0.02/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.12 % Command : run_vampire %s %d THM 0.10/0.32 % Computer : n021.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 1920 0.10/0.32 % WCLimit : 240 0.10/0.32 % DateTime : Wed Jul 30 02:44:34 EDT 2025 0.10/0.32 % CPUTime : 0.10/0.34 This is a THF_ problem 0.10/0.34 Running higher-order theorem proving 0.10/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p -m 16384 -t 240 0.17/0.38 % (18125)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/2Mi) 0.17/0.38 % (18128)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/18Mi) 0.17/0.38 % (18127)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/275Mi) 0.17/0.38 % (18126)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/2Mi) 0.17/0.38 % (18124)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/27Mi) 0.17/0.38 % (18125)Instruction limit reached! 0.17/0.38 % (18125)------------------------------ 0.17/0.38 % (18125)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (18125)Termination reason: Unknown 0.17/0.38 % (18125)Termination phase: Property scanning 0.17/0.38 0.17/0.38 % (18125)Memory used [KB]: 1023 0.17/0.38 % (18125)Time elapsed: 0.004 s 0.17/0.38 % (18125)Instructions burned: 3 (million) 0.17/0.38 % (18125)------------------------------ 0.17/0.38 % (18125)------------------------------ 0.17/0.38 % (18126)Instruction limit reached! 0.17/0.38 % (18126)------------------------------ 0.17/0.38 % (18126)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (18126)Termination reason: Unknown 0.17/0.38 % (18126)Termination phase: Property scanning 0.17/0.38 0.17/0.38 % (18126)Memory used [KB]: 1023 0.17/0.38 % (18126)Time elapsed: 0.005 s 0.17/0.38 % (18126)Instructions burned: 3 (million) 0.17/0.38 % (18126)------------------------------ 0.17/0.38 % (18126)------------------------------ 0.17/0.38 % (18123)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 E---3.1_18011 for (2399ds/4Mi) 0.17/0.38 % (18123)Instruction limit reached! 0.17/0.38 % (18123)------------------------------ 0.17/0.38 % (18123)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.38 % (18123)Termination reason: Unknown 0.17/0.38 % (18123)Termination phase: Property scanning 0.17/0.38 0.17/0.39 % (18123)Memory used [KB]: 1023 0.17/0.39 % (18123)Time elapsed: 0.005 s 0.17/0.39 % (18123)Instructions burned: 4 (million) 0.17/0.39 % (18123)------------------------------ 0.17/0.39 % (18123)------------------------------ 0.17/0.39 % (18127)Refutation not found, incomplete strategy 0.17/0.39 % (18127)------------------------------ 0.17/0.39 % (18127)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (18127)Termination reason: Refutation not found, incomplete strategy 0.17/0.39 0.17/0.39 0.17/0.39 % (18127)Memory used [KB]: 5628 0.17/0.39 % (18127)Time elapsed: 0.029 s 0.17/0.39 % (18127)Instructions burned: 7 (million) 0.17/0.39 % (18127)------------------------------ 0.17/0.39 % (18127)------------------------------ 0.17/0.39 % (18122)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/183Mi) 0.17/0.39 % (18128)Instruction limit reached! 0.17/0.39 % (18128)------------------------------ 0.17/0.39 % (18128)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.39 % (18128)Termination reason: Unknown 0.17/0.39 % (18128)Termination phase: Saturation 0.17/0.39 0.17/0.39 % (18128)Memory used [KB]: 5756 0.17/0.39 % (18128)Time elapsed: 0.037 s 0.17/0.39 % (18128)Instructions burned: 19 (million) 0.17/0.39 % (18128)------------------------------ 0.17/0.39 % (18128)------------------------------ 0.17/0.40 % (18130)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 E---3.1_18011 for (2399ds/37Mi) 0.17/0.40 % (18129)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/3Mi) 0.17/0.40 % (18129)Instruction limit reached! 0.17/0.40 % (18129)------------------------------ 0.17/0.40 % (18129)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.40 % (18129)Termination reason: Unknown 0.17/0.40 % (18129)Termination phase: Function definition elimination 0.17/0.40 0.17/0.40 % (18129)Memory used [KB]: 1023 0.17/0.40 % (18129)Time elapsed: 0.004 s 0.17/0.40 % (18129)Instructions burned: 4 (million) 0.17/0.40 % (18129)------------------------------ 0.17/0.40 % (18129)------------------------------ 0.17/0.42 % (18124)Instruction limit reached! 0.17/0.42 % (18124)------------------------------ 0.17/0.42 % (18124)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.42 % (18124)Termination reason: Unknown 0.17/0.42 % (18124)Termination phase: Saturation 0.17/0.42 0.17/0.42 % (18124)Memory used [KB]: 5756 0.17/0.42 % (18124)Time elapsed: 0.048 s 0.17/0.42 % (18124)Instructions burned: 28 (million) 0.17/0.42 % (18124)------------------------------ 0.17/0.42 % (18124)------------------------------ 0.17/0.43 % (18132)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/3Mi) 0.17/0.43 % (18132)Instruction limit reached! 