0.03/0.12 % Problem : Vampire---4.8_23664 : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.34 % Computer : n021.cluster.edu 0.15/0.34 % Model : x86_64 x86_64 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.34 % Memory : 8042.1875MB 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.34 % CPULimit : 1440 0.15/0.34 % WCLimit : 180 0.15/0.34 % DateTime : Mon Jul 3 12:55:52 EDT 2023 0.15/0.34 % CPUTime : 0.15/0.35 This is a THF_ problem 0.15/0.35 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/sandbox2/tmp/tmp.whrTgDhVMI/Vampire---4.8_23664 -m 12000 -t 180 0.21/0.37 % (23774)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1800ds/34Mi) 0.21/0.37 % (23773)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi) 0.21/0.37 % (23775)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 (1800ds/385Mi) 0.21/0.37 % (23772)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi) 0.21/0.37 % (23776)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi) 0.21/0.37 % (23777)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 (1800ds/74Mi) 0.21/0.37 % (23778)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1800ds/4Mi) 0.21/0.37 % (23778)Instruction limit reached! 0.21/0.37 % (23778)------------------------------ 0.21/0.37 % (23778)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.37 % (23778)Termination reason: Unknown 0.21/0.37 % (23778)Termination phase: Saturation 0.21/0.37 0.21/0.37 % (23778)Memory used [KB]: 5500 0.21/0.37 % (23778)Time elapsed: 0.005 s 0.21/0.37 % (23778)Instructions burned: 4 (million) 0.21/0.37 % (23778)------------------------------ 0.21/0.37 % (23778)------------------------------ 0.21/0.38 % (23779)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 (1800ds/915Mi) 0.21/0.38 % (23780)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 % (23773)Instruction limit reached! 0.21/0.39 % (23773)------------------------------ 0.21/0.39 % (23773)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.39 % (23773)Termination reason: Unknown 0.21/0.39 % (23773)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (23773)Memory used [KB]: 5756 0.21/0.39 % (23773)Time elapsed: 0.025 s 0.21/0.39 % (23773)Instructions burned: 36 (million) 0.21/0.39 % (23773)------------------------------ 0.21/0.39 % (23773)------------------------------ 0.21/0.39 % (23776)Instruction limit reached! 0.21/0.39 % (23776)------------------------------ 0.21/0.39 % (23776)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.39 % (23776)Termination reason: Unknown 0.21/0.39 % (23776)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (23776)Memory used [KB]: 5500 0.21/0.39 % (23776)Time elapsed: 0.014 s 0.21/0.39 % (23776)Instructions burned: 17 (million) 0.21/0.39 % (23776)------------------------------ 0.21/0.39 % (23776)------------------------------ 0.21/0.40 % (23774)Instruction limit reached! 0.21/0.40 % (23774)------------------------------ 0.21/0.40 % (23774)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.40 % (23774)Termination reason: Unknown 0.21/0.40 % (23774)Termination phase: Saturation 0.21/0.40 0.21/0.40 % (23774)Memory used [KB]: 5756 0.21/0.40 % (23774)Time elapsed: 0.026 s 0.21/0.40 % (23774)Instructions burned: 34 (million) 0.21/0.40 % (23774)------------------------------ 0.21/0.40 % (23774)------------------------------ 0.21/0.40 % (23780)Instruction limit reached! 0.21/0.40 % (23780)------------------------------ 0.21/0.40 % (23780)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.40 % (23780)Termination reason: Unknown 0.21/0.40 % (23780)Termination phase: Saturation 0.21/0.40 0.21/0.40 % (23780)Memory used [KB]: 5628 0.21/0.40 % (23780)Time elapsed: 0.016 s 0.21/0.40 % (23780)Instructions burned: 21 (million) 0.21/0.40 % (23780)------------------------------ 0.21/0.40 % (23780)------------------------------ 0.21/0.40 % (23782)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) 0.21/0.41 % (23777)Instruction limit reached! 0.21/0.41 % (23777)------------------------------ 0.21/0.41 % (23777)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.41 % (23777)Termination reason: Unknown 0.21/0.41 % (23777)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (23777)Memory used [KB]: 5884 0.21/0.41 % (23777)Time elapsed: 0.047 s 0.21/0.41 % (23777)Instructions burned: 74 (million) 0.21/0.41 % (23777)------------------------------ 0.21/0.41 % (23777)------------------------------ 0.21/0.41 % (23783)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) 0.21/0.41 % (23784)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) 0.21/0.42 % (23781)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.21/0.42 % (23784)Instruction limit reached! 0.21/0.42 % (23784)------------------------------ 0.21/0.42 % (23784)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.42 % (23784)Termination reason: Unknown 0.21/0.42 % (23784)Termination phase: Saturation 0.21/0.42 0.21/0.42 % (23784)Memory used [KB]: 5628 0.21/0.42 % (23784)Time elapsed: 0.009 s 0.21/0.42 % (23784)Instructions burned: 10 (million) 0.21/0.42 % (23784)------------------------------ 0.21/0.42 % (23784)------------------------------ 0.21/0.43 % (23785)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) 0.21/0.43 % (23772)Instruction limit reached! 0.21/0.43 % (23772)------------------------------ 0.21/0.43 % (23772)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (23772)Termination reason: Unknown 0.21/0.43 % (23772)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (23772)Memory used [KB]: 5884 0.21/0.43 % (23772)Time elapsed: 0.062 s 0.21/0.43 % (23772)Instructions burned: 97 (million) 0.21/0.43 % (23772)------------------------------ 0.21/0.43 % (23772)------------------------------ 0.21/0.43 % (23781)Instruction limit reached! 0.21/0.43 % (23781)------------------------------ 0.21/0.43 % (23781)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (23781)Termination reason: Unknown 0.21/0.43 % (23781)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (23781)Memory used [KB]: 5500 0.21/0.43 % (23781)Time elapsed: 0.035 s 0.21/0.43 % (23781)Instructions burned: 8 (million) 0.21/0.43 % (23781)------------------------------ 0.21/0.43 % (23781)------------------------------ 0.21/0.44 % (23786)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) 0.21/0.44 % (23787)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.21/0.45 % (23788)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.21/0.46 % (23788)Instruction limit reached! 