0.05/0.11 % Problem : Vampire---4.8_25342 : TPTP v0.0.0. Released v0.0.0. 0.05/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.11/0.32 % Computer : n013.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1440 0.11/0.32 % WCLimit : 180 0.11/0.32 % DateTime : Mon Jul 3 12:48:47 EDT 2023 0.11/0.33 % CPUTime : 0.11/0.33 This is a THF_ problem 0.11/0.33 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.ymvpq6k5pW/Vampire---4.8_25342 -m 12000 -t 180 0.11/0.35 % (25453)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) 0.11/0.35 % (25450)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.11/0.35 % (25455)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) 0.11/0.35 % (25456)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) 0.11/0.35 % (25457)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) 0.11/0.35 % (25452)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) 0.11/0.35 % (25454)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.11/0.35 % (25451)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.11/0.35 % (25456)Instruction limit reached! 0.11/0.35 % (25456)------------------------------ 0.11/0.35 % (25456)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.35 % (25456)Termination reason: Unknown 0.11/0.35 % (25456)Termination phase: Property scanning 0.11/0.35 0.11/0.35 % (25456)Memory used [KB]: 1023 0.11/0.35 % (25456)Time elapsed: 0.004 s 0.11/0.35 % (25456)Instructions burned: 5 (million) 0.11/0.35 % (25456)------------------------------ 0.11/0.35 % (25456)------------------------------ 0.11/0.35 % (25457)Refutation not found, incomplete strategy 0.11/0.35 % (25457)------------------------------ 0.11/0.35 % (25457)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.35 % (25457)Termination reason: Refutation not found, incomplete strategy 0.11/0.35 0.11/0.35 0.11/0.35 % (25457)Memory used [KB]: 5628 0.11/0.35 % (25457)Time elapsed: 0.005 s 0.11/0.35 % (25457)Instructions burned: 9 (million) 0.11/0.35 % (25457)------------------------------ 0.11/0.35 % (25457)------------------------------ 0.11/0.35 % (25451)Refutation not found, incomplete strategy 0.11/0.35 % (25451)------------------------------ 0.11/0.35 % (25451)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.35 % (25451)Termination reason: Refutation not found, incomplete strategy 0.11/0.35 0.11/0.35 0.11/0.35 % (25451)Memory used [KB]: 5628 0.11/0.35 % (25451)Time elapsed: 0.007 s 0.11/0.35 % (25451)Instructions burned: 14 (million) 0.11/0.35 % (25451)------------------------------ 0.11/0.35 % (25451)------------------------------ 0.11/0.35 % (25454)Instruction limit reached! 0.11/0.35 % (25454)------------------------------ 0.11/0.35 % (25454)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.35 % (25454)Termination reason: Unknown 0.11/0.35 % (25454)Termination phase: Saturation 0.11/0.35 0.11/0.35 % (25454)Memory used [KB]: 5756 0.11/0.35 % (25454)Time elapsed: 0.009 s 0.11/0.35 % (25454)Instructions burned: 17 (million) 0.11/0.35 % (25454)------------------------------ 0.11/0.35 % (25454)------------------------------ 0.11/0.36 % (25458)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) 0.11/0.36 % (25452)Instruction limit reached! 0.11/0.36 % (25452)------------------------------ 0.11/0.36 % (25452)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.36 % (25452)Termination reason: Unknown 0.11/0.36 % (25452)Termination phase: Saturation 0.11/0.36 0.11/0.36 % (25452)Memory used [KB]: 5756 0.11/0.36 % (25452)Time elapsed: 0.019 s 0.11/0.36 % (25452)Instructions burned: 35 (million) 0.11/0.36 % (25452)------------------------------ 0.11/0.36 % (25452)------------------------------ 0.11/0.36 % (25459)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.11/0.37 % (25459)Instruction limit reached! 