateaudychemsauterne) | (~q21(chateaudychemsauterne))),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1691, 1685, 300])).
% 1.65/1.35 tff(1693,plain,
% 1.65/1.35 (whitewine(chateaudychemsauterne)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1692, 1672])).
% 1.65/1.35 tff(1694,plain,
% 1.65/1.35 (^[X: $i] : refl((bordeaux(X) | (~sauternes(X))) <=> (bordeaux(X) | (~sauternes(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1695,plain,
% 1.65/1.35 (![X: $i] : (bordeaux(X) | (~sauternes(X))) <=> ![X: $i] : (bordeaux(X) | (~sauternes(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1694])).
% 1.65/1.35 tff(1696,plain,
% 1.65/1.35 (![X: $i] : (bordeaux(X) | (~sauternes(X))) <=> ![X: $i] : (bordeaux(X) | (~sauternes(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1697,plain,
% 1.65/1.35 (^[X: $i] : rewrite((sauternes(X) => bordeaux(X)) <=> (bordeaux(X) | (~sauternes(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1698,plain,
% 1.65/1.35 (![X: $i] : (sauternes(X) => bordeaux(X)) <=> ![X: $i] : (bordeaux(X) | (~sauternes(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1697])).
% 1.65/1.35 tff(1699,axiom,(![X: $i] : (sauternes(X) => bordeaux(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula418')).
% 1.65/1.35 tff(1700,plain,
% 1.65/1.35 (![X: $i] : (bordeaux(X) | (~sauternes(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 1.65/1.35 tff(1701,plain,
% 1.65/1.35 (![X: $i] : (bordeaux(X) | (~sauternes(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1700, 1696])).
% 1.65/1.35 tff(1702,plain,(
% 1.65/1.35 ![X: $i] : (bordeaux(X) | (~sauternes(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1701])).
% 1.65/1.35 tff(1703,plain,
% 1.65/1.35 (![X: $i] : (bordeaux(X) | (~sauternes(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1702, 1695])).
% 1.65/1.35 tff(1704,plain,
% 1.65/1.35 (((~![X: $i] : (bordeaux(X) | (~sauternes(X)))) | (bordeaux(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))) <=> ((~![X: $i] : (bordeaux(X) | (~sauternes(X)))) | bordeaux(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1705,plain,
% 1.65/1.35 ((~![X: $i] : (bordeaux(X) | (~sauternes(X)))) | (bordeaux(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1706,plain,
% 1.65/1.35 ((~![X: $i] : (bordeaux(X) | (~sauternes(X)))) | bordeaux(chateaudychemsauterne) | (~sauternes(chateaudychemsauterne))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 1.65/1.35 tff(1707,plain,
% 1.65/1.35 (bordeaux(chateaudychemsauterne)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1706, 1703, 234])).
% 1.65/1.35 tff(1708,plain,
% 1.65/1.35 (^[X: $i] : refl((whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X))) <=> (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1709,plain,
% 1.65/1.35 (![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X))) <=> ![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1708])).
% 1.65/1.35 tff(1710,plain,
% 1.65/1.35 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((bordeaux(X) & whitewine(X)) <=> (~((~bordeaux(X)) | (~whitewine(X))))), ((~(bordeaux(X) & whitewine(X))) <=> (~(~((~bordeaux(X)) | (~whitewine(X))))))), rewrite((~(~((~bordeaux(X)) | (~whitewine(X))))) <=> ((~bordeaux(X)) | (~whitewine(X)))), ((~(bordeaux(X) & whitewine(X))) <=> ((~bordeaux(X)) | (~whitewine(X))))), ((whitebordeaux(X) | (~(bordeaux(X) & whitewine(X)))) <=> (whitebordeaux(X) | ((~bordeaux(X)) | (~whitewine(X)))))), rewrite((whitebordeaux(X) | ((~bordeaux(X)) | (~whitewine(X)))) <=> (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))), ((whitebordeaux(X) | (~(bordeaux(X) & whitewine(X)))) <=> (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1711,plain,
% 1.65/1.35 (![X: $i] : (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X)))) <=> ![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1710])).
% 1.65/1.35 tff(1712,plain,
% 1.65/1.35 (![X: $i] : (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X)))) <=> ![X: $i] : (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X))))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1713,plain,
% 1.65/1.35 (^[X: $i] : rewrite(((bordeaux(X) & whitewine(X)) => whitebordeaux(X)) <=> (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1714,plain,
% 1.65/1.35 (![X: $i] : ((bordeaux(X) & whitewine(X)) => whitebordeaux(X)) <=> ![X: $i] : (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X))))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1713])).
% 1.65/1.35 tff(1715,axiom,(![X: $i] : ((bordeaux(X) & whitewine(X)) => whitebordeaux(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula570')).
% 1.65/1.35 tff(1716,plain,
% 1.65/1.35 (![X: $i] : (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 1.65/1.35 tff(1717,plain,
% 1.65/1.35 (![X: $i] : (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1716, 1712])).
% 1.65/1.35 tff(1718,plain,(
% 1.65/1.35 ![X: $i] : (whitebordeaux(X) | (~(bordeaux(X) & whitewine(X))))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1717])).
% 1.65/1.35 tff(1719,plain,
% 1.65/1.35 (![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1718, 1711])).
% 1.65/1.35 tff(1720,plain,
% 1.65/1.35 (![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1719, 1709])).
% 1.65/1.35 tff(1721,plain,
% 1.65/1.35 (((~![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))) | (whitebordeaux(chateaudychemsauterne) | (~bordeaux(chateaudychemsauterne)) | (~whitewine(chateaudychemsauterne)))) <=> ((~![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))) | whitebordeaux(chateaudychemsauterne) | (~bordeaux(chateaudychemsauterne)) | (~whitewine(chateaudychemsauterne)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1722,plain,
% 1.65/1.35 ((~![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))) | (whitebordeaux(chateaudychemsauterne) | (~bordeaux(chateaudychemsauterne)) | (~whitewine(chateaudychemsauterne)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1723,plain,
% 1.65/1.35 ((~![X: $i] : (whitebordeaux(X) | (~bordeaux(X)) | (~whitewine(X)))) | whitebordeaux(chateaudychemsauterne) | (~bordeaux(chateaudychemsauterne)) | (~whitewine(chateaudychemsauterne))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 1.65/1.35 tff(1724,plain,
% 1.65/1.35 (whitebordeaux(chateaudychemsauterne) | (~whitewine(chateaudychemsauterne))),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1723, 1720, 1707])).
% 1.65/1.35 tff(1725,plain,
% 1.65/1.35 (whitebordeaux(chateaudychemsauterne)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1724, 1693])).
% 1.65/1.35 tff(1726,assumption,(![X: $i] : (~whitebordeaux(X))), introduced(assumption)).
% 1.65/1.35 tff(1727,plain,
% 1.65/1.35 ((~![X: $i] : (~whitebordeaux(X))) | (~whitebordeaux(chateaudychemsauterne))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1728,plain,
% 1.65/1.35 ($false),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1727, 1726, 1725])).
% 1.65/1.35 tff(1729,plain,(~![X: $i] : (~whitebordeaux(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.35 tff(1730,plain,
% 1.65/1.35 (^[X: $i] : refl((whiteburgundy(X) | (~whiteburgundy_aux(X))) <=> (whiteburgundy(X) | (~whiteburgundy_aux(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1731,plain,
% 1.65/1.35 (![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X))) <=> ![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1730])).
% 1.65/1.35 tff(1732,plain,
% 1.65/1.35 (![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X))) <=> ![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1733,plain,
% 1.65/1.35 (^[X: $i] : rewrite((whiteburgundy_aux(X) => whiteburgundy(X)) <=> (whiteburgundy(X) | (~whiteburgundy_aux(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1734,plain,
% 1.65/1.35 (![X: $i] : (whiteburgundy_aux(X) => whiteburgundy(X)) <=> ![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1733])).
% 1.65/1.35 tff(1735,axiom,(![X: $i] : (whiteburgundy_aux(X) => whiteburgundy(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula109')).
% 1.65/1.35 tff(1736,plain,
% 1.65/1.35 (![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 1.65/1.35 tff(1737,plain,
% 1.65/1.35 (![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1736, 1732])).
% 1.65/1.35 tff(1738,plain,(
% 1.65/1.35 ![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1737])).
% 1.65/1.35 tff(1739,plain,
% 1.65/1.35 (![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1738, 1731])).
% 1.65/1.35 tff(1740,plain,
% 1.65/1.35 (whiteburgundy_aux(pulignymontrachetwhiteburgundy) <=> whiteburgundy_aux(pulignymontrachetwhiteburgundy)),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1741,axiom,(whiteburgundy_aux(pulignymontrachetwhiteburgundy)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula407')).
% 1.65/1.35 tff(1742,plain,
% 1.65/1.35 (whiteburgundy_aux(pulignymontrachetwhiteburgundy)),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 1.65/1.35 tff(1743,plain,
% 1.65/1.35 (((~![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))) | (whiteburgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy_aux(pulignymontrachetwhiteburgundy)))) <=> ((~![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))) | whiteburgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy_aux(pulignymontrachetwhiteburgundy)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1744,plain,
% 1.65/1.35 ((~![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))) | (whiteburgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy_aux(pulignymontrachetwhiteburgundy)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1745,plain,
% 1.65/1.35 ((~![X: $i] : (whiteburgundy(X) | (~whiteburgundy_aux(X)))) | whiteburgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy_aux(pulignymontrachetwhiteburgundy))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 1.65/1.35 tff(1746,plain,
% 1.65/1.35 (whiteburgundy(pulignymontrachetwhiteburgundy)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1745, 1742, 1739])).
% 1.65/1.35 tff(1747,assumption,(![X: $i] : (~whiteburgundy(X))), introduced(assumption)).
% 1.65/1.35 tff(1748,plain,
% 1.65/1.35 ((~![X: $i] : (~whiteburgundy(X))) | (~whiteburgundy(pulignymontrachetwhiteburgundy))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1749,plain,
% 1.65/1.35 ($false),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1748, 1747, 1746])).
% 1.65/1.35 tff(1750,plain,(~![X: $i] : (~whiteburgundy(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.35 tff(1751,plain,
% 1.65/1.35 (^[X: $i] : refl((q12(X) | (~pinotblanc(X))) <=> (q12(X) | (~pinotblanc(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1752,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~pinotblanc(X))) <=> ![X: $i] : (q12(X) | (~pinotblanc(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1751])).
% 1.65/1.35 tff(1753,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~pinotblanc(X))) <=> ![X: $i] : (q12(X) | (~pinotblanc(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1754,plain,
% 1.65/1.35 (^[X: $i] : rewrite((pinotblanc(X) => q12(X)) <=> (q12(X) | (~pinotblanc(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1755,plain,
% 1.65/1.35 (![X: $i] : (pinotblanc(X) => q12(X)) <=> ![X: $i] : (q12(X) | (~pinotblanc(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1754])).
% 1.65/1.35 tff(1756,axiom,(![X: $i] : (pinotblanc(X) => q12(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula141')).
% 1.65/1.35 tff(1757,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~pinotblanc(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 1.65/1.35 tff(1758,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~pinotblanc(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1757, 1753])).
% 1.65/1.35 tff(1759,plain,(
% 1.65/1.35 ![X: $i] : (q12(X) | (~pinotblanc(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1758])).
% 1.65/1.35 tff(1760,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~pinotblanc(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1759, 1752])).
% 1.65/1.35 tff(1761,plain,
% 1.65/1.35 (((~![X: $i] : (q12(X) | (~pinotblanc(X)))) | (q12(sevreetmainemuscadet) | (~pinotblanc(sevreetmainemuscadet)))) <=> ((~![X: $i] : (q12(X) | (~pinotblanc(X)))) | q12(sevreetmainemuscadet) | (~pinotblanc(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1762,plain,
% 1.65/1.35 ((~![X: $i] : (q12(X) | (~pinotblanc(X)))) | (q12(sevreetmainemuscadet) | (~pinotblanc(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1763,plain,
% 1.65/1.35 ((~![X: $i] : (q12(X) | (~pinotblanc(X)))) | q12(sevreetmainemuscadet) | (~pinotblanc(sevreetmainemuscadet))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 1.65/1.35 tff(1764,plain,
% 1.65/1.35 (q12(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1763, 1760, 213])).
% 1.65/1.35 tff(1765,plain,
% 1.65/1.35 (^[X: $i] : refl((ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X))) <=> (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1766,plain,
% 1.65/1.35 (![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1765])).
% 1.65/1.35 tff(1767,plain,
% 1.65/1.35 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q12(X) & kaon2namedobjects(X)) <=> (~((~q12(X)) | (~kaon2namedobjects(X))))), ((~(q12(X) & kaon2namedobjects(X))) <=> (~(~((~q12(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~q12(X)) | (~kaon2namedobjects(X))))) <=> ((~q12(X)) | (~kaon2namedobjects(X)))), ((~(q12(X) & kaon2namedobjects(X))) <=> ((~q12(X)) | (~kaon2namedobjects(X))))), ((ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X)))) <=> (ot____nom5(X) | ((~q12(X)) | (~kaon2namedobjects(X)))))), rewrite((ot____nom5(X) | ((~q12(X)) | (~kaon2namedobjects(X)))) <=> (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))), ((ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X)))) <=> (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1768,plain,
% 1.65/1.35 (![X: $i] : (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1767])).
% 1.65/1.35 tff(1769,plain,
% 1.65/1.35 (![X: $i] : (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X))))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1770,plain,
% 1.65/1.35 (^[X: $i] : rewrite(((q12(X) & kaon2namedobjects(X)) => ot____nom5(X)) <=> (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1771,plain,
% 1.65/1.35 (![X: $i] : ((q12(X) & kaon2namedobjects(X)) => ot____nom5(X)) <=> ![X: $i] : (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X))))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1770])).
% 1.65/1.35 tff(1772,axiom,(![X: $i] : ((q12(X) & kaon2namedobjects(X)) => ot____nom5(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula764')).
% 1.65/1.35 tff(1773,plain,
% 1.65/1.35 (![X: $i] : (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 1.65/1.35 tff(1774,plain,
% 1.65/1.35 (![X: $i] : (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1773, 1769])).
% 1.65/1.35 tff(1775,plain,(
% 1.65/1.35 ![X: $i] : (ot____nom5(X) | (~(q12(X) & kaon2namedobjects(X))))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1774])).
% 1.65/1.35 tff(1776,plain,
% 1.65/1.35 (![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1775, 1768])).
% 1.65/1.35 tff(1777,plain,
% 1.65/1.35 (![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1776, 1766])).
% 1.65/1.35 tff(1778,plain,
% 1.65/1.35 (kaon2namedobjects(sevreetmainemuscadet) <=> kaon2namedobjects(sevreetmainemuscadet)),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1779,axiom,(kaon2namedobjects(sevreetmainemuscadet)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula646')).
% 1.65/1.35 tff(1780,plain,
% 1.65/1.35 (kaon2namedobjects(sevreetmainemuscadet)),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1779, 1778])).
% 1.65/1.35 tff(1781,plain,
% 1.65/1.35 (((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(sevreetmainemuscadet)) | (~q12(sevreetmainemuscadet)) | ot____nom5(sevreetmainemuscadet))) <=> ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sevreetmainemuscadet)) | (~q12(sevreetmainemuscadet)) | ot____nom5(sevreetmainemuscadet))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1782,plain,
% 1.65/1.35 ((ot____nom5(sevreetmainemuscadet) | (~q12(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet))) <=> ((~kaon2namedobjects(sevreetmainemuscadet)) | (~q12(sevreetmainemuscadet)) | ot____nom5(sevreetmainemuscadet))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1783,plain,
% 1.65/1.35 (((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (ot____nom5(sevreetmainemuscadet) | (~q12(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet)))) <=> ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(sevreetmainemuscadet)) | (~q12(sevreetmainemuscadet)) | ot____nom5(sevreetmainemuscadet)))),
% 1.65/1.35 inference(monotonicity,[status(thm)],[1782])).
% 1.65/1.35 tff(1784,plain,
% 1.65/1.35 (((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (ot____nom5(sevreetmainemuscadet) | (~q12(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet)))) <=> ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sevreetmainemuscadet)) | (~q12(sevreetmainemuscadet)) | ot____nom5(sevreetmainemuscadet))),
% 1.65/1.35 inference(transitivity,[status(thm)],[1783, 1781])).
% 1.65/1.35 tff(1785,plain,
% 1.65/1.35 ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (ot____nom5(sevreetmainemuscadet) | (~q12(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1786,plain,
% 1.65/1.35 ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sevreetmainemuscadet)) | (~q12(sevreetmainemuscadet)) | ot____nom5(sevreetmainemuscadet)),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 1.65/1.35 tff(1787,plain,
% 1.65/1.35 ((~q12(sevreetmainemuscadet)) | ot____nom5(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1786, 1780, 1777])).
% 1.65/1.35 tff(1788,plain,
% 1.65/1.35 (ot____nom5(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1787, 1764])).
% 1.65/1.35 tff(1789,plain,
% 1.65/1.35 (^[X: $i] : refl((q31(X) | (~muscadet(X))) <=> (q31(X) | (~muscadet(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1790,plain,
% 1.65/1.35 (![X: $i] : (q31(X) | (~muscadet(X))) <=> ![X: $i] : (q31(X) | (~muscadet(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1789])).
% 1.65/1.35 tff(1791,plain,
% 1.65/1.35 (![X: $i] : (q31(X) | (~muscadet(X))) <=> ![X: $i] : (q31(X) | (~muscadet(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1792,plain,
% 1.65/1.35 (^[X: $i] : rewrite((muscadet(X) => q31(X)) <=> (q31(X) | (~muscadet(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1793,plain,
% 1.65/1.35 (![X: $i] : (muscadet(X) => q31(X)) <=> ![X: $i] : (q31(X) | (~muscadet(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1792])).
% 1.65/1.35 tff(1794,axiom,(![X: $i] : (muscadet(X) => q31(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula231')).
% 1.65/1.35 tff(1795,plain,
% 1.65/1.35 (![X: $i] : (q31(X) | (~muscadet(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 1.65/1.35 tff(1796,plain,
% 1.65/1.35 (![X: $i] : (q31(X) | (~muscadet(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1795, 1791])).
% 1.65/1.35 tff(1797,plain,(
% 1.65/1.35 ![X: $i] : (q31(X) | (~muscadet(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1796])).
% 1.65/1.35 tff(1798,plain,
% 1.65/1.35 (![X: $i] : (q31(X) | (~muscadet(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1797, 1790])).
% 1.65/1.35 tff(1799,plain,
% 1.65/1.35 (((~![X: $i] : (q31(X) | (~muscadet(X)))) | (q31(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))) <=> ((~![X: $i] : (q31(X) | (~muscadet(X)))) | q31(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1800,plain,
% 1.65/1.35 ((~![X: $i] : (q31(X) | (~muscadet(X)))) | (q31(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1801,plain,
% 1.65/1.35 ((~![X: $i] : (q31(X) | (~muscadet(X)))) | q31(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1800, 1799])).
% 1.65/1.35 tff(1802,plain,
% 1.65/1.35 (q31(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1801, 1798, 185])).
% 1.65/1.35 tff(1803,plain,
% 1.65/1.35 (^[X: $i] : refl((wine(X) | (~q31(X))) <=> (wine(X) | (~q31(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1804,plain,
% 1.65/1.35 (![X: $i] : (wine(X) | (~q31(X))) <=> ![X: $i] : (wine(X) | (~q31(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1803])).
% 1.65/1.35 tff(1805,plain,
% 1.65/1.35 (![X: $i] : (wine(X) | (~q31(X))) <=> ![X: $i] : (wine(X) | (~q31(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1806,plain,
% 1.65/1.35 (^[X: $i] : rewrite((q31(X) => wine(X)) <=> (wine(X) | (~q31(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1807,plain,
% 1.65/1.35 (![X: $i] : (q31(X) => wine(X)) <=> ![X: $i] : (wine(X) | (~q31(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1806])).
% 1.65/1.35 tff(1808,axiom,(![X: $i] : (q31(X) => wine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula596')).
% 1.65/1.35 tff(1809,plain,
% 1.65/1.35 (![X: $i] : (wine(X) | (~q31(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1808, 1807])).
% 1.65/1.35 tff(1810,plain,
% 1.65/1.35 (![X: $i] : (wine(X) | (~q31(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1809, 1805])).
% 1.65/1.35 tff(1811,plain,(
% 1.65/1.35 ![X: $i] : (wine(X) | (~q31(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1810])).
% 1.65/1.35 tff(1812,plain,
% 1.65/1.35 (![X: $i] : (wine(X) | (~q31(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1811, 1804])).
% 1.65/1.35 tff(1813,plain,
% 1.65/1.35 (((~![X: $i] : (wine(X) | (~q31(X)))) | (wine(sevreetmainemuscadet) | (~q31(sevreetmainemuscadet)))) <=> ((~![X: $i] : (wine(X) | (~q31(X)))) | wine(sevreetmainemuscadet) | (~q31(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1814,plain,
% 1.65/1.35 ((~![X: $i] : (wine(X) | (~q31(X)))) | (wine(sevreetmainemuscadet) | (~q31(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1815,plain,
% 1.65/1.35 ((~![X: $i] : (wine(X) | (~q31(X)))) | wine(sevreetmainemuscadet) | (~q31(sevreetmainemuscadet))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 1.65/1.35 tff(1816,plain,
% 1.65/1.35 (wine(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1815, 1812, 1802])).
% 1.65/1.35 tff(1817,plain,
% 1.65/1.35 (^[X: $i] : refl((hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X))) <=> (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1818,plain,
% 1.65/1.35 (![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1817])).
% 1.65/1.35 tff(1819,plain,
% 1.65/1.35 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((wine(X) & kaon2namedobjects(X)) <=> (~((~wine(X)) | (~kaon2namedobjects(X))))), ((~(wine(X) & kaon2namedobjects(X))) <=> (~(~((~wine(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~wine(X)) | (~kaon2namedobjects(X))))) <=> ((~wine(X)) | (~kaon2namedobjects(X)))), ((~(wine(X) & kaon2namedobjects(X))) <=> ((~wine(X)) | (~kaon2namedobjects(X))))), (((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X)) <=> (((~wine(X)) | (~kaon2namedobjects(X))) | hascolor(X, X)))), rewrite((((~wine(X)) | (~kaon2namedobjects(X))) | hascolor(X, X)) <=> (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))), (((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X)) <=> (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1820,plain,
% 1.65/1.35 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X)) <=> ![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1819])).
% 1.65/1.35 tff(1821,plain,
% 1.65/1.35 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X)) <=> ![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1822,plain,
% 1.65/1.35 (^[X: $i] : rewrite(((wine(X) & kaon2namedobjects(X)) => hascolor(X, X)) <=> ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X)))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1823,plain,
% 1.65/1.35 (![X: $i] : ((wine(X) & kaon2namedobjects(X)) => hascolor(X, X)) <=> ![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1822])).
% 1.65/1.35 tff(1824,axiom,(![X: $i] : ((wine(X) & kaon2namedobjects(X)) => hascolor(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula829')).
% 1.65/1.35 tff(1825,plain,
% 1.65/1.35 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 1.65/1.35 tff(1826,plain,
% 1.65/1.35 (![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1825, 1821])).
% 1.65/1.35 tff(1827,plain,(
% 1.65/1.35 ![X: $i] : ((~(wine(X) & kaon2namedobjects(X))) | hascolor(X, X))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1826])).
% 1.65/1.35 tff(1828,plain,
% 1.65/1.35 (![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1827, 1820])).
% 1.65/1.35 tff(1829,plain,
% 1.65/1.35 (![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1828, 1818])).
% 1.65/1.35 tff(1830,plain,
% 1.65/1.35 (((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(sevreetmainemuscadet)) | (~wine(sevreetmainemuscadet)) | hascolor(sevreetmainemuscadet, sevreetmainemuscadet))) <=> ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sevreetmainemuscadet)) | (~wine(sevreetmainemuscadet)) | hascolor(sevreetmainemuscadet, sevreetmainemuscadet))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1831,plain,
% 1.65/1.35 ((hascolor(sevreetmainemuscadet, sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet))) <=> ((~kaon2namedobjects(sevreetmainemuscadet)) | (~wine(sevreetmainemuscadet)) | hascolor(sevreetmainemuscadet, sevreetmainemuscadet))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1832,plain,
% 1.65/1.35 (((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hascolor(sevreetmainemuscadet, sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet)))) <=> ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(sevreetmainemuscadet)) | (~wine(sevreetmainemuscadet)) | hascolor(sevreetmainemuscadet, sevreetmainemuscadet)))),
% 1.65/1.35 inference(monotonicity,[status(thm)],[1831])).
% 1.65/1.35 tff(1833,plain,
% 1.65/1.35 (((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hascolor(sevreetmainemuscadet, sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet)))) <=> ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sevreetmainemuscadet)) | (~wine(sevreetmainemuscadet)) | hascolor(sevreetmainemuscadet, sevreetmainemuscadet))),
% 1.65/1.35 inference(transitivity,[status(thm)],[1832, 1830])).
% 1.65/1.35 tff(1834,plain,
% 1.65/1.35 ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hascolor(sevreetmainemuscadet, sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~kaon2namedobjects(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1835,plain,
% 1.65/1.35 ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sevreetmainemuscadet)) | (~wine(sevreetmainemuscadet)) | hascolor(sevreetmainemuscadet, sevreetmainemuscadet)),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 1.65/1.35 tff(1836,plain,
% 1.65/1.35 ((~wine(sevreetmainemuscadet)) | hascolor(sevreetmainemuscadet, sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1835, 1780, 1829])).
% 1.65/1.35 tff(1837,plain,
% 1.65/1.35 (hascolor(sevreetmainemuscadet, sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1836, 1816])).
% 1.65/1.35 tff(1838,plain,
% 1.65/1.35 (^[X: $i, Y: $i] : refl((q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y))) <=> (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1839,plain,
% 1.65/1.35 (![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y))) <=> ![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1838])).
% 1.65/1.35 tff(1840,plain,
% 1.65/1.35 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((hascolor(X, Y) & ot____nom5(Y)) <=> (~((~hascolor(X, Y)) | (~ot____nom5(Y))))), ((~(hascolor(X, Y) & ot____nom5(Y))) <=> (~(~((~hascolor(X, Y)) | (~ot____nom5(Y))))))), rewrite((~(~((~hascolor(X, Y)) | (~ot____nom5(Y))))) <=> ((~hascolor(X, Y)) | (~ot____nom5(Y)))), ((~(hascolor(X, Y) & ot____nom5(Y))) <=> ((~hascolor(X, Y)) | (~ot____nom5(Y))))), ((q21(X) | (~(hascolor(X, Y) & ot____nom5(Y)))) <=> (q21(X) | ((~hascolor(X, Y)) | (~ot____nom5(Y)))))), rewrite((q21(X) | ((~hascolor(X, Y)) | (~ot____nom5(Y)))) <=> (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))), ((q21(X) | (~(hascolor(X, Y) & ot____nom5(Y)))) <=> (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1841,plain,
% 1.65/1.35 (![X: $i, Y: $i] : (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y)))) <=> ![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1840])).
% 1.65/1.35 tff(1842,plain,
% 1.65/1.35 (![X: $i, Y: $i] : (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y)))) <=> ![X: $i, Y: $i] : (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y))))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1843,plain,
% 1.65/1.35 (^[X: $i, Y: $i] : rewrite(((hascolor(X, Y) & ot____nom5(Y)) => q21(X)) <=> (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1844,plain,
% 1.65/1.35 (![X: $i, Y: $i] : ((hascolor(X, Y) & ot____nom5(Y)) => q21(X)) <=> ![X: $i, Y: $i] : (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y))))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1843])).
% 1.65/1.35 tff(1845,axiom,(![X: $i, Y: $i] : ((hascolor(X, Y) & ot____nom5(Y)) => q21(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula180')).
% 1.65/1.35 tff(1846,plain,
% 1.65/1.35 (![X: $i, Y: $i] : (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 1.65/1.35 tff(1847,plain,
% 1.65/1.35 (![X: $i, Y: $i] : (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1846, 1842])).
% 1.65/1.35 tff(1848,plain,(
% 1.65/1.35 ![X: $i, Y: $i] : (q21(X) | (~(hascolor(X, Y) & ot____nom5(Y))))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1847])).
% 1.65/1.35 tff(1849,plain,
% 1.65/1.35 (![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1848, 1841])).
% 1.65/1.35 tff(1850,plain,
% 1.65/1.35 (![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1849, 1839])).
% 1.65/1.35 tff(1851,plain,
% 1.65/1.35 (((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | ((~ot____nom5(sevreetmainemuscadet)) | q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)))) <=> ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (~ot____nom5(sevreetmainemuscadet)) | q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1852,plain,
% 1.65/1.35 ((q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)) | (~ot____nom5(sevreetmainemuscadet))) <=> ((~ot____nom5(sevreetmainemuscadet)) | q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1853,plain,
% 1.65/1.35 (((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)) | (~ot____nom5(sevreetmainemuscadet)))) <=> ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | ((~ot____nom5(sevreetmainemuscadet)) | q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet))))),
% 1.65/1.35 inference(monotonicity,[status(thm)],[1852])).
% 1.65/1.35 tff(1854,plain,
% 1.65/1.35 (((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)) | (~ot____nom5(sevreetmainemuscadet)))) <=> ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (~ot____nom5(sevreetmainemuscadet)) | q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)))),
% 1.65/1.35 inference(transitivity,[status(thm)],[1853, 1851])).
% 1.65/1.35 tff(1855,plain,
% 1.65/1.35 ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet)) | (~ot____nom5(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1856,plain,
% 1.65/1.35 ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (~ot____nom5(sevreetmainemuscadet)) | q21(sevreetmainemuscadet) | (~hascolor(sevreetmainemuscadet, sevreetmainemuscadet))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1855, 1854])).
% 1.65/1.35 tff(1857,plain,
% 1.65/1.35 ((~ot____nom5(sevreetmainemuscadet)) | q21(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1856, 1850, 1837])).
% 1.65/1.35 tff(1858,plain,
% 1.65/1.35 (q21(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1857, 1788])).
