0.04/0.12 % Problem : Vampire---4.8_27286 : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.35 % Computer : n008.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1440 0.13/0.35 % WCLimit : 180 0.13/0.35 % DateTime : Mon Jul 3 12:56:34 EDT 2023 0.13/0.35 % CPUTime : 0.13/0.35 This is a THF_ problem 0.13/0.35 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286 -m 12000 -t 180 0.21/0.37 % (27402)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.21/0.37 % (27396)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.21/0.37 % (27397)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.21/0.37 % (27399)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.21/0.37 % (27398)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.21/0.37 % (27400)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.21/0.37 % (27395)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.21/0.37 % (27401)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.21/0.37 % (27402)Refutation not found, incomplete strategy 0.21/0.37 % (27402)------------------------------ 0.21/0.37 % (27402)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.37 % (27402)Termination reason: Refutation not found, incomplete strategy 0.21/0.37 0.21/0.37 0.21/0.37 % (27402)Memory used [KB]: 5500 0.21/0.37 % (27402)Time elapsed: 0.004 s 0.21/0.37 % (27402)Instructions burned: 5 (million) 0.21/0.37 % (27402)------------------------------ 0.21/0.37 % (27402)------------------------------ 0.21/0.37 % (27401)Instruction limit reached! 0.21/0.37 % (27401)------------------------------ 0.21/0.37 % (27401)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.37 % (27401)Termination reason: Unknown 0.21/0.37 % (27401)Termination phase: Saturation 0.21/0.37 0.21/0.37 % (27401)Memory used [KB]: 1023 0.21/0.37 % (27401)Time elapsed: 0.005 s 0.21/0.37 % (27401)Instructions burned: 5 (million) 0.21/0.37 % (27401)------------------------------ 0.21/0.37 % (27401)------------------------------ 0.21/0.38 % (27396)Refutation not found, incomplete strategy 0.21/0.38 % (27396)------------------------------ 0.21/0.38 % (27396)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.38 % (27396)Termination reason: Refutation not found, incomplete strategy 0.21/0.38 0.21/0.38 0.21/0.38 % (27396)Memory used [KB]: 5500 0.21/0.38 % (27396)Time elapsed: 0.012 s 0.21/0.38 % (27396)Instructions burned: 15 (million) 0.21/0.38 % (27396)------------------------------ 0.21/0.38 % (27396)------------------------------ 0.21/0.38 % (27399)Instruction limit reached! 0.21/0.38 % (27399)------------------------------ 0.21/0.38 % (27399)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.38 % (27399)Termination reason: Unknown 0.21/0.38 % (27399)Termination phase: Saturation 0.21/0.38 0.21/0.38 % (27399)Memory used [KB]: 5756 0.21/0.38 % (27399)Time elapsed: 0.012 s 0.21/0.38 % (27399)Instructions burned: 17 (million) 0.21/0.38 % (27399)------------------------------ 0.21/0.38 % (27399)------------------------------ 0.21/0.39 % (27403)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.21/0.39 % (27404)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.21/0.39 % (27397)Instruction limit reached! 0.21/0.39 % (27397)------------------------------ 0.21/0.39 % (27397)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.39 % (27397)Termination reason: Unknown 0.21/0.39 % (27397)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (27397)Memory used [KB]: 5756 0.21/0.39 % (27397)Time elapsed: 0.022 s 0.21/0.39 % (27397)Instructions burned: 35 (million) 0.21/0.39 % (27397)------------------------------ 0.21/0.39 % (27397)------------------------------ 0.21/0.39 % (27404)Instruction limit reached! 0.21/0.39 % (27404)------------------------------ 0.21/0.39 % (27404)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.39 % (27404)Termination reason: Unknown 0.21/0.39 % (27404)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (27404)Memory used [KB]: 5500 0.21/0.39 % (27404)Time elapsed: 0.006 s 0.21/0.39 % (27404)Instructions burned: 8 (million) 0.21/0.39 % (27404)------------------------------ 0.21/0.39 % (27404)------------------------------ 0.21/0.40 % (27405)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.21/0.40 % (27406)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.21/0.40 % (27403)Instruction limit reached! 0.21/0.40 % (27403)------------------------------ 0.21/0.40 % (27403)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.40 % (27403)Termination reason: Unknown 0.21/0.40 % (27403)Termination phase: Saturation 0.21/0.40 0.21/0.40 % (27403)Memory used [KB]: 5628 0.21/0.40 % (27403)Time elapsed: 0.013 s 0.21/0.40 % (27403)Instructions burned: 21 (million) 0.21/0.40 % (27403)------------------------------ 0.21/0.40 % (27403)------------------------------ 0.21/0.41 % (27407)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.21/0.41 % (27408)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.21/0.41 % (27407)Instruction limit reached! 0.21/0.41 % (27407)------------------------------ 0.21/0.41 % (27407)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.41 % (27407)Termination reason: Unknown 0.21/0.41 % (27407)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (27407)Memory used [KB]: 5500 0.21/0.41 % (27407)Time elapsed: 0.007 s 0.21/0.41 % (27407)Instructions burned: 11 (million) 0.21/0.41 % (27407)------------------------------ 0.21/0.41 % (27407)------------------------------ 0.21/0.41 % (27409)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.21/0.41 % (27400)Instruction limit reached! 0.21/0.41 % (27400)------------------------------ 0.21/0.41 % (27400)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.41 % (27400)Termination reason: Unknown 0.21/0.41 % (27400)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (27400)Memory used [KB]: 5884 0.21/0.41 % (27400)Time elapsed: 0.043 s 0.21/0.41 % (27400)Instructions burned: 75 (million) 0.21/0.41 % (27400)------------------------------ 0.21/0.41 % (27400)------------------------------ 0.21/0.42 % (27410)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.21/0.43 % (27395)Instruction limit reached! 0.21/0.43 % (27395)------------------------------ 0.21/0.43 % (27395)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (27395)Termination reason: Unknown 0.21/0.43 % (27395)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (27395)Memory used [KB]: 5756 0.21/0.43 % (27395)Time elapsed: 0.057 s 0.21/0.43 % (27395)Instructions burned: 97 (million) 0.21/0.43 % (27395)------------------------------ 0.21/0.43 % (27395)------------------------------ 0.21/0.43 % (27411)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.21/0.43 % (27411)Instruction limit reached! 0.21/0.43 % (27411)------------------------------ 0.21/0.43 % (27411)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (27411)Termination reason: Unknown 0.21/0.43 % (27411)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (27411)Memory used [KB]: 5628 0.21/0.43 % (27411)Time elapsed: 0.010 s 0.21/0.43 % (27411)Instructions burned: 14 (million) 0.21/0.43 % (27411)------------------------------ 0.21/0.43 % (27411)------------------------------ 0.21/0.44 % (27406)Instruction limit reached! 