0.21/0.46 % (23788)------------------------------ 0.21/0.46 % (23788)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (23788)Termination reason: Unknown 0.21/0.46 % (23788)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (23788)Memory used [KB]: 5628 0.21/0.46 % (23788)Time elapsed: 0.009 s 0.21/0.46 % (23788)Instructions burned: 14 (million) 0.21/0.46 % (23788)------------------------------ 0.21/0.46 % (23788)------------------------------ 0.21/0.46 % (23783)Instruction limit reached! 0.21/0.46 % (23783)------------------------------ 0.21/0.46 % (23783)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.46 % (23783)Termination reason: Unknown 0.21/0.46 % (23783)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (23783)Memory used [KB]: 5884 0.21/0.46 % (23783)Time elapsed: 0.048 s 0.21/0.46 % (23783)Instructions burned: 72 (million) 0.21/0.46 % (23783)------------------------------ 0.21/0.46 % (23783)------------------------------ 0.21/0.47 % (23789)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) 0.21/0.47 % (23789)Instruction limit reached! 0.21/0.47 % (23789)------------------------------ 0.21/0.47 % (23789)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (23789)Termination reason: Unknown 0.21/0.47 % (23789)Termination phase: Property scanning 0.21/0.47 0.21/0.47 % (23789)Memory used [KB]: 895 0.21/0.47 % (23789)Time elapsed: 0.002 s 0.21/0.47 % (23789)Instructions burned: 2 (million) 0.21/0.47 % (23789)------------------------------ 0.21/0.47 % (23789)------------------------------ 0.21/0.47 % (23790)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 (1798ds/1041Mi) 0.21/0.48 % (23787)Instruction limit reached! 0.21/0.48 % (23787)------------------------------ 0.21/0.48 % (23787)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.48 % (23787)Termination reason: Unknown 0.21/0.48 % (23787)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (23787)Memory used [KB]: 5756 0.21/0.48 % (23787)Time elapsed: 0.040 s 0.21/0.48 % (23787)Instructions burned: 61 (million) 0.21/0.48 % (23787)------------------------------ 0.21/0.48 % (23787)------------------------------ 0.21/0.48 % (23791)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 (1798ds/11Mi) 0.21/0.49 % (23791)Instruction limit reached! 0.21/0.49 % (23791)------------------------------ 0.21/0.49 % (23791)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (23791)Termination reason: Unknown 0.21/0.49 % (23791)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (23791)Memory used [KB]: 5500 0.21/0.49 % (23791)Time elapsed: 0.006 s 0.21/0.49 % (23791)Instructions burned: 13 (million) 0.21/0.49 % (23791)------------------------------ 0.21/0.49 % (23791)------------------------------ 0.21/0.49 % (23792)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 (1798ds/140Mi) 0.21/0.49 % (23786)Instruction limit reached! 0.21/0.49 % (23786)------------------------------ 0.21/0.49 % (23786)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (23786)Termination reason: Unknown 0.21/0.49 % (23786)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (23786)Memory used [KB]: 6652 0.21/0.49 % (23786)Time elapsed: 0.057 s 0.21/0.49 % (23786)Instructions burned: 130 (million) 0.21/0.49 % (23786)------------------------------ 0.21/0.49 % (23786)------------------------------ 0.21/0.49 % (23792)Refutation not found, incomplete strategy 0.21/0.49 % (23792)------------------------------ 0.21/0.49 % (23792)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.49 % (23792)Termination reason: Refutation not found, incomplete strategy 0.21/0.49 0.21/0.49 0.21/0.49 % (23792)Memory used [KB]: 5500 0.21/0.49 % (23792)Time elapsed: 0.004 s 0.21/0.49 % (23792)Instructions burned: 4 (million) 0.21/0.49 % (23792)------------------------------ 0.21/0.49 % (23792)------------------------------ 0.21/0.49 % (23793)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 (1798ds/26Mi) 0.21/0.50 % (23794)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 (1798ds/56Mi) 0.21/0.50 % (23795)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 (1798ds/275Mi) 0.21/0.50 % (23793)Instruction limit reached! 0.21/0.50 % (23793)------------------------------ 0.21/0.50 % (23793)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.50 % (23793)Termination reason: Unknown 0.21/0.50 % (23793)Termination phase: Saturation 0.21/0.50 0.21/0.50 % (23793)Memory used [KB]: 5756 0.21/0.50 % (23793)Time elapsed: 0.009 s 0.21/0.50 % (23793)Instructions burned: 28 (million) 0.21/0.50 % (23793)------------------------------ 0.21/0.50 % (23793)------------------------------ 0.21/0.51 % (23796)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 (1798ds/3Mi) 0.21/0.51 % (23796)Instruction limit reached! 0.21/0.51 % (23796)------------------------------ 0.21/0.51 % (23796)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.51 % (23796)Termination reason: Unknown 0.21/0.51 % (23796)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (23796)Memory used [KB]: 1023 0.21/0.51 % (23796)Time elapsed: 0.002 s 0.21/0.51 % (23796)Instructions burned: 3 (million) 0.21/0.51 % (23796)------------------------------ 0.21/0.51 % (23796)------------------------------ 0.21/0.52 % (23797)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) 0.21/0.52 % (23794)Instruction limit reached! 0.21/0.52 % (23794)------------------------------ 0.21/0.52 % (23794)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (23794)Termination reason: Unknown 0.21/0.52 % (23794)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (23794)Memory used [KB]: 1279 0.21/0.52 % (23794)Time elapsed: 0.021 s 0.21/0.52 % (23794)Instructions burned: 58 (million) 0.21/0.52 % (23794)------------------------------ 0.21/0.52 % (23794)------------------------------ 0.21/0.52 % (23797)Instruction limit reached! 0.21/0.52 % (23797)------------------------------ 0.21/0.52 % (23797)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.52 % (23797)Termination reason: Unknown 0.21/0.52 % (23797)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (23797)Memory used [KB]: 5628 0.21/0.52 % (23797)Time elapsed: 0.008 s 0.21/0.53 % (23797)Instructions burned: 22 (million) 0.21/0.53 % (23797)------------------------------ 0.21/0.53 % (23797)------------------------------ 0.21/0.53 % (23798)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) 0.21/0.53 % (23799)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) 0.21/0.54 % (23798)Instruction limit reached! 