% 1.65/1.35 tff(1859,plain,
% 1.65/1.35 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | ((~wine(sevreetmainemuscadet)) | whitewine(sevreetmainemuscadet) | (~q21(sevreetmainemuscadet)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(sevreetmainemuscadet)) | whitewine(sevreetmainemuscadet) | (~q21(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1860,plain,
% 1.65/1.35 ((whitewine(sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~q21(sevreetmainemuscadet))) <=> ((~wine(sevreetmainemuscadet)) | whitewine(sevreetmainemuscadet) | (~q21(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1861,plain,
% 1.65/1.35 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~q21(sevreetmainemuscadet)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | ((~wine(sevreetmainemuscadet)) | whitewine(sevreetmainemuscadet) | (~q21(sevreetmainemuscadet))))),
% 1.65/1.35 inference(monotonicity,[status(thm)],[1860])).
% 1.65/1.35 tff(1862,plain,
% 1.65/1.35 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~q21(sevreetmainemuscadet)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(sevreetmainemuscadet)) | whitewine(sevreetmainemuscadet) | (~q21(sevreetmainemuscadet)))),
% 1.65/1.35 inference(transitivity,[status(thm)],[1861, 1859])).
% 1.65/1.35 tff(1863,plain,
% 1.65/1.35 ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(sevreetmainemuscadet) | (~wine(sevreetmainemuscadet)) | (~q21(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1864,plain,
% 1.65/1.35 ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(sevreetmainemuscadet)) | whitewine(sevreetmainemuscadet) | (~q21(sevreetmainemuscadet))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 1.65/1.35 tff(1865,plain,
% 1.65/1.35 (whitewine(sevreetmainemuscadet) | (~q21(sevreetmainemuscadet))),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1864, 1685, 1816])).
% 1.65/1.35 tff(1866,plain,
% 1.65/1.35 (whitewine(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1865, 1858])).
% 1.65/1.35 tff(1867,plain,
% 1.65/1.35 (^[X: $i] : refl((loire(X) | (~muscadet(X))) <=> (loire(X) | (~muscadet(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1868,plain,
% 1.65/1.35 (![X: $i] : (loire(X) | (~muscadet(X))) <=> ![X: $i] : (loire(X) | (~muscadet(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1867])).
% 1.65/1.35 tff(1869,plain,
% 1.65/1.35 (![X: $i] : (loire(X) | (~muscadet(X))) <=> ![X: $i] : (loire(X) | (~muscadet(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1870,plain,
% 1.65/1.35 (^[X: $i] : rewrite((muscadet(X) => loire(X)) <=> (loire(X) | (~muscadet(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1871,plain,
% 1.65/1.35 (![X: $i] : (muscadet(X) => loire(X)) <=> ![X: $i] : (loire(X) | (~muscadet(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1870])).
% 1.65/1.35 tff(1872,axiom,(![X: $i] : (muscadet(X) => loire(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula483')).
% 1.65/1.35 tff(1873,plain,
% 1.65/1.35 (![X: $i] : (loire(X) | (~muscadet(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 1.65/1.35 tff(1874,plain,
% 1.65/1.35 (![X: $i] : (loire(X) | (~muscadet(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1873, 1869])).
% 1.65/1.35 tff(1875,plain,(
% 1.65/1.35 ![X: $i] : (loire(X) | (~muscadet(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1874])).
% 1.65/1.35 tff(1876,plain,
% 1.65/1.35 (![X: $i] : (loire(X) | (~muscadet(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1875, 1868])).
% 1.65/1.35 tff(1877,plain,
% 1.65/1.35 (((~![X: $i] : (loire(X) | (~muscadet(X)))) | (loire(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))) <=> ((~![X: $i] : (loire(X) | (~muscadet(X)))) | loire(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1878,plain,
% 1.65/1.35 ((~![X: $i] : (loire(X) | (~muscadet(X)))) | (loire(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1879,plain,
% 1.65/1.35 ((~![X: $i] : (loire(X) | (~muscadet(X)))) | loire(sevreetmainemuscadet) | (~muscadet(sevreetmainemuscadet))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 1.65/1.35 tff(1880,plain,
% 1.65/1.35 (loire(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1879, 1876, 185])).
% 1.65/1.35 tff(1881,plain,
% 1.65/1.35 (^[X: $i] : refl((whiteloire(X) | (~whitewine(X)) | (~loire(X))) <=> (whiteloire(X) | (~whitewine(X)) | (~loire(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1882,plain,
% 1.65/1.35 (![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X))) <=> ![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1881])).
% 1.65/1.35 tff(1883,plain,
% 1.65/1.35 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((loire(X) & whitewine(X)) <=> (~((~loire(X)) | (~whitewine(X))))), ((~(loire(X) & whitewine(X))) <=> (~(~((~loire(X)) | (~whitewine(X))))))), rewrite((~(~((~loire(X)) | (~whitewine(X))))) <=> ((~loire(X)) | (~whitewine(X)))), ((~(loire(X) & whitewine(X))) <=> ((~loire(X)) | (~whitewine(X))))), ((whiteloire(X) | (~(loire(X) & whitewine(X)))) <=> (whiteloire(X) | ((~loire(X)) | (~whitewine(X)))))), rewrite((whiteloire(X) | ((~loire(X)) | (~whitewine(X)))) <=> (whiteloire(X) | (~whitewine(X)) | (~loire(X)))), ((whiteloire(X) | (~(loire(X) & whitewine(X)))) <=> (whiteloire(X) | (~whitewine(X)) | (~loire(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1884,plain,
% 1.65/1.35 (![X: $i] : (whiteloire(X) | (~(loire(X) & whitewine(X)))) <=> ![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1883])).
% 1.65/1.35 tff(1885,plain,
% 1.65/1.35 (![X: $i] : (whiteloire(X) | (~(loire(X) & whitewine(X)))) <=> ![X: $i] : (whiteloire(X) | (~(loire(X) & whitewine(X))))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1886,plain,
% 1.65/1.35 (^[X: $i] : rewrite(((loire(X) & whitewine(X)) => whiteloire(X)) <=> (whiteloire(X) | (~(loire(X) & whitewine(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1887,plain,
% 1.65/1.35 (![X: $i] : ((loire(X) & whitewine(X)) => whiteloire(X)) <=> ![X: $i] : (whiteloire(X) | (~(loire(X) & whitewine(X))))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1886])).
% 1.65/1.35 tff(1888,axiom,(![X: $i] : ((loire(X) & whitewine(X)) => whiteloire(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula575')).
% 1.65/1.35 tff(1889,plain,
% 1.65/1.35 (![X: $i] : (whiteloire(X) | (~(loire(X) & whitewine(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1888, 1887])).
% 1.65/1.35 tff(1890,plain,
% 1.65/1.35 (![X: $i] : (whiteloire(X) | (~(loire(X) & whitewine(X))))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1889, 1885])).
% 1.65/1.35 tff(1891,plain,(
% 1.65/1.35 ![X: $i] : (whiteloire(X) | (~(loire(X) & whitewine(X))))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1890])).
% 1.65/1.35 tff(1892,plain,
% 1.65/1.35 (![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1891, 1884])).
% 1.65/1.35 tff(1893,plain,
% 1.65/1.35 (![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1892, 1882])).
% 1.65/1.35 tff(1894,plain,
% 1.65/1.35 (((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | ((~whitewine(sevreetmainemuscadet)) | whiteloire(sevreetmainemuscadet) | (~loire(sevreetmainemuscadet)))) <=> ((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | (~whitewine(sevreetmainemuscadet)) | whiteloire(sevreetmainemuscadet) | (~loire(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1895,plain,
% 1.65/1.35 ((whiteloire(sevreetmainemuscadet) | (~whitewine(sevreetmainemuscadet)) | (~loire(sevreetmainemuscadet))) <=> ((~whitewine(sevreetmainemuscadet)) | whiteloire(sevreetmainemuscadet) | (~loire(sevreetmainemuscadet)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1896,plain,
% 1.65/1.35 (((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | (whiteloire(sevreetmainemuscadet) | (~whitewine(sevreetmainemuscadet)) | (~loire(sevreetmainemuscadet)))) <=> ((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | ((~whitewine(sevreetmainemuscadet)) | whiteloire(sevreetmainemuscadet) | (~loire(sevreetmainemuscadet))))),
% 1.65/1.35 inference(monotonicity,[status(thm)],[1895])).
% 1.65/1.35 tff(1897,plain,
% 1.65/1.35 (((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | (whiteloire(sevreetmainemuscadet) | (~whitewine(sevreetmainemuscadet)) | (~loire(sevreetmainemuscadet)))) <=> ((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | (~whitewine(sevreetmainemuscadet)) | whiteloire(sevreetmainemuscadet) | (~loire(sevreetmainemuscadet)))),
% 1.65/1.35 inference(transitivity,[status(thm)],[1896, 1894])).
% 1.65/1.35 tff(1898,plain,
% 1.65/1.35 ((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | (whiteloire(sevreetmainemuscadet) | (~whitewine(sevreetmainemuscadet)) | (~loire(sevreetmainemuscadet)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1899,plain,
% 1.65/1.35 ((~![X: $i] : (whiteloire(X) | (~whitewine(X)) | (~loire(X)))) | (~whitewine(sevreetmainemuscadet)) | whiteloire(sevreetmainemuscadet) | (~loire(sevreetmainemuscadet))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1898, 1897])).
% 1.65/1.35 tff(1900,plain,
% 1.65/1.35 ((~whitewine(sevreetmainemuscadet)) | whiteloire(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1899, 1893, 1880])).
% 1.65/1.35 tff(1901,plain,
% 1.65/1.35 (whiteloire(sevreetmainemuscadet)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1900, 1866])).
% 1.65/1.35 tff(1902,assumption,(![X: $i] : (~whiteloire(X))), introduced(assumption)).
% 1.65/1.35 tff(1903,plain,
% 1.65/1.35 ((~![X: $i] : (~whiteloire(X))) | (~whiteloire(sevreetmainemuscadet))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1904,plain,
% 1.65/1.35 ($false),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1903, 1902, 1901])).
% 1.65/1.35 tff(1905,plain,(~![X: $i] : (~whiteloire(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.35 tff(1906,assumption,(![X: $i] : (~winecolor(X))), introduced(assumption)).
% 1.65/1.35 tff(1907,plain,
% 1.65/1.35 ((~![X: $i] : (~winecolor(X))) | (~winecolor(white))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1908,plain,
% 1.65/1.35 ($false),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1907, 1906, 1067])).
% 1.65/1.35 tff(1909,plain,(~![X: $i] : (~winecolor(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.35 tff(1910,plain,
% 1.65/1.35 (^[X: $i] : refl((q12(X) | (~riesling(X))) <=> (q12(X) | (~riesling(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1911,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~riesling(X))) <=> ![X: $i] : (q12(X) | (~riesling(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1910])).
% 1.65/1.35 tff(1912,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~riesling(X))) <=> ![X: $i] : (q12(X) | (~riesling(X)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1913,plain,
% 1.65/1.35 (^[X: $i] : rewrite((riesling(X) => q12(X)) <=> (q12(X) | (~riesling(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1914,plain,
% 1.65/1.35 (![X: $i] : (riesling(X) => q12(X)) <=> ![X: $i] : (q12(X) | (~riesling(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1913])).
% 1.65/1.35 tff(1915,axiom,(![X: $i] : (riesling(X) => q12(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula146')).
% 1.65/1.35 tff(1916,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~riesling(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 1.65/1.35 tff(1917,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~riesling(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1916, 1912])).
% 1.65/1.35 tff(1918,plain,(
% 1.65/1.35 ![X: $i] : (q12(X) | (~riesling(X)))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1917])).
% 1.65/1.35 tff(1919,plain,
% 1.65/1.35 (![X: $i] : (q12(X) | (~riesling(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1918, 1911])).
% 1.65/1.35 tff(1920,plain,
% 1.65/1.35 (((~![X: $i] : (q12(X) | (~riesling(X)))) | (q12(corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (q12(X) | (~riesling(X)))) | q12(corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1921,plain,
% 1.65/1.35 ((~![X: $i] : (q12(X) | (~riesling(X)))) | (q12(corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1922,plain,
% 1.65/1.35 ((~![X: $i] : (q12(X) | (~riesling(X)))) | q12(corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 1.65/1.35 tff(1923,plain,
% 1.65/1.35 (q12(corbansdrywhiteriesling)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1922, 1919, 581])).
% 1.65/1.35 tff(1924,plain,
% 1.65/1.35 (((~![X: $i] : (q21(X) | (~q12(X)))) | (q21(corbansdrywhiteriesling) | (~q12(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (q21(X) | (~q12(X)))) | q21(corbansdrywhiteriesling) | (~q12(corbansdrywhiteriesling)))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1925,plain,
% 1.65/1.35 ((~![X: $i] : (q21(X) | (~q12(X)))) | (q21(corbansdrywhiteriesling) | (~q12(corbansdrywhiteriesling)))),
% 1.65/1.35 inference(quant_inst,[status(thm)],[])).
% 1.65/1.35 tff(1926,plain,
% 1.65/1.35 ((~![X: $i] : (q21(X) | (~q12(X)))) | q21(corbansdrywhiteriesling) | (~q12(corbansdrywhiteriesling))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 1.65/1.35 tff(1927,plain,
% 1.65/1.35 (q21(corbansdrywhiteriesling)),
% 1.65/1.35 inference(unit_resolution,[status(thm)],[1926, 1668, 1923])).
% 1.65/1.35 tff(1928,plain,
% 1.65/1.35 (^[X: $i] : refl((madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X))) <=> (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1929,plain,
% 1.65/1.35 (![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1928])).
% 1.65/1.35 tff(1930,plain,
% 1.65/1.35 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((riesling(X) & kaon2namedobjects(X)) <=> (~((~riesling(X)) | (~kaon2namedobjects(X))))), ((~(riesling(X) & kaon2namedobjects(X))) <=> (~(~((~riesling(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~riesling(X)) | (~kaon2namedobjects(X))))) <=> ((~riesling(X)) | (~kaon2namedobjects(X)))), ((~(riesling(X) & kaon2namedobjects(X))) <=> ((~riesling(X)) | (~kaon2namedobjects(X))))), (((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (((~riesling(X)) | (~kaon2namedobjects(X))) | madefromgrape(X, X)))), rewrite((((~riesling(X)) | (~kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))), (((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1931,plain,
% 1.65/1.35 (![X: $i] : ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> ![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1930])).
% 1.65/1.35 tff(1932,plain,
% 1.65/1.35 (![X: $i] : ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> ![X: $i] : ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1933,plain,
% 1.65/1.35 (^[X: $i] : rewrite(((riesling(X) & kaon2namedobjects(X)) => madefromgrape(X, X)) <=> ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X)))),
% 1.65/1.35 inference(bind,[status(th)],[])).
% 1.65/1.35 tff(1934,plain,
% 1.65/1.35 (![X: $i] : ((riesling(X) & kaon2namedobjects(X)) => madefromgrape(X, X)) <=> ![X: $i] : ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.35 inference(quant_intro,[status(thm)],[1933])).
% 1.65/1.35 tff(1935,axiom,(![X: $i] : ((riesling(X) & kaon2namedobjects(X)) => madefromgrape(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula892')).
% 1.65/1.35 tff(1936,plain,
% 1.65/1.35 (![X: $i] : ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 1.65/1.35 tff(1937,plain,
% 1.65/1.35 (![X: $i] : ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1936, 1932])).
% 1.65/1.35 tff(1938,plain,(
% 1.65/1.35 ![X: $i] : ((~(riesling(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.35 inference(skolemize,[status(sab)],[1937])).
% 1.65/1.35 tff(1939,plain,
% 1.65/1.35 (![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1938, 1931])).
% 1.65/1.35 tff(1940,plain,
% 1.65/1.35 (![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1939, 1929])).
% 1.65/1.35 tff(1941,plain,
% 1.65/1.35 (kaon2namedobjects(corbansdrywhiteriesling) <=> kaon2namedobjects(corbansdrywhiteriesling)),
% 1.65/1.35 inference(rewrite,[status(thm)],[])).
% 1.65/1.35 tff(1942,axiom,(kaon2namedobjects(corbansdrywhiteriesling)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula496')).
% 1.65/1.35 tff(1943,plain,
% 1.65/1.35 (kaon2namedobjects(corbansdrywhiteriesling)),
% 1.65/1.35 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 1.65/1.35 tff(1944,plain,
% 1.65/1.35 (((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(corbansdrywhiteriesling)) | madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(corbansdrywhiteriesling)) | madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1945,plain,
% 1.65/1.36 ((madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling))) <=> ((~kaon2namedobjects(corbansdrywhiteriesling)) | madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1946,plain,
% 1.65/1.36 (((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(corbansdrywhiteriesling)) | madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling))))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[1945])).
% 1.65/1.36 tff(1947,plain,
% 1.65/1.36 (((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(corbansdrywhiteriesling)) | madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(transitivity,[status(thm)],[1946, 1944])).
% 1.65/1.36 tff(1948,plain,
% 1.65/1.36 ((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(1949,plain,
% 1.65/1.36 ((~![X: $i] : (madefromgrape(X, X) | (~riesling(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(corbansdrywhiteriesling)) | madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling) | (~riesling(corbansdrywhiteriesling))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 1.65/1.36 tff(1950,plain,
% 1.65/1.36 (madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1949, 1943, 1940, 581])).
% 1.65/1.36 tff(1951,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(corbansdrywhiteriesling) | (~madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling)))) <=> ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(corbansdrywhiteriesling) | (~madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1952,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(corbansdrywhiteriesling) | (~madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(1953,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(corbansdrywhiteriesling) | (~madefromgrape(corbansdrywhiteriesling, corbansdrywhiteriesling))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 1.65/1.36 tff(1954,plain,
% 1.65/1.36 (wine(corbansdrywhiteriesling)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1953, 296, 1950])).
% 1.65/1.36 tff(1955,plain,
% 1.65/1.36 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | ((~wine(corbansdrywhiteriesling)) | whitewine(corbansdrywhiteriesling) | (~q21(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(corbansdrywhiteriesling)) | whitewine(corbansdrywhiteriesling) | (~q21(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1956,plain,
% 1.65/1.36 ((whitewine(corbansdrywhiteriesling) | (~wine(corbansdrywhiteriesling)) | (~q21(corbansdrywhiteriesling))) <=> ((~wine(corbansdrywhiteriesling)) | whitewine(corbansdrywhiteriesling) | (~q21(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1957,plain,
% 1.65/1.36 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(corbansdrywhiteriesling) | (~wine(corbansdrywhiteriesling)) | (~q21(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | ((~wine(corbansdrywhiteriesling)) | whitewine(corbansdrywhiteriesling) | (~q21(corbansdrywhiteriesling))))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[1956])).
% 1.65/1.36 tff(1958,plain,
% 1.65/1.36 (((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(corbansdrywhiteriesling) | (~wine(corbansdrywhiteriesling)) | (~q21(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(corbansdrywhiteriesling)) | whitewine(corbansdrywhiteriesling) | (~q21(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(transitivity,[status(thm)],[1957, 1955])).
% 1.65/1.36 tff(1959,plain,
% 1.65/1.36 ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (whitewine(corbansdrywhiteriesling) | (~wine(corbansdrywhiteriesling)) | (~q21(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(1960,plain,
% 1.65/1.36 ((~![X: $i] : (whitewine(X) | (~wine(X)) | (~q21(X)))) | (~wine(corbansdrywhiteriesling)) | whitewine(corbansdrywhiteriesling) | (~q21(corbansdrywhiteriesling))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 1.65/1.36 tff(1961,plain,
% 1.65/1.36 (whitewine(corbansdrywhiteriesling) | (~q21(corbansdrywhiteriesling))),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1960, 1685, 1954])).
% 1.65/1.36 tff(1962,plain,
% 1.65/1.36 (whitewine(corbansdrywhiteriesling)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1961, 1927])).
% 1.65/1.36 tff(1963,plain,
% 1.65/1.36 (^[X: $i] : refl((whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X))) <=> (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(1964,plain,
% 1.65/1.36 (![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[1963])).
% 1.65/1.36 tff(1965,plain,
% 1.65/1.36 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((whitewine(X) & kaon2namedobjects(X)) <=> (~((~whitewine(X)) | (~kaon2namedobjects(X))))), ((~(whitewine(X) & kaon2namedobjects(X))) <=> (~(~((~whitewine(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~whitewine(X)) | (~kaon2namedobjects(X))))) <=> ((~whitewine(X)) | (~kaon2namedobjects(X)))), ((~(whitewine(X) & kaon2namedobjects(X))) <=> ((~whitewine(X)) | (~kaon2namedobjects(X))))), ((whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X)))) <=> (whitenonsweetwine(X) | ((~whitewine(X)) | (~kaon2namedobjects(X)))))), rewrite((whitenonsweetwine(X) | ((~whitewine(X)) | (~kaon2namedobjects(X)))) <=> (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))), ((whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X)))) <=> (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(1966,plain,
% 1.65/1.36 (![X: $i] : (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[1965])).
% 1.65/1.36 tff(1967,plain,
% 1.65/1.36 (![X: $i] : (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X))))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1968,plain,
% 1.65/1.36 (^[X: $i] : rewrite(((whitewine(X) & kaon2namedobjects(X)) => whitenonsweetwine(X)) <=> (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X)))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(1969,plain,
% 1.65/1.36 (![X: $i] : ((whitewine(X) & kaon2namedobjects(X)) => whitenonsweetwine(X)) <=> ![X: $i] : (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X))))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[1968])).
% 1.65/1.36 tff(1970,axiom,(![X: $i] : ((whitewine(X) & kaon2namedobjects(X)) => whitenonsweetwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula577')).
% 1.65/1.36 tff(1971,plain,
% 1.65/1.36 (![X: $i] : (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X))))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1970, 1969])).
% 1.65/1.36 tff(1972,plain,
% 1.65/1.36 (![X: $i] : (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X))))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1971, 1967])).
% 1.65/1.36 tff(1973,plain,(
% 1.65/1.36 ![X: $i] : (whitenonsweetwine(X) | (~(whitewine(X) & kaon2namedobjects(X))))),
% 1.65/1.36 inference(skolemize,[status(sab)],[1972])).
% 1.65/1.36 tff(1974,plain,
% 1.65/1.36 (![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1973, 1966])).
% 1.65/1.36 tff(1975,plain,
% 1.65/1.36 (![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1974, 1964])).
% 1.65/1.36 tff(1976,plain,
% 1.65/1.36 (((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(corbansdrywhiteriesling)) | (~whitewine(corbansdrywhiteriesling)) | whitenonsweetwine(corbansdrywhiteriesling))) <=> ((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(corbansdrywhiteriesling)) | (~whitewine(corbansdrywhiteriesling)) | whitenonsweetwine(corbansdrywhiteriesling))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1977,plain,
% 1.65/1.36 ((whitenonsweetwine(corbansdrywhiteriesling) | (~whitewine(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling))) <=> ((~kaon2namedobjects(corbansdrywhiteriesling)) | (~whitewine(corbansdrywhiteriesling)) | whitenonsweetwine(corbansdrywhiteriesling))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1978,plain,
% 1.65/1.36 (((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | (whitenonsweetwine(corbansdrywhiteriesling) | (~whitewine(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(corbansdrywhiteriesling)) | (~whitewine(corbansdrywhiteriesling)) | whitenonsweetwine(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[1977])).
% 1.65/1.36 tff(1979,plain,
% 1.65/1.36 (((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | (whitenonsweetwine(corbansdrywhiteriesling) | (~whitewine(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling)))) <=> ((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(corbansdrywhiteriesling)) | (~whitewine(corbansdrywhiteriesling)) | whitenonsweetwine(corbansdrywhiteriesling))),
% 1.65/1.36 inference(transitivity,[status(thm)],[1978, 1976])).
% 1.65/1.36 tff(1980,plain,
% 1.65/1.36 ((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | (whitenonsweetwine(corbansdrywhiteriesling) | (~whitewine(corbansdrywhiteriesling)) | (~kaon2namedobjects(corbansdrywhiteriesling)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(1981,plain,
% 1.65/1.36 ((~![X: $i] : (whitenonsweetwine(X) | (~whitewine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(corbansdrywhiteriesling)) | (~whitewine(corbansdrywhiteriesling)) | whitenonsweetwine(corbansdrywhiteriesling)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 1.65/1.36 tff(1982,plain,
% 1.65/1.36 ((~whitewine(corbansdrywhiteriesling)) | whitenonsweetwine(corbansdrywhiteriesling)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1981, 1943, 1975])).
% 1.65/1.36 tff(1983,plain,
% 1.65/1.36 (whitenonsweetwine(corbansdrywhiteriesling)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1982, 1962])).
% 1.65/1.36 tff(1984,assumption,(![X: $i] : (~whitenonsweetwine(X))), introduced(assumption)).
% 1.65/1.36 tff(1985,plain,
% 1.65/1.36 ((~![X: $i] : (~whitenonsweetwine(X))) | (~whitenonsweetwine(corbansdrywhiteriesling))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(1986,plain,
% 1.65/1.36 ($false),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1985, 1984, 1983])).
% 1.65/1.36 tff(1987,plain,(~![X: $i] : (~whitenonsweetwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.36 tff(1988,plain,
% 1.65/1.36 (hassugar_aux(kalincellarssemillon, dry) <=> hassugar_aux(kalincellarssemillon, dry)),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1989,axiom,(hassugar_aux(kalincellarssemillon, dry)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula157')).
% 1.65/1.36 tff(1990,plain,
% 1.65/1.36 (hassugar_aux(kalincellarssemillon, dry)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1989, 1988])).
% 1.65/1.36 tff(1991,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(kalincellarssemillon, dry)) | hassugar(kalincellarssemillon, dry))) <=> ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(kalincellarssemillon, dry)) | hassugar(kalincellarssemillon, dry))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1992,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(kalincellarssemillon, dry)) | hassugar(kalincellarssemillon, dry))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(1993,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(kalincellarssemillon, dry)) | hassugar(kalincellarssemillon, dry)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 1.65/1.36 tff(1994,plain,
% 1.65/1.36 (hassugar(kalincellarssemillon, dry)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[1993, 1990, 136])).
% 1.65/1.36 tff(1995,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | ((~ot____nom12(dry)) | (~hassugar(kalincellarssemillon, dry)) | q46(kalincellarssemillon))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(kalincellarssemillon, dry)) | q46(kalincellarssemillon))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1996,plain,
% 1.65/1.36 ((q46(kalincellarssemillon) | (~hassugar(kalincellarssemillon, dry)) | (~ot____nom12(dry))) <=> ((~ot____nom12(dry)) | (~hassugar(kalincellarssemillon, dry)) | q46(kalincellarssemillon))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(1997,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(kalincellarssemillon) | (~hassugar(kalincellarssemillon, dry)) | (~ot____nom12(dry)))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | ((~ot____nom12(dry)) | (~hassugar(kalincellarssemillon, dry)) | q46(kalincellarssemillon)))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[1996])).
% 1.65/1.36 tff(1998,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(kalincellarssemillon) | (~hassugar(kalincellarssemillon, dry)) | (~ot____nom12(dry)))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(kalincellarssemillon, dry)) | q46(kalincellarssemillon))),
% 1.65/1.36 inference(transitivity,[status(thm)],[1997, 1995])).
% 1.65/1.36 tff(1999,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(kalincellarssemillon) | (~hassugar(kalincellarssemillon, dry)) | (~ot____nom12(dry)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2000,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(kalincellarssemillon, dry)) | q46(kalincellarssemillon)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 1.65/1.36 tff(2001,plain,
% 1.65/1.36 (q46(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2000, 1567, 1994, 1547])).
% 1.65/1.36 tff(2002,plain,
% 1.65/1.36 (^[X: $i] : refl((semillon(X) | (~semillon_aux(X))) <=> (semillon(X) | (~semillon_aux(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2003,plain,
% 1.65/1.36 (![X: $i] : (semillon(X) | (~semillon_aux(X))) <=> ![X: $i] : (semillon(X) | (~semillon_aux(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2002])).
% 1.65/1.36 tff(2004,plain,
% 1.65/1.36 (![X: $i] : (semillon(X) | (~semillon_aux(X))) <=> ![X: $i] : (semillon(X) | (~semillon_aux(X)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2005,plain,
% 1.65/1.36 (^[X: $i] : rewrite((semillon_aux(X) => semillon(X)) <=> (semillon(X) | (~semillon_aux(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2006,plain,
% 1.65/1.36 (![X: $i] : (semillon_aux(X) => semillon(X)) <=> ![X: $i] : (semillon(X) | (~semillon_aux(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2005])).
% 1.65/1.36 tff(2007,axiom,(![X: $i] : (semillon_aux(X) => semillon(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula105')).
% 1.65/1.36 tff(2008,plain,
% 1.65/1.36 (![X: $i] : (semillon(X) | (~semillon_aux(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 1.65/1.36 tff(2009,plain,
% 1.65/1.36 (![X: $i] : (semillon(X) | (~semillon_aux(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2008, 2004])).
% 1.65/1.36 tff(2010,plain,(
% 1.65/1.36 ![X: $i] : (semillon(X) | (~semillon_aux(X)))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2009])).
% 1.65/1.36 tff(2011,plain,
% 1.65/1.36 (![X: $i] : (semillon(X) | (~semillon_aux(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2010, 2003])).
% 1.65/1.36 tff(2012,plain,
% 1.65/1.36 (semillon_aux(kalincellarssemillon) <=> semillon_aux(kalincellarssemillon)),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2013,axiom,(semillon_aux(kalincellarssemillon)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula487')).
% 1.65/1.36 tff(2014,plain,
% 1.65/1.36 (semillon_aux(kalincellarssemillon)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2013, 2012])).
% 1.65/1.36 tff(2015,plain,
% 1.65/1.36 (((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | (semillon(kalincellarssemillon) | (~semillon_aux(kalincellarssemillon)))) <=> ((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | semillon(kalincellarssemillon) | (~semillon_aux(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2016,plain,
% 1.65/1.36 ((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | (semillon(kalincellarssemillon) | (~semillon_aux(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2017,plain,
% 1.65/1.36 ((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | semillon(kalincellarssemillon) | (~semillon_aux(kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2016, 2015])).
% 1.65/1.36 tff(2018,plain,
% 1.65/1.36 (semillon(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2017, 2014, 2011])).
% 1.65/1.36 tff(2019,plain,
% 1.65/1.36 (^[X: $i] : refl((madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X))) <=> (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2020,plain,
% 1.65/1.36 (![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2019])).