0.21/0.44 % (27406)------------------------------ 0.21/0.44 % (27406)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (27406)Termination reason: Unknown 0.21/0.44 % (27406)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (27406)Memory used [KB]: 5884 0.21/0.44 % (27406)Time elapsed: 0.045 s 0.21/0.44 % (27406)Instructions burned: 72 (million) 0.21/0.44 % (27406)------------------------------ 0.21/0.44 % (27406)------------------------------ 0.21/0.44 % (27412)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.21/0.44 % (27412)Instruction limit reached! 0.21/0.44 % (27412)------------------------------ 0.21/0.44 % (27412)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (27412)Termination reason: Unknown 0.21/0.44 % (27412)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (27412)Memory used [KB]: 1023 0.21/0.44 % (27412)Time elapsed: 0.003 s 0.21/0.44 % (27412)Instructions burned: 2 (million) 0.21/0.44 % (27412)------------------------------ 0.21/0.44 % (27412)------------------------------ 0.21/0.45 % (27413)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1799ds/1041Mi) 0.21/0.45 % (27414)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1799ds/11Mi) 0.21/0.46 % (27415)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1799ds/140Mi) 0.21/0.46 % (27414)Instruction limit reached! 0.21/0.46 % (27414)------------------------------ 0.21/0.46 % (27414)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (27414)Termination reason: Unknown 0.21/0.46 % (27414)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (27414)Memory used [KB]: 5500 0.21/0.46 % (27414)Time elapsed: 0.006 s 0.21/0.46 % (27414)Instructions burned: 11 (million) 0.21/0.46 % (27414)------------------------------ 0.21/0.46 % (27414)------------------------------ 0.21/0.46 % (27410)Instruction limit reached! 0.21/0.46 % (27410)------------------------------ 0.21/0.46 % (27410)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (27410)Termination reason: Unknown 0.21/0.46 % (27410)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (27410)Memory used [KB]: 5756 0.21/0.46 % (27410)Time elapsed: 0.036 s 0.21/0.46 % (27410)Instructions burned: 61 (million) 0.21/0.46 % (27410)------------------------------ 0.21/0.46 % (27410)------------------------------ 0.21/0.46 % (27415)Refutation not found, incomplete strategy 0.21/0.46 % (27415)------------------------------ 0.21/0.46 % (27415)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (27415)Termination reason: Refutation not found, incomplete strategy 0.21/0.46 0.21/0.46 0.21/0.46 % (27415)Memory used [KB]: 5500 0.21/0.46 % (27415)Time elapsed: 0.007 s 0.21/0.46 % (27415)Instructions burned: 9 (million) 0.21/0.46 % (27415)------------------------------ 0.21/0.46 % (27415)------------------------------ 0.21/0.47 % (27416)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1799ds/26Mi) 0.21/0.47 % (27409)Instruction limit reached! 0.21/0.47 % (27409)------------------------------ 0.21/0.47 % (27409)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (27409)Termination reason: Unknown 0.21/0.47 % (27409)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (27409)Memory used [KB]: 5884 0.21/0.47 % (27409)Time elapsed: 0.059 s 0.21/0.47 % (27409)Instructions burned: 130 (million) 0.21/0.47 % (27409)------------------------------ 0.21/0.47 % (27409)------------------------------ 0.21/0.47 % (27417)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1799ds/56Mi) 0.21/0.47 % (27416)Instruction limit reached! 0.21/0.47 % (27416)------------------------------ 0.21/0.47 % (27416)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (27416)Termination reason: Unknown 0.21/0.47 % (27416)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (27416)Memory used [KB]: 5500 0.21/0.47 % (27416)Time elapsed: 0.008 s 0.21/0.47 % (27416)Instructions burned: 28 (million) 0.21/0.47 % (27416)------------------------------ 0.21/0.47 % (27416)------------------------------ 0.21/0.48 % (27418)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1799ds/275Mi) 0.21/0.48 % (27418)Refutation not found, incomplete strategy 0.21/0.48 % (27418)------------------------------ 0.21/0.48 % (27418)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (27418)Termination reason: Refutation not found, incomplete strategy 0.21/0.48 0.21/0.48 0.21/0.48 % (27418)Memory used [KB]: 5628 0.21/0.48 % (27418)Time elapsed: 0.004 s 0.21/0.48 % (27418)Instructions burned: 7 (million) 0.21/0.48 % (27418)------------------------------ 0.21/0.48 % (27418)------------------------------ 0.21/0.48 % (27419)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1799ds/3Mi) 0.21/0.48 % (27420)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1798ds/19Mi) 0.21/0.48 % (27419)Instruction limit reached! 0.21/0.48 % (27419)------------------------------ 0.21/0.48 % (27419)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (27419)Termination reason: Unknown 0.21/0.48 % (27419)Termination phase: Preprocessing 1 0.21/0.48 0.21/0.48 % (27419)Memory used [KB]: 1023 0.21/0.48 % (27419)Time elapsed: 0.003 s 0.21/0.48 % (27419)Instructions burned: 3 (million) 0.21/0.48 % (27419)------------------------------ 0.21/0.48 % (27419)------------------------------ 0.21/0.49 % (27420)Refutation not found, incomplete strategy 0.21/0.49 % (27420)------------------------------ 0.21/0.49 % (27420)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (27420)Termination reason: Refutation not found, incomplete strategy 0.21/0.49 0.21/0.49 0.21/0.49 % (27420)Memory used [KB]: 5628 0.21/0.49 % (27420)Time elapsed: 0.005 s 0.21/0.49 % (27420)Instructions burned: 13 (million) 0.21/0.49 % (27420)------------------------------ 0.21/0.49 % (27420)------------------------------ 0.21/0.49 % (27421)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1798ds/44Mi) 0.21/0.49 % (27417)Instruction limit reached! 0.21/0.49 % (27417)------------------------------ 0.21/0.49 % (27417)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (27417)Termination reason: Unknown 0.21/0.49 % (27417)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (27417)Memory used [KB]: 1279 0.21/0.49 % (27417)Time elapsed: 0.019 s 0.21/0.49 % (27417)Instructions burned: 56 (million) 0.21/0.49 % (27417)------------------------------ 0.21/0.49 % (27417)------------------------------ 0.21/0.50 % (27423)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1798ds/62Mi) 0.21/0.50 % (27422)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi) 0.21/0.50 % (27424)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1798ds/105Mi) 0.21/0.50 % (27421)Instruction limit reached! 0.21/0.50 % (27421)------------------------------ 0.21/0.50 % (27421)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (27421)Termination reason: Unknown 0.21/0.50 % (27421)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (27421)Memory used [KB]: 1279 0.21/0.50 % (27421)Time elapsed: 0.015 s 0.21/0.50 % (27421)Instructions burned: 45 (million) 0.21/0.50 % (27421)------------------------------ 0.21/0.50 % (27421)------------------------------ 0.21/0.51 % (27425)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.21/0.52 % (27423)Instruction limit reached! 