0.17/0.43 % (18132)------------------------------ 0.17/0.43 % (18132)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.43 % (18132)Termination reason: Unknown 0.17/0.43 % (18132)Termination phase: Property scanning 0.17/0.43 0.17/0.43 % (18132)Memory used [KB]: 1023 0.17/0.43 % (18132)Time elapsed: 0.005 s 0.17/0.43 % (18132)Instructions burned: 3 (million) 0.17/0.43 % (18132)------------------------------ 0.17/0.43 % (18132)------------------------------ 0.17/0.43 % (18133)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 E---3.1_18011 for (2399ds/1041Mi) 0.17/0.44 % (18130)Instruction limit reached! 0.17/0.44 % (18130)------------------------------ 0.17/0.44 % (18130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.44 % (18130)Termination reason: Unknown 0.17/0.44 % (18130)Termination phase: Saturation 0.17/0.44 0.17/0.44 % (18130)Memory used [KB]: 5756 0.17/0.44 % (18130)Time elapsed: 0.048 s 0.17/0.44 % (18130)Instructions burned: 37 (million) 0.17/0.44 % (18130)------------------------------ 0.17/0.44 % (18130)------------------------------ 0.17/0.44 % (18131)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/15Mi) 0.17/0.45 % (18134)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/7Mi) 0.17/0.45 % (18134)Instruction limit reached! 0.17/0.45 % (18134)------------------------------ 0.17/0.45 % (18134)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.45 % (18134)Termination reason: Unknown 0.17/0.45 % (18134)Termination phase: Saturation 0.17/0.45 0.17/0.45 % (18134)Memory used [KB]: 1023 0.17/0.45 % (18134)Time elapsed: 0.006 s 0.17/0.45 % (18134)Instructions burned: 7 (million) 0.17/0.45 % (18134)------------------------------ 0.17/0.45 % (18134)------------------------------ 0.17/0.46 % (18136)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 E---3.1_18011 for (2399ds/3Mi) 0.17/0.47 % (18136)Instruction limit reached! 0.17/0.47 % (18136)------------------------------ 0.17/0.47 % (18136)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.47 % (18136)Termination reason: Unknown 0.17/0.47 % (18136)Termination phase: Preprocessing 3 0.17/0.47 0.17/0.47 % (18136)Memory used [KB]: 1023 0.17/0.47 % (18136)Time elapsed: 0.004 s 0.17/0.47 % (18136)Instructions burned: 3 (million) 0.17/0.47 % (18136)------------------------------ 0.17/0.47 % (18136)------------------------------ 0.17/0.47 % (18131)Instruction limit reached! 0.17/0.47 % (18131)------------------------------ 0.17/0.47 % (18131)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.47 % (18131)Termination reason: Unknown 0.17/0.47 % (18131)Termination phase: Saturation 0.17/0.47 0.17/0.47 % (18131)Memory used [KB]: 5756 0.17/0.47 % (18131)Time elapsed: 0.062 s 0.17/0.47 % (18131)Instructions burned: 15 (million) 0.17/0.47 % (18131)------------------------------ 0.17/0.47 % (18131)------------------------------ 0.17/0.47 % (18137)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 E---3.1_18011 for (2399ds/3Mi) 0.17/0.47 % (18137)Instruction limit reached! 0.17/0.47 % (18137)------------------------------ 0.17/0.47 % (18137)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.47 % (18137)Termination reason: Unknown 0.17/0.47 % (18137)Termination phase: Preprocessing 3 0.17/0.47 0.17/0.47 % (18137)Memory used [KB]: 1023 0.17/0.47 % (18137)Time elapsed: 0.004 s 0.17/0.47 % (18137)Instructions burned: 3 (million) 0.17/0.47 % (18137)------------------------------ 0.17/0.47 % (18137)------------------------------ 0.17/0.49 % (18135)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/16Mi) 0.17/0.49 % (18138)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_18011 for (2399ds/7Mi) 0.17/0.49 % (18140)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_18011 for (2398ds/4Mi) 0.17/0.49 % (18140)Instruction limit reached! 0.17/0.49 % (18140)------------------------------ 0.17/0.49 % (18140)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.49 % (18140)Termination reason: Unknown 0.17/0.49 % (18140)Termination phase: Property scanning 0.17/0.49 0.17/0.49 % (18140)Memory used [KB]: 1023 0.17/0.49 % (18140)Time elapsed: 0.005 s 0.17/0.49 % (18140)Instructions burned: 5 (million) 0.17/0.49 % (18140)------------------------------ 0.17/0.49 % (18140)------------------------------ 0.17/0.50 % (18138)Instruction limit reached! 0.17/0.50 % (18138)------------------------------ 0.17/0.50 % (18138)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.50 % (18138)Termination reason: Unknown 0.17/0.50 % (18138)Termination phase: Saturation 0.17/0.50 0.17/0.50 % (18138)Memory used [KB]: 5500 0.17/0.50 % (18138)Time elapsed: 0.006 s 0.17/0.50 % (18138)Instructions burned: 7 (million) 0.17/0.50 % (18138)------------------------------ 0.17/0.50 % (18138)------------------------------ 0.17/0.50 % (18139)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_18011 for (2398ds/3Mi) 0.17/0.50 % (18139)Instruction limit reached! 