% 1.65/1.36 tff(2021,plain,
% 1.65/1.36 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((semillon(X) & kaon2namedobjects(X)) <=> (~((~semillon(X)) | (~kaon2namedobjects(X))))), ((~(semillon(X) & kaon2namedobjects(X))) <=> (~(~((~semillon(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~semillon(X)) | (~kaon2namedobjects(X))))) <=> ((~semillon(X)) | (~kaon2namedobjects(X)))), ((~(semillon(X) & kaon2namedobjects(X))) <=> ((~semillon(X)) | (~kaon2namedobjects(X))))), (((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (((~semillon(X)) | (~kaon2namedobjects(X))) | madefromgrape(X, X)))), rewrite((((~semillon(X)) | (~kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))), (((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2022,plain,
% 1.65/1.36 (![X: $i] : ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> ![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2021])).
% 1.65/1.36 tff(2023,plain,
% 1.65/1.36 (![X: $i] : ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> ![X: $i] : ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2024,plain,
% 1.65/1.36 (^[X: $i] : rewrite(((semillon(X) & kaon2namedobjects(X)) => madefromgrape(X, X)) <=> ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X)))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2025,plain,
% 1.65/1.36 (![X: $i] : ((semillon(X) & kaon2namedobjects(X)) => madefromgrape(X, X)) <=> ![X: $i] : ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2024])).
% 1.65/1.36 tff(2026,axiom,(![X: $i] : ((semillon(X) & kaon2namedobjects(X)) => madefromgrape(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula896')).
% 1.65/1.36 tff(2027,plain,
% 1.65/1.36 (![X: $i] : ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2026, 2025])).
% 1.65/1.36 tff(2028,plain,
% 1.65/1.36 (![X: $i] : ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2027, 2023])).
% 1.65/1.36 tff(2029,plain,(
% 1.65/1.36 ![X: $i] : ((~(semillon(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2028])).
% 1.65/1.36 tff(2030,plain,
% 1.65/1.36 (![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2029, 2022])).
% 1.65/1.36 tff(2031,plain,
% 1.65/1.36 (![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2030, 2020])).
% 1.65/1.36 tff(2032,plain,
% 1.65/1.36 (kaon2namedobjects(kalincellarssemillon) <=> kaon2namedobjects(kalincellarssemillon)),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2033,axiom,(kaon2namedobjects(kalincellarssemillon)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula623')).
% 1.65/1.36 tff(2034,plain,
% 1.65/1.36 (kaon2namedobjects(kalincellarssemillon)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 1.65/1.36 tff(2035,plain,
% 1.65/1.36 (((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(kalincellarssemillon)) | madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2036,plain,
% 1.65/1.36 ((madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon))) <=> ((~kaon2namedobjects(kalincellarssemillon)) | madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2037,plain,
% 1.65/1.36 (((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(kalincellarssemillon)) | madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon))))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[2036])).
% 1.65/1.36 tff(2038,plain,
% 1.65/1.36 (((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)))),
% 1.65/1.36 inference(transitivity,[status(thm)],[2037, 2035])).
% 1.65/1.36 tff(2039,plain,
% 1.65/1.36 ((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2040,plain,
% 1.65/1.36 ((~![X: $i] : (madefromgrape(X, X) | (~semillon(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | madefromgrape(kalincellarssemillon, kalincellarssemillon) | (~semillon(kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 1.65/1.36 tff(2041,plain,
% 1.65/1.36 (madefromgrape(kalincellarssemillon, kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2040, 2034, 2031, 2018])).
% 1.65/1.36 tff(2042,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(kalincellarssemillon) | (~madefromgrape(kalincellarssemillon, kalincellarssemillon)))) <=> ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(kalincellarssemillon) | (~madefromgrape(kalincellarssemillon, kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2043,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(kalincellarssemillon) | (~madefromgrape(kalincellarssemillon, kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2044,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(kalincellarssemillon) | (~madefromgrape(kalincellarssemillon, kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2043, 2042])).
% 1.65/1.36 tff(2045,plain,
% 1.65/1.36 (wine(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2044, 296, 2041])).
% 1.65/1.36 tff(2046,plain,
% 1.65/1.36 (^[X: $i] : refl((tablewine(X) | (~wine(X)) | (~q46(X))) <=> (tablewine(X) | (~wine(X)) | (~q46(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2047,plain,
% 1.65/1.36 (![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X))) <=> ![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2046])).
% 1.65/1.36 tff(2048,plain,
% 1.65/1.36 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q46(X) & wine(X)) <=> (~((~q46(X)) | (~wine(X))))), ((~(q46(X) & wine(X))) <=> (~(~((~q46(X)) | (~wine(X))))))), rewrite((~(~((~q46(X)) | (~wine(X))))) <=> ((~q46(X)) | (~wine(X)))), ((~(q46(X) & wine(X))) <=> ((~q46(X)) | (~wine(X))))), ((tablewine(X) | (~(q46(X) & wine(X)))) <=> (tablewine(X) | ((~q46(X)) | (~wine(X)))))), rewrite((tablewine(X) | ((~q46(X)) | (~wine(X)))) <=> (tablewine(X) | (~wine(X)) | (~q46(X)))), ((tablewine(X) | (~(q46(X) & wine(X)))) <=> (tablewine(X) | (~wine(X)) | (~q46(X)))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2049,plain,
% 1.65/1.36 (![X: $i] : (tablewine(X) | (~(q46(X) & wine(X)))) <=> ![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2048])).
% 1.65/1.36 tff(2050,plain,
% 1.65/1.36 (![X: $i] : (tablewine(X) | (~(q46(X) & wine(X)))) <=> ![X: $i] : (tablewine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2051,plain,
% 1.65/1.36 (^[X: $i] : rewrite(((q46(X) & wine(X)) => tablewine(X)) <=> (tablewine(X) | (~(q46(X) & wine(X)))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2052,plain,
% 1.65/1.36 (![X: $i] : ((q46(X) & wine(X)) => tablewine(X)) <=> ![X: $i] : (tablewine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2051])).
% 1.65/1.36 tff(2053,axiom,(![X: $i] : ((q46(X) & wine(X)) => tablewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula560')).
% 1.65/1.36 tff(2054,plain,
% 1.65/1.36 (![X: $i] : (tablewine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 1.65/1.36 tff(2055,plain,
% 1.65/1.36 (![X: $i] : (tablewine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2054, 2050])).
% 1.65/1.36 tff(2056,plain,(
% 1.65/1.36 ![X: $i] : (tablewine(X) | (~(q46(X) & wine(X))))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2055])).
% 1.65/1.36 tff(2057,plain,
% 1.65/1.36 (![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2056, 2049])).
% 1.65/1.36 tff(2058,plain,
% 1.65/1.36 (![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2057, 2047])).
% 1.65/1.36 tff(2059,plain,
% 1.65/1.36 (((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | ((~wine(kalincellarssemillon)) | tablewine(kalincellarssemillon) | (~q46(kalincellarssemillon)))) <=> ((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | (~wine(kalincellarssemillon)) | tablewine(kalincellarssemillon) | (~q46(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2060,plain,
% 1.65/1.36 ((tablewine(kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~q46(kalincellarssemillon))) <=> ((~wine(kalincellarssemillon)) | tablewine(kalincellarssemillon) | (~q46(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2061,plain,
% 1.65/1.36 (((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | (tablewine(kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~q46(kalincellarssemillon)))) <=> ((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | ((~wine(kalincellarssemillon)) | tablewine(kalincellarssemillon) | (~q46(kalincellarssemillon))))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[2060])).
% 1.65/1.36 tff(2062,plain,
% 1.65/1.36 (((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | (tablewine(kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~q46(kalincellarssemillon)))) <=> ((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | (~wine(kalincellarssemillon)) | tablewine(kalincellarssemillon) | (~q46(kalincellarssemillon)))),
% 1.65/1.36 inference(transitivity,[status(thm)],[2061, 2059])).
% 1.65/1.36 tff(2063,plain,
% 1.65/1.36 ((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | (tablewine(kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~q46(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2064,plain,
% 1.65/1.36 ((~![X: $i] : (tablewine(X) | (~wine(X)) | (~q46(X)))) | (~wine(kalincellarssemillon)) | tablewine(kalincellarssemillon) | (~q46(kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 1.65/1.36 tff(2065,plain,
% 1.65/1.36 (tablewine(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2064, 2058, 2045, 2001])).
% 1.65/1.36 tff(2066,plain,
% 1.65/1.36 (^[X: $i] : refl((semillonorsauvignonblanc(X) | (~semillon(X))) <=> (semillonorsauvignonblanc(X) | (~semillon(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2067,plain,
% 1.65/1.36 (![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X))) <=> ![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2066])).
% 1.65/1.36 tff(2068,plain,
% 1.65/1.36 (![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X))) <=> ![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2069,plain,
% 1.65/1.36 (^[X: $i] : rewrite((semillon(X) => semillonorsauvignonblanc(X)) <=> (semillonorsauvignonblanc(X) | (~semillon(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2070,plain,
% 1.65/1.36 (![X: $i] : (semillon(X) => semillonorsauvignonblanc(X)) <=> ![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2069])).
% 1.65/1.36 tff(2071,axiom,(![X: $i] : (semillon(X) => semillonorsauvignonblanc(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula547')).
% 1.65/1.36 tff(2072,plain,
% 1.65/1.36 (![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 1.65/1.36 tff(2073,plain,
% 1.65/1.36 (![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2072, 2068])).
% 1.65/1.36 tff(2074,plain,(
% 1.65/1.36 ![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2073])).
% 1.65/1.36 tff(2075,plain,
% 1.65/1.36 (![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2074, 2067])).
% 1.65/1.36 tff(2076,plain,
% 1.65/1.36 (((~![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))) | (semillonorsauvignonblanc(kalincellarssemillon) | (~semillon(kalincellarssemillon)))) <=> ((~![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))) | semillonorsauvignonblanc(kalincellarssemillon) | (~semillon(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2077,plain,
% 1.65/1.36 ((~![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))) | (semillonorsauvignonblanc(kalincellarssemillon) | (~semillon(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2078,plain,
% 1.65/1.36 ((~![X: $i] : (semillonorsauvignonblanc(X) | (~semillon(X)))) | semillonorsauvignonblanc(kalincellarssemillon) | (~semillon(kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 1.65/1.36 tff(2079,plain,
% 1.65/1.36 (semillonorsauvignonblanc(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2078, 2075, 2018])).
% 1.65/1.36 tff(2080,plain,
% 1.65/1.36 (^[X: $i] : refl((q12(X) | (~semillonorsauvignonblanc(X))) <=> (q12(X) | (~semillonorsauvignonblanc(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2081,plain,
% 1.65/1.36 (![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X))) <=> ![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2080])).
% 1.65/1.36 tff(2082,plain,
% 1.65/1.36 (![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X))) <=> ![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2083,plain,
% 1.65/1.36 (^[X: $i] : rewrite((semillonorsauvignonblanc(X) => q12(X)) <=> (q12(X) | (~semillonorsauvignonblanc(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2084,plain,
% 1.65/1.36 (![X: $i] : (semillonorsauvignonblanc(X) => q12(X)) <=> ![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2083])).
% 1.65/1.36 tff(2085,axiom,(![X: $i] : (semillonorsauvignonblanc(X) => q12(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula145')).
% 1.65/1.36 tff(2086,plain,
% 1.65/1.36 (![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 1.65/1.36 tff(2087,plain,
% 1.65/1.36 (![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2086, 2082])).
% 1.65/1.36 tff(2088,plain,(
% 1.65/1.36 ![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2087])).
% 1.65/1.36 tff(2089,plain,
% 1.65/1.36 (![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2088, 2081])).
% 1.65/1.36 tff(2090,plain,
% 1.65/1.36 (((~![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))) | (q12(kalincellarssemillon) | (~semillonorsauvignonblanc(kalincellarssemillon)))) <=> ((~![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))) | q12(kalincellarssemillon) | (~semillonorsauvignonblanc(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2091,plain,
% 1.65/1.36 ((~![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))) | (q12(kalincellarssemillon) | (~semillonorsauvignonblanc(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2092,plain,
% 1.65/1.36 ((~![X: $i] : (q12(X) | (~semillonorsauvignonblanc(X)))) | q12(kalincellarssemillon) | (~semillonorsauvignonblanc(kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 1.65/1.36 tff(2093,plain,
% 1.65/1.36 (q12(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2092, 2089, 2079])).
% 1.65/1.36 tff(2094,plain,
% 1.65/1.36 (((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(kalincellarssemillon)) | (~q12(kalincellarssemillon)) | ot____nom5(kalincellarssemillon))) <=> ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | (~q12(kalincellarssemillon)) | ot____nom5(kalincellarssemillon))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2095,plain,
% 1.65/1.36 ((ot____nom5(kalincellarssemillon) | (~q12(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon))) <=> ((~kaon2namedobjects(kalincellarssemillon)) | (~q12(kalincellarssemillon)) | ot____nom5(kalincellarssemillon))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2096,plain,
% 1.65/1.36 (((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (ot____nom5(kalincellarssemillon) | (~q12(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))) <=> ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(kalincellarssemillon)) | (~q12(kalincellarssemillon)) | ot____nom5(kalincellarssemillon)))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[2095])).
% 1.65/1.36 tff(2097,plain,
% 1.65/1.36 (((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (ot____nom5(kalincellarssemillon) | (~q12(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))) <=> ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | (~q12(kalincellarssemillon)) | ot____nom5(kalincellarssemillon))),
% 1.65/1.36 inference(transitivity,[status(thm)],[2096, 2094])).
% 1.65/1.36 tff(2098,plain,
% 1.65/1.36 ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (ot____nom5(kalincellarssemillon) | (~q12(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2099,plain,
% 1.65/1.36 ((~![X: $i] : (ot____nom5(X) | (~q12(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | (~q12(kalincellarssemillon)) | ot____nom5(kalincellarssemillon)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 1.65/1.36 tff(2100,plain,
% 1.65/1.36 ((~q12(kalincellarssemillon)) | ot____nom5(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2099, 2034, 1777])).
% 1.65/1.36 tff(2101,plain,
% 1.65/1.36 (ot____nom5(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2100, 2093])).
% 1.65/1.36 tff(2102,plain,
% 1.65/1.36 (((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(kalincellarssemillon)) | (~wine(kalincellarssemillon)) | hascolor(kalincellarssemillon, kalincellarssemillon))) <=> ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | (~wine(kalincellarssemillon)) | hascolor(kalincellarssemillon, kalincellarssemillon))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2103,plain,
% 1.65/1.36 ((hascolor(kalincellarssemillon, kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon))) <=> ((~kaon2namedobjects(kalincellarssemillon)) | (~wine(kalincellarssemillon)) | hascolor(kalincellarssemillon, kalincellarssemillon))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2104,plain,
% 1.65/1.36 (((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hascolor(kalincellarssemillon, kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))) <=> ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(kalincellarssemillon)) | (~wine(kalincellarssemillon)) | hascolor(kalincellarssemillon, kalincellarssemillon)))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[2103])).
% 1.65/1.36 tff(2105,plain,
% 1.65/1.36 (((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hascolor(kalincellarssemillon, kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))) <=> ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | (~wine(kalincellarssemillon)) | hascolor(kalincellarssemillon, kalincellarssemillon))),
% 1.65/1.36 inference(transitivity,[status(thm)],[2104, 2102])).
% 1.65/1.36 tff(2106,plain,
% 1.65/1.36 ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (hascolor(kalincellarssemillon, kalincellarssemillon) | (~wine(kalincellarssemillon)) | (~kaon2namedobjects(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2107,plain,
% 1.65/1.36 ((~![X: $i] : (hascolor(X, X) | (~wine(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(kalincellarssemillon)) | (~wine(kalincellarssemillon)) | hascolor(kalincellarssemillon, kalincellarssemillon)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2106, 2105])).
% 1.65/1.36 tff(2108,plain,
% 1.65/1.36 ((~wine(kalincellarssemillon)) | hascolor(kalincellarssemillon, kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2107, 2034, 1829])).
% 1.65/1.36 tff(2109,plain,
% 1.65/1.36 (hascolor(kalincellarssemillon, kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2108, 2045])).
% 1.65/1.36 tff(2110,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(kalincellarssemillon) | (~ot____nom5(kalincellarssemillon)) | (~hascolor(kalincellarssemillon, kalincellarssemillon)))) <=> ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | q21(kalincellarssemillon) | (~ot____nom5(kalincellarssemillon)) | (~hascolor(kalincellarssemillon, kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2111,plain,
% 1.65/1.36 ((q21(kalincellarssemillon) | (~hascolor(kalincellarssemillon, kalincellarssemillon)) | (~ot____nom5(kalincellarssemillon))) <=> (q21(kalincellarssemillon) | (~ot____nom5(kalincellarssemillon)) | (~hascolor(kalincellarssemillon, kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2112,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(kalincellarssemillon) | (~hascolor(kalincellarssemillon, kalincellarssemillon)) | (~ot____nom5(kalincellarssemillon)))) <=> ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(kalincellarssemillon) | (~ot____nom5(kalincellarssemillon)) | (~hascolor(kalincellarssemillon, kalincellarssemillon))))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[2111])).
% 1.65/1.36 tff(2113,plain,
% 1.65/1.36 (((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(kalincellarssemillon) | (~hascolor(kalincellarssemillon, kalincellarssemillon)) | (~ot____nom5(kalincellarssemillon)))) <=> ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | q21(kalincellarssemillon) | (~ot____nom5(kalincellarssemillon)) | (~hascolor(kalincellarssemillon, kalincellarssemillon)))),
% 1.65/1.36 inference(transitivity,[status(thm)],[2112, 2110])).
% 1.65/1.36 tff(2114,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | (q21(kalincellarssemillon) | (~hascolor(kalincellarssemillon, kalincellarssemillon)) | (~ot____nom5(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2115,plain,
% 1.65/1.36 ((~![X: $i, Y: $i] : (q21(X) | (~hascolor(X, Y)) | (~ot____nom5(Y)))) | q21(kalincellarssemillon) | (~ot____nom5(kalincellarssemillon)) | (~hascolor(kalincellarssemillon, kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 1.65/1.36 tff(2116,plain,
% 1.65/1.36 (q21(kalincellarssemillon) | (~ot____nom5(kalincellarssemillon))),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2115, 1850, 2109])).
% 1.65/1.36 tff(2117,plain,
% 1.65/1.36 (q21(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2116, 2101])).
% 1.65/1.36 tff(2118,plain,
% 1.65/1.36 (^[X: $i] : refl((whitetablewine(X) | (~tablewine(X)) | (~q21(X))) <=> (whitetablewine(X) | (~tablewine(X)) | (~q21(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2119,plain,
% 1.65/1.36 (![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X))) <=> ![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2118])).
% 1.65/1.36 tff(2120,plain,
% 1.65/1.36 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q21(X) & tablewine(X)) <=> (~((~q21(X)) | (~tablewine(X))))), ((~(q21(X) & tablewine(X))) <=> (~(~((~q21(X)) | (~tablewine(X))))))), rewrite((~(~((~q21(X)) | (~tablewine(X))))) <=> ((~q21(X)) | (~tablewine(X)))), ((~(q21(X) & tablewine(X))) <=> ((~q21(X)) | (~tablewine(X))))), ((whitetablewine(X) | (~(q21(X) & tablewine(X)))) <=> (whitetablewine(X) | ((~q21(X)) | (~tablewine(X)))))), rewrite((whitetablewine(X) | ((~q21(X)) | (~tablewine(X)))) <=> (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))), ((whitetablewine(X) | (~(q21(X) & tablewine(X)))) <=> (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2121,plain,
% 1.65/1.36 (![X: $i] : (whitetablewine(X) | (~(q21(X) & tablewine(X)))) <=> ![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2120])).
% 1.65/1.36 tff(2122,plain,
% 1.65/1.36 (![X: $i] : (whitetablewine(X) | (~(q21(X) & tablewine(X)))) <=> ![X: $i] : (whitetablewine(X) | (~(q21(X) & tablewine(X))))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2123,plain,
% 1.65/1.36 (^[X: $i] : rewrite(((q21(X) & tablewine(X)) => whitetablewine(X)) <=> (whitetablewine(X) | (~(q21(X) & tablewine(X)))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2124,plain,
% 1.65/1.36 (![X: $i] : ((q21(X) & tablewine(X)) => whitetablewine(X)) <=> ![X: $i] : (whitetablewine(X) | (~(q21(X) & tablewine(X))))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2123])).
% 1.65/1.36 tff(2125,axiom,(![X: $i] : ((q21(X) & tablewine(X)) => whitetablewine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula581')).
% 1.65/1.36 tff(2126,plain,
% 1.65/1.36 (![X: $i] : (whitetablewine(X) | (~(q21(X) & tablewine(X))))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 1.65/1.36 tff(2127,plain,
% 1.65/1.36 (![X: $i] : (whitetablewine(X) | (~(q21(X) & tablewine(X))))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2126, 2122])).
% 1.65/1.36 tff(2128,plain,(
% 1.65/1.36 ![X: $i] : (whitetablewine(X) | (~(q21(X) & tablewine(X))))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2127])).
% 1.65/1.36 tff(2129,plain,
% 1.65/1.36 (![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2128, 2121])).
% 1.65/1.36 tff(2130,plain,
% 1.65/1.36 (![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2129, 2119])).
% 1.65/1.36 tff(2131,plain,
% 1.65/1.36 (((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | ((~q21(kalincellarssemillon)) | whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)))) <=> ((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | (~q21(kalincellarssemillon)) | whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2132,plain,
% 1.65/1.36 ((whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)) | (~q21(kalincellarssemillon))) <=> ((~q21(kalincellarssemillon)) | whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2133,plain,
% 1.65/1.36 (((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | (whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)) | (~q21(kalincellarssemillon)))) <=> ((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | ((~q21(kalincellarssemillon)) | whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon))))),
% 1.65/1.36 inference(monotonicity,[status(thm)],[2132])).
% 1.65/1.36 tff(2134,plain,
% 1.65/1.36 (((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | (whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)) | (~q21(kalincellarssemillon)))) <=> ((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | (~q21(kalincellarssemillon)) | whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)))),
% 1.65/1.36 inference(transitivity,[status(thm)],[2133, 2131])).
% 1.65/1.36 tff(2135,plain,
% 1.65/1.36 ((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | (whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon)) | (~q21(kalincellarssemillon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2136,plain,
% 1.65/1.36 ((~![X: $i] : (whitetablewine(X) | (~tablewine(X)) | (~q21(X)))) | (~q21(kalincellarssemillon)) | whitetablewine(kalincellarssemillon) | (~tablewine(kalincellarssemillon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2135, 2134])).
% 1.65/1.36 tff(2137,plain,
% 1.65/1.36 (whitetablewine(kalincellarssemillon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2136, 2130, 2117, 2065])).
% 1.65/1.36 tff(2138,assumption,(![X: $i] : (~whitetablewine(X))), introduced(assumption)).
% 1.65/1.36 tff(2139,plain,
% 1.65/1.36 ((~![X: $i] : (~whitetablewine(X))) | (~whitetablewine(kalincellarssemillon))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2140,plain,
% 1.65/1.36 ($false),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2139, 2138, 2137])).
% 1.65/1.36 tff(2141,plain,(~![X: $i] : (~whitetablewine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.36 tff(2142,assumption,(![X: $i] : (~whitewine(X))), introduced(assumption)).
% 1.65/1.36 tff(2143,plain,
% 1.65/1.36 ((~![X: $i] : (~whitewine(X))) | (~whitewine(stgenevievetexaswhite))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2144,plain,
% 1.65/1.36 ($false),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2143, 2142, 486])).
% 1.65/1.36 tff(2145,plain,(~![X: $i] : (~whitewine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.36 tff(2146,plain,
% 1.65/1.36 (^[X: $i] : refl((cabernetsauvignon(X) | (~cabernetsauvignon_aux(X))) <=> (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2147,plain,
% 1.65/1.36 (![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X))) <=> ![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2146])).
% 1.65/1.36 tff(2148,plain,
% 1.65/1.36 (![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X))) <=> ![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2149,plain,
% 1.65/1.36 (^[X: $i] : rewrite((cabernetsauvignon_aux(X) => cabernetsauvignon(X)) <=> (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2150,plain,
% 1.65/1.36 (![X: $i] : (cabernetsauvignon_aux(X) => cabernetsauvignon(X)) <=> ![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2149])).
% 1.65/1.36 tff(2151,axiom,(![X: $i] : (cabernetsauvignon_aux(X) => cabernetsauvignon(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula82')).
% 1.65/1.36 tff(2152,plain,
% 1.65/1.36 (![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 1.65/1.36 tff(2153,plain,
% 1.65/1.36 (![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2152, 2148])).
% 1.65/1.36 tff(2154,plain,(
% 1.65/1.36 ![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2153])).
% 1.65/1.36 tff(2155,plain,
% 1.65/1.36 (![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2154, 2147])).
% 1.65/1.36 tff(2156,plain,
% 1.65/1.36 (cabernetsauvignon_aux(formancabernetsauvignon) <=> cabernetsauvignon_aux(formancabernetsauvignon)),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2157,axiom,(cabernetsauvignon_aux(formancabernetsauvignon)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula420')).
% 1.65/1.36 tff(2158,plain,
% 1.65/1.36 (cabernetsauvignon_aux(formancabernetsauvignon)),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 1.65/1.36 tff(2159,plain,
% 1.65/1.36 (((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | (cabernetsauvignon(formancabernetsauvignon) | (~cabernetsauvignon_aux(formancabernetsauvignon)))) <=> ((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | cabernetsauvignon(formancabernetsauvignon) | (~cabernetsauvignon_aux(formancabernetsauvignon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2160,plain,
% 1.65/1.36 ((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | (cabernetsauvignon(formancabernetsauvignon) | (~cabernetsauvignon_aux(formancabernetsauvignon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2161,plain,
% 1.65/1.36 ((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | cabernetsauvignon(formancabernetsauvignon) | (~cabernetsauvignon_aux(formancabernetsauvignon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 1.65/1.36 tff(2162,plain,
% 1.65/1.36 (cabernetsauvignon(formancabernetsauvignon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2161, 2158, 2155])).
% 1.65/1.36 tff(2163,plain,
% 1.65/1.36 (^[X: $i] : refl((wine(X) | (~cabernetsauvignon(X))) <=> (wine(X) | (~cabernetsauvignon(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2164,plain,
% 1.65/1.36 (![X: $i] : (wine(X) | (~cabernetsauvignon(X))) <=> ![X: $i] : (wine(X) | (~cabernetsauvignon(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2163])).
% 1.65/1.36 tff(2165,plain,
% 1.65/1.36 (![X: $i] : (wine(X) | (~cabernetsauvignon(X))) <=> ![X: $i] : (wine(X) | (~cabernetsauvignon(X)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2166,plain,
% 1.65/1.36 (^[X: $i] : rewrite((cabernetsauvignon(X) => wine(X)) <=> (wine(X) | (~cabernetsauvignon(X))))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2167,plain,
% 1.65/1.36 (![X: $i] : (cabernetsauvignon(X) => wine(X)) <=> ![X: $i] : (wine(X) | (~cabernetsauvignon(X)))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2166])).
% 1.65/1.36 tff(2168,axiom,(![X: $i] : (cabernetsauvignon(X) => wine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula635')).
% 1.65/1.36 tff(2169,plain,
% 1.65/1.36 (![X: $i] : (wine(X) | (~cabernetsauvignon(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2168, 2167])).
% 1.65/1.36 tff(2170,plain,
% 1.65/1.36 (![X: $i] : (wine(X) | (~cabernetsauvignon(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2169, 2165])).
% 1.65/1.36 tff(2171,plain,(
% 1.65/1.36 ![X: $i] : (wine(X) | (~cabernetsauvignon(X)))),
% 1.65/1.36 inference(skolemize,[status(sab)],[2170])).
% 1.65/1.36 tff(2172,plain,
% 1.65/1.36 (![X: $i] : (wine(X) | (~cabernetsauvignon(X)))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2171, 2164])).
% 1.65/1.36 tff(2173,plain,
% 1.65/1.36 (((~![X: $i] : (wine(X) | (~cabernetsauvignon(X)))) | (wine(formancabernetsauvignon) | (~cabernetsauvignon(formancabernetsauvignon)))) <=> ((~![X: $i] : (wine(X) | (~cabernetsauvignon(X)))) | wine(formancabernetsauvignon) | (~cabernetsauvignon(formancabernetsauvignon)))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2174,plain,
% 1.65/1.36 ((~![X: $i] : (wine(X) | (~cabernetsauvignon(X)))) | (wine(formancabernetsauvignon) | (~cabernetsauvignon(formancabernetsauvignon)))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2175,plain,
% 1.65/1.36 ((~![X: $i] : (wine(X) | (~cabernetsauvignon(X)))) | wine(formancabernetsauvignon) | (~cabernetsauvignon(formancabernetsauvignon))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2174, 2173])).
% 1.65/1.36 tff(2176,plain,
% 1.65/1.36 (wine(formancabernetsauvignon)),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2175, 2172, 2162])).
% 1.65/1.36 tff(2177,assumption,(![X: $i] : (~wine(X))), introduced(assumption)).
% 1.65/1.36 tff(2178,plain,
% 1.65/1.36 ((~![X: $i] : (~wine(X))) | (~wine(formancabernetsauvignon))),
% 1.65/1.36 inference(quant_inst,[status(thm)],[])).
% 1.65/1.36 tff(2179,plain,
% 1.65/1.36 ($false),
% 1.65/1.36 inference(unit_resolution,[status(thm)],[2178, 2177, 2176])).
% 1.65/1.36 tff(2180,plain,(~![X: $i] : (~wine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.36 tff(2181,plain,
% 1.65/1.36 (^[X: $i, Y: $i] : refl(((~hasflavor_aux(X, Y)) | hasflavor(X, Y)) <=> ((~hasflavor_aux(X, Y)) | hasflavor(X, Y)))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2182,plain,
% 1.65/1.36 (![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y)) <=> ![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2181])).
% 1.65/1.36 tff(2183,plain,
% 1.65/1.36 (![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y)) <=> ![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))),
% 1.65/1.36 inference(rewrite,[status(thm)],[])).
% 1.65/1.36 tff(2184,plain,
% 1.65/1.36 (^[X: $i, Y: $i] : rewrite((hasflavor_aux(X, Y) => hasflavor(X, Y)) <=> ((~hasflavor_aux(X, Y)) | hasflavor(X, Y)))),
% 1.65/1.36 inference(bind,[status(th)],[])).
% 1.65/1.36 tff(2185,plain,
% 1.65/1.36 (![X: $i, Y: $i] : (hasflavor_aux(X, Y) => hasflavor(X, Y)) <=> ![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))),
% 1.65/1.36 inference(quant_intro,[status(thm)],[2184])).