0.11/0.37 % (25459)------------------------------ 0.11/0.37 % (25459)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.37 % (25459)Termination reason: Unknown 0.11/0.37 % (25459)Termination phase: Property scanning 0.11/0.37 0.11/0.37 % (25459)Memory used [KB]: 1023 0.11/0.37 % (25459)Time elapsed: 0.005 s 0.11/0.37 % (25459)Instructions burned: 7 (million) 0.11/0.37 % (25459)------------------------------ 0.11/0.37 % (25459)------------------------------ 0.11/0.37 % (25460)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) 0.11/0.37 % (25461)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) 0.11/0.37 % (25458)Instruction limit reached! 0.11/0.37 % (25458)------------------------------ 0.11/0.37 % (25458)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.37 % (25458)Termination reason: Unknown 0.11/0.37 % (25458)Termination phase: Saturation 0.11/0.37 0.11/0.37 % (25458)Memory used [KB]: 5628 0.11/0.37 % (25458)Time elapsed: 0.012 s 0.11/0.37 % (25458)Instructions burned: 21 (million) 0.11/0.37 % (25458)------------------------------ 0.11/0.37 % (25458)------------------------------ 0.11/0.38 % (25462)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) 0.11/0.38 % (25463)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) 0.11/0.38 % (25455)Instruction limit reached! 0.11/0.38 % (25455)------------------------------ 0.11/0.38 % (25455)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.38 % (25455)Termination reason: Unknown 0.11/0.38 % (25455)Termination phase: Saturation 0.11/0.38 0.11/0.38 % (25455)Memory used [KB]: 5884 0.11/0.38 % (25455)Time elapsed: 0.036 s 0.11/0.38 % (25455)Instructions burned: 74 (million) 0.11/0.38 % (25455)------------------------------ 0.11/0.38 % (25455)------------------------------ 0.11/0.38 % (25462)Instruction limit reached! 0.11/0.38 % (25462)------------------------------ 0.11/0.38 % (25462)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.38 % (25462)Termination reason: Unknown 0.11/0.38 % (25462)Termination phase: Function definition elimination 0.11/0.38 0.11/0.38 % (25462)Memory used [KB]: 1151 0.11/0.38 % (25462)Time elapsed: 0.005 s 0.11/0.38 % (25462)Instructions burned: 9 (million) 0.11/0.38 % (25462)------------------------------ 0.11/0.38 % (25462)------------------------------ 0.11/0.38 % (25464)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) 0.17/0.39 % (25450)Instruction limit reached! 0.17/0.39 % (25450)------------------------------ 0.17/0.39 % (25450)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.39 % (25450)Termination reason: Unknown 0.17/0.39 % (25450)Termination phase: Saturation 0.17/0.39 0.17/0.39 % (25450)Memory used [KB]: 6012 0.17/0.39 % (25450)Time elapsed: 0.048 s 0.17/0.39 % (25450)Instructions burned: 97 (million) 0.17/0.39 % (25450)------------------------------ 0.17/0.39 % (25450)------------------------------ 0.17/0.39 % (25465)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.17/0.39 % (25466)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.17/0.40 % (25466)Instruction limit reached! 0.17/0.40 % (25466)------------------------------ 0.17/0.40 % (25466)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.40 % (25466)Termination reason: Unknown 0.17/0.40 % (25466)Termination phase: Saturation 0.17/0.40 0.17/0.40 % (25466)Memory used [KB]: 5628 0.17/0.40 % (25466)Time elapsed: 0.007 s 0.17/0.40 % (25466)Instructions burned: 14 (million) 0.17/0.40 % (25466)------------------------------ 0.17/0.40 % (25466)------------------------------ 0.17/0.40 % (25461)Instruction limit reached! 0.17/0.40 % (25461)------------------------------ 0.17/0.40 % (25461)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.40 % (25461)Termination reason: Unknown 0.17/0.40 % (25461)Termination phase: Saturation 0.17/0.40 0.17/0.40 % (25461)Memory used [KB]: 5756 0.17/0.40 % (25461)Time elapsed: 0.034 s 0.17/0.40 % (25461)Instructions burned: 72 (million) 0.17/0.40 % (25461)------------------------------ 0.17/0.40 % (25461)------------------------------ 0.17/0.40 % (25467)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) 0.17/0.41 % (25467)Instruction limit reached! 