0.21/0.52 % (27423)------------------------------ 0.21/0.52 % (27423)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (27423)Termination reason: Unknown 0.21/0.52 % (27423)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (27423)Memory used [KB]: 6012 0.21/0.52 % (27423)Time elapsed: 0.021 s 0.21/0.52 % (27423)Instructions burned: 62 (million) 0.21/0.52 % (27423)------------------------------ 0.21/0.52 % (27423)------------------------------ 0.21/0.52 % (27425)Instruction limit reached! 0.21/0.52 % (27425)------------------------------ 0.21/0.52 % (27425)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (27425)Termination reason: Unknown 0.21/0.52 % (27425)Termination phase: Property scanning 0.21/0.52 0.21/0.52 % (27425)Memory used [KB]: 1023 0.21/0.52 % (27425)Time elapsed: 0.003 s 0.21/0.52 % (27425)Instructions burned: 4 (million) 0.21/0.52 % (27425)------------------------------ 0.21/0.52 % (27425)------------------------------ 0.21/0.52 % (27426)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=238:si=on:rtra=on_0 on Vampire---4 for (1798ds/238Mi) 0.21/0.53 % (27427)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi) 0.21/0.53 % (27427)Instruction limit reached! 0.21/0.53 % (27427)------------------------------ 0.21/0.53 % (27427)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (27427)Termination reason: Unknown 0.21/0.53 % (27427)Termination phase: Property scanning 0.21/0.53 0.21/0.53 % (27427)Memory used [KB]: 1023 0.21/0.53 % (27427)Time elapsed: 0.002 s 0.21/0.53 % (27427)Instructions burned: 3 (million) 0.21/0.53 % (27427)------------------------------ 0.21/0.53 % (27427)------------------------------ 0.21/0.53 % (27424)Instruction limit reached! 0.21/0.53 % (27424)------------------------------ 0.21/0.53 % (27424)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (27424)Termination reason: Unknown 0.21/0.53 % (27424)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (27424)Memory used [KB]: 6012 0.21/0.53 % (27424)Time elapsed: 0.035 s 0.21/0.53 % (27424)Instructions burned: 106 (million) 0.21/0.53 % (27424)------------------------------ 0.21/0.53 % (27424)------------------------------ 0.21/0.53 % (27398)Instruction limit reached! 0.21/0.53 % (27398)------------------------------ 0.21/0.53 % (27398)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.53 % (27398)Termination reason: Unknown 0.21/0.53 % (27398)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (27398)Memory used [KB]: 6396 0.21/0.53 % (27398)Time elapsed: 0.164 s 0.21/0.53 % (27398)Instructions burned: 385 (million) 0.21/0.53 % (27398)------------------------------ 0.21/0.53 % (27398)------------------------------ 0.21/0.54 % (27429)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1798ds/149Mi) 0.21/0.54 % (27430)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1798ds/150Mi) 1.62/0.54 % (27428)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (1798ds/4Mi) 1.62/0.55 % (27428)Instruction limit reached! 1.62/0.55 % (27428)------------------------------ 1.62/0.55 % (27428)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.62/0.55 % (27428)Termination reason: Unknown 1.62/0.55 % (27428)Termination phase: Property scanning 1.62/0.55 1.62/0.55 % (27428)Memory used [KB]: 1023 1.62/0.55 % (27428)Time elapsed: 0.003 s 1.62/0.55 % (27428)Instructions burned: 5 (million) 1.62/0.55 % (27428)------------------------------ 1.62/0.55 % (27428)------------------------------ 1.62/0.55 % (27431)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1798ds/199Mi) 1.75/0.58 % (27422)Instruction limit reached! 1.75/0.58 % (27422)------------------------------ 1.75/0.58 % (27422)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.58 % (27422)Termination reason: Unknown 1.75/0.58 % (27422)Termination phase: Saturation 1.75/0.58 1.75/0.58 % (27422)Memory used [KB]: 6524 1.75/0.58 % (27422)Time elapsed: 0.082 s 1.75/0.58 % (27422)Instructions burned: 191 (million) 1.75/0.58 % (27422)------------------------------ 1.75/0.58 % (27422)------------------------------ 1.75/0.59 % (27430)Instruction limit reached! 1.75/0.59 % (27430)------------------------------ 1.75/0.59 % (27430)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.59 % (27430)Termination reason: Unknown 1.75/0.59 % (27430)Termination phase: Saturation 1.75/0.59 1.75/0.59 % (27430)Memory used [KB]: 6012 1.75/0.59 % (27430)Time elapsed: 0.046 s 1.75/0.59 % (27430)Instructions burned: 150 (million) 1.75/0.59 % (27430)------------------------------ 1.75/0.59 % (27430)------------------------------ 1.75/0.59 % (27432)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1797ds/39Mi) 1.75/0.59 % (27429)Instruction limit reached! 1.75/0.59 % (27429)------------------------------ 1.75/0.59 % (27429)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.59 % (27429)Termination reason: Unknown 1.75/0.59 % (27429)Termination phase: Saturation 1.75/0.59 1.75/0.59 % (27429)Memory used [KB]: 6012 1.75/0.59 % (27429)Time elapsed: 0.073 s 1.75/0.59 % (27429)Instructions burned: 151 (million) 1.75/0.59 % (27429)------------------------------ 1.75/0.59 % (27429)------------------------------ 1.75/0.59 % (27433)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1797ds/721Mi) 1.75/0.60 % (27426)Instruction limit reached! 1.75/0.60 % (27426)------------------------------ 1.75/0.60 % (27426)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.60 % (27426)Termination reason: Unknown 1.75/0.60 % (27426)Termination phase: Saturation 1.75/0.60 1.75/0.60 % (27426)Memory used [KB]: 6012 1.75/0.60 % (27426)Time elapsed: 0.076 s 1.75/0.60 % (27426)Instructions burned: 240 (million) 1.75/0.60 % (27426)------------------------------ 1.75/0.60 % (27426)------------------------------ 1.75/0.60 % (27434)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.75/0.60 % (27434)Instruction limit reached! 1.75/0.60 % (27434)------------------------------ 1.75/0.60 % (27434)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.60 % (27434)Termination reason: Unknown 1.75/0.60 % (27434)Termination phase: Property scanning 1.75/0.60 1.75/0.60 % (27434)Memory used [KB]: 1023 1.75/0.60 % (27434)Time elapsed: 0.002 s 1.75/0.60 % (27434)Instructions burned: 4 (million) 1.75/0.60 % (27434)------------------------------ 1.75/0.60 % (27434)------------------------------ 1.75/0.61 % (27432)Instruction limit reached! 1.75/0.61 % (27432)------------------------------ 1.75/0.61 % (27432)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.61 % (27432)Termination reason: Unknown 1.75/0.61 % (27432)Termination phase: Saturation 1.75/0.61 1.75/0.61 % (27432)Memory used [KB]: 5756 1.75/0.61 % (27432)Time elapsed: 0.019 s 1.75/0.61 % (27432)Instructions burned: 39 (million) 1.75/0.61 % (27432)------------------------------ 1.75/0.61 % (27432)------------------------------ 1.75/0.61 % (27435)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (1797ds/18Mi) 1.75/0.61 % (27436)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on Vampire---4 for (1797ds/218Mi) 1.75/0.61 % (27435)Instruction limit reached! 