% 1.65/1.36 tff(2186,axiom,(![X: $i, Y: $i] : (hasflavor_aux(X, Y) => hasflavor(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula5')).
% 1.65/1.36 tff(2187,plain,
% 1.65/1.36 (![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 1.65/1.36 tff(2188,plain,
% 1.65/1.36 (![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))),
% 1.65/1.36 inference(modus_ponens,[status(thm)],[2187, 2183])).
% 1.65/1.37 tff(2189,plain,(
% 1.65/1.37 ![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2188])).
% 1.65/1.37 tff(2190,plain,
% 1.65/1.37 (![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2189, 2182])).
% 1.65/1.37 tff(2191,plain,
% 1.65/1.37 (hasflavor_aux(pulignymontrachetwhiteburgundy, moderate) <=> hasflavor_aux(pulignymontrachetwhiteburgundy, moderate)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2192,axiom,(hasflavor_aux(pulignymontrachetwhiteburgundy, moderate)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula43')).
% 1.65/1.37 tff(2193,plain,
% 1.65/1.37 (hasflavor_aux(pulignymontrachetwhiteburgundy, moderate)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 1.65/1.37 tff(2194,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))) | ((~hasflavor_aux(pulignymontrachetwhiteburgundy, moderate)) | hasflavor(pulignymontrachetwhiteburgundy, moderate))) <=> ((~![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))) | (~hasflavor_aux(pulignymontrachetwhiteburgundy, moderate)) | hasflavor(pulignymontrachetwhiteburgundy, moderate))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2195,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))) | ((~hasflavor_aux(pulignymontrachetwhiteburgundy, moderate)) | hasflavor(pulignymontrachetwhiteburgundy, moderate))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2196,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hasflavor_aux(X, Y)) | hasflavor(X, Y))) | (~hasflavor_aux(pulignymontrachetwhiteburgundy, moderate)) | hasflavor(pulignymontrachetwhiteburgundy, moderate)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 1.65/1.37 tff(2197,plain,
% 1.65/1.37 (hasflavor(pulignymontrachetwhiteburgundy, moderate)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2196, 2193, 2190])).
% 1.65/1.37 tff(2198,assumption,(![Y: $i, X: $i] : (~hasflavor(X, Y))), introduced(assumption)).
% 1.65/1.37 tff(2199,plain,
% 1.65/1.37 ((~![Y: $i, X: $i] : (~hasflavor(X, Y))) | (~hasflavor(pulignymontrachetwhiteburgundy, moderate))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2200,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2199, 2198, 2197])).
% 1.65/1.37 tff(2201,plain,(~![Y: $i, X: $i] : (~hasflavor(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2202,plain,
% 1.65/1.37 (^[X: $i, Y: $i] : refl(((~hascolor_aux(X, Y)) | hascolor(X, Y)) <=> ((~hascolor_aux(X, Y)) | hascolor(X, Y)))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2203,plain,
% 1.65/1.37 (![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y)) <=> ![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2202])).
% 1.65/1.37 tff(2204,plain,
% 1.65/1.37 (![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y)) <=> ![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2205,plain,
% 1.65/1.37 (^[X: $i, Y: $i] : rewrite((hascolor_aux(X, Y) => hascolor(X, Y)) <=> ((~hascolor_aux(X, Y)) | hascolor(X, Y)))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2206,plain,
% 1.65/1.37 (![X: $i, Y: $i] : (hascolor_aux(X, Y) => hascolor(X, Y)) <=> ![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2205])).
% 1.65/1.37 tff(2207,axiom,(![X: $i, Y: $i] : (hascolor_aux(X, Y) => hascolor(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula6')).
% 1.65/1.37 tff(2208,plain,
% 1.65/1.37 (![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 1.65/1.37 tff(2209,plain,
% 1.65/1.37 (![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2208, 2204])).
% 1.65/1.37 tff(2210,plain,(
% 1.65/1.37 ![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2209])).
% 1.65/1.37 tff(2211,plain,
% 1.65/1.37 (![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2210, 2203])).
% 1.65/1.37 tff(2212,plain,
% 1.65/1.37 (hascolor_aux(selaksicewine, white) <=> hascolor_aux(selaksicewine, white)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2213,axiom,(hascolor_aux(selaksicewine, white)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula42')).
% 1.65/1.37 tff(2214,plain,
% 1.65/1.37 (hascolor_aux(selaksicewine, white)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 1.65/1.37 tff(2215,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))) | ((~hascolor_aux(selaksicewine, white)) | hascolor(selaksicewine, white))) <=> ((~![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))) | (~hascolor_aux(selaksicewine, white)) | hascolor(selaksicewine, white))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2216,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))) | ((~hascolor_aux(selaksicewine, white)) | hascolor(selaksicewine, white))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2217,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hascolor_aux(X, Y)) | hascolor(X, Y))) | (~hascolor_aux(selaksicewine, white)) | hascolor(selaksicewine, white)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2216, 2215])).
% 1.65/1.37 tff(2218,plain,
% 1.65/1.37 (hascolor(selaksicewine, white)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2217, 2214, 2211])).
% 1.65/1.37 tff(2219,assumption,(![Y: $i, X: $i] : (~hascolor(X, Y))), introduced(assumption)).
% 1.65/1.37 tff(2220,plain,
% 1.65/1.37 ((~![Y: $i, X: $i] : (~hascolor(X, Y))) | (~hascolor(selaksicewine, white))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2221,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2220, 2219, 2218])).
% 1.65/1.37 tff(2222,plain,(~![Y: $i, X: $i] : (~hascolor(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2223,plain,
% 1.65/1.37 (^[X: $i] : refl((winebody(X) | (~winebody_aux(X))) <=> (winebody(X) | (~winebody_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2224,plain,
% 1.65/1.37 (![X: $i] : (winebody(X) | (~winebody_aux(X))) <=> ![X: $i] : (winebody(X) | (~winebody_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2223])).
% 1.65/1.37 tff(2225,plain,
% 1.65/1.37 (![X: $i] : (winebody(X) | (~winebody_aux(X))) <=> ![X: $i] : (winebody(X) | (~winebody_aux(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2226,plain,
% 1.65/1.37 (^[X: $i] : rewrite((winebody_aux(X) => winebody(X)) <=> (winebody(X) | (~winebody_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2227,plain,
% 1.65/1.37 (![X: $i] : (winebody_aux(X) => winebody(X)) <=> ![X: $i] : (winebody(X) | (~winebody_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2226])).
% 1.65/1.37 tff(2228,axiom,(![X: $i] : (winebody_aux(X) => winebody(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula111')).
% 1.65/1.37 tff(2229,plain,
% 1.65/1.37 (![X: $i] : (winebody(X) | (~winebody_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 1.65/1.37 tff(2230,plain,
% 1.65/1.37 (![X: $i] : (winebody(X) | (~winebody_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2229, 2225])).
% 1.65/1.37 tff(2231,plain,(
% 1.65/1.37 ![X: $i] : (winebody(X) | (~winebody_aux(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2230])).
% 1.65/1.37 tff(2232,plain,
% 1.65/1.37 (![X: $i] : (winebody(X) | (~winebody_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2231, 2224])).
% 1.65/1.37 tff(2233,plain,
% 1.65/1.37 (winebody_aux(light) <=> winebody_aux(light)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2234,axiom,(winebody_aux(light)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula401')).
% 1.65/1.37 tff(2235,plain,
% 1.65/1.37 (winebody_aux(light)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2234, 2233])).
% 1.65/1.37 tff(2236,plain,
% 1.65/1.37 (((~![X: $i] : (winebody(X) | (~winebody_aux(X)))) | (winebody(light) | (~winebody_aux(light)))) <=> ((~![X: $i] : (winebody(X) | (~winebody_aux(X)))) | winebody(light) | (~winebody_aux(light)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2237,plain,
% 1.65/1.37 ((~![X: $i] : (winebody(X) | (~winebody_aux(X)))) | (winebody(light) | (~winebody_aux(light)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2238,plain,
% 1.65/1.37 ((~![X: $i] : (winebody(X) | (~winebody_aux(X)))) | winebody(light) | (~winebody_aux(light))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 1.65/1.37 tff(2239,plain,
% 1.65/1.37 (winebody(light)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2238, 2235, 2232])).
% 1.65/1.37 tff(2240,assumption,(![X: $i] : (~winebody(X))), introduced(assumption)).
% 1.65/1.37 tff(2241,plain,
% 1.65/1.37 ((~![X: $i] : (~winebody(X))) | (~winebody(light))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2242,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2241, 2240, 2239])).
% 1.65/1.37 tff(2243,plain,(~![X: $i] : (~winebody(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2244,plain,
% 1.65/1.37 (^[X: $i] : refl((winetaste(X) | (~winesugar(X))) <=> (winetaste(X) | (~winesugar(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2245,plain,
% 1.65/1.37 (![X: $i] : (winetaste(X) | (~winesugar(X))) <=> ![X: $i] : (winetaste(X) | (~winesugar(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2244])).
% 1.65/1.37 tff(2246,plain,
% 1.65/1.37 (![X: $i] : (winetaste(X) | (~winesugar(X))) <=> ![X: $i] : (winetaste(X) | (~winesugar(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2247,plain,
% 1.65/1.37 (^[X: $i] : rewrite((winesugar(X) => winetaste(X)) <=> (winetaste(X) | (~winesugar(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2248,plain,
% 1.65/1.37 (![X: $i] : (winesugar(X) => winetaste(X)) <=> ![X: $i] : (winetaste(X) | (~winesugar(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2247])).
% 1.65/1.37 tff(2249,axiom,(![X: $i] : (winesugar(X) => winetaste(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula668')).
% 1.65/1.37 tff(2250,plain,
% 1.65/1.37 (![X: $i] : (winetaste(X) | (~winesugar(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2249, 2248])).
% 1.65/1.37 tff(2251,plain,
% 1.65/1.37 (![X: $i] : (winetaste(X) | (~winesugar(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2250, 2246])).
% 1.65/1.37 tff(2252,plain,(
% 1.65/1.37 ![X: $i] : (winetaste(X) | (~winesugar(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2251])).
% 1.65/1.37 tff(2253,plain,
% 1.65/1.37 (![X: $i] : (winetaste(X) | (~winesugar(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2252, 2245])).
% 1.65/1.37 tff(2254,plain,
% 1.65/1.37 (((~![X: $i] : (winetaste(X) | (~winesugar(X)))) | (winetaste(sweet) | (~winesugar(sweet)))) <=> ((~![X: $i] : (winetaste(X) | (~winesugar(X)))) | winetaste(sweet) | (~winesugar(sweet)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2255,plain,
% 1.65/1.37 ((~![X: $i] : (winetaste(X) | (~winesugar(X)))) | (winetaste(sweet) | (~winesugar(sweet)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2256,plain,
% 1.65/1.37 ((~![X: $i] : (winetaste(X) | (~winesugar(X)))) | winetaste(sweet) | (~winesugar(sweet))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2255, 2254])).
% 1.65/1.37 tff(2257,plain,
% 1.65/1.37 (winetaste(sweet)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2256, 2253, 993])).
% 1.65/1.37 tff(2258,assumption,(![X: $i] : (~winetaste(X))), introduced(assumption)).
% 1.65/1.37 tff(2259,plain,
% 1.65/1.37 ((~![X: $i] : (~winetaste(X))) | (~winetaste(sweet))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2260,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2259, 2258, 2257])).
% 1.65/1.37 tff(2261,plain,(~![X: $i] : (~winetaste(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2262,plain,
% 1.65/1.37 (^[X: $i] : refl((zinfandel(X) | (~zinfandel_aux(X))) <=> (zinfandel(X) | (~zinfandel_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2263,plain,
% 1.65/1.37 (![X: $i] : (zinfandel(X) | (~zinfandel_aux(X))) <=> ![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2262])).
% 1.65/1.37 tff(2264,plain,
% 1.65/1.37 (![X: $i] : (zinfandel(X) | (~zinfandel_aux(X))) <=> ![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2265,plain,
% 1.65/1.37 (^[X: $i] : rewrite((zinfandel_aux(X) => zinfandel(X)) <=> (zinfandel(X) | (~zinfandel_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2266,plain,
% 1.65/1.37 (![X: $i] : (zinfandel_aux(X) => zinfandel(X)) <=> ![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2265])).
% 1.65/1.37 tff(2267,axiom,(![X: $i] : (zinfandel_aux(X) => zinfandel(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula74')).
% 1.65/1.37 tff(2268,plain,
% 1.65/1.37 (![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 1.65/1.37 tff(2269,plain,
% 1.65/1.37 (![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2268, 2264])).
% 1.65/1.37 tff(2270,plain,(
% 1.65/1.37 ![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2269])).
% 1.65/1.37 tff(2271,plain,
% 1.65/1.37 (![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2270, 2263])).
% 1.65/1.37 tff(2272,plain,
% 1.65/1.37 (zinfandel_aux(elysezinfandel) <=> zinfandel_aux(elysezinfandel)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2273,axiom,(zinfandel_aux(elysezinfandel)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula396')).
% 1.65/1.37 tff(2274,plain,
% 1.65/1.37 (zinfandel_aux(elysezinfandel)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 1.65/1.37 tff(2275,plain,
% 1.65/1.37 (((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | (zinfandel(elysezinfandel) | (~zinfandel_aux(elysezinfandel)))) <=> ((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | zinfandel(elysezinfandel) | (~zinfandel_aux(elysezinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2276,plain,
% 1.65/1.37 ((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | (zinfandel(elysezinfandel) | (~zinfandel_aux(elysezinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2277,plain,
% 1.65/1.37 ((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | zinfandel(elysezinfandel) | (~zinfandel_aux(elysezinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 1.65/1.37 tff(2278,plain,
% 1.65/1.37 (zinfandel(elysezinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2277, 2274, 2271])).
% 1.65/1.37 tff(2279,assumption,(![X: $i] : (~zinfandel(X))), introduced(assumption)).
% 1.65/1.37 tff(2280,plain,
% 1.65/1.37 ((~![X: $i] : (~zinfandel(X))) | (~zinfandel(elysezinfandel))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2281,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2280, 2279, 2278])).
% 1.65/1.37 tff(2282,plain,(~![X: $i] : (~zinfandel(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2283,plain,
% 1.65/1.37 (hasbody_aux(pulignymontrachetwhiteburgundy, medium) <=> hasbody_aux(pulignymontrachetwhiteburgundy, medium)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2284,axiom,(hasbody_aux(pulignymontrachetwhiteburgundy, medium)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula1')).
% 1.65/1.37 tff(2285,plain,
% 1.65/1.37 (hasbody_aux(pulignymontrachetwhiteburgundy, medium)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2284, 2283])).
% 1.65/1.37 tff(2286,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | ((~hasbody_aux(pulignymontrachetwhiteburgundy, medium)) | hasbody(pulignymontrachetwhiteburgundy, medium))) <=> ((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | (~hasbody_aux(pulignymontrachetwhiteburgundy, medium)) | hasbody(pulignymontrachetwhiteburgundy, medium))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2287,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | ((~hasbody_aux(pulignymontrachetwhiteburgundy, medium)) | hasbody(pulignymontrachetwhiteburgundy, medium))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2288,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hasbody_aux(X, Y)) | hasbody(X, Y))) | (~hasbody_aux(pulignymontrachetwhiteburgundy, medium)) | hasbody(pulignymontrachetwhiteburgundy, medium)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 1.65/1.37 tff(2289,plain,
% 1.65/1.37 (hasbody(pulignymontrachetwhiteburgundy, medium)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2288, 2285, 1498])).
% 1.65/1.37 tff(2290,assumption,(![Y: $i, X: $i] : (~hasbody(X, Y))), introduced(assumption)).
% 1.65/1.37 tff(2291,plain,
% 1.65/1.37 ((~![Y: $i, X: $i] : (~hasbody(X, Y))) | (~hasbody(pulignymontrachetwhiteburgundy, medium))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2292,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2291, 2290, 2289])).
% 1.65/1.37 tff(2293,plain,(~![Y: $i, X: $i] : (~hasbody(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2294,plain,
% 1.65/1.37 (hassugar_aux(cotturizinfandel, dry) <=> hassugar_aux(cotturizinfandel, dry)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2295,axiom,(hassugar_aux(cotturizinfandel, dry)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula154')).
% 1.65/1.37 tff(2296,plain,
% 1.65/1.37 (hassugar_aux(cotturizinfandel, dry)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 1.65/1.37 tff(2297,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(cotturizinfandel, dry)) | hassugar(cotturizinfandel, dry))) <=> ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(cotturizinfandel, dry)) | hassugar(cotturizinfandel, dry))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2298,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | ((~hassugar_aux(cotturizinfandel, dry)) | hassugar(cotturizinfandel, dry))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2299,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : ((~hassugar_aux(X, Y)) | hassugar(X, Y))) | (~hassugar_aux(cotturizinfandel, dry)) | hassugar(cotturizinfandel, dry)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 1.65/1.37 tff(2300,plain,
% 1.65/1.37 (hassugar(cotturizinfandel, dry)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2299, 2296, 136])).
% 1.65/1.37 tff(2301,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | ((~ot____nom12(dry)) | (~hassugar(cotturizinfandel, dry)) | q46(cotturizinfandel))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(cotturizinfandel, dry)) | q46(cotturizinfandel))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2302,plain,
% 1.65/1.37 ((q46(cotturizinfandel) | (~hassugar(cotturizinfandel, dry)) | (~ot____nom12(dry))) <=> ((~ot____nom12(dry)) | (~hassugar(cotturizinfandel, dry)) | q46(cotturizinfandel))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2303,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(cotturizinfandel) | (~hassugar(cotturizinfandel, dry)) | (~ot____nom12(dry)))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | ((~ot____nom12(dry)) | (~hassugar(cotturizinfandel, dry)) | q46(cotturizinfandel)))),
% 1.65/1.37 inference(monotonicity,[status(thm)],[2302])).
% 1.65/1.37 tff(2304,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(cotturizinfandel) | (~hassugar(cotturizinfandel, dry)) | (~ot____nom12(dry)))) <=> ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(cotturizinfandel, dry)) | q46(cotturizinfandel))),
% 1.65/1.37 inference(transitivity,[status(thm)],[2303, 2301])).
% 1.65/1.37 tff(2305,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (q46(cotturizinfandel) | (~hassugar(cotturizinfandel, dry)) | (~ot____nom12(dry)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2306,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : (q46(X) | (~hassugar(X, Y)) | (~ot____nom12(Y)))) | (~ot____nom12(dry)) | (~hassugar(cotturizinfandel, dry)) | q46(cotturizinfandel)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 1.65/1.37 tff(2307,plain,
% 1.65/1.37 (q46(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2306, 1567, 2300, 1547])).
% 1.65/1.37 tff(2308,plain,
% 1.65/1.37 (zinfandel_aux(cotturizinfandel) <=> zinfandel_aux(cotturizinfandel)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2309,axiom,(zinfandel_aux(cotturizinfandel)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula397')).
% 1.65/1.37 tff(2310,plain,
% 1.65/1.37 (zinfandel_aux(cotturizinfandel)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 1.65/1.37 tff(2311,plain,
% 1.65/1.37 (((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | (zinfandel(cotturizinfandel) | (~zinfandel_aux(cotturizinfandel)))) <=> ((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | zinfandel(cotturizinfandel) | (~zinfandel_aux(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2312,plain,
% 1.65/1.37 ((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | (zinfandel(cotturizinfandel) | (~zinfandel_aux(cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2313,plain,
% 1.65/1.37 ((~![X: $i] : (zinfandel(X) | (~zinfandel_aux(X)))) | zinfandel(cotturizinfandel) | (~zinfandel_aux(cotturizinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 1.65/1.37 tff(2314,plain,
% 1.65/1.37 (zinfandel(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2313, 2310, 2271])).
% 1.65/1.37 tff(2315,plain,
% 1.65/1.37 (^[X: $i] : refl((madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X))) <=> (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2316,plain,
% 1.65/1.37 (![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2315])).
% 1.65/1.37 tff(2317,plain,
% 1.65/1.37 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((zinfandel(X) & kaon2namedobjects(X)) <=> (~((~zinfandel(X)) | (~kaon2namedobjects(X))))), ((~(zinfandel(X) & kaon2namedobjects(X))) <=> (~(~((~zinfandel(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~zinfandel(X)) | (~kaon2namedobjects(X))))) <=> ((~zinfandel(X)) | (~kaon2namedobjects(X)))), ((~(zinfandel(X) & kaon2namedobjects(X))) <=> ((~zinfandel(X)) | (~kaon2namedobjects(X))))), (((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (((~zinfandel(X)) | (~kaon2namedobjects(X))) | madefromgrape(X, X)))), rewrite((((~zinfandel(X)) | (~kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))), (((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2318,plain,
% 1.65/1.37 (![X: $i] : ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> ![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2317])).
% 1.65/1.37 tff(2319,plain,
% 1.65/1.37 (![X: $i] : ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X)) <=> ![X: $i] : ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2320,plain,
% 1.65/1.37 (^[X: $i] : rewrite(((zinfandel(X) & kaon2namedobjects(X)) => madefromgrape(X, X)) <=> ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X)))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2321,plain,
% 1.65/1.37 (![X: $i] : ((zinfandel(X) & kaon2namedobjects(X)) => madefromgrape(X, X)) <=> ![X: $i] : ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2320])).
% 1.65/1.37 tff(2322,axiom,(![X: $i] : ((zinfandel(X) & kaon2namedobjects(X)) => madefromgrape(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula900')).
% 1.65/1.37 tff(2323,plain,
% 1.65/1.37 (![X: $i] : ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 1.65/1.37 tff(2324,plain,
% 1.65/1.37 (![X: $i] : ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2323, 2319])).
% 1.65/1.37 tff(2325,plain,(
% 1.65/1.37 ![X: $i] : ((~(zinfandel(X) & kaon2namedobjects(X))) | madefromgrape(X, X))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2324])).
% 1.65/1.37 tff(2326,plain,
% 1.65/1.37 (![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2325, 2318])).
% 1.65/1.37 tff(2327,plain,
% 1.65/1.37 (![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2326, 2316])).
% 1.65/1.37 tff(2328,plain,
% 1.65/1.37 (kaon2namedobjects(cotturizinfandel) <=> kaon2namedobjects(cotturizinfandel)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2329,axiom,(kaon2namedobjects(cotturizinfandel)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula513')).
% 1.65/1.37 tff(2330,plain,
% 1.65/1.37 (kaon2namedobjects(cotturizinfandel)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 1.65/1.37 tff(2331,plain,
% 1.65/1.37 (((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(cotturizinfandel)) | madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(cotturizinfandel)) | madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2332,plain,
% 1.65/1.37 ((madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)) | (~kaon2namedobjects(cotturizinfandel))) <=> ((~kaon2namedobjects(cotturizinfandel)) | madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2333,plain,
% 1.65/1.37 (((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)) | (~kaon2namedobjects(cotturizinfandel)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(cotturizinfandel)) | madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel))))),
% 1.65/1.37 inference(monotonicity,[status(thm)],[2332])).
% 1.65/1.37 tff(2334,plain,
% 1.65/1.37 (((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)) | (~kaon2namedobjects(cotturizinfandel)))) <=> ((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(cotturizinfandel)) | madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)))),
% 1.65/1.37 inference(transitivity,[status(thm)],[2333, 2331])).
% 1.65/1.37 tff(2335,plain,
% 1.65/1.37 ((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | (madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel)) | (~kaon2namedobjects(cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2336,plain,
% 1.65/1.37 ((~![X: $i] : (madefromgrape(X, X) | (~zinfandel(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(cotturizinfandel)) | madefromgrape(cotturizinfandel, cotturizinfandel) | (~zinfandel(cotturizinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 1.65/1.37 tff(2337,plain,
% 1.65/1.37 (madefromgrape(cotturizinfandel, cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2336, 2330, 2327, 2314])).
% 1.65/1.37 tff(2338,plain,
% 1.65/1.37 (((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(cotturizinfandel) | (~madefromgrape(cotturizinfandel, cotturizinfandel)))) <=> ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(cotturizinfandel) | (~madefromgrape(cotturizinfandel, cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2339,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | (wine(cotturizinfandel) | (~madefromgrape(cotturizinfandel, cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2340,plain,
% 1.65/1.37 ((~![X: $i, Y: $i] : (wine(X) | (~madefromgrape(X, Y)))) | wine(cotturizinfandel) | (~madefromgrape(cotturizinfandel, cotturizinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 1.65/1.37 tff(2341,plain,
% 1.65/1.37 (wine(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2340, 296, 2337])).
% 1.65/1.37 tff(2342,plain,
% 1.65/1.37 (((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | ((~wine(cotturizinfandel)) | (~q46(cotturizinfandel)) | drywine(cotturizinfandel))) <=> ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (~wine(cotturizinfandel)) | (~q46(cotturizinfandel)) | drywine(cotturizinfandel))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2343,plain,
% 1.65/1.37 ((drywine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q46(cotturizinfandel))) <=> ((~wine(cotturizinfandel)) | (~q46(cotturizinfandel)) | drywine(cotturizinfandel))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2344,plain,
% 1.65/1.37 (((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (drywine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q46(cotturizinfandel)))) <=> ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | ((~wine(cotturizinfandel)) | (~q46(cotturizinfandel)) | drywine(cotturizinfandel)))),
% 1.65/1.37 inference(monotonicity,[status(thm)],[2343])).
% 1.65/1.37 tff(2345,plain,
% 1.65/1.37 (((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (drywine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q46(cotturizinfandel)))) <=> ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (~wine(cotturizinfandel)) | (~q46(cotturizinfandel)) | drywine(cotturizinfandel))),
% 1.65/1.37 inference(transitivity,[status(thm)],[2344, 2342])).
% 1.65/1.37 tff(2346,plain,
% 1.65/1.37 ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (drywine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q46(cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2347,plain,
% 1.65/1.37 ((~![X: $i] : (drywine(X) | (~wine(X)) | (~q46(X)))) | (~wine(cotturizinfandel)) | (~q46(cotturizinfandel)) | drywine(cotturizinfandel)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 1.65/1.37 tff(2348,plain,
% 1.65/1.37 (drywine(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2347, 1587, 2341, 2307])).
% 1.65/1.37 tff(2349,plain,
% 1.65/1.37 (^[X: $i] : refl((q0(X) | (~zinfandel(X))) <=> (q0(X) | (~zinfandel(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2350,plain,
% 1.65/1.37 (![X: $i] : (q0(X) | (~zinfandel(X))) <=> ![X: $i] : (q0(X) | (~zinfandel(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2349])).
% 1.65/1.37 tff(2351,plain,
% 1.65/1.37 (![X: $i] : (q0(X) | (~zinfandel(X))) <=> ![X: $i] : (q0(X) | (~zinfandel(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2352,plain,
% 1.65/1.37 (^[X: $i] : rewrite((zinfandel(X) => q0(X)) <=> (q0(X) | (~zinfandel(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2353,plain,
% 1.65/1.37 (![X: $i] : (zinfandel(X) => q0(X)) <=> ![X: $i] : (q0(X) | (~zinfandel(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2352])).
% 1.65/1.37 tff(2354,axiom,(![X: $i] : (zinfandel(X) => q0(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula118')).
% 1.65/1.37 tff(2355,plain,
% 1.65/1.37 (![X: $i] : (q0(X) | (~zinfandel(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 1.65/1.37 tff(2356,plain,
% 1.65/1.37 (![X: $i] : (q0(X) | (~zinfandel(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2355, 2351])).
% 1.65/1.37 tff(2357,plain,(
% 1.65/1.37 ![X: $i] : (q0(X) | (~zinfandel(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2356])).
% 1.65/1.37 tff(2358,plain,
% 1.65/1.37 (![X: $i] : (q0(X) | (~zinfandel(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2357, 2350])).
% 1.65/1.37 tff(2359,plain,
% 1.65/1.37 (((~![X: $i] : (q0(X) | (~zinfandel(X)))) | (q0(cotturizinfandel) | (~zinfandel(cotturizinfandel)))) <=> ((~![X: $i] : (q0(X) | (~zinfandel(X)))) | q0(cotturizinfandel) | (~zinfandel(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2360,plain,
% 1.65/1.37 ((~![X: $i] : (q0(X) | (~zinfandel(X)))) | (q0(cotturizinfandel) | (~zinfandel(cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2361,plain,
% 1.65/1.37 ((~![X: $i] : (q0(X) | (~zinfandel(X)))) | q0(cotturizinfandel) | (~zinfandel(cotturizinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 1.65/1.37 tff(2362,plain,
% 1.65/1.37 (q0(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2361, 2358, 2314])).
% 1.65/1.37 tff(2363,plain,
% 1.65/1.37 (((~![X: $i] : (q41(X) | (~q0(X)))) | (q41(cotturizinfandel) | (~q0(cotturizinfandel)))) <=> ((~![X: $i] : (q41(X) | (~q0(X)))) | q41(cotturizinfandel) | (~q0(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2364,plain,
% 1.65/1.37 ((~![X: $i] : (q41(X) | (~q0(X)))) | (q41(cotturizinfandel) | (~q0(cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2365,plain,
% 1.65/1.37 ((~![X: $i] : (q41(X) | (~q0(X)))) | q41(cotturizinfandel) | (~q0(cotturizinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2364, 2363])).
% 1.65/1.37 tff(2366,plain,
% 1.65/1.37 (q41(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2365, 742, 2362])).
% 1.65/1.37 tff(2367,plain,
% 1.65/1.37 (((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | ((~wine(cotturizinfandel)) | redwine(cotturizinfandel) | (~q41(cotturizinfandel)))) <=> ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (~wine(cotturizinfandel)) | redwine(cotturizinfandel) | (~q41(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2368,plain,
% 1.65/1.37 ((redwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q41(cotturizinfandel))) <=> ((~wine(cotturizinfandel)) | redwine(cotturizinfandel) | (~q41(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2369,plain,
% 1.65/1.37 (((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (redwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q41(cotturizinfandel)))) <=> ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | ((~wine(cotturizinfandel)) | redwine(cotturizinfandel) | (~q41(cotturizinfandel))))),
% 1.65/1.37 inference(monotonicity,[status(thm)],[2368])).
% 1.65/1.37 tff(2370,plain,
% 1.65/1.37 (((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (redwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q41(cotturizinfandel)))) <=> ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (~wine(cotturizinfandel)) | redwine(cotturizinfandel) | (~q41(cotturizinfandel)))),
% 1.65/1.37 inference(transitivity,[status(thm)],[2369, 2367])).