0.17/0.41 % (25467)------------------------------ 0.17/0.41 % (25467)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.41 % (25467)Termination reason: Unknown 0.17/0.41 % (25467)Termination phase: shuffling 0.17/0.41 0.17/0.41 % (25467)Memory used [KB]: 1023 0.17/0.41 % (25467)Time elapsed: 0.002 s 0.17/0.41 % (25467)Instructions burned: 2 (million) 0.17/0.41 % (25467)------------------------------ 0.17/0.41 % (25467)------------------------------ 0.17/0.41 % (25469)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) 0.17/0.41 % (25468)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) 0.17/0.42 % (25469)Instruction limit reached! 0.17/0.42 % (25469)------------------------------ 0.17/0.42 % (25469)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.42 % (25469)Termination reason: Unknown 0.17/0.42 % (25469)Termination phase: Saturation 0.17/0.42 0.17/0.42 % (25469)Memory used [KB]: 5628 0.17/0.42 % (25469)Time elapsed: 0.007 s 0.17/0.42 % (25469)Instructions burned: 12 (million) 0.17/0.42 % (25469)------------------------------ 0.17/0.42 % (25469)------------------------------ 0.17/0.42 % (25470)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) 0.17/0.42 % (25465)Instruction limit reached! 0.17/0.42 % (25465)------------------------------ 0.17/0.42 % (25465)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.42 % (25465)Termination reason: Unknown 0.17/0.42 % (25465)Termination phase: Saturation 0.17/0.42 0.17/0.42 % (25465)Memory used [KB]: 6012 0.17/0.42 % (25465)Time elapsed: 0.031 s 0.17/0.42 % (25465)Instructions burned: 62 (million) 0.17/0.42 % (25465)------------------------------ 0.17/0.42 % (25465)------------------------------ 0.17/0.42 % (25470)Refutation not found, incomplete strategy 0.17/0.42 % (25470)------------------------------ 0.17/0.42 % (25470)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.42 % (25470)Termination reason: Refutation not found, incomplete strategy 0.17/0.42 0.17/0.42 0.17/0.42 % (25470)Memory used [KB]: 5628 0.17/0.42 % (25470)Time elapsed: 0.005 s 0.17/0.42 % (25470)Instructions burned: 8 (million) 0.17/0.42 % (25470)------------------------------ 0.17/0.42 % (25470)------------------------------ 0.17/0.43 % (25471)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) 0.17/0.43 % (25472)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) 0.17/0.44 % (25473)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) 0.17/0.44 % (25471)Instruction limit reached! 0.17/0.44 % (25471)------------------------------ 0.17/0.44 % (25471)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.44 % (25471)Termination reason: Unknown 0.17/0.44 % (25471)Termination phase: Saturation 0.17/0.44 0.17/0.44 % (25471)Memory used [KB]: 5628 0.17/0.44 % (25471)Time elapsed: 0.013 s 0.17/0.44 % (25471)Instructions burned: 26 (million) 0.17/0.44 % (25471)------------------------------ 0.17/0.44 % (25471)------------------------------ 0.17/0.44 % (25473)Refutation not found, incomplete strategy 0.17/0.44 % (25473)------------------------------ 0.17/0.44 % (25473)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.44 % (25473)Termination reason: Refutation not found, incomplete strategy 0.17/0.44 0.17/0.44 0.17/0.44 % (25473)Memory used [KB]: 5628 0.17/0.44 % (25473)Time elapsed: 0.008 s 0.17/0.44 % (25473)Instructions burned: 14 (million) 0.17/0.44 % (25473)------------------------------ 0.17/0.44 % (25473)------------------------------ 0.17/0.44 % (25464)Instruction limit reached! 