0.17/0.50 % (18139)------------------------------ 0.17/0.50 % (18139)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.50 % (18139)Termination reason: Unknown 0.17/0.50 % (18139)Termination phase: Function definition elimination 0.17/0.50 0.17/0.50 % (18139)Memory used [KB]: 1023 0.17/0.50 % (18139)Time elapsed: 0.004 s 0.17/0.50 % (18139)Instructions burned: 4 (million) 0.17/0.50 % (18139)------------------------------ 0.17/0.50 % (18139)------------------------------ 0.17/0.50 % (18141)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_18011 for (2398ds/18Mi) 0.17/0.51 % (18135)Instruction limit reached! 0.17/0.51 % (18135)------------------------------ 0.17/0.51 % (18135)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.51 % (18135)Termination reason: Unknown 0.17/0.51 % (18135)Termination phase: Saturation 0.17/0.51 0.17/0.51 % (18135)Memory used [KB]: 5884 0.17/0.51 % (18135)Time elapsed: 0.070 s 0.17/0.51 % (18135)Instructions burned: 17 (million) 0.17/0.51 % (18135)------------------------------ 0.17/0.51 % (18135)------------------------------ 0.17/0.51 % (18141)Instruction limit reached! 0.17/0.51 % (18141)------------------------------ 0.17/0.51 % (18141)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.51 % (18141)Termination reason: Unknown 0.17/0.51 % (18141)Termination phase: Saturation 0.17/0.51 0.17/0.51 % (18141)Memory used [KB]: 5628 0.17/0.51 % (18141)Time elapsed: 0.042 s 0.17/0.51 % (18141)Instructions burned: 18 (million) 0.17/0.51 % (18141)------------------------------ 0.17/0.51 % (18141)------------------------------ 0.17/0.54 % (18143)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_18011 for (2398ds/6Mi) 0.17/0.54 % (18144)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on E---3.1_18011 for (2398ds/902Mi) 0.17/0.54 % (18143)Instruction limit reached! 0.17/0.54 % (18143)------------------------------ 0.17/0.54 % (18143)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.54 % (18143)Termination reason: Unknown 0.17/0.54 % (18143)Termination phase: Saturation 0.17/0.54 0.17/0.54 % (18143)Memory used [KB]: 5500 0.17/0.54 % (18143)Time elapsed: 0.006 s 0.17/0.54 % (18143)Instructions burned: 6 (million) 0.17/0.54 % (18143)------------------------------ 0.17/0.54 % (18143)------------------------------ 0.17/0.54 % (18144)Refutation not found, incomplete strategy 0.17/0.54 % (18144)------------------------------ 0.17/0.54 % (18144)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.54 % (18144)Termination reason: Refutation not found, incomplete strategy 0.17/0.54 0.17/0.54 0.17/0.54 % (18144)Memory used [KB]: 5500 0.17/0.54 % (18144)Time elapsed: 0.048 s 0.17/0.54 % (18144)Instructions burned: 5 (million) 0.17/0.54 % (18144)------------------------------ 0.17/0.54 % (18144)------------------------------ 0.17/0.54 % (18146)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_18011 for (2398ds/5Mi) 0.17/0.55 % (18146)Instruction limit reached! 0.17/0.55 % (18146)------------------------------ 0.17/0.55 % (18146)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.55 % (18146)Termination reason: Unknown 0.17/0.55 % (18146)Termination phase: Saturation 0.17/0.55 0.17/0.55 % (18146)Memory used [KB]: 5500 0.17/0.55 % (18146)Time elapsed: 0.005 s 0.17/0.55 % (18146)Instructions burned: 6 (million) 0.17/0.55 % (18146)------------------------------ 0.17/0.55 % (18146)------------------------------ 0.17/0.55 % (18145)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 E---3.1_18011 for (2398ds/21Mi) 0.79/0.57 % (18142)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_18011 for (2398ds/710Mi) 0.79/0.57 % (18145)Instruction limit reached! 0.79/0.57 % (18145)------------------------------ 0.79/0.57 % (18145)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.79/0.57 % (18145)Termination reason: Unknown 0.79/0.57 % (18145)Termination phase: Saturation 0.79/0.57 0.79/0.57 % (18145)Memory used [KB]: 5628 0.79/0.57 % (18145)Time elapsed: 0.058 s 0.79/0.57 % (18145)Instructions burned: 22 (million) 0.79/0.57 % (18145)------------------------------ 0.79/0.57 % (18145)------------------------------ 0.79/0.58 % (18148)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_18011 for (2397ds/377Mi) 0.79/0.58 % (18147)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 E---3.1_18011 for (2398ds/6Mi) 0.86/0.59 % (18149)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=779:si=on:rtra=on_0 on E---3.1_18011 for (2397ds/779Mi) 0.86/0.60 % (18122)Instruction limit reached! 0.86/0.60 % (18122)------------------------------ 0.86/0.60 % (18122)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.86/0.60 % (18122)Termination reason: Unknown 0.86/0.60 % (18122)Termination phase: Saturation 0.86/0.60 0.86/0.60 % (18122)Memory used [KB]: 6524 0.86/0.60 % (18122)Time elapsed: 0.217 s 0.86/0.60 % (18122)Instructions burned: 183 (million) 0.86/0.60 % (18122)------------------------------ 0.86/0.60 % (18122)------------------------------ 0.86/0.60 % (18147)Instruction limit reached! 