% 1.65/1.37 tff(2371,plain,
% 1.65/1.37 ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (redwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q41(cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2372,plain,
% 1.65/1.37 ((~![X: $i] : (redwine(X) | (~wine(X)) | (~q41(X)))) | (~wine(cotturizinfandel)) | redwine(cotturizinfandel) | (~q41(cotturizinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2371, 2370])).
% 1.65/1.37 tff(2373,plain,
% 1.65/1.37 (redwine(cotturizinfandel) | (~q41(cotturizinfandel))),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2372, 773, 2341])).
% 1.65/1.37 tff(2374,plain,
% 1.65/1.37 (redwine(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2373, 2366])).
% 1.65/1.37 tff(2375,plain,
% 1.65/1.37 (^[X: $i] : refl((dryredwine(X) | (~redwine(X)) | (~drywine(X))) <=> (dryredwine(X) | (~redwine(X)) | (~drywine(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2376,plain,
% 1.65/1.37 (![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X))) <=> ![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2375])).
% 1.65/1.37 tff(2377,plain,
% 1.65/1.37 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((drywine(X) & redwine(X)) <=> (~((~drywine(X)) | (~redwine(X))))), ((~(drywine(X) & redwine(X))) <=> (~(~((~drywine(X)) | (~redwine(X))))))), rewrite((~(~((~drywine(X)) | (~redwine(X))))) <=> ((~drywine(X)) | (~redwine(X)))), ((~(drywine(X) & redwine(X))) <=> ((~drywine(X)) | (~redwine(X))))), ((dryredwine(X) | (~(drywine(X) & redwine(X)))) <=> (dryredwine(X) | ((~drywine(X)) | (~redwine(X)))))), rewrite((dryredwine(X) | ((~drywine(X)) | (~redwine(X)))) <=> (dryredwine(X) | (~redwine(X)) | (~drywine(X)))), ((dryredwine(X) | (~(drywine(X) & redwine(X)))) <=> (dryredwine(X) | (~redwine(X)) | (~drywine(X)))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2378,plain,
% 1.65/1.37 (![X: $i] : (dryredwine(X) | (~(drywine(X) & redwine(X)))) <=> ![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2377])).
% 1.65/1.37 tff(2379,plain,
% 1.65/1.37 (![X: $i] : (dryredwine(X) | (~(drywine(X) & redwine(X)))) <=> ![X: $i] : (dryredwine(X) | (~(drywine(X) & redwine(X))))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2380,plain,
% 1.65/1.37 (^[X: $i] : rewrite(((drywine(X) & redwine(X)) => dryredwine(X)) <=> (dryredwine(X) | (~(drywine(X) & redwine(X)))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2381,plain,
% 1.65/1.37 (![X: $i] : ((drywine(X) & redwine(X)) => dryredwine(X)) <=> ![X: $i] : (dryredwine(X) | (~(drywine(X) & redwine(X))))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2380])).
% 1.65/1.37 tff(2382,axiom,(![X: $i] : ((drywine(X) & redwine(X)) => dryredwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula448')).
% 1.65/1.37 tff(2383,plain,
% 1.65/1.37 (![X: $i] : (dryredwine(X) | (~(drywine(X) & redwine(X))))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2382, 2381])).
% 1.65/1.37 tff(2384,plain,
% 1.65/1.37 (![X: $i] : (dryredwine(X) | (~(drywine(X) & redwine(X))))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2383, 2379])).
% 1.65/1.37 tff(2385,plain,(
% 1.65/1.37 ![X: $i] : (dryredwine(X) | (~(drywine(X) & redwine(X))))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2384])).
% 1.65/1.37 tff(2386,plain,
% 1.65/1.37 (![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2385, 2378])).
% 1.65/1.37 tff(2387,plain,
% 1.65/1.37 (![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2386, 2376])).
% 1.65/1.37 tff(2388,plain,
% 1.65/1.37 (((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | ((~redwine(cotturizinfandel)) | dryredwine(cotturizinfandel) | (~drywine(cotturizinfandel)))) <=> ((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | (~redwine(cotturizinfandel)) | dryredwine(cotturizinfandel) | (~drywine(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2389,plain,
% 1.65/1.37 ((dryredwine(cotturizinfandel) | (~redwine(cotturizinfandel)) | (~drywine(cotturizinfandel))) <=> ((~redwine(cotturizinfandel)) | dryredwine(cotturizinfandel) | (~drywine(cotturizinfandel)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2390,plain,
% 1.65/1.37 (((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | (dryredwine(cotturizinfandel) | (~redwine(cotturizinfandel)) | (~drywine(cotturizinfandel)))) <=> ((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | ((~redwine(cotturizinfandel)) | dryredwine(cotturizinfandel) | (~drywine(cotturizinfandel))))),
% 1.65/1.37 inference(monotonicity,[status(thm)],[2389])).
% 1.65/1.37 tff(2391,plain,
% 1.65/1.37 (((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | (dryredwine(cotturizinfandel) | (~redwine(cotturizinfandel)) | (~drywine(cotturizinfandel)))) <=> ((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | (~redwine(cotturizinfandel)) | dryredwine(cotturizinfandel) | (~drywine(cotturizinfandel)))),
% 1.65/1.37 inference(transitivity,[status(thm)],[2390, 2388])).
% 1.65/1.37 tff(2392,plain,
% 1.65/1.37 ((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | (dryredwine(cotturizinfandel) | (~redwine(cotturizinfandel)) | (~drywine(cotturizinfandel)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2393,plain,
% 1.65/1.37 ((~![X: $i] : (dryredwine(X) | (~redwine(X)) | (~drywine(X)))) | (~redwine(cotturizinfandel)) | dryredwine(cotturizinfandel) | (~drywine(cotturizinfandel))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 1.65/1.37 tff(2394,plain,
% 1.65/1.37 (dryredwine(cotturizinfandel)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2393, 2387, 2374, 2348])).
% 1.65/1.37 tff(2395,assumption,(![X: $i] : (~dryredwine(X))), introduced(assumption)).
% 1.65/1.37 tff(2396,plain,
% 1.65/1.37 ((~![X: $i] : (~dryredwine(X))) | (~dryredwine(cotturizinfandel))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2397,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2396, 2395, 2394])).
% 1.65/1.37 tff(2398,plain,(~![X: $i] : (~dryredwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2399,plain,
% 1.65/1.37 (^[X: $i] : refl((dryriesling(X) | (~dryriesling_aux(X))) <=> (dryriesling(X) | (~dryriesling_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2400,plain,
% 1.65/1.37 (![X: $i] : (dryriesling(X) | (~dryriesling_aux(X))) <=> ![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2399])).
% 1.65/1.37 tff(2401,plain,
% 1.65/1.37 (![X: $i] : (dryriesling(X) | (~dryriesling_aux(X))) <=> ![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2402,plain,
% 1.65/1.37 (^[X: $i] : rewrite((dryriesling_aux(X) => dryriesling(X)) <=> (dryriesling(X) | (~dryriesling_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2403,plain,
% 1.65/1.37 (![X: $i] : (dryriesling_aux(X) => dryriesling(X)) <=> ![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2402])).
% 1.65/1.37 tff(2404,axiom,(![X: $i] : (dryriesling_aux(X) => dryriesling(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula88')).
% 1.65/1.37 tff(2405,plain,
% 1.65/1.37 (![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2404, 2403])).
% 1.65/1.37 tff(2406,plain,
% 1.65/1.37 (![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2405, 2401])).
% 1.65/1.37 tff(2407,plain,(
% 1.65/1.37 ![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2406])).
% 1.65/1.37 tff(2408,plain,
% 1.65/1.37 (![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2407, 2400])).
% 1.65/1.37 tff(2409,plain,
% 1.65/1.37 (dryriesling_aux(mountadamriesling) <=> dryriesling_aux(mountadamriesling)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2410,axiom,(dryriesling_aux(mountadamriesling)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula415')).
% 1.65/1.37 tff(2411,plain,
% 1.65/1.37 (dryriesling_aux(mountadamriesling)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2410, 2409])).
% 1.65/1.37 tff(2412,plain,
% 1.65/1.37 (((~![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))) | (dryriesling(mountadamriesling) | (~dryriesling_aux(mountadamriesling)))) <=> ((~![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))) | dryriesling(mountadamriesling) | (~dryriesling_aux(mountadamriesling)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2413,plain,
% 1.65/1.37 ((~![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))) | (dryriesling(mountadamriesling) | (~dryriesling_aux(mountadamriesling)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2414,plain,
% 1.65/1.37 ((~![X: $i] : (dryriesling(X) | (~dryriesling_aux(X)))) | dryriesling(mountadamriesling) | (~dryriesling_aux(mountadamriesling))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 1.65/1.37 tff(2415,plain,
% 1.65/1.37 (dryriesling(mountadamriesling)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2414, 2411, 2408])).
% 1.65/1.37 tff(2416,assumption,(![X: $i] : (~dryriesling(X))), introduced(assumption)).
% 1.65/1.37 tff(2417,plain,
% 1.65/1.37 ((~![X: $i] : (~dryriesling(X))) | (~dryriesling(mountadamriesling))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2418,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2417, 2416, 2415])).
% 1.65/1.37 tff(2419,plain,(~![X: $i] : (~dryriesling(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2420,plain,
% 1.65/1.37 (^[X: $i] : refl((sauvignonblanc(X) | (~sauvignonblanc_aux(X))) <=> (sauvignonblanc(X) | (~sauvignonblanc_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2421,plain,
% 1.65/1.37 (![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X))) <=> ![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2420])).
% 1.65/1.37 tff(2422,plain,
% 1.65/1.37 (![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X))) <=> ![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2423,plain,
% 1.65/1.37 (^[X: $i] : rewrite((sauvignonblanc_aux(X) => sauvignonblanc(X)) <=> (sauvignonblanc(X) | (~sauvignonblanc_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2424,plain,
% 1.65/1.37 (![X: $i] : (sauvignonblanc_aux(X) => sauvignonblanc(X)) <=> ![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2423])).
% 1.65/1.37 tff(2425,axiom,(![X: $i] : (sauvignonblanc_aux(X) => sauvignonblanc(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula104')).
% 1.65/1.37 tff(2426,plain,
% 1.65/1.37 (![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2425, 2424])).
% 1.65/1.37 tff(2427,plain,
% 1.65/1.37 (![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2426, 2422])).
% 1.65/1.37 tff(2428,plain,(
% 1.65/1.37 ![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2427])).
% 1.65/1.37 tff(2429,plain,
% 1.65/1.37 (![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2428, 2421])).
% 1.65/1.37 tff(2430,plain,
% 1.65/1.37 (sauvignonblanc_aux(corbansprivatebinsauvignonblanc) <=> sauvignonblanc_aux(corbansprivatebinsauvignonblanc)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2431,axiom,(sauvignonblanc_aux(corbansprivatebinsauvignonblanc)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula482')).
% 1.65/1.37 tff(2432,plain,
% 1.65/1.37 (sauvignonblanc_aux(corbansprivatebinsauvignonblanc)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2431, 2430])).
% 1.65/1.37 tff(2433,plain,
% 1.65/1.37 (((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | (sauvignonblanc(corbansprivatebinsauvignonblanc) | (~sauvignonblanc_aux(corbansprivatebinsauvignonblanc)))) <=> ((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | sauvignonblanc(corbansprivatebinsauvignonblanc) | (~sauvignonblanc_aux(corbansprivatebinsauvignonblanc)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2434,plain,
% 1.65/1.37 ((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | (sauvignonblanc(corbansprivatebinsauvignonblanc) | (~sauvignonblanc_aux(corbansprivatebinsauvignonblanc)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2435,plain,
% 1.65/1.37 ((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | sauvignonblanc(corbansprivatebinsauvignonblanc) | (~sauvignonblanc_aux(corbansprivatebinsauvignonblanc))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 1.65/1.37 tff(2436,plain,
% 1.65/1.37 (sauvignonblanc(corbansprivatebinsauvignonblanc)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2435, 2432, 2429])).
% 1.65/1.37 tff(2437,assumption,(![X: $i] : (~sauvignonblanc(X))), introduced(assumption)).
% 1.65/1.37 tff(2438,plain,
% 1.65/1.37 ((~![X: $i] : (~sauvignonblanc(X))) | (~sauvignonblanc(corbansprivatebinsauvignonblanc))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2439,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2438, 2437, 2436])).
% 1.65/1.37 tff(2440,plain,(~![X: $i] : (~sauvignonblanc(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2441,plain,
% 1.65/1.37 (semillon_aux(congressspringssemillon) <=> semillon_aux(congressspringssemillon)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2442,axiom,(semillon_aux(congressspringssemillon)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula486')).
% 1.65/1.37 tff(2443,plain,
% 1.65/1.37 (semillon_aux(congressspringssemillon)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 1.65/1.37 tff(2444,plain,
% 1.65/1.37 (((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | (semillon(congressspringssemillon) | (~semillon_aux(congressspringssemillon)))) <=> ((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | semillon(congressspringssemillon) | (~semillon_aux(congressspringssemillon)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2445,plain,
% 1.65/1.37 ((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | (semillon(congressspringssemillon) | (~semillon_aux(congressspringssemillon)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2446,plain,
% 1.65/1.37 ((~![X: $i] : (semillon(X) | (~semillon_aux(X)))) | semillon(congressspringssemillon) | (~semillon_aux(congressspringssemillon))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 1.65/1.37 tff(2447,plain,
% 1.65/1.37 (semillon(congressspringssemillon)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2446, 2443, 2011])).
% 1.65/1.37 tff(2448,assumption,(![X: $i] : (~semillon(X))), introduced(assumption)).
% 1.65/1.37 tff(2449,plain,
% 1.65/1.37 ((~![X: $i] : (~semillon(X))) | (~semillon(congressspringssemillon))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2450,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2449, 2448, 2447])).
% 1.65/1.37 tff(2451,plain,(~![X: $i] : (~semillon(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2452,plain,
% 1.65/1.37 (sauvignonblanc_aux(corbanssauvignonblanc) <=> sauvignonblanc_aux(corbanssauvignonblanc)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2453,axiom,(sauvignonblanc_aux(corbanssauvignonblanc)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula483')).
% 1.65/1.37 tff(2454,plain,
% 1.65/1.37 (sauvignonblanc_aux(corbanssauvignonblanc)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 1.65/1.37 tff(2455,plain,
% 1.65/1.37 (((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | (sauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc_aux(corbanssauvignonblanc)))) <=> ((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | sauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc_aux(corbanssauvignonblanc)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2456,plain,
% 1.65/1.37 ((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | (sauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc_aux(corbanssauvignonblanc)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2457,plain,
% 1.65/1.37 ((~![X: $i] : (sauvignonblanc(X) | (~sauvignonblanc_aux(X)))) | sauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc_aux(corbanssauvignonblanc))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2456, 2455])).
% 1.65/1.37 tff(2458,plain,
% 1.65/1.37 (sauvignonblanc(corbanssauvignonblanc)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2457, 2454, 2429])).
% 1.65/1.37 tff(2459,plain,
% 1.65/1.37 (^[X: $i] : refl((semillonorsauvignonblanc(X) | (~sauvignonblanc(X))) <=> (semillonorsauvignonblanc(X) | (~sauvignonblanc(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2460,plain,
% 1.65/1.37 (![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X))) <=> ![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2459])).
% 1.65/1.37 tff(2461,plain,
% 1.65/1.37 (![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X))) <=> ![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2462,plain,
% 1.65/1.37 (^[X: $i] : rewrite((sauvignonblanc(X) => semillonorsauvignonblanc(X)) <=> (semillonorsauvignonblanc(X) | (~sauvignonblanc(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2463,plain,
% 1.65/1.37 (![X: $i] : (sauvignonblanc(X) => semillonorsauvignonblanc(X)) <=> ![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2462])).
% 1.65/1.37 tff(2464,axiom,(![X: $i] : (sauvignonblanc(X) => semillonorsauvignonblanc(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula548')).
% 1.65/1.37 tff(2465,plain,
% 1.65/1.37 (![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 1.65/1.37 tff(2466,plain,
% 1.65/1.37 (![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2465, 2461])).
% 1.65/1.37 tff(2467,plain,(
% 1.65/1.37 ![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2466])).
% 1.65/1.37 tff(2468,plain,
% 1.65/1.37 (![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2467, 2460])).
% 1.65/1.37 tff(2469,plain,
% 1.65/1.37 (((~![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))) | (semillonorsauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc(corbanssauvignonblanc)))) <=> ((~![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))) | semillonorsauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc(corbanssauvignonblanc)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2470,plain,
% 1.65/1.37 ((~![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))) | (semillonorsauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc(corbanssauvignonblanc)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2471,plain,
% 1.65/1.37 ((~![X: $i] : (semillonorsauvignonblanc(X) | (~sauvignonblanc(X)))) | semillonorsauvignonblanc(corbanssauvignonblanc) | (~sauvignonblanc(corbanssauvignonblanc))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 1.65/1.37 tff(2472,plain,
% 1.65/1.37 (semillonorsauvignonblanc(corbanssauvignonblanc)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2471, 2468, 2458])).
% 1.65/1.37 tff(2473,assumption,(![X: $i] : (~semillonorsauvignonblanc(X))), introduced(assumption)).
% 1.65/1.37 tff(2474,plain,
% 1.65/1.37 ((~![X: $i] : (~semillonorsauvignonblanc(X))) | (~semillonorsauvignonblanc(corbanssauvignonblanc))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2475,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2474, 2473, 2472])).
% 1.65/1.37 tff(2476,plain,(~![X: $i] : (~semillonorsauvignonblanc(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2477,plain,
% 1.65/1.37 (^[X: $i] : refl((dessertwine(X) | (~dessertwine_aux(X))) <=> (dessertwine(X) | (~dessertwine_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2478,plain,
% 1.65/1.37 (![X: $i] : (dessertwine(X) | (~dessertwine_aux(X))) <=> ![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2477])).
% 1.65/1.37 tff(2479,plain,
% 1.65/1.37 (![X: $i] : (dessertwine(X) | (~dessertwine_aux(X))) <=> ![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2480,plain,
% 1.65/1.37 (^[X: $i] : rewrite((dessertwine_aux(X) => dessertwine(X)) <=> (dessertwine(X) | (~dessertwine_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2481,plain,
% 1.65/1.37 (![X: $i] : (dessertwine_aux(X) => dessertwine(X)) <=> ![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2480])).
% 1.65/1.37 tff(2482,axiom,(![X: $i] : (dessertwine_aux(X) => dessertwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula87')).
% 1.65/1.37 tff(2483,plain,
% 1.65/1.37 (![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 1.65/1.37 tff(2484,plain,
% 1.65/1.37 (![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2483, 2479])).
% 1.65/1.37 tff(2485,plain,(
% 1.65/1.37 ![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2484])).
% 1.65/1.37 tff(2486,plain,
% 1.65/1.37 (![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2485, 2478])).
% 1.65/1.37 tff(2487,plain,
% 1.65/1.37 (dessertwine_aux(whitehalllaneprimavera) <=> dessertwine_aux(whitehalllaneprimavera)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2488,axiom,(dessertwine_aux(whitehalllaneprimavera)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula416')).
% 1.65/1.37 tff(2489,plain,
% 1.65/1.37 (dessertwine_aux(whitehalllaneprimavera)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2488, 2487])).
% 1.65/1.37 tff(2490,plain,
% 1.65/1.37 (((~![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))) | (dessertwine(whitehalllaneprimavera) | (~dessertwine_aux(whitehalllaneprimavera)))) <=> ((~![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))) | dessertwine(whitehalllaneprimavera) | (~dessertwine_aux(whitehalllaneprimavera)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2491,plain,
% 1.65/1.37 ((~![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))) | (dessertwine(whitehalllaneprimavera) | (~dessertwine_aux(whitehalllaneprimavera)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2492,plain,
% 1.65/1.37 ((~![X: $i] : (dessertwine(X) | (~dessertwine_aux(X)))) | dessertwine(whitehalllaneprimavera) | (~dessertwine_aux(whitehalllaneprimavera))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2491, 2490])).
% 1.65/1.37 tff(2493,plain,
% 1.65/1.37 (dessertwine(whitehalllaneprimavera)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2492, 2489, 2486])).
% 1.65/1.37 tff(2494,assumption,(![X: $i] : (~dessertwine(X))), introduced(assumption)).
% 1.65/1.37 tff(2495,plain,
% 1.65/1.37 ((~![X: $i] : (~dessertwine(X))) | (~dessertwine(whitehalllaneprimavera))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2496,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2495, 2494, 2493])).
% 1.65/1.37 tff(2497,plain,(~![X: $i] : (~dessertwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2498,assumption,(![X: $i] : (~cotesdor(X))), introduced(assumption)).
% 1.65/1.37 tff(2499,plain,
% 1.65/1.37 ((~![X: $i] : (~cotesdor(X))) | (~cotesdor(closdevougeotcotesdor))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2500,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2499, 2498, 662])).
% 1.65/1.37 tff(2501,plain,(~![X: $i] : (~cotesdor(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2502,assumption,(![X: $i] : (~chianti(X))), introduced(assumption)).
% 1.65/1.37 tff(2503,plain,
% 1.65/1.37 ((~![X: $i] : (~chianti(X))) | (~chianti(chianticlassico))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2504,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2503, 2502, 1257])).
% 1.65/1.37 tff(2505,plain,(~![X: $i] : (~chianti(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2506,plain,
% 1.65/1.37 (^[X: $i] : refl((cheninblanc(X) | (~cheninblanc_aux(X))) <=> (cheninblanc(X) | (~cheninblanc_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2507,plain,
% 1.65/1.37 (![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X))) <=> ![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2506])).
% 1.65/1.37 tff(2508,plain,
% 1.65/1.37 (![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X))) <=> ![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2509,plain,
% 1.65/1.37 (^[X: $i] : rewrite((cheninblanc_aux(X) => cheninblanc(X)) <=> (cheninblanc(X) | (~cheninblanc_aux(X))))),
% 1.65/1.37 inference(bind,[status(th)],[])).
% 1.65/1.37 tff(2510,plain,
% 1.65/1.37 (![X: $i] : (cheninblanc_aux(X) => cheninblanc(X)) <=> ![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))),
% 1.65/1.37 inference(quant_intro,[status(thm)],[2509])).
% 1.65/1.37 tff(2511,axiom,(![X: $i] : (cheninblanc_aux(X) => cheninblanc(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula84')).
% 1.65/1.37 tff(2512,plain,
% 1.65/1.37 (![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 1.65/1.37 tff(2513,plain,
% 1.65/1.37 (![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2512, 2508])).
% 1.65/1.37 tff(2514,plain,(
% 1.65/1.37 ![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))),
% 1.65/1.37 inference(skolemize,[status(sab)],[2513])).
% 1.65/1.37 tff(2515,plain,
% 1.65/1.37 (![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2514, 2507])).
% 1.65/1.37 tff(2516,plain,
% 1.65/1.37 (cheninblanc_aux(foxencheninblanc) <=> cheninblanc_aux(foxencheninblanc)),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2517,axiom,(cheninblanc_aux(foxencheninblanc)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula429')).
% 1.65/1.37 tff(2518,plain,
% 1.65/1.37 (cheninblanc_aux(foxencheninblanc)),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 1.65/1.37 tff(2519,plain,
% 1.65/1.37 (((~![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))) | (cheninblanc(foxencheninblanc) | (~cheninblanc_aux(foxencheninblanc)))) <=> ((~![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))) | cheninblanc(foxencheninblanc) | (~cheninblanc_aux(foxencheninblanc)))),
% 1.65/1.37 inference(rewrite,[status(thm)],[])).
% 1.65/1.37 tff(2520,plain,
% 1.65/1.37 ((~![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))) | (cheninblanc(foxencheninblanc) | (~cheninblanc_aux(foxencheninblanc)))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2521,plain,
% 1.65/1.37 ((~![X: $i] : (cheninblanc(X) | (~cheninblanc_aux(X)))) | cheninblanc(foxencheninblanc) | (~cheninblanc_aux(foxencheninblanc))),
% 1.65/1.37 inference(modus_ponens,[status(thm)],[2520, 2519])).
% 1.65/1.37 tff(2522,plain,
% 1.65/1.37 (cheninblanc(foxencheninblanc)),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2521, 2518, 2515])).
% 1.65/1.37 tff(2523,assumption,(![X: $i] : (~cheninblanc(X))), introduced(assumption)).
% 1.65/1.37 tff(2524,plain,
% 1.65/1.37 ((~![X: $i] : (~cheninblanc(X))) | (~cheninblanc(foxencheninblanc))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2525,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2524, 2523, 2522])).
% 1.65/1.37 tff(2526,plain,(~![X: $i] : (~cheninblanc(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.37 tff(2527,assumption,(![X: $i] : (~chardonnay(X))), introduced(assumption)).
% 1.65/1.37 tff(2528,plain,
% 1.65/1.37 ((~![X: $i] : (~chardonnay(X))) | (~chardonnay(formanchardonnay))),
% 1.65/1.37 inference(quant_inst,[status(thm)],[])).
% 1.65/1.37 tff(2529,plain,
% 1.65/1.37 ($false),
% 1.65/1.37 inference(unit_resolution,[status(thm)],[2528, 2527, 1457])).
% 1.65/1.37 tff(2530,plain,(~![X: $i] : (~chardonnay(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2531,plain,
% 1.65/1.38 (cabernetsauvignon_aux(mariettacabernetsauvignon) <=> cabernetsauvignon_aux(mariettacabernetsauvignon)),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2532,axiom,(cabernetsauvignon_aux(mariettacabernetsauvignon)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula417')).
% 1.65/1.38 tff(2533,plain,
% 1.65/1.38 (cabernetsauvignon_aux(mariettacabernetsauvignon)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2532, 2531])).
% 1.65/1.38 tff(2534,plain,
% 1.65/1.38 (((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | (cabernetsauvignon(mariettacabernetsauvignon) | (~cabernetsauvignon_aux(mariettacabernetsauvignon)))) <=> ((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | cabernetsauvignon(mariettacabernetsauvignon) | (~cabernetsauvignon_aux(mariettacabernetsauvignon)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2535,plain,
% 1.65/1.38 ((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | (cabernetsauvignon(mariettacabernetsauvignon) | (~cabernetsauvignon_aux(mariettacabernetsauvignon)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2536,plain,
% 1.65/1.38 ((~![X: $i] : (cabernetsauvignon(X) | (~cabernetsauvignon_aux(X)))) | cabernetsauvignon(mariettacabernetsauvignon) | (~cabernetsauvignon_aux(mariettacabernetsauvignon))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 1.65/1.38 tff(2537,plain,
% 1.65/1.38 (cabernetsauvignon(mariettacabernetsauvignon)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2536, 2533, 2155])).
% 1.65/1.38 tff(2538,assumption,(![X: $i] : (~cabernetsauvignon(X))), introduced(assumption)).
% 1.65/1.38 tff(2539,plain,
% 1.65/1.38 ((~![X: $i] : (~cabernetsauvignon(X))) | (~cabernetsauvignon(mariettacabernetsauvignon))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2540,plain,
% 1.65/1.38 ($false),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2539, 2538, 2537])).
% 1.65/1.38 tff(2541,plain,(~![X: $i] : (~cabernetsauvignon(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2542,plain,
% 1.65/1.38 (^[X: $i] : refl((cabernetfranc(X) | (~cabernetfranc_aux(X))) <=> (cabernetfranc(X) | (~cabernetfranc_aux(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2543,plain,
% 1.65/1.38 (![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X))) <=> ![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2542])).
% 1.65/1.38 tff(2544,plain,
% 1.65/1.38 (![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X))) <=> ![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2545,plain,
% 1.65/1.38 (^[X: $i] : rewrite((cabernetfranc_aux(X) => cabernetfranc(X)) <=> (cabernetfranc(X) | (~cabernetfranc_aux(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2546,plain,
% 1.65/1.38 (![X: $i] : (cabernetfranc_aux(X) => cabernetfranc(X)) <=> ![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2545])).
% 1.65/1.38 tff(2547,axiom,(![X: $i] : (cabernetfranc_aux(X) => cabernetfranc(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula81')).
% 1.65/1.38 tff(2548,plain,
% 1.65/1.38 (![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 1.65/1.38 tff(2549,plain,
% 1.65/1.38 (![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2548, 2544])).
% 1.65/1.38 tff(2550,plain,(
% 1.65/1.38 ![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2549])).
% 1.65/1.38 tff(2551,plain,
% 1.65/1.38 (![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2550, 2543])).
% 1.65/1.38 tff(2552,plain,
% 1.65/1.38 (cabernetfranc_aux(whitehalllanecabernetfranc) <=> cabernetfranc_aux(whitehalllanecabernetfranc)),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2553,axiom,(cabernetfranc_aux(whitehalllanecabernetfranc)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula421')).
% 1.65/1.38 tff(2554,plain,
% 1.65/1.38 (cabernetfranc_aux(whitehalllanecabernetfranc)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 1.65/1.38 tff(2555,plain,
% 1.65/1.38 (((~![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))) | (cabernetfranc(whitehalllanecabernetfranc) | (~cabernetfranc_aux(whitehalllanecabernetfranc)))) <=> ((~![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))) | cabernetfranc(whitehalllanecabernetfranc) | (~cabernetfranc_aux(whitehalllanecabernetfranc)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2556,plain,
% 1.65/1.38 ((~![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))) | (cabernetfranc(whitehalllanecabernetfranc) | (~cabernetfranc_aux(whitehalllanecabernetfranc)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2557,plain,
% 1.65/1.38 ((~![X: $i] : (cabernetfranc(X) | (~cabernetfranc_aux(X)))) | cabernetfranc(whitehalllanecabernetfranc) | (~cabernetfranc_aux(whitehalllanecabernetfranc))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 1.65/1.38 tff(2558,plain,
% 1.65/1.38 (cabernetfranc(whitehalllanecabernetfranc)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2557, 2554, 2551])).
% 1.65/1.38 tff(2559,assumption,(![X: $i] : (~cabernetfranc(X))), introduced(assumption)).
% 1.65/1.38 tff(2560,plain,
% 1.65/1.38 ((~![X: $i] : (~cabernetfranc(X))) | (~cabernetfranc(whitehalllanecabernetfranc))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2561,plain,
% 1.65/1.38 ($false),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2560, 2559, 2558])).