0.21/0.54 % (23798)------------------------------ 0.21/0.54 % (23798)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.54 % (23798)Termination reason: Unknown 0.21/0.54 % (23798)Termination phase: Saturation 0.21/0.54 0.21/0.54 % (23798)Memory used [KB]: 1151 0.21/0.54 % (23798)Time elapsed: 0.017 s 0.21/0.54 % (23798)Instructions burned: 46 (million) 0.21/0.54 % (23798)------------------------------ 0.21/0.54 % (23798)------------------------------ 1.55/0.55 % (23785)First to succeed. 1.55/0.55 % (23785)Refutation found. Thanks to Tanya! 1.55/0.55 % SZS status Theorem for Vampire---4 1.55/0.55 % SZS output start Proof for Vampire---4 1.55/0.55 thf(type_def_5, type, a: $tType). 1.55/0.55 thf(func_def_0, type, a: $tType). 1.55/0.55 thf(func_def_9, type, sK0: a > $o). 1.55/0.55 thf(func_def_10, type, sK1: a > $o). 1.55/0.55 thf(func_def_11, type, sK2: a > a). 1.55/0.55 thf(func_def_12, type, sK3: a > a). 1.55/0.55 thf(func_def_13, type, sK4: (a > a) > a). 1.55/0.55 thf(func_def_14, type, sK5: (a > a) > a). 1.55/0.55 thf(func_def_16, type, ph7: !>[X0: $tType]:(X0)). 1.55/0.55 thf(func_def_17, type, sK8: a > (a > a) > a). 1.55/0.55 thf(func_def_18, type, sK9: a > (a > a) > a). 1.55/0.55 thf(f1050,plain,( 1.55/0.55 $false), 1.55/0.55 inference(avatar_sat_refutation,[],[f819,f873,f954,f1017,f1049])). 1.55/0.55 thf(f1049,plain,( 1.55/0.55 spl6_4 | spl6_5 | ~spl6_17), 1.55/0.55 inference(avatar_split_clause,[],[f1048,f866,f120,f117])). 1.55/0.55 thf(f117,plain,( 1.55/0.55 spl6_4 <=> ! [X1 : a] : (((sK1 @ X1) = $true) | ((sK4 @ sK3) != X1))), 1.55/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 1.55/0.55 thf(f120,plain,( 1.55/0.55 spl6_5 <=> ((sK0 @ (sK5 @ sK3)) = $true)), 1.55/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 1.55/0.55 thf(f866,plain,( 1.55/0.55 spl6_17 <=> ((sK4 @ sK3) = (sK3 @ (sK2 @ (sK4 @ sK3))))), 1.55/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 1.55/0.55 thf(f1048,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK4 @ sK3) != X0) | ((sK1 @ X0) = $true)) ) | (spl6_5 | ~spl6_17)), 1.55/0.55 inference(subsumption_resolution,[],[f1020,f121])). 1.55/0.55 thf(f121,plain,( 1.55/0.55 ((sK0 @ (sK5 @ sK3)) != $true) | spl6_5), 1.55/0.55 inference(avatar_component_clause,[],[f120])). 1.55/0.55 thf(f1020,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK4 @ sK3) != X0) | ((sK0 @ (sK5 @ sK3)) = $true) | ((sK1 @ X0) = $true)) ) | ~spl6_17), 1.55/0.55 inference(superposition,[],[f64,f867])). 1.55/0.55 thf(f867,plain,( 1.55/0.55 ((sK4 @ sK3) = (sK3 @ (sK2 @ (sK4 @ sK3)))) | ~spl6_17), 1.55/0.55 inference(avatar_component_clause,[],[f866])). 1.55/0.55 thf(f64,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : (((sK3 @ (sK2 @ (sK4 @ X0))) != X1) | ((sK0 @ (sK5 @ X0)) = $true) | ((sK1 @ X1) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f63])). 1.55/0.55 thf(f63,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : (((((sK2 @ X1) = (sK2 @ (sK4 @ X0))) & (sK1 @ X1)) = $true) | ((sK3 @ (sK2 @ (sK4 @ X0))) != X1) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f58])). 1.55/0.55 thf(f58,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : ((((sK3 @ (sK2 @ (sK4 @ X0))) = X1) = $false) | ((((sK2 @ X1) = (sK2 @ (sK4 @ X0))) & (sK1 @ X1)) = $true) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f57])). 1.55/0.55 thf(f57,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : (((sK0 @ (sK5 @ X0)) = $true) | ((((sK2 @ X1) = (sK2 @ (sK4 @ X0))) & (sK1 @ X1)) = ((sK3 @ (sK2 @ (sK4 @ X0))) = X1))) )), 1.55/0.55 inference(beta_eta_normalization,[],[f56])). 1.55/0.55 thf(f56,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : ((((^[Y0 : a]: (((sK2 @ Y0) = (sK2 @ (sK4 @ X0))) & (sK1 @ Y0))) @ X1) = ((sK3 @ (sK2 @ (sK4 @ X0))) = X1)) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(argument_congruence,[],[f27])). 1.55/0.55 thf(f27,plain,( 1.55/0.55 ( ! [X0 : a > a] : (((= @ (sK3 @ (sK2 @ (sK4 @ X0)))) = (^[Y0 : a]: (((sK2 @ Y0) = (sK2 @ (sK4 @ X0))) & (sK1 @ Y0)))) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(trivial_inequality_removal,[],[f26])). 1.55/0.55 thf(f26,plain,( 1.55/0.55 ( ! [X0 : a > a] : (($true != $true) | ((sK0 @ (sK5 @ X0)) = $true) | ((= @ (sK3 @ (sK2 @ (sK4 @ X0)))) = (^[Y0 : a]: (((sK2 @ Y0) = (sK2 @ (sK4 @ X0))) & (sK1 @ Y0))))) )), 1.55/0.55 inference(superposition,[],[f21,f25])). 1.55/0.55 thf(f25,plain,( 1.55/0.55 ( ! [X0 : a > a] : (((sK0 @ (sK2 @ (sK4 @ X0))) = $true) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(trivial_inequality_removal,[],[f24])). 1.55/0.55 thf(f24,plain,( 1.55/0.55 ( ! [X0 : a > a] : (((sK0 @ (sK2 @ (sK4 @ X0))) = $true) | ($true != $true) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(superposition,[],[f19,f16])). 1.55/0.55 thf(f16,plain,( 1.55/0.55 ( ! [X6 : a > a] : (((sK1 @ (sK4 @ X6)) = $true) | ((sK0 @ (sK5 @ X6)) = $true)) )), 1.55/0.55 inference(cnf_transformation,[],[f14])). 1.55/0.55 thf(f14,plain,( 1.55/0.55 (! [X3 : a] : (((sK0 @ X3) != $true) | (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ (sK3 @ X3)) = (^[Y0 : a]: (((sK2 @ Y0) = X3) & (sK1 @ Y0))))) & ! [X5 : a] : (((sK1 @ X5) != $true) | ((sK0 @ (sK2 @ X5)) = $true))) & ! [X6 : a > a] : ((! [X8 : a] : ((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) & ((sK1 @ (sK4 @ X6)) = $true)) | (((sK0 @ (sK5 @ X6)) = $true) & ((sK1 @ (X6 @ (sK5 @ X6))) != $true)))), 1.55/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f8,f13,f12,f11,f10,f9])). 1.55/0.55 thf(f9,plain,( 1.55/0.55 ? [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X0 @ X3) != $true) | ? [X4 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4) = (^[Y0 : a]: (((X2 @ Y0) = X3) & (X1 @ Y0))))) & ! [X5 : a] : (((X1 @ X5) != $true) | ((X0 @ (X2 @ X5)) = $true))) & ! [X6 : a > a] : (? [X7 : a] : (! [X8 : a] : ((^[Y0 : a]: (((X6 @ Y0) = X7) & (X0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) & ((X1 @ X7) = $true)) | ? [X9 : a] : (((X0 @ X9) = $true) & ((X1 @ (X6 @ X9)) != $true)))) => (? [X2 : a > a] : (! [X3 : a] : (((sK0 @ X3) != $true) | ? [X4 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4) = (^[Y0 : a]: (((X2 @ Y0) = X3) & (sK1 @ Y0))))) & ! [X5 : a] : (((sK1 @ X5) != $true) | ((sK0 @ (X2 @ X5)) = $true))) & ! [X6 : a > a] : (? [X7 : a] : (! [X8 : a] : ((^[Y0 : a]: (((X6 @ Y0) = X7) & (sK0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) & ((sK1 @ X7) = $true)) | ? [X9 : a] : (((sK0 @ X9) = $true) & ((sK1 @ (X6 @ X9)) != $true))))), 1.55/0.55 introduced(choice_axiom,[])). 