0.86/0.60 % (18147)------------------------------ 0.86/0.60 % (18147)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.86/0.60 % (18147)Termination reason: Unknown 0.86/0.60 % (18147)Termination phase: Saturation 0.86/0.60 0.86/0.60 % (18147)Memory used [KB]: 5500 0.86/0.60 % (18147)Time elapsed: 0.008 s 0.86/0.60 % (18147)Instructions burned: 6 (million) 0.86/0.60 % (18147)------------------------------ 0.86/0.60 % (18147)------------------------------ 0.86/0.62 % (18151)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_18011 for (2397ds/879Mi) 0.86/0.62 % (18150)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 E---3.1_18011 for (2397ds/19Mi) 0.86/0.62 % (18152)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_18011 for (2397ds/17Mi) 0.86/0.63 % (18152)Instruction limit reached! 0.86/0.63 % (18152)------------------------------ 0.86/0.63 % (18152)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.86/0.63 % (18152)Termination reason: Unknown 0.86/0.63 % (18152)Termination phase: Saturation 0.86/0.63 0.86/0.63 % (18152)Memory used [KB]: 5756 0.86/0.63 % (18152)Time elapsed: 0.012 s 0.86/0.63 % (18152)Instructions burned: 18 (million) 0.86/0.63 % (18152)------------------------------ 0.86/0.63 % (18152)------------------------------ 0.86/0.64 % (18150)Refutation not found, incomplete strategy 0.86/0.64 % (18150)------------------------------ 0.86/0.64 % (18150)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.86/0.64 % (18150)Termination reason: Refutation not found, incomplete strategy 0.86/0.64 0.86/0.64 0.86/0.64 % (18150)Memory used [KB]: 5628 0.86/0.64 % (18150)Time elapsed: 0.034 s 0.86/0.64 % (18150)Instructions burned: 10 (million) 0.86/0.64 % (18150)------------------------------ 0.86/0.64 % (18150)------------------------------ 1.07/0.67 % (18153)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_18011 for (2397ds/3Mi) 1.07/0.67 % (18153)Instruction limit reached! 1.07/0.67 % (18153)------------------------------ 1.07/0.67 % (18153)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.67 % (18153)Termination reason: Unknown 1.07/0.67 % (18153)Termination phase: Property scanning 1.07/0.67 1.07/0.67 % (18153)Memory used [KB]: 1023 1.07/0.67 % (18153)Time elapsed: 0.005 s 1.07/0.67 % (18153)Instructions burned: 4 (million) 1.07/0.67 % (18153)------------------------------ 1.07/0.67 % (18153)------------------------------ 1.07/0.69 % (18154)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_18011 for (2397ds/30Mi) 1.07/0.70 % (18154)Refutation not found, incomplete strategy 1.07/0.70 % (18154)------------------------------ 1.07/0.70 % (18154)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.70 % (18154)Termination reason: Refutation not found, incomplete strategy 1.07/0.70 1.07/0.70 1.07/0.70 % (18154)Memory used [KB]: 5628 1.07/0.70 % (18154)Time elapsed: 0.050 s 1.07/0.70 % (18154)Instructions burned: 13 (million) 1.07/0.70 % (18154)------------------------------ 1.07/0.70 % (18154)------------------------------ 1.21/0.71 % (18155)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_18011 for (2396ds/127Mi) 1.28/0.74 % (18156)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_18011 for (2396ds/100Mi) 1.28/0.78 % (18155)Instruction limit reached! 1.28/0.78 % (18155)------------------------------ 1.28/0.78 % (18155)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.28/0.78 % (18155)Termination reason: Unknown 1.28/0.78 % (18155)Termination phase: Saturation 1.28/0.78 1.28/0.78 % (18155)Memory used [KB]: 5884 1.28/0.78 % (18155)Time elapsed: 0.091 s 1.28/0.78 % (18155)Instructions burned: 127 (million) 1.28/0.78 % (18155)------------------------------ 1.28/0.78 % (18155)------------------------------ 1.28/0.79 % (18157)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_18011 for (2395ds/3Mi) 1.28/0.80 % (18157)Instruction limit reached! 1.28/0.80 % (18157)------------------------------ 1.28/0.80 % (18157)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.28/0.80 % (18157)Termination reason: Unknown 1.28/0.80 % (18157)Termination phase: Function definition elimination 1.28/0.80 1.28/0.80 % (18157)Memory used [KB]: 1023 1.28/0.80 % (18157)Time elapsed: 0.005 s 1.28/0.80 % (18157)Instructions burned: 4 (million) 1.28/0.80 % (18157)------------------------------ 1.28/0.80 % (18157)------------------------------ 1.28/0.81 % (18158)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_18011 for (2395ds/20Mi) 1.28/0.82 % (18158)First to succeed. 1.28/0.83 % (18158)Refutation found. Thanks to Tanya! 1.28/0.83 % SZS status Theorem for E---3.1_18011 1.28/0.83 % SZS output start Proof for E---3.1_18011 1.28/0.83 thf(func_def_0, type, in: $i > $i > $o). 1.28/0.83 thf(func_def_2, type, setadjoin: $i > $i > $i). 1.28/0.83 thf(func_def_3, type, setunion: $i > $i). 1.28/0.83 thf(func_def_4, type, dsetconstr: $i > ($i > $o) > $i). 1.28/0.83 thf(func_def_7, type, iskpair: $i > $o). 1.28/0.83 thf(func_def_8, type, kpair: $i > $i > $i). 1.28/0.83 thf(func_def_10, type, singleton: $i > $o). 1.28/0.83 thf(func_def_12, type, kfst: $i > $i). 