% 1.65/1.38 tff(2562,plain,(~![X: $i] : (~cabernetfranc(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2563,assumption,(![X: $i] : (~beaujolais(X))), introduced(assumption)).
% 1.65/1.38 tff(2564,plain,
% 1.65/1.38 ((~![X: $i] : (~beaujolais(X))) | (~beaujolais(chateaumorgonbeaujolais))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2565,plain,
% 1.65/1.38 ($false),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2564, 2563, 1408])).
% 1.65/1.38 tff(2566,plain,(~![X: $i] : (~beaujolais(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2567,assumption,(![X: $i] : (~anjou(X))), introduced(assumption)).
% 1.65/1.38 tff(2568,plain,
% 1.65/1.38 ((~![X: $i] : (~anjou(X))) | (~anjou(rosedanjou))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2569,plain,
% 1.65/1.38 ($false),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2568, 2567, 87])).
% 1.65/1.38 tff(2570,plain,(~![X: $i] : (~anjou(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2571,plain,
% 1.65/1.38 (^[X: $i] : refl((burgundy(X) | (~whiteburgundy(X))) <=> (burgundy(X) | (~whiteburgundy(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2572,plain,
% 1.65/1.38 (![X: $i] : (burgundy(X) | (~whiteburgundy(X))) <=> ![X: $i] : (burgundy(X) | (~whiteburgundy(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2571])).
% 1.65/1.38 tff(2573,plain,
% 1.65/1.38 (![X: $i] : (burgundy(X) | (~whiteburgundy(X))) <=> ![X: $i] : (burgundy(X) | (~whiteburgundy(X)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2574,plain,
% 1.65/1.38 (^[X: $i] : rewrite((whiteburgundy(X) => burgundy(X)) <=> (burgundy(X) | (~whiteburgundy(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2575,plain,
% 1.65/1.38 (![X: $i] : (whiteburgundy(X) => burgundy(X)) <=> ![X: $i] : (burgundy(X) | (~whiteburgundy(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2574])).
% 1.65/1.38 tff(2576,axiom,(![X: $i] : (whiteburgundy(X) => burgundy(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula425')).
% 1.65/1.38 tff(2577,plain,
% 1.65/1.38 (![X: $i] : (burgundy(X) | (~whiteburgundy(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 1.65/1.38 tff(2578,plain,
% 1.65/1.38 (![X: $i] : (burgundy(X) | (~whiteburgundy(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2577, 2573])).
% 1.65/1.38 tff(2579,plain,(
% 1.65/1.38 ![X: $i] : (burgundy(X) | (~whiteburgundy(X)))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2578])).
% 1.65/1.38 tff(2580,plain,
% 1.65/1.38 (![X: $i] : (burgundy(X) | (~whiteburgundy(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2579, 2572])).
% 1.65/1.38 tff(2581,plain,
% 1.65/1.38 (((~![X: $i] : (burgundy(X) | (~whiteburgundy(X)))) | (burgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy(pulignymontrachetwhiteburgundy)))) <=> ((~![X: $i] : (burgundy(X) | (~whiteburgundy(X)))) | burgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy(pulignymontrachetwhiteburgundy)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2582,plain,
% 1.65/1.38 ((~![X: $i] : (burgundy(X) | (~whiteburgundy(X)))) | (burgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy(pulignymontrachetwhiteburgundy)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2583,plain,
% 1.65/1.38 ((~![X: $i] : (burgundy(X) | (~whiteburgundy(X)))) | burgundy(pulignymontrachetwhiteburgundy) | (~whiteburgundy(pulignymontrachetwhiteburgundy))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2582, 2581])).
% 1.65/1.38 tff(2584,plain,
% 1.65/1.38 (burgundy(pulignymontrachetwhiteburgundy)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2583, 2580, 1746])).
% 1.65/1.38 tff(2585,assumption,(![X: $i] : (~burgundy(X))), introduced(assumption)).
% 1.65/1.38 tff(2586,plain,
% 1.65/1.38 ((~![X: $i] : (~burgundy(X))) | (~burgundy(pulignymontrachetwhiteburgundy))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2587,plain,
% 1.65/1.38 ($false),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2586, 2585, 2584])).
% 1.65/1.38 tff(2588,plain,(~![X: $i] : (~burgundy(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2589,assumption,(![X: $i] : (~bordeaux(X))), introduced(assumption)).
% 1.65/1.38 tff(2590,plain,
% 1.65/1.38 ((~![X: $i] : (~bordeaux(X))) | (~bordeaux(chateaudychemsauterne))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2591,plain,
% 1.65/1.38 ($false),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2590, 2589, 1707])).
% 1.65/1.38 tff(2592,plain,(~![X: $i] : (~bordeaux(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2593,plain,
% 1.65/1.38 (^[X: $i] : refl((ot____nom38(X) | (~ot____nom38_aux(X))) <=> (ot____nom38(X) | (~ot____nom38_aux(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2594,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X))) <=> ![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2593])).
% 1.65/1.38 tff(2595,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X))) <=> ![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2596,plain,
% 1.65/1.38 (^[X: $i] : rewrite((ot____nom38_aux(X) => ot____nom38(X)) <=> (ot____nom38(X) | (~ot____nom38_aux(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2597,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38_aux(X) => ot____nom38(X)) <=> ![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2596])).
% 1.65/1.38 tff(2598,axiom,(![X: $i] : (ot____nom38_aux(X) => ot____nom38(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula41')).
% 1.65/1.38 tff(2599,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2598, 2597])).
% 1.65/1.38 tff(2600,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2599, 2595])).
% 1.65/1.38 tff(2601,plain,(
% 1.65/1.38 ![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2600])).
% 1.65/1.38 tff(2602,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2601, 2594])).
% 1.65/1.38 tff(2603,plain,
% 1.65/1.38 (ot____nom38_aux(usregion) <=> ot____nom38_aux(usregion)),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2604,axiom,(ot____nom38_aux(usregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula280')).
% 1.65/1.38 tff(2605,plain,
% 1.65/1.38 (ot____nom38_aux(usregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2604, 2603])).
% 1.65/1.38 tff(2606,plain,
% 1.65/1.38 (((~![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))) | (ot____nom38(usregion) | (~ot____nom38_aux(usregion)))) <=> ((~![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))) | ot____nom38(usregion) | (~ot____nom38_aux(usregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2607,plain,
% 1.65/1.38 ((~![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))) | (ot____nom38(usregion) | (~ot____nom38_aux(usregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2608,plain,
% 1.65/1.38 ((~![X: $i] : (ot____nom38(X) | (~ot____nom38_aux(X)))) | ot____nom38(usregion) | (~ot____nom38_aux(usregion))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 1.65/1.38 tff(2609,plain,
% 1.65/1.38 (ot____nom38(usregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2608, 2605, 2602])).
% 1.65/1.38 tff(2610,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : refl((q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y))) <=> (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2611,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y))) <=> ![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2610])).
% 1.65/1.38 tff(2612,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((locatedin(X, Y) & ot____nom38(Y)) <=> (~((~locatedin(X, Y)) | (~ot____nom38(Y))))), ((~(locatedin(X, Y) & ot____nom38(Y))) <=> (~(~((~locatedin(X, Y)) | (~ot____nom38(Y))))))), rewrite((~(~((~locatedin(X, Y)) | (~ot____nom38(Y))))) <=> ((~locatedin(X, Y)) | (~ot____nom38(Y)))), ((~(locatedin(X, Y) & ot____nom38(Y))) <=> ((~locatedin(X, Y)) | (~ot____nom38(Y))))), ((q27(X) | (~(locatedin(X, Y) & ot____nom38(Y)))) <=> (q27(X) | ((~locatedin(X, Y)) | (~ot____nom38(Y)))))), rewrite((q27(X) | ((~locatedin(X, Y)) | (~ot____nom38(Y)))) <=> (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))), ((q27(X) | (~(locatedin(X, Y) & ot____nom38(Y)))) <=> (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2613,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y)))) <=> ![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2612])).
% 1.65/1.38 tff(2614,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y)))) <=> ![X: $i, Y: $i] : (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y))))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2615,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : rewrite(((locatedin(X, Y) & ot____nom38(Y)) => q27(X)) <=> (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2616,plain,
% 1.65/1.38 (![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom38(Y)) => q27(X)) <=> ![X: $i, Y: $i] : (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y))))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2615])).
% 1.65/1.38 tff(2617,axiom,(![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom38(Y)) => q27(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula195')).
% 1.65/1.38 tff(2618,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2617, 2616])).
% 1.65/1.38 tff(2619,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2618, 2614])).
% 1.65/1.38 tff(2620,plain,(
% 1.65/1.38 ![X: $i, Y: $i] : (q27(X) | (~(locatedin(X, Y) & ot____nom38(Y))))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2619])).
% 1.65/1.38 tff(2621,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2620, 2613])).
% 1.65/1.38 tff(2622,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2621, 2611])).
% 1.65/1.38 tff(2623,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | ((~locatedin(californiaregion, usregion)) | q27(californiaregion) | (~ot____nom38(usregion)))) <=> ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (~locatedin(californiaregion, usregion)) | q27(californiaregion) | (~ot____nom38(usregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2624,plain,
% 1.65/1.38 ((q27(californiaregion) | (~locatedin(californiaregion, usregion)) | (~ot____nom38(usregion))) <=> ((~locatedin(californiaregion, usregion)) | q27(californiaregion) | (~ot____nom38(usregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2625,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (q27(californiaregion) | (~locatedin(californiaregion, usregion)) | (~ot____nom38(usregion)))) <=> ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | ((~locatedin(californiaregion, usregion)) | q27(californiaregion) | (~ot____nom38(usregion))))),
% 1.65/1.38 inference(monotonicity,[status(thm)],[2624])).
% 1.65/1.38 tff(2626,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (q27(californiaregion) | (~locatedin(californiaregion, usregion)) | (~ot____nom38(usregion)))) <=> ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (~locatedin(californiaregion, usregion)) | q27(californiaregion) | (~ot____nom38(usregion)))),
% 1.65/1.38 inference(transitivity,[status(thm)],[2625, 2623])).
% 1.65/1.38 tff(2627,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (q27(californiaregion) | (~locatedin(californiaregion, usregion)) | (~ot____nom38(usregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2628,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (~locatedin(californiaregion, usregion)) | q27(californiaregion) | (~ot____nom38(usregion))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 1.65/1.38 tff(2629,plain,
% 1.65/1.38 (q27(californiaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2628, 2622, 17, 2609])).
% 1.65/1.38 tff(2630,plain,
% 1.65/1.38 (locatedin_aux(sonomaregion, californiaregion) <=> locatedin_aux(sonomaregion, californiaregion)),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2631,axiom,(locatedin_aux(sonomaregion, californiaregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula206')).
% 1.65/1.38 tff(2632,plain,
% 1.65/1.38 (locatedin_aux(sonomaregion, californiaregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 1.65/1.38 tff(2633,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(sonomaregion, californiaregion)) | locatedin(sonomaregion, californiaregion))) <=> ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(sonomaregion, californiaregion)) | locatedin(sonomaregion, californiaregion))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2634,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(sonomaregion, californiaregion)) | locatedin(sonomaregion, californiaregion))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2635,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(sonomaregion, californiaregion)) | locatedin(sonomaregion, californiaregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 1.65/1.38 tff(2636,plain,
% 1.65/1.38 (locatedin(sonomaregion, californiaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2635, 2632, 10])).
% 1.65/1.38 tff(2637,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : refl((q26(X) | (~locatedin(X, Y)) | (~q27(Y))) <=> (q26(X) | (~locatedin(X, Y)) | (~q27(Y))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2638,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y))) <=> ![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2637])).
% 1.65/1.38 tff(2639,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((locatedin(X, Y) & q27(Y)) <=> (~((~locatedin(X, Y)) | (~q27(Y))))), ((~(locatedin(X, Y) & q27(Y))) <=> (~(~((~locatedin(X, Y)) | (~q27(Y))))))), rewrite((~(~((~locatedin(X, Y)) | (~q27(Y))))) <=> ((~locatedin(X, Y)) | (~q27(Y)))), ((~(locatedin(X, Y) & q27(Y))) <=> ((~locatedin(X, Y)) | (~q27(Y))))), ((q26(X) | (~(locatedin(X, Y) & q27(Y)))) <=> (q26(X) | ((~locatedin(X, Y)) | (~q27(Y)))))), rewrite((q26(X) | ((~locatedin(X, Y)) | (~q27(Y)))) <=> (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))), ((q26(X) | (~(locatedin(X, Y) & q27(Y)))) <=> (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2640,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q26(X) | (~(locatedin(X, Y) & q27(Y)))) <=> ![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2639])).
% 1.65/1.38 tff(2641,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q26(X) | (~(locatedin(X, Y) & q27(Y)))) <=> ![X: $i, Y: $i] : (q26(X) | (~(locatedin(X, Y) & q27(Y))))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2642,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : rewrite(((locatedin(X, Y) & q27(Y)) => q26(X)) <=> (q26(X) | (~(locatedin(X, Y) & q27(Y)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2643,plain,
% 1.65/1.38 (![X: $i, Y: $i] : ((locatedin(X, Y) & q27(Y)) => q26(X)) <=> ![X: $i, Y: $i] : (q26(X) | (~(locatedin(X, Y) & q27(Y))))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2642])).
% 1.65/1.38 tff(2644,axiom,(![X: $i, Y: $i] : ((locatedin(X, Y) & q27(Y)) => q26(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula192')).
% 1.65/1.38 tff(2645,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q26(X) | (~(locatedin(X, Y) & q27(Y))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2644, 2643])).
% 1.65/1.38 tff(2646,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q26(X) | (~(locatedin(X, Y) & q27(Y))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2645, 2641])).
% 1.65/1.38 tff(2647,plain,(
% 1.65/1.38 ![X: $i, Y: $i] : (q26(X) | (~(locatedin(X, Y) & q27(Y))))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2646])).
% 1.65/1.38 tff(2648,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2647, 2640])).
% 1.65/1.38 tff(2649,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2648, 2638])).
% 1.65/1.38 tff(2650,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))) | (q26(sonomaregion) | (~locatedin(sonomaregion, californiaregion)) | (~q27(californiaregion)))) <=> ((~![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))) | q26(sonomaregion) | (~locatedin(sonomaregion, californiaregion)) | (~q27(californiaregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2651,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))) | (q26(sonomaregion) | (~locatedin(sonomaregion, californiaregion)) | (~q27(californiaregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2652,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q26(X) | (~locatedin(X, Y)) | (~q27(Y)))) | q26(sonomaregion) | (~locatedin(sonomaregion, californiaregion)) | (~q27(californiaregion))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 1.65/1.38 tff(2653,plain,
% 1.65/1.38 (q26(sonomaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2652, 2649, 2636, 2629])).
% 1.65/1.38 tff(2654,plain,
% 1.65/1.38 (^[X: $i] : refl((ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X))) <=> (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2655,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X))) <=> ![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2654])).
% 1.65/1.38 tff(2656,plain,
% 1.65/1.38 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q26(X) & kaon2namedobjects(X)) <=> (~((~q26(X)) | (~kaon2namedobjects(X))))), ((~(q26(X) & kaon2namedobjects(X))) <=> (~(~((~q26(X)) | (~kaon2namedobjects(X))))))), rewrite((~(~((~q26(X)) | (~kaon2namedobjects(X))))) <=> ((~q26(X)) | (~kaon2namedobjects(X)))), ((~(q26(X) & kaon2namedobjects(X))) <=> ((~q26(X)) | (~kaon2namedobjects(X))))), ((ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X)))) <=> (ot____nom38(X) | ((~q26(X)) | (~kaon2namedobjects(X)))))), rewrite((ot____nom38(X) | ((~q26(X)) | (~kaon2namedobjects(X)))) <=> (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))), ((ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X)))) <=> (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2657,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2656])).
% 1.65/1.38 tff(2658,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X)))) <=> ![X: $i] : (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X))))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2659,plain,
% 1.65/1.38 (^[X: $i] : rewrite(((q26(X) & kaon2namedobjects(X)) => ot____nom38(X)) <=> (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2660,plain,
% 1.65/1.38 (![X: $i] : ((q26(X) & kaon2namedobjects(X)) => ot____nom38(X)) <=> ![X: $i] : (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X))))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2659])).
% 1.65/1.38 tff(2661,axiom,(![X: $i] : ((q26(X) & kaon2namedobjects(X)) => ot____nom38(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula738')).
% 1.65/1.38 tff(2662,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 1.65/1.38 tff(2663,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2662, 2658])).
% 1.65/1.38 tff(2664,plain,(
% 1.65/1.38 ![X: $i] : (ot____nom38(X) | (~(q26(X) & kaon2namedobjects(X))))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2663])).
% 1.65/1.38 tff(2665,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2664, 2657])).
% 1.65/1.38 tff(2666,plain,
% 1.65/1.38 (![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2665, 2655])).
% 1.65/1.38 tff(2667,plain,
% 1.65/1.38 (kaon2namedobjects(sonomaregion) <=> kaon2namedobjects(sonomaregion)),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2668,axiom,(kaon2namedobjects(sonomaregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula495')).
% 1.65/1.38 tff(2669,plain,
% 1.65/1.38 (kaon2namedobjects(sonomaregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 1.65/1.38 tff(2670,plain,
% 1.65/1.38 (((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(sonomaregion)) | (~q26(sonomaregion)) | ot____nom38(sonomaregion))) <=> ((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sonomaregion)) | (~q26(sonomaregion)) | ot____nom38(sonomaregion))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2671,plain,
% 1.65/1.38 ((ot____nom38(sonomaregion) | (~q26(sonomaregion)) | (~kaon2namedobjects(sonomaregion))) <=> ((~kaon2namedobjects(sonomaregion)) | (~q26(sonomaregion)) | ot____nom38(sonomaregion))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2672,plain,
% 1.65/1.38 (((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | (ot____nom38(sonomaregion) | (~q26(sonomaregion)) | (~kaon2namedobjects(sonomaregion)))) <=> ((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | ((~kaon2namedobjects(sonomaregion)) | (~q26(sonomaregion)) | ot____nom38(sonomaregion)))),
% 1.65/1.38 inference(monotonicity,[status(thm)],[2671])).
% 1.65/1.38 tff(2673,plain,
% 1.65/1.38 (((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | (ot____nom38(sonomaregion) | (~q26(sonomaregion)) | (~kaon2namedobjects(sonomaregion)))) <=> ((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sonomaregion)) | (~q26(sonomaregion)) | ot____nom38(sonomaregion))),
% 1.65/1.38 inference(transitivity,[status(thm)],[2672, 2670])).
% 1.65/1.38 tff(2674,plain,
% 1.65/1.38 ((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | (ot____nom38(sonomaregion) | (~q26(sonomaregion)) | (~kaon2namedobjects(sonomaregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2675,plain,
% 1.65/1.38 ((~![X: $i] : (ot____nom38(X) | (~q26(X)) | (~kaon2namedobjects(X)))) | (~kaon2namedobjects(sonomaregion)) | (~q26(sonomaregion)) | ot____nom38(sonomaregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 1.65/1.38 tff(2676,plain,
% 1.65/1.38 ((~q26(sonomaregion)) | ot____nom38(sonomaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2675, 2669, 2666])).
% 1.65/1.38 tff(2677,plain,
% 1.65/1.38 (ot____nom38(sonomaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2676, 2653])).
% 1.65/1.38 tff(2678,plain,
% 1.65/1.38 (locatedin_aux(cotturizinfandel, sonomaregion) <=> locatedin_aux(cotturizinfandel, sonomaregion)),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2679,axiom,(locatedin_aux(cotturizinfandel, sonomaregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula201')).
% 1.65/1.38 tff(2680,plain,
% 1.65/1.38 (locatedin_aux(cotturizinfandel, sonomaregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 1.65/1.38 tff(2681,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(cotturizinfandel, sonomaregion)) | locatedin(cotturizinfandel, sonomaregion))) <=> ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(cotturizinfandel, sonomaregion)) | locatedin(cotturizinfandel, sonomaregion))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2682,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | ((~locatedin_aux(cotturizinfandel, sonomaregion)) | locatedin(cotturizinfandel, sonomaregion))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2683,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : ((~locatedin_aux(X, Y)) | locatedin(X, Y))) | (~locatedin_aux(cotturizinfandel, sonomaregion)) | locatedin(cotturizinfandel, sonomaregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2682, 2681])).
% 1.65/1.38 tff(2684,plain,
% 1.65/1.38 (locatedin(cotturizinfandel, sonomaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2683, 2680, 10])).
% 1.65/1.38 tff(2685,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | ((~ot____nom38(sonomaregion)) | (~locatedin(cotturizinfandel, sonomaregion)) | q27(cotturizinfandel))) <=> ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (~ot____nom38(sonomaregion)) | (~locatedin(cotturizinfandel, sonomaregion)) | q27(cotturizinfandel))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2686,plain,
% 1.65/1.38 ((q27(cotturizinfandel) | (~locatedin(cotturizinfandel, sonomaregion)) | (~ot____nom38(sonomaregion))) <=> ((~ot____nom38(sonomaregion)) | (~locatedin(cotturizinfandel, sonomaregion)) | q27(cotturizinfandel))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2687,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (q27(cotturizinfandel) | (~locatedin(cotturizinfandel, sonomaregion)) | (~ot____nom38(sonomaregion)))) <=> ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | ((~ot____nom38(sonomaregion)) | (~locatedin(cotturizinfandel, sonomaregion)) | q27(cotturizinfandel)))),
% 1.65/1.38 inference(monotonicity,[status(thm)],[2686])).
% 1.65/1.38 tff(2688,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (q27(cotturizinfandel) | (~locatedin(cotturizinfandel, sonomaregion)) | (~ot____nom38(sonomaregion)))) <=> ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (~ot____nom38(sonomaregion)) | (~locatedin(cotturizinfandel, sonomaregion)) | q27(cotturizinfandel))),
% 1.65/1.38 inference(transitivity,[status(thm)],[2687, 2685])).
% 1.65/1.38 tff(2689,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (q27(cotturizinfandel) | (~locatedin(cotturizinfandel, sonomaregion)) | (~ot____nom38(sonomaregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2690,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q27(X) | (~locatedin(X, Y)) | (~ot____nom38(Y)))) | (~ot____nom38(sonomaregion)) | (~locatedin(cotturizinfandel, sonomaregion)) | q27(cotturizinfandel)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 1.65/1.38 tff(2691,plain,
% 1.65/1.38 ((~ot____nom38(sonomaregion)) | q27(cotturizinfandel)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2690, 2622, 2684])).
% 1.65/1.38 tff(2692,plain,
% 1.65/1.38 (q27(cotturizinfandel)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2691, 2677])).
% 1.65/1.38 tff(2693,plain,
% 1.65/1.38 (^[X: $i] : refl((americanwine(X) | (~wine(X)) | (~q27(X))) <=> (americanwine(X) | (~wine(X)) | (~q27(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2694,plain,
% 1.65/1.38 (![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X))) <=> ![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2693])).
% 1.65/1.38 tff(2695,plain,
% 1.65/1.38 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q27(X) & wine(X)) <=> (~((~q27(X)) | (~wine(X))))), ((~(q27(X) & wine(X))) <=> (~(~((~q27(X)) | (~wine(X))))))), rewrite((~(~((~q27(X)) | (~wine(X))))) <=> ((~q27(X)) | (~wine(X)))), ((~(q27(X) & wine(X))) <=> ((~q27(X)) | (~wine(X))))), ((americanwine(X) | (~(q27(X) & wine(X)))) <=> (americanwine(X) | ((~q27(X)) | (~wine(X)))))), rewrite((americanwine(X) | ((~q27(X)) | (~wine(X)))) <=> (americanwine(X) | (~wine(X)) | (~q27(X)))), ((americanwine(X) | (~(q27(X) & wine(X)))) <=> (americanwine(X) | (~wine(X)) | (~q27(X)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2696,plain,
% 1.65/1.38 (![X: $i] : (americanwine(X) | (~(q27(X) & wine(X)))) <=> ![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2695])).
% 1.65/1.38 tff(2697,plain,
% 1.65/1.38 (![X: $i] : (americanwine(X) | (~(q27(X) & wine(X)))) <=> ![X: $i] : (americanwine(X) | (~(q27(X) & wine(X))))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2698,plain,
% 1.65/1.38 (^[X: $i] : rewrite(((q27(X) & wine(X)) => americanwine(X)) <=> (americanwine(X) | (~(q27(X) & wine(X)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2699,plain,
% 1.65/1.38 (![X: $i] : ((q27(X) & wine(X)) => americanwine(X)) <=> ![X: $i] : (americanwine(X) | (~(q27(X) & wine(X))))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2698])).
% 1.65/1.38 tff(2700,axiom,(![X: $i] : ((q27(X) & wine(X)) => americanwine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula412')).
% 1.65/1.38 tff(2701,plain,
% 1.65/1.38 (![X: $i] : (americanwine(X) | (~(q27(X) & wine(X))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2700, 2699])).
% 1.65/1.38 tff(2702,plain,
% 1.65/1.38 (![X: $i] : (americanwine(X) | (~(q27(X) & wine(X))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2701, 2697])).
% 1.65/1.38 tff(2703,plain,(
% 1.65/1.38 ![X: $i] : (americanwine(X) | (~(q27(X) & wine(X))))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2702])).
% 1.65/1.38 tff(2704,plain,
% 1.65/1.38 (![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2703, 2696])).
% 1.65/1.38 tff(2705,plain,
% 1.65/1.38 (![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2704, 2694])).
% 1.65/1.38 tff(2706,plain,
% 1.65/1.38 (((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | ((~wine(cotturizinfandel)) | americanwine(cotturizinfandel) | (~q27(cotturizinfandel)))) <=> ((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | (~wine(cotturizinfandel)) | americanwine(cotturizinfandel) | (~q27(cotturizinfandel)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2707,plain,
% 1.65/1.38 ((americanwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q27(cotturizinfandel))) <=> ((~wine(cotturizinfandel)) | americanwine(cotturizinfandel) | (~q27(cotturizinfandel)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2708,plain,
% 1.65/1.38 (((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | (americanwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q27(cotturizinfandel)))) <=> ((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | ((~wine(cotturizinfandel)) | americanwine(cotturizinfandel) | (~q27(cotturizinfandel))))),
% 1.65/1.38 inference(monotonicity,[status(thm)],[2707])).
% 1.65/1.38 tff(2709,plain,
% 1.65/1.38 (((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | (americanwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q27(cotturizinfandel)))) <=> ((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | (~wine(cotturizinfandel)) | americanwine(cotturizinfandel) | (~q27(cotturizinfandel)))),
% 1.65/1.38 inference(transitivity,[status(thm)],[2708, 2706])).
% 1.65/1.38 tff(2710,plain,
% 1.65/1.38 ((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | (americanwine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q27(cotturizinfandel)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2711,plain,
% 1.65/1.38 ((~![X: $i] : (americanwine(X) | (~wine(X)) | (~q27(X)))) | (~wine(cotturizinfandel)) | americanwine(cotturizinfandel) | (~q27(cotturizinfandel))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2710, 2709])).
% 1.65/1.38 tff(2712,plain,
% 1.65/1.38 (americanwine(cotturizinfandel)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2711, 2705, 2341, 2692])).
% 1.65/1.38 tff(2713,assumption,(![X: $i] : (~americanwine(X))), introduced(assumption)).
% 1.65/1.38 tff(2714,plain,
% 1.65/1.38 ((~![X: $i] : (~americanwine(X))) | (~americanwine(cotturizinfandel))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2715,plain,
% 1.65/1.38 ($false),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2714, 2713, 2712])).
% 1.65/1.38 tff(2716,plain,(~![X: $i] : (~americanwine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.38 tff(2717,plain,
% 1.65/1.38 (((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | ((~locatedin(sonomaregion, californiaregion)) | locatedin(cotturizinfandel, californiaregion) | (~locatedin(cotturizinfandel, sonomaregion)))) <=> ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (~locatedin(sonomaregion, californiaregion)) | locatedin(cotturizinfandel, californiaregion) | (~locatedin(cotturizinfandel, sonomaregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2718,plain,
% 1.65/1.38 ((locatedin(cotturizinfandel, californiaregion) | (~locatedin(sonomaregion, californiaregion)) | (~locatedin(cotturizinfandel, sonomaregion))) <=> ((~locatedin(sonomaregion, californiaregion)) | locatedin(cotturizinfandel, californiaregion) | (~locatedin(cotturizinfandel, sonomaregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2719,plain,
% 1.65/1.38 (((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (locatedin(cotturizinfandel, californiaregion) | (~locatedin(sonomaregion, californiaregion)) | (~locatedin(cotturizinfandel, sonomaregion)))) <=> ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | ((~locatedin(sonomaregion, californiaregion)) | locatedin(cotturizinfandel, californiaregion) | (~locatedin(cotturizinfandel, sonomaregion))))),
% 1.65/1.38 inference(monotonicity,[status(thm)],[2718])).
% 1.65/1.38 tff(2720,plain,
% 1.65/1.38 (((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (locatedin(cotturizinfandel, californiaregion) | (~locatedin(sonomaregion, californiaregion)) | (~locatedin(cotturizinfandel, sonomaregion)))) <=> ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (~locatedin(sonomaregion, californiaregion)) | locatedin(cotturizinfandel, californiaregion) | (~locatedin(cotturizinfandel, sonomaregion)))),
% 1.65/1.38 inference(transitivity,[status(thm)],[2719, 2717])).
% 1.65/1.38 tff(2721,plain,
% 1.65/1.38 ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (locatedin(cotturizinfandel, californiaregion) | (~locatedin(sonomaregion, californiaregion)) | (~locatedin(cotturizinfandel, sonomaregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2722,plain,
% 1.65/1.38 ((~![X: $i, Y: $i, Z: $i] : (locatedin(X, Z) | (~locatedin(Y, Z)) | (~locatedin(X, Y)))) | (~locatedin(sonomaregion, californiaregion)) | locatedin(cotturizinfandel, californiaregion) | (~locatedin(cotturizinfandel, sonomaregion))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2721, 2720])).
% 1.65/1.38 tff(2723,plain,
% 1.65/1.38 (locatedin(cotturizinfandel, californiaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2722, 428, 2684, 2636])).
% 1.65/1.38 tff(2724,plain,
% 1.65/1.38 (^[X: $i] : refl((ot____nom15(X) | (~ot____nom15_aux(X))) <=> (ot____nom15(X) | (~ot____nom15_aux(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2725,plain,
% 1.65/1.38 (![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X))) <=> ![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2724])).
