0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire %s %d THM 0.17/0.44 % Computer : n021.cluster.edu 0.17/0.44 % Model : x86_64 x86_64 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.44 % Memory : 8046.5625MB 0.17/0.44 % OS : Linux 6.8.0-71-generic 0.17/0.44 % CPULimit : 1440 0.17/0.44 % WCLimit : 180 0.17/0.44 % DateTime : Mon Jul 27 10:20:23 UTC 2026 0.17/0.45 % CPUTime : 0.17/0.49 This is a THF_ problem 0.17/0.50 Running higher-order theorem proving 0.26/0.53 Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p -m 16384 -t 180 0.26/0.56 % (656897)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_656849 for (1799ds/2Mi) 0.26/0.56 % (656897)Instruction limit reached! 0.26/0.56 % (656897)------------------------------ 0.26/0.56 % (656897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.56 % (656897)Termination reason: Unknown 0.26/0.56 % (656897)Termination phase: shuffling 0.26/0.56 0.26/0.56 % (656897)Memory used [KB]: 1023 0.26/0.56 % (656897)Time elapsed: 0.003 s 0.26/0.56 % (656897)Instructions burned: 3 (million) 0.26/0.56 % (656897)------------------------------ 0.26/0.56 % (656897)------------------------------ 0.26/0.58 % (656894)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_656849 for (1799ds/4Mi) 0.26/0.58 % (656893)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_656849 for (1799ds/183Mi) 0.26/0.58 % (656895)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_656849 for (1799ds/27Mi) 0.26/0.58 % (656896)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_656849 for (1799ds/2Mi) 0.26/0.58 % (656898)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_656849 for (1799ds/275Mi) 0.26/0.58 % (656896)Instruction limit reached! 0.26/0.58 % (656896)------------------------------ 0.26/0.58 % (656896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.58 % (656896)Termination reason: Unknown 0.26/0.58 % (656896)Termination phase: shuffling 0.26/0.58 0.26/0.58 % (656896)Memory used [KB]: 1023 0.26/0.58 % (656896)Time elapsed: 0.005 s 0.26/0.58 % (656896)Instructions burned: 2 (million) 0.26/0.58 % (656896)------------------------------ 0.26/0.58 % (656896)------------------------------ 0.26/0.58 % (656894)Instruction limit reached! 0.26/0.58 % (656894)------------------------------ 0.26/0.58 % (656894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.58 % (656894)Termination reason: Unknown 0.26/0.58 % (656894)Termination phase: shuffling 0.26/0.58 0.26/0.58 % (656894)Memory used [KB]: 1151 0.26/0.58 % (656894)Time elapsed: 0.007 s 0.26/0.58 % (656894)Instructions burned: 5 (million) 0.26/0.58 % (656894)------------------------------ 0.26/0.58 % (656894)------------------------------ 0.26/0.58 % (656900)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_656849 for (1799ds/3Mi) 0.26/0.58 % (656900)Instruction limit reached! 0.26/0.58 % (656900)------------------------------ 0.26/0.58 % (656900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.58 % (656900)Termination reason: Unknown 0.26/0.58 % (656900)Termination phase: shuffling 0.26/0.58 0.26/0.58 % (656900)Memory used [KB]: 1023 0.26/0.58 % (656900)Time elapsed: 0.003 s 0.26/0.58 % (656900)Instructions burned: 4 (million) 0.26/0.58 % (656900)------------------------------ 0.26/0.58 % (656900)------------------------------ 0.26/0.59 % (656898)Refutation not found, incomplete strategy 0.26/0.59 % (656898)------------------------------ 0.26/0.59 % (656898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.59 % (656898)Termination reason: Refutation not found, incomplete strategy 0.26/0.59 0.26/0.59 0.26/0.59 % (656898)Memory used [KB]: 5628 0.26/0.59 % (656898)Time elapsed: 0.015 s 0.26/0.59 % (656898)Instructions burned: 14 (million) 0.26/0.59 % (656898)------------------------------ 0.26/0.59 % (656898)------------------------------ 0.26/0.60 % (656903)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_656849 for (1799ds/3Mi) 0.26/0.60 % (656895)Instruction limit reached! 0.26/0.60 % (656895)------------------------------ 0.26/0.60 % (656895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.60 % (656895)Termination reason: Unknown 0.26/0.60 % (656895)Termination phase: Saturation 0.26/0.60 0.26/0.60 % (656895)Memory used [KB]: 5756 0.26/0.60 % (656895)Time elapsed: 0.026 s 0.26/0.60 % (656895)Instructions burned: 27 (million) 0.26/0.60 % (656895)------------------------------ 0.26/0.60 % (656895)------------------------------ 0.26/0.60 % (656903)Instruction limit reached! 