1.28/0.83 thf(func_def_15, type, ksnd: $i > $i). 1.28/0.83 thf(func_def_27, type, sK2: $i > $o). 1.28/0.83 thf(func_def_38, type, sP13: $i > $o). 1.28/0.83 thf(func_def_39, type, sP14: $o > $o). 1.28/0.83 thf(func_def_40, type, sP15: $o > $o). 1.28/0.83 thf(func_def_41, type, sP16: $o > $o). 1.28/0.83 thf(func_def_42, type, sP17: $o > $o). 1.28/0.83 thf(func_def_45, type, ph19: !>[X0: $tType]:(X0)). 1.28/0.83 thf(f137,plain,( 1.28/0.83 $false), 1.28/0.83 inference(trivial_inequality_removal,[],[f136])). 1.28/0.83 thf(f136,plain,( 1.28/0.83 ($true = $false)), 1.28/0.83 inference(backward_demodulation,[],[f98,f133])). 1.28/0.83 thf(f133,plain,( 1.28/0.83 ((sP13 @ sK1) = $false)), 1.28/0.83 inference(backward_demodulation,[],[f111,f132])). 1.28/0.83 thf(f132,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (((setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = X1)) )), 1.28/0.83 inference(equality_resolution,[],[f127])). 1.28/0.83 thf(f127,plain,( 1.28/0.83 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((kpair @ X2 @ X3) != (kpair @ X0 @ X1)) | ((setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = X3)) )), 1.28/0.83 inference(superposition,[],[f113,f123])). 1.28/0.83 thf(f123,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (((kpair @ (kfst @ (kpair @ X0 @ X1)) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))) = (kpair @ X0 @ X1))) )), 1.28/0.83 inference(equality_proxy_clausification,[],[f122])). 1.28/0.83 thf(f122,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (($true = ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))) = (kpair @ X0 @ X1)))) )), 1.28/0.83 inference(beta_eta_normalization,[],[f121])). 1.28/0.83 thf(f121,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))) = $true)) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f120])). 1.28/0.83 thf(f120,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))) = $true) | ($true != $true)) )), 1.28/0.83 inference(superposition,[],[f109,f119])). 1.28/0.83 thf(f119,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))))) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f118])). 1.28/0.83 thf(f118,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = (in @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))))) )), 1.28/0.83 inference(superposition,[],[f107,f117])). 1.28/0.83 thf(f117,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (($true = (singleton @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))))) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f116])). 1.28/0.83 thf(f116,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (($true = (singleton @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))) | ($true != $true)) )), 1.28/0.83 inference(superposition,[],[f112,f110])). 1.28/0.83 thf(f110,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X0 @ X1)) = $true)) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f92])). 1.28/0.83 thf(f92,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((iskpair @ (kpair @ X0 @ X1)) = $true)) )), 1.28/0.83 inference(definition_unfolding,[],[f78,f66])). 1.28/0.83 thf(f66,plain,( 1.28/0.83 (kpairp = $true)), 1.28/0.83 inference(cnf_transformation,[],[f40])). 1.28/0.83 thf(f40,plain,( 1.28/0.83 (kpairp = $true) & ((ksnd @ (kpair @ sK0 @ sK1)) != sK1) & (setukpairinjR = $true) & (theprop = $true) & (dsetconstrER = $true) & (ksndsingleton = $true)), 1.28/0.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f39])). 1.28/0.83 thf(f39,plain,( 1.28/0.83 ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1) => ((ksnd @ (kpair @ sK0 @ sK1)) != sK1)), 1.28/0.83 introduced(choice_axiom,[])). 1.28/0.83 thf(f38,plain,( 1.28/0.83 (kpairp = $true) & ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1) & (setukpairinjR = $true) & (theprop = $true) & (dsetconstrER = $true) & (ksndsingleton = $true)), 1.28/0.83 inference(flattening,[],[f37])). 1.28/0.83 thf(f37,plain,( 1.28/0.83 ((((? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (theprop = $true)) & (kpairp = $true)) & (dsetconstrER = $true)), 1.28/0.83 inference(ennf_transformation,[],[f22])). 1.28/0.83 thf(f22,plain,( 1.28/0.83 ~((dsetconstrER = $true) => ((kpairp = $true) => ((theprop = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1))))))), 1.28/0.83 inference(fool_elimination,[],[f21])). 1.28/0.83 thf(f21,plain,( 1.28/0.83 ~(dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1))))))), 1.28/0.83 inference(rectify,[],[f11])). 1.28/0.83 thf(f11,negated_conjecture,( 1.28/0.83 ~(dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) = X3))))))), 1.28/0.83 inference(negated_conjecture,[],[f10])). 1.28/0.83 thf(f10,conjecture,( 1.28/0.83 dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) = X3)))))), 1.28/0.83 file('/export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p',ksndpairEq)). 1.28/0.83 thf(f78,plain,( 1.28/0.83 ( ! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) )), 1.28/0.83 inference(cnf_transformation,[],[f56])). 1.28/0.83 thf(f56,plain,( 1.28/0.83 (! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ((iskpair @ (kpair @ sK10 @ sK11)) != $true))), 1.28/0.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f54,f55])). 1.28/0.83 thf(f55,plain,( 1.28/0.83 ? [X2,X3] : ((iskpair @ (kpair @ X2 @ X3)) != $true) => ((iskpair @ (kpair @ sK10 @ sK11)) != $true)), 1.28/0.83 introduced(choice_axiom,[])). 1.28/0.83 thf(f54,plain,( 1.28/0.83 (! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X2,X3] : ((iskpair @ (kpair @ X2 @ X3)) != $true))), 1.28/0.83 inference(rectify,[],[f53])). 1.28/0.83 thf(f53,plain,( 1.28/0.83 (! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) != $true))), 1.28/0.83 inference(nnf_transformation,[],[f20])). 1.28/0.83 thf(f20,plain,( 1.28/0.83 ! [X0,X1] : ((iskpair @ (kpair @ X0 @ X1)) = $true) <=> (kpairp = $true)), 1.28/0.83 inference(fool_elimination,[],[f19])). 1.28/0.83 thf(f19,plain,( 1.28/0.83 (kpairp = ! [X0,X1] : (iskpair @ (kpair @ X0 @ X1)))), 1.28/0.83 inference(rectify,[],[f4])). 1.28/0.83 thf(f4,axiom,( 1.28/0.83 (kpairp = ! [X2,X3] : (iskpair @ (kpair @ X2 @ X3)))), 1.28/0.83 file('/export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p',kpairp)). 1.28/0.83 thf(f112,plain,( 1.28/0.83 ( ! [X1 : $i] : (((iskpair @ X1) != $true) | ((singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))) = $true)) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f96])). 1.28/0.83 thf(f96,plain,( 1.28/0.83 ( ! [X1 : $i] : (((iskpair @ X1) != $true) | ($true != $true) | ((singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))) = $true)) )), 1.28/0.83 inference(definition_unfolding,[],[f79,f61])). 1.28/0.83 thf(f61,plain,( 1.28/0.83 (ksndsingleton = $true)), 1.28/0.83 inference(cnf_transformation,[],[f40])). 1.28/0.83 thf(f79,plain,( 1.28/0.83 ( ! [X1 : $i] : (((iskpair @ X1) != $true) | ((singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))) = $true) | (ksndsingleton != $true)) )), 1.28/0.83 inference(cnf_transformation,[],[f60])). 1.28/0.83 thf(f60,plain,( 1.28/0.83 ((ksndsingleton = $true) | (($true = (iskpair @ sK12)) & ((singleton @ (dsetconstr @ (setunion @ sK12) @ (^[Y0 : $i]: ((kpair @ (kfst @ sK12) @ Y0) = sK12)))) != $true))) & (! [X1] : (((iskpair @ X1) != $true) | ((singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))) = $true)) | (ksndsingleton != $true))), 1.28/0.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f58,f59])). 1.28/0.83 thf(f59,plain,( 1.28/0.83 ? [X0] : (((iskpair @ X0) = $true) & ($true != (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) => (($true = (iskpair @ sK12)) & ((singleton @ (dsetconstr @ (setunion @ sK12) @ (^[Y0 : $i]: ((kpair @ (kfst @ sK12) @ Y0) = sK12)))) != $true))), 1.28/0.83 introduced(choice_axiom,[])). 1.28/0.83 thf(f58,plain,( 1.28/0.83 ((ksndsingleton = $true) | ? [X0] : (((iskpair @ X0) = $true) & ($true != (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0))))))) & (! [X1] : (((iskpair @ X1) != $true) | ((singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))) = $true)) | (ksndsingleton != $true))), 1.28/0.83 inference(rectify,[],[f57])). 1.28/0.83 thf(f57,plain,( 1.28/0.83 ((ksndsingleton = $true) | ? [X0] : (((iskpair @ X0) = $true) & ($true != (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0))))))) & (! [X0] : (((iskpair @ X0) != $true) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) | (ksndsingleton != $true))), 1.28/0.83 inference(nnf_transformation,[],[f33])). 1.28/0.83 thf(f33,plain,( 1.28/0.83 (ksndsingleton = $true) <=> ! [X0] : (((iskpair @ X0) != $true) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0))))))), 1.28/0.83 inference(ennf_transformation,[],[f32])). 1.28/0.83 thf(f32,plain,( 1.28/0.83 ! [X0] : (((iskpair @ X0) = $true) => ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) <=> (ksndsingleton = $true)), 1.28/0.83 inference(fool_elimination,[],[f31])). 1.28/0.83 thf(f31,plain,( 1.28/0.83 (! [X0] : ((iskpair @ X0) => (singleton @ (dsetconstr @ (setunion @ X0) @ (^[X1 : $i] : (((kpair @ (kfst @ X0) @ X1) = X0)))))) = ksndsingleton)), 1.28/0.83 inference(rectify,[],[f8])). 1.28/0.83 thf(f8,axiom,( 1.28/0.83 (! [X6] : ((iskpair @ X6) => (singleton @ (dsetconstr @ (setunion @ X6) @ (^[X2 : $i] : (((kpair @ (kfst @ X6) @ X2) = X6)))))) = ksndsingleton)), 1.28/0.83 file('/export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p',ksndsingleton)). 1.28/0.83 thf(f107,plain,( 1.28/0.83 ( ! [X0 : $i] : (($true != (singleton @ X0)) | ((in @ (setunion @ X0) @ X0) = $true)) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f86])). 1.28/0.83 thf(f86,plain,( 1.28/0.83 ( ! [X0 : $i] : (((in @ (setunion @ X0) @ X0) = $true) | ($true != $true) | ($true != (singleton @ X0))) )), 1.28/0.83 inference(definition_unfolding,[],[f73,f63])). 1.28/0.83 thf(f63,plain,( 1.28/0.83 (theprop = $true)), 1.28/0.83 inference(cnf_transformation,[],[f40])). 1.28/0.83 thf(f73,plain,( 1.28/0.83 ( ! [X0 : $i] : (($true != (singleton @ X0)) | ((in @ (setunion @ X0) @ X0) = $true) | (theprop != $true)) )), 1.28/0.83 inference(cnf_transformation,[],[f48])). 