% 1.65/1.38 tff(2726,plain,
% 1.65/1.38 (![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X))) <=> ![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2727,plain,
% 1.65/1.38 (^[X: $i] : rewrite((ot____nom15_aux(X) => ot____nom15(X)) <=> (ot____nom15(X) | (~ot____nom15_aux(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2728,plain,
% 1.65/1.38 (![X: $i] : (ot____nom15_aux(X) => ot____nom15(X)) <=> ![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2727])).
% 1.65/1.38 tff(2729,axiom,(![X: $i] : (ot____nom15_aux(X) => ot____nom15(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula16')).
% 1.65/1.38 tff(2730,plain,
% 1.65/1.38 (![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 1.65/1.38 tff(2731,plain,
% 1.65/1.38 (![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2730, 2726])).
% 1.65/1.38 tff(2732,plain,(
% 1.65/1.38 ![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2731])).
% 1.65/1.38 tff(2733,plain,
% 1.65/1.38 (![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2732, 2725])).
% 1.65/1.38 tff(2734,plain,
% 1.65/1.38 (ot____nom15_aux(californiaregion) <=> ot____nom15_aux(californiaregion)),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2735,axiom,(ot____nom15_aux(californiaregion)), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act1_formula251')).
% 1.65/1.38 tff(2736,plain,
% 1.65/1.38 (ot____nom15_aux(californiaregion)),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 1.65/1.38 tff(2737,plain,
% 1.65/1.38 (((~![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))) | (ot____nom15(californiaregion) | (~ot____nom15_aux(californiaregion)))) <=> ((~![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))) | ot____nom15(californiaregion) | (~ot____nom15_aux(californiaregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2738,plain,
% 1.65/1.38 ((~![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))) | (ot____nom15(californiaregion) | (~ot____nom15_aux(californiaregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2739,plain,
% 1.65/1.38 ((~![X: $i] : (ot____nom15(X) | (~ot____nom15_aux(X)))) | ot____nom15(californiaregion) | (~ot____nom15_aux(californiaregion))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 1.65/1.38 tff(2740,plain,
% 1.65/1.38 (ot____nom15(californiaregion)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2739, 2736, 2733])).
% 1.65/1.38 tff(2741,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : refl((q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y))) <=> (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2742,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y))) <=> ![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2741])).
% 1.65/1.38 tff(2743,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((locatedin(X, Y) & ot____nom15(Y)) <=> (~((~locatedin(X, Y)) | (~ot____nom15(Y))))), ((~(locatedin(X, Y) & ot____nom15(Y))) <=> (~(~((~locatedin(X, Y)) | (~ot____nom15(Y))))))), rewrite((~(~((~locatedin(X, Y)) | (~ot____nom15(Y))))) <=> ((~locatedin(X, Y)) | (~ot____nom15(Y)))), ((~(locatedin(X, Y) & ot____nom15(Y))) <=> ((~locatedin(X, Y)) | (~ot____nom15(Y))))), ((q48(X) | (~(locatedin(X, Y) & ot____nom15(Y)))) <=> (q48(X) | ((~locatedin(X, Y)) | (~ot____nom15(Y)))))), rewrite((q48(X) | ((~locatedin(X, Y)) | (~ot____nom15(Y)))) <=> (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))), ((q48(X) | (~(locatedin(X, Y) & ot____nom15(Y)))) <=> (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2744,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y)))) <=> ![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2743])).
% 1.65/1.38 tff(2745,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y)))) <=> ![X: $i, Y: $i] : (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y))))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2746,plain,
% 1.65/1.38 (^[X: $i, Y: $i] : rewrite(((locatedin(X, Y) & ot____nom15(Y)) => q48(X)) <=> (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2747,plain,
% 1.65/1.38 (![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom15(Y)) => q48(X)) <=> ![X: $i, Y: $i] : (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y))))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2746])).
% 1.65/1.38 tff(2748,axiom,(![X: $i, Y: $i] : ((locatedin(X, Y) & ot____nom15(Y)) => q48(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula300')).
% 1.65/1.38 tff(2749,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 1.65/1.38 tff(2750,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2749, 2745])).
% 1.65/1.38 tff(2751,plain,(
% 1.65/1.38 ![X: $i, Y: $i] : (q48(X) | (~(locatedin(X, Y) & ot____nom15(Y))))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2750])).
% 1.65/1.38 tff(2752,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2751, 2744])).
% 1.65/1.38 tff(2753,plain,
% 1.65/1.38 (![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2752, 2742])).
% 1.65/1.38 tff(2754,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | ((~ot____nom15(californiaregion)) | q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)))) <=> ((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | (~ot____nom15(californiaregion)) | q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2755,plain,
% 1.65/1.38 ((q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)) | (~ot____nom15(californiaregion))) <=> ((~ot____nom15(californiaregion)) | q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2756,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | (q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)) | (~ot____nom15(californiaregion)))) <=> ((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | ((~ot____nom15(californiaregion)) | q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion))))),
% 1.65/1.38 inference(monotonicity,[status(thm)],[2755])).
% 1.65/1.38 tff(2757,plain,
% 1.65/1.38 (((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | (q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)) | (~ot____nom15(californiaregion)))) <=> ((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | (~ot____nom15(californiaregion)) | q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)))),
% 1.65/1.38 inference(transitivity,[status(thm)],[2756, 2754])).
% 1.65/1.38 tff(2758,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | (q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion)) | (~ot____nom15(californiaregion)))),
% 1.65/1.38 inference(quant_inst,[status(thm)],[])).
% 1.65/1.38 tff(2759,plain,
% 1.65/1.38 ((~![X: $i, Y: $i] : (q48(X) | (~locatedin(X, Y)) | (~ot____nom15(Y)))) | (~ot____nom15(californiaregion)) | q48(cotturizinfandel) | (~locatedin(cotturizinfandel, californiaregion))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 1.65/1.38 tff(2760,plain,
% 1.65/1.38 (q48(cotturizinfandel)),
% 1.65/1.38 inference(unit_resolution,[status(thm)],[2759, 2753, 2740, 2723])).
% 1.65/1.38 tff(2761,plain,
% 1.65/1.38 (^[X: $i] : refl((californiawine(X) | (~wine(X)) | (~q48(X))) <=> (californiawine(X) | (~wine(X)) | (~q48(X))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2762,plain,
% 1.65/1.38 (![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X))) <=> ![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2761])).
% 1.65/1.38 tff(2763,plain,
% 1.65/1.38 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((q48(X) & wine(X)) <=> (~((~q48(X)) | (~wine(X))))), ((~(q48(X) & wine(X))) <=> (~(~((~q48(X)) | (~wine(X))))))), rewrite((~(~((~q48(X)) | (~wine(X))))) <=> ((~q48(X)) | (~wine(X)))), ((~(q48(X) & wine(X))) <=> ((~q48(X)) | (~wine(X))))), ((californiawine(X) | (~(q48(X) & wine(X)))) <=> (californiawine(X) | ((~q48(X)) | (~wine(X)))))), rewrite((californiawine(X) | ((~q48(X)) | (~wine(X)))) <=> (californiawine(X) | (~wine(X)) | (~q48(X)))), ((californiawine(X) | (~(q48(X) & wine(X)))) <=> (californiawine(X) | (~wine(X)) | (~q48(X)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2764,plain,
% 1.65/1.38 (![X: $i] : (californiawine(X) | (~(q48(X) & wine(X)))) <=> ![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2763])).
% 1.65/1.38 tff(2765,plain,
% 1.65/1.38 (![X: $i] : (californiawine(X) | (~(q48(X) & wine(X)))) <=> ![X: $i] : (californiawine(X) | (~(q48(X) & wine(X))))),
% 1.65/1.38 inference(rewrite,[status(thm)],[])).
% 1.65/1.38 tff(2766,plain,
% 1.65/1.38 (^[X: $i] : rewrite(((q48(X) & wine(X)) => californiawine(X)) <=> (californiawine(X) | (~(q48(X) & wine(X)))))),
% 1.65/1.38 inference(bind,[status(th)],[])).
% 1.65/1.38 tff(2767,plain,
% 1.65/1.38 (![X: $i] : ((q48(X) & wine(X)) => californiawine(X)) <=> ![X: $i] : (californiawine(X) | (~(q48(X) & wine(X))))),
% 1.65/1.38 inference(quant_intro,[status(thm)],[2766])).
% 1.65/1.38 tff(2768,axiom,(![X: $i] : ((q48(X) & wine(X)) => californiawine(X))), file('/export/starexec/sandbox2/benchmark/Axioms/PRD001+0.ax','act2_formula434')).
% 1.65/1.38 tff(2769,plain,
% 1.65/1.38 (![X: $i] : (californiawine(X) | (~(q48(X) & wine(X))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 1.65/1.38 tff(2770,plain,
% 1.65/1.38 (![X: $i] : (californiawine(X) | (~(q48(X) & wine(X))))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2769, 2765])).
% 1.65/1.38 tff(2771,plain,(
% 1.65/1.38 ![X: $i] : (californiawine(X) | (~(q48(X) & wine(X))))),
% 1.65/1.38 inference(skolemize,[status(sab)],[2770])).
% 1.65/1.38 tff(2772,plain,
% 1.65/1.38 (![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))),
% 1.65/1.38 inference(modus_ponens,[status(thm)],[2771, 2764])).
% 1.65/1.38 tff(2773,plain,
% 1.65/1.38 (![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))),
% 1.65/1.39 inference(modus_ponens,[status(thm)],[2772, 2762])).
% 1.65/1.39 tff(2774,plain,
% 1.65/1.39 (((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | ((~wine(cotturizinfandel)) | californiawine(cotturizinfandel) | (~q48(cotturizinfandel)))) <=> ((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | (~wine(cotturizinfandel)) | californiawine(cotturizinfandel) | (~q48(cotturizinfandel)))),
% 1.65/1.39 inference(rewrite,[status(thm)],[])).
% 1.65/1.39 tff(2775,plain,
% 1.65/1.39 ((californiawine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q48(cotturizinfandel))) <=> ((~wine(cotturizinfandel)) | californiawine(cotturizinfandel) | (~q48(cotturizinfandel)))),
% 1.65/1.39 inference(rewrite,[status(thm)],[])).
% 1.65/1.39 tff(2776,plain,
% 1.65/1.39 (((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | (californiawine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q48(cotturizinfandel)))) <=> ((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | ((~wine(cotturizinfandel)) | californiawine(cotturizinfandel) | (~q48(cotturizinfandel))))),
% 1.65/1.39 inference(monotonicity,[status(thm)],[2775])).
% 1.65/1.39 tff(2777,plain,
% 1.65/1.39 (((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | (californiawine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q48(cotturizinfandel)))) <=> ((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | (~wine(cotturizinfandel)) | californiawine(cotturizinfandel) | (~q48(cotturizinfandel)))),
% 1.65/1.39 inference(transitivity,[status(thm)],[2776, 2774])).
% 1.65/1.39 tff(2778,plain,
% 1.65/1.39 ((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | (californiawine(cotturizinfandel) | (~wine(cotturizinfandel)) | (~q48(cotturizinfandel)))),
% 1.65/1.39 inference(quant_inst,[status(thm)],[])).
% 1.65/1.39 tff(2779,plain,
% 1.65/1.39 ((~![X: $i] : (californiawine(X) | (~wine(X)) | (~q48(X)))) | (~wine(cotturizinfandel)) | californiawine(cotturizinfandel) | (~q48(cotturizinfandel))),
% 1.65/1.39 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 1.65/1.39 tff(2780,plain,
% 1.65/1.39 (californiawine(cotturizinfandel) | (~q48(cotturizinfandel))),
% 1.65/1.39 inference(unit_resolution,[status(thm)],[2779, 2773, 2341])).
% 1.65/1.39 tff(2781,plain,
% 1.65/1.39 (californiawine(cotturizinfandel)),
% 1.65/1.39 inference(unit_resolution,[status(thm)],[2780, 2760])).
% 1.65/1.39 tff(2782,assumption,(![X: $i] : (~californiawine(X))), introduced(assumption)).
% 1.65/1.39 tff(2783,plain,
% 1.65/1.39 ((~![X: $i] : (~californiawine(X))) | (~californiawine(cotturizinfandel))),
% 1.65/1.39 inference(quant_inst,[status(thm)],[])).
% 1.65/1.39 tff(2784,plain,
% 1.65/1.39 ($false),
% 1.65/1.39 inference(unit_resolution,[status(thm)],[2783, 2782, 2781])).
% 1.65/1.39 tff(2785,plain,(~![X: $i] : (~californiawine(X))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.39 tff(2786,assumption,(![Y: $i, X: $i] : (~madefromgrape(X, Y))), introduced(assumption)).
% 1.65/1.39 tff(2787,plain,
% 1.65/1.39 ((~![Y: $i, X: $i] : (~madefromgrape(X, Y))) | (~madefromgrape(chateaudychemsauterne, semillongrape))),
% 1.65/1.39 inference(quant_inst,[status(thm)],[])).
% 1.65/1.39 tff(2788,plain,
% 1.65/1.39 ($false),
% 1.65/1.39 inference(unit_resolution,[status(thm)],[2787, 2786, 34])).
% 1.65/1.39 tff(2789,plain,(~![Y: $i, X: $i] : (~madefromgrape(X, Y))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.39 tff(2790,plain,
% 1.65/1.39 ((![X: $i] : (~californiawine(X)) | ![X: $i] : (~americanwine(X)) | ![X: $i] : (~bordeaux(X)) | ![X: $i] : (~burgundy(X)) | ![X: $i] : (~anjou(X)) | ![X: $i] : (~beaujolais(X)) | ![X: $i] : (~cabernetfranc(X)) | ![X: $i] : (~cabernetsauvignon(X)) | ![X: $i] : (~chardonnay(X)) | ![X: $i] : (~cheninblanc(X)) | ![X: $i] : (~chianti(X)) | ![X: $i] : (~cotesdor(X)) | ![X: $i] : (~dessertwine(X)) | ![X: $i] : (~dryriesling(X)) | ![X: $i] : (~dryredwine(X)) | ![X: $i] : (~drywhitewine(X)) | ![X: $i] : (~drywine(X)) | ![X: $i] : (~fullbodiedwine(X)) | ![X: $i] : (~gamay(X)) | ![X: $i] : (~germanwine(X)) | ![X: $i] : (~grape(X)) | ![X: $i] : (~icewine(X)) | ![X: $i] : (~italianwine(X)) | ![X: $i] : (~lateharvest(X)) | ![X: $i] : (~loire(X)) | ![X: $i] : (~margaux(X)) | ![X: $i] : (~medoc(X)) | ![X: $i] : (~meritage(X)) | ![X: $i] : (~merlot(X)) | ![X: $i] : (~meursault(X)) | ![X: $i] : (~muscadet(X)) | ![X: $i] : (~pauillac(X)) | ![X: $i] : (~petitesyrah(X)) | ![X: $i] : (~pinotblanc(X)) | ![X: $i] : (~pinotnoir(X)) | ![X: $i] : (~port(X)) | ![X: $i] : (~potableliquid(X)) | ![X: $i] : (~redbordeaux(X)) | ![X: $i] : (~redburgundy(X)) | ![X: $i] : (~redtablewine(X)) | ![X: $i] : (~redwine(X)) | ![X: $i] : (~region(X)) | ![X: $i] : (~riesling(X)) | ![X: $i] : (~rosewine(X)) | ![X: $i] : (~sancerre(X)) | ![X: $i] : (~sauternes(X)) | ![X: $i] : (~sauvignonblanc(X)) | ![X: $i] : (~semillon(X)) | ![X: $i] : (~semillonorsauvignonblanc(X)) | ![X: $i] : (~stemilion(X)) | ![X: $i] : (~sweetriesling(X)) | ![X: $i] : (~sweetwine(X)) | ![X: $i] : (~tablewine(X)) | ![X: $i] : (~texaswine(X)) | ![X: $i] : (~vintage(X)) | ![X: $i] : (~vintageyear(X)) | ![X: $i] : (~whitebordeaux(X)) | ![X: $i] : (~whiteburgundy(X)) | ![X: $i] : (~whiteloire(X)) | ![X: $i] : (~whitenonsweetwine(X)) | ![X: $i] : (~whitetablewine(X)) | ![X: $i] : (~whitewine(X)) | ![X: $i] : (~wine(X)) | ![X: $i] : (~winebody(X)) | ![X: $i] : (~winecolor(X)) | ![X: $i] : (~winedescriptor(X)) | ![X: $i] : (~wineflavor(X)) | ![X: $i] : (~winegrape(X)) | ![X: $i] : (~winesugar(X)) | ![X: $i] : (~winery(X)) | ![X: $i] : (~winetaste(X)) | ![X: $i] : (~zinfandel(X)) | ![Y: $i, X: $i] : (~hasbody(X, Y)) | ![Y: $i, X: $i] : (~hascolor(X, Y)) | ![Y: $i, X: $i] : (~hasflavor(X, Y)) | ![Y: $i, X: $i] : (~hasmaker(X, Y)) | ![Y: $i, X: $i] : (~hassugar(X, Y)) | ![Y: $i, X: $i] : (~hasvintageyear(X, Y)) | ![Y: $i, X: $i] : (~haswinedescriptor(X, Y)) | ![Y: $i, X: $i] : (~locatedin(X, Y)) | ![Y: $i, X: $i] : (~madefromgrape(X, Y)) | ![Y: $i, X: $i] : (~madefromfruit(X, Y)) | ![Y: $i, X: $i] : (~madeintowine(X, Y)) | ![Y: $i, X: $i] : (~produceswine(X, Y))) <=> (![X: $i] : (~californiawine(X)) | ![X: $i] : (~americanwine(X)) | ![X: $i] : (~bordeaux(X)) | ![X: $i] : (~burgundy(X)) | ![X: $i] : (~anjou(X)) | ![X: $i] : (~beaujolais(X)) | ![X: $i] : (~cabernetfranc(X)) | ![X: $i] : (~cabernetsauvignon(X)) | ![X: $i] : (~chardonnay(X)) | ![X: $i] : (~cheninblanc(X)) | ![X: $i] : (~chianti(X)) | ![X: $i] : (~cotesdor(X)) | ![X: $i] : (~dessertwine(X)) | ![X: $i] : (~dryriesling(X)) | ![X: $i] : (~dryredwine(X)) | ![X: $i] : (~drywhitewine(X)) | ![X: $i] : (~drywine(X)) | ![X: $i] : (~fullbodiedwine(X)) | ![X: $i] : (~gamay(X)) | ![X: $i] : (~germanwine(X)) | ![X: $i] : (~grape(X)) | ![X: $i] : (~icewine(X)) | ![X: $i] : (~italianwine(X)) | ![X: $i] : (~lateharvest(X)) | ![X: $i] : (~loire(X)) | ![X: $i] : (~margaux(X)) | ![X: $i] : (~medoc(X)) | ![X: $i] : (~meritage(X)) | ![X: $i] : (~merlot(X)) | ![X: $i] : (~meursault(X)) | ![X: $i] : (~muscadet(X)) | ![X: $i] : (~pauillac(X)) | ![X: $i] : (~petitesyrah(X)) | ![X: $i] : (~pinotblanc(X)) | ![X: $i] : (~pinotnoir(X)) | ![X: $i] : (~port(X)) | ![X: $i] : (~potableliquid(X)) | ![X: $i] : (~redbordeaux(X)) | ![X: $i] : (~redburgundy(X)) | ![X: $i] : (~redtablewine(X)) | ![X: $i] : (~redwine(X)) | ![X: $i] : (~region(X)) | ![X: $i] : (~riesling(X)) | ![X: $i] : (~rosewine(X)) | ![X: $i] : (~sancerre(X)) | ![X: $i] : (~sauternes(X)) | ![X: $i] : (~sauvignonblanc(X)) | ![X: $i] : (~semillon(X)) | ![X: $i] : (~semillonorsauvignonblanc(X)) | ![X: $i] : (~stemilion(X)) | ![X: $i] : (~sweetriesling(X)) | ![X: $i] : (~sweetwine(X)) | ![X: $i] : (~tablewine(X)) | ![X: $i] : (~texaswine(X)) | ![X: $i] : (~vintage(X)) | ![X: $i] : (~vintageyear(X)) | ![X: $i] : (~whitebordeaux(X)) | ![X: $i] : (~whiteburgundy(X)) | ![X: $i] : (~whiteloire(X)) | ![X: $i] : (~whitenonsweetwine(X)) | ![X: $i] : (~whitetablewine(X)) | ![X: $i] : (~whitewine(X)) | ![X: $i] : (~wine(X)) | ![X: $i] : (~winebody(X)) | ![X: $i] : (~winecolor(X)) | ![X: $i] : (~winedescriptor(X)) | ![X: $i] : (~wineflavor(X)) | ![X: $i] : (~winegrape(X)) | ![X: $i] : (~winesugar(X)) | ![X: $i] : (~winery(X)) | ![X: $i] : (~winetaste(X)) | ![X: $i] : (~zinfandel(X)) | ![Y: $i, X: $i] : (~hasbody(X, Y)) | ![Y: $i, X: $i] : (~hascolor(X, Y)) | ![Y: $i, X: $i] : (~hasflavor(X, Y)) | ![Y: $i, X: $i] : (~hasmaker(X, Y)) | ![Y: $i, X: $i] : (~hassugar(X, Y)) | ![Y: $i, X: $i] : (~hasvintageyear(X, Y)) | ![Y: $i, X: $i] : (~haswinedescriptor(X, Y)) | ![Y: $i, X: $i] : (~locatedin(X, Y)) | ![Y: $i, X: $i] : (~madefromgrape(X, Y)) | ![Y: $i, X: $i] : (~madefromfruit(X, Y)) | ![Y: $i, X: $i] : (~madeintowine(X, Y)) | ![Y: $i, X: $i] : (~produceswine(X, Y)))),
% 1.70/1.39 inference(rewrite,[status(thm)],[])).
% 1.70/1.39 tff(2791,plain,
% 1.70/1.39 ((![X: $i] : (~californiawine(X)) | ![X: $i] : (~americanwine(X)) | ![X: $i] : (~bordeaux(X)) | ![X: $i] : (~burgundy(X)) | ![X: $i] : (~anjou(X)) | ![X: $i] : (~beaujolais(X)) | ![X: $i] : (~cabernetfranc(X)) | ![X: $i] : (~cabernetsauvignon(X)) | ![X: $i] : (~chardonnay(X)) | ![X: $i] : (~cheninblanc(X)) | ![X: $i] : (~chianti(X)) | ![X: $i] : (~cotesdor(X)) | ![X: $i] : (~dessertwine(X)) | ![X: $i] : (~dryriesling(X)) | ![X: $i] : (~dryredwine(X)) | ![X: $i] : (~drywhitewine(X)) | ![X: $i] : (~drywine(X)) | ![X: $i] : (~fullbodiedwine(X)) | ![X: $i] : (~gamay(X)) | ![X: $i] : (~germanwine(X)) | ![X: $i] : (~grape(X)) | ![X: $i] : (~icewine(X)) | ![X: $i] : (~italianwine(X)) | ![X: $i] : (~lateharvest(X)) | ![X: $i] : (~loire(X)) | ![X: $i] : (~margaux(X)) | ![X: $i] : (~medoc(X)) | ![X: $i] : (~meritage(X)) | ![X: $i] : (~merlot(X)) | ![X: $i] : (~meursault(X)) | ![X: $i] : (~muscadet(X)) | ![X: $i] : (~pauillac(X)) | ![X: $i] : (~petitesyrah(X)) | ![X: $i] : (~pinotblanc(X)) | ![X: $i] : (~pinotnoir(X)) | ![X: $i] : (~port(X)) | ![X: $i] : (~potableliquid(X)) | ![X: $i] : (~redbordeaux(X)) | ![X: $i] : (~redburgundy(X)) | ![X: $i] : (~redtablewine(X)) | ![X: $i] : (~redwine(X)) | ![X: $i] : (~region(X)) | ![X: $i] : (~riesling(X)) | ![X: $i] : (~rosewine(X)) | ![X: $i] : (~sancerre(X)) | ![X: $i] : (~sauternes(X)) | ![X: $i] : (~sauvignonblanc(X)) | ![X: $i] : (~semillon(X)) | ![X: $i] : (~semillonorsauvignonblanc(X)) | ![X: $i] : (~stemilion(X)) | ![X: $i] : (~sweetriesling(X)) | ![X: $i] : (~sweetwine(X)) | ![X: $i] : (~tablewine(X)) | ![X: $i] : (~texaswine(X)) | ![X: $i] : (~vintage(X)) | ![X: $i] : (~vintageyear(X)) | ![X: $i] : (~whitebordeaux(X)) | ![X: $i] : (~whiteburgundy(X)) | ![X: $i] : (~whiteloire(X)) | ![X: $i] : (~whitenonsweetwine(X)) | ![X: $i] : (~whitetablewine(X)) | ![X: $i] : (~whitewine(X)) | ![X: $i] : (~wine(X)) | ![X: $i] : (~winebody(X)) | ![X: $i] : (~winecolor(X)) | ![X: $i] : (~winedescriptor(X)) | ![X: $i] : (~wineflavor(X)) | ![X: $i] : (~winegrape(X)) | ![X: $i] : (~winesugar(X)) | ![X: $i] : (~winery(X)) | ![X: $i] : (~winetaste(X)) | ![X: $i] : (~zinfandel(X)) | ![Y: $i, X: $i] : (~hasbody(X, Y)) | ![Y: $i, X: $i] : (~hascolor(X, Y)) | ![Y: $i, X: $i] : (~hasflavor(X, Y)) | ![Y: $i, X: $i] : (~hasmaker(X, Y)) | ![Y: $i, X: $i] : (~hassugar(X, Y)) | ![Y: $i, X: $i] : (~hasvintageyear(X, Y)) | ![Y: $i, X: $i] : (~haswinedescriptor(X, Y)) | ![Y: $i, X: $i] : (~locatedin(X, Y)) | ![Y: $i, X: $i] : (~madefromgrape(X, Y)) | ![Y: $i, X: $i] : (~madefromfruit(X, Y)) | ![Y: $i, X: $i] : (~madeintowine(X, Y)) | ![Y: $i, X: $i] : (~produceswine(X, Y))) <=> (![X: $i] : (~californiawine(X)) | ![X: $i] : (~americanwine(X)) | ![X: $i] : (~bordeaux(X)) | ![X: $i] : (~burgundy(X)) | ![X: $i] : (~anjou(X)) | ![X: $i] : (~beaujolais(X)) | ![X: $i] : (~cabernetfranc(X)) | ![X: $i] : (~cabernetsauvignon(X)) | ![X: $i] : (~chardonnay(X)) | ![X: $i] : (~cheninblanc(X)) | ![X: $i] : (~chianti(X)) | ![X: $i] : (~cotesdor(X)) | ![X: $i] : (~dessertwine(X)) | ![X: $i] : (~dryriesling(X)) | ![X: $i] : (~dryredwine(X)) | ![X: $i] : (~drywhitewine(X)) | ![X: $i] : (~drywine(X)) | ![X: $i] : (~fullbodiedwine(X)) | ![X: $i] : (~gamay(X)) | ![X: $i] : (~germanwine(X)) | ![X: $i] : (~grape(X)) | ![X: $i] : (~icewine(X)) | ![X: $i] : (~italianwine(X)) | ![X: $i] : (~lateharvest(X)) | ![X: $i] : (~loire(X)) | ![X: $i] : (~margaux(X)) | ![X: $i] : (~medoc(X)) | ![X: $i] : (~meritage(X)) | ![X: $i] : (~merlot(X)) | ![X: $i] : (~meursault(X)) | ![X: $i] : (~muscadet(X)) | ![X: $i] : (~pauillac(X)) | ![X: $i] : (~petitesyrah(X)) | ![X: $i] : (~pinotblanc(X)) | ![X: $i] : (~pinotnoir(X)) | ![X: $i] : (~port(X)) | ![X: $i] : (~potableliquid(X)) | ![X: $i] : (~redbordeaux(X)) | ![X: $i] : (~redburgundy(X)) | ![X: $i] : (~redtablewine(X)) | ![X: $i] : (~redwine(X)) | ![X: $i] : (~region(X)) | ![X: $i] : (~riesling(X)) | ![X: $i] : (~rosewine(X)) | ![X: $i] : (~sancerre(X)) | ![X: $i] : (~sauternes(X)) | ![X: $i] : (~sauvignonblanc(X)) | ![X: $i] : (~semillon(X)) | ![X: $i] : (~semillonorsauvignonblanc(X)) | ![X: $i] : (~stemilion(X)) | ![X: $i] : (~sweetriesling(X)) | ![X: $i] : (~sweetwine(X)) | ![X: $i] : (~tablewine(X)) | ![X: $i] : (~texaswine(X)) | ![X: $i] : (~vintage(X)) | ![X: $i] : (~vintageyear(X)) | ![X: $i] : (~whitebordeaux(X)) | ![X: $i] : (~whiteburgundy(X)) | ![X: $i] : (~whiteloire(X)) | ![X: $i] : (~whitenonsweetwine(X)) | ![X: $i] : (~whitetablewine(X)) | ![X: $i] : (~whitewine(X)) | ![X: $i] : (~wine(X)) | ![X: $i] : (~winebody(X)) | ![X: $i] : (~winecolor(X)) | ![X: $i] : (~winedescriptor(X)) | ![X: $i] : (~wineflavor(X)) | ![X: $i] : (~winegrape(X)) | ![X: $i] : (~winesugar(X)) | ![X: $i] : (~winery(X)) | ![X: $i] : (~winetaste(X)) | ![X: $i] : (~zinfandel(X)) | ![Y: $i, X: $i] : (~hasbody(X, Y)) | ![Y: $i, X: $i] : (~hascolor(X, Y)) | ![Y: $i, X: $i] : (~hasflavor(X, Y)) | ![Y: $i, X: $i] : (~hasmaker(X, Y)) | ![Y: $i, X: $i] : (~hassugar(X, Y)) | ![Y: $i, X: $i] : (~hasvintageyear(X, Y)) | ![Y: $i, X: $i] : (~haswinedescriptor(X, Y)) | ![Y: $i, X: $i] : (~locatedin(X, Y)) | ![Y: $i, X: $i] : (~madefromgrape(X, Y)) | ![Y: $i, X: $i] : (~madefromfruit(X, Y)) | ![Y: $i, X: $i] : (~madeintowine(X, Y)) | ![Y: $i, X: $i] : (~produceswine(X, Y)))),
% 1.70/1.39 inference(rewrite,[status(thm)],[])).