1.75/0.61 % (27435)------------------------------ 1.75/0.61 % (27435)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.75/0.61 % (27435)Termination reason: Unknown 1.75/0.61 % (27435)Termination phase: Saturation 1.75/0.61 1.75/0.61 % (27435)Memory used [KB]: 5628 1.75/0.61 % (27435)Time elapsed: 0.008 s 1.75/0.61 % (27435)Instructions burned: 20 (million) 1.75/0.61 % (27435)------------------------------ 1.75/0.61 % (27435)------------------------------ 1.75/0.62 % (27437)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1797ds/448Mi) 2.13/0.62 % (27438)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1797ds/6Mi) 2.13/0.62 % (27431)Instruction limit reached! 2.13/0.62 % (27431)------------------------------ 2.13/0.62 % (27431)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.62 % (27431)Termination reason: Unknown 2.13/0.62 % (27431)Termination phase: Saturation 2.13/0.62 2.13/0.62 % (27431)Memory used [KB]: 6140 2.13/0.62 % (27431)Time elapsed: 0.070 s 2.13/0.62 % (27431)Instructions burned: 200 (million) 2.13/0.62 % (27431)------------------------------ 2.13/0.62 % (27431)------------------------------ 2.13/0.62 % (27438)Instruction limit reached! 2.13/0.62 % (27438)------------------------------ 2.13/0.62 % (27438)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.62 % (27438)Termination reason: Unknown 2.13/0.62 % (27438)Termination phase: Saturation 2.13/0.62 2.13/0.62 % (27438)Memory used [KB]: 5500 2.13/0.62 % (27438)Time elapsed: 0.003 s 2.13/0.62 % (27438)Instructions burned: 7 (million) 2.13/0.62 % (27438)------------------------------ 2.13/0.62 % (27438)------------------------------ 2.13/0.63 % (27439)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on Vampire---4 for (1797ds/9Mi) 2.13/0.63 % (27440)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1797ds/16Mi) 2.13/0.63 % (27439)Refutation not found, incomplete strategy 2.13/0.63 % (27439)------------------------------ 2.13/0.63 % (27439)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.63 % (27439)Termination reason: Refutation not found, incomplete strategy 2.13/0.63 2.13/0.63 2.13/0.63 % (27439)Memory used [KB]: 5500 2.13/0.63 % (27439)Time elapsed: 0.003 s 2.13/0.63 % (27439)Instructions burned: 7 (million) 2.13/0.63 % (27439)------------------------------ 2.13/0.63 % (27439)------------------------------ 2.13/0.64 % (27440)Instruction limit reached! 2.13/0.64 % (27440)------------------------------ 2.13/0.64 % (27440)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.64 % (27440)Termination reason: Unknown 2.13/0.64 % (27440)Termination phase: Saturation 2.13/0.64 2.13/0.64 % (27440)Memory used [KB]: 5884 2.13/0.64 % (27440)Time elapsed: 0.007 s 2.13/0.64 % (27440)Instructions burned: 16 (million) 2.13/0.64 % (27440)------------------------------ 2.13/0.64 % (27440)------------------------------ 2.13/0.64 % (27441)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on Vampire---4 for (1797ds/40Mi) 2.13/0.65 % (27442)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1797ds/2Mi) 2.13/0.65 % (27442)Instruction limit reached! 2.13/0.65 % (27442)------------------------------ 2.13/0.65 % (27442)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.65 % (27442)Termination reason: Unknown 2.13/0.65 % (27442)Termination phase: Property scanning 2.13/0.65 2.13/0.65 % (27442)Memory used [KB]: 1023 2.13/0.65 % (27442)Time elapsed: 0.002 s 2.13/0.65 % (27442)Instructions burned: 4 (million) 2.13/0.65 % (27442)------------------------------ 2.13/0.65 % (27442)------------------------------ 2.13/0.66 % (27441)Instruction limit reached! 2.13/0.66 % (27441)------------------------------ 2.13/0.66 % (27441)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.13/0.66 % (27441)Termination reason: Unknown 2.13/0.66 % (27441)Termination phase: Saturation 2.13/0.66 2.13/0.66 % (27441)Memory used [KB]: 5756 2.13/0.66 % (27441)Time elapsed: 0.014 s 2.13/0.66 % (27441)Instructions burned: 41 (million) 2.13/0.66 % (27441)------------------------------ 2.13/0.66 % (27441)------------------------------ 2.13/0.66 % (27443)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (1797ds/98Mi) 2.37/0.66 % (27444)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1797ds/8Mi) 2.37/0.67 % (27444)Instruction limit reached! 2.37/0.67 % (27444)------------------------------ 2.37/0.67 % (27444)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.67 % (27444)Termination reason: Unknown 2.37/0.67 % (27444)Termination phase: Saturation 2.37/0.67 2.37/0.67 % (27444)Memory used [KB]: 5500 2.37/0.67 % (27444)Time elapsed: 0.004 s 2.37/0.67 % (27444)Instructions burned: 9 (million) 2.37/0.67 % (27444)------------------------------ 2.37/0.67 % (27444)------------------------------ 2.37/0.68 % (27445)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (1796ds/86Mi) 2.37/0.68 % (27436)Instruction limit reached! 2.37/0.68 % (27436)------------------------------ 2.37/0.68 % (27436)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.68 % (27436)Termination reason: Unknown 2.37/0.68 % (27436)Termination phase: Saturation 2.37/0.68 2.37/0.68 % (27436)Memory used [KB]: 6140 2.37/0.68 % (27436)Time elapsed: 0.070 s 2.37/0.68 % (27436)Instructions burned: 219 (million) 2.37/0.68 % (27436)------------------------------ 2.37/0.68 % (27436)------------------------------ 2.37/0.69 % (27446)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi) 2.37/0.69 % (27443)Instruction limit reached! 2.37/0.69 % (27443)------------------------------ 2.37/0.69 % (27443)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.69 % (27443)Termination reason: Unknown 2.37/0.69 % (27443)Termination phase: Saturation 2.37/0.69 2.37/0.69 % (27443)Memory used [KB]: 1407 2.37/0.69 % (27443)Time elapsed: 0.032 s 2.37/0.69 % (27443)Instructions burned: 99 (million) 2.37/0.69 % (27443)------------------------------ 2.37/0.69 % (27443)------------------------------ 2.37/0.69 % (27446)Instruction limit reached! 2.37/0.69 % (27446)------------------------------ 2.37/0.69 % (27446)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.69 % (27446)Termination reason: Unknown 2.37/0.69 % (27446)Termination phase: Preprocessing 3 2.37/0.69 2.37/0.69 % (27446)Memory used [KB]: 1023 2.37/0.69 % (27446)Time elapsed: 0.002 s 2.37/0.69 % (27446)Instructions burned: 3 (million) 2.37/0.69 % (27446)------------------------------ 2.37/0.69 % (27446)------------------------------ 2.37/0.70 % (27447)lrs+1010_1:1024_au=on:hud=10:ntd=on:ss=included:i=294:si=on:rtra=on_0 on Vampire---4 for (1796ds/294Mi) 2.37/0.70 % (27448)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=274:si=on:rtra=on_0 on Vampire---4 for (1796ds/274Mi) 2.37/0.70 % (27445)Instruction limit reached! 2.37/0.70 % (27445)------------------------------ 2.37/0.70 % (27445)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.70 % (27445)Termination reason: Unknown 2.37/0.70 % (27445)Termination phase: Saturation 2.37/0.70 2.37/0.70 % (27445)Memory used [KB]: 5884 2.37/0.70 % (27445)Time elapsed: 0.029 s 2.37/0.70 % (27445)Instructions burned: 86 (million) 2.37/0.70 % (27445)------------------------------ 2.37/0.70 % (27445)------------------------------ 2.37/0.71 % (27449)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (1796ds/47Mi) 2.37/0.73 % (27449)Instruction limit reached! 