0.17/0.44 % (25464)------------------------------ 0.17/0.44 % (25464)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.44 % (25464)Termination reason: Unknown 0.17/0.44 % (25464)Termination phase: Saturation 0.17/0.44 0.17/0.44 % (25464)Memory used [KB]: 6268 0.17/0.44 % (25464)Time elapsed: 0.061 s 0.17/0.44 % (25464)Instructions burned: 128 (million) 0.17/0.44 % (25464)------------------------------ 0.17/0.44 % (25464)------------------------------ 0.17/0.45 % (25474)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) 0.17/0.46 % (25475)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) 0.17/0.46 % (25474)Instruction limit reached! 0.17/0.46 % (25474)------------------------------ 0.17/0.46 % (25474)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.46 % (25474)Termination reason: Unknown 0.17/0.46 % (25474)Termination phase: shuffling 0.17/0.46 0.17/0.46 % (25474)Memory used [KB]: 1023 0.17/0.46 % (25474)Time elapsed: 0.003 s 0.17/0.46 % (25474)Instructions burned: 3 (million) 0.17/0.46 % (25474)------------------------------ 0.17/0.46 % (25474)------------------------------ 0.17/0.46 % (25476)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) 0.17/0.46 % (25472)Instruction limit reached! 0.17/0.46 % (25472)------------------------------ 0.17/0.46 % (25472)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.46 % (25472)Termination reason: Unknown 0.17/0.46 % (25472)Termination phase: Saturation 0.17/0.46 0.17/0.46 % (25472)Memory used [KB]: 1279 0.17/0.46 % (25472)Time elapsed: 0.028 s 0.17/0.46 % (25472)Instructions burned: 58 (million) 0.17/0.46 % (25472)------------------------------ 0.17/0.46 % (25472)------------------------------ 0.17/0.46 % (25475)Instruction limit reached! 0.17/0.46 % (25475)------------------------------ 0.17/0.46 % (25475)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.46 % (25475)Termination reason: Unknown 0.17/0.46 % (25475)Termination phase: Saturation 0.17/0.46 0.17/0.46 % (25475)Memory used [KB]: 5628 0.17/0.46 % (25475)Time elapsed: 0.010 s 0.17/0.46 % (25475)Instructions burned: 19 (million) 0.17/0.46 % (25475)------------------------------ 0.17/0.46 % (25475)------------------------------ 0.17/0.47 % (25477)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) 0.17/0.47 % (25478)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) 0.17/0.47 % (25453)First to succeed. 0.17/0.48 % (25479)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) 0.17/0.48 % (25453)Refutation found. Thanks to Tanya! 0.17/0.48 % SZS status Theorem for Vampire---4 0.17/0.48 % SZS output start Proof for Vampire---4 0.17/0.48 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o). 0.17/0.48 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o). 0.17/0.48 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o). 0.17/0.48 thf(func_def_6, type, refl: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_9, type, symm: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_11, type, asymm: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_13, type, trans: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_17, type, po: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_18, type, so: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_19, type, total: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_20, type, term: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_21, type, ind: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o). 0.17/0.48 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_24, type, norm: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o). 0.17/0.48 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_28, type, confl: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_29, type, cr: ($i > $i > $o) > $o). 0.17/0.48 thf(func_def_44, type, sK0: $i > $i > $o). 0.17/0.48 thf(func_def_46, type, sK2: $i > $o). 0.17/0.48 thf(func_def_48, type, sK4: $i > $i). 0.17/0.48 thf(func_def_49, type, sK5: ($i > $o) > $i). 