% 1.70/1.39 tff(2792,plain,
% 1.70/1.39 ((?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y)) <=> (?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.39 inference(rewrite,[status(thm)],[])).
% 1.70/1.39 tff(2793,plain,
% 1.70/1.39 ((~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))) <=> (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y)))),
% 1.70/1.39 inference(monotonicity,[status(thm)],[2792])).
% 1.70/1.39 tff(2794,plain,
% 1.70/1.39 ((~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))) <=> (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y)))),
% 1.70/1.40 inference(rewrite,[status(thm)],[])).
% 1.70/1.40 tff(2795,plain,
% 1.70/1.40 ((~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X)) & ?[X: $i] : bordeaux(X)) & ?[X: $i] : burgundy(X)) & ?[X: $i] : anjou(X)) & ?[X: $i] : beaujolais(X)) & ?[X: $i] : cabernetfranc(X)) & ?[X: $i] : cabernetsauvignon(X)) & ?[X: $i] : californiawine(X)) & ?[X: $i] : chardonnay(X)) & ?[X: $i] : cheninblanc(X)) & ?[X: $i] : chianti(X)) & ?[X: $i] : cotesdor(X)) & ?[X: $i] : dessertwine(X)) & ?[X: $i] : dryriesling(X)) & ?[X: $i] : dryredwine(X)) & ?[X: $i] : drywhitewine(X)) & ?[X: $i] : drywine(X)) & ?[X: $i] : fullbodiedwine(X)) & ?[X: $i] : gamay(X)) & ?[X: $i] : germanwine(X)) & ?[X: $i] : grape(X)) & ?[X: $i] : icewine(X)) & ?[X: $i] : italianwine(X)) & ?[X: $i] : lateharvest(X)) & ?[X: $i] : loire(X)) & ?[X: $i] : margaux(X)) & ?[X: $i] : medoc(X)) & ?[X: $i] : meritage(X)) & ?[X: $i] : merlot(X)) & ?[X: $i] : meursault(X)) & ?[X: $i] : muscadet(X)) & ?[X: $i] : pauillac(X)) & ?[X: $i] : petitesyrah(X)) & ?[X: $i] : pinotblanc(X)) & ?[X: $i] : pinotnoir(X)) & ?[X: $i] : port(X)) & ?[X: $i] : potableliquid(X)) & ?[X: $i] : redbordeaux(X)) & ?[X: $i] : redburgundy(X)) & ?[X: $i] : redtablewine(X)) & ?[X: $i] : redwine(X)) & ?[X: $i] : region(X)) & ?[X: $i] : riesling(X)) & ?[X: $i] : rosewine(X)) & ?[X: $i] : sancerre(X)) & ?[X: $i] : sauternes(X)) & ?[X: $i] : sauvignonblanc(X)) & ?[X: $i] : semillon(X)) & ?[X: $i] : semillonorsauvignonblanc(X)) & ?[X: $i] : stemilion(X)) & ?[X: $i] : sweetriesling(X)) & ?[X: $i] : sweetwine(X)) & ?[X: $i] : tablewine(X)) & ?[X: $i] : texaswine(X)) & ?[X: $i] : vintage(X)) & ?[X: $i] : vintageyear(X)) & ?[X: $i] : whitebordeaux(X)) & ?[X: $i] : whiteburgundy(X)) & ?[X: $i] : whiteloire(X)) & ?[X: $i] : whitenonsweetwine(X)) & ?[X: $i] : whitetablewine(X)) & ?[X: $i] : whitewine(X)) & ?[X: $i] : wine(X)) & ?[X: $i] : winebody(X)) & ?[X: $i] : winecolor(X)) & ?[X: $i] : winedescriptor(X)) & ?[X: $i] : wineflavor(X)) & ?[X: $i] : winegrape(X)) & ?[X: $i] : winesugar(X)) & ?[X: $i] : winery(X)) & ?[X: $i] : winetaste(X)) & ?[X: $i] : zinfandel(X)) & ?[Y: $i, X: $i] : hasbody(X, Y)) & ?[Y: $i, X: $i] : hascolor(X, Y)) & ?[Y: $i, X: $i] : hasflavor(X, Y)) & ?[Y: $i, X: $i] : hasmaker(X, Y)) & ?[Y: $i, X: $i] : hassugar(X, Y)) & ?[Y: $i, X: $i] : hasvintageyear(X, Y)) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y)) & ?[Y: $i, X: $i] : locatedin(X, Y)) & ?[Y: $i, X: $i] : madefromgrape(X, Y)) & ?[Y: $i, X: $i] : madefromfruit(X, Y)) & ?[Y: $i, X: $i] : madeintowine(X, Y)) & ?[Y: $i, X: $i] : produceswine(X, Y))) <=> (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y)))),
% 1.70/1.40 inference(rewrite,[status(thm)],[])).
% 1.70/1.40 tff(2796,axiom,(~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X)) & ?[X: $i] : bordeaux(X)) & ?[X: $i] : burgundy(X)) & ?[X: $i] : anjou(X)) & ?[X: $i] : beaujolais(X)) & ?[X: $i] : cabernetfranc(X)) & ?[X: $i] : cabernetsauvignon(X)) & ?[X: $i] : californiawine(X)) & ?[X: $i] : chardonnay(X)) & ?[X: $i] : cheninblanc(X)) & ?[X: $i] : chianti(X)) & ?[X: $i] : cotesdor(X)) & ?[X: $i] : dessertwine(X)) & ?[X: $i] : dryriesling(X)) & ?[X: $i] : dryredwine(X)) & ?[X: $i] : drywhitewine(X)) & ?[X: $i] : drywine(X)) & ?[X: $i] : fullbodiedwine(X)) & ?[X: $i] : gamay(X)) & ?[X: $i] : germanwine(X)) & ?[X: $i] : grape(X)) & ?[X: $i] : icewine(X)) & ?[X: $i] : italianwine(X)) & ?[X: $i] : lateharvest(X)) & ?[X: $i] : loire(X)) & ?[X: $i] : margaux(X)) & ?[X: $i] : medoc(X)) & ?[X: $i] : meritage(X)) & ?[X: $i] : merlot(X)) & ?[X: $i] : meursault(X)) & ?[X: $i] : muscadet(X)) & ?[X: $i] : pauillac(X)) & ?[X: $i] : petitesyrah(X)) & ?[X: $i] : pinotblanc(X)) & ?[X: $i] : pinotnoir(X)) & ?[X: $i] : port(X)) & ?[X: $i] : potableliquid(X)) & ?[X: $i] : redbordeaux(X)) & ?[X: $i] : redburgundy(X)) & ?[X: $i] : redtablewine(X)) & ?[X: $i] : redwine(X)) & ?[X: $i] : region(X)) & ?[X: $i] : riesling(X)) & ?[X: $i] : rosewine(X)) & ?[X: $i] : sancerre(X)) & ?[X: $i] : sauternes(X)) & ?[X: $i] : sauvignonblanc(X)) & ?[X: $i] : semillon(X)) & ?[X: $i] : semillonorsauvignonblanc(X)) & ?[X: $i] : stemilion(X)) & ?[X: $i] : sweetriesling(X)) & ?[X: $i] : sweetwine(X)) & ?[X: $i] : tablewine(X)) & ?[X: $i] : texaswine(X)) & ?[X: $i] : vintage(X)) & ?[X: $i] : vintageyear(X)) & ?[X: $i] : whitebordeaux(X)) & ?[X: $i] : whiteburgundy(X)) & ?[X: $i] : whiteloire(X)) & ?[X: $i] : whitenonsweetwine(X)) & ?[X: $i] : whitetablewine(X)) & ?[X: $i] : whitewine(X)) & ?[X: $i] : wine(X)) & ?[X: $i] : winebody(X)) & ?[X: $i] : winecolor(X)) & ?[X: $i] : winedescriptor(X)) & ?[X: $i] : wineflavor(X)) & ?[X: $i] : winegrape(X)) & ?[X: $i] : winesugar(X)) & ?[X: $i] : winery(X)) & ?[X: $i] : winetaste(X)) & ?[X: $i] : zinfandel(X)) & ?[Y: $i, X: $i] : hasbody(X, Y)) & ?[Y: $i, X: $i] : hascolor(X, Y)) & ?[Y: $i, X: $i] : hasflavor(X, Y)) & ?[Y: $i, X: $i] : hasmaker(X, Y)) & ?[Y: $i, X: $i] : hassugar(X, Y)) & ?[Y: $i, X: $i] : hasvintageyear(X, Y)) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y)) & ?[Y: $i, X: $i] : locatedin(X, Y)) & ?[Y: $i, X: $i] : madefromgrape(X, Y)) & ?[Y: $i, X: $i] : madefromfruit(X, Y)) & ?[Y: $i, X: $i] : madeintowine(X, Y)) & ?[Y: $i, X: $i] : produceswine(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','all')).
% 1.70/1.40 tff(2797,plain,
% 1.70/1.40 (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.40 inference(modus_ponens,[status(thm)],[2796, 2795])).
% 1.70/1.40 tff(2798,plain,
% 1.70/1.40 (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.40 inference(modus_ponens,[status(thm)],[2797, 2793])).
% 1.70/1.40 tff(2799,plain,
% 1.70/1.40 (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.40 inference(modus_ponens,[status(thm)],[2798, 2794])).
% 1.70/1.40 tff(2800,plain,
% 1.70/1.40 (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.40 inference(modus_ponens,[status(thm)],[2799, 2793])).
% 1.70/1.40 tff(2801,plain,
% 1.70/1.40 (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.40 inference(modus_ponens,[status(thm)],[2800, 2793])).
% 1.70/1.40 tff(2802,plain,
% 1.70/1.40 (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.43 inference(modus_ponens,[status(thm)],[2801, 2793])).
% 1.70/1.43 tff(2803,plain,
% 1.70/1.43 (~(?[X: $i] : californiawine(X) & ?[X: $i] : americanwine(X) & ?[X: $i] : bordeaux(X) & ?[X: $i] : burgundy(X) & ?[X: $i] : anjou(X) & ?[X: $i] : beaujolais(X) & ?[X: $i] : cabernetfranc(X) & ?[X: $i] : cabernetsauvignon(X) & ?[X: $i] : chardonnay(X) & ?[X: $i] : cheninblanc(X) & ?[X: $i] : chianti(X) & ?[X: $i] : cotesdor(X) & ?[X: $i] : dessertwine(X) & ?[X: $i] : dryriesling(X) & ?[X: $i] : dryredwine(X) & ?[X: $i] : drywhitewine(X) & ?[X: $i] : drywine(X) & ?[X: $i] : fullbodiedwine(X) & ?[X: $i] : gamay(X) & ?[X: $i] : germanwine(X) & ?[X: $i] : grape(X) & ?[X: $i] : icewine(X) & ?[X: $i] : italianwine(X) & ?[X: $i] : lateharvest(X) & ?[X: $i] : loire(X) & ?[X: $i] : margaux(X) & ?[X: $i] : medoc(X) & ?[X: $i] : meritage(X) & ?[X: $i] : merlot(X) & ?[X: $i] : meursault(X) & ?[X: $i] : muscadet(X) & ?[X: $i] : pauillac(X) & ?[X: $i] : petitesyrah(X) & ?[X: $i] : pinotblanc(X) & ?[X: $i] : pinotnoir(X) & ?[X: $i] : port(X) & ?[X: $i] : potableliquid(X) & ?[X: $i] : redbordeaux(X) & ?[X: $i] : redburgundy(X) & ?[X: $i] : redtablewine(X) & ?[X: $i] : redwine(X) & ?[X: $i] : region(X) & ?[X: $i] : riesling(X) & ?[X: $i] : rosewine(X) & ?[X: $i] : sancerre(X) & ?[X: $i] : sauternes(X) & ?[X: $i] : sauvignonblanc(X) & ?[X: $i] : semillon(X) & ?[X: $i] : semillonorsauvignonblanc(X) & ?[X: $i] : stemilion(X) & ?[X: $i] : sweetriesling(X) & ?[X: $i] : sweetwine(X) & ?[X: $i] : tablewine(X) & ?[X: $i] : texaswine(X) & ?[X: $i] : vintage(X) & ?[X: $i] : vintageyear(X) & ?[X: $i] : whitebordeaux(X) & ?[X: $i] : whiteburgundy(X) & ?[X: $i] : whiteloire(X) & ?[X: $i] : whitenonsweetwine(X) & ?[X: $i] : whitetablewine(X) & ?[X: $i] : whitewine(X) & ?[X: $i] : wine(X) & ?[X: $i] : winebody(X) & ?[X: $i] : winecolor(X) & ?[X: $i] : winedescriptor(X) & ?[X: $i] : wineflavor(X) & ?[X: $i] : winegrape(X) & ?[X: $i] : winesugar(X) & ?[X: $i] : winery(X) & ?[X: $i] : winetaste(X) & ?[X: $i] : zinfandel(X) & ?[Y: $i, X: $i] : hasbody(X, Y) & ?[Y: $i, X: $i] : hascolor(X, Y) & ?[Y: $i, X: $i] : hasflavor(X, Y) & ?[Y: $i, X: $i] : hasmaker(X, Y) & ?[Y: $i, X: $i] : hassugar(X, Y) & ?[Y: $i, X: $i] : hasvintageyear(X, Y) & ?[Y: $i, X: $i] : haswinedescriptor(X, Y) & ?[Y: $i, X: $i] : locatedin(X, Y) & ?[Y: $i, X: $i] : madefromgrape(X, Y) & ?[Y: $i, X: $i] : madefromfruit(X, Y) & ?[Y: $i, X: $i] : madeintowine(X, Y) & ?[Y: $i, X: $i] : produceswine(X, Y))),
% 1.70/1.43 inference(modus_ponens,[status(thm)],[2802, 2793])).
% 1.70/1.43 unexpected number of arguments: (let ((a!1 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (californiawine X)) (not (californiawine X))))))
% 1.70/1.43 (a!2 (exists ((X $i)) (californiawine X)))
% 1.70/1.43 (a!3 (forall ((X $i)) (not (californiawine X))))
% 1.70/1.43 (a!4 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (americanwine X)) (not (americanwine X))))))
% 1.70/1.43 (a!5 (exists ((X $i)) (americanwine X)))
% 1.70/1.43 (a!6 (forall ((X $i)) (not (americanwine X))))
% 1.70/1.43 (a!7 (lambda ((X $i)) (refl (~ (not (bordeaux X)) (not (bordeaux X))))))
% 1.70/1.43 (a!8 (exists ((X $i)) (bordeaux X)))
% 1.70/1.43 (a!9 (forall ((X $i)) (not (bordeaux X))))
% 1.70/1.43 (a!10 (lambda ((X $i)) (refl (~ (not (burgundy X)) (not (burgundy X))))))
% 1.70/1.43 (a!11 (exists ((X $i)) (burgundy X)))
% 1.70/1.43 (a!12 (forall ((X $i)) (not (burgundy X))))
% 1.70/1.43 (a!13 (lambda ((X $i)) (refl (~ (not (anjou X)) (not (anjou X))))))
% 1.70/1.43 (a!14 (exists ((X $i)) (anjou X)))
% 1.70/1.43 (a!15 (forall ((X $i)) (not (anjou X))))
% 1.70/1.43 (a!16 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (beaujolais X)) (not (beaujolais X))))))
% 1.70/1.43 (a!17 (exists ((X $i)) (beaujolais X)))
% 1.70/1.43 (a!18 (forall ((X $i)) (not (beaujolais X))))
% 1.70/1.43 (a!19 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (cabernetfranc X)) (not (cabernetfranc X))))))
% 1.70/1.43 (a!20 (exists ((X $i)) (cabernetfranc X)))
% 1.70/1.43 (a!21 (forall ((X $i)) (not (cabernetfranc X))))
% 1.70/1.43 (a!22 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (cabernetsauvignon X)) (not (cabernetsauvignon X))))))
% 1.70/1.43 (a!23 (exists ((X $i)) (cabernetsauvignon X)))
% 1.70/1.43 (a!24 (forall ((X $i)) (not (cabernetsauvignon X))))
% 1.70/1.43 (a!25 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (chardonnay X)) (not (chardonnay X))))))
% 1.70/1.43 (a!26 (exists ((X $i)) (chardonnay X)))
% 1.70/1.43 (a!27 (forall ((X $i)) (not (chardonnay X))))
% 1.70/1.43 (a!28 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (cheninblanc X)) (not (cheninblanc X))))))
% 1.70/1.43 (a!29 (exists ((X $i)) (cheninblanc X)))
% 1.70/1.43 (a!30 (forall ((X $i)) (not (cheninblanc X))))
% 1.70/1.43 (a!31 (lambda ((X $i)) (refl (~ (not (chianti X)) (not (chianti X))))))
% 1.70/1.43 (a!32 (exists ((X $i)) (chianti X)))
% 1.70/1.43 (a!33 (forall ((X $i)) (not (chianti X))))
% 1.70/1.43 (a!34 (lambda ((X $i)) (refl (~ (not (cotesdor X)) (not (cotesdor X))))))
% 1.70/1.43 (a!35 (exists ((X $i)) (cotesdor X)))
% 1.70/1.43 (a!36 (forall ((X $i)) (not (cotesdor X))))
% 1.70/1.43 (a!37 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (dessertwine X)) (not (dessertwine X))))))
% 1.70/1.43 (a!38 (exists ((X $i)) (dessertwine X)))
% 1.70/1.43 (a!39 (forall ((X $i)) (not (dessertwine X))))
% 1.70/1.43 (a!40 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (dryriesling X)) (not (dryriesling X))))))
% 1.70/1.43 (a!41 (exists ((X $i)) (dryriesling X)))
% 1.70/1.43 (a!42 (forall ((X $i)) (not (dryriesling X))))
% 1.70/1.43 (a!43 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (dryredwine X)) (not (dryredwine X))))))
% 1.70/1.43 (a!44 (exists ((X $i)) (dryredwine X)))
% 1.70/1.43 (a!45 (forall ((X $i)) (not (dryredwine X))))
% 1.70/1.43 (a!46 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (drywhitewine X)) (not (drywhitewine X))))))
% 1.70/1.43 (a!47 (exists ((X $i)) (drywhitewine X)))
% 1.70/1.43 (a!48 (forall ((X $i)) (not (drywhitewine X))))
% 1.70/1.43 (a!49 (lambda ((X $i)) (refl (~ (not (drywine X)) (not (drywine X))))))
% 1.70/1.43 (a!50 (exists ((X $i)) (drywine X)))
% 1.70/1.43 (a!51 (forall ((X $i)) (not (drywine X))))
% 1.70/1.43 (a!52 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (fullbodiedwine X)) (not (fullbodiedwine X))))))
% 1.70/1.43 (a!53 (exists ((X $i)) (fullbodiedwine X)))
% 1.70/1.43 (a!54 (forall ((X $i)) (not (fullbodiedwine X))))
% 1.70/1.43 (a!55 (lambda ((X $i)) (refl (~ (not (gamay X)) (not (gamay X))))))
% 1.70/1.43 (a!56 (exists ((X $i)) (gamay X)))
% 1.70/1.43 (a!57 (forall ((X $i)) (not (gamay X))))
% 1.70/1.43 (a!58 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (germanwine X)) (not (germanwine X))))))
% 1.70/1.43 (a!59 (exists ((X $i)) (germanwine X)))
% 1.70/1.43 (a!60 (forall ((X $i)) (not (germanwine X))))
% 1.70/1.43 (a!61 (lambda ((X $i)) (refl (~ (not (grape X)) (not (grape X))))))
% 1.70/1.43 (a!62 (exists ((X $i)) (grape X)))
% 1.70/1.43 (a!63 (forall ((X $i)) (not (grape X))))
% 1.70/1.43 (a!64 (lambda ((X $i)) (refl (~ (not (icewine X)) (not (icewine X))))))
% 1.70/1.43 (a!65 (exists ((X $i)) (icewine X)))
% 1.70/1.43 (a!66 (forall ((X $i)) (not (icewine X))))
% 1.70/1.43 (a!67 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (italianwine X)) (not (italianwine X))))))
% 1.70/1.43 (a!68 (exists ((X $i)) (italianwine X)))
% 1.70/1.43 (a!69 (forall ((X $i)) (not (italianwine X))))
% 1.70/1.43 (a!70 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (lateharvest X)) (not (lateharvest X))))))
% 1.70/1.43 (a!71 (exists ((X $i)) (lateharvest X)))
% 1.70/1.43 (a!72 (forall ((X $i)) (not (lateharvest X))))
% 1.70/1.43 (a!73 (lambda ((X $i)) (refl (~ (not (loire X)) (not (loire X))))))
% 1.70/1.43 (a!74 (exists ((X $i)) (loire X)))
% 1.70/1.43 (a!75 (forall ((X $i)) (not (loire X))))
% 1.70/1.43 (a!76 (lambda ((X $i)) (refl (~ (not (margaux X)) (not (margaux X))))))
% 1.70/1.43 (a!77 (exists ((X $i)) (margaux X)))
% 1.70/1.43 (a!78 (forall ((X $i)) (not (margaux X))))
% 1.70/1.43 (a!79 (lambda ((X $i)) (refl (~ (not (medoc X)) (not (medoc X))))))
% 1.70/1.43 (a!80 (exists ((X $i)) (medoc X)))
% 1.70/1.43 (a!81 (forall ((X $i)) (not (medoc X))))
% 1.70/1.43 (a!82 (lambda ((X $i)) (refl (~ (not (meritage X)) (not (meritage X))))))
% 1.70/1.43 (a!83 (exists ((X $i)) (meritage X)))
% 1.70/1.43 (a!84 (forall ((X $i)) (not (meritage X))))
% 1.70/1.43 (a!85 (lambda ((X $i)) (refl (~ (not (merlot X)) (not (merlot X))))))
% 1.70/1.43 (a!86 (exists ((X $i)) (merlot X)))
% 1.70/1.43 (a!87 (forall ((X $i)) (not (merlot X))))
% 1.70/1.43 (a!88 (lambda ((X $i)) (refl (~ (not (meursault X)) (not (meursault X))))))
% 1.70/1.43 (a!89 (exists ((X $i)) (meursault X)))
% 1.70/1.43 (a!90 (forall ((X $i)) (not (meursault X))))
% 1.70/1.43 (a!91 (lambda ((X $i)) (refl (~ (not (muscadet X)) (not (muscadet X))))))
% 1.70/1.43 (a!92 (exists ((X $i)) (muscadet X)))
% 1.70/1.43 (a!93 (forall ((X $i)) (not (muscadet X))))
% 1.70/1.43 (a!94 (lambda ((X $i)) (refl (~ (not (pauillac X)) (not (pauillac X))))))
% 1.70/1.43 (a!95 (exists ((X $i)) (pauillac X)))
% 1.70/1.43 (a!96 (forall ((X $i)) (not (pauillac X))))
% 1.70/1.43 (a!97 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (petitesyrah X)) (not (petitesyrah X))))))
% 1.70/1.43 (a!98 (exists ((X $i)) (petitesyrah X)))
% 1.70/1.43 (a!99 (forall ((X $i)) (not (petitesyrah X))))
% 1.70/1.43 (a!100 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (pinotblanc X)) (not (pinotblanc X))))))
% 1.70/1.43 (a!101 (exists ((X $i)) (pinotblanc X)))
% 1.70/1.43 (a!102 (forall ((X $i)) (not (pinotblanc X))))
% 1.70/1.43 (a!103 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (pinotnoir X)) (not (pinotnoir X))))))
% 1.70/1.43 (a!104 (exists ((X $i)) (pinotnoir X)))
% 1.70/1.43 (a!105 (forall ((X $i)) (not (pinotnoir X))))
% 1.70/1.43 (a!106 (lambda ((X $i)) (refl (~ (not (port X)) (not (port X))))))
% 1.70/1.43 (a!107 (exists ((X $i)) (port X)))
% 1.70/1.43 (a!108 (forall ((X $i)) (not (port X))))
% 1.70/1.43 (a!109 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (potableliquid X)) (not (potableliquid X))))))
% 1.70/1.43 (a!110 (exists ((X $i)) (potableliquid X)))
% 1.70/1.43 (a!111 (forall ((X $i)) (not (potableliquid X))))
% 1.70/1.43 (a!112 (lambda ((X $i))
% 1.70/1.43 (refl (~ (not (redbordeaux X)) (not (redbordeaux X))))))
% 1.70/1.43 (a!113 (exists ((X $i)) (redbordeaux X)))
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% 1.70/1.43 (nnf-neg (proof-bind a!244) (~ (not a!245) a!246))
% 1.70/1.43 (nnf-neg (proof-bind a!247) (~ (not a!248) a!249))
% 1.70/1.43 (nnf-neg (proof-bind a!250) (~ (not a!251) a!252))
% 1.70/1.43 (~ (not (and a!2
% 1.70/1.43 a!5
% 1.70/1.43 a!8
% 1.70/1.43 a!11
% 1.70/1.43 a!14
% 1.70/1.43 a!17
% 1.70/1.43 a!20
% 1.70/1.43 a!23
% 1.70/1.43 a!26
% 1.70/1.43 a!29
% 1.70/1.43 a!32
% 1.70/1.43 a!35
% 1.70/1.43 a!38
% 1.70/1.43 a!41
% 1.70/1.43 a!44
% 1.70/1.43 a!47
% 1.70/1.43 a!50
% 1.70/1.43 a!53
% 1.70/1.43 a!56
% 1.70/1.43 a!59
% 1.70/1.43 a!62
% 1.70/1.43 a!65
% 1.70/1.43 a!68
% 1.70/1.43 a!71
% 1.70/1.43 a!74
% 1.70/1.43 a!77
% 1.70/1.43 a!80
% 1.70/1.43 a!83
% 1.70/1.43 a!86
% 1.70/1.43 a!89
% 1.70/1.43 a!92
% 1.70/1.43 a!95
% 1.70/1.43 a!98
% 1.70/1.43 a!101
% 1.70/1.43 a!104
% 1.70/1.43 a!107
% 1.70/1.43 a!110
% 1.70/1.43 a!113
% 1.70/1.43 a!116
% 1.70/1.43 a!119
% 1.70/1.43 a!122
% 1.70/1.43 a!125
% 1.70/1.43 a!128
% 1.70/1.43 a!131
% 1.70/1.43 a!134
% 1.70/1.43 a!137
% 1.70/1.43 a!140
% 1.70/1.43 a!143
% 1.70/1.43 a!146
% 1.70/1.43 a!149
% 1.70/1.43 a!152
% 1.70/1.43 a!155
% 1.70/1.43 a!158
% 1.70/1.43 a!161
% 1.70/1.43 a!164
% 1.70/1.43 a!167
% 1.70/1.43 a!170
% 1.70/1.43 a!173
% 1.70/1.43 a!176
% 1.70/1.43 a!179
% 1.70/1.43 a!182
% 1.70/1.43 a!185
% 1.70/1.43 a!188
% 1.70/1.43 a!191
% 1.70/1.43 a!194
% 1.70/1.43 a!197
% 1.70/1.43 a!200
% 1.70/1.43 a!203
% 1.70/1.43 a!206
% 1.70/1.43 a!209
% 1.70/1.43 a!212
% 1.70/1.43 a!215
% 1.70/1.43 a!218
% 1.70/1.43 a!221
% 1.70/1.43 a!224
% 1.70/1.43 a!227
% 1.70/1.43 a!230
% 1.70/1.43 a!233
% 1.70/1.43 a!236
% 1.70/1.43 a!239
% 1.70/1.43 a!242
% 1.70/1.43 a!245
% 1.70/1.43 a!248
% 1.70/1.43 a!251))
% 1.70/1.43 (or a!3
% 1.70/1.43 a!6
% 1.70/1.43 a!9
% 1.70/1.43 a!12
% 1.70/1.43 a!15
% 1.70/1.43 a!18
% 1.70/1.43 a!21
% 1.70/1.43 a!24
% 1.70/1.43 a!27
% 1.70/1.43 a!30
% 1.70/1.43 a!33
% 1.70/1.43 a!36
% 1.70/1.43 a!39
% 1.70/1.43 a!42
% 1.70/1.43 a!45
% 1.70/1.43 a!48
% 1.70/1.43 a!51
% 1.70/1.43 a!54
% 1.70/1.43 a!57
% 1.70/1.43 a!60
% 1.70/1.43 a!63
% 1.70/1.43 a!66
% 1.70/1.43 a!69
% 1.70/1.43 a!72
% 1.70/1.43 a!75
% 1.70/1.43 a!78
% 1.70/1.43 a!81
% 1.70/1.43 a!84
% 1.70/1.43 a!87
% 1.70/1.43 a!90
% 1.70/1.43 a!93
% 1.70/1.43 a!96
% 1.70/1.43 a!99
% 1.70/1.43 a!102
% 1.70/1.43 a!105
% 1.70/1.43 a!108
% 1.70/1.43 a!111
% 1.70/1.43 a!114
% 1.70/1.43 a!117
% 1.70/1.43 a!120
% 1.70/1.43 a!123
% 1.70/1.43 a!126
% 1.70/1.43 a!129
% 1.70/1.43 a!132
% 1.70/1.43 a!135
% 1.70/1.43 a!138
% 1.70/1.43 a!141
% 1.70/1.43 a!144
% 1.70/1.43 a!147
% 1.70/1.43 a!150
% 1.70/1.43 a!153
% 1.70/1.43 a!156
% 1.70/1.43 a!159
% 1.70/1.43 a!162
% 1.70/1.43 a!165
% 1.70/1.43 a!168
% 1.70/1.43 a!171
% 1.70/1.43 a!174
% 1.70/1.43 a!177
% 1.70/1.43 a!180
% 1.70/1.43 a!183
% 1.70/1.43 a!186
% 1.70/1.43 a!189
% 1.70/1.43 a!192
% 1.70/1.43 a!195
% 1.70/1.43 a!198
% 1.70/1.43 a!201
% 1.70/1.43 a!204
% 1.70/1.43 a!207
% 1.70/1.43 a!210
% 1.70/1.43 a!213
% 1.70/1.43 a!216
% 1.70/1.43 a!219
% 1.70/1.43 a!222
% 1.70/1.43 a!225
% 1.70/1.43 a!228
% 1.70/1.43 a!231
% 1.70/1.43 a!234
% 1.70/1.43 a!237
% 1.70/1.43 a!240
% 1.70/1.43 a!243
% 1.70/1.43 a!246
% 1.70/1.43 a!249
% 1.70/1.43 a!252))))
% 1.70/1.43 Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------