1.55/0.55 thf(f10,plain,( 1.55/0.55 ? [X2 : a > a] : (! [X3 : a] : (((sK0 @ X3) != $true) | ? [X4 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4) = (^[Y0 : a]: (((X2 @ Y0) = X3) & (sK1 @ Y0))))) & ! [X5 : a] : (((sK1 @ X5) != $true) | ((sK0 @ (X2 @ X5)) = $true))) => (! [X3 : a] : (((sK0 @ X3) != $true) | ? [X4 : a] : ((^[Y0 : a]: (((sK2 @ Y0) = X3) & (sK1 @ Y0))) = ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4))) & ! [X5 : a] : (((sK1 @ X5) != $true) | ((sK0 @ (sK2 @ X5)) = $true)))), 1.55/0.55 introduced(choice_axiom,[])). 1.55/0.55 thf(f11,plain,( 1.55/0.55 ! [X3 : a] : (? [X4 : a] : ((^[Y0 : a]: (((sK2 @ Y0) = X3) & (sK1 @ Y0))) = ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4)) => (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ (sK3 @ X3)) = (^[Y0 : a]: (((sK2 @ Y0) = X3) & (sK1 @ Y0)))))), 1.55/0.55 introduced(choice_axiom,[])). 1.55/0.55 thf(f12,plain,( 1.55/0.55 ! [X6 : a > a] : (? [X7 : a] : (! [X8 : a] : ((^[Y0 : a]: (((X6 @ Y0) = X7) & (sK0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) & ((sK1 @ X7) = $true)) => (! [X8 : a] : ((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) & ((sK1 @ (sK4 @ X6)) = $true)))), 1.55/0.55 introduced(choice_axiom,[])). 1.55/0.55 thf(f13,plain,( 1.55/0.55 ! [X6 : a > a] : (? [X9 : a] : (((sK0 @ X9) = $true) & ((sK1 @ (X6 @ X9)) != $true)) => (((sK0 @ (sK5 @ X6)) = $true) & ((sK1 @ (X6 @ (sK5 @ X6))) != $true)))), 1.55/0.55 introduced(choice_axiom,[])). 1.55/0.55 thf(f8,plain,( 1.55/0.55 ? [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X0 @ X3) != $true) | ? [X4 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4) = (^[Y0 : a]: (((X2 @ Y0) = X3) & (X1 @ Y0))))) & ! [X5 : a] : (((X1 @ X5) != $true) | ((X0 @ (X2 @ X5)) = $true))) & ! [X6 : a > a] : (? [X7 : a] : (! [X8 : a] : ((^[Y0 : a]: (((X6 @ Y0) = X7) & (X0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) & ((X1 @ X7) = $true)) | ? [X9 : a] : (((X0 @ X9) = $true) & ((X1 @ (X6 @ X9)) != $true))))), 1.55/0.55 inference(rectify,[],[f7])). 1.55/0.55 thf(f7,plain,( 1.55/0.55 ? [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X0 @ X3) != $true) | ? [X4 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4) = (^[Y0 : a]: (((X2 @ Y0) = X3) & (X1 @ Y0))))) & ! [X5 : a] : (((X1 @ X5) != $true) | ((X0 @ (X2 @ X5)) = $true))) & ! [X6 : a > a] : (? [X8 : a] : (! [X9 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X9) != (^[Y0 : a]: (((X6 @ Y0) = X8) & (X0 @ Y0)))) & ((X1 @ X8) = $true)) | ? [X7 : a] : (((X0 @ X7) = $true) & ((X1 @ (X6 @ X7)) != $true))))), 1.55/0.55 inference(ennf_transformation,[],[f6])). 1.55/0.55 thf(f6,plain,( 1.55/0.55 ~! [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X0 @ X3) = $true) => ? [X4 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4) = (^[Y0 : a]: (((X2 @ Y0) = X3) & (X1 @ Y0))))) & ! [X5 : a] : (((X1 @ X5) = $true) => ((X0 @ (X2 @ X5)) = $true))) => ? [X6 : a > a] : (! [X8 : a] : (((X1 @ X8) = $true) => ? [X9 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X9) = (^[Y0 : a]: (((X6 @ Y0) = X8) & (X0 @ Y0))))) & ! [X7 : a] : (((X0 @ X7) = $true) => ((X1 @ (X6 @ X7)) = $true))))), 1.55/0.55 inference(rectify,[],[f5])). 1.55/0.55 thf(f5,plain,( 1.55/0.55 ~! [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X0 @ X3) = $true) => ? [X4 : a] : (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4) = (^[Y0 : a]: (((X2 @ Y0) = X3) & (X1 @ Y0))))) & ! [X8 : a] : (((X1 @ X8) = $true) => ((X0 @ (X2 @ X8)) = $true))) => ? [X9 : a > a] : (! [X10 : a] : (((X0 @ X10) = $true) => ((X1 @ (X9 @ X10)) = $true)) & ! [X11 : a] : (((X1 @ X11) = $true) => ? [X12 : a] : ((^[Y0 : a]: (((X9 @ Y0) = X11) & (X0 @ Y0))) = ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X12)))))), 1.55/0.55 inference(fool_elimination,[],[f4])). 1.55/0.55 thf(f4,plain,( 1.55/0.55 ~! [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : ((X0 @ X3) => ? [X4 : a] : (((^[X5 : a, X6 : a] : ((X5 = X6))) @ X4) = (^[X7 : a] : ((X1 @ X7) & ((X2 @ X7) = X3))))) & ! [X8 : a] : ((X1 @ X8) => (X0 @ (X2 @ X8)))) => ? [X9 : a > a] : (! [X10 : a] : ((X0 @ X10) => (X1 @ (X9 @ X10))) & ! [X11 : a] : ((X1 @ X11) => ? [X12 : a] : (((^[X13 : a, X14 : a] : ((X13 = X14))) @ X12) = (^[X15 : a] : ((X0 @ X15) & ((X9 @ X15) = X11)))))))), 1.55/0.55 inference(rectify,[],[f2])). 1.55/0.55 thf(f2,negated_conjecture,( 1.55/0.55 ~! [X1 : a > $o,X0 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : ((X1 @ X3) => ? [X6 : a] : (((^[X0 : a, X1 : a] : ((X0 = X1))) @ X6) = (^[X5 : a] : ((X0 @ X5) & ((X2 @ X5) = X3))))) & ! [X5 : a] : ((X0 @ X5) => (X1 @ (X2 @ X5)))) => ? [X2 : a > a] : (! [X5 : a] : ((X1 @ X5) => (X0 @ (X2 @ X5))) & ! [X3 : a] : ((X0 @ X3) => ? [X4 : a] : (((^[X0 : a, X1 : a] : ((X0 = X1))) @ X4) = (^[X5 : a] : ((X1 @ X5) & ((X2 @ X5) = X3)))))))), 1.55/0.55 inference(negated_conjecture,[],[f1])). 1.55/0.55 thf(f1,conjecture,( 1.55/0.55 ! [X1 : a > $o,X0 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : ((X1 @ X3) => ? [X6 : a] : (((^[X0 : a, X1 : a] : ((X0 = X1))) @ X6) = (^[X5 : a] : ((X0 @ X5) & ((X2 @ X5) = X3))))) & ! [X5 : a] : ((X0 @ X5) => (X1 @ (X2 @ X5)))) => ? [X2 : a > a] : (! [X5 : a] : ((X1 @ X5) => (X0 @ (X2 @ X5))) & ! [X3 : a] : ((X0 @ X3) => ? [X4 : a] : (((^[X0 : a, X1 : a] : ((X0 = X1))) @ X4) = (^[X5 : a] : ((X1 @ X5) & ((X2 @ X5) = X3)))))))), 1.55/0.55 file('/export/starexec/sandbox2/tmp/tmp.whrTgDhVMI/Vampire---4.8_23664',cEQP_1B_pme)). 1.55/0.55 thf(f19,plain,( 1.55/0.55 ( ! [X5 : a] : (((sK1 @ X5) != $true) | ((sK0 @ (sK2 @ X5)) = $true)) )), 1.55/0.55 inference(cnf_transformation,[],[f14])). 1.55/0.55 thf(f21,plain,( 1.55/0.55 ( ! [X3 : a] : (((sK0 @ X3) != $true) | ((^[Y0 : a]: (((sK2 @ Y0) = X3) & (sK1 @ Y0))) = (= @ (sK3 @ X3)))) )), 1.55/0.55 inference(beta_eta_normalization,[],[f20])). 1.55/0.55 thf(f20,plain,( 1.55/0.55 ( ! [X3 : a] : (((sK0 @ X3) != $true) | (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ (sK3 @ X3)) = (^[Y0 : a]: (((sK2 @ Y0) = X3) & (sK1 @ Y0))))) )), 1.55/0.55 inference(cnf_transformation,[],[f14])). 1.55/0.55 thf(f1017,plain,( 1.55/0.55 spl6_5 | spl6_17), 1.55/0.55 inference(avatar_contradiction_clause,[],[f1016])). 