2.37/0.73 % (27449)------------------------------ 2.37/0.73 % (27449)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.37/0.73 % (27449)Termination reason: Unknown 2.37/0.73 % (27449)Termination phase: Saturation 2.37/0.73 2.37/0.73 % (27449)Memory used [KB]: 5756 2.37/0.73 % (27449)Time elapsed: 0.016 s 2.37/0.73 % (27449)Instructions burned: 49 (million) 2.37/0.73 % (27449)------------------------------ 2.37/0.73 % (27449)------------------------------ 2.79/0.74 % (27450)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (1796ds/37Mi) 2.79/0.74 % (27405)Instruction limit reached! 2.79/0.74 % (27405)------------------------------ 2.79/0.74 % (27405)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.79/0.74 % (27405)Termination reason: Unknown 2.79/0.74 % (27405)Termination phase: Saturation 2.79/0.74 2.79/0.74 % (27405)Memory used [KB]: 6268 2.79/0.74 % (27405)Time elapsed: 0.345 s 2.79/0.74 % (27405)Instructions burned: 1021 (million) 2.79/0.74 % (27405)------------------------------ 2.79/0.74 % (27405)------------------------------ 2.79/0.74 % (27408)Instruction limit reached! 2.79/0.74 % (27408)------------------------------ 2.79/0.74 % (27408)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.79/0.74 % (27408)Termination reason: Unknown 2.79/0.74 % (27408)Termination phase: Saturation 2.79/0.74 2.79/0.74 % (27408)Memory used [KB]: 7419 2.79/0.74 % (27408)Time elapsed: 0.337 s 2.79/0.74 % (27408)Instructions burned: 1044 (million) 2.79/0.74 % (27408)------------------------------ 2.79/0.74 % (27408)------------------------------ 2.79/0.75 % (27451)lrs+1002_1:16_av=off:e2e=on:fe=axiom:prag=on:sos=on:ss=axioms:i=3:si=on:rtra=on_0 on Vampire---4 for (1796ds/3Mi) 2.79/0.75 % (27450)Instruction limit reached! 2.79/0.75 % (27450)------------------------------ 2.79/0.75 % (27450)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.79/0.75 % (27450)Termination reason: Unknown 2.79/0.75 % (27450)Termination phase: Saturation 2.79/0.75 2.79/0.75 % (27450)Memory used [KB]: 5756 2.79/0.75 % (27450)Time elapsed: 0.013 s 2.79/0.75 % (27450)Instructions burned: 38 (million) 2.79/0.75 % (27450)------------------------------ 2.79/0.75 % (27450)------------------------------ 2.79/0.75 % (27451)Instruction limit reached! 2.79/0.75 % (27451)------------------------------ 2.79/0.75 % (27451)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.79/0.75 % (27451)Termination reason: Unknown 2.79/0.75 % (27451)Termination phase: Preprocessing 3 2.79/0.75 2.79/0.75 % (27451)Memory used [KB]: 1023 2.79/0.75 % (27451)Time elapsed: 0.002 s 2.79/0.75 % (27451)Instructions burned: 3 (million) 2.79/0.75 % (27451)------------------------------ 2.79/0.75 % (27451)------------------------------ 2.79/0.75 % (27452)lrs+10_8:1_au=on:e2e=on:hfsq=on:hfsqc=1:ins=3:s2a=on:s2at=3.0:ss=axioms:i=19:si=on:rtra=on_0 on Vampire---4 for (1796ds/19Mi) 2.79/0.76 % (27453)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:i=5:si=on:rtra=on_0 on Vampire---4 for (1796ds/5Mi) 2.79/0.76 % (27433)First to succeed. 2.79/0.76 % (27454)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=44:si=on:rtra=on_0 on Vampire---4 for (1796ds/44Mi) 2.79/0.76 % (27453)Instruction limit reached! 2.79/0.76 % (27453)------------------------------ 2.79/0.76 % (27453)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.79/0.76 % (27453)Termination reason: Unknown 2.79/0.76 % (27453)Termination phase: Saturation 2.79/0.76 2.79/0.76 % (27453)Memory used [KB]: 1023 2.79/0.76 % (27453)Time elapsed: 0.003 s 2.79/0.76 % (27453)Instructions burned: 7 (million) 2.79/0.76 % (27453)------------------------------ 2.79/0.76 % (27453)------------------------------ 2.79/0.76 % (27452)Also succeeded, but the first one will report. 2.79/0.76 % (27433)Refutation found. Thanks to Tanya! 2.79/0.76 % SZS status Theorem for Vampire---4 2.79/0.76 % SZS output start Proof for Vampire---4 2.79/0.76 thf(func_def_0, type, in: $i > $i > $o). 2.79/0.76 thf(func_def_2, type, setadjoin: $i > $i > $i). 2.79/0.76 thf(func_def_3, type, setunion: $i > $i). 2.79/0.76 thf(func_def_4, type, dsetconstr: $i > ($i > $o) > $i). 2.79/0.76 thf(func_def_7, type, iskpair: $i > $o). 2.79/0.76 thf(func_def_8, type, kpair: $i > $i > $i). 2.79/0.76 thf(func_def_10, type, singleton: $i > $o). 2.79/0.76 thf(func_def_12, type, kfst: $i > $i). 2.79/0.76 thf(func_def_15, type, ksnd: $i > $i). 2.79/0.76 thf(func_def_36, type, sK11: $i > $o). 2.79/0.76 thf(func_def_40, type, ph14: !>[X0: $tType]:(X0)). 2.79/0.76 thf(func_def_41, type, sK15: $i > $i > $i > $i). 2.79/0.76 thf(func_def_42, type, sK16: $i > $i > $i). 2.79/0.76 thf(f335,plain,( 2.79/0.76 $false), 2.79/0.76 inference(trivial_inequality_removal,[],[f334])). 2.79/0.76 thf(f334,plain,( 2.79/0.76 ((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) | ((setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))))), 2.79/0.76 inference(duplicate_literal_removal,[],[f283])). 2.79/0.76 thf(f283,plain,( 2.79/0.76 ((setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | ((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) | ((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))), 2.79/0.76 inference(superposition,[],[f249,f273])). 2.79/0.76 thf(f273,plain,( 2.79/0.76 ((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ sK0 @ sK1) @ emptyset)) @ emptyset)))), 2.79/0.76 inference(duplicate_literal_removal,[],[f272])). 2.79/0.76 thf(f272,plain,( 2.79/0.76 ((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ sK0 @ sK1) @ emptyset)) @ emptyset))) | ((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ sK0 @ sK1) @ emptyset)) @ emptyset)))), 2.79/0.76 inference(equality_resolution,[],[f251])). 2.79/0.76 thf(f251,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | ((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset))) | ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) )), 2.79/0.76 inference(equality_proxy_clausification,[],[f250])). 2.79/0.76 thf(f250,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | (((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) = $true) | ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) )), 2.79/0.76 inference(equality_proxy_clausification,[],[f246])). 2.79/0.76 thf(f246,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (($true = ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) | ((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | (((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) = $true)) )), 2.79/0.76 inference(binary_proxy_clausification,[],[f245])). 2.79/0.76 thf(f245,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : ((((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) != ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) | ((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))))) )), 2.79/0.76 inference(beta_eta_normalization,[],[f244])). 2.79/0.76 thf(f244,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) @ (sK16 @ X1 @ X0)) != ((^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) @ (sK16 @ X1 @ X0))) | ((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))))) )), 2.79/0.76 inference(negative_extensionality,[],[f205])). 