0.26/0.60 % (656903)------------------------------ 0.26/0.60 % (656903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.60 % (656903)Termination reason: Unknown 0.26/0.60 % (656903)Termination phase: shuffling 0.26/0.60 0.26/0.60 % (656903)Memory used [KB]: 1023 0.26/0.60 % (656903)Time elapsed: 0.003 s 0.26/0.60 % (656903)Instructions burned: 3 (million) 0.26/0.60 % (656903)------------------------------ 0.26/0.60 % (656903)------------------------------ 0.26/0.60 % (656899)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_656849 for (1799ds/18Mi) 0.26/0.61 % (656901)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_656849 for (1799ds/37Mi) 0.26/0.61 % (656902)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_656849 for (1799ds/15Mi) 0.26/0.61 % (656905)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_656849 for (1799ds/7Mi) 0.26/0.62 % (656905)Instruction limit reached! 0.26/0.62 % (656905)------------------------------ 0.26/0.62 % (656905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.62 % (656905)Termination reason: Unknown 0.26/0.62 % (656905)Termination phase: Property scanning 0.26/0.62 0.26/0.62 % (656905)Memory used [KB]: 1151 0.26/0.62 % (656905)Time elapsed: 0.005 s 0.26/0.62 % (656905)Instructions burned: 7 (million) 0.26/0.62 % (656905)------------------------------ 0.26/0.62 % (656905)------------------------------ 0.26/0.62 % (656904)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_656849 for (1799ds/1041Mi) 0.26/0.62 % (656902)Instruction limit reached! 0.26/0.62 % (656902)------------------------------ 0.26/0.62 % (656902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.62 % (656902)Termination reason: Unknown 0.26/0.62 % (656902)Termination phase: Property scanning 0.26/0.62 0.26/0.62 % (656902)Memory used [KB]: 1151 0.26/0.62 % (656902)Time elapsed: 0.015 s 0.26/0.62 % (656902)Instructions burned: 16 (million) 0.26/0.62 % (656902)------------------------------ 0.26/0.62 % (656902)------------------------------ 0.26/0.63 % (656906)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_656849 for (1799ds/16Mi) 0.26/0.63 % (656899)Instruction limit reached! 0.26/0.63 % (656899)------------------------------ 0.26/0.63 % (656899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.63 % (656899)Termination reason: Unknown 0.26/0.63 % (656899)Termination phase: Property scanning 0.26/0.63 0.26/0.63 % (656899)Memory used [KB]: 1151 0.26/0.63 % (656899)Time elapsed: 0.019 s 0.26/0.63 % (656899)Instructions burned: 19 (million) 0.26/0.63 % (656899)------------------------------ 0.26/0.63 % (656899)------------------------------ 0.26/0.63 % (656907)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_656849 for (1799ds/3Mi) 0.26/0.64 % (656907)Instruction limit reached! 0.26/0.64 % (656907)------------------------------ 0.26/0.64 % (656907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.64 % (656907)Termination reason: Unknown 0.26/0.64 % (656907)Termination phase: shuffling 0.26/0.64 0.26/0.64 % (656907)Memory used [KB]: 1023 0.26/0.64 % (656907)Time elapsed: 0.003 s 0.26/0.64 % (656907)Instructions burned: 3 (million) 0.26/0.64 % (656907)------------------------------ 0.26/0.64 % (656907)------------------------------ 0.26/0.64 % (656901)Instruction limit reached! 0.26/0.64 % (656901)------------------------------ 0.26/0.64 % (656901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.64 % (656901)Termination reason: Unknown 0.26/0.64 % (656901)Termination phase: Saturation 0.26/0.64 0.26/0.64 % (656901)Memory used [KB]: 5884 0.26/0.64 % (656901)Time elapsed: 0.034 s 0.26/0.64 % (656901)Instructions burned: 37 (million) 0.26/0.64 % (656901)------------------------------ 0.26/0.64 % (656901)------------------------------ 0.26/0.64 % (656906)Instruction limit reached! 0.26/0.64 % (656906)------------------------------ 0.26/0.64 % (656906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.64 % (656906)Termination reason: Unknown 0.26/0.64 % (656906)Termination phase: Property scanning 0.26/0.64 0.26/0.64 % (656906)Memory used [KB]: 1151 0.26/0.64 % (656906)Time elapsed: 0.017 s 0.26/0.64 % (656906)Instructions burned: 16 (million) 0.26/0.64 % (656906)------------------------------ 0.26/0.64 % (656906)------------------------------ 0.81/0.65 % (656908)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_656849 for (1799ds/3Mi) 0.81/0.65 % (656908)Instruction limit reached! 