1.55/0.55 thf(f1016,plain,( 1.55/0.55 $false | (spl6_5 | spl6_17)), 1.55/0.55 inference(subsumption_resolution,[],[f1012,f121])). 1.55/0.55 thf(f1012,plain,( 1.55/0.55 ((sK0 @ (sK5 @ sK3)) = $true) | (spl6_5 | spl6_17)), 1.55/0.55 inference(trivial_inequality_removal,[],[f1009])). 1.55/0.55 thf(f1009,plain,( 1.55/0.55 ($true = $false) | ((sK0 @ (sK5 @ sK3)) = $true) | (spl6_5 | spl6_17)), 1.55/0.55 inference(superposition,[],[f1005,f16])). 1.55/0.55 thf(f1005,plain,( 1.55/0.55 ((sK1 @ (sK4 @ sK3)) = $false) | (spl6_5 | spl6_17)), 1.55/0.55 inference(subsumption_resolution,[],[f1004,f121])). 1.55/0.55 thf(f1004,plain,( 1.55/0.55 ((sK0 @ (sK5 @ sK3)) = $true) | ((sK1 @ (sK4 @ sK3)) = $false) | spl6_17), 1.55/0.55 inference(trivial_inequality_removal,[],[f1003])). 1.55/0.55 thf(f1003,plain,( 1.55/0.55 ((sK1 @ (sK4 @ sK3)) = $false) | ((sK0 @ (sK5 @ sK3)) = $true) | ((sK4 @ sK3) != (sK4 @ sK3)) | spl6_17), 1.55/0.55 inference(superposition,[],[f868,f71])). 1.55/0.55 thf(f71,plain,( 1.55/0.55 ( ! [X0 : a > a] : (((sK4 @ X0) = (sK3 @ (sK2 @ (sK4 @ X0)))) | ((sK1 @ (sK4 @ X0)) = $false) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(equality_resolution,[],[f62])). 1.55/0.55 thf(f62,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : (((sK2 @ (sK4 @ X0)) != (sK2 @ X1)) | ((sK3 @ (sK2 @ (sK4 @ X0))) = X1) | ((sK1 @ X1) = $false) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f61])). 1.55/0.55 thf(f61,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : (((sK3 @ (sK2 @ (sK4 @ X0))) = X1) | (((sK2 @ X1) = (sK2 @ (sK4 @ X0))) = $false) | ((sK0 @ (sK5 @ X0)) = $true) | ((sK1 @ X1) = $false)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f60])). 1.55/0.55 thf(f60,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : (((sK0 @ (sK5 @ X0)) = $true) | ($true = ((sK3 @ (sK2 @ (sK4 @ X0))) = X1)) | ((sK1 @ X1) = $false) | (((sK2 @ X1) = (sK2 @ (sK4 @ X0))) = $false)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f59])). 1.55/0.55 thf(f59,plain,( 1.55/0.55 ( ! [X0 : a > a,X1 : a] : (((((sK2 @ X1) = (sK2 @ (sK4 @ X0))) & (sK1 @ X1)) = $false) | ($true = ((sK3 @ (sK2 @ (sK4 @ X0))) = X1)) | ((sK0 @ (sK5 @ X0)) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f57])). 1.55/0.55 thf(f868,plain,( 1.55/0.55 ((sK4 @ sK3) != (sK3 @ (sK2 @ (sK4 @ sK3)))) | spl6_17), 1.55/0.55 inference(avatar_component_clause,[],[f866])). 1.55/0.55 thf(f954,plain,( 1.55/0.55 ~spl6_4 | spl6_5 | ~spl6_17 | ~spl6_18), 1.55/0.55 inference(avatar_contradiction_clause,[],[f953])). 1.55/0.55 thf(f953,plain,( 1.55/0.55 $false | (~spl6_4 | spl6_5 | ~spl6_17 | ~spl6_18)), 1.55/0.55 inference(trivial_inequality_removal,[],[f952])). 1.55/0.55 thf(f952,plain,( 1.55/0.55 ($true = $false) | (~spl6_4 | spl6_5 | ~spl6_17 | ~spl6_18)), 1.55/0.55 inference(backward_demodulation,[],[f822,f951])). 1.55/0.55 thf(f951,plain,( 1.55/0.55 ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | (spl6_5 | ~spl6_17 | ~spl6_18)), 1.55/0.55 inference(subsumption_resolution,[],[f950,f121])). 1.55/0.55 thf(f950,plain,( 1.55/0.55 ((sK0 @ (sK5 @ sK3)) = $true) | ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | (~spl6_17 | ~spl6_18)), 1.55/0.55 inference(subsumption_resolution,[],[f949,f867])). 1.55/0.55 thf(f949,plain,( 1.55/0.55 ((sK4 @ sK3) != (sK3 @ (sK2 @ (sK4 @ sK3)))) | ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | ((sK0 @ (sK5 @ sK3)) = $true) | ~spl6_18), 1.55/0.55 inference(trivial_inequality_removal,[],[f914])). 1.55/0.55 thf(f914,plain,( 1.55/0.55 ((sK2 @ (sK4 @ sK3)) != (sK2 @ (sK4 @ sK3))) | ((sK4 @ sK3) != (sK3 @ (sK2 @ (sK4 @ sK3)))) | ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | ((sK0 @ (sK5 @ sK3)) = $true) | ~spl6_18), 1.55/0.55 inference(superposition,[],[f34,f913])). 1.55/0.55 thf(f913,plain,( 1.55/0.55 ((sK8 @ (sK2 @ (sK4 @ sK3)) @ sK3) = (sK2 @ (sK4 @ sK3))) | ~spl6_18), 1.55/0.55 inference(equality_resolution,[],[f871])). 1.55/0.55 thf(f871,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK2 @ (sK4 @ sK3)) != X0) | ((sK8 @ X0 @ sK3) = X0)) ) | ~spl6_18), 1.55/0.55 inference(avatar_component_clause,[],[f870])). 1.55/0.55 thf(f870,plain,( 1.55/0.55 spl6_18 <=> ! [X0 : a] : (((sK2 @ (sK4 @ sK3)) != X0) | ((sK8 @ X0 @ sK3) = X0))), 1.55/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 1.55/0.55 thf(f34,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((X6 @ (sK8 @ X8 @ X6)) != (sK4 @ X6)) | ((sK0 @ (sK5 @ X6)) = $true) | ((sK8 @ X8 @ X6) != X8) | ((sK0 @ (sK8 @ X8 @ X6)) = $false)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f33])). 1.55/0.55 thf(f33,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((X8 = (sK8 @ X8 @ X6)) = $false) | ((sK0 @ (sK5 @ X6)) = $true) | ((X6 @ (sK8 @ X8 @ X6)) != (sK4 @ X6)) | ((sK0 @ (sK8 @ X8 @ X6)) = $false)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f32])). 1.55/0.55 thf(f32,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK0 @ (sK8 @ X8 @ X6)) = $false) | (((X6 @ (sK8 @ X8 @ X6)) = (sK4 @ X6)) = $false) | ((X8 = (sK8 @ X8 @ X6)) = $false) | ((sK0 @ (sK5 @ X6)) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f31])). 1.55/0.55 thf(f31,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((((X6 @ (sK8 @ X8 @ X6)) = (sK4 @ X6)) & (sK0 @ (sK8 @ X8 @ X6))) = $false) | ((sK0 @ (sK5 @ X6)) = $true) | ((X8 = (sK8 @ X8 @ X6)) = $false)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f29])). 1.55/0.55 thf(f29,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK0 @ (sK5 @ X6)) = $true) | ((X8 = (sK8 @ X8 @ X6)) != (((X6 @ (sK8 @ X8 @ X6)) = (sK4 @ X6)) & (sK0 @ (sK8 @ X8 @ X6))))) )), 1.55/0.55 inference(beta_eta_normalization,[],[f28])). 1.55/0.55 thf(f28,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK0 @ (sK5 @ X6)) = $true) | (((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) @ (sK8 @ X8 @ X6)) != (X8 = (sK8 @ X8 @ X6)))) )), 1.55/0.55 inference(negative_extensionality,[],[f22])). 1.55/0.55 thf(f22,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) != (= @ X8)) | ((sK0 @ (sK5 @ X6)) = $true)) )), 1.55/0.55 inference(beta_eta_normalization,[],[f18])). 1.55/0.55 thf(f18,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) | ((sK0 @ (sK5 @ X6)) = $true)) )), 1.55/0.55 inference(cnf_transformation,[],[f14])). 1.55/0.55 thf(f822,plain,( 1.55/0.55 ((sK0 @ (sK2 @ (sK4 @ sK3))) = $true) | ~spl6_4), 1.55/0.55 inference(trivial_inequality_removal,[],[f821])). 