2.79/0.76 thf(f205,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) != (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) | ((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))))) )), 2.79/0.76 inference(subsumption_resolution,[],[f202,f201])). 2.79/0.76 thf(f201,plain,( 2.79/0.76 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))) | ((^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) != (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))) | (X1 = X3)) )), 2.79/0.76 inference(constrained_superposition,[],[f140,f140])). 2.79/0.76 thf(f140,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) = X1)) )), 2.79/0.76 inference(equality_resolution,[],[f124])). 2.79/0.76 thf(f124,plain,( 2.79/0.76 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) | ((setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) = X3)) )), 2.79/0.76 inference(superposition,[],[f106,f117])). 2.79/0.76 thf(f117,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) )), 2.79/0.76 inference(equality_proxy_clausification,[],[f116])). 2.79/0.76 thf(f116,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (($true = ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) )), 2.79/0.76 inference(beta_eta_normalization,[],[f115])). 2.79/0.76 thf(f115,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) @ (setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))))) = $true)) )), 2.79/0.76 inference(trivial_inequality_removal,[],[f114])). 2.79/0.76 thf(f114,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) @ (setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))))) = $true)) )), 2.79/0.76 inference(superposition,[],[f108,f113])). 2.79/0.76 thf(f113,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((in @ (setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) = $true)) )), 2.79/0.76 inference(trivial_inequality_removal,[],[f112])). 2.79/0.76 thf(f112,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((in @ (setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) = $true) | ($true != $true)) )), 2.79/0.76 inference(superposition,[],[f104,f110])). 2.79/0.76 thf(f110,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((singleton @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) = $true)) )), 2.79/0.76 inference(trivial_inequality_removal,[],[f109])). 2.79/0.76 thf(f109,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((singleton @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))))) = $true)) )), 2.79/0.76 inference(superposition,[],[f103,f101])). 2.79/0.76 thf(f101,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((iskpair @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) = $true)) )), 2.79/0.76 inference(beta_eta_normalization,[],[f100])). 2.79/0.76 thf(f100,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (($true = (iskpair @ ((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ X0 @ X1)))) )), 2.79/0.76 inference(trivial_inequality_removal,[],[f85])). 2.79/0.76 thf(f85,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (($true = (iskpair @ ((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ X0 @ X1))) | ($true != $true)) )), 2.79/0.76 inference(definition_unfolding,[],[f68,f69,f65])). 2.79/0.76 thf(f65,plain,( 2.79/0.76 (kpairp = $true)), 2.79/0.76 inference(cnf_transformation,[],[f40])). 2.79/0.76 thf(f40,plain,( 2.79/0.76 ((ksnd @ (kpair @ sK1 @ sK0)) != sK0) & (kpairp = $true) & (ksndsingleton = $true) & (dsetconstrER = $true) & (theprop = $true) & (setukpairinjR = $true)), 2.79/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f39])). 2.79/0.76 thf(f39,plain,( 2.79/0.76 ? [X0,X1] : ((ksnd @ (kpair @ X1 @ X0)) != X0) => ((ksnd @ (kpair @ sK1 @ sK0)) != sK0)), 2.79/0.76 introduced(choice_axiom,[])). 2.79/0.76 thf(f38,plain,( 2.79/0.76 ? [X0,X1] : ((ksnd @ (kpair @ X1 @ X0)) != X0) & (kpairp = $true) & (ksndsingleton = $true) & (dsetconstrER = $true) & (theprop = $true) & (setukpairinjR = $true)), 2.79/0.76 inference(flattening,[],[f37])). 2.79/0.76 thf(f37,plain,( 2.79/0.76 ((((? [X0,X1] : ((ksnd @ (kpair @ X1 @ X0)) != X0) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (theprop = $true)) & (kpairp = $true)) & (dsetconstrER = $true)), 2.79/0.76 inference(ennf_transformation,[],[f14])). 2.79/0.76 thf(f14,plain,( 2.79/0.76 ~((dsetconstrER = $true) => ((kpairp = $true) => ((theprop = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ! [X0,X1] : ((ksnd @ (kpair @ X1 @ X0)) = X0))))))), 2.79/0.76 inference(fool_elimination,[],[f13])). 2.79/0.76 thf(f13,plain,( 2.79/0.76 ~(dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X0,X1] : ((ksnd @ (kpair @ X1 @ X0)) = X0))))))), 2.79/0.76 inference(rectify,[],[f11])). 2.79/0.76 thf(f11,negated_conjecture,( 2.79/0.76 ~(dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X3,X2] : ((ksnd @ (kpair @ X2 @ X3)) = X3))))))), 2.79/0.76 inference(negated_conjecture,[],[f10])). 2.79/0.76 thf(f10,conjecture,( 2.79/0.76 dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X3,X2] : ((ksnd @ (kpair @ X2 @ X3)) = X3)))))), 2.79/0.76 file('/export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286',ksndpairEq)). 2.79/0.76 thf(f69,plain,( 2.79/0.76 (kpair = (^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))))), 2.79/0.76 inference(cnf_transformation,[],[f18])). 2.79/0.76 thf(f18,plain,( 2.79/0.76 (kpair = (^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))))), 2.79/0.76 inference(fool_elimination,[],[f17])). 2.79/0.76 thf(f17,plain,( 2.79/0.76 (kpair = (^[X0 : $i, X1 : $i] : (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))), 2.79/0.76 inference(rectify,[],[f3])). 2.79/0.76 thf(f3,axiom,( 2.79/0.76 (kpair = (^[X2 : $i, X3 : $i] : (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), 2.79/0.76 file('/export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286',kpair)). 2.79/0.76 thf(f68,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) )), 2.79/0.76 inference(cnf_transformation,[],[f44])). 2.79/0.76 thf(f44,plain,( 2.79/0.76 (! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ((iskpair @ (kpair @ sK2 @ sK3)) != $true))), 2.79/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f42,f43])). 2.79/0.76 thf(f43,plain,( 2.79/0.76 ? [X2,X3] : ((iskpair @ (kpair @ X2 @ X3)) != $true) => ((iskpair @ (kpair @ sK2 @ sK3)) != $true)), 2.79/0.76 introduced(choice_axiom,[])). 2.79/0.76 thf(f42,plain,( 2.79/0.76 (! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X2,X3] : ((iskpair @ (kpair @ X2 @ X3)) != $true))), 2.79/0.76 inference(rectify,[],[f41])). 2.79/0.76 thf(f41,plain,( 2.79/0.76 (! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) != $true))), 2.79/0.76 inference(nnf_transformation,[],[f28])). 2.79/0.76 thf(f28,plain,( 2.79/0.76 ! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) <=> (kpairp = $true)), 2.79/0.76 inference(fool_elimination,[],[f27])). 2.79/0.76 thf(f27,plain,( 2.79/0.76 (kpairp = ! [X0,X1] : (iskpair @ (kpair @ X0 @ X1)))), 2.79/0.76 inference(rectify,[],[f4])). 2.79/0.76 thf(f4,axiom,( 2.79/0.76 (kpairp = ! [X2,X3] : (iskpair @ (kpair @ X2 @ X3)))), 2.79/0.76 file('/export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286',kpairp)). 