0.81/0.65 % (656908)------------------------------ 0.81/0.65 % (656908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.65 % (656908)Termination reason: Unknown 0.81/0.65 % (656908)Termination phase: shuffling 0.81/0.65 0.81/0.65 % (656908)Memory used [KB]: 1023 0.81/0.65 % (656908)Time elapsed: 0.006 s 0.81/0.65 % (656908)Instructions burned: 3 (million) 0.81/0.65 % (656908)------------------------------ 0.81/0.65 % (656908)------------------------------ 0.81/0.65 % (656910)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_656849 for (1799ds/3Mi) 0.81/0.65 % (656910)Instruction limit reached! 0.81/0.65 % (656910)------------------------------ 0.81/0.65 % (656910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.65 % (656910)Termination reason: Unknown 0.81/0.65 % (656910)Termination phase: shuffling 0.81/0.65 0.81/0.65 % (656910)Memory used [KB]: 1023 0.81/0.65 % (656910)Time elapsed: 0.003 s 0.81/0.65 % (656910)Instructions burned: 3 (million) 0.81/0.65 % (656910)------------------------------ 0.81/0.65 % (656910)------------------------------ 0.81/0.66 % (656909)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_656849 for (1799ds/7Mi) 0.81/0.67 % (656911)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_656849 for (1799ds/4Mi) 0.81/0.67 % (656914)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_656849 for (1798ds/6Mi) 0.81/0.67 % (656909)Instruction limit reached! 0.81/0.67 % (656909)------------------------------ 0.81/0.67 % (656909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.67 % (656909)Termination reason: Unknown 0.81/0.67 % (656909)Termination phase: Property scanning 0.81/0.67 0.81/0.67 % (656909)Memory used [KB]: 1151 0.81/0.67 % (656909)Time elapsed: 0.009 s 0.81/0.67 % (656909)Instructions burned: 7 (million) 0.81/0.67 % (656909)------------------------------ 0.81/0.67 % (656909)------------------------------ 0.81/0.67 % (656911)Instruction limit reached! 0.81/0.67 % (656911)------------------------------ 0.81/0.67 % (656911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.67 % (656911)Termination reason: Unknown 0.81/0.67 % (656911)Termination phase: shuffling 0.81/0.67 0.81/0.67 % (656911)Memory used [KB]: 1023 0.81/0.67 % (656911)Time elapsed: 0.006 s 0.81/0.67 % (656911)Instructions burned: 4 (million) 0.81/0.67 % (656911)------------------------------ 0.81/0.67 % (656911)------------------------------ 0.81/0.67 % (656912)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_656849 for (1799ds/18Mi) 0.81/0.67 % (656914)Instruction limit reached! 0.81/0.67 % (656914)------------------------------ 0.81/0.67 % (656914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.67 % (656914)Termination reason: Unknown 0.81/0.67 % (656914)Termination phase: shuffling 0.81/0.67 0.81/0.67 % (656914)Memory used [KB]: 1151 0.81/0.67 % (656914)Time elapsed: 0.004 s 0.81/0.67 % (656914)Instructions burned: 6 (million) 0.81/0.67 % (656914)------------------------------ 0.81/0.67 % (656914)------------------------------ 0.81/0.68 % (656913)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_656849 for (1798ds/710Mi) 0.81/0.69 % (656912)Instruction limit reached! 0.81/0.69 % (656912)------------------------------ 0.81/0.69 % (656912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.69 % (656912)Termination reason: Unknown 0.81/0.69 % (656912)Termination phase: Saturation 0.81/0.69 0.81/0.69 % (656912)Memory used [KB]: 5628 0.81/0.69 % (656912)Time elapsed: 0.018 s 0.81/0.69 % (656912)Instructions burned: 18 (million) 0.81/0.69 % (656912)------------------------------ 0.81/0.69 % (656912)------------------------------ 0.81/0.69 % (656917)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_656849 for (1798ds/5Mi) 0.81/0.69 % (656917)Instruction limit reached! 0.81/0.69 % (656917)------------------------------ 0.81/0.69 % (656917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.81/0.69 % (656917)Termination reason: Unknown 0.81/0.69 % (656917)Termination phase: Property scanning 0.81/0.69 0.81/0.69 % (656917)Memory used [KB]: 1151 0.81/0.69 % (656917)Time elapsed: 0.004 s 0.81/0.69 % (656917)Instructions burned: 6 (million) 0.81/0.69 % (656917)------------------------------ 0.81/0.69 % (656917)------------------------------ 1.06/0.70 % (656915)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_656849 for (1798ds/902Mi) 1.06/0.70 % (656916)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_656849 for (1798ds/21Mi) 1.06/0.70 % (656913)Refutation not found, incomplete strategy 1.06/0.70 % (656913)------------------------------ 1.06/0.70 % (656913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.70 % (656913)Termination reason: Refutation not found, incomplete strategy 1.06/0.70 1.06/0.70 1.06/0.70 % (656913)Memory used [KB]: 5756 1.06/0.70 % (656913)Time elapsed: 0.021 s 1.06/0.70 % (656913)Instructions burned: 19 (million) 1.06/0.70 % (656913)------------------------------ 1.06/0.70 % (656913)------------------------------ 1.06/0.71 % (656919)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_656849 for (1798ds/377Mi) 1.06/0.71 % (656915)Refutation not found, incomplete strategy 1.06/0.71 % (656915)------------------------------ 1.06/0.71 % (656915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.71 % (656915)Termination reason: Refutation not found, incomplete strategy 1.06/0.71 1.06/0.71 1.06/0.71 % (656915)Memory used [KB]: 5628 1.06/0.71 % (656915)Time elapsed: 0.017 s 1.06/0.71 % (656915)Instructions burned: 17 (million) 1.06/0.71 % (656915)------------------------------ 1.06/0.71 % (656915)------------------------------ 1.06/0.72 % (656916)Instruction limit reached! 1.06/0.72 % (656916)------------------------------ 1.06/0.72 % (656916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.72 % (656916)Termination reason: Unknown 1.06/0.72 % (656916)Termination phase: Property scanning 1.06/0.72 1.06/0.72 % (656916)Memory used [KB]: 1151 1.06/0.72 % (656916)Time elapsed: 0.020 s 1.06/0.72 % (656916)Instructions burned: 21 (million) 1.06/0.72 % (656916)------------------------------ 1.06/0.72 % (656916)------------------------------ 1.06/0.72 % (656918)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_656849 for (1798ds/6Mi) 1.06/0.72 % (656918)Instruction limit reached! 1.06/0.72 % (656918)------------------------------ 1.06/0.72 % (656918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.72 % (656918)Termination reason: Unknown 1.06/0.72 % (656918)Termination phase: Property scanning 1.06/0.72 1.06/0.72 % (656918)Memory used [KB]: 1151 1.06/0.72 % (656918)Time elapsed: 0.009 s 1.06/0.72 % (656918)Instructions burned: 6 (million) 1.06/0.72 % (656918)------------------------------ 1.06/0.72 % (656918)------------------------------ 1.06/0.73 % (656920)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_656849 for (1798ds/779Mi) 1.06/0.75 % (656921)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_656849 for (1798ds/19Mi) 1.06/0.75 % (656922)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_656849 for (1798ds/879Mi) 1.06/0.75 % (656893)Instruction limit reached! 1.06/0.75 % (656893)------------------------------ 1.06/0.75 % (656893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.75 % (656893)Termination reason: Unknown 1.06/0.75 % (656893)Termination phase: Saturation 1.06/0.75 1.06/0.75 % (656893)Memory used [KB]: 6652 1.06/0.75 % (656893)Time elapsed: 0.175 s 1.06/0.75 % (656893)Instructions burned: 183 (million) 1.06/0.75 % (656893)------------------------------ 1.06/0.75 % (656893)------------------------------ 1.06/0.75 % (656923)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_656849 for (1798ds/17Mi) 1.06/0.76 % (656921)Refutation not found, incomplete strategy 1.06/0.76 % (656921)------------------------------ 1.06/0.76 % (656921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.76 % (656921)Termination reason: Refutation not found, incomplete strategy 1.06/0.76 1.06/0.76 1.06/0.76 % (656921)Memory used [KB]: 5756 1.06/0.76 % (656921)Time elapsed: 0.019 s 1.06/0.76 % (656921)Instructions burned: 17 (million) 1.06/0.76 % (656921)------------------------------ 1.06/0.76 % (656921)------------------------------ 1.06/0.77 % (656923)Instruction limit reached! 1.06/0.77 % (656923)------------------------------ 1.06/0.77 % (656923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.77 % (656923)Termination reason: Unknown 1.06/0.77 % (656923)Termination phase: Property scanning 1.06/0.77 1.06/0.77 % (656923)Memory used [KB]: 1151 1.06/0.77 % (656923)Time elapsed: 0.017 s 1.06/0.77 % (656923)Instructions burned: 18 (million) 1.06/0.77 % (656923)------------------------------ 1.06/0.77 % (656923)------------------------------ 1.06/0.78 % (656924)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_656849 for (1797ds/3Mi) 1.06/0.78 % (656924)Instruction limit reached! 