1.55/0.55 thf(f821,plain,( 1.55/0.55 ((sK0 @ (sK2 @ (sK4 @ sK3))) = $true) | ($true != $true) | ~spl6_4), 1.55/0.55 inference(superposition,[],[f19,f634])). 1.55/0.55 thf(f634,plain,( 1.55/0.55 ((sK1 @ (sK4 @ sK3)) = $true) | ~spl6_4), 1.55/0.55 inference(equality_resolution,[],[f118])). 1.55/0.55 thf(f118,plain,( 1.55/0.55 ( ! [X1 : a] : (((sK4 @ sK3) != X1) | ((sK1 @ X1) = $true)) ) | ~spl6_4), 1.55/0.55 inference(avatar_component_clause,[],[f117])). 1.55/0.55 thf(f873,plain,( 1.55/0.55 spl6_18 | spl6_5), 1.55/0.55 inference(avatar_split_clause,[],[f861,f120,f870])). 1.55/0.55 thf(f861,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK2 @ (sK4 @ sK3)) != X0) | ((sK8 @ X0 @ sK3) = X0)) ) | spl6_5), 1.55/0.55 inference(equality_factoring,[],[f820])). 1.55/0.55 thf(f820,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK8 @ X0 @ sK3) = (sK2 @ (sK4 @ sK3))) | ((sK8 @ X0 @ sK3) = X0)) ) | spl6_5), 1.55/0.55 inference(subsumption_resolution,[],[f176,f121])). 1.55/0.55 thf(f176,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK0 @ (sK5 @ sK3)) = $true) | ((sK8 @ X0 @ sK3) = (sK2 @ (sK4 @ sK3))) | ((sK8 @ X0 @ sK3) = X0)) )), 1.55/0.55 inference(duplicate_literal_removal,[],[f172])). 1.55/0.55 thf(f172,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK8 @ X0 @ sK3) = (sK2 @ (sK4 @ sK3))) | ((sK0 @ (sK5 @ sK3)) = $true) | ((sK8 @ X0 @ sK3) = X0) | ((sK0 @ (sK5 @ sK3)) = $true) | ((sK8 @ X0 @ sK3) = X0)) )), 1.55/0.55 inference(superposition,[],[f149,f38])). 1.55/0.55 thf(f38,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((X6 @ (sK8 @ X8 @ X6)) = (sK4 @ X6)) | ((sK0 @ (sK5 @ X6)) = $true) | ((sK8 @ X8 @ X6) = X8)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f37])). 1.55/0.55 thf(f37,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK8 @ X8 @ X6) = X8) | (((X6 @ (sK8 @ X8 @ X6)) = (sK4 @ X6)) = $true) | ((sK0 @ (sK5 @ X6)) = $true)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f36])). 1.55/0.55 thf(f36,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK0 @ (sK5 @ X6)) = $true) | ((X8 = (sK8 @ X8 @ X6)) = $true) | (((X6 @ (sK8 @ X8 @ X6)) = (sK4 @ X6)) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f30])). 1.55/0.55 thf(f30,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((((X6 @ (sK8 @ X8 @ X6)) = (sK4 @ X6)) & (sK0 @ (sK8 @ X8 @ X6))) = $true) | ((X8 = (sK8 @ X8 @ X6)) = $true) | ((sK0 @ (sK5 @ X6)) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f29])). 1.55/0.55 thf(f149,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a > a] : (((sK8 @ X0 @ X1) = (sK2 @ (sK3 @ (sK8 @ X0 @ X1)))) | ((sK8 @ X0 @ X1) = X0) | ((sK0 @ (sK5 @ X1)) = $true)) )), 1.55/0.55 inference(equality_resolution,[],[f89])). 1.55/0.55 thf(f89,plain,( 1.55/0.55 ( ! [X2 : a,X0 : a,X1 : a > a] : (((sK3 @ (sK8 @ X0 @ X1)) != X2) | ((sK8 @ X0 @ X1) = X0) | ((sK2 @ X2) = (sK8 @ X0 @ X1)) | ((sK0 @ (sK5 @ X1)) = $true)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f88])). 1.55/0.55 thf(f88,plain,( 1.55/0.55 ( ! [X2 : a,X0 : a,X1 : a > a] : ((((sK3 @ (sK8 @ X0 @ X1)) = X2) = $false) | ((sK8 @ X0 @ X1) = X0) | ((sK0 @ (sK5 @ X1)) = $true) | ((sK2 @ X2) = (sK8 @ X0 @ X1))) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f87])). 1.55/0.55 thf(f87,plain,( 1.55/0.55 ( ! [X2 : a,X0 : a,X1 : a > a] : (((sK0 @ (sK5 @ X1)) = $true) | ($true = ((sK2 @ X2) = (sK8 @ X0 @ X1))) | (((sK3 @ (sK8 @ X0 @ X1)) = X2) = $false) | ((sK8 @ X0 @ X1) = X0)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f85])). 1.55/0.55 thf(f85,plain,( 1.55/0.55 ( ! [X2 : a,X0 : a,X1 : a > a] : (((sK0 @ (sK5 @ X1)) = $true) | ((sK8 @ X0 @ X1) = X0) | ((((sK2 @ X2) = (sK8 @ X0 @ X1)) & (sK1 @ X2)) = $true) | (((sK3 @ (sK8 @ X0 @ X1)) = X2) = $false)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f83])). 1.55/0.55 thf(f83,plain,( 1.55/0.55 ( ! [X2 : a,X0 : a,X1 : a > a] : ((((sK3 @ (sK8 @ X0 @ X1)) = X2) = (((sK2 @ X2) = (sK8 @ X0 @ X1)) & (sK1 @ X2))) | ((sK0 @ (sK5 @ X1)) = $true) | ((sK8 @ X0 @ X1) = X0)) )), 1.55/0.55 inference(beta_eta_normalization,[],[f82])). 1.55/0.55 thf(f82,plain,( 1.55/0.55 ( ! [X2 : a,X0 : a,X1 : a > a] : ((((sK3 @ (sK8 @ X0 @ X1)) = X2) = ((^[Y0 : a]: (((sK2 @ Y0) = (sK8 @ X0 @ X1)) & (sK1 @ Y0))) @ X2)) | ((sK8 @ X0 @ X1) = X0) | ((sK0 @ (sK5 @ X1)) = $true)) )), 1.55/0.55 inference(argument_congruence,[],[f53])). 1.55/0.55 thf(f53,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a > a] : (((^[Y0 : a]: (((sK2 @ Y0) = (sK8 @ X0 @ X1)) & (sK1 @ Y0))) = (= @ (sK3 @ (sK8 @ X0 @ X1)))) | ((sK8 @ X0 @ X1) = X0) | ((sK0 @ (sK5 @ X1)) = $true)) )), 1.55/0.55 inference(trivial_inequality_removal,[],[f52])). 1.55/0.55 thf(f52,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a > a] : (((sK0 @ (sK5 @ X1)) = $true) | ($true != $true) | ((^[Y0 : a]: (((sK2 @ Y0) = (sK8 @ X0 @ X1)) & (sK1 @ Y0))) = (= @ (sK3 @ (sK8 @ X0 @ X1)))) | ((sK8 @ X0 @ X1) = X0)) )), 1.55/0.55 inference(superposition,[],[f21,f39])). 1.55/0.55 thf(f39,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK0 @ (sK8 @ X8 @ X6)) = $true) | ((sK0 @ (sK5 @ X6)) = $true) | ((sK8 @ X8 @ X6) = X8)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f35])). 1.55/0.55 thf(f35,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK0 @ (sK8 @ X8 @ X6)) = $true) | ((X8 = (sK8 @ X8 @ X6)) = $true) | ((sK0 @ (sK5 @ X6)) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f30])). 1.55/0.55 thf(f819,plain,( 1.55/0.55 ~spl6_5), 1.55/0.55 inference(avatar_contradiction_clause,[],[f818])). 1.55/0.55 thf(f818,plain,( 1.55/0.55 $false | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f817])). 1.55/0.55 thf(f817,plain,( 1.55/0.55 ($true = $false) | ~spl6_5), 1.55/0.55 inference(backward_demodulation,[],[f389,f816])). 1.55/0.55 thf(f816,plain,( 1.55/0.55 ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | ~spl6_5), 1.55/0.55 inference(subsumption_resolution,[],[f815,f584])). 1.55/0.55 thf(f584,plain,( 1.55/0.55 ((sK4 @ sK3) = (sK3 @ (sK2 @ (sK4 @ sK3)))) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f583])). 1.55/0.55 thf(f583,plain,( 1.55/0.55 ((sK4 @ sK3) = (sK3 @ (sK2 @ (sK4 @ sK3)))) | ($true = $false) | ~spl6_5), 1.55/0.55 inference(forward_demodulation,[],[f582,f223])). 1.55/0.55 thf(f223,plain,( 1.55/0.55 ((sK1 @ (sK4 @ sK3)) = $true) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f220])). 