0.17/0.48 thf(func_def_50, type, sK6: ($i > $o) > $i > $i > $i > $o). 0.17/0.48 thf(func_def_51, type, ph7: !>[X0: $tType]:(X0)). 0.17/0.48 thf(f1102,plain,( 0.17/0.48 $false), 0.17/0.48 inference(avatar_sat_refutation,[],[f1036,f1039,f1101])). 0.17/0.48 thf(f1101,plain,( 0.17/0.48 spl1_3 | ~spl1_12), 0.17/0.48 inference(avatar_split_clause,[],[f1098,f1032,f288])). 0.17/0.48 thf(f288,plain,( 0.17/0.48 spl1_3 <=> ! [X0] : ($false = (sK2 @ X0))), 0.17/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 0.17/0.48 thf(f1032,plain,( 0.17/0.48 spl1_12 <=> ($false = (sK2 @ (sK5 @ (^[Y0 : $i]: (~ (sK2 @ Y0))))))), 0.17/0.48 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])). 0.17/0.48 thf(f1098,plain,( 0.17/0.48 ( ! [X0 : $i] : (($false = (sK2 @ X0))) ) | ~spl1_12), 0.17/0.48 inference(trivial_inequality_removal,[],[f1097])). 0.17/0.48 thf(f1097,plain,( 0.17/0.48 ( ! [X0 : $i] : (($false = (sK2 @ X0)) | ($false = $true)) ) | ~spl1_12), 0.17/0.48 inference(superposition,[],[f195,f1034])). 0.17/0.48 thf(f1034,plain,( 0.17/0.48 ($false = (sK2 @ (sK5 @ (^[Y0 : $i]: (~ (sK2 @ Y0)))))) | ~spl1_12), 0.17/0.48 inference(avatar_component_clause,[],[f1032])). 0.17/0.48 thf(f195,plain,( 0.17/0.48 ( ! [X2 : $i,X5 : $i > $o] : (((X5 @ (sK5 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $true) | ($false = (X5 @ X2))) )), 0.17/0.48 inference(not_proxy_clausification,[],[f194])). 0.17/0.48 thf(f194,plain,( 0.17/0.48 ( ! [X2 : $i,X5 : $i > $o] : (($false = (X5 @ X2)) | ((~ (X5 @ (sK5 @ (^[Y0 : $i]: (~ (X5 @ Y0)))))) = $false)) )), 0.17/0.48 inference(not_proxy_clausification,[],[f193])). 0.17/0.48 thf(f193,plain,( 0.17/0.48 ( ! [X2 : $i,X5 : $i > $o] : (((~ (X5 @ X2)) = $true) | ((~ (X5 @ (sK5 @ (^[Y0 : $i]: (~ (X5 @ Y0)))))) = $false)) )), 0.17/0.48 inference(beta_eta_normalization,[],[f189])). 0.17/0.48 thf(f189,plain,( 0.17/0.48 ( ! [X2 : $i,X5 : $i > $o] : ((((^[Y0 : $i]: (~ (X5 @ Y0))) @ X2) = $true) | (((^[Y0 : $i]: (~ (X5 @ Y0))) @ (sK5 @ (^[Y0 : $i]: (~ (X5 @ Y0))))) = $false)) )), 0.17/0.48 inference(primitive_instantiation,[],[f185])). 0.17/0.48 thf(f185,plain,( 0.17/0.48 ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ (sK5 @ X1))) | ((X1 @ X2) = $true)) )), 0.17/0.48 inference(pi_clausification,[],[f160])). 0.17/0.48 thf(f160,plain,( 0.17/0.48 ( ! [X1 : $i > $o] : (((!! @ $i @ X1) = $true) | ($false = (X1 @ (sK5 @ X1)))) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f159])). 0.17/0.48 thf(f159,plain,( 0.17/0.48 ( ! [X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y4 @ Y2))))))))) => (Y1 @ (sK5 @ X1) @ Y0)))) => (X1 @ Y0)))) => (X1 @ (sK5 @ X1))) = $false) | ((!! @ $i @ X1) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[],[f158])). 0.17/0.48 thf(f158,plain,( 0.17/0.48 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y5 @ Y3))))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0))) @ (sK5 @ X1))) | ((!! @ $i @ X1) = $true)) )), 0.17/0.48 inference(sigma_clausification,[],[f157])). 0.17/0.48 thf(f157,plain,( 0.17/0.48 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y5 @ Y3))))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0)))) = $false) | ((!! @ $i @ X1) = $true)) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f156])). 0.17/0.48 thf(f156,plain,( 0.17/0.48 ( ! [X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y5 @ Y3))))))))) => (Y2 @ Y0 @ Y1)))) => (X1 @ Y1)))) => (X1 @ Y0)))) => (!! @ $i @ X1)) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[],[f155])). 0.17/0.48 thf(f155,plain,( 0.17/0.48 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y5 @ Y4)) => (Y3 @ Y6 @ Y4))))))))) => (Y3 @ Y1 @ Y2)))) => (Y0 @ Y2)))) => (Y0 @ Y1)))) => (!! @ $i @ Y0))) @ X1))) )), 0.17/0.48 inference(pi_clausification,[],[f154])). 