1.06/0.78 % (656924)------------------------------ 1.06/0.78 % (656924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.06/0.78 % (656924)Termination reason: Unknown 1.06/0.78 % (656924)Termination phase: shuffling 1.06/0.78 1.06/0.78 % (656924)Memory used [KB]: 1023 1.06/0.78 % (656924)Time elapsed: 0.005 s 1.06/0.78 % (656924)Instructions burned: 3 (million) 1.06/0.78 % (656924)------------------------------ 1.06/0.78 % (656924)------------------------------ 1.06/0.79 % (656925)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_656849 for (1797ds/30Mi) 1.06/0.80 % (656926)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_656849 for (1797ds/127Mi) 1.42/0.80 % (656920)First to succeed. 1.42/0.81 % (656920)Refutation found. Thanks to Tanya! 1.42/0.81 % SZS status Theorem for E---3.1_656849 1.42/0.81 % SZS output start Proof for E---3.1_656849 1.42/0.81 thf(type_def_5, type, mu: $tType). 1.42/0.81 thf(func_def_0, type, mu: $tType). 1.42/0.81 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 1.42/0.81 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 1.42/0.81 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 1.42/0.81 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 1.42/0.81 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 1.42/0.81 thf(func_def_15, type, mtrue: $i > $o). 1.42/0.81 thf(func_def_16, type, mfalse: $i > $o). 1.42/0.81 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 1.42/0.81 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_29, type, mvalid: ($i > $o) > $o). 1.42/0.81 thf(func_def_30, type, minvalid: ($i > $o) > $o). 1.42/0.81 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 1.42/0.81 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 1.42/0.81 thf(func_def_33, type, a1: $i > $i > $o). 1.42/0.81 thf(func_def_34, type, a2: $i > $i > $o). 1.42/0.81 thf(func_def_35, type, a3: $i > $i > $o). 1.42/0.81 thf(func_def_36, type, jan: mu). 1.42/0.81 thf(func_def_37, type, piotr: mu). 1.42/0.81 thf(func_def_38, type, cola: mu). 1.42/0.81 thf(func_def_39, type, pepsi: mu). 1.42/0.81 thf(func_def_40, type, beer: mu). 1.42/0.81 thf(func_def_41, type, likes: mu > mu > $i > $o). 1.42/0.81 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o). 1.42/0.81 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o). 1.42/0.81 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o). 1.42/0.81 thf(func_def_62, type, sK1: $i > $i). 1.42/0.81 thf(func_def_63, type, sK2: $i > $i). 1.42/0.81 thf(func_def_65, type, sK4: mu > $i > mu > $i). 1.42/0.81 thf(func_def_66, type, sK5: $i > $i). 1.42/0.81 thf(func_def_67, type, sK6: $i > $i). 1.42/0.81 thf(func_def_68, type, sK7: mu > mu > $i > $i). 1.42/0.81 thf(func_def_69, type, sK8: mu > mu > $i > $i). 1.42/0.81 thf(func_def_70, type, sK9: $i > $i). 1.42/0.81 thf(f632,plain,( 1.42/0.81 $false), 1.42/0.81 inference(trivial_inequality_removal,[status(thm)],[f630])). 1.42/0.81 thf(f630,plain,( 1.42/0.81 ($true = $false)), 1.42/0.81 inference(superposition,[status(thm)],[f613,f344])). 1.42/0.81 thf(f344,plain,( 1.42/0.81 ( ! [X1 : $i] : (((a3 @ X1 @ (sK2 @ X1)) = $true)) )), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f342])). 1.42/0.81 thf(f342,plain,( 1.42/0.81 ( ! [X1 : $i] : (((~ (a3 @ X1 @ (sK2 @ X1))) = $false)) )), 1.42/0.81 inference(binary_proxy_clausification,[status(thm)],[f340])). 1.42/0.81 thf(f340,plain,( 1.42/0.81 ( ! [X1 : $i] : ((((~ (a3 @ X1 @ (sK2 @ X1))) | (~ (likes @ piotr @ pepsi @ (sK2 @ X1)))) = $false)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f339])). 1.42/0.81 thf(f339,plain,( 1.42/0.81 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ piotr @ pepsi @ Y0)))) @ (sK2 @ X1)) = $false)) )), 1.42/0.81 inference(sigma_clausification,[status(thm)],[f338])). 1.42/0.81 thf(f338,plain,( 1.42/0.81 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ piotr @ pepsi @ Y0))))) = $false)) )), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f337])). 1.42/0.81 thf(f337,plain,( 1.42/0.81 ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ piotr @ pepsi @ Y0)))))) = $true)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f336])). 1.42/0.81 thf(f336,plain,( 1.42/0.81 ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ Y0 @ Y1)) | (~ (likes @ piotr @ pepsi @ Y1))))))) @ X1) = $true)) )), 1.42/0.81 inference(pi_clausification,[status(thm)],[f317])). 1.42/0.81 thf(f317,plain,( 1.42/0.81 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ Y0 @ Y1)) | (~ (likes @ piotr @ pepsi @ Y1)))))))) = $true)), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f283])). 