1.55/0.55 thf(f220,plain,( 1.55/0.55 ($true != $true) | ((sK1 @ (sK4 @ sK3)) = $true) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f15,f216])). 1.55/0.55 thf(f216,plain,( 1.55/0.55 ((sK1 @ (sK3 @ (sK5 @ sK3))) = $true) | ~spl6_5), 1.55/0.55 inference(equality_resolution,[],[f212])). 1.55/0.55 thf(f212,plain,( 1.55/0.55 ( ! [X1 : a] : (((sK3 @ (sK5 @ sK3)) != X1) | ((sK1 @ X1) = $true)) ) | ~spl6_5), 1.55/0.55 inference(equality_proxy_clausification,[],[f208])). 1.55/0.55 thf(f208,plain,( 1.55/0.55 ( ! [X1 : a] : ((((sK3 @ (sK5 @ sK3)) = X1) = $false) | ((sK1 @ X1) = $true)) ) | ~spl6_5), 1.55/0.55 inference(binary_proxy_clausification,[],[f207])). 1.55/0.55 thf(f207,plain,( 1.55/0.55 ( ! [X1 : a] : (((((sK2 @ X1) = (sK5 @ sK3)) & (sK1 @ X1)) = $true) | (((sK3 @ (sK5 @ sK3)) = X1) = $false)) ) | ~spl6_5), 1.55/0.55 inference(binary_proxy_clausification,[],[f205])). 1.55/0.55 thf(f205,plain,( 1.55/0.55 ( ! [X1 : a] : ((((sK3 @ (sK5 @ sK3)) = X1) = (((sK2 @ X1) = (sK5 @ sK3)) & (sK1 @ X1)))) ) | ~spl6_5), 1.55/0.55 inference(beta_eta_normalization,[],[f204])). 1.55/0.55 thf(f204,plain,( 1.55/0.55 ( ! [X1 : a] : ((((sK3 @ (sK5 @ sK3)) = X1) = ((^[Y0 : a]: (((sK2 @ Y0) = (sK5 @ sK3)) & (sK1 @ Y0))) @ X1))) ) | ~spl6_5), 1.55/0.55 inference(argument_congruence,[],[f156])). 1.55/0.55 thf(f156,plain,( 1.55/0.55 ((= @ (sK3 @ (sK5 @ sK3))) = (^[Y0 : a]: (((sK2 @ Y0) = (sK5 @ sK3)) & (sK1 @ Y0)))) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f155])). 1.55/0.55 thf(f155,plain,( 1.55/0.55 ($true != $true) | ((= @ (sK3 @ (sK5 @ sK3))) = (^[Y0 : a]: (((sK2 @ Y0) = (sK5 @ sK3)) & (sK1 @ Y0)))) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f21,f122])). 1.55/0.55 thf(f122,plain,( 1.55/0.55 ((sK0 @ (sK5 @ sK3)) = $true) | ~spl6_5), 1.55/0.55 inference(avatar_component_clause,[],[f120])). 1.55/0.55 thf(f15,plain,( 1.55/0.55 ( ! [X6 : a > a] : (((sK1 @ (X6 @ (sK5 @ X6))) != $true) | ((sK1 @ (sK4 @ X6)) = $true)) )), 1.55/0.55 inference(cnf_transformation,[],[f14])). 1.55/0.55 thf(f582,plain,( 1.55/0.55 ((sK4 @ sK3) = (sK3 @ (sK2 @ (sK4 @ sK3)))) | ((sK1 @ (sK4 @ sK3)) = $false) | ~spl6_5), 1.55/0.55 inference(equality_resolution,[],[f458])). 1.55/0.55 thf(f458,plain,( 1.55/0.55 ( ! [X1 : a] : (((sK2 @ X1) != (sK2 @ (sK4 @ sK3))) | ((sK1 @ X1) = $false) | ((sK3 @ (sK2 @ (sK4 @ sK3))) = X1)) ) | ~spl6_5), 1.55/0.55 inference(equality_proxy_clausification,[],[f457])). 1.55/0.55 thf(f457,plain,( 1.55/0.55 ( ! [X1 : a] : (((sK1 @ X1) = $false) | (((sK2 @ X1) = (sK2 @ (sK4 @ sK3))) = $false) | ((sK3 @ (sK2 @ (sK4 @ sK3))) = X1)) ) | ~spl6_5), 1.55/0.55 inference(equality_proxy_clausification,[],[f456])). 1.55/0.55 thf(f456,plain,( 1.55/0.55 ( ! [X1 : a] : (((sK1 @ X1) = $false) | ($true = ((sK3 @ (sK2 @ (sK4 @ sK3))) = X1)) | (((sK2 @ X1) = (sK2 @ (sK4 @ sK3))) = $false)) ) | ~spl6_5), 1.55/0.55 inference(binary_proxy_clausification,[],[f449])). 1.55/0.55 thf(f449,plain,( 1.55/0.55 ( ! [X1 : a] : (((((sK2 @ X1) = (sK2 @ (sK4 @ sK3))) & (sK1 @ X1)) = $false) | ($true = ((sK3 @ (sK2 @ (sK4 @ sK3))) = X1))) ) | ~spl6_5), 1.55/0.55 inference(binary_proxy_clausification,[],[f448])). 1.55/0.55 thf(f448,plain,( 1.55/0.55 ( ! [X1 : a] : ((((sK3 @ (sK2 @ (sK4 @ sK3))) = X1) = (((sK2 @ X1) = (sK2 @ (sK4 @ sK3))) & (sK1 @ X1)))) ) | ~spl6_5), 1.55/0.55 inference(beta_eta_normalization,[],[f447])). 1.55/0.55 thf(f447,plain,( 1.55/0.55 ( ! [X1 : a] : ((((^[Y0 : a]: (((sK2 @ Y0) = (sK2 @ (sK4 @ sK3))) & (sK1 @ Y0))) @ X1) = ((sK3 @ (sK2 @ (sK4 @ sK3))) = X1))) ) | ~spl6_5), 1.55/0.55 inference(argument_congruence,[],[f400])). 1.55/0.55 thf(f400,plain,( 1.55/0.55 ((= @ (sK3 @ (sK2 @ (sK4 @ sK3)))) = (^[Y0 : a]: (((sK2 @ Y0) = (sK2 @ (sK4 @ sK3))) & (sK1 @ Y0)))) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f399])). 1.55/0.55 thf(f399,plain,( 1.55/0.55 ((= @ (sK3 @ (sK2 @ (sK4 @ sK3)))) = (^[Y0 : a]: (((sK2 @ Y0) = (sK2 @ (sK4 @ sK3))) & (sK1 @ Y0)))) | ($true != $true) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f21,f389])). 1.55/0.55 thf(f815,plain,( 1.55/0.55 ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | ((sK4 @ sK3) != (sK3 @ (sK2 @ (sK4 @ sK3)))) | ~spl6_5), 1.55/0.55 inference(subsumption_resolution,[],[f814,f216])). 1.55/0.55 thf(f814,plain,( 1.55/0.55 ((sK1 @ (sK3 @ (sK5 @ sK3))) != $true) | ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | ((sK4 @ sK3) != (sK3 @ (sK2 @ (sK4 @ sK3)))) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f806])). 1.55/0.55 thf(f806,plain,( 1.55/0.55 ((sK0 @ (sK2 @ (sK4 @ sK3))) = $false) | ((sK1 @ (sK3 @ (sK5 @ sK3))) != $true) | ((sK4 @ sK3) != (sK3 @ (sK2 @ (sK4 @ sK3)))) | ((sK2 @ (sK4 @ sK3)) != (sK2 @ (sK4 @ sK3))) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f46,f790])). 1.55/0.55 thf(f790,plain,( 1.55/0.55 ((sK9 @ (sK2 @ (sK4 @ sK3)) @ sK3) = (sK2 @ (sK4 @ sK3))) | ~spl6_5), 1.55/0.55 inference(equality_resolution,[],[f776])). 1.55/0.55 thf(f776,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK2 @ (sK4 @ sK3)) != X0) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(equality_factoring,[],[f762])). 1.55/0.55 thf(f762,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK9 @ X0 @ sK3) = (sK2 @ (sK4 @ sK3))) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(equality_resolution,[],[f749])). 1.55/0.55 thf(f749,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : (((sK4 @ sK3) != X1) | ((sK9 @ X0 @ sK3) = X0) | ((sK2 @ X1) = (sK9 @ X0 @ sK3))) ) | ~spl6_5), 1.55/0.55 inference(duplicate_literal_removal,[],[f747])). 1.55/0.55 thf(f747,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : (((sK9 @ X0 @ sK3) = X0) | ((sK9 @ X0 @ sK3) = X0) | ((sK2 @ X1) = (sK9 @ X0 @ sK3)) | ((sK4 @ sK3) != X1)) ) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f604,f221])). 1.55/0.55 thf(f221,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK3 @ (sK9 @ X0 @ sK3)) = (sK4 @ sK3)) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f218])). 1.55/0.55 thf(f218,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK9 @ X0 @ sK3) = X0) | ((sK3 @ (sK9 @ X0 @ sK3)) = (sK4 @ sK3)) | ($true != $true)) ) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f50,f216])). 1.55/0.55 thf(f50,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK1 @ (X6 @ (sK5 @ X6))) != $true) | ((sK9 @ X8 @ X6) = X8) | ((sK4 @ X6) = (X6 @ (sK9 @ X8 @ X6)))) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f49])). 