0.17/0.48 thf(f154,plain,( 0.17/0.48 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y6 @ Y5) & (Y3 @ Y5 @ Y4)) => (Y3 @ Y6 @ Y4))))))))) => (Y3 @ Y1 @ Y2)))) => (Y0 @ Y2)))) => (Y0 @ Y1)))) => (!! @ $i @ Y0)))) = $true)), 0.17/0.48 inference(beta_eta_normalization,[],[f138])). 0.17/0.48 thf(f138,plain,( 0.17/0.48 (((^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7) & ((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y10 @ Y9)) => (Y8 @ Y11 @ Y9))))))))) @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))) @ sK0) = $true)), 0.17/0.48 inference(definition_unfolding,[],[f101,f130])). 0.17/0.48 thf(f130,plain,( 0.17/0.48 (ind = (^[Y0 : $i > $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ ($i > $i > $o) @ (^[Y7 : $i > $i > $o]: ((((^[Y8 : $i > $i > $o]: ((^[Y9 : $i > $i > $o]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((Y8 @ Y11 @ Y10) => (Y9 @ Y11 @ Y10))))))))) @ Y4 @ Y7) & ((^[Y8 : $i > $i > $o]: (!! @ $i @ (^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: (((Y8 @ Y11 @ Y10) & (Y8 @ Y10 @ Y9)) => (Y8 @ Y11 @ Y9))))))))) @ Y7)) => (Y7 @ Y5 @ Y6))))))))) @ Y0 @ Y2 @ Y3) => (Y1 @ Y3)))) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))))))))), 0.17/0.48 inference(definition_unfolding,[],[f95,f125])). 0.17/0.48 thf(f125,plain,( 0.17/0.48 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6))))))))) @ Y0 @ Y3) & ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y7 @ Y6) & (Y4 @ Y6 @ Y5)) => (Y4 @ Y7 @ Y5))))))))) @ Y3)) => (Y3 @ Y1 @ Y2))))))))))), 0.17/0.48 inference(definition_unfolding,[],[f108,f102,f109])). 0.17/0.48 thf(f109,plain,( 0.17/0.48 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))), 0.17/0.48 inference(cnf_transformation,[],[f78])). 0.17/0.48 thf(f78,plain,( 0.17/0.48 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))))), 0.17/0.48 inference(fool_elimination,[],[f77])). 0.17/0.48 thf(f77,plain,( 0.17/0.48 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)))) = trans)), 0.17/0.48 inference(rectify,[],[f13])). 0.17/0.48 thf(f13,axiom,( 0.17/0.48 ((^[X0 : $i > $i > $o] : (! [X2,X3,X5] : (((X0 @ X3 @ X5) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X5)))) = trans)), 0.17/0.48 file('/export/starexec/sandbox/tmp/tmp.ymvpq6k5pW/Vampire---4.8_25342',transitive)). 0.17/0.48 thf(f102,plain,( 0.17/0.48 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))), 0.17/0.48 inference(cnf_transformation,[],[f42])). 0.17/0.48 thf(f42,plain,( 0.17/0.48 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))), 0.17/0.48 inference(fool_elimination,[],[f41])). 0.17/0.48 thf(f41,plain,( 0.17/0.48 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))), 0.17/0.48 inference(rectify,[],[f1])). 0.17/0.48 thf(f1,axiom,( 0.17/0.48 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))), 0.17/0.48 file('/export/starexec/sandbox/tmp/tmp.ymvpq6k5pW/Vampire---4.8_25342',subrel)). 0.17/0.48 thf(f108,plain,( 0.17/0.48 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))), 0.17/0.48 inference(cnf_transformation,[],[f34])). 0.17/0.48 thf(f34,plain,( 0.17/0.48 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))), 0.17/0.48 inference(fool_elimination,[],[f33])). 0.17/0.48 thf(f33,plain,( 0.17/0.48 ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((trans @ X3) & (subrel @ X0 @ X3)) => (X3 @ X1 @ X2)))) = tc)), 0.17/0.48 inference(rectify,[],[f14])). 0.17/0.48 thf(f14,axiom,( 0.17/0.48 ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (! 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[X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((X1 @ X2) = $true) | ((X1 @ X3) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X4) => (sK6 @ X1 @ X2 @ Y0 @ X4)))))) )), 0.17/0.48 inference(beta_eta_normalization,[],[f172])). 0.17/0.48 thf(f172,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o,X4 : $i] : (((X1 @ X2) = $true) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK6 @ X1 @ X2 @ Y1 @ Y0))))) @ X4)) | ((X1 @ X3) = $true)) )), 0.17/0.48 inference(pi_clausification,[],[f171])). 