1.42/0.81 thf(f283,plain,( 1.42/0.81 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ a3 @ (likes @ piotr @ pepsi))) = $true)), 1.42/0.81 inference(definition_unfolding,[status(thm)],[f243,f252,f273])). 1.42/0.81 thf(f273,plain,( 1.42/0.81 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))), 1.42/0.81 inference(definition_unfolding,[status(thm)],[f253,f266,f231,f266])). 1.42/0.81 thf(f231,plain,( 1.42/0.81 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f81])). 1.42/0.81 thf(f81,plain,( 1.42/0.81 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f80])). 1.42/0.81 thf(f80,plain,( 1.42/0.81 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3 : $i] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))), 1.42/0.81 inference(rectify,[status(thm)],[f16])). 1.42/0.81 thf(f16,axiom,( 1.42/0.81 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7 : $i] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mbox)). 1.42/0.81 thf(f266,plain,( 1.42/0.81 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f93])). 1.42/0.81 thf(f93,plain,( 1.42/0.81 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f92])). 1.42/0.81 thf(f92,plain,( 1.42/0.81 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))), 1.42/0.81 inference(rectify,[status(thm)],[f3])). 1.42/0.81 thf(f3,axiom,( 1.42/0.81 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mnot)). 1.42/0.81 thf(f253,plain,( 1.42/0.81 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f152])). 1.42/0.81 thf(f152,plain,( 1.42/0.81 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f151])). 1.42/0.81 thf(f151,plain,( 1.42/0.81 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)), 1.42/0.81 inference(rectify,[status(thm)],[f17])). 1.42/0.81 thf(f17,axiom,( 1.42/0.81 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mdia)). 1.42/0.81 thf(f252,plain,( 1.42/0.81 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f107])). 1.42/0.81 thf(f107,plain,( 1.42/0.81 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f106])). 1.42/0.81 thf(f106,plain,( 1.42/0.81 (mvalid = (^[X0 : $i > $o] : (! [X1 : $i] : (X0 @ X1))))), 1.42/0.81 inference(rectify,[status(thm)],[f28])). 1.42/0.81 thf(f28,axiom,( 1.42/0.81 (mvalid = (^[X3 : $i > $o] : (! [X2 : $i] : (X3 @ X2))))), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mvalid)). 1.42/0.81 thf(f243,plain,( 1.42/0.81 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f206])). 1.42/0.81 thf(f206,plain,( 1.42/0.81 ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)), 1.42/0.81 inference(fool_elimination,[status(thm)],[f205])). 1.42/0.81 thf(f205,plain,( 1.42/0.81 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))), 1.42/0.81 inference(rectify,[status(thm)],[f66])). 1.42/0.81 thf(f66,axiom,( 1.42/0.81 (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',axiom_a3_2)). 1.42/0.81 thf(f613,plain,( 1.42/0.81 ( ! [X0 : $i] : (((a3 @ sK3 @ (sK2 @ X0)) = $false)) )), 1.42/0.81 inference(trivial_inequality_removal,[status(thm)],[f607])). 1.42/0.81 thf(f607,plain,( 1.42/0.81 ( ! [X0 : $i] : (($true = $false) | ((a3 @ sK3 @ (sK2 @ X0)) = $false)) )), 1.42/0.81 inference(superposition,[status(thm)],[f343,f567])). 1.42/0.81 thf(f567,plain,( 1.42/0.81 ( ! [X2 : $i,X0 : mu,X1 : mu] : (((likes @ X0 @ X1 @ X2) = $false) | ((a3 @ sK3 @ X2) = $false)) )), 1.42/0.81 inference(trivial_inequality_removal,[status(thm)],[f565])). 1.42/0.81 thf(f565,plain,( 1.42/0.81 ( ! [X2 : $i,X0 : mu,X1 : mu] : (((likes @ X0 @ X1 @ X2) = $false) | ($true = $false) | ((a3 @ sK3 @ X2) = $false)) )), 1.42/0.81 inference(superposition,[status(thm)],[f356,f379])). 1.42/0.81 thf(f379,plain,( 1.42/0.81 ( ! [X2 : mu,X1 : mu] : (((possibly_likes @ X1 @ X2 @ sK3) = $false)) )), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f378])). 1.42/0.81 thf(f378,plain,( 1.42/0.81 ( ! [X2 : mu,X1 : mu] : (((~ (possibly_likes @ X1 @ X2 @ sK3)) = $true)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f377])). 1.42/0.81 thf(f377,plain,( 1.42/0.81 ( ! [X2 : mu,X1 : mu] : ((((^[Y0 : mu]: (~ (possibly_likes @ X1 @ Y0 @ sK3))) @ X2) = $true)) )), 1.42/0.81 inference(pi_clausification,[status(thm)],[f376])). 1.42/0.81 thf(f376,plain,( 1.42/0.81 ( ! [X1 : mu] : (((!! @ mu @ (^[Y0 : mu]: (~ (possibly_likes @ X1 @ Y0 @ sK3)))) = $true)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f375])). 