2.79/0.76 thf(f103,plain,( 2.79/0.76 ( ! [X0 : $i] : (((iskpair @ X0) != $true) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ X0) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ X0) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = X0)))))) )), 2.79/0.76 inference(beta_eta_normalization,[],[f102])). 2.79/0.76 thf(f102,plain,( 2.79/0.76 ( ! [X0 : $i] : (($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: (((^[Y1 : $i]: ((^[Y2 : $i]: (setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ Y2 @ emptyset)) @ emptyset))))) @ (kfst @ X0) @ Y0) = X0))))) | ((iskpair @ X0) != $true)) )), 2.79/0.76 inference(trivial_inequality_removal,[],[f96])). 2.79/0.76 thf(f96,plain,( 2.79/0.76 ( ! [X0 : $i] : (((iskpair @ X0) != $true) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: (((^[Y1 : $i]: ((^[Y2 : $i]: (setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ Y2 @ emptyset)) @ emptyset))))) @ (kfst @ X0) @ Y0) = X0))))) | ($true != $true)) )), 2.79/0.76 inference(definition_unfolding,[],[f82,f69,f64])). 2.79/0.76 thf(f64,plain,( 2.79/0.76 (ksndsingleton = $true)), 2.79/0.76 inference(cnf_transformation,[],[f40])). 2.79/0.76 thf(f82,plain,( 2.79/0.76 ( ! [X0 : $i] : (((iskpair @ X0) != $true) | ((singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))) = $true) | (ksndsingleton != $true)) )), 2.79/0.76 inference(cnf_transformation,[],[f60])). 2.79/0.76 thf(f60,plain,( 2.79/0.76 (! [X0] : (((iskpair @ X0) != $true) | ((singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))) = $true)) | (ksndsingleton != $true)) & ((ksndsingleton = $true) | (($true = (iskpair @ sK12)) & ($true != (singleton @ (dsetconstr @ (setunion @ sK12) @ (^[Y0 : $i]: ((kpair @ (kfst @ sK12) @ Y0) = sK12)))))))), 2.79/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f58,f59])). 2.79/0.76 thf(f59,plain,( 2.79/0.76 ? [X1] : (((iskpair @ X1) = $true) & ($true != (singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))))) => (($true = (iskpair @ sK12)) & ($true != (singleton @ (dsetconstr @ (setunion @ sK12) @ (^[Y0 : $i]: ((kpair @ (kfst @ sK12) @ Y0) = sK12))))))), 2.79/0.76 introduced(choice_axiom,[])). 2.79/0.76 thf(f58,plain,( 2.79/0.76 (! [X0] : (((iskpair @ X0) != $true) | ((singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))) = $true)) | (ksndsingleton != $true)) & ((ksndsingleton = $true) | ? [X1] : (((iskpair @ X1) = $true) & ($true != (singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))))))), 2.79/0.76 inference(rectify,[],[f57])). 2.79/0.76 thf(f57,plain,( 2.79/0.76 (! [X0] : (((iskpair @ X0) != $true) | ((singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))) = $true)) | (ksndsingleton != $true)) & ((ksndsingleton = $true) | ? [X0] : (((iskpair @ X0) = $true) & ((singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))) != $true)))), 2.79/0.76 inference(nnf_transformation,[],[f35])). 2.79/0.76 thf(f35,plain,( 2.79/0.76 ! [X0] : (((iskpair @ X0) != $true) | ((singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))) = $true)) <=> (ksndsingleton = $true)), 2.79/0.76 inference(ennf_transformation,[],[f32])). 2.79/0.76 thf(f32,plain,( 2.79/0.76 ! [X0] : (((iskpair @ X0) = $true) => ((singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))) = $true)) <=> (ksndsingleton = $true)), 2.79/0.76 inference(fool_elimination,[],[f31])). 2.79/0.76 thf(f31,plain,( 2.79/0.76 (ksndsingleton = ! [X0] : ((iskpair @ X0) => (singleton @ (dsetconstr @ (setunion @ X0) @ (^[X1 : $i] : (((kpair @ (kfst @ X0) @ X1) = X0)))))))), 2.79/0.76 inference(rectify,[],[f8])). 2.79/0.76 thf(f8,axiom,( 2.79/0.76 (ksndsingleton = ! 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[X0] : (($true != (in @ (setunion @ X0) @ X0)) & ((singleton @ X0) = $true)))), 2.79/0.76 inference(nnf_transformation,[],[f33])). 2.79/0.76 thf(f33,plain,( 2.79/0.76 ! [X0] : (($true = (in @ (setunion @ X0) @ X0)) | ((singleton @ X0) != $true)) <=> (theprop = $true)), 2.79/0.76 inference(ennf_transformation,[],[f16])). 2.79/0.76 thf(f16,plain,( 2.79/0.76 ! [X0] : (((singleton @ X0) = $true) => ($true = (in @ (setunion @ X0) @ X0))) <=> (theprop = $true)), 2.79/0.76 inference(fool_elimination,[],[f15])). 2.79/0.76 thf(f15,plain,( 2.79/0.76 (theprop = ! [X0] : ((singleton @ X0) => (in @ (setunion @ X0) @ X0)))), 2.79/0.76 inference(rectify,[],[f6])). 2.79/0.76 thf(f6,axiom,( 2.79/0.76 (theprop = ! [X4] : ((singleton @ X4) => (in @ (setunion @ X4) @ X4)))), 2.79/0.76 file('/export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286',theprop)). 2.79/0.76 thf(f108,plain,( 2.79/0.76 ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (($true != (in @ X0 @ (dsetconstr @ X1 @ X2))) | ($true = (X2 @ X0))) )), 2.79/0.76 inference(beta_eta_normalization,[],[f107])). 2.79/0.76 thf(f107,plain,( 2.79/0.76 ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (($true = (X2 @ X0)) | ($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) )), 2.79/0.76 inference(trivial_inequality_removal,[],[f93])). 2.79/0.76 thf(f93,plain,( 2.79/0.76 ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (($true = (X2 @ X0)) | ($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) | ($true != $true)) )), 2.79/0.76 inference(definition_unfolding,[],[f79,f63])). 2.79/0.76 thf(f63,plain,( 2.79/0.76 (dsetconstrER = $true)), 2.79/0.76 inference(cnf_transformation,[],[f40])). 2.79/0.76 thf(f79,plain,( 2.79/0.76 ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (($true = (X2 @ X0)) | ($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) | (dsetconstrER != $true)) )), 2.79/0.76 inference(cnf_transformation,[],[f56])). 2.79/0.76 thf(f56,plain,( 2.79/0.76 (! [X0,X1,X2 : $i > $o] : (($true = (X2 @ X0)) | ($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) | (dsetconstrER != $true)) & ((dsetconstrER = $true) | (((sK11 @ sK9) != $true) & ($true = (in @ sK9 @ (dsetconstr @ sK10 @ (^[Y0 : $i]: (sK11 @ Y0)))))))), 2.79/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f54,f55])). 2.79/0.76 thf(f55,plain,( 2.79/0.76 ? [X3,X4,X5 : $i > $o] : (((X5 @ X3) != $true) & ($true = (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0)))))) => (((sK11 @ sK9) != $true) & ($true = (in @ sK9 @ (dsetconstr @ sK10 @ (^[Y0 : $i]: (sK11 @ Y0))))))), 2.79/0.76 introduced(choice_axiom,[])). 2.79/0.76 thf(f54,plain,( 2.79/0.76 (! [X0,X1,X2 : $i > $o] : (($true = (X2 @ X0)) | ($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) | (dsetconstrER != $true)) & ((dsetconstrER = $true) | ? [X3,X4,X5 : $i > $o] : (((X5 @ X3) != $true) & ($true = (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0)))))))), 2.79/0.76 inference(rectify,[],[f53])). 2.79/0.76 thf(f53,plain,( 2.79/0.76 (! [X0,X1,X2 : $i > $o] : (($true = (X2 @ X0)) | ($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) | (dsetconstrER != $true)) & ((dsetconstrER = $true) | ? [X0,X1,X2 : $i > $o] : (($true != (X2 @ X0)) & ($true = (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))))), 2.79/0.76 inference(nnf_transformation,[],[f36])). 2.79/0.76 thf(f36,plain,( 2.79/0.76 ! [X0,X1,X2 : $i > $o] : (($true = (X2 @ X0)) | ($true != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) <=> (dsetconstrER = $true)), 2.79/0.76 inference(ennf_transformation,[],[f22])). 2.79/0.76 thf(f22,plain,( 2.79/0.76 (dsetconstrER = $true) <=> ! [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))) => ($true = (X2 @ X0)))), 2.79/0.76 inference(fool_elimination,[],[f21])). 2.79/0.76 thf(f21,plain,( 2.79/0.76 (dsetconstrER = ! [X0,X1,X2 : $i > $o] : ((in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3)))) => (X2 @ X0)))), 2.79/0.76 inference(rectify,[],[f1])). 2.79/0.76 thf(f1,axiom,( 2.79/0.76 (dsetconstrER = ! [X2,X0,X1 : $i > $o] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X2)))), 2.79/0.76 file('/export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286',dsetconstrER)). 2.79/0.76 thf(f106,plain,( 2.79/0.76 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) | (X1 = X2)) )), 2.79/0.76 inference(beta_eta_normalization,[],[f105])). 2.79/0.76 thf(f105,plain,( 2.79/0.76 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ X0 @ X2) != ((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ X3 @ X1)) | (X1 = X2)) )), 2.79/0.76 inference(trivial_inequality_removal,[],[f90])). 2.79/0.76 thf(f90,plain,( 2.79/0.76 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ X0 @ X2) != ((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ X3 @ X1)) | (X1 = X2) | ($true != $true)) )), 2.79/0.76 inference(definition_unfolding,[],[f76,f69,f69,f61])). 2.79/0.76 thf(f61,plain,( 2.79/0.76 (setukpairinjR = $true)), 2.79/0.76 inference(cnf_transformation,[],[f40])). 2.79/0.76 thf(f76,plain,( 2.79/0.76 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((kpair @ X3 @ X1) != (kpair @ X0 @ X2)) | (X1 = X2) | (setukpairinjR != $true)) )), 2.79/0.76 inference(cnf_transformation,[],[f52])). 2.79/0.76 thf(f52,plain,( 2.79/0.76 (! [X0,X1,X2,X3] : (((kpair @ X3 @ X1) != (kpair @ X0 @ X2)) | (X1 = X2)) | (setukpairinjR != $true)) & ((setukpairinjR = $true) | (((kpair @ sK5 @ sK7) = (kpair @ sK8 @ sK6)) & (sK6 != sK7)))), 2.79/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f50,f51])). 2.79/0.76 thf(f51,plain,( 2.79/0.76 ? [X4,X5,X6,X7] : (((kpair @ X7 @ X5) = (kpair @ X4 @ X6)) & (X5 != X6)) => (((kpair @ sK5 @ sK7) = (kpair @ sK8 @ sK6)) & (sK6 != sK7))), 2.79/0.76 introduced(choice_axiom,[])). 2.79/0.76 thf(f50,plain,( 2.79/0.76 (! [X0,X1,X2,X3] : (((kpair @ X3 @ X1) != (kpair @ X0 @ X2)) | (X1 = X2)) | (setukpairinjR != $true)) & ((setukpairinjR = $true) | ? [X4,X5,X6,X7] : (((kpair @ X7 @ X5) = (kpair @ X4 @ X6)) & (X5 != X6)))), 2.79/0.76 inference(rectify,[],[f49])). 2.79/0.76 thf(f49,plain,( 2.79/0.76 (! [X0,X1,X2,X3] : (((kpair @ X3 @ X1) != (kpair @ X0 @ X2)) | (X1 = X2)) | (setukpairinjR != $true)) & ((setukpairinjR = $true) | ? [X0,X1,X2,X3] : (((kpair @ X3 @ X1) = (kpair @ X0 @ X2)) & (X1 != X2)))), 2.79/0.76 inference(nnf_transformation,[],[f34])). 2.79/0.76 thf(f34,plain,( 2.79/0.76 ! [X0,X1,X2,X3] : (((kpair @ X3 @ X1) != (kpair @ X0 @ X2)) | (X1 = X2)) <=> (setukpairinjR = $true)), 2.79/0.76 inference(ennf_transformation,[],[f20])). 2.79/0.76 thf(f20,plain,( 2.79/0.76 (setukpairinjR = $true) <=> ! [X0,X1,X2,X3] : (((kpair @ X3 @ X1) = (kpair @ X0 @ X2)) => (X1 = X2))), 2.79/0.76 inference(fool_elimination,[],[f19])). 2.79/0.76 thf(f19,plain,( 2.79/0.76 (setukpairinjR = ! [X0,X1,X2,X3] : (((kpair @ X3 @ X1) = (kpair @ X0 @ X2)) => (X1 = X2)))), 2.79/0.76 inference(rectify,[],[f7])). 2.79/0.76 thf(f7,axiom,( 2.79/0.76 (setukpairinjR = ! [X2,X6,X3,X5] : (((kpair @ X2 @ X3) = (kpair @ X5 @ X6)) => (X3 = X6)))), 2.79/0.76 file('/export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286',setukpairinjR)). 2.79/0.76 thf(f202,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | ((^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) != (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))))) | (sK0 != X1)) )), 2.79/0.76 inference(constrained_superposition,[],[f99,f140])). 2.79/0.76 thf(f99,plain,( 2.79/0.76 ((setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (^[Y0 : $i]: ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))))) != sK0)), 2.79/0.76 inference(beta_eta_normalization,[],[f84])). 2.79/0.76 thf(f84,plain,( 2.79/0.76 (sK0 != ((^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y3 @ emptyset)) @ emptyset))))) @ (kfst @ Y0) @ Y1) = Y0))))) @ ((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ sK1 @ sK0)))), 2.79/0.76 inference(definition_unfolding,[],[f66,f83,f69])). 2.79/0.76 thf(f83,plain,( 2.79/0.76 (ksnd = (^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y3 @ emptyset)) @ emptyset))))) @ (kfst @ Y0) @ Y1) = Y0))))))), 2.79/0.76 inference(definition_unfolding,[],[f70,f69])). 2.79/0.76 thf(f70,plain,( 2.79/0.76 (ksnd = (^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))))), 2.79/0.76 inference(cnf_transformation,[],[f30])). 2.79/0.76 thf(f30,plain,( 2.79/0.76 (ksnd = (^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))))), 2.79/0.76 inference(fool_elimination,[],[f29])). 2.79/0.76 thf(f29,plain,( 2.79/0.76 (ksnd = (^[X0 : $i] : (setunion @ (dsetconstr @ (setunion @ X0) @ (^[X1 : $i] : (((kpair @ (kfst @ X0) @ X1) = X0)))))))), 2.79/0.76 inference(rectify,[],[f9])). 2.79/0.76 thf(f9,axiom,( 2.79/0.76 (ksnd = (^[X6 : $i] : (setunion @ (dsetconstr @ (setunion @ X6) @ (^[X2 : $i] : (((kpair @ (kfst @ X6) @ X2) = X6)))))))), 2.79/0.76 file('/export/starexec/sandbox/tmp/tmp.O5S4DdLde8/Vampire---4.8_27286',ksnd)). 2.79/0.76 thf(f66,plain,( 2.79/0.76 ((ksnd @ (kpair @ sK1 @ sK0)) != sK0)), 2.79/0.76 inference(cnf_transformation,[],[f40])). 2.79/0.76 thf(f249,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset))) | ((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) )), 2.79/0.76 inference(equality_proxy_clausification,[],[f248])). 2.79/0.76 thf(f248,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) | ((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | (((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) = $false)) )), 2.79/0.76 inference(equality_proxy_clausification,[],[f247])). 2.79/0.76 thf(f247,plain,( 2.79/0.76 ( ! [X0 : $i,X1 : $i] : (($false = ((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) | ((setunion @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) != (setunion @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset)))) | (((setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) @ (setadjoin @ (sK16 @ X1 @ X0) @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK1 @ emptyset) @ (setadjoin @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)) @ emptyset))) = $false)) )), 2.79/0.76 inference(binary_proxy_clausification,[],[f245])). 2.79/0.76 % SZS output end Proof for Vampire---4 2.79/0.76 % (27433)------------------------------ 2.79/0.76 % (27433)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.79/0.76 % (27433)Termination reason: Refutation 2.79/0.76 2.79/0.76 % (27433)Memory used [KB]: 6524 2.79/0.76 % (27433)Time elapsed: 0.167 s 2.79/0.76 % (27433)Instructions burned: 554 (million) 2.79/0.76 % (27433)------------------------------ 2.79/0.76 % (27433)------------------------------ 2.79/0.76 % (27394)Success in time 0.397 s 2.79/0.76 % Vampire---4.8 exiting 2.79/0.76 EOF