1.28/0.83 thf(f48,plain,( 1.28/0.83 (! [X0] : (($true != (singleton @ X0)) | ((in @ (setunion @ X0) @ X0) = $true)) | (theprop != $true)) & ((theprop = $true) | (((singleton @ sK5) = $true) & ($true != (in @ (setunion @ sK5) @ sK5))))), 1.28/0.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f46,f47])). 1.28/0.83 thf(f47,plain,( 1.28/0.83 ? [X1] : (($true = (singleton @ X1)) & ((in @ (setunion @ X1) @ X1) != $true)) => (((singleton @ sK5) = $true) & ($true != (in @ (setunion @ sK5) @ sK5)))), 1.28/0.83 introduced(choice_axiom,[])). 1.28/0.83 thf(f46,plain,( 1.28/0.83 (! [X0] : (($true != (singleton @ X0)) | ((in @ (setunion @ X0) @ X0) = $true)) | (theprop != $true)) & ((theprop = $true) | ? [X1] : (($true = (singleton @ X1)) & ((in @ (setunion @ X1) @ X1) != $true)))), 1.28/0.83 inference(rectify,[],[f45])). 1.28/0.83 thf(f45,plain,( 1.28/0.83 (! [X0] : (($true != (singleton @ X0)) | ((in @ (setunion @ X0) @ X0) = $true)) | (theprop != $true)) & ((theprop = $true) | ? [X0] : (($true = (singleton @ X0)) & ((in @ (setunion @ X0) @ X0) != $true)))), 1.28/0.83 inference(nnf_transformation,[],[f34])). 1.28/0.83 thf(f34,plain,( 1.28/0.83 ! [X0] : (($true != (singleton @ X0)) | ((in @ (setunion @ X0) @ X0) = $true)) <=> (theprop = $true)), 1.28/0.83 inference(ennf_transformation,[],[f14])). 1.28/0.83 thf(f14,plain,( 1.28/0.83 (theprop = $true) <=> ! [X0] : (($true = (singleton @ X0)) => ((in @ (setunion @ X0) @ X0) = $true))), 1.28/0.83 inference(fool_elimination,[],[f13])). 1.28/0.83 thf(f13,plain,( 1.28/0.83 (theprop = ! [X0] : ((singleton @ X0) => (in @ (setunion @ X0) @ X0)))), 1.28/0.83 inference(rectify,[],[f6])). 1.28/0.83 thf(f6,axiom,( 1.28/0.83 (theprop = ! [X4] : ((singleton @ X4) => (in @ (setunion @ X4) @ X4)))), 1.28/0.83 file('/export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p',theprop)). 1.28/0.83 thf(f109,plain,( 1.28/0.83 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (dsetconstr @ X4 @ X3))) | ((X3 @ X5) = $true)) )), 1.28/0.83 inference(beta_eta_normalization,[],[f108])). 1.28/0.83 thf(f108,plain,( 1.28/0.83 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | ((X3 @ X5) = $true)) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f85])). 1.28/0.83 thf(f85,plain,( 1.28/0.83 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | ($true != $true) | ((X3 @ X5) = $true)) )), 1.28/0.83 inference(definition_unfolding,[],[f68,f62])). 1.28/0.83 thf(f62,plain,( 1.28/0.83 (dsetconstrER = $true)), 1.28/0.83 inference(cnf_transformation,[],[f40])). 1.28/0.83 thf(f68,plain,( 1.28/0.83 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | ((X3 @ X5) = $true) | (dsetconstrER != $true)) )), 1.28/0.83 inference(cnf_transformation,[],[f44])). 1.28/0.83 thf(f44,plain,( 1.28/0.83 ((dsetconstrER = $true) | (((in @ sK4 @ (dsetconstr @ sK3 @ (^[Y0 : $i]: (sK2 @ Y0)))) = $true) & ($true != (sK2 @ sK4)))) & (! [X3 : $i > $o,X4,X5] : (((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | ((X3 @ X5) = $true)) | (dsetconstrER != $true))), 1.28/0.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f42,f43])). 1.28/0.83 thf(f43,plain,( 1.28/0.83 ? [X0 : $i > $o,X1,X2] : (($true = (in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))) & ((X0 @ X2) != $true)) => (((in @ sK4 @ (dsetconstr @ sK3 @ (^[Y0 : $i]: (sK2 @ Y0)))) = $true) & ($true != (sK2 @ sK4)))), 1.28/0.83 introduced(choice_axiom,[])). 1.28/0.83 thf(f42,plain,( 1.28/0.83 ((dsetconstrER = $true) | ? [X0 : $i > $o,X1,X2] : (($true = (in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))) & ((X0 @ X2) != $true))) & (! [X3 : $i > $o,X4,X5] : (((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | ((X3 @ X5) = $true)) | (dsetconstrER != $true))), 1.28/0.83 inference(rectify,[],[f41])). 1.28/0.83 thf(f41,plain,( 1.28/0.83 ((dsetconstrER = $true) | ? [X0 : $i > $o,X1,X2] : (($true = (in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))) & ((X0 @ X2) != $true))) & (! [X0 : $i > $o,X1,X2] : (($true != (in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))) | ((X0 @ X2) = $true)) | (dsetconstrER != $true))), 1.28/0.83 inference(nnf_transformation,[],[f36])). 1.28/0.83 thf(f36,plain,( 1.28/0.83 (dsetconstrER = $true) <=> ! [X0 : $i > $o,X1,X2] : (($true != (in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))) | ((X0 @ X2) = $true))), 1.28/0.83 inference(ennf_transformation,[],[f18])). 1.28/0.83 thf(f18,plain,( 1.28/0.83 (dsetconstrER = $true) <=> ! [X0 : $i > $o,X1,X2] : (($true = (in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0))))) => ((X0 @ X2) = $true))), 1.28/0.83 inference(fool_elimination,[],[f17])). 1.28/0.83 thf(f17,plain,( 1.28/0.83 (dsetconstrER = ! [X0 : $i > $o,X1,X2] : ((in @ X2 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X0 @ X3)))) => (X0 @ X2)))), 1.28/0.83 inference(rectify,[],[f1])). 