1.42/0.81 thf(f375,plain,( 1.42/0.81 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK3))))) @ X1))) )), 1.42/0.81 inference(pi_clausification,[status(thm)],[f374])). 1.42/0.81 thf(f374,plain,( 1.42/0.81 ((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK3)))))) = $true)), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f373])). 1.42/0.81 thf(f373,plain,( 1.42/0.81 ((~ (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK3))))))) = $false)), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f372])). 1.42/0.81 thf(f372,plain,( 1.42/0.81 (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))) @ sK3) = $false)), 1.42/0.81 inference(sigma_clausification,[status(thm)],[f371])). 1.42/0.81 thf(f371,plain,( 1.42/0.81 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0))))))))) = $false)), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f312])). 1.42/0.81 thf(f312,plain,( 1.42/0.81 ((~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))))) = $true)), 1.42/0.81 inference(boolean_simplification,[status(thm)],[f311])). 1.42/0.81 thf(f311,plain,( 1.42/0.81 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (~ (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))))))))), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f286])). 1.42/0.81 thf(f286,plain,( 1.42/0.81 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))) = $true)), 1.42/0.81 inference(definition_unfolding,[status(thm)],[f249,f252,f272,f272])). 1.42/0.81 thf(f272,plain,( 1.42/0.81 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))), 1.42/0.81 inference(definition_unfolding,[status(thm)],[f262,f266,f255,f266])). 1.42/0.81 thf(f255,plain,( 1.42/0.81 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f99])). 1.42/0.81 thf(f99,plain,( 1.42/0.81 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f98])). 1.42/0.81 thf(f98,plain,( 1.42/0.81 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)), 1.42/0.81 inference(rectify,[status(thm)],[f10])). 1.42/0.81 thf(f10,axiom,( 1.42/0.81 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mforall_ind)). 1.42/0.81 thf(f262,plain,( 1.42/0.81 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f212])). 1.42/0.81 thf(f212,plain,( 1.42/0.81 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f211])). 1.42/0.81 thf(f211,plain,( 1.42/0.81 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)), 1.42/0.81 inference(rectify,[status(thm)],[f12])). 1.42/0.81 thf(f12,axiom,( 1.42/0.81 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mexists_ind)). 1.42/0.81 thf(f249,plain,( 1.42/0.81 ((~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))) = $true)), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f77])). 1.42/0.81 thf(f77,plain,( 1.42/0.81 ((~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))) = $true)), 1.42/0.81 inference(fool_elimination,[status(thm)],[f76])). 1.42/0.81 thf(f76,plain,( 1.42/0.81 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))), 1.42/0.81 inference(rectify,[status(thm)],[f44])). 1.42/0.81 thf(f44,negated_conjecture,( 1.42/0.81 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))), 1.42/0.81 inference(negated_conjecture,[status(cth)],[f43])). 1.42/0.81 thf(f43,conjecture,( 1.42/0.81 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',conj)). 1.42/0.81 thf(f356,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ((a3 @ X1 @ X4) = $false)) )), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f355])). 1.42/0.81 thf(f355,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((a3 @ X1 @ X4) = $false) | ((~ (likes @ X2 @ X3 @ X4)) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f354])). 1.42/0.81 thf(f354,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((~ (a3 @ X1 @ X4)) = $true) | ((~ (likes @ X2 @ X3 @ X4)) = $true)) )), 1.42/0.81 inference(binary_proxy_clausification,[status(thm)],[f353])). 1.42/0.81 thf(f353,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((~ (a3 @ X1 @ X4)) | (~ (likes @ X2 @ X3 @ X4))) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f352])). 1.42/0.81 thf(f352,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0)))) @ X4) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )), 1.42/0.81 inference(pi_clausification,[status(thm)],[f351])). 1.42/0.81 thf(f351,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0))))) = $true)) )), 1.42/0.81 inference(binary_proxy_clausification,[status(thm)],[f350])). 1.42/0.81 thf(f350,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)) = $true)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f349])). 