1.55/0.55 thf(f49,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK1 @ (X6 @ (sK5 @ X6))) != $true) | (((X6 @ (sK9 @ X8 @ X6)) = (sK4 @ X6)) = $true) | ((sK9 @ X8 @ X6) = X8)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f48])). 1.55/0.55 thf(f48,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK1 @ (X6 @ (sK5 @ X6))) != $true) | ($true = (X8 = (sK9 @ X8 @ X6))) | (((X6 @ (sK9 @ X8 @ X6)) = (sK4 @ X6)) = $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f42])). 1.55/0.55 thf(f42,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((((X6 @ (sK9 @ X8 @ X6)) = (sK4 @ X6)) & (sK0 @ (sK9 @ X8 @ X6))) = $true) | ($true = (X8 = (sK9 @ X8 @ X6))) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f41])). 1.55/0.55 thf(f41,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK1 @ (X6 @ (sK5 @ X6))) != $true) | ((((X6 @ (sK9 @ X8 @ X6)) = (sK4 @ X6)) & (sK0 @ (sK9 @ X8 @ X6))) != (X8 = (sK9 @ X8 @ X6)))) )), 1.55/0.55 inference(beta_eta_normalization,[],[f40])). 1.55/0.55 thf(f40,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : ((((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) @ (sK9 @ X8 @ X6)) != (X8 = (sK9 @ X8 @ X6))) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(negative_extensionality,[],[f23])). 1.55/0.55 thf(f23,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) != (= @ X8)) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(beta_eta_normalization,[],[f17])). 1.55/0.55 thf(f17,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((^[Y0 : a]: (((X6 @ Y0) = (sK4 @ X6)) & (sK0 @ Y0))) != ((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X8)) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(cnf_transformation,[],[f14])). 1.55/0.55 thf(f604,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : (((sK3 @ (sK9 @ X0 @ sK3)) != X1) | ((sK9 @ X0 @ sK3) = X0) | ((sK2 @ X1) = (sK9 @ X0 @ sK3))) ) | ~spl6_5), 1.55/0.55 inference(equality_proxy_clausification,[],[f603])). 1.55/0.55 thf(f603,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : (($true = ((sK2 @ X1) = (sK9 @ X0 @ sK3))) | ((sK9 @ X0 @ sK3) = X0) | ((sK3 @ (sK9 @ X0 @ sK3)) != X1)) ) | ~spl6_5), 1.55/0.55 inference(binary_proxy_clausification,[],[f601])). 1.55/0.55 thf(f601,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : (((sK9 @ X0 @ sK3) = X0) | ((sK3 @ (sK9 @ X0 @ sK3)) != X1) | ((((sK2 @ X1) = (sK9 @ X0 @ sK3)) & (sK1 @ X1)) = $true)) ) | ~spl6_5), 1.55/0.55 inference(equality_proxy_clausification,[],[f596])). 1.55/0.55 thf(f596,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : (($false = ((sK3 @ (sK9 @ X0 @ sK3)) = X1)) | ((((sK2 @ X1) = (sK9 @ X0 @ sK3)) & (sK1 @ X1)) = $true) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(binary_proxy_clausification,[],[f595])). 1.55/0.55 thf(f595,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : (((((sK2 @ X1) = (sK9 @ X0 @ sK3)) & (sK1 @ X1)) = ((sK3 @ (sK9 @ X0 @ sK3)) = X1)) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(beta_eta_normalization,[],[f594])). 1.55/0.55 thf(f594,plain,( 1.55/0.55 ( ! [X0 : a,X1 : a] : ((((^[Y0 : a]: (((sK2 @ Y0) = (sK9 @ X0 @ sK3)) & (sK1 @ Y0))) @ X1) = ((sK3 @ (sK9 @ X0 @ sK3)) = X1)) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(argument_congruence,[],[f280])). 1.55/0.55 thf(f280,plain,( 1.55/0.55 ( ! [X0 : a] : (((^[Y0 : a]: (((sK2 @ Y0) = (sK9 @ X0 @ sK3)) & (sK1 @ Y0))) = (= @ (sK3 @ (sK9 @ X0 @ sK3)))) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f279])). 1.55/0.55 thf(f279,plain,( 1.55/0.55 ( ! [X0 : a] : (($true != $true) | ((sK9 @ X0 @ sK3) = X0) | ((^[Y0 : a]: (((sK2 @ Y0) = (sK9 @ X0 @ sK3)) & (sK1 @ Y0))) = (= @ (sK3 @ (sK9 @ X0 @ sK3))))) ) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f21,f222])). 1.55/0.55 thf(f222,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK0 @ (sK9 @ X0 @ sK3)) = $true) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f219])). 1.55/0.55 thf(f219,plain,( 1.55/0.55 ( ! [X0 : a] : (((sK0 @ (sK9 @ X0 @ sK3)) = $true) | ($true != $true) | ((sK9 @ X0 @ sK3) = X0)) ) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f51,f216])). 1.55/0.55 thf(f51,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK1 @ (X6 @ (sK5 @ X6))) != $true) | ((sK9 @ X8 @ X6) = X8) | ((sK0 @ (sK9 @ X8 @ X6)) = $true)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f47])). 1.55/0.55 thf(f47,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (($true = (X8 = (sK9 @ X8 @ X6))) | ((sK0 @ (sK9 @ X8 @ X6)) = $true) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f42])). 1.55/0.55 thf(f46,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK4 @ X6) != (X6 @ (sK9 @ X8 @ X6))) | ((sK9 @ X8 @ X6) != X8) | ((sK0 @ (sK9 @ X8 @ X6)) = $false) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f45])). 1.55/0.55 thf(f45,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : ((((X6 @ (sK9 @ X8 @ X6)) = (sK4 @ X6)) = $false) | ((sK9 @ X8 @ X6) != X8) | ((sK0 @ (sK9 @ X8 @ X6)) = $false) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f44])). 1.55/0.55 thf(f44,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((((X6 @ (sK9 @ X8 @ X6)) = (sK4 @ X6)) & (sK0 @ (sK9 @ X8 @ X6))) = $false) | ((sK9 @ X8 @ X6) != X8) | ((sK1 @ (X6 @ (sK5 @ X6))) != $true)) )), 1.55/0.55 inference(equality_proxy_clausification,[],[f43])). 1.55/0.55 thf(f43,plain,( 1.55/0.55 ( ! [X8 : a,X6 : a > a] : (((sK1 @ (X6 @ (sK5 @ X6))) != $true) | ((X8 = (sK9 @ X8 @ X6)) = $false) | ((((X6 @ (sK9 @ X8 @ X6)) = (sK4 @ X6)) & (sK0 @ (sK9 @ X8 @ X6))) = $false)) )), 1.55/0.55 inference(binary_proxy_clausification,[],[f41])). 1.55/0.55 thf(f389,plain,( 1.55/0.55 ((sK0 @ (sK2 @ (sK4 @ sK3))) = $true) | ~spl6_5), 1.55/0.55 inference(trivial_inequality_removal,[],[f388])). 1.55/0.55 thf(f388,plain,( 1.55/0.55 ($true != $true) | ((sK0 @ (sK2 @ (sK4 @ sK3))) = $true) | ~spl6_5), 1.55/0.55 inference(superposition,[],[f19,f223])). 1.55/0.55 % SZS output end Proof for Vampire---4 1.55/0.55 % (23785)------------------------------ 1.55/0.55 % (23785)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.55/0.55 % (23785)Termination reason: Refutation 1.55/0.55 1.55/0.55 % (23785)Memory used [KB]: 6140 1.55/0.55 % (23785)Time elapsed: 0.127 s 1.55/0.55 % (23785)Instructions burned: 271 (million) 1.55/0.55 % (23785)------------------------------ 1.55/0.55 % (23785)------------------------------ 1.55/0.55 % (23771)Success in time 0.189 s 1.55/0.55 % Vampire---4.8 exiting 1.55/0.55 EOF