1.28/0.83 thf(f1,axiom,( 1.28/0.83 (dsetconstrER = ! [X1 : $i > $o,X0,X2] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X2)))), 1.28/0.83 file('/export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p',dsetconstrER)). 1.28/0.83 thf(f113,plain,( 1.28/0.83 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((kpair @ X7 @ X6) != (kpair @ X4 @ X5)) | (X5 = X6)) )), 1.28/0.83 inference(trivial_inequality_removal,[],[f91])). 1.28/0.83 thf(f91,plain,( 1.28/0.83 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true != $true) | ((kpair @ X7 @ X6) != (kpair @ X4 @ X5)) | (X5 = X6)) )), 1.28/0.83 inference(definition_unfolding,[],[f74,f64])). 1.28/0.83 thf(f64,plain,( 1.28/0.83 (setukpairinjR = $true)), 1.28/0.83 inference(cnf_transformation,[],[f40])). 1.28/0.83 thf(f74,plain,( 1.28/0.83 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((X5 = X6) | ((kpair @ X7 @ X6) != (kpair @ X4 @ X5)) | (setukpairinjR != $true)) )), 1.28/0.83 inference(cnf_transformation,[],[f52])). 1.28/0.83 thf(f52,plain,( 1.28/0.83 ((setukpairinjR = $true) | ((sK8 != sK7) & ((kpair @ sK9 @ sK8) = (kpair @ sK6 @ sK7)))) & (! [X4,X5,X6,X7] : ((X5 = X6) | ((kpair @ X7 @ X6) != (kpair @ X4 @ X5))) | (setukpairinjR != $true))), 1.28/0.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f50,f51])). 1.28/0.83 thf(f51,plain,( 1.28/0.83 ? [X0,X1,X2,X3] : ((X1 != X2) & ((kpair @ X3 @ X2) = (kpair @ X0 @ X1))) => ((sK8 != sK7) & ((kpair @ sK9 @ sK8) = (kpair @ sK6 @ sK7)))), 1.28/0.83 introduced(choice_axiom,[])). 1.28/0.83 thf(f50,plain,( 1.28/0.83 ((setukpairinjR = $true) | ? [X0,X1,X2,X3] : ((X1 != X2) & ((kpair @ X3 @ X2) = (kpair @ X0 @ X1)))) & (! [X4,X5,X6,X7] : ((X5 = X6) | ((kpair @ X7 @ X6) != (kpair @ X4 @ X5))) | (setukpairinjR != $true))), 1.28/0.83 inference(rectify,[],[f49])). 1.28/0.83 thf(f49,plain,( 1.28/0.83 ((setukpairinjR = $true) | ? [X0,X1,X2,X3] : ((X1 != X2) & ((kpair @ X3 @ X2) = (kpair @ X0 @ X1)))) & (! [X0,X1,X2,X3] : ((X1 = X2) | ((kpair @ X3 @ X2) != (kpair @ X0 @ X1))) | (setukpairinjR != $true))), 1.28/0.83 inference(nnf_transformation,[],[f35])). 1.28/0.83 thf(f35,plain,( 1.28/0.83 (setukpairinjR = $true) <=> ! [X0,X1,X2,X3] : ((X1 = X2) | ((kpair @ X3 @ X2) != (kpair @ X0 @ X1)))), 1.28/0.83 inference(ennf_transformation,[],[f30])). 1.28/0.83 thf(f30,plain,( 1.28/0.83 ! [X0,X1,X2,X3] : (((kpair @ X3 @ X2) = (kpair @ X0 @ X1)) => (X1 = X2)) <=> (setukpairinjR = $true)), 1.28/0.83 inference(fool_elimination,[],[f29])). 1.28/0.83 thf(f29,plain,( 1.28/0.83 (setukpairinjR = ! [X0,X1,X2,X3] : (((kpair @ X3 @ X2) = (kpair @ X0 @ X1)) => (X1 = X2)))), 1.28/0.83 inference(rectify,[],[f7])). 1.28/0.83 thf(f7,axiom,( 1.28/0.83 (setukpairinjR = ! [X5,X6,X3,X2] : (((kpair @ X2 @ X3) = (kpair @ X5 @ X6)) => (X3 = X6)))), 1.28/0.83 file('/export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p',setukpairinjR)). 1.28/0.83 thf(f111,plain,( 1.28/0.83 ((sP13 @ (setunion @ (dsetconstr @ (setunion @ (kpair @ sK0 @ sK1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ sK0 @ sK1)) @ Y0) = (kpair @ sK0 @ sK1)))))) = $false)), 1.28/0.83 inference(beta_eta_normalization,[],[f97])). 1.28/0.83 thf(f97,plain,( 1.28/0.83 ((sP13 @ ((^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))) @ (kpair @ sK0 @ sK1))) = $false)), 1.28/0.83 introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP13])])). 1.28/0.83 thf(f98,plain,( 1.28/0.83 ($true = (sP13 @ sK1))), 1.28/0.83 inference(inequality_splitting,[],[f82,f97])). 1.28/0.83 thf(f82,plain,( 1.28/0.83 (((^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))) @ (kpair @ sK0 @ sK1)) != sK1)), 1.28/0.83 inference(definition_unfolding,[],[f65,f67])). 1.28/0.83 thf(f67,plain,( 1.28/0.83 (ksnd = (^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))))), 1.28/0.83 inference(cnf_transformation,[],[f28])). 1.28/0.83 thf(f28,plain,( 1.28/0.83 (ksnd = (^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))))), 1.28/0.83 inference(fool_elimination,[],[f27])). 1.28/0.83 thf(f27,plain,( 1.28/0.83 (ksnd = (^[X0 : $i] : (setunion @ (dsetconstr @ (setunion @ X0) @ (^[X1 : $i] : (((kpair @ (kfst @ X0) @ X1) = X0)))))))), 1.28/0.83 inference(rectify,[],[f9])). 1.28/0.83 thf(f9,axiom,( 1.28/0.83 (ksnd = (^[X6 : $i] : (setunion @ (dsetconstr @ (setunion @ X6) @ (^[X2 : $i] : (((kpair @ (kfst @ X6) @ X2) = X6)))))))), 1.28/0.83 file('/export/starexec/sandbox/tmp/tmp.09GB90HmIi/E---3.1_18011.p',ksnd)). 1.28/0.83 thf(f65,plain,( 1.28/0.83 ((ksnd @ (kpair @ sK0 @ sK1)) != sK1)), 1.28/0.83 inference(cnf_transformation,[],[f40])). 1.28/0.83 % SZS output end Proof for E---3.1_18011 1.28/0.83 % (18158)------------------------------ 1.28/0.83 % (18158)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.28/0.83 % (18158)Termination reason: Refutation 1.28/0.83 1.28/0.83 % (18158)Memory used [KB]: 5628 1.28/0.83 % (18158)Time elapsed: 0.017 s 1.28/0.83 % (18158)Instructions burned: 16 (million) 1.28/0.83 % (18158)------------------------------ 1.28/0.83 % (18158)------------------------------ 1.28/0.83 % (18121)Success in time 0.478 s 1.28/0.83 EOF