1.42/0.81 thf(f349,plain,( 1.42/0.81 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3) = $true)) )), 1.42/0.81 inference(pi_clausification,[status(thm)],[f348])). 1.42/0.81 thf(f348,plain,( 1.42/0.81 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))) = $true)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f347])). 1.42/0.81 thf(f347,plain,( 1.42/0.81 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a3 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2) = $true)) )), 1.42/0.81 inference(pi_clausification,[status(thm)],[f346])). 1.42/0.81 thf(f346,plain,( 1.42/0.81 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a3 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))) = $true)) )), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f345])). 1.42/0.81 thf(f345,plain,( 1.42/0.81 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a3 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1) = $true)) )), 1.42/0.81 inference(pi_clausification,[status(thm)],[f316])). 1.42/0.81 thf(f316,plain,( 1.42/0.81 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a3 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)), 1.42/0.81 inference(boolean_simplification,[status(thm)],[f315])). 1.42/0.81 thf(f315,plain,( 1.42/0.81 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (a3 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)), 1.42/0.81 inference(beta_eta_normalization,[status(thm)],[f279])). 1.42/0.81 thf(f279,plain,( 1.42/0.81 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y4 @ Y6 @ Y7)) | (Y5 @ Y7))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)), 1.42/0.81 inference(definition_unfolding,[status(thm)],[f233,f252,f255,f255,f268,f273])). 1.42/0.81 thf(f268,plain,( 1.42/0.81 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))), 1.42/0.81 inference(definition_unfolding,[status(thm)],[f232,f230,f266])). 1.42/0.81 thf(f230,plain,( 1.42/0.81 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f216])). 1.42/0.81 thf(f216,plain,( 1.42/0.81 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f215])). 1.42/0.81 thf(f215,plain,( 1.42/0.81 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))), 1.42/0.81 inference(rectify,[status(thm)],[f4])). 1.42/0.81 thf(f4,axiom,( 1.42/0.81 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mor)). 1.42/0.81 thf(f232,plain,( 1.42/0.81 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f186])). 1.42/0.81 thf(f186,plain,( 1.42/0.81 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 1.42/0.81 inference(fool_elimination,[status(thm)],[f185])). 1.42/0.81 thf(f185,plain,( 1.42/0.81 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)), 1.42/0.81 inference(rectify,[status(thm)],[f6])). 1.42/0.81 thf(f6,axiom,( 1.42/0.81 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',mimplies)). 1.42/0.81 thf(f233,plain,( 1.42/0.81 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)), 1.42/0.81 inference(cnf_transformation,[status(thm)],[f118])). 1.42/0.81 thf(f118,plain,( 1.42/0.81 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)), 1.42/0.81 inference(fool_elimination,[status(thm)],[f117])). 1.42/0.81 thf(f117,plain,( 1.42/0.81 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))), 1.42/0.81 inference(rectify,[status(thm)],[f40])). 1.42/0.81 thf(f40,axiom,( 1.42/0.81 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))), 1.42/0.81 file('/export/starexec/sandbox2/tmp/tmp.UNTEq6FCZ4/E---3.1_656849.p',axiom_user_communication_5)). 1.42/0.81 thf(f343,plain,( 1.42/0.81 ( ! [X1 : $i] : (((likes @ piotr @ pepsi @ (sK2 @ X1)) = $true)) )), 1.42/0.81 inference(not_proxy_clausification,[status(thm)],[f341])). 1.42/0.81 thf(f341,plain,( 1.42/0.81 ( ! [X1 : $i] : (((~ (likes @ piotr @ pepsi @ (sK2 @ X1))) = $false)) )), 1.42/0.81 inference(binary_proxy_clausification,[status(thm)],[f340])). 1.42/0.81 % SZS output end Proof for E---3.1_656849 1.42/0.81 % (656920)------------------------------ 1.42/0.81 % (656920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.42/0.81 % (656920)Termination reason: Refutation 1.42/0.81 1.42/0.81 % (656920)Memory used [KB]: 6012 1.42/0.81 % (656920)Time elapsed: 0.095 s 1.42/0.81 % (656920)Instructions burned: 70 (million) 1.42/0.81 % (656920)------------------------------ 1.42/0.81 % (656920)------------------------------ 1.42/0.81 % (656892)Success in time 0.262 s 1.42/0.81 EOF