0.17/0.48 thf(f171,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((X1 @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK6 @ X1 @ X2 @ Y1 @ Y0)))))) = $true)) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f169])). 0.17/0.48 thf(f169,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((X1 @ X3) = $true) | (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK6 @ X1 @ X2 @ Y1 @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK6 @ X1 @ X2 @ Y2 @ Y1) & (sK6 @ X1 @ X2 @ Y1 @ Y0)) => (sK6 @ X1 @ X2 @ Y2 @ Y0))))))))) = $true) | ((X1 @ X2) = $true)) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f167])). 0.17/0.48 thf(f167,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($false = (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK6 @ X1 @ X2 @ Y1 @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK6 @ X1 @ X2 @ Y2 @ Y1) & (sK6 @ X1 @ X2 @ Y1 @ Y0)) => (sK6 @ X1 @ X2 @ Y2 @ Y0))))))))) => (sK6 @ X1 @ X2 @ (sK5 @ X1) @ X2))) | ((X1 @ X2) = $true) | ((X1 @ X3) = $true)) )), 0.17/0.48 inference(beta_eta_normalization,[],[f166])). 0.17/0.48 thf(f166,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((X1 @ X3) = $true) | (((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) => (Y0 @ (sK5 @ X1) @ X2))) @ (sK6 @ X1 @ X2)) = $false)) )), 0.17/0.48 inference(sigma_clausification,[],[f165])). 0.17/0.48 thf(f165,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((X1 @ X2) = $true) | ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) => (Y0 @ (sK5 @ X1) @ X2)))) = $false) | ((X1 @ X3) = $true)) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f164])). 0.17/0.48 thf(f164,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) => (Y0 @ (sK5 @ X1) @ X2)))) => (X1 @ X2))) | ((X1 @ X3) = $true)) )), 0.17/0.48 inference(pi_clausification,[],[f163])). 0.17/0.48 thf(f163,plain,( 0.17/0.48 ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ X1) = $true) | ($true = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y3 @ Y1))))))))) => (Y0 @ (sK5 @ X1) @ X2)))) => (X1 @ X2)))) )), 0.17/0.48 inference(beta_eta_normalization,[],[f162])). 0.17/0.48 thf(f162,plain,( 0.17/0.48 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y4 @ Y2))))))))) => (Y1 @ (sK5 @ X1) @ Y0)))) => (X1 @ Y0))) @ X2) = $true) | ((!! @ $i @ X1) = $true)) )), 0.17/0.48 inference(pi_clausification,[],[f161])). 0.17/0.48 thf(f161,plain,( 0.17/0.48 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y4 @ Y2))))))))) => (Y1 @ (sK5 @ X1) @ Y0)))) => (X1 @ Y0)))) = $true) | ((!! @ $i @ X1) = $true)) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f159])). 0.17/0.48 thf(f168,plain,( 0.17/0.48 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (((sK6 @ X1 @ X2 @ (sK5 @ X1) @ X2) = $false) | ((X1 @ X3) = $true) | ((X1 @ X2) = $true)) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f167])). 0.17/0.48 thf(f153,plain,( 0.17/0.48 ( ! [X1 : $i] : (((sK0 @ X1 @ (sK4 @ X1)) = $true) | ($false = (sK2 @ X1))) )), 0.17/0.48 inference(not_proxy_clausification,[],[f151])). 0.17/0.48 thf(f151,plain,( 0.17/0.48 ( ! [X1 : $i] : (((~ (sK0 @ X1 @ (sK4 @ X1))) = $false) | ($false = (sK2 @ X1))) )), 0.17/0.48 inference(binary_proxy_clausification,[],[f150])). 0.17/0.48 % SZS output end Proof for Vampire---4 0.17/0.48 % (25453)------------------------------ 0.17/0.48 % (25453)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.17/0.48 % (25453)Termination reason: Refutation 0.17/0.48 0.17/0.48 % (25453)Memory used [KB]: 6268 0.17/0.48 % (25453)Time elapsed: 0.134 s 0.17/0.48 % (25453)Instructions burned: 281 (million) 0.17/0.48 % (25453)------------------------------ 0.17/0.48 % (25453)------------------------------ 0.17/0.48 % (25449)Success in time 0.134 s 0.17/0.48 % Vampire---4.8 exiting 0.17/0.48 EOF